{"id":1,"expression_no_base_symbol":"+⊝⨔(($4131$≭$2169$≋⫹)∲⫓($3865$/$1330$)↬($2510$∧))","expression":"+⊝⨔((⫏≰12200000≭⫏≰2222100≋⫹)∲⫓(⫏≰12022011/⫏≰1211021)↬(⫏≰10102222∧))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":36,"operation_count":7,"complexity_ratio":5.142857142857143,"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":4131,"base":3},"right_expr":{"type":"numeric_atoms","value":2169,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3865,"base":3},"right_expr":{"type":"numeric_atoms","value":1330,"base":3}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2510,"base":3}}}}},"used_operators":["DhbWaqg5eL","i8ToyICDmI","N41Kp7NANJ","rxpJgHHUmx","B5M0gjZbta","XhwjNDsVaA","z63VuFQld9"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=4131","layer":4},{"info":"number node, value=2169","layer":4},{"info":"compute binary expreesion, left_input=4131, right_input=2169, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3865","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=3865, right_input=1330, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=2510","layer":4},{"info":"compute unary expreesion, input=2510, 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=2, 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=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 = 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":3,"result_base":3,"text":"+⊝⨔((⫏≰12200000≭⫏≰2222100≋⫹)∲⫓(⫏≰12022011/⫏≰1211021)↬(⫏≰10102222∧))=⫏≰2002101","reverse_text":"⫏≰2002101=+⊝⨔((⫏≰12200000≭⫏≰2222100≋⫹)∲⫓(⫏≰12022011/⫏≰1211021)↬(⫏≰10102222∧))","cot":[{"info":"⫏≰12200000≭⫏≰2222100=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"⫏≰12022011/⫏≰1211021=⫏≰2","layer":3},{"info":"⫏≰10102222∧=NaN","layer":3},{"info":"⫏≰2↬NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⫏≰2002101","layer":0}]}
{"id":2,"expression_no_base_symbol":"($7485$⋥≓≎$1030$↺($2382$⪒$7665$)≋⫹)↬(($2543$⨽$1003$)⋳⪒($1061$⩨$6593$)⊭↱(⊄⩳↩(↯⪼$3661$)))","expression":"(⫏≰101021020⋥≓≎⫏≰1102011↺(⫏≰10021020⪒⫏≰101111220)≋⫹)↬((⫏≰10111012⨽⫏≰1101011)⋳⪒(⫏≰1110022⩨⫏≰100001012)⊭↱(⊄⩳↩(↯⪼⫏≰12000121)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2621,"operation_count":11,"complexity_ratio":238.27272727272728,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7485,"base":3},"right_expr":{"type":"numeric_atoms","value":1030,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2382,"base":3},"right_expr":{"type":"numeric_atoms","value":7665,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2543,"base":3},"right_expr":{"type":"numeric_atoms","value":1003,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1061,"base":3},"right_expr":{"type":"numeric_atoms","value":6593,"base":3}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3661,"base":3}}}}},"used_operators":["B5M0gjZbta","N41Kp7NANJ","7j4O788W3g","Qy55tPpLXF","f6k1SAg4EE","COABgblf1C","12rbrZMWeM","8HhzD0ZcuI","2DlMacCsIx","8w2t5hMYqp","8jW3W4yZS5"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7485","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=7485, right_input=1030, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-5392","layer":3},{"info":"number node, value=2382","layer":4},{"info":"number node, value=7665","layer":4},{"info":"compute binary expreesion, left_input=2382, right_input=7665, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10047","layer":3},{"info":"compute binary expreesion, left_input=-5392, right_input=-10047, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-10047","layer":2},{"info":"compute unary expreesion, input=-10047, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=20094","layer":1},{"info":"number node, value=2543","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=2543, right_input=1003, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19402242","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=6593","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=6593, 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=-19402242, right_input=-18, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-38804753","layer":2},{"info":"number node, value=3661","layer":4},{"info":"compute unary expreesion, input=3661, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=63","layer":2},{"info":"compute binary expreesion, left_input=-38804753, right_input=63, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=77609637","layer":1},{"info":"compute binary expreesion, left_input=20094, right_input=77609637, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":3,"result_base":3,"text":"(⫏≰101021020⋥≓≎⫏≰1102011↺(⫏≰10021020⪒⫏≰101111220)≋⫹)↬((⫏≰10111012⨽⫏≰1101011)⋳⪒(⫏≰1110022⩨⫏≰100001012)⊭↱(⊄⩳↩(↯⪼⫏≰12000121)))=NaN","reverse_text":"NaN=(⫏≰101021020⋥≓≎⫏≰1102011↺(⫏≰10021020⪒⫏≰101111220)≋⫹)↬((⫏≰10111012⨽⫏≰1101011)⋳⪒(⫏≰1110022⩨⫏≰100001012)⊭↱(⊄⩳↩(↯⪼⫏≰12000121)))","cot":[{"info":"⫏≰101021020⋥≓≎⫏≰1102011=⫏≰-21101201","layer":3},{"info":"⫏≰10021020⪒⫏≰101111220=⫏≰-111210010","layer":3},{"info":"⫏≰-21101201↺⫏≰-111210010=⫏≰-111210010","layer":2},{"info":"⫏≰-111210010≋⫹=⫏≰1000120020","layer":1},{"info":"⫏≰10111012⨽⫏≰1101011=⫏≰-1100111201212120","layer":3},{"info":"⫏≰1110022⩨⫏≰100001012=⫏≰-200","layer":3},{"info":"⫏≰-1100111201212120⋳⪒⫏≰-200=⫏≰-2201000111010002","layer":2},{"info":"↯⪼⫏≰12000121=⫏≰-210","layer":3},{"info":"⊄⩳↩⫏≰-210=⫏≰2100","layer":2},{"info":"⫏≰-2201000111010002⊭↱⫏≰2100=⫏≰12102000222102000","layer":1},{"info":"⫏≰1000120020↬⫏≰12102000222102000=NaN","layer":0}]}
{"id":3,"expression_no_base_symbol":"(($1695$*$3186$)⋥≓≎$2849$⪛$1242$⪨≂$1871$≧⫂∧$1729$⋥≓≎($4633$⫡⨏$1592$))⊦⊿","expression":"((⫏≰2022210*⫏≰11101000)⋥≓≎⫏≰10220112⪛⫏≰1201000⪨≂⫏≰2120022≧⫂∧⫏≰2101001⋥≓≎(⫏≰20100121⫡⨏⫏≰2011222))⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1727,"operation_count":8,"complexity_ratio":215.875,"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":1695,"base":3},"right_expr":{"type":"numeric_atoms","value":3186,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2849,"base":3},"right_expr":{"type":"numeric_atoms","value":1242,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1871,"base":3},"right_expr":{"type":"numeric_atoms","value":1729,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4633,"base":3},"right_expr":{"type":"numeric_atoms","value":1592,"base":3}}}}},"used_operators":["14qkJME0vr","sdazOOVcIp","Qy55tPpLXF","9HNa5Wba9A","uFcxV4UQCh","Ph9nP6C5qx","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2021120002102002","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1695","layer":4},{"info":"number node, value=3186","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=3186, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5400270","layer":3},{"info":"number node, value=2849","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=2849, right_input=1242, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=365","layer":3},{"info":"compute binary expreesion, left_input=5400270, right_input=365, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-5399507","layer":2},{"info":"number node, value=1871","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=1729, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1256","layer":3},{"info":"number node, value=4633","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=4633, right_input=1592, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27132","layer":3},{"info":"compute binary expreesion, left_input=1256, right_input=27132, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=53041","layer":2},{"info":"compute binary expreesion, left_input=-5399507, right_input=53041, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-10904994","layer":1},{"info":"compute unary expreesion, input=-10904994, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=32714903","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2022210*⫏≰11101000)⋥≓≎⫏≰10220112⪛⫏≰1201000⪨≂⫏≰2120022≧⫂∧⫏≰2101001⋥≓≎(⫏≰20100121⫡⨏⫏≰2011222))⊦⊿=⫏≰2021120002102002","reverse_text":"⫏≰2021120002102002=((⫏≰2022210*⫏≰11101000)⋥≓≎⫏≰10220112⪛⫏≰1201000⪨≂⫏≰2120022≧⫂∧⫏≰2101001⋥≓≎(⫏≰20100121⫡⨏⫏≰2011222))⊦⊿","cot":[{"info":"⫏≰2022210*⫏≰11101000=⫏≰101011100210000","layer":3},{"info":"⫏≰10220112⪛⫏≰1201000=⫏≰111112","layer":3},{"info":"⫏≰101011100210000⋥≓≎⫏≰111112=⫏≰-101011022201202","layer":2},{"info":"⫏≰2120022≧⫂∧⫏≰2101001=⫏≰1201112","layer":3},{"info":"⫏≰20100121⫡⨏⫏≰2011222=⫏≰1101012220","layer":3},{"info":"⫏≰1201112⋥≓≎⫏≰1101012220=⫏≰2200202111","layer":2},{"info":"⫏≰-101011022201202⪨≂⫏≰2200202111=⫏≰-202112000211200","layer":1},{"info":"⫏≰-202112000211200⊦⊿=⫏≰2021120002102002","layer":0}]}
{"id":4,"expression_no_base_symbol":"($1019$⨟⋌⩍$1449$⩚⊴⇥($3832$⪄$1163$))≧⫂∧(⩦⩻⨪$1059$∑⇟⊟$2250$)⨸⪁((($3233$≦≮≮)⋷$4185$⊭↱$1985$)⊭↱($1794$⋥≓≎$1130$)∀⇚≩($4961$⊭↱$8335$))","expression":"(⫏≰1101202⨟⋌⩍⫏≰1222200⩚⊴⇥(⫏≰12020221⪄⫏≰1121002))≧⫂∧(⩦⩻⨪⫏≰1110020∑⇟⊟⫏≰10002100)⨸⪁(((⫏≰11102202≦≮≮)⋷⫏≰12202000⊭↱⫏≰2201112)⊭↱(⫏≰2110110⋥≓≎⫏≰1112212)∀⇚≩(⫏≰20210202⊭↱⫏≰102102201))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3627,"operation_count":14,"complexity_ratio":259.07142857142856,"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":1019,"base":3},"right_expr":{"type":"numeric_atoms","value":1449,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3832,"base":3},"right_expr":{"type":"numeric_atoms","value":1163,"base":3}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1059,"base":3},"right_expr":{"type":"numeric_atoms","value":2250,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3233,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4185,"base":3},"right_expr":{"type":"numeric_atoms","value":1985,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1794,"base":3},"right_expr":{"type":"numeric_atoms","value":1130,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4961,"base":3},"right_expr":{"type":"numeric_atoms","value":8335,"base":3}}}}},"used_operators":["g55IO6H4Gj","Ph9nP6C5qx","NTOWxs364D","rGHVDoGpnC","SUmda5xLS4","2td37pGCOC","U7g4x0WXJJ","COABgblf1C","23Mk6UjR3U","D4vGDi5EA2","LRNGc0VcxI","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1019","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=1449, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=3832","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=3832, right_input=1163, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-567877","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-567877, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1059","layer":4},{"info":"number node, value=2250","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=2250, 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=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=3233","layer":4},{"info":"compute unary expreesion, input=3233, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9699","layer":3},{"info":"number node, value=4185","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=4185, right_input=1985, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4395","layer":3},{"info":"compute binary expreesion, left_input=-9699, right_input=-4395, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=19398","layer":2},{"info":"number node, value=1794","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=1130, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=499","layer":3},{"info":"number node, value=4961","layer":4},{"info":"number node, value=8335","layer":4},{"info":"compute binary expreesion, left_input=4961, right_input=8335, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6753","layer":3},{"info":"compute binary expreesion, left_input=499, right_input=6753, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=19398, 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=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1101202⨟⋌⩍⫏≰1222200⩚⊴⇥(⫏≰12020221⪄⫏≰1121002))≧⫂∧(⩦⩻⨪⫏≰1110020∑⇟⊟⫏≰10002100)⨸⪁(((⫏≰11102202≦≮≮)⋷⫏≰12202000⊭↱⫏≰2201112)⊭↱(⫏≰2110110⋥≓≎⫏≰1112212)∀⇚≩(⫏≰20210202⊭↱⫏≰102102201))=NaN","reverse_text":"NaN=(⫏≰1101202⨟⋌⩍⫏≰1222200⩚⊴⇥(⫏≰12020221⪄⫏≰1121002))≧⫂∧(⩦⩻⨪⫏≰1110020∑⇟⊟⫏≰10002100)⨸⪁(((⫏≰11102202≦≮≮)⋷⫏≰12202000⊭↱⫏≰2201112)⊭↱(⫏≰2110110⋥≓≎⫏≰1112212)∀⇚≩(⫏≰20210202⊭↱⫏≰102102201))","cot":[{"info":"⫏≰1101202⨟⋌⩍⫏≰1222200=NaN","layer":3},{"info":"⫏≰12020221⪄⫏≰1121002=⫏≰-1001211222111","layer":3},{"info":"NaN⩚⊴⇥⫏≰-1001211222111=NaN","layer":2},{"info":"⫏≰1110020∑⇟⊟⫏≰10002100=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⫏≰11102202≦≮≮=⫏≰-111022020","layer":3},{"info":"⫏≰12202000⊭↱⫏≰2201112=⫏≰-20000210","layer":3},{"info":"⫏≰-111022020⋷⫏≰-20000210=⫏≰222121110","layer":2},{"info":"⫏≰2110110⋥≓≎⫏≰1112212=⫏≰200111","layer":3},{"info":"⫏≰20210202⊭↱⫏≰102102201=⫏≰100021010","layer":3},{"info":"⫏≰200111∀⇚≩⫏≰100021010=NaN","layer":2},{"info":"⫏≰222121110⊭↱NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":5,"expression_no_base_symbol":"(⊥($3911$⋓$4366$))⪛(($3832$∲⫓$6708$)⩷∴($2159$⩠))⪐","expression":"(⊥(⫏≰12100212⋓⫏≰12222201))⪛((⫏≰12020221∲⫓⫏≰100012110)⩷∴(⫏≰2221222⩠))⪐","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":46,"operation_count":7,"complexity_ratio":6.571428571428571,"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":3911,"base":3},"right_expr":{"type":"numeric_atoms","value":4366,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3832,"base":3},"right_expr":{"type":"numeric_atoms","value":6708,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2159,"base":3}}}}},"used_operators":["eH2TOUuTDT","uFcxV4UQCh","Q3PJZHRvZv","T2fj7uvVaJ","9FxExcQeMw","i8ToyICDmI","sJAwomhLZr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","fu6greOZ01","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3911","layer":4},{"info":"number node, value=4366","layer":4},{"info":"compute binary expreesion, left_input=3911, right_input=4366, op_id = T2fj7uvVaJ 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":2},{"info":"number node, value=3832","layer":4},{"info":"number node, value=6708","layer":4},{"info":"compute binary expreesion, left_input=3832, right_input=6708, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2159","layer":4},{"info":"compute unary expreesion, input=2159, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-32","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-32, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⊥(⫏≰12100212⋓⫏≰12222201))⪛((⫏≰12020221∲⫓⫏≰100012110)⩷∴(⫏≰2221222⩠))⪐=⫏≰0","reverse_text":"⫏≰0=(⊥(⫏≰12100212⋓⫏≰12222201))⪛((⫏≰12020221∲⫓⫏≰100012110)⩷∴(⫏≰2221222⩠))⪐","cot":[{"info":"⫏≰12100212⋓⫏≰12222201=⫏≰0","layer":3},{"info":"⊥⫏≰0=⫏≰0","layer":2},{"info":"⫏≰12020221∲⫓⫏≰100012110=⫏≰0","layer":3},{"info":"⫏≰2221222⩠=⫏≰0","layer":3},{"info":"⫏≰0⩷∴⫏≰0=⫏≰-1012","layer":2},{"info":"⫏≰0⪛⫏≰-1012=⫏≰0","layer":1},{"info":"⫏≰0⪐=⫏≰0","layer":0}]}
{"id":6,"expression_no_base_symbol":"↔(↩($6132$≣⋋)⨳⩥⨓($7918$∲⫓$1321$))","expression":"↔(↩(⫏≰22102010≣⋋)⨳⩥⨓(⫏≰101212021∲⫓⫏≰1210221))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":545,"operation_count":5,"complexity_ratio":109.0,"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":6132,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7918,"base":3},"right_expr":{"type":"numeric_atoms","value":1321,"base":3}}}}},"used_operators":["ruOEQAzv1W","jLgFTUHLKL","nCS4ZIUYfx","Tcnh7f0tEr","i8ToyICDmI"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-20021022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6132","layer":4},{"info":"compute unary expreesion, input=6132, 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=7918","layer":4},{"info":"number node, value=1321","layer":4},{"info":"compute binary expreesion, left_input=7918, right_input=1321, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', 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":"compute unary expreesion, input=4844, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4571","layer":0}],"base":3,"result_base":3,"text":"↔(↩(⫏≰22102010≣⋋)⨳⩥⨓(⫏≰101212021∲⫓⫏≰1210221))=⫏≰-20021022","reverse_text":"⫏≰-20021022=↔(↩(⫏≰22102010≣⋋)⨳⩥⨓(⫏≰101212021∲⫓⫏≰1210221))","cot":[{"info":"⫏≰22102010≣⋋=⫏≰0","layer":3},{"info":"⫏≰101212021∲⫓⫏≰1210221=⫏≰0","layer":3},{"info":"⫏≰0⨳⩥⨓⫏≰0=⫏≰0","layer":2},{"info":"↩⫏≰0=⫏≰20122102","layer":1},{"info":"↔⫏≰20122102=⫏≰-20021022","layer":0}]}
{"id":7,"expression_no_base_symbol":"⨰⫟⨤(($1039$+⇶⊼$1703$)⪘⫢($1185$⪒$5110$)∑⇟⊟(($1288$∸)/$1137$≹⇙⪍$4414$))","expression":"⨰⫟⨤((⫏≰1102111+⇶⊼⫏≰2100002)⪘⫢(⫏≰1121220⪒⫏≰21000021)∑⇟⊟((⫏≰1202201∸)/⫏≰1120010≹⇙⪍⫏≰20001111))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":222,"operation_count":8,"complexity_ratio":27.75,"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":1039,"base":3},"right_expr":{"type":"numeric_atoms","value":1703,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1185,"base":3},"right_expr":{"type":"numeric_atoms","value":5110,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1288,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1137,"base":3},"right_expr":{"type":"numeric_atoms","value":4414,"base":3}}}}},"used_operators":["Tw270M8GLb","U7g4x0WXJJ","oacrs7FA3X","TpPTUOHfaN","f6k1SAg4EE","XhwjNDsVaA","o20kRiQErp","AHs5Up7iyr"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=1703, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1185","layer":4},{"info":"number node, value=5110","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=5110, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6295","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6295, 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=1288","layer":4},{"info":"compute unary expreesion, input=1288, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1137","layer":4},{"info":"number node, value=4414","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=4414, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=177, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤((⫏≰1102111+⇶⊼⫏≰2100002)⪘⫢(⫏≰1121220⪒⫏≰21000021)∑⇟⊟((⫏≰1202201∸)/⫏≰1120010≹⇙⪍⫏≰20001111))=NaN","reverse_text":"NaN=⨰⫟⨤((⫏≰1102111+⇶⊼⫏≰2100002)⪘⫢(⫏≰1121220⪒⫏≰21000021)∑⇟⊟((⫏≰1202201∸)/⫏≰1120010≹⇙⪍⫏≰20001111))","cot":[{"info":"⫏≰1102111+⇶⊼⫏≰2100002=NaN","layer":3},{"info":"⫏≰1121220⪒⫏≰21000021=⫏≰-22122011","layer":3},{"info":"NaN⪘⫢⫏≰-22122011=NaN","layer":2},{"info":"⫏≰1202201∸=⫏≰20120","layer":3},{"info":"⫏≰1120010≹⇙⪍⫏≰20001111=NaN","layer":3},{"info":"⫏≰20120/NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":8,"expression_no_base_symbol":"⪝⪂⫅(($7523$%$1133$)∑⇟⊟($2589$⩷∴$8148$)⋷(-$1960$)⊭↱$1169$⨳⩥⨓$3568$)","expression":"⪝⪂⫅((⫏≰101022122%⫏≰1112222)∑⇟⊟(⫏≰10112220⩷∴⫏≰102011210)⋷(-⫏≰2200121)⊭↱⫏≰1121022⨳⩥⨓⫏≰11220011)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":29,"operation_count":8,"complexity_ratio":3.625,"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":7523,"base":3},"right_expr":{"type":"numeric_atoms","value":1133,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2589,"base":3},"right_expr":{"type":"numeric_atoms","value":8148,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1960,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1169,"base":3},"right_expr":{"type":"numeric_atoms","value":3568,"base":3}}}}},"used_operators":["XTarYq4gQB","23Mk6UjR3U","U7g4x0WXJJ","k8jYdgA6NY","9FxExcQeMw","COABgblf1C","t8gj7n24qd","nCS4ZIUYfx"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7523","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=7523, right_input=1133, op_id = k8jYdgA6NY binary_op_definition= 'None', output=725","layer":3},{"info":"number node, value=2589","layer":4},{"info":"number node, value=8148","layer":4},{"info":"compute binary expreesion, left_input=2589, right_input=8148, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-11150","layer":3},{"info":"compute binary expreesion, left_input=725, right_input=-11150, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1960","layer":4},{"info":"compute unary expreesion, input=1960, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1960","layer":3},{"info":"number node, value=1169","layer":4},{"info":"number node, value=3568","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=3568, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2399","layer":3},{"info":"compute binary expreesion, left_input=-1960, right_input=2399, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8723","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8723, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪝⪂⫅((⫏≰101022122%⫏≰1112222)∑⇟⊟(⫏≰10112220⩷∴⫏≰102011210)⋷(-⫏≰2200121)⊭↱⫏≰1121022⨳⩥⨓⫏≰11220011)=NaN","reverse_text":"NaN=⪝⪂⫅((⫏≰101022122%⫏≰1112222)∑⇟⊟(⫏≰10112220⩷∴⫏≰102011210)⋷(-⫏≰2200121)⊭↱⫏≰1121022⨳⩥⨓⫏≰11220011)","cot":[{"info":"⫏≰101022122%⫏≰1112222=⫏≰222212","layer":3},{"info":"⫏≰10112220⩷∴⫏≰102011210=⫏≰-120021222","layer":3},{"info":"⫏≰222212∑⇟⊟⫏≰-120021222=NaN","layer":2},{"info":"-⫏≰2200121=⫏≰-2200121","layer":3},{"info":"⫏≰1121022⨳⩥⨓⫏≰11220011=⫏≰10021212","layer":3},{"info":"⫏≰-2200121⊭↱⫏≰10021212=⫏≰102222002","layer":2},{"info":"NaN⋷⫏≰102222002=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":9,"expression_no_base_symbol":"(↔($8249$/$2174$))↙(⫓⪴($4815$⫡⨏$1403$))⇼⇔∾(⋗⩬⋾($1200$⨸⪁$1545$)≹⇙⪍($1149$⋝⋈⪟$2130$))","expression":"(↔(⫏≰102022112/⫏≰2222112))↙(⫓⪴(⫏≰20121100⫡⨏⫏≰1220222))⇼⇔∾(⋗⩬⋾(⫏≰1122110⨸⪁⫏≰2010020)≹⇙⪍(⫏≰1120120⋝⋈⪟⫏≰2220220))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27700,"operation_count":10,"complexity_ratio":2770.0,"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":8249,"base":3},"right_expr":{"type":"numeric_atoms","value":2174,"base":3}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4815,"base":3},"right_expr":{"type":"numeric_atoms","value":1403,"base":3}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1200,"base":3},"right_expr":{"type":"numeric_atoms","value":1545,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1149,"base":3},"right_expr":{"type":"numeric_atoms","value":2130,"base":3}}}}},"used_operators":["tifHPKVTfV","yyfyN0ffXY","ruOEQAzv1W","XhwjNDsVaA","eLxqMNBOBk","QMFrweE19q","DpFCA1CohY","AHs5Up7iyr","g55IO6H4Gj","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8249","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=8249, right_input=2174, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute unary expreesion, input=3, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=783","layer":2},{"info":"number node, value=4815","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=4815, right_input=1403, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27664","layer":3},{"info":"compute unary expreesion, input=27664, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=765296896","layer":2},{"info":"compute binary expreesion, left_input=783, right_input=765296896, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1200","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=1545, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5490","layer":3},{"info":"number node, value=1149","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=2130, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1149","layer":3},{"info":"compute binary expreesion, left_input=5490, right_input=1149, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↔(⫏≰102022112/⫏≰2222112))↙(⫓⪴(⫏≰20121100⫡⨏⫏≰1220222))⇼⇔∾(⋗⩬⋾(⫏≰1122110⨸⪁⫏≰2010020)≹⇙⪍(⫏≰1120120⋝⋈⪟⫏≰2220220))=NaN","reverse_text":"NaN=(↔(⫏≰102022112/⫏≰2222112))↙(⫓⪴(⫏≰20121100⫡⨏⫏≰1220222))⇼⇔∾(⋗⩬⋾(⫏≰1122110⨸⪁⫏≰2010020)≹⇙⪍(⫏≰1120120⋝⋈⪟⫏≰2220220))","cot":[{"info":"⫏≰102022112/⫏≰2222112=⫏≰10","layer":3},{"info":"↔⫏≰10=⫏≰1002000","layer":2},{"info":"⫏≰20121100⫡⨏⫏≰1220222=⫏≰1101221121","layer":3},{"info":"⫓⪴⫏≰1101221121=⫏≰1222100001002222111","layer":2},{"info":"⫏≰1002000↙⫏≰1222100001002222111=NaN","layer":1},{"info":"⫏≰1122110⨸⪁⫏≰2010020=⫏≰21112100","layer":3},{"info":"⫏≰1120120⋝⋈⪟⫏≰2220220=⫏≰1120120","layer":3},{"info":"⫏≰21112100≹⇙⪍⫏≰1120120=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":10,"expression_no_base_symbol":"($1029$+⇶⊼$1274$)∼$1699$≹⇙⪍$1140$⫡⨏($1346$≦≮≮)⩨($2210$⨸⪁$3968$)⪨≂(($6775$⪐)∧)⊴(($6604$⋥≓≎$3708$)∸)","expression":"(⫏≰1102010+⇶⊼⫏≰1202012)∼⫏≰2022221≹⇙⪍⫏≰1120020⫡⨏(⫏≰1211212≦≮≮)⩨(⫏≰10000212⨸⪁⫏≰12102222)⪨≂((⫏≰100021221⪐)∧)⊴((⫏≰100001121⋥≓≎⫏≰12002100)∸)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":401,"operation_count":13,"complexity_ratio":30.846153846153847,"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":1029,"base":3},"right_expr":{"type":"numeric_atoms","value":1274,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1699,"base":3},"right_expr":{"type":"numeric_atoms","value":1140,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1346,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2210,"base":3},"right_expr":{"type":"numeric_atoms","value":3968,"base":3}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":6775,"base":3}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6604,"base":3},"right_expr":{"type":"numeric_atoms","value":3708,"base":3}}}}},"used_operators":["sdazOOVcIp","QMFrweE19q","DyGG3AbaNP","TpPTUOHfaN","AHs5Up7iyr","2DlMacCsIx","D4vGDi5EA2","g55IO6H4Gj","Nsiff2A1zJ","z63VuFQld9","eH2TOUuTDT","o20kRiQErp","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=1274, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1699","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=1140, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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=1346","layer":4},{"info":"compute unary expreesion, input=1346, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4038","layer":3},{"info":"number node, value=2210","layer":4},{"info":"number node, value=3968","layer":4},{"info":"compute binary expreesion, left_input=2210, right_input=3968, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12356","layer":3},{"info":"compute binary expreesion, left_input=-4038, right_input=12356, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=12","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":1},{"info":"number node, value=6775","layer":4},{"info":"compute unary expreesion, input=6775, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=13550","layer":3},{"info":"compute unary expreesion, input=13550, 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=6604","layer":4},{"info":"number node, value=3708","layer":4},{"info":"compute binary expreesion, left_input=6604, right_input=3708, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=845","layer":3},{"info":"compute unary expreesion, input=845, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":3,"result_base":3,"text":"(⫏≰1102010+⇶⊼⫏≰1202012)∼⫏≰2022221≹⇙⪍⫏≰1120020⫡⨏(⫏≰1211212≦≮≮)⩨(⫏≰10000212⨸⪁⫏≰12102222)⪨≂((⫏≰100021221⪐)∧)⊴((⫏≰100001121⋥≓≎⫏≰12002100)∸)=NaN","reverse_text":"NaN=(⫏≰1102010+⇶⊼⫏≰1202012)∼⫏≰2022221≹⇙⪍⫏≰1120020⫡⨏(⫏≰1211212≦≮≮)⩨(⫏≰10000212⨸⪁⫏≰12102222)⪨≂((⫏≰100021221⪐)∧)⊴((⫏≰100001121⋥≓≎⫏≰12002100)∸)","cot":[{"info":"⫏≰1102010+⇶⊼⫏≰1202012=NaN","layer":3},{"info":"⫏≰2022221≹⇙⪍⫏≰1120020=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"⫏≰1211212≦≮≮=⫏≰-12112120","layer":3},{"info":"⫏≰10000212⨸⪁⫏≰12102222=⫏≰121221122","layer":3},{"info":"⫏≰-12112120⩨⫏≰121221122=⫏≰110","layer":2},{"info":"NaN⫡⨏⫏≰110=NaN","layer":1},{"info":"⫏≰100021221⪐=⫏≰200120212","layer":3},{"info":"⫏≰200120212∧=NaN","layer":2},{"info":"⫏≰100001121⋥≓≎⫏≰12002100=⫏≰1011022","layer":3},{"info":"⫏≰1011022∸=⫏≰20120","layer":2},{"info":"NaN⊴⫏≰20120=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":11,"expression_no_base_symbol":"($1111$≹⇙⪍$1066$∀⇚≩($2034$/$2976$))⪢(($8182$∧)⊭∹↮)⪠⩆⊳","expression":"(⫏≰1112011≹⇙⪍⫏≰1110111∀⇚≩(⫏≰2210100/⫏≰11002020))⪢((⫏≰102020001∧)⊭∹↮)⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22,"operation_count":7,"complexity_ratio":3.142857142857143,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1111,"base":3},"right_expr":{"type":"numeric_atoms","value":1066,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2034,"base":3},"right_expr":{"type":"numeric_atoms","value":2976,"base":3}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":8182,"base":3}}}}},"used_operators":["JLbD19bQDL","dWAJyo7jo9","LRNGc0VcxI","AHs5Up7iyr","XhwjNDsVaA","xNBdhnnwKq","z63VuFQld9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","X99M06cbEe","dWAJyo7jo9","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1111","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=1066, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2034","layer":4},{"info":"number node, value=2976","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=2976, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"number node, value=8182","layer":4},{"info":"compute unary expreesion, input=8182, 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 = 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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":3,"result_base":3,"text":"(⫏≰1112011≹⇙⪍⫏≰1110111∀⇚≩(⫏≰2210100/⫏≰11002020))⪢((⫏≰102020001∧)⊭∹↮)⪠⩆⊳=NaN","reverse_text":"NaN=(⫏≰1112011≹⇙⪍⫏≰1110111∀⇚≩(⫏≰2210100/⫏≰11002020))⪢((⫏≰102020001∧)⊭∹↮)⪠⩆⊳","cot":[{"info":"⫏≰1112011≹⇙⪍⫏≰1110111=NaN","layer":3},{"info":"⫏≰2210100/⫏≰11002020=⫏≰0","layer":3},{"info":"NaN∀⇚≩⫏≰0=NaN","layer":2},{"info":"⫏≰102020001∧=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":12,"expression_no_base_symbol":"⊄⩳↩((⊄⩳↩$1811$)⨎(-$2629$)↙($2581$⪢$3971$⋫))","expression":"⊄⩳↩((⊄⩳↩⫏≰2111002)⨎(-⫏≰10121101)↙(⫏≰10112121⪢⫏≰12110002⋫))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3981,"operation_count":7,"complexity_ratio":568.7142857142857,"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":1811,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2629,"base":3}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2581,"base":3},"right_expr":{"type":"numeric_atoms","value":3971,"base":3}}}}},"used_operators":["8w2t5hMYqp","yyfyN0ffXY","rJVOvQCfKK","t8gj7n24qd","JL8yIekQnl","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","k8jYdgA6NY"],"result":"⫏≰101211010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1811","layer":4},{"info":"compute unary expreesion, input=1811, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5433","layer":3},{"info":"number node, value=2629","layer":4},{"info":"compute unary expreesion, input=2629, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2629","layer":3},{"info":"compute binary expreesion, left_input=-5433, right_input=-2629, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2629","layer":2},{"info":"number node, value=2581","layer":4},{"info":"number node, value=3971","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=3971, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":"compute binary expreesion, left_input=-2629, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2629","layer":1},{"info":"compute unary expreesion, input=-2629, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=7887","layer":0}],"base":3,"result_base":3,"text":"⊄⩳↩((⊄⩳↩⫏≰2111002)⨎(-⫏≰10121101)↙(⫏≰10112121⪢⫏≰12110002⋫))=⫏≰101211010","reverse_text":"⫏≰101211010=⊄⩳↩((⊄⩳↩⫏≰2111002)⨎(-⫏≰10121101)↙(⫏≰10112121⪢⫏≰12110002⋫))","cot":[{"info":"⊄⩳↩⫏≰2111002=⫏≰-21110020","layer":3},{"info":"-⫏≰10121101=⫏≰-10121101","layer":3},{"info":"⫏≰-21110020⨎⫏≰-10121101=⫏≰-10121101","layer":2},{"info":"⫏≰10112121⪢⫏≰12110002=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"⫏≰-10121101↙NaN=⫏≰-10121101","layer":1},{"info":"⊄⩳↩⫏≰-10121101=⫏≰101211010","layer":0}]}
{"id":13,"expression_no_base_symbol":"($2107$⩷∴$2948$/($2039$⋷$1378$))⨪↰⇹(∥⊫($1701$∸))+($1475$⋓$1224$%$3559$≧⫂∧$1531$)⨐⩸⫘($2405$≭$2930$⪠⩆⊳)","expression":"(⫏≰2220001⩷∴⫏≰11001012/(⫏≰2210112⋷⫏≰1220001))⨪↰⇹(∥⊫(⫏≰2100000∸))+(⫏≰2000122⋓⫏≰1200100%⫏≰11212211≧⫂∧⫏≰2002201)⨐⩸⫘(⫏≰10022002≭⫏≰11000112⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":219,"operation_count":13,"complexity_ratio":16.846153846153847,"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":2107,"base":3},"right_expr":{"type":"numeric_atoms","value":2948,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2039,"base":3},"right_expr":{"type":"numeric_atoms","value":1378,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1701,"base":3}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1475,"base":3},"right_expr":{"type":"numeric_atoms","value":1224,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3559,"base":3},"right_expr":{"type":"numeric_atoms","value":1531,"base":3}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2405,"base":3},"right_expr":{"type":"numeric_atoms","value":2930,"base":3}}}}},"used_operators":["W4YGzv6Whe","tmPS8pqC7x","XhwjNDsVaA","9FxExcQeMw","23Mk6UjR3U","P8v4zCKN1o","o20kRiQErp","fu6greOZ01","k8jYdgA6NY","T2fj7uvVaJ","Ph9nP6C5qx","JLbD19bQDL","rxpJgHHUmx"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","3ViojmjbAp","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2107","layer":4},{"info":"number node, value=2948","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=2948, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1714","layer":3},{"info":"number node, value=2039","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=2039, right_input=1378, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=717","layer":3},{"info":"compute binary expreesion, left_input=-1714, right_input=717, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":2},{"info":"number node, value=1701","layer":4},{"info":"compute unary expreesion, input=1701, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1045","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=1045, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":"number node, value=1475","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=1475, right_input=1224, op_id = T2fj7uvVaJ 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=3559","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=3559, right_input=1531, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1058","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1058, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2405","layer":4},{"info":"number node, value=2930","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=2930, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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 binary expreesion, left_input=3, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2220001⩷∴⫏≰11001012/(⫏≰2210112⋷⫏≰1220001))⨪↰⇹(∥⊫(⫏≰2100000∸))+(⫏≰2000122⋓⫏≰1200100%⫏≰11212211≧⫂∧⫏≰2002201)⨐⩸⫘(⫏≰10022002≭⫏≰11000112⪠⩆⊳)=NaN","reverse_text":"NaN=(⫏≰2220001⩷∴⫏≰11001012/(⫏≰2210112⋷⫏≰1220001))⨪↰⇹(∥⊫(⫏≰2100000∸))+(⫏≰2000122⋓⫏≰1200100%⫏≰11212211≧⫂∧⫏≰2002201)⨐⩸⫘(⫏≰10022002≭⫏≰11000112⪠⩆⊳)","cot":[{"info":"⫏≰2220001⩷∴⫏≰11001012=⫏≰-2100111","layer":3},{"info":"⫏≰2210112⋷⫏≰1220001=⫏≰222120","layer":3},{"info":"⫏≰-2100111/⫏≰222120=⫏≰-10","layer":2},{"info":"⫏≰2100000∸=⫏≰20120","layer":3},{"info":"∥⊫⫏≰20120=⫏≰1102201","layer":2},{"info":"⫏≰-10⨪↰⇹⫏≰1102201=⫏≰10","layer":1},{"info":"⫏≰2000122⋓⫏≰1200100=⫏≰0","layer":3},{"info":"⫏≰11212211≧⫂∧⫏≰2002201=⫏≰1110012","layer":3},{"info":"⫏≰0%⫏≰1110012=⫏≰0","layer":2},{"info":"⫏≰10022002≭⫏≰11000112=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"⫏≰0⨐⩸⫘NaN=NaN","layer":1},{"info":"⫏≰10+NaN=NaN","layer":0}]}
{"id":14,"expression_no_base_symbol":"(∂($2428$↬$1911$)⪮%⊝($2909$⫥∨⫟$7146$))⪮%⊝(($3446$⋥≓≎$1152$+($2954$⨵⪆$2619$))⪒(⇁⨣⪵(↔$6118$)))","expression":"(∂(⫏≰10022221↬⫏≰2121210)⪮%⊝(⫏≰10222202⫥∨⫟⫏≰100210200))⪮%⊝((⫏≰11201122⋥≓≎⫏≰1120200+(⫏≰11001102⨵⪆⫏≰10121000))⪒(⇁⨣⪵(↔⫏≰22101121)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":191,"operation_count":11,"complexity_ratio":17.363636363636363,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2428,"base":3},"right_expr":{"type":"numeric_atoms","value":1911,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2909,"base":3},"right_expr":{"type":"numeric_atoms","value":7146,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3446,"base":3},"right_expr":{"type":"numeric_atoms","value":1152,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2954,"base":3},"right_expr":{"type":"numeric_atoms","value":2619,"base":3}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":6118,"base":3}}}}},"used_operators":["IWmyXbctLI","Uaa54Peajs","B5M0gjZbta","KYD54nUTWz","f6k1SAg4EE","W4YGzv6Whe","Qy55tPpLXF","2DQ55sFlQl","inkyxCbjAn","ruOEQAzv1W"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2428","layer":4},{"info":"number node, value=1911","layer":4},{"info":"compute binary expreesion, left_input=2428, right_input=1911, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2909","layer":4},{"info":"number node, value=7146","layer":4},{"info":"compute binary expreesion, left_input=2909, right_input=7146, 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":"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=3446","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=3446, right_input=1152, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1109","layer":3},{"info":"number node, value=2954","layer":4},{"info":"number node, value=2619","layer":4},{"info":"compute binary expreesion, left_input=2954, right_input=2619, 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=-1109, right_input=160, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-949","layer":2},{"info":"number node, value=6118","layer":4},{"info":"compute unary expreesion, input=6118, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5845","layer":3},{"info":"compute unary expreesion, input=-5845, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-949, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(∂(⫏≰10022221↬⫏≰2121210)⪮%⊝(⫏≰10222202⫥∨⫟⫏≰100210200))⪮%⊝((⫏≰11201122⋥≓≎⫏≰1120200+(⫏≰11001102⨵⪆⫏≰10121000))⪒(⇁⨣⪵(↔⫏≰22101121)))=NaN","reverse_text":"NaN=(∂(⫏≰10022221↬⫏≰2121210)⪮%⊝(⫏≰10222202⫥∨⫟⫏≰100210200))⪮%⊝((⫏≰11201122⋥≓≎⫏≰1120200+(⫏≰11001102⨵⪆⫏≰10121000))⪒(⇁⨣⪵(↔⫏≰22101121)))","cot":[{"info":"⫏≰10022221↬⫏≰2121210=NaN","layer":3},{"info":"⫏≰10222202⫥∨⫟⫏≰100210200=NaN","layer":3},{"info":"NaN⪮%⊝NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⫏≰11201122⋥≓≎⫏≰1120200=⫏≰-1112002","layer":3},{"info":"⫏≰11001102⨵⪆⫏≰10121000=⫏≰12221","layer":3},{"info":"⫏≰-1112002+⫏≰12221=⫏≰-1022011","layer":2},{"info":"↔⫏≰22101121=⫏≰-22000111","layer":3},{"info":"⇁⨣⪵⫏≰-22000111=NaN","layer":2},{"info":"⫏≰-1022011⪒NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":15,"expression_no_base_symbol":"(⋗⩬⋾($2015$⨽$2805$)⩷∴$3645$∑⇟⊟$2118$)⪘⫢((⨰⫟⨤($3353$∲⫓$2743$))⪒$1653$⩷∴$2096$%$2127$∲⫓$2759$)","expression":"(⋗⩬⋾(⫏≰2202122⨽⫏≰10211220)⩷∴⫏≰12000000∑⇟⊟⫏≰2220110)⪘⫢((⨰⫟⨤(⫏≰11121012∲⫓⫏≰10202121))⪒⫏≰2021020⩷∴⫏≰2212122%⫏≰2220210∲⫓⫏≰10210012)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2951,"operation_count":11,"complexity_ratio":268.27272727272725,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2015,"base":3},"right_expr":{"type":"numeric_atoms","value":2805,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3645,"base":3},"right_expr":{"type":"numeric_atoms","value":2118,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3353,"base":3},"right_expr":{"type":"numeric_atoms","value":2743,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1653,"base":3},"right_expr":{"type":"numeric_atoms","value":2096,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2127,"base":3},"right_expr":{"type":"numeric_atoms","value":2759,"base":3}}}}},"used_operators":["oacrs7FA3X","DpFCA1CohY","9FxExcQeMw","8HhzD0ZcuI","U7g4x0WXJJ","f6k1SAg4EE","Tw270M8GLb","i8ToyICDmI","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2015","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=2015, right_input=2805, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12187776","layer":3},{"info":"number node, value=3645","layer":4},{"info":"number node, value=2118","layer":4},{"info":"compute binary expreesion, left_input=3645, right_input=2118, 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=-12187776, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=3353","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=3353, right_input=2743, 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=1653","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=2096, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-918","layer":3},{"info":"number node, value=2127","layer":4},{"info":"number node, value=2759","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=2759, 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=-918, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4492662, 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 = 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":3,"result_base":3,"text":"(⋗⩬⋾(⫏≰2202122⨽⫏≰10211220)⩷∴⫏≰12000000∑⇟⊟⫏≰2220110)⪘⫢((⨰⫟⨤(⫏≰11121012∲⫓⫏≰10202121))⪒⫏≰2021020⩷∴⫏≰2212122%⫏≰2220210∲⫓⫏≰10210012)=NaN","reverse_text":"NaN=(⋗⩬⋾(⫏≰2202122⨽⫏≰10211220)⩷∴⫏≰12000000∑⇟⊟⫏≰2220110)⪘⫢((⨰⫟⨤(⫏≰11121012∲⫓⫏≰10202121))⪒⫏≰2021020⩷∴⫏≰2212122%⫏≰2220210∲⫓⫏≰10210012)","cot":[{"info":"⫏≰2202122⨽⫏≰10211220=⫏≰-211221012111010","layer":3},{"info":"⫏≰12000000∑⇟⊟⫏≰2220110=NaN","layer":3},{"info":"⫏≰-211221012111010⩷∴NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⫏≰11121012∲⫓⫏≰10202121=⫏≰0","layer":3},{"info":"⨰⫟⨤⫏≰0=⫏≰22110020202220","layer":2},{"info":"⫏≰2021020⩷∴⫏≰2212122=⫏≰-1021000","layer":3},{"info":"⫏≰2220210∲⫓⫏≰10210012=⫏≰0","layer":3},{"info":"⫏≰-1021000%⫏≰0=NaN","layer":2},{"info":"⫏≰22110020202220⪒NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":16,"expression_no_base_symbol":"(($1916$⫸⊐$2597$)⩚⊴⇥($1109$⩨$1096$)⊭↱(↽≂$7897$≭$4319$))⪢($4193$≭$4866$⊭↱($1374$⊉≛↸$1977$))⪢(↯⪼$3644$)⪢$6252$⨟⋌⩍$4810$","expression":"((⫏≰2121222⫸⊐⫏≰10120012)⩚⊴⇥(⫏≰1112002⩨⫏≰1111121)⊭↱(↽≂⫏≰101211111≭⫏≰12220222))⪢(⫏≰12202022≭⫏≰20200020⊭↱(⫏≰1212220⊉≛↸⫏≰2201020))⪢(↯⪼⫏≰11222222)⪢⫏≰22120120⨟⋌⩍⫏≰20121011","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":85,"operation_count":14,"complexity_ratio":6.071428571428571,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1916,"base":3},"right_expr":{"type":"numeric_atoms","value":2597,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1109,"base":3},"right_expr":{"type":"numeric_atoms","value":1096,"base":3}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7897,"base":3},"right_expr":{"type":"numeric_atoms","value":4319,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4193,"base":3},"right_expr":{"type":"numeric_atoms","value":4866,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1374,"base":3},"right_expr":{"type":"numeric_atoms","value":1977,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3644,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6252,"base":3},"right_expr":{"type":"numeric_atoms","value":4810,"base":3}}}}},"used_operators":["dWAJyo7jo9","COABgblf1C","NTOWxs364D","mqXw5SEYmG","2DlMacCsIx","u6S6b8DprG","rxpJgHHUmx","DZ8iAZOCBD","8jW3W4yZS5","rGHVDoGpnC"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1916","layer":4},{"info":"number node, value=2597","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=2597, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10263","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1096, 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=10263, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10384","layer":2},{"info":"number node, value=7897","layer":4},{"info":"number node, value=4319","layer":4},{"info":"compute binary expreesion, left_input=7897, right_input=4319, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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=-10384, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=4193","layer":4},{"info":"number node, value=4866","layer":4},{"info":"compute binary expreesion, left_input=4193, right_input=4866, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1374","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=1977, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2748","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2748, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=3644","layer":4},{"info":"compute unary expreesion, input=3644, 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=6252","layer":4},{"info":"number node, value=4810","layer":4},{"info":"compute binary expreesion, left_input=6252, right_input=4810, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-21, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":3,"result_base":3,"text":"((⫏≰2121222⫸⊐⫏≰10120012)⩚⊴⇥(⫏≰1112002⩨⫏≰1111121)⊭↱(↽≂⫏≰101211111≭⫏≰12220222))⪢(⫏≰12202022≭⫏≰20200020⊭↱(⫏≰1212220⊉≛↸⫏≰2201020))⪢(↯⪼⫏≰11222222)⪢⫏≰22120120⨟⋌⩍⫏≰20121011=NaN","reverse_text":"NaN=((⫏≰2121222⫸⊐⫏≰10120012)⩚⊴⇥(⫏≰1112002⩨⫏≰1111121)⊭↱(↽≂⫏≰101211111≭⫏≰12220222))⪢(⫏≰12202022≭⫏≰20200020⊭↱(⫏≰1212220⊉≛↸⫏≰2201020))⪢(↯⪼⫏≰11222222)⪢⫏≰22120120⨟⋌⩍⫏≰20121011","cot":[{"info":"⫏≰2121222⫸⊐⫏≰10120012=⫏≰112002010","layer":3},{"info":"⫏≰1112002⩨⫏≰1111121=⫏≰0","layer":3},{"info":"⫏≰112002010⩚⊴⇥⫏≰0=⫏≰-112020121","layer":2},{"info":"⫏≰101211111≭⫏≰12220222=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⫏≰-112020121⊭↱NaN=NaN","layer":1},{"info":"⫏≰12202022≭⫏≰20200020=NaN","layer":3},{"info":"⫏≰1212220⊉≛↸⫏≰2201020=⫏≰10202210","layer":3},{"info":"NaN⊭↱⫏≰10202210=NaN","layer":2},{"info":"↯⪼⫏≰11222222=⫏≰-210","layer":3},{"info":"⫏≰22120120⨟⋌⩍⫏≰20121011=NaN","layer":3},{"info":"⫏≰-210⪢NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"(≉$1180$)⨳⩥⨓($1834$-$6504$)⪒($7089$⪒$2273$)⋝⋈⪟$2226$⪮%⊝$8835$⪨≂(($2494$⪢$2820$)≹⇙⪍($2880$⩨$1407$)⊘)","expression":"(≉⫏≰1121201)⨳⩥⨓(⫏≰2111221-⫏≰22220220)⪒(⫏≰100201120⪒⫏≰10010012)⋝⋈⪟⫏≰10001110⪮%⊝⫏≰110010020⪨≂((⫏≰10102101⪢⫏≰10212110)≹⇙⪍(⫏≰10221200⩨⫏≰1221010)⊘)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2875,"operation_count":12,"complexity_ratio":239.58333333333334,"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":1180,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1834,"base":3},"right_expr":{"type":"numeric_atoms","value":6504,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7089,"base":3},"right_expr":{"type":"numeric_atoms","value":2273,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2226,"base":3},"right_expr":{"type":"numeric_atoms","value":8835,"base":3}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2494,"base":3},"right_expr":{"type":"numeric_atoms","value":2820,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2880,"base":3},"right_expr":{"type":"numeric_atoms","value":1407,"base":3}}}}},"used_operators":["sdazOOVcIp","f6k1SAg4EE","nCS4ZIUYfx","e1ybzncUwg","rysDP5nf3Z","2DDjHMKMc0","IWmyXbctLI","gu96TGCTMs","AHs5Up7iyr","dWAJyo7jo9","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1711","layer":3},{"info":"number node, value=1834","layer":4},{"info":"number node, value=6504","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=6504, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4670","layer":3},{"info":"compute binary expreesion, left_input=1711, right_input=-4670, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6381","layer":2},{"info":"number node, value=7089","layer":4},{"info":"number node, value=2273","layer":4},{"info":"compute binary expreesion, left_input=7089, right_input=2273, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9362","layer":3},{"info":"number node, value=2226","layer":4},{"info":"number node, value=8835","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=8835, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4768","layer":3},{"info":"compute binary expreesion, left_input=-9362, right_input=4768, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-9362","layer":2},{"info":"compute binary expreesion, left_input=-6381, right_input=-9362, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=15743","layer":1},{"info":"number node, value=2494","layer":4},{"info":"number node, value=2820","layer":4},{"info":"compute binary expreesion, left_input=2494, right_input=2820, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2880","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=2880, right_input=1407, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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=15743, 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":3,"result_base":3,"text":"(≉⫏≰1121201)⨳⩥⨓(⫏≰2111221-⫏≰22220220)⪒(⫏≰100201120⪒⫏≰10010012)⋝⋈⪟⫏≰10001110⪮%⊝⫏≰110010020⪨≂((⫏≰10102101⪢⫏≰10212110)≹⇙⪍(⫏≰10221200⩨⫏≰1221010)⊘)=NaN","reverse_text":"NaN=(≉⫏≰1121201)⨳⩥⨓(⫏≰2111221-⫏≰22220220)⪒(⫏≰100201120⪒⫏≰10010012)⋝⋈⪟⫏≰10001110⪮%⊝⫏≰110010020⪨≂((⫏≰10102101⪢⫏≰10212110)≹⇙⪍(⫏≰10221200⩨⫏≰1221010)⊘)","cot":[{"info":"≉⫏≰1121201=⫏≰2100101","layer":3},{"info":"⫏≰2111221-⫏≰22220220=⫏≰-20101222","layer":3},{"info":"⫏≰2100101⨳⩥⨓⫏≰-20101222=⫏≰-22202100","layer":2},{"info":"⫏≰100201120⪒⫏≰10010012=⫏≰-110211202","layer":3},{"info":"⫏≰10001110⪮%⊝⫏≰110010020=⫏≰20112121","layer":3},{"info":"⫏≰-110211202⋝⋈⪟⫏≰20112121=⫏≰-110211202","layer":2},{"info":"⫏≰-22202100⪒⫏≰-110211202=⫏≰210121002","layer":1},{"info":"⫏≰10102101⪢⫏≰10212110=NaN","layer":3},{"info":"⫏≰10221200⩨⫏≰1221010=⫏≰0","layer":3},{"info":"NaN≹⇙⪍⫏≰0=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⫏≰210121002⪨≂NaN=NaN","layer":0}]}
{"id":18,"expression_no_base_symbol":"(((↯⪼$3968$)⩨(⊄⩳↩$4306$))⫥∨⫟($1384$≧⫂∧$5926$)⊴($1368$⨎$1969$))⇷(⨞⊢((⪝⪂⫅$1377$)⩨$1148$⋳⪒$3010$))","expression":"(((↯⪼⫏≰12102222)⩨(⊄⩳↩⫏≰12220111))⫥∨⫟(⫏≰1220021≧⫂∧⫏≰22010111)⊴(⫏≰1212200⨎⫏≰2200221))⇷(⨞⊢((⪝⪂⫅⫏≰1220000)⩨⫏≰1120112⋳⪒⫏≰11010111))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14045,"operation_count":12,"complexity_ratio":1170.4166666666667,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3968,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4306,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1384,"base":3},"right_expr":{"type":"numeric_atoms","value":5926,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1368,"base":3},"right_expr":{"type":"numeric_atoms","value":1969,"base":3}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1377,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1148,"base":3},"right_expr":{"type":"numeric_atoms","value":3010,"base":3}}}}},"used_operators":["mp7IySMOzn","KYD54nUTWz","2DlMacCsIx","8jW3W4yZS5","8w2t5hMYqp","Nsiff2A1zJ","Ph9nP6C5qx","rJVOvQCfKK","xUOZtlo3hN","XTarYq4gQB","12rbrZMWeM"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3968","layer":4},{"info":"compute unary expreesion, input=3968, 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=4306","layer":4},{"info":"compute unary expreesion, input=4306, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12918","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-12918, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-1845","layer":2},{"info":"number node, value=1384","layer":4},{"info":"number node, value=5926","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=5926, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5453","layer":3},{"info":"number node, value=1368","layer":4},{"info":"number node, value=1969","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=1969, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1969","layer":3},{"info":"compute binary expreesion, left_input=5453, right_input=1969, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1845, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1377","layer":4},{"info":"compute unary expreesion, input=1377, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-202419","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=3010","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=3010, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1001","layer":3},{"info":"compute binary expreesion, left_input=-202419, right_input=-1001, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((↯⪼⫏≰12102222)⩨(⊄⩳↩⫏≰12220111))⫥∨⫟(⫏≰1220021≧⫂∧⫏≰22010111)⊴(⫏≰1212200⨎⫏≰2200221))⇷(⨞⊢((⪝⪂⫅⫏≰1220000)⩨⫏≰1120112⋳⪒⫏≰11010111))=NaN","reverse_text":"NaN=(((↯⪼⫏≰12102222)⩨(⊄⩳↩⫏≰12220111))⫥∨⫟(⫏≰1220021≧⫂∧⫏≰22010111)⊴(⫏≰1212200⨎⫏≰2200221))⇷(⨞⊢((⪝⪂⫅⫏≰1220000)⩨⫏≰1120112⋳⪒⫏≰11010111))","cot":[{"info":"↯⪼⫏≰12102222=⫏≰-210","layer":3},{"info":"⊄⩳↩⫏≰12220111=⫏≰-122201110","layer":3},{"info":"⫏≰-210⩨⫏≰-122201110=⫏≰-2112100","layer":2},{"info":"⫏≰1220021≧⫂∧⫏≰22010111=⫏≰21110222","layer":3},{"info":"⫏≰1212200⨎⫏≰2200221=⫏≰2200221","layer":3},{"info":"⫏≰21110222⊴⫏≰2200221=NaN","layer":2},{"info":"⫏≰-2112100⫥∨⫟NaN=NaN","layer":1},{"info":"⪝⪂⫅⫏≰1220000=⫏≰-101021200000","layer":3},{"info":"⫏≰1120112⋳⪒⫏≰11010111=⫏≰-1101002","layer":3},{"info":"⫏≰-101021200000⩨⫏≰-1101002=⫏≰0","layer":2},{"info":"⨞⊢⫏≰0=⫏≰-20110","layer":1},{"info":"NaN⇷⫏≰-20110=NaN","layer":0}]}
{"id":19,"expression_no_base_symbol":"(($2162$⫸⊐$7466$)⫥∨⫟$2065$≹⇙⪍$2837$)≹⇙⪍($2044$⨰$3650$⊘)⋝⋈⪟((($1228$≫≃)∲⫓$2479$↬$2238$)⫥∨⫟$1190$≧⫂∧$3708$⋝⋈⪟($2872$⊉≛↸$3185$))","expression":"((⫏≰2222002⫸⊐⫏≰101020112)⫥∨⫟⫏≰2211111≹⇙⪍⫏≰10220002)≹⇙⪍(⫏≰2210201⨰⫏≰12000012⊘)⋝⋈⪟(((⫏≰1200111≫≃)∲⫓⫏≰10101211↬⫏≰10001220)⫥∨⫟⫏≰1122002≧⫂∧⫏≰12002100⋝⋈⪟(⫏≰10221101⊉≛↸⫏≰11100222))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":380,"operation_count":14,"complexity_ratio":27.142857142857142,"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":2162,"base":3},"right_expr":{"type":"numeric_atoms","value":7466,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2065,"base":3},"right_expr":{"type":"numeric_atoms","value":2837,"base":3}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2044,"base":3},"right_expr":{"type":"numeric_atoms","value":3650,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1228,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2479,"base":3},"right_expr":{"type":"numeric_atoms","value":2238,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1190,"base":3},"right_expr":{"type":"numeric_atoms","value":3708,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2872,"base":3},"right_expr":{"type":"numeric_atoms","value":3185,"base":3}}}}},"used_operators":["2DDjHMKMc0","AHs5Up7iyr","KYD54nUTWz","mqXw5SEYmG","gu96TGCTMs","eewbuw0ToL","i8ToyICDmI","X99M06cbEe","B5M0gjZbta","Ph9nP6C5qx","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2162","layer":4},{"info":"number node, value=7466","layer":4},{"info":"compute binary expreesion, left_input=2162, right_input=7466, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=29739","layer":3},{"info":"number node, value=2065","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=2837, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=29739, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2044","layer":4},{"info":"number node, value=3650","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=3650, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1596","layer":3},{"info":"compute unary expreesion, input=-1596, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1228","layer":4},{"info":"compute unary expreesion, input=1228, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3857","layer":3},{"info":"number node, value=2479","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=2479, right_input=2238, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3857, 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=1190","layer":4},{"info":"number node, value=3708","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=3708, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3235","layer":3},{"info":"number node, value=2872","layer":4},{"info":"number node, value=3185","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=3185, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5744","layer":3},{"info":"compute binary expreesion, left_input=3235, right_input=5744, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3235","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3235, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2222002⫸⊐⫏≰101020112)⫥∨⫟⫏≰2211111≹⇙⪍⫏≰10220002)≹⇙⪍(⫏≰2210201⨰⫏≰12000012⊘)⋝⋈⪟(((⫏≰1200111≫≃)∲⫓⫏≰10101211↬⫏≰10001220)⫥∨⫟⫏≰1122002≧⫂∧⫏≰12002100⋝⋈⪟(⫏≰10221101⊉≛↸⫏≰11100222))=NaN","reverse_text":"NaN=((⫏≰2222002⫸⊐⫏≰101020112)⫥∨⫟⫏≰2211111≹⇙⪍⫏≰10220002)≹⇙⪍(⫏≰2210201⨰⫏≰12000012⊘)⋝⋈⪟(((⫏≰1200111≫≃)∲⫓⫏≰10101211↬⫏≰10001220)⫥∨⫟⫏≰1122002≧⫂∧⫏≰12002100⋝⋈⪟(⫏≰10221101⊉≛↸⫏≰11100222))","cot":[{"info":"⫏≰2222002⫸⊐⫏≰101020112=⫏≰1111210110","layer":3},{"info":"⫏≰2211111≹⇙⪍⫏≰10220002=NaN","layer":3},{"info":"⫏≰1111210110⫥∨⫟NaN=NaN","layer":2},{"info":"⫏≰2210201⨰⫏≰12000012=⫏≰-2012010","layer":3},{"info":"⫏≰-2012010⊘=⫏≰-1","layer":2},{"info":"NaN≹⇙⪍⫏≰-1=NaN","layer":1},{"info":"⫏≰1200111≫≃=⫏≰12021212","layer":3},{"info":"⫏≰10101211↬⫏≰10001220=NaN","layer":3},{"info":"⫏≰12021212∲⫓NaN=NaN","layer":2},{"info":"⫏≰1122002≧⫂∧⫏≰12002100=⫏≰11102211","layer":3},{"info":"⫏≰10221101⊉≛↸⫏≰11100222=⫏≰21212202","layer":3},{"info":"⫏≰11102211⋝⋈⪟⫏≰21212202=⫏≰11102211","layer":2},{"info":"NaN⫥∨⫟⫏≰11102211=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":20,"expression_no_base_symbol":"($1258$∲⫓$7112$)⪢($3440$≭$1621$)⪘⫢($4488$⨳⩥⨓$1373$∲⫓$1264$∑⇟⊟$1726$)+(($3442$⫸⊐$1140$)↺$4653$⨟⋌⩍$4748$)⋳⪒((↣≠⋷$1682$)↛⩡⫤)","expression":"(⫏≰1201121∲⫓⫏≰100202102)⪢(⫏≰11201102≭⫏≰2020001)⪘⫢(⫏≰20011020⨳⩥⨓⫏≰1212212∲⫓⫏≰1201211∑⇟⊟⫏≰2100221)+((⫏≰11201111⫸⊐⫏≰1120020)↺⫏≰20101100⨟⋌⩍⫏≰20111212)⋳⪒((↣≠⋷⫏≰2022022)↛⩡⫤)","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":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1258,"base":3},"right_expr":{"type":"numeric_atoms","value":7112,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3440,"base":3},"right_expr":{"type":"numeric_atoms","value":1621,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4488,"base":3},"right_expr":{"type":"numeric_atoms","value":1373,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1264,"base":3},"right_expr":{"type":"numeric_atoms","value":1726,"base":3}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3442,"base":3},"right_expr":{"type":"numeric_atoms","value":1140,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4653,"base":3},"right_expr":{"type":"numeric_atoms","value":4748,"base":3}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1682,"base":3}}}}},"used_operators":["W4YGzv6Whe","oacrs7FA3X","dWAJyo7jo9","i8ToyICDmI","rxpJgHHUmx","nCS4ZIUYfx","U7g4x0WXJJ","12rbrZMWeM","7j4O788W3g","mqXw5SEYmG","rGHVDoGpnC","FU0Cs4j7VP","Asc51vEJeQ"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1258","layer":4},{"info":"number node, value=7112","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=7112, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3440","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=3440, right_input=1621, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4488","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=4488, right_input=1373, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3115","layer":3},{"info":"number node, value=1264","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=1726, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3115, 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 = 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=3442","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=3442, right_input=1140, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4435","layer":3},{"info":"number node, value=4653","layer":4},{"info":"number node, value=4748","layer":4},{"info":"compute binary expreesion, left_input=4653, right_input=4748, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=4435, 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=1682","layer":4},{"info":"compute unary expreesion, input=1682, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/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=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=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1201121∲⫓⫏≰100202102)⪢(⫏≰11201102≭⫏≰2020001)⪘⫢(⫏≰20011020⨳⩥⨓⫏≰1212212∲⫓⫏≰1201211∑⇟⊟⫏≰2100221)+((⫏≰11201111⫸⊐⫏≰1120020)↺⫏≰20101100⨟⋌⩍⫏≰20111212)⋳⪒((↣≠⋷⫏≰2022022)↛⩡⫤)=NaN","reverse_text":"NaN=(⫏≰1201121∲⫓⫏≰100202102)⪢(⫏≰11201102≭⫏≰2020001)⪘⫢(⫏≰20011020⨳⩥⨓⫏≰1212212∲⫓⫏≰1201211∑⇟⊟⫏≰2100221)+((⫏≰11201111⫸⊐⫏≰1120020)↺⫏≰20101100⨟⋌⩍⫏≰20111212)⋳⪒((↣≠⋷⫏≰2022022)↛⩡⫤)","cot":[{"info":"⫏≰1201121∲⫓⫏≰100202102=⫏≰0","layer":3},{"info":"⫏≰11201102≭⫏≰2020001=NaN","layer":3},{"info":"⫏≰0⪢NaN=NaN","layer":2},{"info":"⫏≰20011020⨳⩥⨓⫏≰1212212=⫏≰-11021101","layer":3},{"info":"⫏≰1201211∑⇟⊟⫏≰2100221=NaN","layer":3},{"info":"⫏≰-11021101∲⫓NaN=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"⫏≰11201111⫸⊐⫏≰1120020=⫏≰20002021","layer":3},{"info":"⫏≰20101100⨟⋌⩍⫏≰20111212=NaN","layer":3},{"info":"⫏≰20002021↺NaN=NaN","layer":2},{"info":"↣≠⋷⫏≰2022022=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":21,"expression_no_base_symbol":"(($3048$⫡⨏$3300$)⨐⩸⫘($8441$⪠⩆⊳)⫡⨏($3734$⊪)≭(⪲⇎$1071$))∸","expression":"((⫏≰11011220⫡⨏⫏≰11112020)⨐⩸⫘(⫏≰102120122⪠⩆⊳)⫡⨏(⫏≰12010022⊪)≭(⪲⇎⫏≰1110200))∸","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":234,"operation_count":8,"complexity_ratio":29.25,"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":3048,"base":3},"right_expr":{"type":"numeric_atoms","value":3300,"base":3}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":8441,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3734,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1071,"base":3}}}}},"used_operators":["o20kRiQErp","QMFrweE19q","fu6greOZ01","JLbD19bQDL","rxpJgHHUmx","zVYPLywUTj","XPYlsWDdGa"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3048","layer":4},{"info":"number node, value=3300","layer":4},{"info":"compute binary expreesion, left_input=3048, right_input=3300, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22623","layer":3},{"info":"number node, value=8441","layer":4},{"info":"compute unary expreesion, input=8441, 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=22623, 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=22623","layer":2},{"info":"number node, value=3734","layer":4},{"info":"compute unary expreesion, input=3734, 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=1071","layer":4},{"info":"compute unary expreesion, input=1071, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2142","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2142, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=22623, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11011220⫡⨏⫏≰11112020)⨐⩸⫘(⫏≰102120122⪠⩆⊳)⫡⨏(⫏≰12010022⊪)≭(⪲⇎⫏≰1110200))∸=⫏≰20120","reverse_text":"⫏≰20120=((⫏≰11011220⫡⨏⫏≰11112020)⨐⩸⫘(⫏≰102120122⪠⩆⊳)⫡⨏(⫏≰12010022⊪)≭(⪲⇎⫏≰1110200))∸","cot":[{"info":"⫏≰11011220⫡⨏⫏≰11112020=⫏≰1011000220","layer":3},{"info":"⫏≰102120122⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰1011000220⨐⩸⫘⫏≰0=⫏≰1011000220","layer":2},{"info":"⫏≰12010022⊪=⫏≰0","layer":3},{"info":"⪲⇎⫏≰1110200=⫏≰2221100","layer":3},{"info":"⫏≰0≭⫏≰2221100=NaN","layer":2},{"info":"⫏≰1011000220⫡⨏NaN=NaN","layer":1},{"info":"NaN∸=⫏≰20120","layer":0}]}
{"id":22,"expression_no_base_symbol":"⊥(⨈⫕((∂$1010$)⪨≂($5091$⫌⩹⨱)))","expression":"⊥(⨈⫕((∂⫏≰1101102)⪨≂(⫏≰20222120⫌⩹⨱)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":966,"operation_count":5,"complexity_ratio":193.2,"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":1010,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5091,"base":3}}}}},"used_operators":["Q3PJZHRvZv","megm06wKyl","sdazOOVcIp","Uaa54Peajs","EBcxylXtPf"],"dependent_operators":["fu6greOZ01","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, 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=5091","layer":4},{"info":"compute unary expreesion, input=5091, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11583","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11583, op_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 = 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=24","layer":0}],"base":3,"result_base":3,"text":"⊥(⨈⫕((∂⫏≰1101102)⪨≂(⫏≰20222120⫌⩹⨱)))=⫏≰220","reverse_text":"⫏≰220=⊥(⨈⫕((∂⫏≰1101102)⪨≂(⫏≰20222120⫌⩹⨱)))","cot":[{"info":"∂⫏≰1101102=NaN","layer":3},{"info":"⫏≰20222120⫌⩹⨱=⫏≰120220000","layer":3},{"info":"NaN⪨≂⫏≰120220000=NaN","layer":2},{"info":"⨈⫕NaN=⫏≰-210","layer":1},{"info":"⊥⫏≰-210=⫏≰220","layer":0}]}
{"id":23,"expression_no_base_symbol":"(($2483$≫≃)⋳⪒($6877$⪄$1024$)⨎((⫓⪴$3653$)⊭∹↮))⨟⋌⩍(⩦⩻⨪($1666$-$1974$)⨽(∥⊫$1858$))","expression":"((⫏≰10101222≫≃)⋳⪒(⫏≰100102201⪄⫏≰1101221)⨎((⫓⪴⫏≰12000022)⊭∹↮))⨟⋌⩍(⩦⩻⨪(⫏≰2021201-⫏≰2201010)⨽(∥⊫⫏≰2112211))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4095,"operation_count":11,"complexity_ratio":372.27272727272725,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2483,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6877,"base":3},"right_expr":{"type":"numeric_atoms","value":1024,"base":3}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3653,"base":3}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1666,"base":3},"right_expr":{"type":"numeric_atoms","value":1974,"base":3}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1858,"base":3}}}}},"used_operators":["rGHVDoGpnC","rJVOvQCfKK","12rbrZMWeM","X99M06cbEe","SUmda5xLS4","xNBdhnnwKq","eLxqMNBOBk","2td37pGCOC","8HhzD0ZcuI","rysDP5nf3Z","P8v4zCKN1o"],"dependent_operators":["Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2483","layer":4},{"info":"compute unary expreesion, input=2483, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6367","layer":3},{"info":"number node, value=6877","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=6877, right_input=1024, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1017981","layer":3},{"info":"compute binary expreesion, left_input=6367, right_input=-1017981, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1030428","layer":2},{"info":"number node, value=3653","layer":4},{"info":"compute unary expreesion, input=3653, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=13344409","layer":3},{"info":"compute unary expreesion, input=13344409, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=26688818","layer":2},{"info":"compute binary expreesion, left_input=1030428, right_input=26688818, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=26688818","layer":1},{"info":"number node, value=1666","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=1666, right_input=1974, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-308","layer":3},{"info":"number node, value=1858","layer":4},{"info":"compute unary expreesion, input=1858, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2726","layer":3},{"info":"compute binary expreesion, left_input=-308, right_input=2726, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-291456","layer":2},{"info":"compute unary expreesion, input=-291456, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-291456","layer":1},{"info":"compute binary expreesion, left_input=26688818, right_input=-291456, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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":3,"result_base":3,"text":"((⫏≰10101222≫≃)⋳⪒(⫏≰100102201⪄⫏≰1101221)⨎((⫓⪴⫏≰12000022)⊭∹↮))⨟⋌⩍(⩦⩻⨪(⫏≰2021201-⫏≰2201010)⨽(∥⊫⫏≰2112211))=NaN","reverse_text":"NaN=((⫏≰10101222≫≃)⋳⪒(⫏≰100102201⪄⫏≰1101221)⨎((⫓⪴⫏≰12000022)⊭∹↮))⨟⋌⩍(⩦⩻⨪(⫏≰2021201-⫏≰2201010)⨽(∥⊫⫏≰2112211))","cot":[{"info":"⫏≰10101222≫≃=⫏≰22201211","layer":3},{"info":"⫏≰100102201⪄⫏≰1101221=⫏≰-1220201102000","layer":3},{"info":"⫏≰22201211⋳⪒⫏≰-1220201102000=⫏≰1221100111000","layer":2},{"info":"⫓⪴⫏≰12000022=⫏≰221002222002101","layer":3},{"info":"⫏≰221002222002101⊭∹↮=⫏≰1212012221011202","layer":2},{"info":"⫏≰1221100111000⨎⫏≰1212012221011202=⫏≰1212012221011202","layer":1},{"info":"⫏≰2021201-⫏≰2201010=⫏≰-102102","layer":3},{"info":"∥⊫⫏≰2112211=⫏≰10201222","layer":3},{"info":"⫏≰-102102⨽⫏≰10201222=⫏≰-112210210200","layer":2},{"info":"⩦⩻⨪⫏≰-112210210200=⫏≰-112210210200","layer":1},{"info":"⫏≰1212012221011202⨟⋌⩍⫏≰-112210210200=NaN","layer":0}]}
{"id":24,"expression_no_base_symbol":"⫓⪴(($1045$≎⊠⪸$1352$-$2363$⨳⩥⨓$4691$)≭(⫓⪴$2479$⪘⫢$2813$))","expression":"⫓⪴((⫏≰1102201≎⊠⪸⫏≰1212002-⫏≰10020112⨳⩥⨓⫏≰20102202)≭(⫓⪴⫏≰10101211⪘⫢⫏≰10212012))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5125,"operation_count":7,"complexity_ratio":732.1428571428571,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1045,"base":3},"right_expr":{"type":"numeric_atoms","value":1352,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2363,"base":3},"right_expr":{"type":"numeric_atoms","value":4691,"base":3}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2479,"base":3},"right_expr":{"type":"numeric_atoms","value":2813,"base":3}}}}},"used_operators":["eLxqMNBOBk","rxpJgHHUmx","rysDP5nf3Z","bJkvcejdHO","nCS4ZIUYfx","oacrs7FA3X"],"dependent_operators":["9HNa5Wba9A","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1352, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=270182","layer":3},{"info":"number node, value=2363","layer":4},{"info":"number node, value=4691","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=4691, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2328","layer":3},{"info":"compute binary expreesion, left_input=270182, right_input=2328, op_id = rysDP5nf3Z binary_op_definition= 'None', output=267854","layer":2},{"info":"number node, value=2479","layer":4},{"info":"number node, value=2813","layer":4},{"info":"compute binary expreesion, left_input=2479, right_input=2813, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4834","layer":3},{"info":"compute unary expreesion, input=4834, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=23367556","layer":2},{"info":"compute binary expreesion, left_input=267854, right_input=23367556, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫓⪴((⫏≰1102201≎⊠⪸⫏≰1212002-⫏≰10020112⨳⩥⨓⫏≰20102202)≭(⫓⪴⫏≰10101211⪘⫢⫏≰10212012))=NaN","reverse_text":"NaN=⫓⪴((⫏≰1102201≎⊠⪸⫏≰1212002-⫏≰10020112⨳⩥⨓⫏≰20102202)≭(⫓⪴⫏≰10101211⪘⫢⫏≰10212012))","cot":[{"info":"⫏≰1102201≎⊠⪸⫏≰1212002=⫏≰111201121202","layer":3},{"info":"⫏≰10020112⨳⩥⨓⫏≰20102202=⫏≰10012020","layer":3},{"info":"⫏≰111201121202-⫏≰10012020=⫏≰111121102112","layer":2},{"info":"⫏≰10101211⪘⫢⫏≰10212012=⫏≰20122001","layer":3},{"info":"⫓⪴⫏≰20122001=⫏≰1121222012021001","layer":2},{"info":"⫏≰111121102112≭⫏≰1121222012021001=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":25,"expression_no_base_symbol":"(⋗⩬⋾$4170$⨰$1181$⨐⩸⫘$2457$⨎$1805$)⩚⊴⇥(⨰⫟⨤((⫓⪴$3324$)⩷∴(⨞⊢$6650$)))","expression":"(⋗⩬⋾⫏≰12201110⨰⫏≰1121202⨐⩸⫘⫏≰10101000⨎⫏≰2110212)⩚⊴⇥(⨰⫟⨤((⫓⪴⫏≰11120010)⩷∴(⨞⊢⫏≰100010022)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":44225644,"operation_count":9,"complexity_ratio":4913960.444444444,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4170,"base":3},"right_expr":{"type":"numeric_atoms","value":1181,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2457,"base":3},"right_expr":{"type":"numeric_atoms","value":1805,"base":3}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3324,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6650,"base":3}}}}},"used_operators":["NTOWxs364D","DpFCA1CohY","fu6greOZ01","eewbuw0ToL","rJVOvQCfKK","Tw270M8GLb","9FxExcQeMw","eLxqMNBOBk","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4170","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=4170, right_input=1181, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2999","layer":3},{"info":"number node, value=2457","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=2457, right_input=1805, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1805","layer":3},{"info":"compute binary expreesion, left_input=2999, right_input=1805, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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=3324","layer":4},{"info":"compute unary expreesion, input=3324, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11048976","layer":3},{"info":"number node, value=6650","layer":4},{"info":"compute unary expreesion, input=6650, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6824","layer":3},{"info":"compute binary expreesion, left_input=11048976, right_input=-6824, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=22111568","layer":2},{"info":"compute unary expreesion, input=22111568, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⋗⩬⋾⫏≰12201110⨰⫏≰1121202⨐⩸⫘⫏≰10101000⨎⫏≰2110212)⩚⊴⇥(⨰⫟⨤((⫓⪴⫏≰11120010)⩷∴(⨞⊢⫏≰100010022)))=NaN","reverse_text":"NaN=(⋗⩬⋾⫏≰12201110⨰⫏≰1121202⨐⩸⫘⫏≰10101000⨎⫏≰2110212)⩚⊴⇥(⨰⫟⨤((⫓⪴⫏≰11120010)⩷∴(⨞⊢⫏≰100010022)))","cot":[{"info":"⫏≰12201110⨰⫏≰1121202=⫏≰11010002","layer":3},{"info":"⫏≰10101000⨎⫏≰2110212=⫏≰2110212","layer":3},{"info":"⫏≰11010002⨐⩸⫘⫏≰2110212=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⫓⪴⫏≰11120010=⫏≰202210100100100","layer":3},{"info":"⨞⊢⫏≰100010022=⫏≰-100100202","layer":3},{"info":"⫏≰202210100100100⩷∴⫏≰-100100202=⫏≰1112121101100222","layer":2},{"info":"⨰⫟⨤⫏≰1112121101100222=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":26,"expression_no_base_symbol":"((⫓⪴($5898$⨎$1399$))+($6672$⨳⩥⨓$7581$)≧⫂∧(↣≠⋷$2589$))⋫","expression":"((⫓⪴(⫏≰22002110⨎⫏≰1220211))+(⫏≰100011010⨳⩥⨓⫏≰101101210)≧⫂∧(↣≠⋷⫏≰10112220))⋫","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1409,"operation_count":7,"complexity_ratio":201.28571428571428,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5898,"base":3},"right_expr":{"type":"numeric_atoms","value":1399,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6672,"base":3},"right_expr":{"type":"numeric_atoms","value":7581,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2589,"base":3}}}}},"used_operators":["JL8yIekQnl","W4YGzv6Whe","eLxqMNBOBk","rJVOvQCfKK","Ph9nP6C5qx","nCS4ZIUYfx","Asc51vEJeQ"],"dependent_operators":["tmPS8pqC7x","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5898","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=5898, right_input=1399, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1399","layer":3},{"info":"compute unary expreesion, input=1399, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1957201","layer":2},{"info":"number node, value=6672","layer":4},{"info":"number node, value=7581","layer":4},{"info":"compute binary expreesion, left_input=6672, right_input=7581, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=909","layer":3},{"info":"number node, value=2589","layer":4},{"info":"compute unary expreesion, input=2589, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=909, 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=1957201, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫓⪴(⫏≰22002110⨎⫏≰1220211))+(⫏≰100011010⨳⩥⨓⫏≰101101210)≧⫂∧(↣≠⋷⫏≰10112220))⋫=NaN","reverse_text":"NaN=((⫓⪴(⫏≰22002110⨎⫏≰1220211))+(⫏≰100011010⨳⩥⨓⫏≰101101210)≧⫂∧(↣≠⋷⫏≰10112220))⋫","cot":[{"info":"⫏≰22002110⨎⫏≰1220211=⫏≰1220211","layer":3},{"info":"⫓⪴⫏≰1220211=⫏≰10200102202221","layer":2},{"info":"⫏≰100011010⨳⩥⨓⫏≰101101210=⫏≰1020200","layer":3},{"info":"↣≠⋷⫏≰10112220=NaN","layer":3},{"info":"⫏≰1020200≧⫂∧NaN=NaN","layer":2},{"info":"⫏≰10200102202221+NaN=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":27,"expression_no_base_symbol":"↩((∂($3048$⨳⩥⨓$2850$))+$1773$⨟⋌⩍$5008$⨰($2309$↙$3664$))","expression":"↩((∂(⫏≰11011220⨳⩥⨓⫏≰10220120))+⫏≰2102200⨟⋌⩍⫏≰20212111⨰(⫏≰10011112↙⫏≰12000201))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4114,"operation_count":7,"complexity_ratio":587.7142857142857,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3048,"base":3},"right_expr":{"type":"numeric_atoms","value":2850,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1773,"base":3},"right_expr":{"type":"numeric_atoms","value":5008,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2309,"base":3},"right_expr":{"type":"numeric_atoms","value":3664,"base":3}}}}},"used_operators":["jLgFTUHLKL","W4YGzv6Whe","Uaa54Peajs","nCS4ZIUYfx","eewbuw0ToL","rGHVDoGpnC","yyfyN0ffXY"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3048","layer":4},{"info":"number node, value=2850","layer":4},{"info":"compute binary expreesion, left_input=3048, right_input=2850, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-198","layer":3},{"info":"compute unary expreesion, input=-198, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-66","layer":2},{"info":"number node, value=1773","layer":4},{"info":"number node, value=5008","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=5008, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=2309","layer":4},{"info":"number node, value=3664","layer":4},{"info":"compute binary expreesion, left_input=2309, right_input=3664, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10992","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10992, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-66, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":3,"result_base":3,"text":"↩((∂(⫏≰11011220⨳⩥⨓⫏≰10220120))+⫏≰2102200⨟⋌⩍⫏≰20212111⨰(⫏≰10011112↙⫏≰12000201))=NaN","reverse_text":"NaN=↩((∂(⫏≰11011220⨳⩥⨓⫏≰10220120))+⫏≰2102200⨟⋌⩍⫏≰20212111⨰(⫏≰10011112↙⫏≰12000201))","cot":[{"info":"⫏≰11011220⨳⩥⨓⫏≰10220120=⫏≰-21100","layer":3},{"info":"∂⫏≰-21100=⫏≰-2110","layer":2},{"info":"⫏≰2102200⨟⋌⩍⫏≰20212111=NaN","layer":3},{"info":"⫏≰10011112↙⫏≰12000201=⫏≰-120002010","layer":3},{"info":"NaN⨰⫏≰-120002010=NaN","layer":2},{"info":"⫏≰-2110+NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":28,"expression_no_base_symbol":"((($6827$⇼⇔∾$4751$)⫩⊇)⇋≉)⫸⊐($1454$⩷∴$2516$∲⫓(↯⪼$3899$))⪮%⊝($1562$-$2479$⨵⪆$4603$⩷∴$2806$)","expression":"(((⫏≰100100212⇼⇔∾⫏≰20111222)⫩⊇)⇋≉)⫸⊐(⫏≰1222212⩷∴⫏≰10110012∲⫓(↯⪼⫏≰12100102))⪮%⊝(⫏≰2010212-⫏≰10101211⨵⪆⫏≰20022111⩷∴⫏≰10211221)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":84,"operation_count":11,"complexity_ratio":7.636363636363637,"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":6827,"base":3},"right_expr":{"type":"numeric_atoms","value":4751,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1454,"base":3},"right_expr":{"type":"numeric_atoms","value":2516,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3899,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1562,"base":3},"right_expr":{"type":"numeric_atoms","value":2479,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4603,"base":3},"right_expr":{"type":"numeric_atoms","value":2806,"base":3}}}}},"used_operators":["mqXw5SEYmG","XIabStNQrY","BjRHVeLaeN","tifHPKVTfV","IWmyXbctLI","i8ToyICDmI","9FxExcQeMw","8jW3W4yZS5","2DQ55sFlQl","rysDP5nf3Z"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-102010210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6827","layer":4},{"info":"number node, value=4751","layer":4},{"info":"compute binary expreesion, left_input=6827, right_input=4751, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2076","layer":3},{"info":"compute unary expreesion, input=-2076, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2118","layer":2},{"info":"compute unary expreesion, input=2118, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4138","layer":1},{"info":"number node, value=1454","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=2516, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2156","layer":3},{"info":"number node, value=3899","layer":4},{"info":"compute unary expreesion, input=3899, 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=-2156, right_input=-21, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-2156","layer":2},{"info":"number node, value=1562","layer":4},{"info":"number node, value=2479","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=2479, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-917","layer":3},{"info":"number node, value=4603","layer":4},{"info":"number node, value=2806","layer":4},{"info":"compute binary expreesion, left_input=4603, right_input=2806, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3562","layer":3},{"info":"compute binary expreesion, left_input=-917, right_input=3562, 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=-2156, right_input=160, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-3996","layer":1},{"info":"compute binary expreesion, left_input=4138, right_input=-3996, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-8121","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰100100212⇼⇔∾⫏≰20111222)⫩⊇)⇋≉)⫸⊐(⫏≰1222212⩷∴⫏≰10110012∲⫓(↯⪼⫏≰12100102))⪮%⊝(⫏≰2010212-⫏≰10101211⨵⪆⫏≰20022111⩷∴⫏≰10211221)=⫏≰-102010210","reverse_text":"⫏≰-102010210=(((⫏≰100100212⇼⇔∾⫏≰20111222)⫩⊇)⇋≉)⫸⊐(⫏≰1222212⩷∴⫏≰10110012∲⫓(↯⪼⫏≰12100102))⪮%⊝(⫏≰2010212-⫏≰10101211⨵⪆⫏≰20022111⩷∴⫏≰10211221)","cot":[{"info":"⫏≰100100212⇼⇔∾⫏≰20111222=⫏≰-2211220","layer":3},{"info":"⫏≰-2211220⫩⊇=⫏≰2220110","layer":2},{"info":"⫏≰2220110⇋≉=⫏≰12200021","layer":1},{"info":"⫏≰1222212⩷∴⫏≰10110012=⫏≰-2221212","layer":3},{"info":"↯⪼⫏≰12100102=⫏≰-210","layer":3},{"info":"⫏≰-2221212∲⫓⫏≰-210=⫏≰-2221212","layer":2},{"info":"⫏≰2010212-⫏≰10101211=⫏≰-1020222","layer":3},{"info":"⫏≰20022111⩷∴⫏≰10211221=⫏≰11212221","layer":3},{"info":"⫏≰-1020222⨵⪆⫏≰11212221=⫏≰12221","layer":2},{"info":"⫏≰-2221212⪮%⊝⫏≰12221=⫏≰-12111000","layer":1},{"info":"⫏≰12200021⫸⊐⫏≰-12111000=⫏≰-102010210","layer":0}]}
{"id":29,"expression_no_base_symbol":"($4641$≎⊠⪸$1501$↺$2702$∑⇟⊟$1826$)∑⇟⊟((∂$7655$)⨽$2516$⩷∴$4006$)⫥∨⫟(⩦⩻⨪(($2826$-$1449$)∲⫓(⊥$3870$)))","expression":"(⫏≰20100220≎⊠⪸⫏≰2001121↺⫏≰10201002∑⇟⊟⫏≰2111122)∑⇟⊟((∂⫏≰101111112)⨽⫏≰10110012⩷∴⫏≰12111101)⫥∨⫟(⩦⩻⨪((⫏≰10212200-⫏≰1222200)∲⫓(⊥⫏≰12022100)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":452,"operation_count":12,"complexity_ratio":37.666666666666664,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4641,"base":3},"right_expr":{"type":"numeric_atoms","value":1501,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2702,"base":3},"right_expr":{"type":"numeric_atoms","value":1826,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":7655,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2516,"base":3},"right_expr":{"type":"numeric_atoms","value":4006,"base":3}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2826,"base":3},"right_expr":{"type":"numeric_atoms","value":1449,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3870,"base":3}}}}},"used_operators":["KYD54nUTWz","U7g4x0WXJJ","7j4O788W3g","bJkvcejdHO","8HhzD0ZcuI","Uaa54Peajs","9FxExcQeMw","2td37pGCOC","i8ToyICDmI","rysDP5nf3Z","Q3PJZHRvZv"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4641","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=4641, right_input=1501, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1201546","layer":3},{"info":"number node, value=2702","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=1826, 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=1201546, 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=7655","layer":4},{"info":"compute unary expreesion, input=7655, 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=2516","layer":4},{"info":"number node, value=4006","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=4006, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3012","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3012, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2826","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=2826, right_input=1449, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1377","layer":3},{"info":"number node, value=3870","layer":4},{"info":"compute unary expreesion, input=3870, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1377, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20100220≎⊠⪸⫏≰2001121↺⫏≰10201002∑⇟⊟⫏≰2111122)∑⇟⊟((∂⫏≰101111112)⨽⫏≰10110012⩷∴⫏≰12111101)⫥∨⫟(⩦⩻⨪((⫏≰10212200-⫏≰1222200)∲⫓(⊥⫏≰12022100)))=NaN","reverse_text":"NaN=(⫏≰20100220≎⊠⪸⫏≰2001121↺⫏≰10201002∑⇟⊟⫏≰2111122)∑⇟⊟((∂⫏≰101111112)⨽⫏≰10110012⩷∴⫏≰12111101)⫥∨⫟(⩦⩻⨪((⫏≰10212200-⫏≰1222200)∲⫓(⊥⫏≰12022100)))","cot":[{"info":"⫏≰20100220≎⊠⪸⫏≰2001121=⫏≰2021001012201","layer":3},{"info":"⫏≰10201002∑⇟⊟⫏≰2111122=NaN","layer":3},{"info":"⫏≰2021001012201↺NaN=NaN","layer":2},{"info":"∂⫏≰101111112=NaN","layer":3},{"info":"⫏≰10110012⩷∴⫏≰12111101=⫏≰-11010120","layer":3},{"info":"NaN⨽⫏≰-11010120=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"⫏≰10212200-⫏≰1222200=⫏≰1220000","layer":3},{"info":"⊥⫏≰12022100=NaN","layer":3},{"info":"⫏≰1220000∲⫓NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":30,"expression_no_base_symbol":"(⇁⨣⪵($4833$⪄$1313$)+⇶⊼($3454$⊉≛↸$1902$))-($1258$↺$1188$)⨐⩸⫘$2031$⨟⋌⩍$1274$⇼⇔∾(⊥($1964$∼$1932$))","expression":"(⇁⨣⪵(⫏≰20122000⪄⫏≰1210122)+⇶⊼(⫏≰11201221⊉≛↸⫏≰2121110))-(⫏≰1201121↺⫏≰1122000)⨐⩸⫘⫏≰2210020⨟⋌⩍⫏≰1202012⇼⇔∾(⊥(⫏≰2200202∼⫏≰2122120))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":147,"operation_count":11,"complexity_ratio":13.363636363636363,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4833,"base":3},"right_expr":{"type":"numeric_atoms","value":1313,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3454,"base":3},"right_expr":{"type":"numeric_atoms","value":1902,"base":3}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1258,"base":3},"right_expr":{"type":"numeric_atoms","value":1188,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2031,"base":3},"right_expr":{"type":"numeric_atoms","value":1274,"base":3}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1964,"base":3},"right_expr":{"type":"numeric_atoms","value":1932,"base":3}}}}},"used_operators":["rysDP5nf3Z","inkyxCbjAn","TpPTUOHfaN","SUmda5xLS4","DZ8iAZOCBD","tifHPKVTfV","fu6greOZ01","7j4O788W3g","rGHVDoGpnC","Q3PJZHRvZv","DyGG3AbaNP"],"dependent_operators":["B5M0gjZbta","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","fu6greOZ01","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4833","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=4833, right_input=1313, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-716625","layer":3},{"info":"number node, value=3454","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=3454, right_input=1902, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6908","layer":3},{"info":"compute binary expreesion, left_input=-716625, right_input=6908, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1258","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=1188, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1188","layer":3},{"info":"number node, value=2031","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=1274, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1188, 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=1964","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=1932, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘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=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇁⨣⪵(⫏≰20122000⪄⫏≰1210122)+⇶⊼(⫏≰11201221⊉≛↸⫏≰2121110))-(⫏≰1201121↺⫏≰1122000)⨐⩸⫘⫏≰2210020⨟⋌⩍⫏≰1202012⇼⇔∾(⊥(⫏≰2200202∼⫏≰2122120))=NaN","reverse_text":"NaN=(⇁⨣⪵(⫏≰20122000⪄⫏≰1210122)+⇶⊼(⫏≰11201221⊉≛↸⫏≰2121110))-(⫏≰1201121↺⫏≰1122000)⨐⩸⫘⫏≰2210020⨟⋌⩍⫏≰1202012⇼⇔∾(⊥(⫏≰2200202∼⫏≰2122120))","cot":[{"info":"⫏≰20122000⪄⫏≰1210122=⫏≰-1100102000200","layer":3},{"info":"⫏≰11201221⊉≛↸⫏≰2121110=⫏≰100110212","layer":3},{"info":"⫏≰-1100102000200+⇶⊼⫏≰100110212=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⫏≰1201121↺⫏≰1122000=⫏≰1122000","layer":3},{"info":"⫏≰2210020⨟⋌⩍⫏≰1202012=NaN","layer":3},{"info":"⫏≰1122000⨐⩸⫘NaN=NaN","layer":2},{"info":"⫏≰2200202∼⫏≰2122120=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":31,"expression_no_base_symbol":"(($9366$-$2940$)∑⇟⊟($1677$⊘)⪠⩆⊳)∑⇟⊟(⪝⪂⫅((⨰⫟⨤$2196$)⫸⊐(↽≂$4610$)))","expression":"((⫏≰110211220-⫏≰11000220)∑⇟⊟(⫏≰2022010⊘)⪠⩆⊳)∑⇟⊟(⪝⪂⫅((⨰⫟⨤⫏≰10000100)⫸⊐(↽≂⫏≰20022202)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7983,"operation_count":9,"complexity_ratio":887.0,"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":9366,"base":3},"right_expr":{"type":"numeric_atoms","value":2940,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1677,"base":3}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2196,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4610,"base":3}}}}},"used_operators":["U7g4x0WXJJ","JLbD19bQDL","rysDP5nf3Z","gu96TGCTMs","XTarYq4gQB","mqXw5SEYmG","Tw270M8GLb","u6S6b8DprG"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9366","layer":4},{"info":"number node, value=2940","layer":4},{"info":"compute binary expreesion, left_input=9366, right_input=2940, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6426","layer":3},{"info":"number node, value=1677","layer":4},{"info":"compute unary expreesion, input=1677, 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=6426, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=6426","layer":2},{"info":"compute unary expreesion, input=6426, 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=2196","layer":4},{"info":"compute unary expreesion, input=2196, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4610","layer":4},{"info":"compute unary expreesion, input=4610, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9220","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9220, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', 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":3,"result_base":3,"text":"((⫏≰110211220-⫏≰11000220)∑⇟⊟(⫏≰2022010⊘)⪠⩆⊳)∑⇟⊟(⪝⪂⫅((⨰⫟⨤⫏≰10000100)⫸⊐(↽≂⫏≰20022202)))=NaN","reverse_text":"NaN=((⫏≰110211220-⫏≰11000220)∑⇟⊟(⫏≰2022010⊘)⪠⩆⊳)∑⇟⊟(⪝⪂⫅((⨰⫟⨤⫏≰10000100)⫸⊐(↽≂⫏≰20022202)))","cot":[{"info":"⫏≰110211220-⫏≰11000220=⫏≰22211000","layer":3},{"info":"⫏≰2022010⊘=⫏≰0","layer":3},{"info":"⫏≰22211000∑⇟⊟⫏≰0=⫏≰22211000","layer":2},{"info":"⫏≰22211000⪠⩆⊳=⫏≰0","layer":1},{"info":"⨰⫟⨤⫏≰10000100=NaN","layer":3},{"info":"↽≂⫏≰20022202=⫏≰-110122111","layer":3},{"info":"NaN⫸⊐⫏≰-110122111=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⫏≰0∑⇟⊟NaN=NaN","layer":0}]}
{"id":32,"expression_no_base_symbol":"(($8211$⨸⪁$1836$)+⇶⊼$4552$∼$1650$)∀⇚≩($2645$∼$1242$≎⊠⪸(⫓⪴$4277$))≎⊠⪸(⇁⨣⪵($3237$*$5510$)⨳⩥⨓(≉$2071$))","expression":"((⫏≰102021010⨸⪁⫏≰2112000)+⇶⊼⫏≰20020121∼⫏≰2021010)∀⇚≩(⫏≰10121222∼⫏≰1201000≎⊠⪸(⫓⪴⫏≰12212102))≎⊠⪸(⇁⨣⪵(⫏≰11102220*⫏≰21120002)⨳⩥⨓(≉⫏≰2211201))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7692,"operation_count":12,"complexity_ratio":641.0,"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":8211,"base":3},"right_expr":{"type":"numeric_atoms","value":1836,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4552,"base":3},"right_expr":{"type":"numeric_atoms","value":1650,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2645,"base":3},"right_expr":{"type":"numeric_atoms","value":1242,"base":3}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4277,"base":3}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3237,"base":3},"right_expr":{"type":"numeric_atoms","value":5510,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2071,"base":3}}}}},"used_operators":["bJkvcejdHO","LRNGc0VcxI","TpPTUOHfaN","g55IO6H4Gj","DyGG3AbaNP","eLxqMNBOBk","inkyxCbjAn","nCS4ZIUYfx","9HNa5Wba9A","e1ybzncUwg"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","AHs5Up7iyr","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8211","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=8211, right_input=1836, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20094","layer":3},{"info":"number node, value=4552","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=4552, right_input=1650, 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=20094, 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=2645","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=2645, right_input=1242, 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=4277","layer":4},{"info":"compute unary expreesion, input=4277, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=18292729","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18292729, 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=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=3237","layer":4},{"info":"number node, value=5510","layer":4},{"info":"compute binary expreesion, left_input=3237, right_input=5510, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17835870","layer":3},{"info":"number node, value=2071","layer":4},{"info":"compute unary expreesion, input=2071, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2602","layer":3},{"info":"compute binary expreesion, left_input=17835870, right_input=2602, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-17833268","layer":2},{"info":"compute unary expreesion, input=-17833268, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"((⫏≰102021010⨸⪁⫏≰2112000)+⇶⊼⫏≰20020121∼⫏≰2021010)∀⇚≩(⫏≰10121222∼⫏≰1201000≎⊠⪸(⫓⪴⫏≰12212102))≎⊠⪸(⇁⨣⪵(⫏≰11102220*⫏≰21120002)⨳⩥⨓(≉⫏≰2211201))=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰102021010⨸⪁⫏≰2112000)+⇶⊼⫏≰20020121∼⫏≰2021010)∀⇚≩(⫏≰10121222∼⫏≰1201000≎⊠⪸(⫓⪴⫏≰12212102))≎⊠⪸(⇁⨣⪵(⫏≰11102220*⫏≰21120002)⨳⩥⨓(≉⫏≰2211201))","cot":[{"info":"⫏≰102021010⨸⪁⫏≰2112000=⫏≰1000120020","layer":3},{"info":"⫏≰20020121∼⫏≰2021010=NaN","layer":3},{"info":"⫏≰1000120020+⇶⊼NaN=NaN","layer":2},{"info":"⫏≰10121222∼⫏≰1201000=NaN","layer":3},{"info":"⫓⪴⫏≰12212102=⫏≰1021102100220111","layer":3},{"info":"NaN≎⊠⪸⫏≰1021102100220111=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"⫏≰11102220*⫏≰21120002=⫏≰1020120011012210","layer":3},{"info":"≉⫏≰2211201=⫏≰10120101","layer":3},{"info":"⫏≰1020120011012210⨳⩥⨓⫏≰10120101=⫏≰-1020120000122102","layer":2},{"info":"⇁⨣⪵⫏≰-1020120000122102=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⫏≰2111","layer":0}]}
{"id":33,"expression_no_base_symbol":"((↣≠⋷$3785$)⋓($9208$⋓$2245$))⪢(($1950$⪒$1363$)↙($1733$⊉≛↸$2297$))∲⫓(⊄⩳↩(⨵≀≌(⨑⩽⪐$1886$)))","expression":"((↣≠⋷⫏≰12012012)⋓(⫏≰110122001⋓⫏≰10002011))⪢((⫏≰2200020⪒⫏≰1212111)↙(⫏≰2101012⊉≛↸⫏≰10011002))∲⫓(⊄⩳↩(⨵≀≌(⨑⩽⪐⫏≰2120212)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4974,"operation_count":11,"complexity_ratio":452.1818181818182,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3785,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":9208,"base":3},"right_expr":{"type":"numeric_atoms","value":2245,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1950,"base":3},"right_expr":{"type":"numeric_atoms","value":1363,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1733,"base":3},"right_expr":{"type":"numeric_atoms","value":2297,"base":3}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1886,"base":3}}}}},"used_operators":["i8ToyICDmI","dWAJyo7jo9","T2fj7uvVaJ","Asc51vEJeQ","yyfyN0ffXY","f6k1SAg4EE","DZ8iAZOCBD","8w2t5hMYqp","srAu1WTS94","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3785","layer":4},{"info":"compute unary expreesion, input=3785, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=9208","layer":4},{"info":"number node, value=2245","layer":4},{"info":"compute binary expreesion, left_input=9208, right_input=2245, op_id = T2fj7uvVaJ 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 = T2fj7uvVaJ 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=1950","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=1950, right_input=1363, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3313","layer":3},{"info":"number node, value=1733","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=2297, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3466","layer":3},{"info":"compute binary expreesion, left_input=-3313, right_input=3466, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3313","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3313, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1886","layer":4},{"info":"compute unary expreesion, input=1886, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1613","layer":3},{"info":"compute unary expreesion, input=-1613, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=2601769","layer":2},{"info":"compute unary expreesion, input=2601769, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7805307","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7805307, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↣≠⋷⫏≰12012012)⋓(⫏≰110122001⋓⫏≰10002011))⪢((⫏≰2200020⪒⫏≰1212111)↙(⫏≰2101012⊉≛↸⫏≰10011002))∲⫓(⊄⩳↩(⨵≀≌(⨑⩽⪐⫏≰2120212)))=NaN","reverse_text":"NaN=((↣≠⋷⫏≰12012012)⋓(⫏≰110122001⋓⫏≰10002011))⪢((⫏≰2200020⪒⫏≰1212111)↙(⫏≰2101012⊉≛↸⫏≰10011002))∲⫓(⊄⩳↩(⨵≀≌(⨑⩽⪐⫏≰2120212)))","cot":[{"info":"↣≠⋷⫏≰12012012=NaN","layer":3},{"info":"⫏≰110122001⋓⫏≰10002011=⫏≰0","layer":3},{"info":"NaN⋓⫏≰0=⫏≰0","layer":2},{"info":"⫏≰2200020⪒⫏≰1212111=⫏≰-11112201","layer":3},{"info":"⫏≰2101012⊉≛↸⫏≰10011002=⫏≰11202101","layer":3},{"info":"⫏≰-11112201↙⫏≰11202101=⫏≰-11112201","layer":2},{"info":"⫏≰0⪢⫏≰-11112201=NaN","layer":1},{"info":"⨑⩽⪐⫏≰2120212=⫏≰-2012202","layer":3},{"info":"⨵≀≌⫏≰-2012202=⫏≰11220011221211","layer":2},{"info":"⊄⩳↩⫏≰11220011221211=⫏≰-112200112212110","layer":1},{"info":"NaN∲⫓⫏≰-112200112212110=NaN","layer":0}]}
{"id":34,"expression_no_base_symbol":"($2643$⫩⊇)⩷∴($1178$⩤)⨸⪁($1070$⊪)⨽($5829$%$2373$)⨵⪆($2325$↬$4755$⊉≛↸($3936$-$3451$))⪢(($4696$⪄$6052$)≎⊠⪸$1395$≹⇙⪍$5886$)","expression":"(⫏≰10121220⫩⊇)⩷∴(⫏≰1121122⩤)⨸⪁(⫏≰1110122⊪)⨽(⫏≰21222220%⫏≰10020220)⨵⪆(⫏≰10012010↬⫏≰20112010⊉≛↸(⫏≰12101210-⫏≰11201211))⪢((⫏≰20102221⪄⫏≰22022011)≎⊠⪸⫏≰1220200≹⇙⪍⫏≰22002000)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":236,"operation_count":15,"complexity_ratio":15.733333333333333,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2643,"base":3}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1178,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1070,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5829,"base":3},"right_expr":{"type":"numeric_atoms","value":2373,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2325,"base":3},"right_expr":{"type":"numeric_atoms","value":4755,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3936,"base":3},"right_expr":{"type":"numeric_atoms","value":3451,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4696,"base":3},"right_expr":{"type":"numeric_atoms","value":6052,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1395,"base":3},"right_expr":{"type":"numeric_atoms","value":5886,"base":3}}}}},"used_operators":["2DQ55sFlQl","g55IO6H4Gj","9FxExcQeMw","BjRHVeLaeN","Z2TMIBDE3Q","8HhzD0ZcuI","zVYPLywUTj","k8jYdgA6NY","dWAJyo7jo9","DZ8iAZOCBD","B5M0gjZbta","rysDP5nf3Z","bJkvcejdHO","SUmda5xLS4","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2643","layer":4},{"info":"compute unary expreesion, input=2643, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2601","layer":3},{"info":"number node, value=1178","layer":4},{"info":"compute unary expreesion, input=1178, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1178","layer":3},{"info":"compute binary expreesion, left_input=-2601, right_input=-1178, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2878","layer":2},{"info":"number node, value=1070","layer":4},{"info":"compute unary expreesion, input=1070, 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=5829","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=5829, right_input=2373, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1083","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1083, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1935","layer":2},{"info":"compute binary expreesion, left_input=-2878, right_input=-1935, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-9626","layer":1},{"info":"number node, value=2325","layer":4},{"info":"number node, value=4755","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=4755, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3936","layer":4},{"info":"number node, value=3451","layer":4},{"info":"compute binary expreesion, left_input=3936, right_input=3451, op_id = rysDP5nf3Z binary_op_definition= 'None', output=485","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=485, 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=4696","layer":4},{"info":"number node, value=6052","layer":4},{"info":"compute binary expreesion, left_input=4696, right_input=6052, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-715305","layer":3},{"info":"number node, value=1395","layer":4},{"info":"number node, value=5886","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=5886, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-715305, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-9626, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10121220⫩⊇)⩷∴(⫏≰1121122⩤)⨸⪁(⫏≰1110122⊪)⨽(⫏≰21222220%⫏≰10020220)⨵⪆(⫏≰10012010↬⫏≰20112010⊉≛↸(⫏≰12101210-⫏≰11201211))⪢((⫏≰20102221⪄⫏≰22022011)≎⊠⪸⫏≰1220200≹⇙⪍⫏≰22002000)=⫏≰12221","reverse_text":"⫏≰12221=(⫏≰10121220⫩⊇)⩷∴(⫏≰1121122⩤)⨸⪁(⫏≰1110122⊪)⨽(⫏≰21222220%⫏≰10020220)⨵⪆(⫏≰10012010↬⫏≰20112010⊉≛↸(⫏≰12101210-⫏≰11201211))⪢((⫏≰20102221⪄⫏≰22022011)≎⊠⪸⫏≰1220200≹⇙⪍⫏≰22002000)","cot":[{"info":"⫏≰10121220⫩⊇=⫏≰-10120100","layer":3},{"info":"⫏≰1121122⩤=⫏≰-1121122","layer":3},{"info":"⫏≰-10120100⩷∴⫏≰-1121122=⫏≰-10221121","layer":2},{"info":"⫏≰1110122⊪=⫏≰0","layer":3},{"info":"⫏≰21222220%⫏≰10020220=⫏≰1111010","layer":3},{"info":"⫏≰0⨽⫏≰1111010=⫏≰-2122200","layer":2},{"info":"⫏≰-10221121⨸⪁⫏≰-2122200=⫏≰-111012112","layer":1},{"info":"⫏≰10012010↬⫏≰20112010=NaN","layer":3},{"info":"⫏≰12101210-⫏≰11201211=⫏≰122222","layer":3},{"info":"NaN⊉≛↸⫏≰122222=NaN","layer":2},{"info":"⫏≰20102221⪄⫏≰22022011=⫏≰-1100100012210","layer":3},{"info":"⫏≰1220200≹⇙⪍⫏≰22002000=NaN","layer":3},{"info":"⫏≰-1100100012210≎⊠⪸NaN=⫏≰2111","layer":2},{"info":"NaN⪢⫏≰2111=NaN","layer":1},{"info":"⫏≰-111012112⨵⪆NaN=⫏≰12221","layer":0}]}
{"id":35,"expression_no_base_symbol":"(($6609$⋳⪒$7344$)↬($2924$≭$2179$)⨎(($1021$+⇶⊼$1151$)⩠))⩷∴((⨑⩽⪐(-$6231$))⫩⊇)","expression":"((⫏≰100001210⋳⪒⫏≰101002000)↬(⫏≰11000022≭⫏≰2222201)⨎((⫏≰1101211+⇶⊼⫏≰1120122)⩠))⩷∴((⨑⩽⪐(-⫏≰22112210))⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":45,"operation_count":10,"complexity_ratio":4.5,"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":6609,"base":3},"right_expr":{"type":"numeric_atoms","value":7344,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2924,"base":3},"right_expr":{"type":"numeric_atoms","value":2179,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1021,"base":3},"right_expr":{"type":"numeric_atoms","value":1151,"base":3}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6231,"base":3}}}}},"used_operators":["9FxExcQeMw","rJVOvQCfKK","B5M0gjZbta","12rbrZMWeM","rxpJgHHUmx","sJAwomhLZr","TpPTUOHfaN","BjRHVeLaeN","AF7qkfDlqP","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6609","layer":4},{"info":"number node, value=7344","layer":4},{"info":"compute binary expreesion, left_input=6609, right_input=7344, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5587","layer":3},{"info":"number node, value=2924","layer":4},{"info":"number node, value=2179","layer":4},{"info":"compute binary expreesion, left_input=2924, right_input=2179, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5587, 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=1021","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1151, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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 = 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=6231","layer":4},{"info":"compute unary expreesion, input=6231, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6231","layer":3},{"info":"compute unary expreesion, input=-6231, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=13251","layer":2},{"info":"compute unary expreesion, input=13251, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-13209","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-13209, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰100001210⋳⪒⫏≰101002000)↬(⫏≰11000022≭⫏≰2222201)⨎((⫏≰1101211+⇶⊼⫏≰1120122)⩠))⩷∴((⨑⩽⪐(-⫏≰22112210))⫩⊇)=NaN","reverse_text":"NaN=((⫏≰100001210⋳⪒⫏≰101002000)↬(⫏≰11000022≭⫏≰2222201)⨎((⫏≰1101211+⇶⊼⫏≰1120122)⩠))⩷∴((⨑⩽⪐(-⫏≰22112210))⫩⊇)","cot":[{"info":"⫏≰100001210⋳⪒⫏≰101002000=⫏≰21122221","layer":3},{"info":"⫏≰11000022≭⫏≰2222201=NaN","layer":3},{"info":"⫏≰21122221↬NaN=NaN","layer":2},{"info":"⫏≰1101211+⇶⊼⫏≰1120122=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"-⫏≰22112210=⫏≰-22112210","layer":3},{"info":"⨑⩽⪐⫏≰-22112210=⫏≰200011210","layer":2},{"info":"⫏≰200011210⫩⊇=⫏≰-200010020","layer":1},{"info":"NaN⩷∴⫏≰-200010020=NaN","layer":0}]}
{"id":36,"expression_no_base_symbol":"((⊄⩳↩($1042$∑⇟⊟$4889$))⪘⫢(($1929$⨽$1162$)∸))⪛(-(($8595$⊭↱$1065$)⊘))","expression":"((⊄⩳↩(⫏≰1102121∑⇟⊟⫏≰20201002))⪘⫢((⫏≰2122110⨽⫏≰1121001)∸))⪛(-((⫏≰102210100⊭↱⫏≰1110110)⊘))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2160,"operation_count":9,"complexity_ratio":240.0,"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":1042,"base":3},"right_expr":{"type":"numeric_atoms","value":4889,"base":3}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1929,"base":3},"right_expr":{"type":"numeric_atoms","value":1162,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8595,"base":3},"right_expr":{"type":"numeric_atoms","value":1065,"base":3}}}}},"used_operators":["uFcxV4UQCh","oacrs7FA3X","8w2t5hMYqp","U7g4x0WXJJ","o20kRiQErp","8HhzD0ZcuI","t8gj7n24qd","gu96TGCTMs","COABgblf1C"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":4},{"info":"number node, value=4889","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=4889, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1929","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=1162, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11165295","layer":3},{"info":"compute unary expreesion, input=-11165295, 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 = 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=8595","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=8595, right_input=1065, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-15055","layer":3},{"info":"compute unary expreesion, input=-15055, 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 = t8gj7n24qd, unary_op_definition = 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊄⩳↩(⫏≰1102121∑⇟⊟⫏≰20201002))⪘⫢((⫏≰2122110⨽⫏≰1121001)∸))⪛(-((⫏≰102210100⊭↱⫏≰1110110)⊘))=NaN","reverse_text":"NaN=((⊄⩳↩(⫏≰1102121∑⇟⊟⫏≰20201002))⪘⫢((⫏≰2122110⨽⫏≰1121001)∸))⪛(-((⫏≰102210100⊭↱⫏≰1110110)⊘))","cot":[{"info":"⫏≰1102121∑⇟⊟⫏≰20201002=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⫏≰2122110⨽⫏≰1121001=⫏≰-210000020220110","layer":3},{"info":"⫏≰-210000020220110∸=⫏≰20120","layer":2},{"info":"NaN⪘⫢⫏≰20120=NaN","layer":1},{"info":"⫏≰102210100⊭↱⫏≰1110110=⫏≰-202122121","layer":3},{"info":"⫏≰-202122121⊘=⫏≰-1","layer":2},{"info":"-⫏≰-1=⫏≰1","layer":1},{"info":"NaN⪛⫏≰1=NaN","layer":0}]}
{"id":37,"expression_no_base_symbol":"((↥($9449$↺$6332$))⪄(⨰⫟⨤$1233$)⨟⋌⩍($3507$⋷$4283$))⨰(-$6237$⊴$4810$)∀⇚≩(⨈⫕$3696$⋝⋈⪟$2502$)","expression":"((↥(⫏≰110221222↺⫏≰22200112))⪄(⨰⫟⨤⫏≰1200200)⨟⋌⩍(⫏≰11210220⋷⫏≰12212122))⨰(-⫏≰22120000⊴⫏≰20121011)∀⇚≩(⨈⫕⫏≰12001220⋝⋈⪟⫏≰10102200)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9586,"operation_count":12,"complexity_ratio":798.8333333333334,"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":9449,"base":3},"right_expr":{"type":"numeric_atoms","value":6332,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1233,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3507,"base":3},"right_expr":{"type":"numeric_atoms","value":4283,"base":3}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6237,"base":3},"right_expr":{"type":"numeric_atoms","value":4810,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3696,"base":3},"right_expr":{"type":"numeric_atoms","value":2502,"base":3}}}}},"used_operators":["eewbuw0ToL","SUmda5xLS4","A8NUZmVepG","7j4O788W3g","rGHVDoGpnC","Tw270M8GLb","23Mk6UjR3U","LRNGc0VcxI","t8gj7n24qd","Nsiff2A1zJ","megm06wKyl","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=9449","layer":4},{"info":"number node, value=6332","layer":4},{"info":"compute binary expreesion, left_input=9449, right_input=6332, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6332","layer":3},{"info":"compute unary expreesion, input=6332, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=8","layer":2},{"info":"number node, value=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3507","layer":4},{"info":"number node, value=4283","layer":4},{"info":"compute binary expreesion, left_input=3507, right_input=4283, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5059","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5059, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=8, 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=6237","layer":4},{"info":"number node, value=4810","layer":4},{"info":"compute binary expreesion, left_input=6237, right_input=4810, 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=3696","layer":4},{"info":"number node, value=2502","layer":4},{"info":"compute binary expreesion, left_input=3696, right_input=2502, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3696","layer":3},{"info":"compute unary expreesion, input=3696, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↥(⫏≰110221222↺⫏≰22200112))⪄(⨰⫟⨤⫏≰1200200)⨟⋌⩍(⫏≰11210220⋷⫏≰12212122))⨰(-⫏≰22120000⊴⫏≰20121011)∀⇚≩(⨈⫕⫏≰12001220⋝⋈⪟⫏≰10102200)=NaN","reverse_text":"NaN=((↥(⫏≰110221222↺⫏≰22200112))⪄(⨰⫟⨤⫏≰1200200)⨟⋌⩍(⫏≰11210220⋷⫏≰12212122))⨰(-⫏≰22120000⊴⫏≰20121011)∀⇚≩(⨈⫕⫏≰12001220⋝⋈⪟⫏≰10102200)","cot":[{"info":"⫏≰110221222↺⫏≰22200112=⫏≰22200112","layer":3},{"info":"↥⫏≰22200112=⫏≰22","layer":2},{"info":"⨰⫟⨤⫏≰1200200=NaN","layer":3},{"info":"⫏≰11210220⋷⫏≰12212122=⫏≰20221101","layer":3},{"info":"NaN⨟⋌⩍⫏≰20221101=NaN","layer":2},{"info":"⫏≰22⪄NaN=NaN","layer":1},{"info":"⫏≰22120000⊴⫏≰20121011=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"⫏≰12001220⋝⋈⪟⫏≰10102200=⫏≰12001220","layer":3},{"info":"⨈⫕⫏≰12001220=⫏≰-210","layer":2},{"info":"NaN∀⇚≩⫏≰-210=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":38,"expression_no_base_symbol":"(↽≂(⨞⊢$6585$⋓$3288$))⋝⋈⪟(($2253$⪒$4416$)⊭↱($1602$↛⩡⫤))∑⇟⊟(↯⪼(⪲⇎$5497$))","expression":"(↽≂(⨞⊢⫏≰100000220⋓⫏≰11111210))⋝⋈⪟((⫏≰10002110⪒⫏≰20001120)⊭↱(⫏≰2012100↛⩡⫤))∑⇟⊟(↯⪼(⪲⇎⫏≰21112121))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":310193,"operation_count":10,"complexity_ratio":31019.3,"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":6585,"base":3},"right_expr":{"type":"numeric_atoms","value":3288,"base":3}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2253,"base":3},"right_expr":{"type":"numeric_atoms","value":4416,"base":3}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1602,"base":3}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5497,"base":3}}}}},"used_operators":["2DDjHMKMc0","u6S6b8DprG","xUOZtlo3hN","T2fj7uvVaJ","U7g4x0WXJJ","COABgblf1C","f6k1SAg4EE","FU0Cs4j7VP","8jW3W4yZS5","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6585","layer":4},{"info":"number node, value=3288","layer":4},{"info":"compute binary expreesion, left_input=6585, right_input=3288, op_id = T2fj7uvVaJ 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=348","layer":1},{"info":"number node, value=2253","layer":4},{"info":"number node, value=4416","layer":4},{"info":"compute binary expreesion, left_input=2253, right_input=4416, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6669","layer":3},{"info":"number node, value=1602","layer":4},{"info":"compute unary expreesion, input=1602, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-237991","layer":3},{"info":"compute binary expreesion, left_input=-6669, right_input=-237991, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-462639","layer":2},{"info":"number node, value=5497","layer":4},{"info":"compute unary expreesion, input=5497, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10994","layer":3},{"info":"compute unary expreesion, input=10994, 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=-462639, right_input=-21, 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=348, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↽≂(⨞⊢⫏≰100000220⋓⫏≰11111210))⋝⋈⪟((⫏≰10002110⪒⫏≰20001120)⊭↱(⫏≰2012100↛⩡⫤))∑⇟⊟(↯⪼(⪲⇎⫏≰21112121))=NaN","reverse_text":"NaN=(↽≂(⨞⊢⫏≰100000220⋓⫏≰11111210))⋝⋈⪟((⫏≰10002110⪒⫏≰20001120)⊭↱(⫏≰2012100↛⩡⫤))∑⇟⊟(↯⪼(⪲⇎⫏≰21112121))","cot":[{"info":"⫏≰100000220⋓⫏≰11111210=⫏≰0","layer":3},{"info":"⨞⊢⫏≰0=⫏≰-20110","layer":2},{"info":"↽≂⫏≰-20110=⫏≰110220","layer":1},{"info":"⫏≰10002110⪒⫏≰20001120=⫏≰-100011000","layer":3},{"info":"⫏≰2012100↛⩡⫤=⫏≰-110002110111","layer":3},{"info":"⫏≰-100011000⊭↱⫏≰-110002110111=⫏≰-212111121210","layer":2},{"info":"⪲⇎⫏≰21112121=⫏≰120002012","layer":3},{"info":"↯⪼⫏≰120002012=⫏≰-210","layer":2},{"info":"⫏≰-212111121210∑⇟⊟⫏≰-210=NaN","layer":1},{"info":"⫏≰110220⋝⋈⪟NaN=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"(($2738$⨐⩸⫘$3453$)⨟⋌⩍($6557$/$5323$)⇼⇔∾(($3495$⩨$1278$)⨁⊸⫻))⩚⊴⇥((≤/(↥$6572$))⇼⇔∾($1962$∀⇚≩$5019$⫡⨏($2400$⋷$2657$)))","expression":"((⫏≰10202102⨐⩸⫘⫏≰11201220)⨟⋌⩍(⫏≰22222212/⫏≰21022011)⇼⇔∾((⫏≰11210110⩨⫏≰1202100)⨁⊸⫻))⩚⊴⇥((≤/(↥⫏≰100000102))⇼⇔∾(⫏≰2200200∀⇚≩⫏≰20212220⫡⨏(⫏≰10021220⋷⫏≰10122102)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13893,"operation_count":13,"complexity_ratio":1068.6923076923076,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2738,"base":3},"right_expr":{"type":"numeric_atoms","value":3453,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6557,"base":3},"right_expr":{"type":"numeric_atoms","value":5323,"base":3}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3495,"base":3},"right_expr":{"type":"numeric_atoms","value":1278,"base":3}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6572,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1962,"base":3},"right_expr":{"type":"numeric_atoms","value":5019,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2400,"base":3},"right_expr":{"type":"numeric_atoms","value":2657,"base":3}}}}},"used_operators":["NTOWxs364D","tifHPKVTfV","rGHVDoGpnC","fu6greOZ01","XhwjNDsVaA","glklzrTFfD","2DlMacCsIx","eLAdDNolq6","A8NUZmVepG","QMFrweE19q","LRNGc0VcxI","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2738","layer":4},{"info":"number node, value=3453","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=3453, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=6557","layer":4},{"info":"number node, value=5323","layer":4},{"info":"compute binary expreesion, left_input=6557, right_input=5323, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"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":2},{"info":"number node, value=3495","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=3495, right_input=1278, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; 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=6572","layer":4},{"info":"compute unary expreesion, input=6572, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":3},{"info":"compute unary expreesion, input=44, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=440","layer":2},{"info":"number node, value=1962","layer":4},{"info":"number node, value=5019","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=5019, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2400","layer":4},{"info":"number node, value=2657","layer":4},{"info":"compute binary expreesion, left_input=2400, right_input=2657, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2914","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2914, op_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=440, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', 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":3,"result_base":3,"text":"((⫏≰10202102⨐⩸⫘⫏≰11201220)⨟⋌⩍(⫏≰22222212/⫏≰21022011)⇼⇔∾((⫏≰11210110⩨⫏≰1202100)⨁⊸⫻))⩚⊴⇥((≤/(↥⫏≰100000102))⇼⇔∾(⫏≰2200200∀⇚≩⫏≰20212220⫡⨏(⫏≰10021220⋷⫏≰10122102)))=NaN","reverse_text":"NaN=((⫏≰10202102⨐⩸⫘⫏≰11201220)⨟⋌⩍(⫏≰22222212/⫏≰21022011)⇼⇔∾((⫏≰11210110⩨⫏≰1202100)⨁⊸⫻))⩚⊴⇥((≤/(↥⫏≰100000102))⇼⇔∾(⫏≰2200200∀⇚≩⫏≰20212220⫡⨏(⫏≰10021220⋷⫏≰10122102)))","cot":[{"info":"⫏≰10202102⨐⩸⫘⫏≰11201220=NaN","layer":3},{"info":"⫏≰22222212/⫏≰21022011=⫏≰1","layer":3},{"info":"NaN⨟⋌⩍⫏≰1=NaN","layer":2},{"info":"⫏≰11210110⩨⫏≰1202100=⫏≰0","layer":3},{"info":"⫏≰0⨁⊸⫻=⫏≰0","layer":2},{"info":"NaN⇼⇔∾⫏≰0=NaN","layer":1},{"info":"↥⫏≰100000102=⫏≰1122","layer":3},{"info":"≤/⫏≰1122=⫏≰121022","layer":2},{"info":"⫏≰2200200∀⇚≩⫏≰20212220=NaN","layer":3},{"info":"⫏≰10021220⋷⫏≰10122102=⫏≰10222221","layer":3},{"info":"NaN⫡⨏⫏≰10222221=NaN","layer":2},{"info":"⫏≰121022⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":40,"expression_no_base_symbol":"((⪲⇎$6907$)⨟⋌⩍($5318$⫡⨏$5037$)⪄($1363$⫸⊐$4548$∲⫓$3950$⋥≓≎$7275$))⪄(($1247$≫≃)⩷∴($1977$⨁⊸⫻)⩨($8254$⫥∨⫟$3680$)∑⇟⊟(↥$2232$))","expression":"((⪲⇎⫏≰100110211)⨟⋌⩍(⫏≰21021222⫡⨏⫏≰20220120)⪄(⫏≰1212111⫸⊐⫏≰20020110∲⫓⫏≰12102022⋥≓≎⫏≰100222110))⪄((⫏≰1201012≫≃)⩷∴(⫏≰2201020⨁⊸⫻)⩨(⫏≰102022201⫥∨⫟⫏≰12001022)∑⇟⊟(↥⫏≰10001200))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1892,"operation_count":15,"complexity_ratio":126.13333333333334,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6907,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5318,"base":3},"right_expr":{"type":"numeric_atoms","value":5037,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1363,"base":3},"right_expr":{"type":"numeric_atoms","value":4548,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3950,"base":3},"right_expr":{"type":"numeric_atoms","value":7275,"base":3}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1247,"base":3}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1977,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":8254,"base":3},"right_expr":{"type":"numeric_atoms","value":3680,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2232,"base":3}}}}},"used_operators":["SUmda5xLS4","rGHVDoGpnC","XPYlsWDdGa","QMFrweE19q","i8ToyICDmI","mqXw5SEYmG","Qy55tPpLXF","2DlMacCsIx","9FxExcQeMw","X99M06cbEe","glklzrTFfD","U7g4x0WXJJ","KYD54nUTWz","A8NUZmVepG"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6907","layer":4},{"info":"compute unary expreesion, input=6907, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13814","layer":3},{"info":"number node, value=5318","layer":4},{"info":"number node, value=5037","layer":4},{"info":"compute binary expreesion, left_input=5318, right_input=5037, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=37447","layer":3},{"info":"compute binary expreesion, left_input=13814, right_input=37447, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1363","layer":4},{"info":"number node, value=4548","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=4548, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18067","layer":3},{"info":"number node, value=3950","layer":4},{"info":"number node, value=7275","layer":4},{"info":"compute binary expreesion, left_input=3950, right_input=7275, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10633","layer":3},{"info":"compute binary expreesion, left_input=18067, right_input=10633, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3895","layer":3},{"info":"number node, value=1977","layer":4},{"info":"compute unary expreesion, input=1977, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1977","layer":3},{"info":"compute binary expreesion, left_input=3895, right_input=1977, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3804","layer":2},{"info":"number node, value=8254","layer":4},{"info":"number node, value=3680","layer":4},{"info":"compute binary expreesion, left_input=8254, right_input=3680, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2232","layer":4},{"info":"compute unary expreesion, input=2232, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=39","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=39, 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=3804, 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=3979, 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":3,"result_base":3,"text":"((⪲⇎⫏≰100110211)⨟⋌⩍(⫏≰21021222⫡⨏⫏≰20220120)⪄(⫏≰1212111⫸⊐⫏≰20020110∲⫓⫏≰12102022⋥≓≎⫏≰100222110))⪄((⫏≰1201012≫≃)⩷∴(⫏≰2201020⨁⊸⫻)⩨(⫏≰102022201⫥∨⫟⫏≰12001022)∑⇟⊟(↥⫏≰10001200))=NaN","reverse_text":"NaN=((⪲⇎⫏≰100110211)⨟⋌⩍(⫏≰21021222⫡⨏⫏≰20220120)⪄(⫏≰1212111⫸⊐⫏≰20020110∲⫓⫏≰12102022⋥≓≎⫏≰100222110))⪄((⫏≰1201012≫≃)⩷∴(⫏≰2201020⨁⊸⫻)⩨(⫏≰102022201⫥∨⫟⫏≰12001022)∑⇟⊟(↥⫏≰10001200))","cot":[{"info":"⪲⇎⫏≰100110211=⫏≰200221122","layer":3},{"info":"⫏≰21021222⫡⨏⫏≰20220120=⫏≰1220100221","layer":3},{"info":"⫏≰200221122⨟⋌⩍⫏≰1220100221=NaN","layer":2},{"info":"⫏≰1212111⫸⊐⫏≰20020110=⫏≰220210011","layer":3},{"info":"⫏≰12102022⋥≓≎⫏≰100222110=⫏≰112120211","layer":3},{"info":"⫏≰220210011∲⫓⫏≰112120211=⫏≰0","layer":2},{"info":"NaN⪄⫏≰0=⫏≰12110101","layer":1},{"info":"⫏≰1201012≫≃=⫏≰12100021","layer":3},{"info":"⫏≰2201020⨁⊸⫻=⫏≰2201020","layer":3},{"info":"⫏≰12100021⩷∴⫏≰2201020=⫏≰12012220","layer":2},{"info":"⫏≰102022201⫥∨⫟⫏≰12001022=NaN","layer":3},{"info":"↥⫏≰10001200=⫏≰1110","layer":3},{"info":"NaN∑⇟⊟⫏≰1110=NaN","layer":2},{"info":"⫏≰12012220⩨NaN=NaN","layer":1},{"info":"⫏≰12110101⪄NaN=NaN","layer":0}]}
{"id":41,"expression_no_base_symbol":"(($7036$⪄$6528$⪨≂($1336$⊘))⨰($1380$⇷$3104$+⇶⊼($2508$↪⪝)))∼(↯⪼($4933$⨟⋌⩍$2438$⫸⊐($5858$-$6297$)))","expression":"((⫏≰100122121⪄⫏≰22221210⪨≂(⫏≰1211111⊘))⨰(⫏≰1220010⇷⫏≰11020222+⇶⊼(⫏≰10102220↪⪝)))∼(↯⪼(⫏≰20202201⨟⋌⩍⫏≰10100022⫸⊐(⫏≰22000222-⫏≰22122020)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20294,"operation_count":12,"complexity_ratio":1691.1666666666667,"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":7036,"base":3},"right_expr":{"type":"numeric_atoms","value":6528,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1336,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1380,"base":3},"right_expr":{"type":"numeric_atoms","value":3104,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2508,"base":3}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4933,"base":3},"right_expr":{"type":"numeric_atoms","value":2438,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5858,"base":3},"right_expr":{"type":"numeric_atoms","value":6297,"base":3}}}}},"used_operators":["DyGG3AbaNP","eewbuw0ToL","sdazOOVcIp","SUmda5xLS4","gu96TGCTMs","TpPTUOHfaN","mp7IySMOzn","l07mrZUIn9","8jW3W4yZS5","mqXw5SEYmG","rGHVDoGpnC","rysDP5nf3Z"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7036","layer":4},{"info":"number node, value=6528","layer":4},{"info":"compute binary expreesion, left_input=7036, right_input=6528, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1063529","layer":3},{"info":"number node, value=1336","layer":4},{"info":"compute unary expreesion, input=1336, 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=-1063529, 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=-2126956","layer":2},{"info":"number node, value=1380","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=3104, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6208","layer":3},{"info":"number node, value=2508","layer":4},{"info":"compute unary expreesion, input=2508, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=153444456","layer":3},{"info":"compute binary expreesion, left_input=6208, right_input=153444456, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-2126956, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=4933","layer":4},{"info":"number node, value=2438","layer":4},{"info":"compute binary expreesion, left_input=4933, right_input=2438, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=5858","layer":4},{"info":"number node, value=6297","layer":4},{"info":"compute binary expreesion, left_input=5858, right_input=6297, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-439","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-439, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰100122121⪄⫏≰22221210⪨≂(⫏≰1211111⊘))⨰(⫏≰1220010⇷⫏≰11020222+⇶⊼(⫏≰10102220↪⪝)))∼(↯⪼(⫏≰20202201⨟⋌⩍⫏≰10100022⫸⊐(⫏≰22000222-⫏≰22122020)))=⫏≰0","reverse_text":"⫏≰0=((⫏≰100122121⪄⫏≰22221210⪨≂(⫏≰1211111⊘))⨰(⫏≰1220010⇷⫏≰11020222+⇶⊼(⫏≰10102220↪⪝)))∼(↯⪼(⫏≰20202201⨟⋌⩍⫏≰10100022⫸⊐(⫏≰22000222-⫏≰22122020)))","cot":[{"info":"⫏≰100122121⪄⫏≰22221210=⫏≰-2000000212222","layer":3},{"info":"⫏≰1211111⊘=⫏≰0","layer":3},{"info":"⫏≰-2000000212222⪨≂⫏≰0=⫏≰-11000001122011","layer":2},{"info":"⫏≰1220010⇷⫏≰11020222=⫏≰22111221","layer":3},{"info":"⫏≰10102220↪⪝=⫏≰101200201210020000","layer":3},{"info":"⫏≰22111221+⇶⊼⫏≰101200201210020000=NaN","layer":2},{"info":"⫏≰-11000001122011⨰NaN=NaN","layer":1},{"info":"⫏≰20202201⨟⋌⩍⫏≰10100022=NaN","layer":3},{"info":"⫏≰22000222-⫏≰22122020=⫏≰-121021","layer":3},{"info":"NaN⫸⊐⫏≰-121021=NaN","layer":2},{"info":"↯⪼NaN=⫏≰-210","layer":1},{"info":"NaN∼⫏≰-210=⫏≰0","layer":0}]}
{"id":42,"expression_no_base_symbol":"((⇁⨣⪵$8062$⨰$4721$)⇋≉)⨵⪆(≉($5651$⨎$2946$%$4699$⋳⪒$2266$))","expression":"((⇁⨣⪵⫏≰102001121⨰⫏≰20110212)⇋≉)⨵⪆(≉(⫏≰21202022⨎⫏≰11001010%⫏≰20110001⋳⪒⫏≰10002221))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":22,"operation_count":8,"complexity_ratio":2.75,"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":8062,"base":3},"right_expr":{"type":"numeric_atoms","value":4721,"base":3}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5651,"base":3},"right_expr":{"type":"numeric_atoms","value":2946,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4699,"base":3},"right_expr":{"type":"numeric_atoms","value":2266,"base":3}}}}},"used_operators":["2DQ55sFlQl","XIabStNQrY","inkyxCbjAn","eewbuw0ToL","e1ybzncUwg","k8jYdgA6NY","rJVOvQCfKK","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8062","layer":4},{"info":"number node, value=4721","layer":4},{"info":"compute binary expreesion, left_input=8062, right_input=4721, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3351","layer":3},{"info":"compute unary expreesion, input=3351, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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=5651","layer":4},{"info":"number node, value=2946","layer":4},{"info":"compute binary expreesion, left_input=5651, right_input=2946, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2946","layer":3},{"info":"number node, value=4699","layer":4},{"info":"number node, value=2266","layer":4},{"info":"compute binary expreesion, left_input=4699, right_input=2266, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6845","layer":3},{"info":"compute binary expreesion, left_input=2946, right_input=6845, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2946","layer":2},{"info":"compute unary expreesion, input=2946, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3477","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3477, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"((⇁⨣⪵⫏≰102001121⨰⫏≰20110212)⇋≉)⨵⪆(≉(⫏≰21202022⨎⫏≰11001010%⫏≰20110001⋳⪒⫏≰10002221))=⫏≰12221","reverse_text":"⫏≰12221=((⇁⨣⪵⫏≰102001121⨰⫏≰20110212)⇋≉)⨵⪆(≉(⫏≰21202022⨎⫏≰11001010%⫏≰20110001⋳⪒⫏≰10002221))","cot":[{"info":"⫏≰102001121⨰⫏≰20110212=⫏≰11121010","layer":3},{"info":"⇁⨣⪵⫏≰11121010=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⫏≰21202022⨎⫏≰11001010=⫏≰11001010","layer":3},{"info":"⫏≰20110001⋳⪒⫏≰10002221=⫏≰100101112","layer":3},{"info":"⫏≰11001010%⫏≰100101112=⫏≰11001010","layer":2},{"info":"≉⫏≰11001010=⫏≰11202210","layer":1},{"info":"NaN⨵⪆⫏≰11202210=⫏≰12221","layer":0}]}
{"id":43,"expression_no_base_symbol":"⋗⩬⋾((∥⊫($7550$⪨≂$3935$))⋷($4822$⪘⫢$4443$)⪮%⊝(⇁⨣⪵$1139$))","expression":"⋗⩬⋾((∥⊫(⫏≰101100122⪨≂⫏≰12101202))⋷(⫏≰20121121⪘⫢⫏≰20002120)⪮%⊝(⇁⨣⪵⫏≰1120012))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":40,"operation_count":7,"complexity_ratio":5.714285714285714,"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":7550,"base":3},"right_expr":{"type":"numeric_atoms","value":3935,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4822,"base":3},"right_expr":{"type":"numeric_atoms","value":4443,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1139,"base":3}}}}},"used_operators":["DpFCA1CohY","23Mk6UjR3U","P8v4zCKN1o","sdazOOVcIp","IWmyXbctLI","oacrs7FA3X","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7550","layer":4},{"info":"number node, value=3935","layer":4},{"info":"compute binary expreesion, left_input=7550, right_input=3935, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7332","layer":3},{"info":"compute unary expreesion, input=7332, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8200","layer":2},{"info":"number node, value=4822","layer":4},{"info":"number node, value=4443","layer":4},{"info":"compute binary expreesion, left_input=4822, right_input=4443, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9520","layer":3},{"info":"number node, value=1139","layer":4},{"info":"compute unary expreesion, input=1139, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9520, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8200, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⋗⩬⋾((∥⊫(⫏≰101100122⪨≂⫏≰12101202))⋷(⫏≰20121121⪘⫢⫏≰20002120)⪮%⊝(⇁⨣⪵⫏≰1120012))=NaN","reverse_text":"NaN=⋗⩬⋾((∥⊫(⫏≰101100122⪨≂⫏≰12101202))⋷(⫏≰20121121⪘⫢⫏≰20002120)⪮%⊝(⇁⨣⪵⫏≰1120012))","cot":[{"info":"⫏≰101100122⪨≂⫏≰12101202=⫏≰101001120","layer":3},{"info":"∥⊫⫏≰101001120=⫏≰102020201","layer":2},{"info":"⫏≰20121121⪘⫢⫏≰20002120=⫏≰111001121","layer":3},{"info":"⇁⨣⪵⫏≰1120012=NaN","layer":3},{"info":"⫏≰111001121⪮%⊝NaN=NaN","layer":2},{"info":"⫏≰102020201⋷NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":44,"expression_no_base_symbol":"((⨵≀≌($1086$⩨$6026$))⇼⇔∾(($6306$⪒$5106$)⩨(↯⪼$1802$)))⋫","expression":"((⨵≀≌(⫏≰1111020⩨⫏≰22021012))⇼⇔∾((⫏≰22122120⪒⫏≰21000010)⩨(↯⪼⫏≰2110202)))⋫","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":293,"operation_count":7,"complexity_ratio":41.857142857142854,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1086,"base":3},"right_expr":{"type":"numeric_atoms","value":6026,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6306,"base":3},"right_expr":{"type":"numeric_atoms","value":5106,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1802,"base":3}}}}},"used_operators":["JL8yIekQnl","tifHPKVTfV","srAu1WTS94","2DlMacCsIx","f6k1SAg4EE","8jW3W4yZS5"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⫏≰22100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1086","layer":4},{"info":"number node, value=6026","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=6026, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-15","layer":3},{"info":"compute unary expreesion, input=-15, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=225","layer":2},{"info":"number node, value=6306","layer":4},{"info":"number node, value=5106","layer":4},{"info":"compute binary expreesion, left_input=6306, right_input=5106, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11412","layer":3},{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, 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=-11412, right_input=-21, 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=225, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-225","layer":1},{"info":"compute unary expreesion, input=-225, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=225","layer":0}],"base":3,"result_base":3,"text":"((⨵≀≌(⫏≰1111020⩨⫏≰22021012))⇼⇔∾((⫏≰22122120⪒⫏≰21000010)⩨(↯⪼⫏≰2110202)))⋫=⫏≰22100","reverse_text":"⫏≰22100=((⨵≀≌(⫏≰1111020⩨⫏≰22021012))⇼⇔∾((⫏≰22122120⪒⫏≰21000010)⩨(↯⪼⫏≰2110202)))⋫","cot":[{"info":"⫏≰1111020⩨⫏≰22021012=⫏≰-120","layer":3},{"info":"⨵≀≌⫏≰-120=⫏≰22100","layer":2},{"info":"⫏≰22122120⪒⫏≰21000010=⫏≰-120122200","layer":3},{"info":"↯⪼⫏≰2110202=⫏≰-210","layer":3},{"info":"⫏≰-120122200⩨⫏≰-210=⫏≰0","layer":2},{"info":"⫏≰22100⇼⇔∾⫏≰0=⫏≰-22100","layer":1},{"info":"⫏≰-22100⋫=⫏≰22100","layer":0}]}
{"id":45,"expression_no_base_symbol":"((+⊝⨔$1730$)⩷∴($1504$↙$2148$)⫸⊐(⨑⩽⪐($2647$⊉≛↸$2741$)))⪘⫢(($1052$*$1885$)≭($1592$⩤))≹⇙⪍($1346$∀⇚≩$5490$⩚⊴⇥(⪲⇎$1786$))","expression":"((+⊝⨔⫏≰2101002)⩷∴(⫏≰2001201↙⫏≰2221120)⫸⊐(⨑⩽⪐(⫏≰10122001⊉≛↸⫏≰10202112)))⪘⫢((⫏≰1102222*⫏≰2120211)≭(⫏≰2011222⩤))≹⇙⪍(⫏≰1211212∀⇚≩⫏≰21112100⩚⊴⇥(⪲⇎⫏≰2110011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12716,"operation_count":14,"complexity_ratio":908.2857142857143,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1730,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1504,"base":3},"right_expr":{"type":"numeric_atoms","value":2148,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2647,"base":3},"right_expr":{"type":"numeric_atoms","value":2741,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1052,"base":3},"right_expr":{"type":"numeric_atoms","value":1885,"base":3}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1592,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1346,"base":3},"right_expr":{"type":"numeric_atoms","value":5490,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1786,"base":3}}}}},"used_operators":["oacrs7FA3X","mqXw5SEYmG","9FxExcQeMw","DhbWaqg5eL","yyfyN0ffXY","AF7qkfDlqP","DZ8iAZOCBD","AHs5Up7iyr","rxpJgHHUmx","9HNa5Wba9A","Z2TMIBDE3Q","NTOWxs364D","LRNGc0VcxI","XPYlsWDdGa"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1730","layer":4},{"info":"compute unary expreesion, input=1730, 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=1504","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=2148, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6444","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-6444, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=15900","layer":2},{"info":"number node, value=2647","layer":4},{"info":"number node, value=2741","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=2741, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5294","layer":3},{"info":"compute unary expreesion, input=5294, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5021","layer":2},{"info":"compute binary expreesion, left_input=15900, right_input=-5021, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-10171","layer":1},{"info":"number node, value=1052","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1885, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1983020","layer":3},{"info":"number node, value=1592","layer":4},{"info":"compute unary expreesion, input=1592, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1592","layer":3},{"info":"compute binary expreesion, left_input=1983020, right_input=-1592, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1346","layer":4},{"info":"number node, value=5490","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=5490, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1786","layer":4},{"info":"compute unary expreesion, input=1786, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3572","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3572, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-10171, 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":3,"result_base":3,"text":"((+⊝⨔⫏≰2101002)⩷∴(⫏≰2001201↙⫏≰2221120)⫸⊐(⨑⩽⪐(⫏≰10122001⊉≛↸⫏≰10202112)))⪘⫢((⫏≰1102222*⫏≰2120211)≭(⫏≰2011222⩤))≹⇙⪍(⫏≰1211212∀⇚≩⫏≰21112100⩚⊴⇥(⪲⇎⫏≰2110011))=NaN","reverse_text":"NaN=((+⊝⨔⫏≰2101002)⩷∴(⫏≰2001201↙⫏≰2221120)⫸⊐(⨑⩽⪐(⫏≰10122001⊉≛↸⫏≰10202112)))⪘⫢((⫏≰1102222*⫏≰2120211)≭(⫏≰2011222⩤))≹⇙⪍(⫏≰1211212∀⇚≩⫏≰21112100⩚⊴⇥(⪲⇎⫏≰2110011))","cot":[{"info":"+⊝⨔⫏≰2101002=⫏≰2002101","layer":3},{"info":"⫏≰2001201↙⫏≰2221120=⫏≰-22211200","layer":3},{"info":"⫏≰2002101⩷∴⫏≰-22211200=⫏≰210210220","layer":2},{"info":"⫏≰10122001⊉≛↸⫏≰10202112=⫏≰21021002","layer":3},{"info":"⨑⩽⪐⫏≰21021002=⫏≰-20212222","layer":2},{"info":"⫏≰210210220⫸⊐⫏≰-20212222=⫏≰-111221201","layer":1},{"info":"⫏≰1102222*⫏≰2120211=⫏≰10201202012012","layer":3},{"info":"⫏≰2011222⩤=⫏≰-2011222","layer":3},{"info":"⫏≰10201202012012≭⫏≰-2011222=NaN","layer":2},{"info":"⫏≰1211212∀⇚≩⫏≰21112100=NaN","layer":3},{"info":"⪲⇎⫏≰2110011=⫏≰11220022","layer":3},{"info":"NaN⩚⊴⇥⫏≰11220022=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"⫏≰-111221201⪘⫢NaN=NaN","layer":0}]}
{"id":46,"expression_no_base_symbol":"⫛⫱⨽(((⋗⩬⋾$4335$)⨐⩸⫘$1787$≭$1092$)∼($2189$≹⇙⪍$2161$≎⊠⪸$6371$≹⇙⪍$4461$))","expression":"⫛⫱⨽(((⋗⩬⋾⫏≰12221120)⨐⩸⫘⫏≰2110012≭⫏≰1111110)∼(⫏≰10000002≹⇙⪍⫏≰2222001≎⊠⪸⫏≰22201222≹⇙⪍⫏≰20010020))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1219,"operation_count":8,"complexity_ratio":152.375,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4335,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1787,"base":3},"right_expr":{"type":"numeric_atoms","value":1092,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2189,"base":3},"right_expr":{"type":"numeric_atoms","value":2161,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6371,"base":3},"right_expr":{"type":"numeric_atoms","value":4461,"base":3}}}}},"used_operators":["DlLNRPXxWL","DyGG3AbaNP","fu6greOZ01","DpFCA1CohY","rxpJgHHUmx","bJkvcejdHO","AHs5Up7iyr"],"dependent_operators":["rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4335","layer":4},{"info":"compute unary expreesion, input=4335, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-13005","layer":3},{"info":"number node, value=1787","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=1092, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-13005, 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=2189","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=2189, right_input=2161, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=6371","layer":4},{"info":"number node, value=4461","layer":4},{"info":"compute binary expreesion, left_input=6371, right_input=4461, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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 = 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⫛⫱⨽(((⋗⩬⋾⫏≰12221120)⨐⩸⫘⫏≰2110012≭⫏≰1111110)∼(⫏≰10000002≹⇙⪍⫏≰2222001≎⊠⪸⫏≰22201222≹⇙⪍⫏≰20010020))=⫏≰0","reverse_text":"⫏≰0=⫛⫱⨽(((⋗⩬⋾⫏≰12221120)⨐⩸⫘⫏≰2110012≭⫏≰1111110)∼(⫏≰10000002≹⇙⪍⫏≰2222001≎⊠⪸⫏≰22201222≹⇙⪍⫏≰20010020))","cot":[{"info":"⋗⩬⋾⫏≰12221120=⫏≰-122211200","layer":3},{"info":"⫏≰2110012≭⫏≰1111110=NaN","layer":3},{"info":"⫏≰-122211200⨐⩸⫘NaN=NaN","layer":2},{"info":"⫏≰10000002≹⇙⪍⫏≰2222001=NaN","layer":3},{"info":"⫏≰22201222≹⇙⪍⫏≰20010020=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=⫏≰2111","layer":2},{"info":"NaN∼⫏≰2111=⫏≰0","layer":1},{"info":"⫛⫱⨽⫏≰0=⫏≰0","layer":0}]}
{"id":47,"expression_no_base_symbol":"($2007$∲⫓$2993$⨵⪆$3771$⪄$2049$)⩷∴(($4246$%$1901$)≧⫂∧($2533$⨵⪆$3070$))+($6908$⨓$4121$⋫)⪒($5855$⪨≂$1143$)+⇶⊼$5509$∼$8585$","expression":"(⫏≰2202100∲⫓⫏≰11002212⨵⪆⫏≰12011200⪄⫏≰2210220)⩷∴((⫏≰12211021%⫏≰2121102)≧⫂∧(⫏≰10110211⨵⪆⫏≰11012201))+(⫏≰100110212⨓⫏≰12122122⋫)⪒(⫏≰22000212⪨≂⫏≰1120100)+⇶⊼⫏≰21120001∼⫏≰102202222","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8479,"operation_count":14,"complexity_ratio":605.6428571428571,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2007,"base":3},"right_expr":{"type":"numeric_atoms","value":2993,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3771,"base":3},"right_expr":{"type":"numeric_atoms","value":2049,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4246,"base":3},"right_expr":{"type":"numeric_atoms","value":1901,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2533,"base":3},"right_expr":{"type":"numeric_atoms","value":3070,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6908,"base":3},"right_expr":{"type":"numeric_atoms","value":4121,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5855,"base":3},"right_expr":{"type":"numeric_atoms","value":1143,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5509,"base":3},"right_expr":{"type":"numeric_atoms","value":8585,"base":3}}}}},"used_operators":["W4YGzv6Whe","9FxExcQeMw","2DQ55sFlQl","i8ToyICDmI","SUmda5xLS4","Ph9nP6C5qx","k8jYdgA6NY","f6k1SAg4EE","JL8yIekQnl","3ViojmjbAp","TpPTUOHfaN","sdazOOVcIp","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2007","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=2993, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3771","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=3771, right_input=2049, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-562393","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-562393, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4246","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=4246, right_input=1901, op_id = k8jYdgA6NY binary_op_definition= 'None', output=444","layer":3},{"info":"number node, value=2533","layer":4},{"info":"number node, value=3070","layer":4},{"info":"compute binary expreesion, left_input=2533, right_input=3070, 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=444, 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=160, right_input=-313, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=914","layer":1},{"info":"number node, value=6908","layer":4},{"info":"number node, value=4121","layer":4},{"info":"compute binary expreesion, left_input=6908, right_input=4121, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4124","layer":3},{"info":"compute unary expreesion, input=-4124, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-4124","layer":2},{"info":"number node, value=5855","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=5855, right_input=1143, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9526","layer":3},{"info":"number node, value=5509","layer":4},{"info":"number node, value=8585","layer":4},{"info":"compute binary expreesion, left_input=5509, right_input=8585, 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=9526, 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=-4124, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=914, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2202100∲⫓⫏≰11002212⨵⪆⫏≰12011200⪄⫏≰2210220)⩷∴((⫏≰12211021%⫏≰2121102)≧⫂∧(⫏≰10110211⨵⪆⫏≰11012201))+(⫏≰100110212⨓⫏≰12122122⋫)⪒(⫏≰22000212⪨≂⫏≰1120100)+⇶⊼⫏≰21120001∼⫏≰102202222=NaN","reverse_text":"NaN=(⫏≰2202100∲⫓⫏≰11002212⨵⪆⫏≰12011200⪄⫏≰2210220)⩷∴((⫏≰12211021%⫏≰2121102)≧⫂∧(⫏≰10110211⨵⪆⫏≰11012201))+(⫏≰100110212⨓⫏≰12122122⋫)⪒(⫏≰22000212⪨≂⫏≰1120100)+⇶⊼⫏≰21120001∼⫏≰102202222","cot":[{"info":"⫏≰2202100∲⫓⫏≰11002212=⫏≰0","layer":3},{"info":"⫏≰12011200⪄⫏≰2210220=⫏≰-1001120110101","layer":3},{"info":"⫏≰0⨵⪆⫏≰-1001120110101=⫏≰12221","layer":2},{"info":"⫏≰12211021%⫏≰2121102=⫏≰121110","layer":3},{"info":"⫏≰10110211⨵⪆⫏≰11012201=⫏≰12221","layer":3},{"info":"⫏≰121110≧⫂∧⫏≰12221=⫏≰-102121","layer":2},{"info":"⫏≰12221⩷∴⫏≰-102121=⫏≰1020212","layer":1},{"info":"⫏≰100110212⨓⫏≰12122122=⫏≰-12122202","layer":3},{"info":"⫏≰-12122202⋫=⫏≰-12122202","layer":2},{"info":"⫏≰22000212⪨≂⫏≰1120100=⫏≰111001211","layer":3},{"info":"⫏≰21120001∼⫏≰102202222=NaN","layer":3},{"info":"⫏≰111001211+⇶⊼NaN=NaN","layer":2},{"info":"⫏≰-12122202⪒NaN=NaN","layer":1},{"info":"⫏≰1020212+NaN=NaN","layer":0}]}
{"id":48,"expression_no_base_symbol":"⨞⊢($1156$∼$2027$≧⫂∧$1709$⪛$1301$)≹⇙⪍(↣≠⋷(⨞⊢$4662$))","expression":"⨞⊢(⫏≰1120211∼⫏≰2210002≧⫂∧⫏≰2100022⪛⫏≰1210012)≹⇙⪍(↣≠⋷(⨞⊢⫏≰20101200))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":37,"operation_count":7,"complexity_ratio":5.285714285714286,"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":1156,"base":3},"right_expr":{"type":"numeric_atoms","value":2027,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1709,"base":3},"right_expr":{"type":"numeric_atoms","value":1301,"base":3}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4662,"base":3}}}}},"used_operators":["xUOZtlo3hN","AHs5Up7iyr","Ph9nP6C5qx","DyGG3AbaNP","uFcxV4UQCh","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1156","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=2027, 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=1709","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=1301, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=408","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=408, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-65","layer":2},{"info":"number node, value=4662","layer":4},{"info":"compute unary expreesion, input=4662, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4836","layer":3},{"info":"compute unary expreesion, input=-4836, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-65, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨞⊢(⫏≰1120211∼⫏≰2210002≧⫂∧⫏≰2100022⪛⫏≰1210012)≹⇙⪍(↣≠⋷(⨞⊢⫏≰20101200))=NaN","reverse_text":"NaN=⨞⊢(⫏≰1120211∼⫏≰2210002≧⫂∧⫏≰2100022⪛⫏≰1210012)≹⇙⪍(↣≠⋷(⨞⊢⫏≰20101200))","cot":[{"info":"⫏≰1120211∼⫏≰2210002=NaN","layer":3},{"info":"⫏≰2100022⪛⫏≰1210012=⫏≰120010","layer":3},{"info":"NaN≧⫂∧⫏≰120010=⫏≰-2102","layer":2},{"info":"⨞⊢⫏≰20101200=⫏≰-20122010","layer":3},{"info":"↣≠⋷⫏≰-20122010=NaN","layer":2},{"info":"⫏≰-2102≹⇙⪍NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":49,"expression_no_base_symbol":"⨈⫕(-$3147$↬$3976$)⊴(≉(↥$7249$))","expression":"⨈⫕(-⫏≰11022120↬⫏≰12110021)⊴(≉(↥⫏≰100221111))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1076,"operation_count":6,"complexity_ratio":179.33333333333334,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3147,"base":3},"right_expr":{"type":"numeric_atoms","value":3976,"base":3}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7249,"base":3}}}}},"used_operators":["megm06wKyl","Nsiff2A1zJ","t8gj7n24qd","B5M0gjZbta","e1ybzncUwg","A8NUZmVepG"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3147","layer":4},{"info":"number node, value=3976","layer":4},{"info":"compute binary expreesion, left_input=3147, right_input=3976, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7249","layer":4},{"info":"compute unary expreesion, input=7249, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":3},{"info":"compute unary expreesion, input=7, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=538","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=538, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":3,"result_base":3,"text":"⨈⫕(-⫏≰11022120↬⫏≰12110021)⊴(≉(↥⫏≰100221111))=⫏≰-210","reverse_text":"⫏≰-210=⨈⫕(-⫏≰11022120↬⫏≰12110021)⊴(≉(↥⫏≰100221111))","cot":[{"info":"⫏≰11022120↬⫏≰12110021=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"↥⫏≰100221111=⫏≰21","layer":3},{"info":"≉⫏≰21=⫏≰201221","layer":2},{"info":"NaN⊴⫏≰201221=NaN","layer":1},{"info":"⨈⫕NaN=⫏≰-210","layer":0}]}
{"id":50,"expression_no_base_symbol":"((($4131$-$1340$)⊉≛↸(↯⪼$1404$))∸)⨳⩥⨓((⩦⩻⨪(↥$4936$))⨸⪁($4642$⊴$3927$⪨≂$7903$⊴$2445$))","expression":"(((⫏≰12200000-⫏≰1211122)⊉≛↸(↯⪼⫏≰1221000))∸)⨳⩥⨓((⩦⩻⨪(↥⫏≰20202211))⨸⪁(⫏≰20100221⊴⫏≰12101110⪨≂⫏≰101211201⊴⫏≰10100120))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15595,"operation_count":11,"complexity_ratio":1417.7272727272727,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4131,"base":3},"right_expr":{"type":"numeric_atoms","value":1340,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1404,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4936,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4642,"base":3},"right_expr":{"type":"numeric_atoms","value":3927,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7903,"base":3},"right_expr":{"type":"numeric_atoms","value":2445,"base":3}}}}},"used_operators":["nCS4ZIUYfx","o20kRiQErp","DZ8iAZOCBD","rysDP5nf3Z","8jW3W4yZS5","g55IO6H4Gj","2td37pGCOC","A8NUZmVepG","sdazOOVcIp","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=4131","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=4131, right_input=1340, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2791","layer":3},{"info":"number node, value=1404","layer":4},{"info":"compute unary expreesion, input=1404, 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=2791, right_input=-21, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5582","layer":2},{"info":"compute unary expreesion, input=5582, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=4936","layer":4},{"info":"compute unary expreesion, input=4936, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":3},{"info":"compute unary expreesion, input=40, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=40","layer":2},{"info":"number node, value=4642","layer":4},{"info":"number node, value=3927","layer":4},{"info":"compute binary expreesion, left_input=4642, right_input=3927, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7903","layer":4},{"info":"number node, value=2445","layer":4},{"info":"compute binary expreesion, left_input=7903, right_input=2445, 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 = 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=40, 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=177, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰12200000-⫏≰1211122)⊉≛↸(↯⪼⫏≰1221000))∸)⨳⩥⨓((⩦⩻⨪(↥⫏≰20202211))⨸⪁(⫏≰20100221⊴⫏≰12101110⪨≂⫏≰101211201⊴⫏≰10100120))=NaN","reverse_text":"NaN=(((⫏≰12200000-⫏≰1211122)⊉≛↸(↯⪼⫏≰1221000))∸)⨳⩥⨓((⩦⩻⨪(↥⫏≰20202211))⨸⪁(⫏≰20100221⊴⫏≰12101110⪨≂⫏≰101211201⊴⫏≰10100120))","cot":[{"info":"⫏≰12200000-⫏≰1211122=⫏≰10211101","layer":3},{"info":"↯⪼⫏≰1221000=⫏≰-210","layer":3},{"info":"⫏≰10211101⊉≛↸⫏≰-210=⫏≰21122202","layer":2},{"info":"⫏≰21122202∸=⫏≰20120","layer":1},{"info":"↥⫏≰20202211=⫏≰1111","layer":3},{"info":"⩦⩻⨪⫏≰1111=⫏≰1111","layer":2},{"info":"⫏≰20100221⊴⫏≰12101110=NaN","layer":3},{"info":"⫏≰101211201⊴⫏≰10100120=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⫏≰1111⨸⪁NaN=NaN","layer":1},{"info":"⫏≰20120⨳⩥⨓NaN=NaN","layer":0}]}
{"id":51,"expression_no_base_symbol":"(≤/((↔$5911$)≋⫹))⪛(($2948$⩚⊴⇥$8740$+($4627$⨵⪆$1001$))⫌⩹⨱)","expression":"(≤/((↔⫏≰22002221)≋⫹))⪛((⫏≰11001012⩚⊴⇥⫏≰102222201+(⫏≰20100101⨵⪆⫏≰1101002))⫌⩹⨱)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27,"operation_count":8,"complexity_ratio":3.375,"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":5911,"base":3}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2948,"base":3},"right_expr":{"type":"numeric_atoms","value":8740,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4627,"base":3},"right_expr":{"type":"numeric_atoms","value":1001,"base":3}}}}},"used_operators":["uFcxV4UQCh","eLAdDNolq6","N41Kp7NANJ","ruOEQAzv1W","EBcxylXtPf","W4YGzv6Whe","NTOWxs364D","2DQ55sFlQl"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-112210201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5911","layer":4},{"info":"compute unary expreesion, input=5911, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5638","layer":3},{"info":"compute unary expreesion, input=-5638, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=11276","layer":2},{"info":"compute unary expreesion, input=11276, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-10792","layer":1},{"info":"number node, value=2948","layer":4},{"info":"number node, value=8740","layer":4},{"info":"compute binary expreesion, left_input=2948, right_input=8740, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11809","layer":3},{"info":"number node, value=4627","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=4627, right_input=1001, 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=-11809, right_input=160, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-11649","layer":2},{"info":"compute unary expreesion, input=-11649, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-21897","layer":1},{"info":"compute binary expreesion, left_input=-10792, right_input=-21897, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-10792","layer":0}],"base":3,"result_base":3,"text":"(≤/((↔⫏≰22002221)≋⫹))⪛((⫏≰11001012⩚⊴⇥⫏≰102222201+(⫏≰20100101⨵⪆⫏≰1101002))⫌⩹⨱)=⫏≰-112210201","reverse_text":"⫏≰-112210201=(≤/((↔⫏≰22002221)≋⫹))⪛((⫏≰11001012⩚⊴⇥⫏≰102222201+(⫏≰20100101⨵⪆⫏≰1101002))⫌⩹⨱)","cot":[{"info":"↔⫏≰22002221=⫏≰-21201211","layer":3},{"info":"⫏≰-21201211≋⫹=⫏≰120110122","layer":2},{"info":"≤/⫏≰120110122=⫏≰-112210201","layer":1},{"info":"⫏≰11001012⩚⊴⇥⫏≰102222201=⫏≰-121012101","layer":3},{"info":"⫏≰20100101⨵⪆⫏≰1101002=⫏≰12221","layer":3},{"info":"⫏≰-121012101+⫏≰12221=⫏≰-120222110","layer":2},{"info":"⫏≰-120222110⫌⩹⨱=⫏≰-1010001000","layer":1},{"info":"⫏≰-112210201⪛⫏≰-1010001000=⫏≰-112210201","layer":0}]}
{"id":52,"expression_no_base_symbol":"(($1822$↺$1100$)⩷∴($5175$⪨≂$1541$)⫌⩹⨱)⪘⫢(⫓⪴((⫓⪴$6796$)⫸⊐($3422$%$1850$)))","expression":"((⫏≰2111111↺⫏≰1111202)⩷∴(⫏≰21002200⪨≂⫏≰2010002)⫌⩹⨱)⪘⫢(⫓⪴((⫓⪴⫏≰100022201)⫸⊐(⫏≰11200202%⫏≰2112112)))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13013,"operation_count":9,"complexity_ratio":1445.888888888889,"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":1822,"base":3},"right_expr":{"type":"numeric_atoms","value":1100,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5175,"base":3},"right_expr":{"type":"numeric_atoms","value":1541,"base":3}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6796,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3422,"base":3},"right_expr":{"type":"numeric_atoms","value":1850,"base":3}}}}},"used_operators":["oacrs7FA3X","EBcxylXtPf","9FxExcQeMw","7j4O788W3g","sdazOOVcIp","eLxqMNBOBk","mqXw5SEYmG","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1822","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=1822, right_input=1100, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1100","layer":3},{"info":"number node, value=5175","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=5175, right_input=1541, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7370","layer":3},{"info":"compute binary expreesion, left_input=1100, right_input=7370, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12572","layer":2},{"info":"compute unary expreesion, input=-12572, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-23743","layer":1},{"info":"number node, value=6796","layer":4},{"info":"compute unary expreesion, input=6796, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=46185616","layer":3},{"info":"number node, value=3422","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=1850, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1572","layer":3},{"info":"compute binary expreesion, left_input=46185616, right_input=1572, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6163","layer":2},{"info":"compute unary expreesion, input=6163, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=37982569","layer":1},{"info":"compute binary expreesion, left_input=-23743, right_input=37982569, 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":3,"result_base":3,"text":"((⫏≰2111111↺⫏≰1111202)⩷∴(⫏≰21002200⪨≂⫏≰2010002)⫌⩹⨱)⪘⫢(⫓⪴((⫓⪴⫏≰100022201)⫸⊐(⫏≰11200202%⫏≰2112112)))=⫏≰0","reverse_text":"⫏≰0=((⫏≰2111111↺⫏≰1111202)⩷∴(⫏≰21002200⪨≂⫏≰2010002)⫌⩹⨱)⪘⫢(⫓⪴((⫓⪴⫏≰100022201)⫸⊐(⫏≰11200202%⫏≰2112112)))","cot":[{"info":"⫏≰2111111↺⫏≰1111202=⫏≰1111202","layer":3},{"info":"⫏≰21002200⪨≂⫏≰2010002=⫏≰101002222","layer":3},{"info":"⫏≰1111202⩷∴⫏≰101002222=⫏≰-122020122","layer":2},{"info":"⫏≰-122020122⫌⩹⨱=⫏≰-1012120101","layer":1},{"info":"⫓⪴⫏≰100022201=⫏≰10012220110202101","layer":3},{"info":"⫏≰11200202%⫏≰2112112=⫏≰2011020","layer":3},{"info":"⫏≰10012220110202101⫸⊐⫏≰2011020=⫏≰22110021","layer":2},{"info":"⫓⪴⫏≰22110021=⫏≰2122110201021211","layer":1},{"info":"⫏≰-1012120101⪘⫢⫏≰2122110201021211=⫏≰0","layer":0}]}
{"id":53,"expression_no_base_symbol":"⨰⫟⨤(($2458$⨽$2473$⪒(↽≂$4297$))∧)","expression":"⨰⫟⨤((⫏≰10101001⨽⫏≰10101121⪒(↽≂⫏≰12220011))∧)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2508,"operation_count":5,"complexity_ratio":501.6,"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":2458,"base":3},"right_expr":{"type":"numeric_atoms","value":2473,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4297,"base":3}}}}},"used_operators":["Tw270M8GLb","z63VuFQld9","f6k1SAg4EE","8HhzD0ZcuI","u6S6b8DprG"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2458","layer":4},{"info":"number node, value=2473","layer":4},{"info":"compute binary expreesion, left_input=2458, right_input=2473, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18131397","layer":3},{"info":"number node, value=4297","layer":4},{"info":"compute unary expreesion, input=4297, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8594","layer":3},{"info":"compute binary expreesion, left_input=-18131397, right_input=-8594, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=18139991","layer":2},{"info":"compute unary expreesion, input=18139991, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤((⫏≰10101001⨽⫏≰10101121⪒(↽≂⫏≰12220011))∧)=NaN","reverse_text":"NaN=⨰⫟⨤((⫏≰10101001⨽⫏≰10101121⪒(↽≂⫏≰12220011))∧)","cot":[{"info":"⫏≰10101001⨽⫏≰10101121=⫏≰-1021010011121020","layer":3},{"info":"↽≂⫏≰12220011=⫏≰-102210022","layer":3},{"info":"⫏≰-1021010011121020⪒⫏≰-102210022=⫏≰1021010121101112","layer":2},{"info":"⫏≰1021010121101112∧=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":54,"expression_no_base_symbol":"(($4158$⋥≓≎$1586$)⫌⩹⨱)⨸⪁$2623$∼$2030$∑⇟⊟(⨵≀≌$2058$)⋷(($4595$/$7062$)⨸⪁$5058$≹⇙⪍$2440$⨵⪆($1295$⋫)↺($3039$↙$1325$))","expression":"((⫏≰12201000⋥≓≎⫏≰2011202)⫌⩹⨱)⨸⪁⫏≰10121011∼⫏≰2210012∑⇟⊟(⨵≀≌⫏≰2211020)⋷((⫏≰20022012/⫏≰100200120)⨸⪁⫏≰20221100≹⇙⪍⫏≰10100101⨵⪆(⫏≰1202222⋫)↺(⫏≰11011120↙⫏≰1211002))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2704,"operation_count":14,"complexity_ratio":193.14285714285714,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4158,"base":3},"right_expr":{"type":"numeric_atoms","value":1586,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2623,"base":3},"right_expr":{"type":"numeric_atoms","value":2030,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2058,"base":3}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4595,"base":3},"right_expr":{"type":"numeric_atoms","value":7062,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5058,"base":3},"right_expr":{"type":"numeric_atoms","value":2440,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1295,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3039,"base":3},"right_expr":{"type":"numeric_atoms","value":1325,"base":3}}}}},"used_operators":["23Mk6UjR3U","g55IO6H4Gj","EBcxylXtPf","Qy55tPpLXF","U7g4x0WXJJ","DyGG3AbaNP","srAu1WTS94","2DQ55sFlQl","XhwjNDsVaA","AHs5Up7iyr","7j4O788W3g","JL8yIekQnl","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4158","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=4158, right_input=1586, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-953","layer":3},{"info":"compute unary expreesion, input=-953, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-505","layer":2},{"info":"number node, value=2623","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=2623, right_input=2030, 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=2058","layer":4},{"info":"compute unary expreesion, input=2058, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6174","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6174, 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=-505, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=4595","layer":4},{"info":"number node, value=7062","layer":4},{"info":"compute binary expreesion, left_input=4595, right_input=7062, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=5058","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=5058, right_input=2440, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1295","layer":4},{"info":"compute unary expreesion, input=1295, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1295","layer":3},{"info":"number node, value=3039","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=3039, right_input=1325, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3975","layer":3},{"info":"compute binary expreesion, left_input=1295, right_input=-3975, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3975","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3975, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12201000⋥≓≎⫏≰2011202)⫌⩹⨱)⨸⪁⫏≰10121011∼⫏≰2210012∑⇟⊟(⨵≀≌⫏≰2211020)⋷((⫏≰20022012/⫏≰100200120)⨸⪁⫏≰20221100≹⇙⪍⫏≰10100101⨵⪆(⫏≰1202222⋫)↺(⫏≰11011120↙⫏≰1211002))=NaN","reverse_text":"NaN=((⫏≰12201000⋥≓≎⫏≰2011202)⫌⩹⨱)⨸⪁⫏≰10121011∼⫏≰2210012∑⇟⊟(⨵≀≌⫏≰2211020)⋷((⫏≰20022012/⫏≰100200120)⨸⪁⫏≰20221100≹⇙⪍⫏≰10100101⨵⪆(⫏≰1202222⋫)↺(⫏≰11011120↙⫏≰1211002))","cot":[{"info":"⫏≰12201000⋥≓≎⫏≰2011202=⫏≰-1022022","layer":3},{"info":"⫏≰-1022022⫌⩹⨱=⫏≰-200201","layer":2},{"info":"⫏≰10121011∼⫏≰2210012=NaN","layer":3},{"info":"⨵≀≌⫏≰2211020=⫏≰-22110200","layer":3},{"info":"NaN∑⇟⊟⫏≰-22110200=NaN","layer":2},{"info":"⫏≰-200201⨸⪁NaN=NaN","layer":1},{"info":"⫏≰20022012/⫏≰100200120=⫏≰0","layer":3},{"info":"⫏≰20221100≹⇙⪍⫏≰10100101=NaN","layer":3},{"info":"⫏≰0⨸⪁NaN=NaN","layer":2},{"info":"⫏≰1202222⋫=⫏≰1202222","layer":3},{"info":"⫏≰11011120↙⫏≰1211002=⫏≰-12110020","layer":3},{"info":"⫏≰1202222↺⫏≰-12110020=⫏≰-12110020","layer":2},{"info":"NaN⨵⪆⫏≰-12110020=⫏≰12221","layer":1},{"info":"NaN⋷⫏≰12221=NaN","layer":0}]}
{"id":55,"expression_no_base_symbol":"((↯⪼($6354$⋫))/($3443$⊴$1324$⊭∹↮))∲⫓((⨞⊢$2120$⪢$1280$)⫡⨏($1998$↛⩡⫤)⨳⩥⨓$2863$⨽$2845$)","expression":"((↯⪼(⫏≰22201100⋫))/(⫏≰11201112⊴⫏≰1211001⊭∹↮))∲⫓((⨞⊢⫏≰2220112⪢⫏≰1202102)⫡⨏(⫏≰2202000↛⩡⫤)⨳⩥⨓⫏≰10221001⨽⫏≰10220101)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18601,"operation_count":12,"complexity_ratio":1550.0833333333333,"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":6354,"base":3}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3443,"base":3},"right_expr":{"type":"numeric_atoms","value":1324,"base":3}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2120,"base":3},"right_expr":{"type":"numeric_atoms","value":1280,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1998,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2863,"base":3},"right_expr":{"type":"numeric_atoms","value":2845,"base":3}}}}},"used_operators":["i8ToyICDmI","XhwjNDsVaA","8jW3W4yZS5","JL8yIekQnl","xNBdhnnwKq","Nsiff2A1zJ","QMFrweE19q","xUOZtlo3hN","dWAJyo7jo9","nCS4ZIUYfx","FU0Cs4j7VP","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6354","layer":4},{"info":"compute unary expreesion, input=6354, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6354","layer":3},{"info":"compute unary expreesion, input=6354, 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=3443","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=3443, right_input=1324, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=-21, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2120","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=1280, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=1998","layer":4},{"info":"compute unary expreesion, input=1998, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-297787","layer":3},{"info":"number node, value=2863","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=2845, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-24597528","layer":3},{"info":"compute binary expreesion, left_input=-297787, right_input=-24597528, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-24299741","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-24299741, op_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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↯⪼(⫏≰22201100⋫))/(⫏≰11201112⊴⫏≰1211001⊭∹↮))∲⫓((⨞⊢⫏≰2220112⪢⫏≰1202102)⫡⨏(⫏≰2202000↛⩡⫤)⨳⩥⨓⫏≰10221001⨽⫏≰10220101)=NaN","reverse_text":"NaN=((↯⪼(⫏≰22201100⋫))/(⫏≰11201112⊴⫏≰1211001⊭∹↮))∲⫓((⨞⊢⫏≰2220112⪢⫏≰1202102)⫡⨏(⫏≰2202000↛⩡⫤)⨳⩥⨓⫏≰10221001⨽⫏≰10220101)","cot":[{"info":"⫏≰22201100⋫=⫏≰22201100","layer":3},{"info":"↯⪼⫏≰22201100=⫏≰-210","layer":2},{"info":"⫏≰11201112⊴⫏≰1211001=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"⫏≰-210/NaN=NaN","layer":1},{"info":"⫏≰2220112⪢⫏≰1202102=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⫏≰2202000↛⩡⫤=⫏≰-120010111011","layer":3},{"info":"⫏≰10221001⨽⫏≰10220101=⫏≰-1201021200110120","layer":3},{"info":"⫏≰-120010111011⨳⩥⨓⫏≰-1201021200110120=⫏≰-1200201112222102","layer":2},{"info":"NaN⫡⨏⫏≰-1200201112222102=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":56,"expression_no_base_symbol":"≤/(($2406$/$6925$)⨳⩥⨓($1417$∸)/($1029$⫡⨏$2644$)-(↣≠⋷$1084$))","expression":"≤/((⫏≰10022010/⫏≰100111111)⨳⩥⨓(⫏≰1221111∸)/(⫏≰1102010⫡⨏⫏≰10121221)-(↣≠⋷⫏≰1111011))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":194,"operation_count":8,"complexity_ratio":24.25,"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":2406,"base":3},"right_expr":{"type":"numeric_atoms","value":6925,"base":3}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1417,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1029,"base":3},"right_expr":{"type":"numeric_atoms","value":2644,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1084,"base":3}}}}},"used_operators":["eLAdDNolq6","XhwjNDsVaA","nCS4ZIUYfx","o20kRiQErp","rysDP5nf3Z","QMFrweE19q","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2406","layer":4},{"info":"number node, value=6925","layer":4},{"info":"compute binary expreesion, left_input=2406, right_input=6925, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1417","layer":4},{"info":"compute unary expreesion, input=1417, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=177, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=177","layer":2},{"info":"number node, value=1029","layer":4},{"info":"number node, value=2644","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=2644, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11216","layer":3},{"info":"number node, value=1084","layer":4},{"info":"compute unary expreesion, input=1084, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11216, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = XhwjNDsVaA 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":3,"result_base":3,"text":"≤/((⫏≰10022010/⫏≰100111111)⨳⩥⨓(⫏≰1221111∸)/(⫏≰1102010⫡⨏⫏≰10121221)-(↣≠⋷⫏≰1111011))=NaN","reverse_text":"NaN=≤/((⫏≰10022010/⫏≰100111111)⨳⩥⨓(⫏≰1221111∸)/(⫏≰1102010⫡⨏⫏≰10121221)-(↣≠⋷⫏≰1111011))","cot":[{"info":"⫏≰10022010/⫏≰100111111=⫏≰0","layer":3},{"info":"⫏≰1221111∸=⫏≰20120","layer":3},{"info":"⫏≰0⨳⩥⨓⫏≰20120=⫏≰20120","layer":2},{"info":"⫏≰1102010⫡⨏⫏≰10121221=⫏≰120101102","layer":3},{"info":"↣≠⋷⫏≰1111011=NaN","layer":3},{"info":"⫏≰120101102-NaN=NaN","layer":2},{"info":"⫏≰20120/NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":57,"expression_no_base_symbol":"(-($2714$⩠))⋝⋈⪟(($2854$⫌⩹⨱)⫸⊐$3336$⪛$4298$)⋝⋈⪟(↥(⋗⩬⋾$1008$)↬($1424$/$6369$))","expression":"(-(⫏≰10201112⩠))⋝⋈⪟((⫏≰10220201⫌⩹⨱)⫸⊐⫏≰11120120⪛⫏≰12220012)⋝⋈⪟(↥(⋗⩬⋾⫏≰1101100)↬(⫏≰1221202/⫏≰22201220))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":66,"operation_count":11,"complexity_ratio":6.0,"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":2714,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2854,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3336,"base":3},"right_expr":{"type":"numeric_atoms","value":4298,"base":3}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1008,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1424,"base":3},"right_expr":{"type":"numeric_atoms","value":6369,"base":3}}}}},"used_operators":["2DDjHMKMc0","t8gj7n24qd","sJAwomhLZr","mqXw5SEYmG","EBcxylXtPf","uFcxV4UQCh","A8NUZmVepG","B5M0gjZbta","DpFCA1CohY","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2714","layer":4},{"info":"compute unary expreesion, input=2714, 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 = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":2},{"info":"number node, value=2854","layer":4},{"info":"compute unary expreesion, input=2854, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7109","layer":3},{"info":"number node, value=3336","layer":4},{"info":"number node, value=4298","layer":4},{"info":"compute binary expreesion, left_input=3336, right_input=4298, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3336","layer":3},{"info":"compute binary expreesion, left_input=7109, right_input=3336, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13219","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=13219, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":1},{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3024","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=6369","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=6369, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3024, 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 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(-(⫏≰10201112⩠))⋝⋈⪟((⫏≰10220201⫌⩹⨱)⫸⊐⫏≰11120120⪛⫏≰12220012)⋝⋈⪟(↥(⋗⩬⋾⫏≰1101100)↬(⫏≰1221202/⫏≰22201220))=NaN","reverse_text":"NaN=(-(⫏≰10201112⩠))⋝⋈⪟((⫏≰10220201⫌⩹⨱)⫸⊐⫏≰11120120⪛⫏≰12220012)⋝⋈⪟(↥(⋗⩬⋾⫏≰1101100)↬(⫏≰1221202/⫏≰22201220))","cot":[{"info":"⫏≰10201112⩠=⫏≰0","layer":3},{"info":"-⫏≰0=⫏≰0","layer":2},{"info":"⫏≰10220201⫌⩹⨱=⫏≰100202022","layer":3},{"info":"⫏≰11120120⪛⫏≰12220012=⫏≰11120120","layer":3},{"info":"⫏≰100202022⫸⊐⫏≰11120120=⫏≰200010121","layer":2},{"info":"⫏≰0⋝⋈⪟⫏≰200010121=⫏≰0","layer":1},{"info":"⋗⩬⋾⫏≰1101100=⫏≰-11011000","layer":3},{"info":"⫏≰1221202/⫏≰22201220=⫏≰0","layer":3},{"info":"⫏≰-11011000↬⫏≰0=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⫏≰0⋝⋈⪟NaN=NaN","layer":0}]}
{"id":58,"expression_no_base_symbol":"(($1613$⨎$1009$)≭$1787$⨰$4090$⨸⪁($1489$∧)⪘⫢($5696$⊪))↙((⨈⫕$5343$)⨸⪁$2910$⨎$1586$⊭↱$6939$⨓$1371$⨓($4372$⋝⋈⪟$3361$))","expression":"((⫏≰2012202⨎⫏≰1101101)≭⫏≰2110012⨰⫏≰12121111⨸⪁(⫏≰2001011∧)⪘⫢(⫏≰21210222⊪))↙((⨈⫕⫏≰21022220)⨸⪁⫏≰10222210⨎⫏≰2011202⊭↱⫏≰100112000⨓⫏≰1212210⨓(⫏≰12222221⋝⋈⪟⫏≰11121111))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6214,"operation_count":15,"complexity_ratio":414.26666666666665,"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":1613,"base":3},"right_expr":{"type":"numeric_atoms","value":1009,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1787,"base":3},"right_expr":{"type":"numeric_atoms","value":4090,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1489,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5696,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5343,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2910,"base":3},"right_expr":{"type":"numeric_atoms","value":1586,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6939,"base":3},"right_expr":{"type":"numeric_atoms","value":1371,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4372,"base":3},"right_expr":{"type":"numeric_atoms","value":3361,"base":3}}}}},"used_operators":["yyfyN0ffXY","g55IO6H4Gj","rxpJgHHUmx","rJVOvQCfKK","eewbuw0ToL","oacrs7FA3X","z63VuFQld9","zVYPLywUTj","COABgblf1C","megm06wKyl","3ViojmjbAp","2DDjHMKMc0"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1613","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=1613, right_input=1009, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1009","layer":3},{"info":"number node, value=1787","layer":4},{"info":"number node, value=4090","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=4090, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2293","layer":3},{"info":"compute binary expreesion, left_input=1009, right_input=-2293, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1489","layer":4},{"info":"compute unary expreesion, input=1489, 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=5696","layer":4},{"info":"compute unary expreesion, input=5696, 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 = 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=5343","layer":4},{"info":"compute unary expreesion, input=5343, 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=2910","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=2910, right_input=1586, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1586","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1586, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3130","layer":2},{"info":"number node, value=6939","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=6939, right_input=1371, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1374","layer":3},{"info":"number node, value=4372","layer":4},{"info":"number node, value=3361","layer":4},{"info":"compute binary expreesion, left_input=4372, right_input=3361, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4372","layer":3},{"info":"compute binary expreesion, left_input=-1374, right_input=4372, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4375","layer":2},{"info":"compute binary expreesion, left_input=3130, right_input=-4375, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-15005","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-15005, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2012202⨎⫏≰1101101)≭⫏≰2110012⨰⫏≰12121111⨸⪁(⫏≰2001011∧)⪘⫢(⫏≰21210222⊪))↙((⨈⫕⫏≰21022220)⨸⪁⫏≰10222210⨎⫏≰2011202⊭↱⫏≰100112000⨓⫏≰1212210⨓(⫏≰12222221⋝⋈⪟⫏≰11121111))=NaN","reverse_text":"NaN=((⫏≰2012202⨎⫏≰1101101)≭⫏≰2110012⨰⫏≰12121111⨸⪁(⫏≰2001011∧)⪘⫢(⫏≰21210222⊪))↙((⨈⫕⫏≰21022220)⨸⪁⫏≰10222210⨎⫏≰2011202⊭↱⫏≰100112000⨓⫏≰1212210⨓(⫏≰12222221⋝⋈⪟⫏≰11121111))","cot":[{"info":"⫏≰2012202⨎⫏≰1101101=⫏≰1101101","layer":3},{"info":"⫏≰2110012⨰⫏≰12121111=⫏≰-10010221","layer":3},{"info":"⫏≰1101101≭⫏≰-10010221=NaN","layer":2},{"info":"⫏≰2001011∧=NaN","layer":3},{"info":"⫏≰21210222⊪=⫏≰0","layer":3},{"info":"NaN⪘⫢⫏≰0=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⨈⫕⫏≰21022220=⫏≰-210","layer":3},{"info":"⫏≰10222210⨎⫏≰2011202=⫏≰2011202","layer":3},{"info":"⫏≰-210⨸⪁⫏≰2011202=⫏≰11021221","layer":2},{"info":"⫏≰100112000⨓⫏≰1212210=⫏≰-1212220","layer":3},{"info":"⫏≰12222221⋝⋈⪟⫏≰11121111=⫏≰12222221","layer":3},{"info":"⫏≰-1212220⨓⫏≰12222221=⫏≰-20000001","layer":2},{"info":"⫏≰11021221⊭↱⫏≰-20000001=⫏≰-202120202","layer":1},{"info":"NaN↙⫏≰-202120202=NaN","layer":0}]}
{"id":59,"expression_no_base_symbol":"(⊄⩳↩($1209$⪨≂$1522$⪨≂$2574$⨽$1814$))↺((⩦⩻⨪($1240$⊘))%($3108$⫡⨏$4290$)-($2776$⊦⊿))","expression":"(⊄⩳↩(⫏≰1122210⪨≂⫏≰2002101⪨≂⫏≰10112100⨽⫏≰2111012))↺((⩦⩻⨪(⫏≰1200221⊘))%(⫏≰11021010⫡⨏⫏≰12212220)-(⫏≰10210211⊦⊿))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2635,"operation_count":11,"complexity_ratio":239.54545454545453,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1209,"base":3},"right_expr":{"type":"numeric_atoms","value":1522,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2574,"base":3},"right_expr":{"type":"numeric_atoms","value":1814,"base":3}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1240,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3108,"base":3},"right_expr":{"type":"numeric_atoms","value":4290,"base":3}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2776,"base":3}}}}},"used_operators":["7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","8HhzD0ZcuI","k8jYdgA6NY","2td37pGCOC","gu96TGCTMs","rysDP5nf3Z","QMFrweE19q","14qkJME0vr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=1209, 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=-524","layer":3},{"info":"number node, value=2574","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=1814, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19880556","layer":3},{"info":"compute binary expreesion, left_input=-524, right_input=-19880556, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=39760166","layer":2},{"info":"compute unary expreesion, input=39760166, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-119280498","layer":1},{"info":"number node, value=1240","layer":4},{"info":"compute unary expreesion, input=1240, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=3108","layer":4},{"info":"number node, value=4290","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=4290, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24903","layer":3},{"info":"number node, value=2776","layer":4},{"info":"compute unary expreesion, input=2776, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8407","layer":3},{"info":"compute binary expreesion, left_input=24903, right_input=-8407, op_id = rysDP5nf3Z binary_op_definition= 'None', output=33310","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=33310, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-119280498, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⊄⩳↩(⫏≰1122210⪨≂⫏≰2002101⪨≂⫏≰10112100⨽⫏≰2111012))↺((⩦⩻⨪(⫏≰1200221⊘))%(⫏≰11021010⫡⨏⫏≰12212220)-(⫏≰10210211⊦⊿))=⫏≰0","reverse_text":"⫏≰0=(⊄⩳↩(⫏≰1122210⪨≂⫏≰2002101⪨≂⫏≰10112100⨽⫏≰2111012))↺((⩦⩻⨪(⫏≰1200221⊘))%(⫏≰11021010⫡⨏⫏≰12212220)-(⫏≰10210211⊦⊿))","cot":[{"info":"⫏≰1122210⪨≂⫏≰2002101=⫏≰-201102","layer":3},{"info":"⫏≰10112100⨽⫏≰2111012=⫏≰-1101102000222220","layer":3},{"info":"⫏≰-201102⪨≂⫏≰-1101102000222220=⫏≰2202211000200202","layer":2},{"info":"⊄⩳↩⫏≰2202211000200202=⫏≰-22022110002002020","layer":1},{"info":"⫏≰1200221⊘=⫏≰0","layer":3},{"info":"⩦⩻⨪⫏≰0=⫏≰0","layer":2},{"info":"⫏≰11021010⫡⨏⫏≰12212220=⫏≰1021011100","layer":3},{"info":"⫏≰10210211⊦⊿=⫏≰-102112101","layer":3},{"info":"⫏≰1021011100-⫏≰-102112101=⫏≰1200200201","layer":2},{"info":"⫏≰0%⫏≰1200200201=⫏≰0","layer":1},{"info":"⫏≰-22022110002002020↺⫏≰0=⫏≰0","layer":0}]}
{"id":60,"expression_no_base_symbol":"↩($1496$⩠)⨰($1454$*$1824$)↺(⋗⩬⋾($5542$⊪))","expression":"↩(⫏≰2001102⩠)⨰(⫏≰1222212*⫏≰2111120)↺(⋗⩬⋾(⫏≰21121021⊪))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1535,"operation_count":7,"complexity_ratio":219.28571428571428,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1496,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1454,"base":3},"right_expr":{"type":"numeric_atoms","value":1824,"base":3}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5542,"base":3}}}}},"used_operators":["jLgFTUHLKL","7j4O788W3g","eewbuw0ToL","sJAwomhLZr","9HNa5Wba9A","DpFCA1CohY","zVYPLywUTj"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫏≰20122102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1496","layer":4},{"info":"compute unary expreesion, input=1496, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1454","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=1824, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2652096","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2652096, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2652086","layer":2},{"info":"number node, value=5542","layer":4},{"info":"compute unary expreesion, input=5542, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2652086, 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 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":0}],"base":3,"result_base":3,"text":"↩(⫏≰2001102⩠)⨰(⫏≰1222212*⫏≰2111120)↺(⋗⩬⋾(⫏≰21121021⊪))=⫏≰20122102","reverse_text":"⫏≰20122102=↩(⫏≰2001102⩠)⨰(⫏≰1222212*⫏≰2111120)↺(⋗⩬⋾(⫏≰21121021⊪))","cot":[{"info":"⫏≰2001102⩠=⫏≰0","layer":3},{"info":"⫏≰1222212*⫏≰2111120=⫏≰11222201222210","layer":3},{"info":"⫏≰0⨰⫏≰11222201222210=⫏≰-11222201222102","layer":2},{"info":"⫏≰21121021⊪=⫏≰0","layer":3},{"info":"⋗⩬⋾⫏≰0=⫏≰0","layer":2},{"info":"⫏≰-11222201222102↺⫏≰0=⫏≰0","layer":1},{"info":"↩⫏≰0=⫏≰20122102","layer":0}]}
{"id":61,"expression_no_base_symbol":"(($1091$⫡⨏$8064$)⪄$1089$↺$7527$)⪛(($3657$%$1107$)⨳⩥⨓($1706$⪨≂$1868$))⫥∨⫟($1160$∑⇟⊟$1800$⩤)⩷∴(∂($3123$⋷$1066$))","expression":"((⫏≰1111102⫡⨏⫏≰102001200)⪄⫏≰1111100↺⫏≰101022210)⪛((⫏≰12000110%⫏≰1112000)⨳⩥⨓(⫏≰2100012⪨≂⫏≰2120012))⫥∨⫟(⫏≰1120222∑⇟⊟⫏≰2110200⩤)⩷∴(∂(⫏≰11021200⋷⫏≰1110111))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6679,"operation_count":13,"complexity_ratio":513.7692307692307,"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":1091,"base":3},"right_expr":{"type":"numeric_atoms","value":8064,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1089,"base":3},"right_expr":{"type":"numeric_atoms","value":7527,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3657,"base":3},"right_expr":{"type":"numeric_atoms","value":1107,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1706,"base":3},"right_expr":{"type":"numeric_atoms","value":1868,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1160,"base":3},"right_expr":{"type":"numeric_atoms","value":1800,"base":3}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3123,"base":3},"right_expr":{"type":"numeric_atoms","value":1066,"base":3}}}}},"used_operators":["KYD54nUTWz","uFcxV4UQCh","SUmda5xLS4","QMFrweE19q","7j4O788W3g","nCS4ZIUYfx","k8jYdgA6NY","sdazOOVcIp","9FxExcQeMw","Z2TMIBDE3Q","U7g4x0WXJJ","Uaa54Peajs","23Mk6UjR3U"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1091","layer":4},{"info":"number node, value=8064","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=8064, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22366","layer":3},{"info":"number node, value=1089","layer":4},{"info":"number node, value=7527","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=7527, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7527","layer":3},{"info":"compute binary expreesion, left_input=22366, right_input=7527, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-3336365","layer":2},{"info":"number node, value=3657","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=3657, right_input=1107, op_id = k8jYdgA6NY binary_op_definition= 'None', output=336","layer":3},{"info":"number node, value=1706","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=1868, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-222","layer":3},{"info":"compute binary expreesion, left_input=336, right_input=-222, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-558","layer":2},{"info":"compute binary expreesion, left_input=-3336365, right_input=-558, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-83","layer":1},{"info":"number node, value=1160","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=1800, 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":"number node, value=3123","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=1066, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-991","layer":3},{"info":"compute unary expreesion, input=-991, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=727","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=727, 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=-83, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1111102⫡⨏⫏≰102001200)⪄⫏≰1111100↺⫏≰101022210)⪛((⫏≰12000110%⫏≰1112000)⨳⩥⨓(⫏≰2100012⪨≂⫏≰2120012))⫥∨⫟(⫏≰1120222∑⇟⊟⫏≰2110200⩤)⩷∴(∂(⫏≰11021200⋷⫏≰1110111))=NaN","reverse_text":"NaN=((⫏≰1111102⫡⨏⫏≰102001200)⪄⫏≰1111100↺⫏≰101022210)⪛((⫏≰12000110%⫏≰1112000)⨳⩥⨓(⫏≰2100012⪨≂⫏≰2120012))⫥∨⫟(⫏≰1120222∑⇟⊟⫏≰2110200⩤)⩷∴(∂(⫏≰11021200⋷⫏≰1110111))","cot":[{"info":"⫏≰1111102⫡⨏⫏≰102001200=⫏≰1010200101","layer":3},{"info":"⫏≰1111100↺⫏≰101022210=⫏≰101022210","layer":3},{"info":"⫏≰1010200101⪄⫏≰101022210=⫏≰-20021111122002","layer":2},{"info":"⫏≰12000110%⫏≰1112000=⫏≰110110","layer":3},{"info":"⫏≰2100012⪨≂⫏≰2120012=⫏≰-22020","layer":3},{"info":"⫏≰110110⨳⩥⨓⫏≰-22020=⫏≰-202200","layer":2},{"info":"⫏≰-20021111122002⪛⫏≰-202200=⫏≰-10002","layer":1},{"info":"⫏≰1120222∑⇟⊟⫏≰2110200=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"⫏≰11021200⋷⫏≰1110111=⫏≰-1100201","layer":3},{"info":"∂⫏≰-1100201=⫏≰222221","layer":2},{"info":"NaN⩷∴⫏≰222221=NaN","layer":1},{"info":"⫏≰-10002⫥∨⫟NaN=NaN","layer":0}]}
{"id":62,"expression_no_base_symbol":"($3299$⊴$3971$+⇶⊼($5321$⨐⩸⫘$2716$))⪢(($4076$⊦⊿)⪛$1337$⨟⋌⩍$1802$)⊉≛↸(($1698$⪨≂$3262$)⨓($2092$⨓$4472$)-((≦∁$1007$)⪨≂(↥$6783$)))","expression":"(⫏≰11112012⊴⫏≰12110002+⇶⊼(⫏≰21022002⨐⩸⫘⫏≰10201121))⪢((⫏≰12120222⊦⊿)⪛⫏≰1211112⨟⋌⩍⫏≰2110202)⊉≛↸((⫏≰2022220⪨≂⫏≰11110211)⨓(⫏≰2212111⨓⫏≰20010122)-((≦∁⫏≰1101022)⪨≂(↥⫏≰100022020)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13097,"operation_count":15,"complexity_ratio":873.1333333333333,"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":3299,"base":3},"right_expr":{"type":"numeric_atoms","value":3971,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5321,"base":3},"right_expr":{"type":"numeric_atoms","value":2716,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4076,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1337,"base":3},"right_expr":{"type":"numeric_atoms","value":1802,"base":3}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1698,"base":3},"right_expr":{"type":"numeric_atoms","value":3262,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2092,"base":3},"right_expr":{"type":"numeric_atoms","value":4472,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1007,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6783,"base":3}}}}},"used_operators":["DZ8iAZOCBD","dWAJyo7jo9","TpPTUOHfaN","Nsiff2A1zJ","fu6greOZ01","uFcxV4UQCh","14qkJME0vr","rGHVDoGpnC","rysDP5nf3Z","3ViojmjbAp","sdazOOVcIp","9ICcGScMcE","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3299","layer":4},{"info":"number node, value=3971","layer":4},{"info":"compute binary expreesion, left_input=3299, right_input=3971, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5321","layer":4},{"info":"number node, value=2716","layer":4},{"info":"compute binary expreesion, left_input=5321, right_input=2716, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4076","layer":4},{"info":"compute unary expreesion, input=4076, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12307","layer":3},{"info":"number node, value=1337","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=1802, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-12307, 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=1698","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=3262, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3026","layer":3},{"info":"number node, value=2092","layer":4},{"info":"number node, value=4472","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=4472, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4475","layer":3},{"info":"compute binary expreesion, left_input=-3026, right_input=-4475, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4478","layer":2},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1007","layer":3},{"info":"number node, value=6783","layer":4},{"info":"compute unary expreesion, input=6783, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1007, 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=2116","layer":2},{"info":"compute binary expreesion, left_input=-4478, right_input=2116, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6594","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6594, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11112012⊴⫏≰12110002+⇶⊼(⫏≰21022002⨐⩸⫘⫏≰10201121))⪢((⫏≰12120222⊦⊿)⪛⫏≰1211112⨟⋌⩍⫏≰2110202)⊉≛↸((⫏≰2022220⪨≂⫏≰11110211)⨓(⫏≰2212111⨓⫏≰20010122)-((≦∁⫏≰1101022)⪨≂(↥⫏≰100022020)))=NaN","reverse_text":"NaN=(⫏≰11112012⊴⫏≰12110002+⇶⊼(⫏≰21022002⨐⩸⫘⫏≰10201121))⪢((⫏≰12120222⊦⊿)⪛⫏≰1211112⨟⋌⩍⫏≰2110202)⊉≛↸((⫏≰2022220⪨≂⫏≰11110211)⨓(⫏≰2212111⨓⫏≰20010122)-((≦∁⫏≰1101022)⪨≂(↥⫏≰100022020)))","cot":[{"info":"⫏≰11112012⊴⫏≰12110002=NaN","layer":3},{"info":"⫏≰21022002⨐⩸⫘⫏≰10201121=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"⫏≰12120222⊦⊿=⫏≰-121212211","layer":3},{"info":"⫏≰1211112⨟⋌⩍⫏≰2110202=NaN","layer":3},{"info":"⫏≰-121212211⪛NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⫏≰2022220⪨≂⫏≰11110211=⫏≰-11011002","layer":3},{"info":"⫏≰2212111⨓⫏≰20010122=⫏≰-20010202","layer":3},{"info":"⫏≰-11011002⨓⫏≰-20010202=⫏≰-20010212","layer":2},{"info":"≦∁⫏≰1101022=⫏≰1101022","layer":3},{"info":"↥⫏≰100022020=⫏≰0","layer":3},{"info":"⫏≰1101022⪨≂⫏≰0=⫏≰2220101","layer":2},{"info":"⫏≰-20010212-⫏≰2220101=⫏≰-100001020","layer":1},{"info":"NaN⊉≛↸⫏≰-100001020=NaN","layer":0}]}
{"id":63,"expression_no_base_symbol":"(↔(↽≂$1484$))⋥≓≎($8531$∑⇟⊟$1669$⨸⪁($5658$⩨$3449$))↛⩡⫤","expression":"(↔(↽≂⫏≰2000222))⋥≓≎(⫏≰102200222∑⇟⊟⫏≰2021211⨸⪁(⫏≰21202120⩨⫏≰11201202))↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":100,"operation_count":7,"complexity_ratio":14.285714285714286,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1484,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8531,"base":3},"right_expr":{"type":"numeric_atoms","value":1669,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5658,"base":3},"right_expr":{"type":"numeric_atoms","value":3449,"base":3}}}}},"used_operators":["FU0Cs4j7VP","Qy55tPpLXF","ruOEQAzv1W","u6S6b8DprG","g55IO6H4Gj","U7g4x0WXJJ","2DlMacCsIx"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1484","layer":4},{"info":"compute unary expreesion, input=1484, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2968","layer":3},{"info":"compute unary expreesion, input=-2968, 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=8531","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=8531, 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=5658","layer":4},{"info":"number node, value=3449","layer":4},{"info":"compute binary expreesion, left_input=5658, right_input=3449, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, 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 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":3,"result_base":3,"text":"(↔(↽≂⫏≰2000222))⋥≓≎(⫏≰102200222∑⇟⊟⫏≰2021211⨸⪁(⫏≰21202120⩨⫏≰11201202))↛⩡⫤=NaN","reverse_text":"NaN=(↔(↽≂⫏≰2000222))⋥≓≎(⫏≰102200222∑⇟⊟⫏≰2021211⨸⪁(⫏≰21202120⩨⫏≰11201202))↛⩡⫤","cot":[{"info":"↽≂⫏≰2000222=⫏≰-11001221","layer":3},{"info":"↔⫏≰-11001221=⫏≰-11222","layer":2},{"info":"⫏≰102200222∑⇟⊟⫏≰2021211=NaN","layer":3},{"info":"⫏≰21202120⩨⫏≰11201202=⫏≰0","layer":3},{"info":"NaN⨸⪁⫏≰0=NaN","layer":2},{"info":"⫏≰-11222⋥≓≎NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":64,"expression_no_base_symbol":"(($1590$⋝⋈⪟$6675$)∑⇟⊟$5826$⨪↰⇹$2221$⪠⩆⊳)⪛($4094$↬$2875$%$1127$⨐⩸⫘$5619$)⊴(($1772$⨳⩥⨓$7572$)⋳⪒(↥$2618$))","expression":"((⫏≰2011220⋝⋈⪟⫏≰100011020)∑⇟⊟⫏≰21222210⨪↰⇹⫏≰10001021⪠⩆⊳)⪛(⫏≰12121122↬⫏≰10221111%⫏≰1112202⨐⩸⫘⫏≰21201010)⊴((⫏≰2102122⨳⩥⨓⫏≰101101110)⋳⪒(↥⫏≰10120222))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17206,"operation_count":12,"complexity_ratio":1433.8333333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1590,"base":3},"right_expr":{"type":"numeric_atoms","value":6675,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5826,"base":3},"right_expr":{"type":"numeric_atoms","value":2221,"base":3}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4094,"base":3},"right_expr":{"type":"numeric_atoms","value":2875,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1127,"base":3},"right_expr":{"type":"numeric_atoms","value":5619,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1772,"base":3},"right_expr":{"type":"numeric_atoms","value":7572,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2618,"base":3}}}}},"used_operators":["uFcxV4UQCh","JLbD19bQDL","U7g4x0WXJJ","2DDjHMKMc0","tmPS8pqC7x","Nsiff2A1zJ","k8jYdgA6NY","B5M0gjZbta","fu6greOZ01","12rbrZMWeM","nCS4ZIUYfx","A8NUZmVepG"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rGHVDoGpnC","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1590","layer":4},{"info":"number node, value=6675","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=6675, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1590","layer":3},{"info":"number node, value=5826","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=5826, right_input=2221, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5826","layer":3},{"info":"compute binary expreesion, left_input=1590, right_input=5826, 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":"number node, value=4094","layer":4},{"info":"number node, value=2875","layer":4},{"info":"compute binary expreesion, left_input=4094, right_input=2875, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1127","layer":4},{"info":"number node, value=5619","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=5619, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":"number node, value=1772","layer":4},{"info":"number node, value=7572","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=7572, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5800","layer":3},{"info":"number node, value=2618","layer":4},{"info":"compute unary expreesion, input=2618, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":3},{"info":"compute binary expreesion, left_input=5800, right_input=17, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11296","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11296, 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":3,"result_base":3,"text":"((⫏≰2011220⋝⋈⪟⫏≰100011020)∑⇟⊟⫏≰21222210⨪↰⇹⫏≰10001021⪠⩆⊳)⪛(⫏≰12121122↬⫏≰10221111%⫏≰1112202⨐⩸⫘⫏≰21201010)⊴((⫏≰2102122⨳⩥⨓⫏≰101101110)⋳⪒(↥⫏≰10120222))=NaN","reverse_text":"NaN=((⫏≰2011220⋝⋈⪟⫏≰100011020)∑⇟⊟⫏≰21222210⨪↰⇹⫏≰10001021⪠⩆⊳)⪛(⫏≰12121122↬⫏≰10221111%⫏≰1112202⨐⩸⫘⫏≰21201010)⊴((⫏≰2102122⨳⩥⨓⫏≰101101110)⋳⪒(↥⫏≰10120222))","cot":[{"info":"⫏≰2011220⋝⋈⪟⫏≰100011020=⫏≰2011220","layer":3},{"info":"⫏≰21222210⨪↰⇹⫏≰10001021=⫏≰21222210","layer":3},{"info":"⫏≰2011220∑⇟⊟⫏≰21222210=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⫏≰12121122↬⫏≰10221111=NaN","layer":3},{"info":"⫏≰1112202⨐⩸⫘⫏≰21201010=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"⫏≰2102122⨳⩥⨓⫏≰101101110=⫏≰21221211","layer":3},{"info":"↥⫏≰10120222=⫏≰122","layer":3},{"info":"⫏≰21221211⋳⪒⫏≰122=⫏≰120111101","layer":2},{"info":"NaN⊴⫏≰120111101=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":65,"expression_no_base_symbol":"(($2286$⪨≂$5340$)⋥≓≎($1366$↪⪝))⨟⋌⩍(⊄⩳↩(⪲⇎$1688$))∑⇟⊟((⨵≀≌$2087$⨽$1458$)⪠⩆⊳)","expression":"((⫏≰10010200⪨≂⫏≰21022210)⋥≓≎(⫏≰1212121↪⪝))⨟⋌⩍(⊄⩳↩(⪲⇎⫏≰2022112))∑⇟⊟((⨵≀≌⫏≰2212022⨽⫏≰2000000)⪠⩆⊳)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13072588,"operation_count":10,"complexity_ratio":1307258.8,"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":2286,"base":3},"right_expr":{"type":"numeric_atoms","value":5340,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1366,"base":3}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1688,"base":3}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2087,"base":3},"right_expr":{"type":"numeric_atoms","value":1458,"base":3}}}}},"used_operators":["U7g4x0WXJJ","rGHVDoGpnC","Qy55tPpLXF","sdazOOVcIp","l07mrZUIn9","8w2t5hMYqp","XPYlsWDdGa","JLbD19bQDL","srAu1WTS94","8HhzD0ZcuI"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2286","layer":4},{"info":"number node, value=5340","layer":4},{"info":"compute binary expreesion, left_input=2286, 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=-6006","layer":3},{"info":"number node, value=1366","layer":4},{"info":"compute unary expreesion, input=1366, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=83574612","layer":3},{"info":"compute binary expreesion, left_input=-6006, right_input=83574612, 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=1688","layer":4},{"info":"compute unary expreesion, input=1688, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3376","layer":3},{"info":"compute unary expreesion, input=3376, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10128","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-10128, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=2087","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=2087, right_input=1458, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13069767","layer":3},{"info":"compute unary expreesion, input=-13069767, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10010200⪨≂⫏≰21022210)⋥≓≎(⫏≰1212121↪⪝))⨟⋌⩍(⊄⩳↩(⪲⇎⫏≰2022112))∑⇟⊟((⨵≀≌⫏≰2212022⨽⫏≰2000000)⪠⩆⊳)=NaN","reverse_text":"NaN=((⫏≰10010200⪨≂⫏≰21022210)⋥≓≎(⫏≰1212121↪⪝))⨟⋌⩍(⊄⩳↩(⪲⇎⫏≰2022112))∑⇟⊟((⨵≀≌⫏≰2212022⨽⫏≰2000000)⪠⩆⊳)","cot":[{"info":"⫏≰10010200⪨≂⫏≰21022210=⫏≰-22020110","layer":3},{"info":"⫏≰1212121↪⪝=⫏≰12211021000211000","layer":3},{"info":"⫏≰-22020110⋥≓≎⫏≰12211021000211000=⫏≰2111","layer":2},{"info":"⪲⇎⫏≰2022112=⫏≰11122001","layer":3},{"info":"⊄⩳↩⫏≰11122001=⫏≰-111220010","layer":2},{"info":"⫏≰2111⨟⋌⩍⫏≰-111220010=NaN","layer":1},{"info":"⫏≰2212022⨽⫏≰2000000=⫏≰-220121000100110","layer":3},{"info":"⨵≀≌⫏≰-220121000100110=Inf","layer":2},{"info":"Inf⪠⩆⊳=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":66,"expression_no_base_symbol":"(↩(($1948$⫡⨏$2410$)∧))⨳⩥⨓(($3166$≣⋋)⊉≛↸(∂$5661$))⊴(($3532$⫡⨏$3129$)⋓(⫛⫱⨽$2649$))","expression":"(↩((⫏≰2200011⫡⨏⫏≰10022021)∧))⨳⩥⨓((⫏≰11100021≣⋋)⊉≛↸(∂⫏≰21202200))⊴((⫏≰11211211⫡⨏⫏≰11021220)⋓(⫛⫱⨽⫏≰10122010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2001,"operation_count":11,"complexity_ratio":181.9090909090909,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1948,"base":3},"right_expr":{"type":"numeric_atoms","value":2410,"base":3}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3166,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5661,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3532,"base":3},"right_expr":{"type":"numeric_atoms","value":3129,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2649,"base":3}}}}},"used_operators":["nCS4ZIUYfx","jLgFTUHLKL","z63VuFQld9","QMFrweE19q","Nsiff2A1zJ","DZ8iAZOCBD","Tcnh7f0tEr","Uaa54Peajs","T2fj7uvVaJ","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1948","layer":4},{"info":"number node, value=2410","layer":4},{"info":"compute binary expreesion, left_input=1948, right_input=2410, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15343","layer":3},{"info":"compute unary expreesion, input=15343, 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 = 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=3166","layer":4},{"info":"compute unary expreesion, input=3166, 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=5661","layer":4},{"info":"compute unary expreesion, input=5661, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"number node, value=3532","layer":4},{"info":"number node, value=3129","layer":4},{"info":"compute binary expreesion, left_input=3532, right_input=3129, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24701","layer":3},{"info":"number node, value=2649","layer":4},{"info":"compute unary expreesion, input=2649, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=24701, 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=0, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-79, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↩((⫏≰2200011⫡⨏⫏≰10022021)∧))⨳⩥⨓((⫏≰11100021≣⋋)⊉≛↸(∂⫏≰21202200))⊴((⫏≰11211211⫡⨏⫏≰11021220)⋓(⫛⫱⨽⫏≰10122010))=NaN","reverse_text":"NaN=(↩((⫏≰2200011⫡⨏⫏≰10022021)∧))⨳⩥⨓((⫏≰11100021≣⋋)⊉≛↸(∂⫏≰21202200))⊴((⫏≰11211211⫡⨏⫏≰11021220)⋓(⫛⫱⨽⫏≰10122010))","cot":[{"info":"⫏≰2200011⫡⨏⫏≰10022021=⫏≰210001021","layer":3},{"info":"⫏≰210001021∧=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"⫏≰11100021≣⋋=⫏≰0","layer":3},{"info":"∂⫏≰21202200=NaN","layer":3},{"info":"⫏≰0⊉≛↸NaN=⫏≰0","layer":2},{"info":"⫏≰11211211⫡⨏⫏≰11021220=⫏≰1020212212","layer":3},{"info":"⫛⫱⨽⫏≰10122010=⫏≰0","layer":3},{"info":"⫏≰1020212212⋓⫏≰0=⫏≰0","layer":2},{"info":"⫏≰0⊴⫏≰0=⫏≰-2221","layer":1},{"info":"NaN⨳⩥⨓⫏≰-2221=NaN","layer":0}]}
{"id":67,"expression_no_base_symbol":"(⪝⪂⫅((+⊝⨔$2770$)*$6180$⪄$2393$))≧⫂∧(⫛⫱⨽($4583$≭$2834$∲⫓($1734$⨵⪆$4327$)))","expression":"(⪝⪂⫅((+⊝⨔⫏≰10210121)*⫏≰22110220⪄⫏≰10021122))≧⫂∧(⫛⫱⨽(⫏≰20021202≭⫏≰10212222∲⫓(⫏≰2101020⨵⪆⫏≰12221021)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2723,"operation_count":9,"complexity_ratio":302.55555555555554,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2770,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6180,"base":3},"right_expr":{"type":"numeric_atoms","value":2393,"base":3}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4583,"base":3},"right_expr":{"type":"numeric_atoms","value":2834,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1734,"base":3},"right_expr":{"type":"numeric_atoms","value":4327,"base":3}}}}},"used_operators":["Ph9nP6C5qx","XTarYq4gQB","9HNa5Wba9A","DhbWaqg5eL","SUmda5xLS4","DlLNRPXxWL","i8ToyICDmI","rxpJgHHUmx","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2770","layer":4},{"info":"compute unary expreesion, input=2770, 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=6180","layer":4},{"info":"number node, value=2393","layer":4},{"info":"compute binary expreesion, left_input=6180, right_input=2393, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-920301","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-920301, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1400698122","layer":2},{"info":"compute unary expreesion, input=-1400698122, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=inf","layer":1},{"info":"number node, value=4583","layer":4},{"info":"number node, value=2834","layer":4},{"info":"compute binary expreesion, left_input=4583, right_input=2834, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1734","layer":4},{"info":"number node, value=4327","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=4327, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⪝⪂⫅((+⊝⨔⫏≰10210121)*⫏≰22110220⪄⫏≰10021122))≧⫂∧(⫛⫱⨽(⫏≰20021202≭⫏≰10212222∲⫓(⫏≰2101020⨵⪆⫏≰12221021)))=NaN","reverse_text":"NaN=(⪝⪂⫅((+⊝⨔⫏≰10210121)*⫏≰22110220⪄⫏≰10021122))≧⫂∧(⫛⫱⨽(⫏≰20021202≭⫏≰10212222∲⫓(⫏≰2101020⨵⪆⫏≰12221021)))","cot":[{"info":"+⊝⨔⫏≰10210121=⫏≰2002101","layer":3},{"info":"⫏≰22110220⪄⫏≰10021122=⫏≰-1201202102020","layer":3},{"info":"⫏≰2002101*⫏≰-1201202102020=⫏≰-10121121122211121020","layer":2},{"info":"⪝⪂⫅⫏≰-10121121122211121020=Inf","layer":1},{"info":"⫏≰20021202≭⫏≰10212222=NaN","layer":3},{"info":"⫏≰2101020⨵⪆⫏≰12221021=⫏≰12221","layer":3},{"info":"NaN∲⫓⫏≰12221=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"Inf≧⫂∧NaN=NaN","layer":0}]}
{"id":68,"expression_no_base_symbol":"↣≠⋷((-$1376$)∑⇟⊟$4597$⪢$3259$⩷∴(⨑⩽⪐$1088$⨓$2427$))","expression":"↣≠⋷((-⫏≰1212222)∑⇟⊟⫏≰20022021⪢⫏≰11110201⩷∴(⨑⩽⪐⫏≰1111022⨓⫏≰10022220))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14263,"operation_count":7,"complexity_ratio":2037.5714285714287,"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":1376,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4597,"base":3},"right_expr":{"type":"numeric_atoms","value":3259,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1088,"base":3},"right_expr":{"type":"numeric_atoms","value":2427,"base":3}}}}},"used_operators":["Asc51vEJeQ","9FxExcQeMw","U7g4x0WXJJ","t8gj7n24qd","dWAJyo7jo9","AF7qkfDlqP","3ViojmjbAp"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1376","layer":4},{"info":"compute unary expreesion, input=1376, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1376","layer":3},{"info":"number node, value=4597","layer":4},{"info":"number node, value=3259","layer":4},{"info":"compute binary expreesion, left_input=4597, right_input=3259, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-1376, 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=1088","layer":4},{"info":"number node, value=2427","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=2427, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2430","layer":3},{"info":"compute unary expreesion, input=-2430, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=5649, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↣≠⋷((-⫏≰1212222)∑⇟⊟⫏≰20022021⪢⫏≰11110201⩷∴(⨑⩽⪐⫏≰1111022⨓⫏≰10022220))=NaN","reverse_text":"NaN=↣≠⋷((-⫏≰1212222)∑⇟⊟⫏≰20022021⪢⫏≰11110201⩷∴(⨑⩽⪐⫏≰1111022⨓⫏≰10022220))","cot":[{"info":"-⫏≰1212222=⫏≰-1212222","layer":3},{"info":"⫏≰20022021⪢⫏≰11110201=NaN","layer":3},{"info":"⫏≰-1212222∑⇟⊟NaN=NaN","layer":2},{"info":"⫏≰1111022⨓⫏≰10022220=⫏≰-10100000","layer":3},{"info":"⨑⩽⪐⫏≰-10100000=⫏≰21202020","layer":2},{"info":"NaN⩷∴⫏≰21202020=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":69,"expression_no_base_symbol":"(($2583$⪠⩆⊳)∀⇚≩(↽≂$3678$)⊦⊿)∑⇟⊟(((⨞⊢$6068$)⩠)*$4751$⋝⋈⪟$2162$⋳⪒($3117$⪒$1992$))","expression":"((⫏≰10112200⪠⩆⊳)∀⇚≩(↽≂⫏≰12001020)⊦⊿)∑⇟⊟(((⨞⊢⫏≰22022202)⩠)*⫏≰20111222⋝⋈⪟⫏≰2222002⋳⪒(⫏≰11021110⪒⫏≰2201210))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14373,"operation_count":11,"complexity_ratio":1306.6363636363637,"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":2583,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3678,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6068,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4751,"base":3},"right_expr":{"type":"numeric_atoms","value":2162,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3117,"base":3},"right_expr":{"type":"numeric_atoms","value":1992,"base":3}}}}},"used_operators":["U7g4x0WXJJ","14qkJME0vr","LRNGc0VcxI","JLbD19bQDL","u6S6b8DprG","9HNa5Wba9A","sJAwomhLZr","xUOZtlo3hN","12rbrZMWeM","2DDjHMKMc0","f6k1SAg4EE"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2583","layer":4},{"info":"compute unary expreesion, input=2583, 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=3678","layer":4},{"info":"compute unary expreesion, input=3678, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7356","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7356, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-7356","layer":2},{"info":"compute unary expreesion, input=-7356, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=21989","layer":1},{"info":"number node, value=6068","layer":4},{"info":"compute unary expreesion, input=6068, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6242","layer":3},{"info":"compute unary expreesion, input=-6242, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=25177","layer":2},{"info":"number node, value=4751","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=4751, right_input=2162, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4751","layer":3},{"info":"number node, value=3117","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=3117, right_input=1992, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5109","layer":3},{"info":"compute binary expreesion, left_input=4751, right_input=-5109, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=14324","layer":2},{"info":"compute binary expreesion, left_input=25177, right_input=14324, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=360635348","layer":1},{"info":"compute binary expreesion, left_input=21989, right_input=360635348, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10112200⪠⩆⊳)∀⇚≩(↽≂⫏≰12001020)⊦⊿)∑⇟⊟(((⨞⊢⫏≰22022202)⩠)*⫏≰20111222⋝⋈⪟⫏≰2222002⋳⪒(⫏≰11021110⪒⫏≰2201210))=NaN","reverse_text":"NaN=((⫏≰10112200⪠⩆⊳)∀⇚≩(↽≂⫏≰12001020)⊦⊿)∑⇟⊟(((⨞⊢⫏≰22022202)⩠)*⫏≰20111222⋝⋈⪟⫏≰2222002⋳⪒(⫏≰11021110⪒⫏≰2201210))","cot":[{"info":"⫏≰10112200⪠⩆⊳=⫏≰0","layer":3},{"info":"↽≂⫏≰12001020=⫏≰-101002110","layer":3},{"info":"⫏≰0∀⇚≩⫏≰-101002110=⫏≰-101002110","layer":2},{"info":"⫏≰-101002110⊦⊿=⫏≰1010011102","layer":1},{"info":"⨞⊢⫏≰22022202=⫏≰-22120012","layer":3},{"info":"⫏≰-22120012⩠=⫏≰1021112111","layer":2},{"info":"⫏≰20111222⋝⋈⪟⫏≰2222002=⫏≰20111222","layer":3},{"info":"⫏≰11021110⪒⫏≰2201210=⫏≰-21000020","layer":3},{"info":"⫏≰20111222⋳⪒⫏≰-21000020=⫏≰201122112","layer":2},{"info":"⫏≰1021112111*⫏≰201122112=⫏≰221010121011200202","layer":1},{"info":"⫏≰1010011102∑⇟⊟⫏≰221010121011200202=NaN","layer":0}]}
{"id":70,"expression_no_base_symbol":"$1525$≎⊠⪸$1988$+⇶⊼($2401$%$1244$)↺($1791$≹⇙⪍$1455$∸)⪨≂((+⊝⨔$4114$)⨎(⋗⩬⋾$1147$))≧⫂∧(($7735$⩨$2604$)⫥∨⫟($1132$≣⋋))","expression":"⫏≰2002111≎⊠⪸⫏≰2201122+⇶⊼(⫏≰10021221%⫏≰1201002)↺(⫏≰2110100≹⇙⪍⫏≰1222220∸)⪨≂((+⊝⨔⫏≰12122101)⨎(⋗⩬⋾⫏≰1120111))≧⫂∧((⫏≰101121111⩨⫏≰10120110)⫥∨⫟(⫏≰1112221≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1174,"operation_count":14,"complexity_ratio":83.85714285714286,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1525,"base":3},"right_expr":{"type":"numeric_atoms","value":1988,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2401,"base":3},"right_expr":{"type":"numeric_atoms","value":1244,"base":3}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1791,"base":3},"right_expr":{"type":"numeric_atoms","value":1455,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4114,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1147,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7735,"base":3},"right_expr":{"type":"numeric_atoms","value":2604,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1132,"base":3}}}}},"used_operators":["sdazOOVcIp","7j4O788W3g","TpPTUOHfaN","bJkvcejdHO","k8jYdgA6NY","o20kRiQErp","AHs5Up7iyr","Ph9nP6C5qx","rJVOvQCfKK","DhbWaqg5eL","DpFCA1CohY","KYD54nUTWz","2DlMacCsIx","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","tmPS8pqC7x","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1525","layer":4},{"info":"number node, value=1988","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=1988, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=394502","layer":3},{"info":"number node, value=2401","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=1244, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1157","layer":3},{"info":"compute binary expreesion, left_input=394502, right_input=1157, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1791","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=1455, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"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":1},{"info":"number node, value=4114","layer":4},{"info":"compute unary expreesion, input=4114, 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=1147","layer":4},{"info":"compute unary expreesion, input=1147, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3441","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-3441, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3441","layer":2},{"info":"number node, value=7735","layer":4},{"info":"number node, value=2604","layer":4},{"info":"compute binary expreesion, left_input=7735, right_input=2604, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3441, 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=177, 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":3,"result_base":3,"text":"⫏≰2002111≎⊠⪸⫏≰2201122+⇶⊼(⫏≰10021221%⫏≰1201002)↺(⫏≰2110100≹⇙⪍⫏≰1222220∸)⪨≂((+⊝⨔⫏≰12122101)⨎(⋗⩬⋾⫏≰1120111))≧⫂∧((⫏≰101121111⩨⫏≰10120110)⫥∨⫟(⫏≰1112221≣⋋))=NaN","reverse_text":"NaN=⫏≰2002111≎⊠⪸⫏≰2201122+⇶⊼(⫏≰10021221%⫏≰1201002)↺(⫏≰2110100≹⇙⪍⫏≰1222220∸)⪨≂((+⊝⨔⫏≰12122101)⨎(⋗⩬⋾⫏≰1120111))≧⫂∧((⫏≰101121111⩨⫏≰10120110)⫥∨⫟(⫏≰1112221≣⋋))","cot":[{"info":"⫏≰2002111≎⊠⪸⫏≰2201122=⫏≰202001011012","layer":3},{"info":"⫏≰10021221%⫏≰1201002=⫏≰1120212","layer":3},{"info":"⫏≰202001011012+⇶⊼⫏≰1120212=NaN","layer":2},{"info":"⫏≰2110100≹⇙⪍⫏≰1222220=NaN","layer":3},{"info":"NaN∸=⫏≰20120","layer":2},{"info":"NaN↺⫏≰20120=⫏≰20120","layer":1},{"info":"+⊝⨔⫏≰12122101=⫏≰2002101","layer":3},{"info":"⋗⩬⋾⫏≰1120111=⫏≰-11201110","layer":3},{"info":"⫏≰2002101⨎⫏≰-11201110=⫏≰-11201110","layer":2},{"info":"⫏≰101121111⩨⫏≰10120110=⫏≰0","layer":3},{"info":"⫏≰1112221≣⋋=⫏≰0","layer":3},{"info":"⫏≰0⫥∨⫟⫏≰0=NaN","layer":2},{"info":"⫏≰-11201110≧⫂∧NaN=NaN","layer":1},{"info":"⫏≰20120⪨≂NaN=NaN","layer":0}]}
{"id":71,"expression_no_base_symbol":"∂(($1809$⫸⊐$2160$)⩷∴($1073$≋⫹)⪒(($1275$↺$4968$)≫≃))","expression":"∂((⫏≰2111000⫸⊐⫏≰2222000)⩷∴(⫏≰1110202≋⫹)⪒((⫏≰1202020↺⫏≰20211000)≫≃))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":462,"operation_count":7,"complexity_ratio":66.0,"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":1809,"base":3},"right_expr":{"type":"numeric_atoms","value":2160,"base":3}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1073,"base":3}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1275,"base":3},"right_expr":{"type":"numeric_atoms","value":4968,"base":3}}}}},"used_operators":["Uaa54Peajs","f6k1SAg4EE","9FxExcQeMw","mqXw5SEYmG","N41Kp7NANJ","X99M06cbEe","7j4O788W3g"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰1122101122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1809","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=2160, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8515","layer":3},{"info":"number node, value=1073","layer":4},{"info":"compute unary expreesion, input=1073, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2146","layer":3},{"info":"compute binary expreesion, left_input=8515, right_input=-2146, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=21290","layer":2},{"info":"number node, value=1275","layer":4},{"info":"number node, value=4968","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=4968, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4968","layer":3},{"info":"compute unary expreesion, input=4968, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11337","layer":2},{"info":"compute binary expreesion, left_input=21290, right_input=11337, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-32627","layer":1},{"info":"compute unary expreesion, input=-32627, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=32363","layer":0}],"base":3,"result_base":3,"text":"∂((⫏≰2111000⫸⊐⫏≰2222000)⩷∴(⫏≰1110202≋⫹)⪒((⫏≰1202020↺⫏≰20211000)≫≃))=⫏≰1122101122","reverse_text":"⫏≰1122101122=∂((⫏≰2111000⫸⊐⫏≰2222000)⩷∴(⫏≰1110202≋⫹)⪒((⫏≰1202020↺⫏≰20211000)≫≃))","cot":[{"info":"⫏≰2111000⫸⊐⫏≰2222000=⫏≰102200101","layer":3},{"info":"⫏≰1110202≋⫹=⫏≰-2221111","layer":3},{"info":"⫏≰102200101⩷∴⫏≰-2221111=⫏≰1002012112","layer":2},{"info":"⫏≰1202020↺⫏≰20211000=⫏≰20211000","layer":3},{"info":"⫏≰20211000≫≃=⫏≰120112220","layer":2},{"info":"⫏≰1002012112⪒⫏≰120112220=⫏≰-1122202102","layer":1},{"info":"∂⫏≰-1122202102=⫏≰1122101122","layer":0}]}
{"id":72,"expression_no_base_symbol":"(⊙↵-(⊥($1849$∲⫓$1715$)))⫥∨⫟($1176$↬$1237$⩨$1181$⨎$1222$)⪢(($2312$⫥∨⫟$4866$)⩤)","expression":"(⊙↵-(⊥(⫏≰2112111∲⫓⫏≰2100112)))⫥∨⫟(⫏≰1121120↬⫏≰1200211⩨⫏≰1121202⨎⫏≰1200021)⪢((⫏≰10011122⫥∨⫟⫏≰20200020)⩤)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":346,"operation_count":10,"complexity_ratio":34.6,"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":1849,"base":3},"right_expr":{"type":"numeric_atoms","value":1715,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1176,"base":3},"right_expr":{"type":"numeric_atoms","value":1237,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1181,"base":3},"right_expr":{"type":"numeric_atoms","value":1222,"base":3}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2312,"base":3},"right_expr":{"type":"numeric_atoms","value":4866,"base":3}}}}},"used_operators":["KYD54nUTWz","oWn0xqSxBt","Q3PJZHRvZv","i8ToyICDmI","dWAJyo7jo9","2DlMacCsIx","B5M0gjZbta","rJVOvQCfKK","Z2TMIBDE3Q"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1849","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=1849, right_input=1715, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=1176","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=1237, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1181","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=1222, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1222","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1222, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=2312","layer":4},{"info":"number node, value=4866","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=4866, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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 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=0, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊙↵-(⊥(⫏≰2112111∲⫓⫏≰2100112)))⫥∨⫟(⫏≰1121120↬⫏≰1200211⩨⫏≰1121202⨎⫏≰1200021)⪢((⫏≰10011122⫥∨⫟⫏≰20200020)⩤)=NaN","reverse_text":"NaN=(⊙↵-(⊥(⫏≰2112111∲⫓⫏≰2100112)))⫥∨⫟(⫏≰1121120↬⫏≰1200211⩨⫏≰1121202⨎⫏≰1200021)⪢((⫏≰10011122⫥∨⫟⫏≰20200020)⩤)","cot":[{"info":"⫏≰2112111∲⫓⫏≰2100112=⫏≰0","layer":3},{"info":"⊥⫏≰0=⫏≰0","layer":2},{"info":"⊙↵-⫏≰0=⫏≰0","layer":1},{"info":"⫏≰1121120↬⫏≰1200211=NaN","layer":3},{"info":"⫏≰1121202⨎⫏≰1200021=⫏≰1200021","layer":3},{"info":"NaN⩨⫏≰1200021=NaN","layer":2},{"info":"⫏≰10011122⫥∨⫟⫏≰20200020=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⫏≰0⫥∨⫟NaN=NaN","layer":0}]}
{"id":73,"expression_no_base_symbol":"⨵≀≌($4904$*$2457$∲⫓($1286$⩤))⋥≓≎($9417$↙$2997$%$1095$≎⊠⪸$6448$)","expression":"⨵≀≌(⫏≰20201122*⫏≰10101000∲⫓(⫏≰1202122⩤))⋥≓≎(⫏≰110220210↙⫏≰11010000%⫏≰1111120≎⊠⪸⫏≰22211211)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11506552,"operation_count":8,"complexity_ratio":1438319.0,"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":4904,"base":3},"right_expr":{"type":"numeric_atoms","value":2457,"base":3}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1286,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":9417,"base":3},"right_expr":{"type":"numeric_atoms","value":2997,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1095,"base":3},"right_expr":{"type":"numeric_atoms","value":6448,"base":3}}}}},"used_operators":["srAu1WTS94","Qy55tPpLXF","i8ToyICDmI","9HNa5Wba9A","Z2TMIBDE3Q","k8jYdgA6NY","yyfyN0ffXY","bJkvcejdHO"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"Inf","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4904","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=4904, right_input=2457, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12049128","layer":3},{"info":"number node, value=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1286","layer":3},{"info":"compute binary expreesion, left_input=12049128, right_input=-1286, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=12049128","layer":2},{"info":"number node, value=9417","layer":4},{"info":"number node, value=2997","layer":4},{"info":"compute binary expreesion, left_input=9417, right_input=2997, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8991","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=6448","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=6448, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=283132","layer":3},{"info":"compute binary expreesion, left_input=-8991, right_input=283132, op_id = k8jYdgA6NY binary_op_definition= 'None', output=274141","layer":2},{"info":"compute binary expreesion, left_input=12049128, right_input=274141, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-11500813","layer":1},{"info":"compute unary expreesion, input=-11500813, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":0}],"base":3,"result_base":3,"text":"⨵≀≌(⫏≰20201122*⫏≰10101000∲⫓(⫏≰1202122⩤))⋥≓≎(⫏≰110220210↙⫏≰11010000%⫏≰1111120≎⊠⪸⫏≰22211211)=Inf","reverse_text":"Inf=⨵≀≌(⫏≰20201122*⫏≰10101000∲⫓(⫏≰1202122⩤))⋥≓≎(⫏≰110220210↙⫏≰11010000%⫏≰1111120≎⊠⪸⫏≰22211211)","cot":[{"info":"⫏≰20201122*⫏≰10101000=⫏≰211200011022000","layer":3},{"info":"⫏≰1202122⩤=⫏≰-1202122","layer":3},{"info":"⫏≰211200011022000∲⫓⫏≰-1202122=⫏≰211200011022000","layer":2},{"info":"⫏≰110220210↙⫏≰11010000=⫏≰-110100000","layer":3},{"info":"⫏≰1111120≎⊠⪸⫏≰22211211=⫏≰112101101101","layer":3},{"info":"⫏≰-110100000%⫏≰112101101101=⫏≰111221001101","layer":2},{"info":"⫏≰211200011022000⋥≓≎⫏≰111221001101=⫏≰-210122022011001","layer":1},{"info":"⨵≀≌⫏≰-210122022011001=Inf","layer":0}]}
{"id":74,"expression_no_base_symbol":"((∥⊫$1212$)∑⇟⊟($2284$⨸⪁$2008$)⊠≄⫣)≦≮≮","expression":"((∥⊫⫏≰1122220)∑⇟⊟(⫏≰10010121⨸⪁⫏≰2202101)⊠≄⫣)≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":14,"operation_count":5,"complexity_ratio":2.8,"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":1212,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2284,"base":3},"right_expr":{"type":"numeric_atoms","value":2008,"base":3}}}}},"used_operators":["D4vGDi5EA2","DIvbN7qnHd","U7g4x0WXJJ","P8v4zCKN1o","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1212","layer":4},{"info":"compute unary expreesion, input=1212, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2080","layer":3},{"info":"number node, value=2284","layer":4},{"info":"number node, value=2008","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=2008, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8584","layer":3},{"info":"compute binary expreesion, left_input=2080, right_input=8584, 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 = 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":3,"result_base":3,"text":"((∥⊫⫏≰1122220)∑⇟⊟(⫏≰10010121⨸⪁⫏≰2202101)⊠≄⫣)≦≮≮=NaN","reverse_text":"NaN=((∥⊫⫏≰1122220)∑⇟⊟(⫏≰10010121⨸⪁⫏≰2202101)⊠≄⫣)≦≮≮","cot":[{"info":"∥⊫⫏≰1122220=⫏≰2212001","layer":3},{"info":"⫏≰10010121⨸⪁⫏≰2202101=⫏≰102202221","layer":3},{"info":"⫏≰2212001∑⇟⊟⫏≰102202221=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":75,"expression_no_base_symbol":"∂(($2370$/$7819$+$1082$⫥∨⫟$2884$)⨎($6455$⪘⫢$3193$⋳⪒($3807$⇼⇔∾$5179$)))","expression":"∂((⫏≰10020210/⫏≰101201121+⫏≰1111002⫥∨⫟⫏≰10221211)⨎(⫏≰22212002⪘⫢⫏≰11101021⋳⪒(⫏≰12020000⇼⇔∾⫏≰21002211)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":182,"operation_count":8,"complexity_ratio":22.75,"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":2370,"base":3},"right_expr":{"type":"numeric_atoms","value":7819,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1082,"base":3},"right_expr":{"type":"numeric_atoms","value":2884,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6455,"base":3},"right_expr":{"type":"numeric_atoms","value":3193,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3807,"base":3},"right_expr":{"type":"numeric_atoms","value":5179,"base":3}}}}},"used_operators":["Uaa54Peajs","rJVOvQCfKK","W4YGzv6Whe","XhwjNDsVaA","KYD54nUTWz","12rbrZMWeM","oacrs7FA3X","tifHPKVTfV"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2370","layer":4},{"info":"number node, value=7819","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=7819, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1082","layer":4},{"info":"number node, value=2884","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=2884, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6455","layer":4},{"info":"number node, value=3193","layer":4},{"info":"compute binary expreesion, left_input=6455, right_input=3193, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12786","layer":3},{"info":"number node, value=3807","layer":4},{"info":"number node, value=5179","layer":4},{"info":"compute binary expreesion, left_input=3807, right_input=5179, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1372","layer":3},{"info":"compute binary expreesion, left_input=12786, right_input=1372, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=23913","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23913, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=23913","layer":1},{"info":"compute unary expreesion, input=23913, 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":3,"result_base":3,"text":"∂((⫏≰10020210/⫏≰101201121+⫏≰1111002⫥∨⫟⫏≰10221211)⨎(⫏≰22212002⪘⫢⫏≰11101021⋳⪒(⫏≰12020000⇼⇔∾⫏≰21002211)))=NaN","reverse_text":"NaN=∂((⫏≰10020210/⫏≰101201121+⫏≰1111002⫥∨⫟⫏≰10221211)⨎(⫏≰22212002⪘⫢⫏≰11101021⋳⪒(⫏≰12020000⇼⇔∾⫏≰21002211)))","cot":[{"info":"⫏≰10020210/⫏≰101201121=⫏≰0","layer":3},{"info":"⫏≰1111002⫥∨⫟⫏≰10221211=NaN","layer":3},{"info":"⫏≰0+NaN=NaN","layer":2},{"info":"⫏≰22212002⪘⫢⫏≰11101021=⫏≰122112120","layer":3},{"info":"⫏≰12020000⇼⇔∾⫏≰21002211=⫏≰1212211","layer":3},{"info":"⫏≰122112120⋳⪒⫏≰1212211=⫏≰1012210200","layer":2},{"info":"NaN⨎⫏≰1012210200=⫏≰1012210200","layer":1},{"info":"∂⫏≰1012210200=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"(⨈⫕($1127$↬$1138$⫌⩹⨱))⨸⪁(($1046$⪒$1893$)⇼⇔∾(⫛⫱⨽$1464$)⊉≛↸(≦∁$3980$⋥≓≎$9327$))","expression":"(⨈⫕(⫏≰1112202↬⫏≰1120011⫌⩹⨱))⨸⪁((⫏≰1102202⪒⫏≰2121010)⇼⇔∾(⫛⫱⨽⫏≰2000020)⊉≛↸(≦∁⫏≰12110102⋥≓≎⫏≰110210110))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1831,"operation_count":10,"complexity_ratio":183.1,"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":1127,"base":3},"right_expr":{"type":"numeric_atoms","value":1138,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1046,"base":3},"right_expr":{"type":"numeric_atoms","value":1893,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1464,"base":3}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3980,"base":3},"right_expr":{"type":"numeric_atoms","value":9327,"base":3}}}}},"used_operators":["g55IO6H4Gj","megm06wKyl","EBcxylXtPf","B5M0gjZbta","DZ8iAZOCBD","tifHPKVTfV","f6k1SAg4EE","DlLNRPXxWL","9ICcGScMcE","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰121001212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=1138, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(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":"number node, value=1046","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=1893, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2939","layer":3},{"info":"number node, value=1464","layer":4},{"info":"compute unary expreesion, input=1464, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2939, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2939","layer":2},{"info":"number node, value=3980","layer":4},{"info":"number node, value=9327","layer":4},{"info":"compute binary expreesion, left_input=3980, right_input=9327, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=14707","layer":3},{"info":"compute unary expreesion, input=14707, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=14707","layer":2},{"info":"compute binary expreesion, left_input=2939, right_input=14707, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5878","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=5878, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11714","layer":0}],"base":3,"result_base":3,"text":"(⨈⫕(⫏≰1112202↬⫏≰1120011⫌⩹⨱))⨸⪁((⫏≰1102202⪒⫏≰2121010)⇼⇔∾(⫛⫱⨽⫏≰2000020)⊉≛↸(≦∁⫏≰12110102⋥≓≎⫏≰110210110))=⫏≰121001212","reverse_text":"⫏≰121001212=(⨈⫕(⫏≰1112202↬⫏≰1120011⫌⩹⨱))⨸⪁((⫏≰1102202⪒⫏≰2121010)⇼⇔∾(⫛⫱⨽⫏≰2000020)⊉≛↸(≦∁⫏≰12110102⋥≓≎⫏≰110210110))","cot":[{"info":"⫏≰1112202↬⫏≰1120011=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"⨈⫕NaN=⫏≰-210","layer":1},{"info":"⫏≰1102202⪒⫏≰2121010=⫏≰-11000212","layer":3},{"info":"⫛⫱⨽⫏≰2000020=⫏≰0","layer":3},{"info":"⫏≰-11000212⇼⇔∾⫏≰0=⫏≰11000212","layer":2},{"info":"⫏≰12110102⋥≓≎⫏≰110210110=⫏≰202011201","layer":3},{"info":"≦∁⫏≰202011201=⫏≰202011201","layer":2},{"info":"⫏≰11000212⊉≛↸⫏≰202011201=⫏≰22001201","layer":1},{"info":"⫏≰-210⨸⪁⫏≰22001201=⫏≰121001212","layer":0}]}
{"id":77,"expression_no_base_symbol":"(($1644$⩨$4988$)∑⇟⊟(∥⊫$2206$)⊦⊿)≦≮≮","expression":"((⫏≰2020220⩨⫏≰20211202)∑⇟⊟(∥⊫⫏≰10000201)⊦⊿)≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":20,"operation_count":5,"complexity_ratio":4.0,"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":1644,"base":3},"right_expr":{"type":"numeric_atoms","value":4988,"base":3}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2206,"base":3}}}}},"used_operators":["D4vGDi5EA2","14qkJME0vr","U7g4x0WXJJ","2DlMacCsIx","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1644","layer":4},{"info":"number node, value=4988","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=4988, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=2206","layer":4},{"info":"compute unary expreesion, input=2206, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3074","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=3074, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(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":3,"result_base":3,"text":"((⫏≰2020220⩨⫏≰20211202)∑⇟⊟(∥⊫⫏≰10000201)⊦⊿)≦≮≮=NaN","reverse_text":"NaN=((⫏≰2020220⩨⫏≰20211202)∑⇟⊟(∥⊫⫏≰10000201)⊦⊿)≦≮≮","cot":[{"info":"⫏≰2020220⩨⫏≰20211202=⫏≰-100","layer":3},{"info":"∥⊫⫏≰10000201=⫏≰11012212","layer":3},{"info":"⫏≰-100∑⇟⊟⫏≰11012212=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":78,"expression_no_base_symbol":"(⋗⩬⋾($5725$+⇶⊼$5855$⫡⨏$4962$⪒$2840$))*(($1617$*$3294$)⨳⩥⨓(≤/$1294$))⫥∨⫟($3327$∑⇟⊟$1174$)⪢($3274$-$4857$)","expression":"(⋗⩬⋾(⫏≰21212001+⇶⊼⫏≰22000212⫡⨏⫏≰20210210⪒⫏≰10220012))*((⫏≰2012220*⫏≰11112000)⨳⩥⨓(≤/⫏≰1202221))⫥∨⫟(⫏≰11120020∑⇟⊟⫏≰1121111)⪢(⫏≰11111021-⫏≰20122220)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3375,"operation_count":12,"complexity_ratio":281.25,"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":5725,"base":3},"right_expr":{"type":"numeric_atoms","value":5855,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4962,"base":3},"right_expr":{"type":"numeric_atoms","value":2840,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1617,"base":3},"right_expr":{"type":"numeric_atoms","value":3294,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1294,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3327,"base":3},"right_expr":{"type":"numeric_atoms","value":1174,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3274,"base":3},"right_expr":{"type":"numeric_atoms","value":4857,"base":3}}}}},"used_operators":["9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","TpPTUOHfaN","f6k1SAg4EE","KYD54nUTWz","nCS4ZIUYfx","eLAdDNolq6","dWAJyo7jo9","U7g4x0WXJJ","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5725","layer":4},{"info":"number node, value=5855","layer":4},{"info":"compute binary expreesion, left_input=5725, right_input=5855, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4962","layer":4},{"info":"number node, value=2840","layer":4},{"info":"compute binary expreesion, left_input=4962, right_input=2840, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7802","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7802, op_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 = 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=1617","layer":4},{"info":"number node, value=3294","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=3294, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5326398","layer":3},{"info":"number node, value=1294","layer":4},{"info":"compute unary expreesion, input=1294, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-810","layer":3},{"info":"compute binary expreesion, left_input=5326398, right_input=-810, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5327208","layer":2},{"info":"number node, value=3327","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=3327, right_input=1174, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3274","layer":4},{"info":"number node, value=4857","layer":4},{"info":"compute binary expreesion, left_input=3274, right_input=4857, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1583","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1583, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-5327208, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⋗⩬⋾(⫏≰21212001+⇶⊼⫏≰22000212⫡⨏⫏≰20210210⪒⫏≰10220012))*((⫏≰2012220*⫏≰11112000)⨳⩥⨓(≤/⫏≰1202221))⫥∨⫟(⫏≰11120020∑⇟⊟⫏≰1121111)⪢(⫏≰11111021-⫏≰20122220)=NaN","reverse_text":"NaN=(⋗⩬⋾(⫏≰21212001+⇶⊼⫏≰22000212⫡⨏⫏≰20210210⪒⫏≰10220012))*((⫏≰2012220*⫏≰11112000)⨳⩥⨓(≤/⫏≰1202221))⫥∨⫟(⫏≰11120020∑⇟⊟⫏≰1121111)⪢(⫏≰11111021-⫏≰20122220)","cot":[{"info":"⫏≰21212001+⇶⊼⫏≰22000212=NaN","layer":3},{"info":"⫏≰20210210⪒⫏≰10220012=⫏≰-101200222","layer":3},{"info":"NaN⫡⨏⫏≰-101200222=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⫏≰2012220*⫏≰11112000=⫏≰101000121110000","layer":3},{"info":"≤/⫏≰1202221=⫏≰-1010000","layer":3},{"info":"⫏≰101000121110000⨳⩥⨓⫏≰-1010000=⫏≰-101000122120000","layer":2},{"info":"⫏≰11120020∑⇟⊟⫏≰1121111=NaN","layer":3},{"info":"⫏≰11111021-⫏≰20122220=⫏≰-2011122","layer":3},{"info":"NaN⪢⫏≰-2011122=NaN","layer":2},{"info":"⫏≰-101000122120000⫥∨⫟NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":79,"expression_no_base_symbol":"(⪲⇎$3861$⨪↰⇹$3905$⋳⪒(⨈⫕$5923$))⪢($3866$⨎$1756$⨐⩸⫘$2635$≎⊠⪸$1113$*(⊄⩳↩($1288$⩚⊴⇥$4971$)))","expression":"(⪲⇎⫏≰12022000⨪↰⇹⫏≰12100122⋳⪒(⨈⫕⫏≰22010101))⪢(⫏≰12022012⨎⫏≰2102001⨐⩸⫘⫏≰10121121≎⊠⪸⫏≰1112020*(⊄⩳↩(⫏≰1202201⩚⊴⇥⫏≰20211010)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4536,"operation_count":11,"complexity_ratio":412.3636363636364,"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":3861,"base":3},"right_expr":{"type":"numeric_atoms","value":3905,"base":3}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5923,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3866,"base":3},"right_expr":{"type":"numeric_atoms","value":1756,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2635,"base":3},"right_expr":{"type":"numeric_atoms","value":1113,"base":3}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1288,"base":3},"right_expr":{"type":"numeric_atoms","value":4971,"base":3}}}}},"used_operators":["dWAJyo7jo9","XPYlsWDdGa","12rbrZMWeM","tmPS8pqC7x","megm06wKyl","9HNa5Wba9A","fu6greOZ01","rJVOvQCfKK","bJkvcejdHO","8w2t5hMYqp","NTOWxs364D"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3861","layer":4},{"info":"number node, value=3905","layer":4},{"info":"compute binary expreesion, left_input=3861, right_input=3905, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3861","layer":3},{"info":"number node, value=5923","layer":4},{"info":"compute unary expreesion, input=5923, 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=3861, right_input=-21, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7456","layer":2},{"info":"compute unary expreesion, input=7456, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=14912","layer":1},{"info":"number node, value=3866","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=3866, right_input=1756, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1756","layer":3},{"info":"number node, value=2635","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=1113, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=681992","layer":3},{"info":"compute binary expreesion, left_input=1756, right_input=681992, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1288","layer":4},{"info":"number node, value=4971","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=4971, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6380","layer":3},{"info":"compute unary expreesion, input=-6380, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=19140","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19140, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=14912, 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":3,"result_base":3,"text":"(⪲⇎⫏≰12022000⨪↰⇹⫏≰12100122⋳⪒(⨈⫕⫏≰22010101))⪢(⫏≰12022012⨎⫏≰2102001⨐⩸⫘⫏≰10121121≎⊠⪸⫏≰1112020*(⊄⩳↩(⫏≰1202201⩚⊴⇥⫏≰20211010)))=NaN","reverse_text":"NaN=(⪲⇎⫏≰12022000⨪↰⇹⫏≰12100122⋳⪒(⨈⫕⫏≰22010101))⪢(⫏≰12022012⨎⫏≰2102001⨐⩸⫘⫏≰10121121≎⊠⪸⫏≰1112020*(⊄⩳↩(⫏≰1202201⩚⊴⇥⫏≰20211010)))","cot":[{"info":"⫏≰12022000⨪↰⇹⫏≰12100122=⫏≰12022000","layer":3},{"info":"⨈⫕⫏≰22010101=⫏≰-210","layer":3},{"info":"⫏≰12022000⋳⪒⫏≰-210=⫏≰101020011","layer":2},{"info":"⪲⇎⫏≰101020011=⫏≰202110022","layer":1},{"info":"⫏≰12022012⨎⫏≰2102001=⫏≰2102001","layer":3},{"info":"⫏≰10121121≎⊠⪸⫏≰1112020=⫏≰1021122111222","layer":3},{"info":"⫏≰2102001⨐⩸⫘⫏≰1021122111222=NaN","layer":2},{"info":"⫏≰1202201⩚⊴⇥⫏≰20211010=⫏≰-22202022","layer":3},{"info":"⊄⩳↩⫏≰-22202022=⫏≰222020220","layer":2},{"info":"NaN*⫏≰222020220=NaN","layer":1},{"info":"⫏≰202110022⪢NaN=NaN","layer":0}]}
{"id":80,"expression_no_base_symbol":"$1440$⨟⋌⩍$2316$≧⫂∧($2700$⊉≛↸$5026$)⋓($1416$∀⇚≩$4424$)∼(⨵≀≌$3797$)⊘","expression":"⫏≰1222100⨟⋌⩍⫏≰10011210≧⫂∧(⫏≰10201000⊉≛↸⫏≰20220011)⋓(⫏≰1221110∀⇚≩⫏≰20001212)∼(⨵≀≌⫏≰12012122)⊘","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9956,"operation_count":8,"complexity_ratio":1244.5,"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":1440,"base":3},"right_expr":{"type":"numeric_atoms","value":2316,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2700,"base":3},"right_expr":{"type":"numeric_atoms","value":5026,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1416,"base":3},"right_expr":{"type":"numeric_atoms","value":4424,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3797,"base":3}}}}},"used_operators":["gu96TGCTMs","T2fj7uvVaJ","Ph9nP6C5qx","rGHVDoGpnC","DZ8iAZOCBD","DyGG3AbaNP","LRNGc0VcxI","srAu1WTS94"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1440","layer":4},{"info":"number node, value=2316","layer":4},{"info":"compute binary expreesion, left_input=1440, right_input=2316, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=2700","layer":4},{"info":"number node, value=5026","layer":4},{"info":"compute binary expreesion, left_input=2700, right_input=5026, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5400","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5400, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4927","layer":2},{"info":"number node, value=1416","layer":4},{"info":"number node, value=4424","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=4424, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3797","layer":4},{"info":"compute unary expreesion, input=3797, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11391","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11391, 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=4927, 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 = 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":3,"result_base":3,"text":"⫏≰1222100⨟⋌⩍⫏≰10011210≧⫂∧(⫏≰10201000⊉≛↸⫏≰20220011)⋓(⫏≰1221110∀⇚≩⫏≰20001212)∼(⨵≀≌⫏≰12012122)⊘=NaN","reverse_text":"NaN=⫏≰1222100⨟⋌⩍⫏≰10011210≧⫂∧(⫏≰10201000⊉≛↸⫏≰20220011)⋓(⫏≰1221110∀⇚≩⫏≰20001212)∼(⨵≀≌⫏≰12012122)⊘","cot":[{"info":"⫏≰1222100⨟⋌⩍⫏≰10011210=NaN","layer":3},{"info":"⫏≰10201000⊉≛↸⫏≰20220011=⫏≰21102000","layer":3},{"info":"NaN≧⫂∧⫏≰21102000=⫏≰20202111","layer":2},{"info":"⫏≰1221110∀⇚≩⫏≰20001212=NaN","layer":3},{"info":"⨵≀≌⫏≰12012122=⫏≰-120121220","layer":3},{"info":"NaN∼⫏≰-120121220=NaN","layer":2},{"info":"⫏≰20202111⋓NaN=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":81,"expression_no_base_symbol":"∂(⪝⪂⫅($1451$⨽$2386$⫡⨏$4335$⩨$3982$))","expression":"∂(⪝⪂⫅(⫏≰1222202⨽⫏≰10021101⫡⨏⫏≰12221120⩨⫏≰12110111))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1622,"operation_count":5,"complexity_ratio":324.4,"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":1451,"base":3},"right_expr":{"type":"numeric_atoms","value":2386,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4335,"base":3},"right_expr":{"type":"numeric_atoms","value":3982,"base":3}}}}},"used_operators":["Uaa54Peajs","XTarYq4gQB","QMFrweE19q","8HhzD0ZcuI","2DlMacCsIx"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1451","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=2386, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6322047","layer":3},{"info":"number node, value=4335","layer":4},{"info":"number node, value=3982","layer":4},{"info":"compute binary expreesion, left_input=4335, right_input=3982, 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=-6322047, 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=-31609452","layer":2},{"info":"compute unary expreesion, input=-31609452, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, 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":3,"result_base":3,"text":"∂(⪝⪂⫅(⫏≰1222202⨽⫏≰10021101⫡⨏⫏≰12221120⩨⫏≰12110111))=NaN","reverse_text":"NaN=∂(⪝⪂⫅(⫏≰1222202⨽⫏≰10021101⫡⨏⫏≰12221120⩨⫏≰12110111))","cot":[{"info":"⫏≰1222202⨽⫏≰10021101=⫏≰-102220012012220","layer":3},{"info":"⫏≰12221120⩨⫏≰12110111=⫏≰0","layer":3},{"info":"⫏≰-102220012012220⫡⨏⫏≰0=⫏≰-2012110221000110","layer":2},{"info":"⪝⪂⫅⫏≰-2012110221000110=Inf","layer":1},{"info":"∂Inf=NaN","layer":0}]}
{"id":82,"expression_no_base_symbol":"((⫛⫱⨽($5992$⋝⋈⪟$5143$))⊉≛↸($1020$≋⫹)⋳⪒($5282$⪄$1296$))⊘","expression":"((⫛⫱⨽(⫏≰22012221⋝⋈⪟⫏≰21001111))⊉≛↸(⫏≰1101210≋⫹)⋳⪒(⫏≰21020122⪄⫏≰1210000))⊘","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1554,"operation_count":7,"complexity_ratio":222.0,"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":5992,"base":3},"right_expr":{"type":"numeric_atoms","value":5143,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1020,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5282,"base":3},"right_expr":{"type":"numeric_atoms","value":1296,"base":3}}}}},"used_operators":["gu96TGCTMs","DZ8iAZOCBD","DlLNRPXxWL","2DDjHMKMc0","12rbrZMWeM","N41Kp7NANJ","SUmda5xLS4"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5992","layer":4},{"info":"number node, value=5143","layer":4},{"info":"compute binary expreesion, left_input=5992, right_input=5143, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5992","layer":3},{"info":"compute unary expreesion, input=5992, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2040","layer":3},{"info":"number node, value=5282","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=5282, right_input=1296, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-783009","layer":3},{"info":"compute binary expreesion, left_input=-2040, right_input=-783009, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=778642","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=778642, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (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":3,"result_base":3,"text":"((⫛⫱⨽(⫏≰22012221⋝⋈⪟⫏≰21001111))⊉≛↸(⫏≰1101210≋⫹)⋳⪒(⫏≰21020122⪄⫏≰1210000))⊘=⫏≰0","reverse_text":"⫏≰0=((⫛⫱⨽(⫏≰22012221⋝⋈⪟⫏≰21001111))⊉≛↸(⫏≰1101210≋⫹)⋳⪒(⫏≰21020122⪄⫏≰1210000))⊘","cot":[{"info":"⫏≰22012221⋝⋈⪟⫏≰21001111=⫏≰22012221","layer":3},{"info":"⫛⫱⨽⫏≰22012221=⫏≰0","layer":2},{"info":"⫏≰1101210≋⫹=⫏≰-2210120","layer":3},{"info":"⫏≰21020122⪄⫏≰1210000=⫏≰-1110210002100","layer":3},{"info":"⫏≰-2210120⋳⪒⫏≰-1110210002100=⫏≰1110120002121","layer":2},{"info":"⫏≰0⊉≛↸⫏≰1110120002121=⫏≰0","layer":1},{"info":"⫏≰0⊘=⫏≰0","layer":0}]}
{"id":83,"expression_no_base_symbol":"($1367$⋝⋈⪟$2408$⋥≓≎($5653$⫸⊐$5935$)/$1168$⨓$1110$-($9066$⫡⨏$1642$))⨰((∂($2058$⨸⪁$5861$))*($2376$⇷$1092$⨵⪆($4871$⪨≂$5306$)))","expression":"(⫏≰1212122⋝⋈⪟⫏≰10022012⋥≓≎(⫏≰21202101⫸⊐⫏≰22010211)/⫏≰1121021⨓⫏≰1112010-(⫏≰110102210⫡⨏⫏≰2020211))⨰((∂(⫏≰2211020⨸⪁⫏≰22001002))*(⫏≰10021000⇷⫏≰1111110⨵⪆(⫏≰20200102⪨≂⫏≰21021112)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34443,"operation_count":14,"complexity_ratio":2460.214285714286,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1367,"base":3},"right_expr":{"type":"numeric_atoms","value":2408,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5653,"base":3},"right_expr":{"type":"numeric_atoms","value":5935,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1168,"base":3},"right_expr":{"type":"numeric_atoms","value":1110,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":9066,"base":3},"right_expr":{"type":"numeric_atoms","value":1642,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2058,"base":3},"right_expr":{"type":"numeric_atoms","value":5861,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2376,"base":3},"right_expr":{"type":"numeric_atoms","value":1092,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4871,"base":3},"right_expr":{"type":"numeric_atoms","value":5306,"base":3}}}}},"used_operators":["eewbuw0ToL","XhwjNDsVaA","Qy55tPpLXF","2DDjHMKMc0","mqXw5SEYmG","rysDP5nf3Z","3ViojmjbAp","QMFrweE19q","9HNa5Wba9A","Uaa54Peajs","g55IO6H4Gj","2DQ55sFlQl","mp7IySMOzn","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1367","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=2408, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1367","layer":3},{"info":"number node, value=5653","layer":4},{"info":"number node, value=5935","layer":4},{"info":"compute binary expreesion, left_input=5653, right_input=5935, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23615","layer":3},{"info":"compute binary expreesion, left_input=1367, right_input=23615, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=45896","layer":2},{"info":"number node, value=1168","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=1110, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1113","layer":3},{"info":"number node, value=9066","layer":4},{"info":"number node, value=1642","layer":4},{"info":"compute binary expreesion, left_input=9066, right_input=1642, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=49397","layer":3},{"info":"compute binary expreesion, left_input=-1113, right_input=49397, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-50510","layer":2},{"info":"compute binary expreesion, left_input=45896, right_input=-50510, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":1},{"info":"number node, value=2058","layer":4},{"info":"number node, value=5861","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=5861, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15838","layer":3},{"info":"compute unary expreesion, input=15838, 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=2376","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=2376, right_input=1092, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2184","layer":3},{"info":"number node, value=4871","layer":4},{"info":"number node, value=5306","layer":4},{"info":"compute binary expreesion, left_input=4871, right_input=5306, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-768","layer":3},{"info":"compute binary expreesion, left_input=2184, right_input=-768, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"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":0}],"base":3,"result_base":3,"text":"(⫏≰1212122⋝⋈⪟⫏≰10022012⋥≓≎(⫏≰21202101⫸⊐⫏≰22010211)/⫏≰1121021⨓⫏≰1112010-(⫏≰110102210⫡⨏⫏≰2020211))⨰((∂(⫏≰2211020⨸⪁⫏≰22001002))*(⫏≰10021000⇷⫏≰1111110⨵⪆(⫏≰20200102⪨≂⫏≰21021112)))=NaN","reverse_text":"NaN=(⫏≰1212122⋝⋈⪟⫏≰10022012⋥≓≎(⫏≰21202101⫸⊐⫏≰22010211)/⫏≰1121021⨓⫏≰1112010-(⫏≰110102210⫡⨏⫏≰2020211))⨰((∂(⫏≰2211020⨸⪁⫏≰22001002))*(⫏≰10021000⇷⫏≰1111110⨵⪆(⫏≰20200102⪨≂⫏≰21021112)))","cot":[{"info":"⫏≰1212122⋝⋈⪟⫏≰10022012=⫏≰1212122","layer":3},{"info":"⫏≰21202101⫸⊐⫏≰22010211=⫏≰1012101122","layer":3},{"info":"⫏≰1212122⋥≓≎⫏≰1012101122=⫏≰2022221212","layer":2},{"info":"⫏≰1121021⨓⫏≰1112010=⫏≰-1112020","layer":3},{"info":"⫏≰110102210⫡⨏⫏≰2020211=⫏≰2111202112","layer":3},{"info":"⫏≰-1112020-⫏≰2111202112=⫏≰-2120021202","layer":2},{"info":"⫏≰2022221212/⫏≰-2120021202=⫏≰-1","layer":1},{"info":"⫏≰2211020⨸⪁⫏≰22001002=⫏≰210201121","layer":3},{"info":"∂⫏≰210201121=NaN","layer":2},{"info":"⫏≰10021000⇷⫏≰1111110=⫏≰2222220","layer":3},{"info":"⫏≰20200102⪨≂⫏≰21021112=⫏≰-1001110","layer":3},{"info":"⫏≰2222220⨵⪆⫏≰-1001110=⫏≰12221","layer":2},{"info":"NaN*⫏≰12221=NaN","layer":1},{"info":"⫏≰-1⨰NaN=NaN","layer":0}]}
{"id":84,"expression_no_base_symbol":"($2678$↙$1467$⨵⪆$1168$⪒$1183$⫡⨏((⨵≀≌$4644$)⫌⩹⨱))⫌⩹⨱","expression":"(⫏≰10200012↙⫏≰2000100⨵⪆⫏≰1121021⪒⫏≰1121211⫡⨏((⨵≀≌⫏≰20101000)⫌⩹⨱))⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1498,"operation_count":7,"complexity_ratio":214.0,"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":2678,"base":3},"right_expr":{"type":"numeric_atoms","value":1467,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1168,"base":3},"right_expr":{"type":"numeric_atoms","value":1183,"base":3}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4644,"base":3}}}}},"used_operators":["EBcxylXtPf","QMFrweE19q","2DQ55sFlQl","yyfyN0ffXY","f6k1SAg4EE","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫏≰-12010221022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2678","layer":4},{"info":"number node, value=1467","layer":4},{"info":"compute binary expreesion, left_input=2678, right_input=1467, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4401","layer":3},{"info":"number node, value=1168","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=1183, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2351","layer":3},{"info":"compute binary expreesion, left_input=-4401, right_input=-2351, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4644","layer":4},{"info":"compute unary expreesion, input=4644, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13932","layer":3},{"info":"compute unary expreesion, input=-13932, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-26463","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-26463, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-51343","layer":1},{"info":"compute unary expreesion, input=-51343, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-101285","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10200012↙⫏≰2000100⨵⪆⫏≰1121021⪒⫏≰1121211⫡⨏((⨵≀≌⫏≰20101000)⫌⩹⨱))⫌⩹⨱=⫏≰-12010221022","reverse_text":"⫏≰-12010221022=(⫏≰10200012↙⫏≰2000100⨵⪆⫏≰1121021⪒⫏≰1121211⫡⨏((⨵≀≌⫏≰20101000)⫌⩹⨱))⫌⩹⨱","cot":[{"info":"⫏≰10200012↙⫏≰2000100=⫏≰-20001000","layer":3},{"info":"⫏≰1121021⪒⫏≰1121211=⫏≰-10020002","layer":3},{"info":"⫏≰-20001000⨵⪆⫏≰-10020002=⫏≰12221","layer":2},{"info":"⨵≀≌⫏≰20101000=⫏≰-201010000","layer":3},{"info":"⫏≰-201010000⫌⩹⨱=⫏≰-1100022010","layer":2},{"info":"⫏≰12221⫡⨏⫏≰-1100022010=⫏≰-2121102121","layer":1},{"info":"⫏≰-2121102121⫌⩹⨱=⫏≰-12010221022","layer":0}]}
{"id":85,"expression_no_base_symbol":"($1025$⩚⊴⇥$1144$⨵⪆$3278$≹⇙⪍$1925$)⫸⊐$3069$⋝⋈⪟$3357$⨎$1755$≧⫂∧$1085$%((≤/$2259$)⫌⩹⨱)⨟⋌⩍(⇁⨣⪵(≤/$6911$))","expression":"(⫏≰1101222⩚⊴⇥⫏≰1120101⨵⪆⫏≰11111102≹⇙⪍⫏≰2122022)⫸⊐⫏≰11012200⋝⋈⪟⫏≰11121100⨎⫏≰2102000≧⫂∧⫏≰1111012%((≤/⫏≰10002200)⫌⩹⨱)⨟⋌⩍(⇁⨣⪵(≤/⫏≰100110222))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26,"operation_count":13,"complexity_ratio":2.0,"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":1025,"base":3},"right_expr":{"type":"numeric_atoms","value":1144,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3278,"base":3},"right_expr":{"type":"numeric_atoms","value":1925,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3069,"base":3},"right_expr":{"type":"numeric_atoms","value":3357,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1755,"base":3},"right_expr":{"type":"numeric_atoms","value":1085,"base":3}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2259,"base":3}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6911,"base":3}}}}},"used_operators":["k8jYdgA6NY","mqXw5SEYmG","2DQ55sFlQl","NTOWxs364D","AHs5Up7iyr","rJVOvQCfKK","2DDjHMKMc0","Ph9nP6C5qx","rGHVDoGpnC","EBcxylXtPf","eLAdDNolq6","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1025","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=1144, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2290","layer":3},{"info":"number node, value=3278","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=3278, right_input=1925, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-2290, 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=3069","layer":4},{"info":"number node, value=3357","layer":4},{"info":"compute binary expreesion, left_input=3069, right_input=3357, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3069","layer":3},{"info":"number node, value=1755","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=1085, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=612","layer":3},{"info":"compute binary expreesion, left_input=3069, right_input=612, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=612","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=612, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=320","layer":1},{"info":"number node, value=2259","layer":4},{"info":"compute unary expreesion, input=2259, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1775","layer":3},{"info":"compute unary expreesion, input=-1775, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-2149","layer":2},{"info":"number node, value=6911","layer":4},{"info":"compute unary expreesion, input=6911, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6427","layer":3},{"info":"compute unary expreesion, input=-6427, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2149, 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=320, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1101222⩚⊴⇥⫏≰1120101⨵⪆⫏≰11111102≹⇙⪍⫏≰2122022)⫸⊐⫏≰11012200⋝⋈⪟⫏≰11121100⨎⫏≰2102000≧⫂∧⫏≰1111012%((≤/⫏≰10002200)⫌⩹⨱)⨟⋌⩍(⇁⨣⪵(≤/⫏≰100110222))=NaN","reverse_text":"NaN=(⫏≰1101222⩚⊴⇥⫏≰1120101⨵⪆⫏≰11111102≹⇙⪍⫏≰2122022)⫸⊐⫏≰11012200⋝⋈⪟⫏≰11121100⨎⫏≰2102000≧⫂∧⫏≰1111012%((≤/⫏≰10002200)⫌⩹⨱)⨟⋌⩍(⇁⨣⪵(≤/⫏≰100110222))","cot":[{"info":"⫏≰1101222⩚⊴⇥⫏≰1120101=⫏≰-10010211","layer":3},{"info":"⫏≰11111102≹⇙⪍⫏≰2122022=NaN","layer":3},{"info":"⫏≰-10010211⨵⪆NaN=⫏≰12221","layer":2},{"info":"⫏≰11012200⋝⋈⪟⫏≰11121100=⫏≰11012200","layer":3},{"info":"⫏≰2102000≧⫂∧⫏≰1111012=⫏≰211200","layer":3},{"info":"⫏≰11012200⨎⫏≰211200=⫏≰211200","layer":2},{"info":"⫏≰12221⫸⊐⫏≰211200=⫏≰102212","layer":1},{"info":"≤/⫏≰10002200=⫏≰-2102202","layer":3},{"info":"⫏≰-2102202⫌⩹⨱=⫏≰-2221121","layer":2},{"info":"≤/⫏≰100110222=⫏≰-22211001","layer":3},{"info":"⇁⨣⪵⫏≰-22211001=NaN","layer":2},{"info":"⫏≰-2221121⨟⋌⩍NaN=NaN","layer":1},{"info":"⫏≰102212%NaN=NaN","layer":0}]}
{"id":86,"expression_no_base_symbol":"(($3617$⋳⪒$2317$%$2198$⪮%⊝$6061$)⨸⪁($1290$⪨≂$2122$)↺$7706$⫥∨⫟$4326$)↙(≤/$1756$≭$7508$)⪛(($5258$⊭∹↮)∧)","expression":"((⫏≰11221222⋳⪒⫏≰10011211%⫏≰10000102⪮%⊝⫏≰22022111)⨸⪁(⫏≰1202210⪨≂⫏≰2220121)↺⫏≰101120102⫥∨⫟⫏≰12221020)↙(≤/⫏≰2102001≭⫏≰101022002)⪛((⫏≰21012202⊭∹↮)∧)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":200,"operation_count":13,"complexity_ratio":15.384615384615385,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3617,"base":3},"right_expr":{"type":"numeric_atoms","value":2317,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2198,"base":3},"right_expr":{"type":"numeric_atoms","value":6061,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1290,"base":3},"right_expr":{"type":"numeric_atoms","value":2122,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7706,"base":3},"right_expr":{"type":"numeric_atoms","value":4326,"base":3}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1756,"base":3},"right_expr":{"type":"numeric_atoms","value":7508,"base":3}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5258,"base":3}}}}},"used_operators":["yyfyN0ffXY","g55IO6H4Gj","k8jYdgA6NY","12rbrZMWeM","IWmyXbctLI","7j4O788W3g","sdazOOVcIp","KYD54nUTWz","uFcxV4UQCh","eLAdDNolq6","rxpJgHHUmx","z63VuFQld9","xNBdhnnwKq"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3617","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=3617, right_input=2317, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4630","layer":3},{"info":"number node, value=2198","layer":4},{"info":"number node, value=6061","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=6061, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4712","layer":3},{"info":"compute binary expreesion, left_input=4630, right_input=4712, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4630","layer":2},{"info":"number node, value=1290","layer":4},{"info":"number node, value=2122","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=2122, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1562","layer":3},{"info":"number node, value=7706","layer":4},{"info":"number node, value=4326","layer":4},{"info":"compute binary expreesion, left_input=7706, right_input=4326, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1562, 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=4630, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1756","layer":4},{"info":"number node, value=7508","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=7508, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"number node, value=5258","layer":4},{"info":"compute unary expreesion, input=5258, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10516","layer":3},{"info":"compute unary expreesion, input=10516, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11221222⋳⪒⫏≰10011211%⫏≰10000102⪮%⊝⫏≰22022111)⨸⪁(⫏≰1202210⪨≂⫏≰2220121)↺⫏≰101120102⫥∨⫟⫏≰12221020)↙(≤/⫏≰2102001≭⫏≰101022002)⪛((⫏≰21012202⊭∹↮)∧)=NaN","reverse_text":"NaN=((⫏≰11221222⋳⪒⫏≰10011211%⫏≰10000102⪮%⊝⫏≰22022111)⨸⪁(⫏≰1202210⪨≂⫏≰2220121)↺⫏≰101120102⫥∨⫟⫏≰12221020)↙(≤/⫏≰2102001≭⫏≰101022002)⪛((⫏≰21012202⊭∹↮)∧)","cot":[{"info":"⫏≰11221222⋳⪒⫏≰10011211=⫏≰20100111","layer":3},{"info":"⫏≰10000102⪮%⊝⫏≰22022111=⫏≰20110112","layer":3},{"info":"⫏≰20100111%⫏≰20110112=⫏≰20100111","layer":2},{"info":"⫏≰1202210⪨≂⫏≰2220121=⫏≰-2010212","layer":3},{"info":"⫏≰101120102⫥∨⫟⫏≰12221020=NaN","layer":3},{"info":"⫏≰-2010212↺NaN=NaN","layer":2},{"info":"⫏≰20100111⨸⪁NaN=NaN","layer":1},{"info":"⫏≰2102001≭⫏≰101022002=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⫏≰21012202⊭∹↮=⫏≰112102111","layer":3},{"info":"⫏≰112102111∧=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":87,"expression_no_base_symbol":"(($2323$≭$3622$)⋓($1082$⨎$4352$))⪢(↽≂($6200$⪨≂$8181$))⨵⪆($1668$⋓$3567$⋳⪒($1506$⊭↱$3148$))⪮%⊝((↽≂$6669$)+$5820$⊴$6719$)","expression":"((⫏≰10012001≭⫏≰11222011)⋓(⫏≰1111002⨎⫏≰12222012))⪢(↽≂(⫏≰22111122⪨≂⫏≰102020000))⨵⪆(⫏≰2021210⋓⫏≰11220010⋳⪒(⫏≰2001210⊭↱⫏≰11022121))⪮%⊝((↽≂⫏≰100011000)+⫏≰21222120⊴⫏≰100012212)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14508,"operation_count":14,"complexity_ratio":1036.2857142857142,"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":2323,"base":3},"right_expr":{"type":"numeric_atoms","value":3622,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1082,"base":3},"right_expr":{"type":"numeric_atoms","value":4352,"base":3}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6200,"base":3},"right_expr":{"type":"numeric_atoms","value":8181,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1668,"base":3},"right_expr":{"type":"numeric_atoms","value":3567,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1506,"base":3},"right_expr":{"type":"numeric_atoms","value":3148,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6669,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5820,"base":3},"right_expr":{"type":"numeric_atoms","value":6719,"base":3}}}}},"used_operators":["2DQ55sFlQl","dWAJyo7jo9","T2fj7uvVaJ","rxpJgHHUmx","rJVOvQCfKK","u6S6b8DprG","sdazOOVcIp","IWmyXbctLI","12rbrZMWeM","COABgblf1C","W4YGzv6Whe","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2323","layer":4},{"info":"number node, value=3622","layer":4},{"info":"compute binary expreesion, left_input=2323, right_input=3622, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1082","layer":4},{"info":"number node, value=4352","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=4352, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4352","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4352, op_id = T2fj7uvVaJ 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=6200","layer":4},{"info":"number node, value=8181","layer":4},{"info":"compute binary expreesion, left_input=6200, right_input=8181, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3860","layer":3},{"info":"compute unary expreesion, input=-3860, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=7720","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7720, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1668","layer":4},{"info":"number node, value=3567","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=3567, op_id = T2fj7uvVaJ 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=1506","layer":4},{"info":"number node, value=3148","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=3148, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3289","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3289, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3576","layer":2},{"info":"number node, value=6669","layer":4},{"info":"compute unary expreesion, input=6669, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13338","layer":3},{"info":"number node, value=5820","layer":4},{"info":"number node, value=6719","layer":4},{"info":"compute binary expreesion, left_input=5820, right_input=6719, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-13338, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3576, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10012001≭⫏≰11222011)⋓(⫏≰1111002⨎⫏≰12222012))⪢(↽≂(⫏≰22111122⪨≂⫏≰102020000))⨵⪆(⫏≰2021210⋓⫏≰11220010⋳⪒(⫏≰2001210⊭↱⫏≰11022121))⪮%⊝((↽≂⫏≰100011000)+⫏≰21222120⊴⫏≰100012212)=⫏≰12221","reverse_text":"⫏≰12221=((⫏≰10012001≭⫏≰11222011)⋓(⫏≰1111002⨎⫏≰12222012))⪢(↽≂(⫏≰22111122⪨≂⫏≰102020000))⨵⪆(⫏≰2021210⋓⫏≰11220010⋳⪒(⫏≰2001210⊭↱⫏≰11022121))⪮%⊝((↽≂⫏≰100011000)+⫏≰21222120⊴⫏≰100012212)","cot":[{"info":"⫏≰10012001≭⫏≰11222011=NaN","layer":3},{"info":"⫏≰1111002⨎⫏≰12222012=⫏≰12222012","layer":3},{"info":"NaN⋓⫏≰12222012=⫏≰0","layer":2},{"info":"⫏≰22111122⪨≂⫏≰102020000=⫏≰-12021222","layer":3},{"info":"↽≂⫏≰-12021222=⫏≰101120221","layer":2},{"info":"⫏≰0⪢⫏≰101120221=NaN","layer":1},{"info":"⫏≰2021210⋓⫏≰11220010=⫏≰0","layer":3},{"info":"⫏≰2001210⊭↱⫏≰11022121=⫏≰11111211","layer":3},{"info":"⫏≰0⋳⪒⫏≰11111211=⫏≰-11220110","layer":2},{"info":"↽≂⫏≰100011000=⫏≰-200022000","layer":3},{"info":"⫏≰21222120⊴⫏≰100012212=NaN","layer":3},{"info":"⫏≰-200022000+NaN=NaN","layer":2},{"info":"⫏≰-11220110⪮%⊝NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫏≰12221","layer":0}]}
{"id":88,"expression_no_base_symbol":"(($1260$⩤)⫸⊐$1109$∑⇟⊟$3094$)⨟⋌⩍($1566$⨪↰⇹$1201$/$6953$⨟⋌⩍$2457$)⪘⫢(($4675$⫌⩹⨱)⪢($5002$⊉≛↸$3971$)⨸⪁(($7434$∲⫓$2387$)⊪))","expression":"((⫏≰1201200⩤)⫸⊐⫏≰1112002∑⇟⊟⫏≰11020121)⨟⋌⩍(⫏≰2011000⨪↰⇹⫏≰1122111/⫏≰100112112⨟⋌⩍⫏≰10101000)⪘⫢((⫏≰20102011⫌⩹⨱)⪢(⫏≰20212021⊉≛↸⫏≰12110002)⨸⪁((⫏≰101012100∲⫓⫏≰10021102)⊪))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13006,"operation_count":14,"complexity_ratio":929.0,"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":1260,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1109,"base":3},"right_expr":{"type":"numeric_atoms","value":3094,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1566,"base":3},"right_expr":{"type":"numeric_atoms","value":1201,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6953,"base":3},"right_expr":{"type":"numeric_atoms","value":2457,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4675,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5002,"base":3},"right_expr":{"type":"numeric_atoms","value":3971,"base":3}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7434,"base":3},"right_expr":{"type":"numeric_atoms","value":2387,"base":3}}}}},"used_operators":["oacrs7FA3X","rGHVDoGpnC","mqXw5SEYmG","Z2TMIBDE3Q","U7g4x0WXJJ","XhwjNDsVaA","tmPS8pqC7x","g55IO6H4Gj","dWAJyo7jo9","EBcxylXtPf","DZ8iAZOCBD","zVYPLywUTj","i8ToyICDmI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1260","layer":4},{"info":"compute unary expreesion, input=1260, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1260","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=3094","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=3094, 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=-1260, 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=1566","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=1201, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1566","layer":3},{"info":"number node, value=6953","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=6953, right_input=2457, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1566, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, 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=4675","layer":4},{"info":"compute unary expreesion, input=4675, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=10751","layer":3},{"info":"number node, value=5002","layer":4},{"info":"number node, value=3971","layer":4},{"info":"compute binary expreesion, left_input=5002, right_input=3971, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10004","layer":3},{"info":"compute binary expreesion, left_input=10751, right_input=10004, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=7434","layer":4},{"info":"number node, value=2387","layer":4},{"info":"compute binary expreesion, left_input=7434, right_input=2387, 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 = 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 = 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 = 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":3,"result_base":3,"text":"((⫏≰1201200⩤)⫸⊐⫏≰1112002∑⇟⊟⫏≰11020121)⨟⋌⩍(⫏≰2011000⨪↰⇹⫏≰1122111/⫏≰100112112⨟⋌⩍⫏≰10101000)⪘⫢((⫏≰20102011⫌⩹⨱)⪢(⫏≰20212021⊉≛↸⫏≰12110002)⨸⪁((⫏≰101012100∲⫓⫏≰10021102)⊪))=NaN","reverse_text":"NaN=((⫏≰1201200⩤)⫸⊐⫏≰1112002∑⇟⊟⫏≰11020121)⨟⋌⩍(⫏≰2011000⨪↰⇹⫏≰1122111/⫏≰100112112⨟⋌⩍⫏≰10101000)⪘⫢((⫏≰20102011⫌⩹⨱)⪢(⫏≰20212021⊉≛↸⫏≰12110002)⨸⪁((⫏≰101012100∲⫓⫏≰10021102)⊪))","cot":[{"info":"⫏≰1201200⩤=⫏≰-1201200","layer":3},{"info":"⫏≰1112002∑⇟⊟⫏≰11020121=NaN","layer":3},{"info":"⫏≰-1201200⫸⊐NaN=⫏≰1022212","layer":2},{"info":"⫏≰2011000⨪↰⇹⫏≰1122111=⫏≰2011000","layer":3},{"info":"⫏≰100112112⨟⋌⩍⫏≰10101000=NaN","layer":3},{"info":"⫏≰2011000/NaN=NaN","layer":2},{"info":"⫏≰1022212⨟⋌⩍NaN=NaN","layer":1},{"info":"⫏≰20102011⫌⩹⨱=⫏≰112202012","layer":3},{"info":"⫏≰20212021⊉≛↸⫏≰12110002=⫏≰111201112","layer":3},{"info":"⫏≰112202012⪢⫏≰111201112=NaN","layer":2},{"info":"⫏≰101012100∲⫓⫏≰10021102=⫏≰0","layer":3},{"info":"⫏≰0⊪=⫏≰0","layer":2},{"info":"NaN⨸⪁⫏≰0=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":89,"expression_no_base_symbol":"$7448$∑⇟⊟$6257$⋝⋈⪟($1024$-$3426$)⨸⪁(⨈⫕$2203$∀⇚≩$1029$)⨸⪁(($4333$≭$3905$)∼($3303$⨵⪆$4449$)≦≮≮)","expression":"⫏≰101012212∑⇟⊟⫏≰22120202⋝⋈⪟(⫏≰1101221-⫏≰11200220)⨸⪁(⨈⫕⫏≰10000121∀⇚≩⫏≰1102010)⨸⪁((⫏≰12221111≭⫏≰12100122)∼(⫏≰11112100⨵⪆⫏≰20002210)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16484,"operation_count":11,"complexity_ratio":1498.5454545454545,"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":7448,"base":3},"right_expr":{"type":"numeric_atoms","value":6257,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1024,"base":3},"right_expr":{"type":"numeric_atoms","value":3426,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2203,"base":3},"right_expr":{"type":"numeric_atoms","value":1029,"base":3}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4333,"base":3},"right_expr":{"type":"numeric_atoms","value":3905,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3303,"base":3},"right_expr":{"type":"numeric_atoms","value":4449,"base":3}}}}},"used_operators":["g55IO6H4Gj","2DDjHMKMc0","U7g4x0WXJJ","rysDP5nf3Z","megm06wKyl","LRNGc0VcxI","D4vGDi5EA2","DyGG3AbaNP","rxpJgHHUmx","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7448","layer":4},{"info":"number node, value=6257","layer":4},{"info":"compute binary expreesion, left_input=7448, right_input=6257, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=3426","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=3426, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2402","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2402, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2203","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=1029, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=4333","layer":4},{"info":"number node, value=3905","layer":4},{"info":"compute binary expreesion, left_input=4333, right_input=3905, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3303","layer":4},{"info":"number node, value=4449","layer":4},{"info":"compute binary expreesion, left_input=3303, right_input=4449, 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 = 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫏≰101012212∑⇟⊟⫏≰22120202⋝⋈⪟(⫏≰1101221-⫏≰11200220)⨸⪁(⨈⫕⫏≰10000121∀⇚≩⫏≰1102010)⨸⪁((⫏≰12221111≭⫏≰12100122)∼(⫏≰11112100⨵⪆⫏≰20002210)≦≮≮)=NaN","reverse_text":"NaN=⫏≰101012212∑⇟⊟⫏≰22120202⋝⋈⪟(⫏≰1101221-⫏≰11200220)⨸⪁(⨈⫕⫏≰10000121∀⇚≩⫏≰1102010)⨸⪁((⫏≰12221111≭⫏≰12100122)∼(⫏≰11112100⨵⪆⫏≰20002210)≦≮≮)","cot":[{"info":"⫏≰101012212∑⇟⊟⫏≰22120202=NaN","layer":3},{"info":"⫏≰1101221-⫏≰11200220=⫏≰-10021222","layer":3},{"info":"NaN⋝⋈⪟⫏≰-10021222=NaN","layer":2},{"info":"⫏≰10000121∀⇚≩⫏≰1102010=NaN","layer":3},{"info":"⨈⫕NaN=⫏≰-210","layer":2},{"info":"NaN⨸⪁⫏≰-210=NaN","layer":1},{"info":"⫏≰12221111≭⫏≰12100122=NaN","layer":3},{"info":"⫏≰11112100⨵⪆⫏≰20002210=⫏≰12221","layer":3},{"info":"NaN∼⫏≰12221=⫏≰0","layer":2},{"info":"⫏≰0≦≮≮=⫏≰0","layer":1},{"info":"NaN⨸⪁⫏≰0=NaN","layer":0}]}
{"id":90,"expression_no_base_symbol":"(($2733$⩚⊴⇥$1682$)⨰$2313$⪘⫢$3058$%(($1342$⫌⩹⨱)/($9154$⊭∹↮)))⨰(⪲⇎(∥⊫$1033$⫸⊐$3264$))","expression":"((⫏≰10202020⩚⊴⇥⫏≰2022022)⨰⫏≰10011200⪘⫢⫏≰11012021%((⫏≰1211201⫌⩹⨱)/(⫏≰110120001⊭∹↮)))⨰(⪲⇎(∥⊫⫏≰1102021⫸⊐⫏≰11110220))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":75,"operation_count":11,"complexity_ratio":6.818181818181818,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2733,"base":3},"right_expr":{"type":"numeric_atoms","value":1682,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2313,"base":3},"right_expr":{"type":"numeric_atoms","value":3058,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1342,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":9154,"base":3}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1033,"base":3},"right_expr":{"type":"numeric_atoms","value":3264,"base":3}}}}},"used_operators":["eewbuw0ToL","k8jYdgA6NY","NTOWxs364D","oacrs7FA3X","XhwjNDsVaA","EBcxylXtPf","xNBdhnnwKq","XPYlsWDdGa","P8v4zCKN1o","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2733","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=2733, right_input=1682, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4536","layer":3},{"info":"number node, value=2313","layer":4},{"info":"number node, value=3058","layer":4},{"info":"compute binary expreesion, left_input=2313, right_input=3058, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4502","layer":3},{"info":"compute binary expreesion, left_input=-4536, right_input=4502, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-9028","layer":2},{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4085","layer":3},{"info":"number node, value=9154","layer":4},{"info":"compute unary expreesion, input=9154, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=18308","layer":3},{"info":"compute binary expreesion, left_input=4085, right_input=18308, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=-9028, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1033","layer":4},{"info":"number node, value=3264","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=3264, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12931","layer":3},{"info":"compute unary expreesion, input=12931, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=13799","layer":2},{"info":"compute unary expreesion, input=13799, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=27598","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=27598, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10202020⩚⊴⇥⫏≰2022022)⨰⫏≰10011200⪘⫢⫏≰11012021%((⫏≰1211201⫌⩹⨱)/(⫏≰110120001⊭∹↮)))⨰(⪲⇎(∥⊫⫏≰1102021⫸⊐⫏≰11110220))=NaN","reverse_text":"NaN=((⫏≰10202020⩚⊴⇥⫏≰2022022)⨰⫏≰10011200⪘⫢⫏≰11012021%((⫏≰1211201⫌⩹⨱)/(⫏≰110120001⊭∹↮)))⨰(⪲⇎(∥⊫⫏≰1102021⫸⊐⫏≰11110220))","cot":[{"info":"⫏≰10202020⩚⊴⇥⫏≰2022022=⫏≰-20020000","layer":3},{"info":"⫏≰10011200⪘⫢⫏≰11012021=⫏≰20011202","layer":3},{"info":"⫏≰-20020000⨰⫏≰20011202=⫏≰-110101101","layer":2},{"info":"⫏≰1211201⫌⩹⨱=⫏≰12121022","layer":3},{"info":"⫏≰110120001⊭∹↮=⫏≰221010002","layer":3},{"info":"⫏≰12121022/⫏≰221010002=⫏≰0","layer":2},{"info":"⫏≰-110101101%⫏≰0=NaN","layer":1},{"info":"⫏≰1102021⫸⊐⫏≰11110220=⫏≰122201221","layer":3},{"info":"∥⊫⫏≰122201221=⫏≰200221002","layer":2},{"info":"⪲⇎⫏≰200221002=⫏≰1101212011","layer":1},{"info":"NaN⨰⫏≰1101212011=NaN","layer":0}]}
{"id":91,"expression_no_base_symbol":"(⩦⩻⨪($4151$⩚⊴⇥$5885$⨵⪆(↽≂$4118$)))∲⫓(($3114$⫡⨏$3270$)⪠⩆⊳)⊉≛↸((⩦⩻⨪$1671$)⩨$2089$⪮%⊝$1409$)","expression":"(⩦⩻⨪(⫏≰12200202⩚⊴⇥⫏≰22001222⨵⪆(↽≂⫏≰12122112)))∲⫓((⫏≰11021100⫡⨏⫏≰11111010)⪠⩆⊳)⊉≛↸((⩦⩻⨪⫏≰2021220)⩨⫏≰2212101⪮%⊝⫏≰1221012)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":43,"operation_count":11,"complexity_ratio":3.909090909090909,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4151,"base":3},"right_expr":{"type":"numeric_atoms","value":5885,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4118,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3114,"base":3},"right_expr":{"type":"numeric_atoms","value":3270,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1671,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2089,"base":3},"right_expr":{"type":"numeric_atoms","value":1409,"base":3}}}}},"used_operators":["i8ToyICDmI","2td37pGCOC","2DQ55sFlQl","NTOWxs364D","u6S6b8DprG","DZ8iAZOCBD","JLbD19bQDL","QMFrweE19q","2DlMacCsIx","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4151","layer":4},{"info":"number node, value=5885","layer":4},{"info":"compute binary expreesion, left_input=4151, right_input=5885, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10157","layer":3},{"info":"number node, value=4118","layer":4},{"info":"compute unary expreesion, input=4118, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8236","layer":3},{"info":"compute binary expreesion, left_input=-10157, right_input=-8236, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=160","layer":1},{"info":"number node, value=3114","layer":4},{"info":"number node, value=3270","layer":4},{"info":"compute binary expreesion, left_input=3114, right_input=3270, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22893","layer":3},{"info":"compute unary expreesion, input=22893, 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=1671","layer":4},{"info":"compute unary expreesion, input=1671, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1671","layer":3},{"info":"number node, value=2089","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=1409, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4494","layer":3},{"info":"compute binary expreesion, left_input=1671, right_input=4494, 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=0, right_input=-6, 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=160, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⩦⩻⨪(⫏≰12200202⩚⊴⇥⫏≰22001222⨵⪆(↽≂⫏≰12122112)))∲⫓((⫏≰11021100⫡⨏⫏≰11111010)⪠⩆⊳)⊉≛↸((⩦⩻⨪⫏≰2021220)⩨⫏≰2212101⪮%⊝⫏≰1221012)=⫏≰12221","reverse_text":"⫏≰12221=(⩦⩻⨪(⫏≰12200202⩚⊴⇥⫏≰22001222⨵⪆(↽≂⫏≰12122112)))∲⫓((⫏≰11021100⫡⨏⫏≰11111010)⪠⩆⊳)⊉≛↸((⩦⩻⨪⫏≰2021220)⩨⫏≰2212101⪮%⊝⫏≰1221012)","cot":[{"info":"⫏≰12200202⩚⊴⇥⫏≰22001222=⫏≰-111221012","layer":3},{"info":"↽≂⫏≰12122112=⫏≰-102022001","layer":3},{"info":"⫏≰-111221012⨵⪆⫏≰-102022001=⫏≰12221","layer":2},{"info":"⩦⩻⨪⫏≰12221=⫏≰12221","layer":1},{"info":"⫏≰11021100⫡⨏⫏≰11111010=⫏≰1011101220","layer":3},{"info":"⫏≰1011101220⪠⩆⊳=⫏≰0","layer":2},{"info":"⩦⩻⨪⫏≰2021220=⫏≰2021220","layer":3},{"info":"⫏≰2212101⪮%⊝⫏≰1221012=⫏≰20011110","layer":3},{"info":"⫏≰2021220⩨⫏≰20011110=⫏≰-20","layer":2},{"info":"⫏≰0⊉≛↸⫏≰-20=⫏≰0","layer":1},{"info":"⫏≰12221∲⫓⫏≰0=⫏≰12221","layer":0}]}
{"id":92,"expression_no_base_symbol":"(($2751$≹⇙⪍$6214$⪐)⋳⪒($2785$⨐⩸⫘$1372$⨸⪁$1073$⩷∴$4166$))≧⫂∧($1273$⨓$3259$+⇶⊼$1286$⪘⫢$1934$*$1150$+⇶⊼$1863$⫸⊐(≉$1049$))","expression":"((⫏≰10202220≹⇙⪍⫏≰22112011⪐)⋳⪒(⫏≰10211011⨐⩸⫘⫏≰1212211⨸⪁⫏≰1110202⩷∴⫏≰12201022))≧⫂∧(⫏≰1202011⨓⫏≰11110201+⇶⊼⫏≰1202122⪘⫢⫏≰2122122*⫏≰1120121+⇶⊼⫏≰2120000⫸⊐(≉⫏≰1102212))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3310,"operation_count":14,"complexity_ratio":236.42857142857142,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2751,"base":3},"right_expr":{"type":"numeric_atoms","value":6214,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2785,"base":3},"right_expr":{"type":"numeric_atoms","value":1372,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1073,"base":3},"right_expr":{"type":"numeric_atoms","value":4166,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1273,"base":3},"right_expr":{"type":"numeric_atoms","value":3259,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1286,"base":3},"right_expr":{"type":"numeric_atoms","value":1934,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1150,"base":3},"right_expr":{"type":"numeric_atoms","value":1863,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1049,"base":3}}}}},"used_operators":["Ph9nP6C5qx","12rbrZMWeM","eH2TOUuTDT","AHs5Up7iyr","g55IO6H4Gj","fu6greOZ01","9FxExcQeMw","9HNa5Wba9A","TpPTUOHfaN","3ViojmjbAp","oacrs7FA3X","mqXw5SEYmG","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2751","layer":4},{"info":"number node, value=6214","layer":4},{"info":"compute binary expreesion, left_input=2751, right_input=6214, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=2785","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=2785, right_input=1372, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=4166","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=4166, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6218","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6218, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=1273","layer":4},{"info":"number node, value=3259","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=3259, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3262","layer":3},{"info":"number node, value=1286","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=1934, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2448","layer":3},{"info":"compute binary expreesion, left_input=-3262, right_input=2448, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1150","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=1863, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1049","layer":4},{"info":"compute unary expreesion, input=1049, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1580","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1580, 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 = 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":3,"result_base":3,"text":"((⫏≰10202220≹⇙⪍⫏≰22112011⪐)⋳⪒(⫏≰10211011⨐⩸⫘⫏≰1212211⨸⪁⫏≰1110202⩷∴⫏≰12201022))≧⫂∧(⫏≰1202011⨓⫏≰11110201+⇶⊼⫏≰1202122⪘⫢⫏≰2122122*⫏≰1120121+⇶⊼⫏≰2120000⫸⊐(≉⫏≰1102212))=NaN","reverse_text":"NaN=((⫏≰10202220≹⇙⪍⫏≰22112011⪐)⋳⪒(⫏≰10211011⨐⩸⫘⫏≰1212211⨸⪁⫏≰1110202⩷∴⫏≰12201022))≧⫂∧(⫏≰1202011⨓⫏≰11110201+⇶⊼⫏≰1202122⪘⫢⫏≰2122122*⫏≰1120121+⇶⊼⫏≰2120000⫸⊐(≉⫏≰1102212))","cot":[{"info":"⫏≰10202220≹⇙⪍⫏≰22112011=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"⫏≰10211011⨐⩸⫘⫏≰1212211=NaN","layer":3},{"info":"⫏≰1110202⩷∴⫏≰12201022=⫏≰-22112022","layer":3},{"info":"NaN⨸⪁⫏≰-22112022=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⫏≰1202011⨓⫏≰11110201=⫏≰-11110211","layer":3},{"info":"⫏≰1202122⪘⫢⫏≰2122122=⫏≰10100200","layer":3},{"info":"⫏≰-11110211+⇶⊼⫏≰10100200=NaN","layer":2},{"info":"⫏≰1120121+⇶⊼⫏≰2120000=NaN","layer":3},{"info":"≉⫏≰1102212=⫏≰2011112","layer":3},{"info":"NaN⫸⊐⫏≰2011112=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":93,"expression_no_base_symbol":"≤/(($2852$⇼⇔∾$2699$)∀⇚≩($2183$⪄$2563$)∲⫓(⪝⪂⫅$6055$)↬(⪲⇎$4668$))","expression":"≤/((⫏≰10220122⇼⇔∾⫏≰10200222)∀⇚≩(⫏≰2222212⪄⫏≰10111221)∲⫓(⪝⪂⫅⫏≰22022021)↬(⪲⇎⫏≰20101220))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1324,"operation_count":8,"complexity_ratio":165.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2852,"base":3},"right_expr":{"type":"numeric_atoms","value":2699,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2183,"base":3},"right_expr":{"type":"numeric_atoms","value":2563,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6055,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4668,"base":3}}}}},"used_operators":["eLAdDNolq6","i8ToyICDmI","LRNGc0VcxI","tifHPKVTfV","SUmda5xLS4","B5M0gjZbta","XTarYq4gQB","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2852","layer":4},{"info":"number node, value=2699","layer":4},{"info":"compute binary expreesion, left_input=2852, right_input=2699, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-153","layer":3},{"info":"number node, value=2183","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=2183, right_input=2563, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-329425","layer":3},{"info":"compute binary expreesion, left_input=-153, right_input=-329425, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6055","layer":4},{"info":"compute unary expreesion, input=6055, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-890085","layer":3},{"info":"number node, value=4668","layer":4},{"info":"compute unary expreesion, input=4668, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9336","layer":3},{"info":"compute binary expreesion, left_input=-890085, right_input=9336, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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":3,"result_base":3,"text":"≤/((⫏≰10220122⇼⇔∾⫏≰10200222)∀⇚≩(⫏≰2222212⪄⫏≰10111221)∲⫓(⪝⪂⫅⫏≰22022021)↬(⪲⇎⫏≰20101220))=NaN","reverse_text":"NaN=≤/((⫏≰10220122⇼⇔∾⫏≰10200222)∀⇚≩(⫏≰2222212⪄⫏≰10111221)∲⫓(⪝⪂⫅⫏≰22022021)↬(⪲⇎⫏≰20101220))","cot":[{"info":"⫏≰10220122⇼⇔∾⫏≰10200222=⫏≰-12200","layer":3},{"info":"⫏≰2222212⪄⫏≰10111221=⫏≰-121201212221","layer":3},{"info":"⫏≰-12200∀⇚≩⫏≰-121201212221=NaN","layer":2},{"info":"⪝⪂⫅⫏≰22022021=⫏≰-1200012222010","layer":3},{"info":"⪲⇎⫏≰20101220=⫏≰110210210","layer":3},{"info":"⫏≰-1200012222010↬⫏≰110210210=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":94,"expression_no_base_symbol":"((⫓⪴($5630$⪄$7545$))⨸⪁((⪝⪂⫅$1259$)/($5606$⨵⪆$1355$)))⨟⋌⩍($2406$⨓$1898$↺$1098$⨰$2080$⨵⪆($1368$*$3659$)⩚⊴⇥$4375$⪘⫢$2574$)","expression":"((⫓⪴(⫏≰21201112⪄⫏≰101100110))⨸⪁((⪝⪂⫅⫏≰1201122)/(⫏≰21200122⨵⪆⫏≰1212012)))⨟⋌⩍(⫏≰10022010⨓⫏≰2121022↺⫏≰1111200⨰⫏≰2212001⨵⪆(⫏≰1212200*⫏≰12000112)⩚⊴⇥⫏≰20000001⪘⫢⫏≰10112100)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":864853,"operation_count":14,"complexity_ratio":61775.21428571428,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5630,"base":3},"right_expr":{"type":"numeric_atoms","value":7545,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1259,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5606,"base":3},"right_expr":{"type":"numeric_atoms","value":1355,"base":3}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2406,"base":3},"right_expr":{"type":"numeric_atoms","value":1898,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1098,"base":3},"right_expr":{"type":"numeric_atoms","value":2080,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1368,"base":3},"right_expr":{"type":"numeric_atoms","value":3659,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4375,"base":3},"right_expr":{"type":"numeric_atoms","value":2574,"base":3}}}}},"used_operators":["rGHVDoGpnC","g55IO6H4Gj","eLxqMNBOBk","SUmda5xLS4","XhwjNDsVaA","XTarYq4gQB","2DQ55sFlQl","7j4O788W3g","3ViojmjbAp","eewbuw0ToL","NTOWxs364D","9HNa5Wba9A","oacrs7FA3X"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5630","layer":4},{"info":"number node, value=7545","layer":4},{"info":"compute binary expreesion, left_input=5630, right_input=7545, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-859509","layer":3},{"info":"compute unary expreesion, input=-859509, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":2},{"info":"number node, value=1259","layer":4},{"info":"compute unary expreesion, input=1259, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-185073","layer":3},{"info":"number node, value=5606","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=5606, right_input=1355, 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=-185073, right_input=160, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1157","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-1157, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=inf","layer":1},{"info":"number node, value=2406","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=2406, right_input=1898, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1901","layer":3},{"info":"number node, value=1098","layer":4},{"info":"number node, value=2080","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=2080, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-972","layer":3},{"info":"compute binary expreesion, left_input=-1901, right_input=-972, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-972","layer":2},{"info":"number node, value=1368","layer":4},{"info":"number node, value=3659","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=3659, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5005512","layer":3},{"info":"number node, value=4375","layer":4},{"info":"number node, value=2574","layer":4},{"info":"compute binary expreesion, left_input=4375, right_input=2574, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8626","layer":3},{"info":"compute binary expreesion, left_input=5005512, right_input=8626, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5014259","layer":2},{"info":"compute binary expreesion, left_input=-972, right_input=-5014259, 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=inf, 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=nan","layer":0}],"base":3,"result_base":3,"text":"((⫓⪴(⫏≰21201112⪄⫏≰101100110))⨸⪁((⪝⪂⫅⫏≰1201122)/(⫏≰21200122⨵⪆⫏≰1212012)))⨟⋌⩍(⫏≰10022010⨓⫏≰2121022↺⫏≰1111200⨰⫏≰2212001⨵⪆(⫏≰1212200*⫏≰12000112)⩚⊴⇥⫏≰20000001⪘⫢⫏≰10112100)=NaN","reverse_text":"NaN=((⫓⪴(⫏≰21201112⪄⫏≰101100110))⨸⪁((⪝⪂⫅⫏≰1201122)/(⫏≰21200122⨵⪆⫏≰1212012)))⨟⋌⩍(⫏≰10022010⨓⫏≰2121022↺⫏≰1111200⨰⫏≰2212001⨵⪆(⫏≰1212200*⫏≰12000112)⩚⊴⇥⫏≰20000001⪘⫢⫏≰10112100)","cot":[{"info":"⫏≰21201112⪄⫏≰101100110=⫏≰-1121200000200","layer":3},{"info":"⫓⪴⫏≰-1121200000200=Inf","layer":2},{"info":"⪝⪂⫅⫏≰1201122=⫏≰-100101212120","layer":3},{"info":"⫏≰21200122⨵⪆⫏≰1212012=⫏≰12221","layer":3},{"info":"⫏≰-100101212120/⫏≰12221=⫏≰-1120212","layer":2},{"info":"Inf⨸⪁⫏≰-1120212=Inf","layer":1},{"info":"⫏≰10022010⨓⫏≰2121022=⫏≰-2121102","layer":3},{"info":"⫏≰1111200⨰⫏≰2212001=⫏≰-1100000","layer":3},{"info":"⫏≰-2121102↺⫏≰-1100000=⫏≰-1100000","layer":2},{"info":"⫏≰1212200*⫏≰12000112=⫏≰100102022021100","layer":3},{"info":"⫏≰20000001⪘⫢⫏≰10112100=⫏≰102211111","layer":3},{"info":"⫏≰100102022021100⩚⊴⇥⫏≰102211111=⫏≰-100102202021022","layer":2},{"info":"⫏≰-1100000⨵⪆⫏≰-100102202021022=⫏≰12221","layer":1},{"info":"Inf⨟⋌⩍⫏≰12221=NaN","layer":0}]}
{"id":95,"expression_no_base_symbol":"((($1681$⫸⊐$3703$)⨳⩥⨓$6686$⪛$7061$)⩤)⋥≓≎($1816$≧⫂∧$5232$⨳⩥⨓(⊄⩳↩$1457$))⋥≓≎(($3438$⊠≄⫣)⇼⇔∾(∂$3528$))","expression":"(((⫏≰2022021⫸⊐⫏≰12002011)⨳⩥⨓⫏≰100011122⪛⫏≰100200112)⩤)⋥≓≎(⫏≰2111021≧⫂∧⫏≰21011210⨳⩥⨓(⊄⩳↩⫏≰1222222))⋥≓≎((⫏≰11201100⊠≄⫣)⇼⇔∾(∂⫏≰11211200))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":51,"operation_count":12,"complexity_ratio":4.25,"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":1681,"base":3},"right_expr":{"type":"numeric_atoms","value":3703,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6686,"base":3},"right_expr":{"type":"numeric_atoms","value":7061,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1816,"base":3},"right_expr":{"type":"numeric_atoms","value":5232,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1457,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3438,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3528,"base":3}}}}},"used_operators":["Qy55tPpLXF","Z2TMIBDE3Q","nCS4ZIUYfx","mqXw5SEYmG","uFcxV4UQCh","Ph9nP6C5qx","8w2t5hMYqp","tifHPKVTfV","DIvbN7qnHd","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⫏≰-101202011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1681","layer":4},{"info":"number node, value=3703","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=3703, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14687","layer":3},{"info":"number node, value=6686","layer":4},{"info":"number node, value=7061","layer":4},{"info":"compute binary expreesion, left_input=6686, right_input=7061, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=6686","layer":3},{"info":"compute binary expreesion, left_input=14687, right_input=6686, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-8001","layer":2},{"info":"compute unary expreesion, input=-8001, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=8001","layer":1},{"info":"number node, value=1816","layer":4},{"info":"number node, value=5232","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=5232, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4759","layer":3},{"info":"number node, value=1457","layer":4},{"info":"compute unary expreesion, input=1457, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4371","layer":3},{"info":"compute binary expreesion, left_input=4759, right_input=-4371, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-9130","layer":2},{"info":"number node, value=3438","layer":4},{"info":"compute unary expreesion, input=3438, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3528","layer":4},{"info":"compute unary expreesion, input=3528, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9130, 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=8001, right_input=67, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-7834","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2022021⫸⊐⫏≰12002011)⨳⩥⨓⫏≰100011122⪛⫏≰100200112)⩤)⋥≓≎(⫏≰2111021≧⫂∧⫏≰21011210⨳⩥⨓(⊄⩳↩⫏≰1222222))⋥≓≎((⫏≰11201100⊠≄⫣)⇼⇔∾(∂⫏≰11211200))=⫏≰-101202011","reverse_text":"⫏≰-101202011=(((⫏≰2022021⫸⊐⫏≰12002011)⨳⩥⨓⫏≰100011122⪛⫏≰100200112)⩤)⋥≓≎(⫏≰2111021≧⫂∧⫏≰21011210⨳⩥⨓(⊄⩳↩⫏≰1222222))⋥≓≎((⫏≰11201100⊠≄⫣)⇼⇔∾(∂⫏≰11211200))","cot":[{"info":"⫏≰2022021⫸⊐⫏≰12002011=⫏≰202010222","layer":3},{"info":"⫏≰100011122⪛⫏≰100200112=⫏≰100011122","layer":3},{"info":"⫏≰202010222⨳⩥⨓⫏≰100011122=⫏≰-101222100","layer":2},{"info":"⫏≰-101222100⩤=⫏≰101222100","layer":1},{"info":"⫏≰2111021≧⫂∧⫏≰21011210=⫏≰20112021","layer":3},{"info":"⊄⩳↩⫏≰1222222=⫏≰-12222220","layer":3},{"info":"⫏≰20112021⨳⩥⨓⫏≰-12222220=⫏≰-110112011","layer":2},{"info":"⫏≰11201100⊠≄⫣=⫏≰0","layer":3},{"info":"∂⫏≰11211200=NaN","layer":3},{"info":"⫏≰0⇼⇔∾NaN=NaN","layer":2},{"info":"⫏≰-110112011⋥≓≎NaN=⫏≰2111","layer":1},{"info":"⫏≰101222100⋥≓≎⫏≰2111=⫏≰-101202011","layer":0}]}
{"id":96,"expression_no_base_symbol":"⊄⩳↩(⨵≀≌((⊙↵-$1395$)≣⋋))","expression":"⊄⩳↩(⨵≀≌((⊙↵-⫏≰1220200)≣⋋))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1635,"operation_count":4,"complexity_ratio":408.75,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1395,"base":3}}}}},"used_operators":["8w2t5hMYqp","srAu1WTS94","Tcnh7f0tEr","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫏≰-11202110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1395","layer":4},{"info":"compute unary expreesion, input=1395, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=34","layer":2},{"info":"compute unary expreesion, input=34, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=1156","layer":1},{"info":"compute unary expreesion, input=1156, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3468","layer":0}],"base":3,"result_base":3,"text":"⊄⩳↩(⨵≀≌((⊙↵-⫏≰1220200)≣⋋))=⫏≰-11202110","reverse_text":"⫏≰-11202110=⊄⩳↩(⨵≀≌((⊙↵-⫏≰1220200)≣⋋))","cot":[{"info":"⊙↵-⫏≰1220200=⫏≰-1","layer":3},{"info":"⫏≰-1≣⋋=⫏≰1021","layer":2},{"info":"⨵≀≌⫏≰1021=⫏≰1120211","layer":1},{"info":"⊄⩳↩⫏≰1120211=⫏≰-11202110","layer":0}]}
{"id":97,"expression_no_base_symbol":"(⋗⩬⋾($2513$⋳⪒$2964$⫡⨏($2853$⫌⩹⨱)))⨟⋌⩍(($4259$≣⋋)⪮%⊝($2652$∀⇚≩$5200$)≭($1094$⨽$2649$)⊴($3684$∼$7924$))","expression":"(⋗⩬⋾(⫏≰10110002⋳⪒⫏≰11001210⫡⨏(⫏≰10220200⫌⩹⨱)))⨟⋌⩍((⫏≰12211202≣⋋)⪮%⊝(⫏≰10122020∀⇚≩⫏≰21010121)≭(⫏≰1111112⨽⫏≰10122010)⊴(⫏≰12001110∼⫏≰101212111))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20297,"operation_count":12,"complexity_ratio":1691.4166666666667,"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":2513,"base":3},"right_expr":{"type":"numeric_atoms","value":2964,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2853,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4259,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2652,"base":3},"right_expr":{"type":"numeric_atoms","value":5200,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1094,"base":3},"right_expr":{"type":"numeric_atoms","value":2649,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3684,"base":3},"right_expr":{"type":"numeric_atoms","value":7924,"base":3}}}}},"used_operators":["rGHVDoGpnC","DpFCA1CohY","QMFrweE19q","12rbrZMWeM","EBcxylXtPf","rxpJgHHUmx","IWmyXbctLI","Tcnh7f0tEr","LRNGc0VcxI","Nsiff2A1zJ","8HhzD0ZcuI","DyGG3AbaNP"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2513","layer":4},{"info":"number node, value=2964","layer":4},{"info":"compute binary expreesion, left_input=2513, right_input=2964, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1775","layer":3},{"info":"number node, value=2853","layer":4},{"info":"compute unary expreesion, input=2853, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7107","layer":3},{"info":"compute binary expreesion, left_input=1775, right_input=7107, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23872","layer":2},{"info":"compute unary expreesion, input=23872, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-71616","layer":1},{"info":"number node, value=4259","layer":4},{"info":"compute unary expreesion, input=4259, 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=2652","layer":4},{"info":"number node, value=5200","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=5200, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1094","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=2649, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3597141","layer":3},{"info":"number node, value=3684","layer":4},{"info":"number node, value=7924","layer":4},{"info":"compute binary expreesion, left_input=3684, right_input=7924, 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=-3597141, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-71616, 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":3,"result_base":3,"text":"(⋗⩬⋾(⫏≰10110002⋳⪒⫏≰11001210⫡⨏(⫏≰10220200⫌⩹⨱)))⨟⋌⩍((⫏≰12211202≣⋋)⪮%⊝(⫏≰10122020∀⇚≩⫏≰21010121)≭(⫏≰1111112⨽⫏≰10122010)⊴(⫏≰12001110∼⫏≰101212111))=NaN","reverse_text":"NaN=(⋗⩬⋾(⫏≰10110002⋳⪒⫏≰11001210⫡⨏(⫏≰10220200⫌⩹⨱)))⨟⋌⩍((⫏≰12211202≣⋋)⪮%⊝(⫏≰10122020∀⇚≩⫏≰21010121)≭(⫏≰1111112⨽⫏≰10122010)⊴(⫏≰12001110∼⫏≰101212111))","cot":[{"info":"⫏≰10110002⋳⪒⫏≰11001210=⫏≰2102202","layer":3},{"info":"⫏≰10220200⫌⩹⨱=⫏≰100202020","layer":3},{"info":"⫏≰2102202⫡⨏⫏≰100202020=⫏≰1012202011","layer":2},{"info":"⋗⩬⋾⫏≰1012202011=⫏≰-10122020110","layer":1},{"info":"⫏≰12211202≣⋋=⫏≰0","layer":3},{"info":"⫏≰10122020∀⇚≩⫏≰21010121=NaN","layer":3},{"info":"⫏≰0⪮%⊝NaN=NaN","layer":2},{"info":"⫏≰1111112⨽⫏≰10122010=⫏≰-20202202100110","layer":3},{"info":"⫏≰12001110∼⫏≰101212111=NaN","layer":3},{"info":"⫏≰-20202202100110⊴NaN=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"⫏≰-10122020110⨟⋌⩍NaN=NaN","layer":0}]}
{"id":98,"expression_no_base_symbol":"+⊝⨔((($4385$⪐)≋⫹)⪒($2004$∀⇚≩$1384$)↬$1237$≹⇙⪍$3172$)","expression":"+⊝⨔(((⫏≰20000102⪐)≋⫹)⪒(⫏≰2202020∀⇚≩⫏≰1220021)↬⫏≰1200211≹⇙⪍⫏≰11100111)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14058,"operation_count":7,"complexity_ratio":2008.2857142857142,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4385,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2004,"base":3},"right_expr":{"type":"numeric_atoms","value":1384,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1237,"base":3},"right_expr":{"type":"numeric_atoms","value":3172,"base":3}}}}},"used_operators":["DhbWaqg5eL","f6k1SAg4EE","N41Kp7NANJ","eH2TOUuTDT","B5M0gjZbta","LRNGc0VcxI","AHs5Up7iyr"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","X99M06cbEe","dWAJyo7jo9"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4385","layer":4},{"info":"compute unary expreesion, input=4385, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8770","layer":3},{"info":"compute unary expreesion, input=8770, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-17540","layer":2},{"info":"number node, value=2004","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=2004, right_input=1384, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=3172","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=3172, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-17540, 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 = 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":3,"result_base":3,"text":"+⊝⨔(((⫏≰20000102⪐)≋⫹)⪒(⫏≰2202020∀⇚≩⫏≰1220021)↬⫏≰1200211≹⇙⪍⫏≰11100111)=⫏≰2002101","reverse_text":"⫏≰2002101=+⊝⨔(((⫏≰20000102⪐)≋⫹)⪒(⫏≰2202020∀⇚≩⫏≰1220021)↬⫏≰1200211≹⇙⪍⫏≰11100111)","cot":[{"info":"⫏≰20000102⪐=⫏≰110000211","layer":3},{"info":"⫏≰110000211≋⫹=⫏≰-220001122","layer":2},{"info":"⫏≰2202020∀⇚≩⫏≰1220021=NaN","layer":3},{"info":"⫏≰1200211≹⇙⪍⫏≰11100111=NaN","layer":3},{"info":"NaN↬NaN=NaN","layer":2},{"info":"⫏≰-220001122⪒NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⫏≰2002101","layer":0}]}
{"id":99,"expression_no_base_symbol":"(($2933$⨰$1112$⨸⪁($4366$⫡⨏$1527$))↙($1028$⪨≂$1887$⋷($4501$⨵⪆$4804$)))≹⇙⪍(⨈⫕(⨵≀≌$4202$≎⊠⪸$2600$))","expression":"((⫏≰11000122⨰⫏≰1112012⨸⪁(⫏≰12222201⫡⨏⫏≰2002120))↙(⫏≰1102002⪨≂⫏≰2120220⋷(⫏≰20011201⨵⪆⫏≰20120221)))≹⇙⪍(⨈⫕(⨵≀≌⫏≰12202122≎⊠⪸⫏≰10120022))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9771,"operation_count":11,"complexity_ratio":888.2727272727273,"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":2933,"base":3},"right_expr":{"type":"numeric_atoms","value":1112,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4366,"base":3},"right_expr":{"type":"numeric_atoms","value":1527,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1028,"base":3},"right_expr":{"type":"numeric_atoms","value":1887,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4501,"base":3},"right_expr":{"type":"numeric_atoms","value":4804,"base":3}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4202,"base":3},"right_expr":{"type":"numeric_atoms","value":2600,"base":3}}}}},"used_operators":["AHs5Up7iyr","yyfyN0ffXY","g55IO6H4Gj","eewbuw0ToL","QMFrweE19q","23Mk6UjR3U","sdazOOVcIp","2DQ55sFlQl","megm06wKyl","srAu1WTS94","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2933","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=2933, right_input=1112, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1831","layer":3},{"info":"number node, value=4366","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=4366, right_input=1527, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=25667","layer":3},{"info":"compute binary expreesion, left_input=1831, right_input=25667, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=54996","layer":2},{"info":"number node, value=1028","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=1028, 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=-1616","layer":3},{"info":"number node, value=4501","layer":4},{"info":"number node, value=4804","layer":4},{"info":"compute binary expreesion, left_input=4501, right_input=4804, 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=-1616, right_input=160, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3232","layer":2},{"info":"compute binary expreesion, left_input=54996, right_input=3232, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9696","layer":1},{"info":"number node, value=4202","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=4202, right_input=2600, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1087845","layer":3},{"info":"compute unary expreesion, input=1087845, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3263535","layer":2},{"info":"compute unary expreesion, input=-3263535, 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=-9696, right_input=-21, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"((⫏≰11000122⨰⫏≰1112012⨸⪁(⫏≰12222201⫡⨏⫏≰2002120))↙(⫏≰1102002⪨≂⫏≰2120220⋷(⫏≰20011201⨵⪆⫏≰20120221)))≹⇙⪍(⨈⫕(⨵≀≌⫏≰12202122≎⊠⪸⫏≰10120022))=NaN","reverse_text":"NaN=((⫏≰11000122⨰⫏≰1112012⨸⪁(⫏≰12222201⫡⨏⫏≰2002120))↙(⫏≰1102002⪨≂⫏≰2120220⋷(⫏≰20011201⨵⪆⫏≰20120221)))≹⇙⪍(⨈⫕(⨵≀≌⫏≰12202122≎⊠⪸⫏≰10120022))","cot":[{"info":"⫏≰11000122⨰⫏≰1112012=⫏≰2111211","layer":3},{"info":"⫏≰12222201⫡⨏⫏≰2002120=⫏≰1022012122","layer":3},{"info":"⫏≰2111211⨸⪁⫏≰1022012122=⫏≰2210102220","layer":2},{"info":"⫏≰1102002⪨≂⫏≰2120220=⫏≰-2012212","layer":3},{"info":"⫏≰20011201⨵⪆⫏≰20120221=⫏≰12221","layer":3},{"info":"⫏≰-2012212⋷⫏≰12221=⫏≰11102201","layer":2},{"info":"⫏≰2210102220↙⫏≰11102201=⫏≰-111022010","layer":1},{"info":"⫏≰12202122≎⊠⪸⫏≰10120022=⫏≰2001021020120","layer":3},{"info":"⨵≀≌⫏≰2001021020120=⫏≰-20010210201200","layer":2},{"info":"⨈⫕⫏≰-20010210201200=⫏≰-210","layer":1},{"info":"⫏≰-111022010≹⇙⪍⫏≰-210=NaN","layer":0}]}
{"id":100,"expression_no_base_symbol":"(∂(($5027$⋷$2054$)⩨$3110$≧⫂∧$1152$))⋳⪒(($7326$⪨≂$1506$⫡⨏$4844$↺$1905$)∲⫓($3789$∑⇟⊟$2497$)⪮%⊝($1117$∑⇟⊟$1050$))","expression":"(∂((⫏≰20220012⋷⫏≰2211002)⩨⫏≰11021012≧⫂∧⫏≰1120200))⋳⪒((⫏≰101001100⪨≂⫏≰2001210⫡⨏⫏≰20122102↺⫏≰2121120)∲⫓(⫏≰12012100∑⇟⊟⫏≰10102111)⪮%⊝(⫏≰1112101∑⇟⊟⫏≰1102220))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":459,"operation_count":12,"complexity_ratio":38.25,"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":5027,"base":3},"right_expr":{"type":"numeric_atoms","value":2054,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3110,"base":3},"right_expr":{"type":"numeric_atoms","value":1152,"base":3}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7326,"base":3},"right_expr":{"type":"numeric_atoms","value":1506,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4844,"base":3},"right_expr":{"type":"numeric_atoms","value":1905,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3789,"base":3},"right_expr":{"type":"numeric_atoms","value":2497,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1117,"base":3},"right_expr":{"type":"numeric_atoms","value":1050,"base":3}}}}},"used_operators":["12rbrZMWeM","Uaa54Peajs","2DlMacCsIx","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","7j4O788W3g","IWmyXbctLI","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5027","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=5027, right_input=2054, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-919","layer":3},{"info":"number node, value=3110","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=1152, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=679","layer":3},{"info":"compute binary expreesion, left_input=-919, right_input=679, 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-267","layer":1},{"info":"number node, value=7326","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=7326, right_input=1506, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=11742","layer":3},{"info":"number node, value=4844","layer":4},{"info":"number node, value=1905","layer":4},{"info":"compute binary expreesion, left_input=4844, right_input=1905, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1905","layer":3},{"info":"compute binary expreesion, left_input=11742, right_input=1905, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=63303","layer":2},{"info":"number node, value=3789","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=3789, right_input=2497, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1117","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1050, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=63303, 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=-267, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(∂((⫏≰20220012⋷⫏≰2211002)⩨⫏≰11021012≧⫂∧⫏≰1120200))⋳⪒((⫏≰101001100⪨≂⫏≰2001210⫡⨏⫏≰20122102↺⫏≰2121120)∲⫓(⫏≰12012100∑⇟⊟⫏≰10102111)⪮%⊝(⫏≰1112101∑⇟⊟⫏≰1102220))=NaN","reverse_text":"NaN=(∂((⫏≰20220012⋷⫏≰2211002)⩨⫏≰11021012≧⫂∧⫏≰1120200))⋳⪒((⫏≰101001100⪨≂⫏≰2001210⫡⨏⫏≰20122102↺⫏≰2121120)∲⫓(⫏≰12012100∑⇟⊟⫏≰10102111)⪮%⊝(⫏≰1112101∑⇟⊟⫏≰1102220))","cot":[{"info":"⫏≰20220012⋷⫏≰2211002=⫏≰-1021001","layer":3},{"info":"⫏≰11021012≧⫂∧⫏≰1120200=⫏≰221011","layer":3},{"info":"⫏≰-1021001⩨⫏≰221011=⫏≰10","layer":2},{"info":"∂⫏≰10=⫏≰-100220","layer":1},{"info":"⫏≰101001100⪨≂⫏≰2001210=⫏≰121002220","layer":3},{"info":"⫏≰20122102↺⫏≰2121120=⫏≰2121120","layer":3},{"info":"⫏≰121002220⫡⨏⫏≰2121120=⫏≰10012211120","layer":2},{"info":"⫏≰12012100∑⇟⊟⫏≰10102111=NaN","layer":3},{"info":"⫏≰1112101∑⇟⊟⫏≰1102220=NaN","layer":3},{"info":"NaN⪮%⊝NaN=NaN","layer":2},{"info":"⫏≰10012211120∲⫓NaN=NaN","layer":1},{"info":"⫏≰-100220⋳⪒NaN=NaN","layer":0}]}
{"id":101,"expression_no_base_symbol":"(($1789$*$4586$)≎⊠⪸$5162$⨰$6224$⫩⊇)∑⇟⊟((($4048$⋫)⫌⩹⨱)⨳⩥⨓($3885$⋫)⨟⋌⩍($1738$⨎$3019$))","expression":"((⫏≰2110021*⫏≰20021212)≎⊠⪸⫏≰21002012⨰⫏≰22112112⫩⊇)∑⇟⊟(((⫏≰12112221⋫)⫌⩹⨱)⨳⩥⨓(⫏≰12022220⋫)⨟⋌⩍(⫏≰2101101⨎⫏≰11010211))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9754,"operation_count":11,"complexity_ratio":886.7272727272727,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1789,"base":3},"right_expr":{"type":"numeric_atoms","value":4586,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5162,"base":3},"right_expr":{"type":"numeric_atoms","value":6224,"base":3}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4048,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3885,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1738,"base":3},"right_expr":{"type":"numeric_atoms","value":3019,"base":3}}}}},"used_operators":["U7g4x0WXJJ","BjRHVeLaeN","bJkvcejdHO","9HNa5Wba9A","eewbuw0ToL","nCS4ZIUYfx","EBcxylXtPf","JL8yIekQnl","rGHVDoGpnC","rJVOvQCfKK"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1789","layer":4},{"info":"number node, value=4586","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=4586, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8204354","layer":3},{"info":"number node, value=5162","layer":4},{"info":"number node, value=6224","layer":4},{"info":"compute binary expreesion, left_input=5162, right_input=6224, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1052","layer":3},{"info":"compute binary expreesion, left_input=8204354, right_input=-1052, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-25","layer":1},{"info":"number node, value=4048","layer":4},{"info":"compute unary expreesion, input=4048, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4048","layer":3},{"info":"compute unary expreesion, input=4048, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9497","layer":2},{"info":"number node, value=3885","layer":4},{"info":"compute unary expreesion, input=3885, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3885","layer":3},{"info":"number node, value=1738","layer":4},{"info":"number node, value=3019","layer":4},{"info":"compute binary expreesion, left_input=1738, right_input=3019, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3019","layer":3},{"info":"compute binary expreesion, left_input=3885, right_input=3019, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=9497, 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=-25, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2110021*⫏≰20021212)≎⊠⪸⫏≰21002012⨰⫏≰22112112⫩⊇)∑⇟⊟(((⫏≰12112221⋫)⫌⩹⨱)⨳⩥⨓(⫏≰12022220⋫)⨟⋌⩍(⫏≰2101101⨎⫏≰11010211))=NaN","reverse_text":"NaN=((⫏≰2110021*⫏≰20021212)≎⊠⪸⫏≰21002012⨰⫏≰22112112⫩⊇)∑⇟⊟(((⫏≰12112221⋫)⫌⩹⨱)⨳⩥⨓(⫏≰12022220⋫)⨟⋌⩍(⫏≰2101101⨎⫏≰11010211))","cot":[{"info":"⫏≰2110021*⫏≰20021212=⫏≰120102211020222","layer":3},{"info":"⫏≰21002012⨰⫏≰22112112=⫏≰-1102222","layer":3},{"info":"⫏≰120102211020222≎⊠⪸⫏≰-1102222=⫏≰2111","layer":2},{"info":"⫏≰2111⫩⊇=⫏≰-221","layer":1},{"info":"⫏≰12112221⋫=⫏≰12112221","layer":3},{"info":"⫏≰12112221⫌⩹⨱=⫏≰111000202","layer":2},{"info":"⫏≰12022220⋫=⫏≰12022220","layer":3},{"info":"⫏≰2101101⨎⫏≰11010211=⫏≰11010211","layer":3},{"info":"⫏≰12022220⨟⋌⩍⫏≰11010211=NaN","layer":2},{"info":"⫏≰111000202⨳⩥⨓NaN=NaN","layer":1},{"info":"⫏≰-221∑⇟⊟NaN=NaN","layer":0}]}
{"id":102,"expression_no_base_symbol":"(($1734$⊉≛↸$2432$)⋳⪒$1558$⋝⋈⪟$1350$⪨≂($3229$⪘⫢$1757$)∀⇚≩($4314$⇼⇔∾$3789$))⫥∨⫟((($4884$⊭↱$3567$)⇋≉)⇋≉)","expression":"((⫏≰2101020⊉≛↸⫏≰10100002)⋳⪒⫏≰2010201⋝⋈⪟⫏≰1212000⪨≂(⫏≰11102121⪘⫢⫏≰2102002)∀⇚≩(⫏≰12220210⇼⇔∾⫏≰12012100))⫥∨⫟(((⫏≰20200220⊭↱⫏≰11220010)⇋≉)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":44538,"operation_count":11,"complexity_ratio":4048.909090909091,"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":1734,"base":3},"right_expr":{"type":"numeric_atoms","value":2432,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1558,"base":3},"right_expr":{"type":"numeric_atoms","value":1350,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3229,"base":3},"right_expr":{"type":"numeric_atoms","value":1757,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4314,"base":3},"right_expr":{"type":"numeric_atoms","value":3789,"base":3}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4884,"base":3},"right_expr":{"type":"numeric_atoms","value":3567,"base":3}}}}},"used_operators":["KYD54nUTWz","sdazOOVcIp","12rbrZMWeM","DZ8iAZOCBD","2DDjHMKMc0","LRNGc0VcxI","oacrs7FA3X","tifHPKVTfV","XIabStNQrY","COABgblf1C"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1734","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=2432, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3468","layer":3},{"info":"number node, value=1558","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=1558, right_input=1350, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1558","layer":3},{"info":"compute binary expreesion, left_input=3468, right_input=1558, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5091","layer":2},{"info":"number node, value=3229","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=3229, right_input=1757, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6334","layer":3},{"info":"number node, value=4314","layer":4},{"info":"number node, value=3789","layer":4},{"info":"compute binary expreesion, left_input=4314, right_input=3789, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-525","layer":3},{"info":"compute binary expreesion, left_input=6334, right_input=-525, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5091, 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=4884","layer":4},{"info":"number node, value=3567","layer":4},{"info":"compute binary expreesion, left_input=4884, right_input=3567, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2629","layer":3},{"info":"compute unary expreesion, input=-2629, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-5356","layer":2},{"info":"compute unary expreesion, input=-5356, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-10810","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10810, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2101020⊉≛↸⫏≰10100002)⋳⪒⫏≰2010201⋝⋈⪟⫏≰1212000⪨≂(⫏≰11102121⪘⫢⫏≰2102002)∀⇚≩(⫏≰12220210⇼⇔∾⫏≰12012100))⫥∨⫟(((⫏≰20200220⊭↱⫏≰11220010)⇋≉)⇋≉)=NaN","reverse_text":"NaN=((⫏≰2101020⊉≛↸⫏≰10100002)⋳⪒⫏≰2010201⋝⋈⪟⫏≰1212000⪨≂(⫏≰11102121⪘⫢⫏≰2102002)∀⇚≩(⫏≰12220210⇼⇔∾⫏≰12012100))⫥∨⫟(((⫏≰20200220⊭↱⫏≰11220010)⇋≉)⇋≉)","cot":[{"info":"⫏≰2101020⊉≛↸⫏≰10100002=⫏≰11202110","layer":3},{"info":"⫏≰2010201⋝⋈⪟⫏≰1212000=⫏≰2010201","layer":3},{"info":"⫏≰11202110⋳⪒⫏≰2010201=⫏≰20222120","layer":2},{"info":"⫏≰11102121⪘⫢⫏≰2102002=⫏≰22200121","layer":3},{"info":"⫏≰12220210⇼⇔∾⫏≰12012100=⫏≰-201110","layer":3},{"info":"⫏≰22200121∀⇚≩⫏≰-201110=NaN","layer":2},{"info":"⫏≰20222120⪨≂NaN=NaN","layer":1},{"info":"⫏≰20200220⊭↱⫏≰11220010=⫏≰-10121101","layer":3},{"info":"⫏≰-10121101⇋≉=⫏≰-21100101","layer":2},{"info":"⫏≰-21100101⇋≉=⫏≰-112211101","layer":1},{"info":"NaN⫥∨⫟⫏≰-112211101=NaN","layer":0}]}
{"id":103,"expression_no_base_symbol":"⨰⫟⨤(⨑⩽⪐((≤/$1243$)⨸⪁$1202$⋥≓≎$1240$))","expression":"⨰⫟⨤(⨑⩽⪐((≤/⫏≰1201001)⨸⪁⫏≰1122112⋥≓≎⫏≰1200221))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4228,"operation_count":5,"complexity_ratio":845.6,"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":1243,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1202,"base":3},"right_expr":{"type":"numeric_atoms","value":1240,"base":3}}}}},"used_operators":["Tw270M8GLb","AF7qkfDlqP","g55IO6H4Gj","eLAdDNolq6","Qy55tPpLXF"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1243","layer":4},{"info":"compute unary expreesion, input=1243, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-759","layer":3},{"info":"number node, value=1202","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=1240, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1311","layer":3},{"info":"compute binary expreesion, left_input=-759, right_input=1311, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1104","layer":2},{"info":"compute unary expreesion, input=1104, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-831","layer":1},{"info":"compute unary expreesion, input=-831, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤(⨑⩽⪐((≤/⫏≰1201001)⨸⪁⫏≰1122112⋥≓≎⫏≰1200221))=NaN","reverse_text":"NaN=⨰⫟⨤(⨑⩽⪐((≤/⫏≰1201001)⨸⪁⫏≰1122112⋥≓≎⫏≰1200221))","cot":[{"info":"≤/⫏≰1201001=⫏≰-1001010","layer":3},{"info":"⫏≰1122112⋥≓≎⫏≰1200221=⫏≰1210120","layer":3},{"info":"⫏≰-1001010⨸⪁⫏≰1210120=⫏≰1111220","layer":2},{"info":"⨑⩽⪐⫏≰1111220=⫏≰-1010210","layer":1},{"info":"⨰⫟⨤⫏≰-1010210=NaN","layer":0}]}
{"id":104,"expression_no_base_symbol":"((⨞⊢$2641$⪛$2173$)∑⇟⊟(⊙↵-($4267$∀⇚≩$5462$)))⊴(($2333$⨟⋌⩍$3342$≦≮≮)↬(($1412$⪒$7271$)≎⊠⪸$3691$⪛$4502$))","expression":"((⨞⊢⫏≰10121211⪛⫏≰2222111)∑⇟⊟(⊙↵-(⫏≰12212001∀⇚≩⫏≰21111022)))⊴((⫏≰10012102⨟⋌⩍⫏≰11120210≦≮≮)↬((⫏≰1221022⪒⫏≰100222022)≎⊠⪸⫏≰12001201⪛⫏≰20011202))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30193,"operation_count":12,"complexity_ratio":2516.0833333333335,"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":2641,"base":3},"right_expr":{"type":"numeric_atoms","value":2173,"base":3}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4267,"base":3},"right_expr":{"type":"numeric_atoms","value":5462,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2333,"base":3},"right_expr":{"type":"numeric_atoms","value":3342,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1412,"base":3},"right_expr":{"type":"numeric_atoms","value":7271,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3691,"base":3},"right_expr":{"type":"numeric_atoms","value":4502,"base":3}}}}},"used_operators":["Nsiff2A1zJ","U7g4x0WXJJ","xUOZtlo3hN","uFcxV4UQCh","oWn0xqSxBt","LRNGc0VcxI","B5M0gjZbta","D4vGDi5EA2","rGHVDoGpnC","bJkvcejdHO","f6k1SAg4EE"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","X99M06cbEe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2641","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=2641, right_input=2173, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=468","layer":3},{"info":"compute unary expreesion, input=468, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-642","layer":2},{"info":"number node, value=4267","layer":4},{"info":"number node, value=5462","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=5462, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-642, 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=2333","layer":4},{"info":"number node, value=3342","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=3342, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"number node, value=1412","layer":4},{"info":"number node, value=7271","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=7271, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8683","layer":3},{"info":"number node, value=3691","layer":4},{"info":"number node, value=4502","layer":4},{"info":"compute binary expreesion, left_input=3691, right_input=4502, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3691","layer":3},{"info":"compute binary expreesion, left_input=-8683, right_input=3691, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2248897","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2248897, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨞⊢⫏≰10121211⪛⫏≰2222111)∑⇟⊟(⊙↵-(⫏≰12212001∀⇚≩⫏≰21111022)))⊴((⫏≰10012102⨟⋌⩍⫏≰11120210≦≮≮)↬((⫏≰1221022⪒⫏≰100222022)≎⊠⪸⫏≰12001201⪛⫏≰20011202))=NaN","reverse_text":"NaN=((⨞⊢⫏≰10121211⪛⫏≰2222111)∑⇟⊟(⊙↵-(⫏≰12212001∀⇚≩⫏≰21111022)))⊴((⫏≰10012102⨟⋌⩍⫏≰11120210≦≮≮)↬((⫏≰1221022⪒⫏≰100222022)≎⊠⪸⫏≰12001201⪛⫏≰20011202))","cot":[{"info":"⫏≰10121211⪛⫏≰2222111=⫏≰122100","layer":3},{"info":"⨞⊢⫏≰122100=⫏≰-212210","layer":2},{"info":"⫏≰12212001∀⇚≩⫏≰21111022=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⫏≰-212210∑⇟⊟NaN=NaN","layer":1},{"info":"⫏≰10012102⨟⋌⩍⫏≰11120210=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⫏≰1221022⪒⫏≰100222022=⫏≰-102220121","layer":3},{"info":"⫏≰12001201⪛⫏≰20011202=⫏≰12001201","layer":3},{"info":"⫏≰-102220121≎⊠⪸⫏≰12001201=⫏≰11020020220111","layer":2},{"info":"NaN↬⫏≰11020020220111=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":105,"expression_no_base_symbol":"((↯⪼$2058$)∀⇚≩(⇁⨣⪵$1080$)⫥∨⫟(⨈⫕$4253$⋥≓≎$2958$))⨰(($5034$⩚⊴⇥$5156$%($4906$≣⋋))-($8022$⫥∨⫟$2560$)⨪↰⇹($7227$-$5883$))","expression":"((↯⪼⫏≰2211020)∀⇚≩(⇁⨣⪵⫏≰1111000)⫥∨⫟(⨈⫕⫏≰12211112⋥≓≎⫏≰11001120))⨰((⫏≰20220110⩚⊴⇥⫏≰21001222%(⫏≰20201201≣⋋))-(⫏≰102000010⫥∨⫟⫏≰10111211)⨪↰⇹(⫏≰100220200-⫏≰22001220))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1404,"operation_count":14,"complexity_ratio":100.28571428571429,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2058,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1080,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4253,"base":3},"right_expr":{"type":"numeric_atoms","value":2958,"base":3}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5034,"base":3},"right_expr":{"type":"numeric_atoms","value":5156,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4906,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":8022,"base":3},"right_expr":{"type":"numeric_atoms","value":2560,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7227,"base":3},"right_expr":{"type":"numeric_atoms","value":5883,"base":3}}}}},"used_operators":["eewbuw0ToL","KYD54nUTWz","LRNGc0VcxI","8jW3W4yZS5","inkyxCbjAn","megm06wKyl","Qy55tPpLXF","rysDP5nf3Z","k8jYdgA6NY","NTOWxs364D","Tcnh7f0tEr","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2058","layer":4},{"info":"compute unary expreesion, input=2058, 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=1080","layer":4},{"info":"compute unary expreesion, input=1080, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, 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=4253","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=4253, right_input=2958, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1696","layer":3},{"info":"compute unary expreesion, input=1696, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=5034","layer":4},{"info":"number node, value=5156","layer":4},{"info":"compute binary expreesion, left_input=5034, right_input=5156, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10311","layer":3},{"info":"number node, value=4906","layer":4},{"info":"compute unary expreesion, input=4906, 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=-10311, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=8022","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=8022, right_input=2560, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=7227","layer":4},{"info":"number node, value=5883","layer":4},{"info":"compute binary expreesion, left_input=7227, right_input=5883, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1344","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1344, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↯⪼⫏≰2211020)∀⇚≩(⇁⨣⪵⫏≰1111000)⫥∨⫟(⨈⫕⫏≰12211112⋥≓≎⫏≰11001120))⨰((⫏≰20220110⩚⊴⇥⫏≰21001222%(⫏≰20201201≣⋋))-(⫏≰102000010⫥∨⫟⫏≰10111211)⨪↰⇹(⫏≰100220200-⫏≰22001220))=NaN","reverse_text":"NaN=((↯⪼⫏≰2211020)∀⇚≩(⇁⨣⪵⫏≰1111000)⫥∨⫟(⨈⫕⫏≰12211112⋥≓≎⫏≰11001120))⨰((⫏≰20220110⩚⊴⇥⫏≰21001222%(⫏≰20201201≣⋋))-(⫏≰102000010⫥∨⫟⫏≰10111211)⨪↰⇹(⫏≰100220200-⫏≰22001220))","cot":[{"info":"↯⪼⫏≰2211020=⫏≰-210","layer":3},{"info":"⇁⨣⪵⫏≰1111000=NaN","layer":3},{"info":"⫏≰-210∀⇚≩NaN=NaN","layer":2},{"info":"⫏≰12211112⋥≓≎⫏≰11001120=⫏≰2022211","layer":3},{"info":"⨈⫕⫏≰2022211=⫏≰-210","layer":2},{"info":"NaN⫥∨⫟⫏≰-210=NaN","layer":1},{"info":"⫏≰20220110⩚⊴⇥⫏≰21001222=⫏≰-112010220","layer":3},{"info":"⫏≰20201201≣⋋=⫏≰0","layer":3},{"info":"⫏≰-112010220%⫏≰0=NaN","layer":2},{"info":"⫏≰102000010⫥∨⫟⫏≰10111211=NaN","layer":3},{"info":"⫏≰100220200-⫏≰22001220=⫏≰1211210","layer":3},{"info":"NaN⨪↰⇹⫏≰1211210=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"(↥(↽≂$1163$))≭(⨰⫟⨤$6820$)⪢($7001$∲⫓$1760$)↺((⨵≀≌$5844$)⪨≂(⫓⪴$2372$))⨓((↩$1786$)↺($1416$/$1258$))","expression":"(↥(↽≂⫏≰1121002))≭(⨰⫟⨤⫏≰100100121)⪢(⫏≰100121022∲⫓⫏≰2102012)↺((⨵≀≌⫏≰22000110)⪨≂(⫓⪴⫏≰10020212))⨓((↩⫏≰2110011)↺(⫏≰1221110/⫏≰1201121))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":28900,"operation_count":14,"complexity_ratio":2064.285714285714,"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":1163,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6820,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7001,"base":3},"right_expr":{"type":"numeric_atoms","value":1760,"base":3}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5844,"base":3}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2372,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1786,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1416,"base":3},"right_expr":{"type":"numeric_atoms","value":1258,"base":3}}}}},"used_operators":["7j4O788W3g","rxpJgHHUmx","A8NUZmVepG","u6S6b8DprG","dWAJyo7jo9","Tw270M8GLb","i8ToyICDmI","3ViojmjbAp","sdazOOVcIp","srAu1WTS94","eLxqMNBOBk","jLgFTUHLKL","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z"],"result":"⫏≰-11","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2326","layer":3},{"info":"compute unary expreesion, input=-2326, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=20","layer":2},{"info":"number node, value=6820","layer":4},{"info":"compute unary expreesion, input=6820, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=7001","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=7001, right_input=1760, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=20, 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":"number node, value=5844","layer":4},{"info":"compute unary expreesion, input=5844, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17532","layer":3},{"info":"number node, value=2372","layer":4},{"info":"compute unary expreesion, input=2372, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5626384","layer":3},{"info":"compute binary expreesion, left_input=-17532, right_input=5626384, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-11287730","layer":2},{"info":"number node, value=1786","layer":4},{"info":"compute unary expreesion, input=1786, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11508","layer":3},{"info":"number node, value=1416","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=1258, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-11508, 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=-11287730, 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=-22, right_input=-4, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4","layer":0}],"base":3,"result_base":3,"text":"(↥(↽≂⫏≰1121002))≭(⨰⫟⨤⫏≰100100121)⪢(⫏≰100121022∲⫓⫏≰2102012)↺((⨵≀≌⫏≰22000110)⪨≂(⫓⪴⫏≰10020212))⨓((↩⫏≰2110011)↺(⫏≰1221110/⫏≰1201121))=⫏≰-11","reverse_text":"⫏≰-11=(↥(↽≂⫏≰1121002))≭(⨰⫟⨤⫏≰100100121)⪢(⫏≰100121022∲⫓⫏≰2102012)↺((⨵≀≌⫏≰22000110)⪨≂(⫓⪴⫏≰10020212))⨓((↩⫏≰2110011)↺(⫏≰1221110/⫏≰1201121))","cot":[{"info":"↽≂⫏≰1121002=⫏≰-10012011","layer":3},{"info":"↥⫏≰-10012011=⫏≰202","layer":2},{"info":"⨰⫟⨤⫏≰100100121=NaN","layer":3},{"info":"⫏≰100121022∲⫓⫏≰2102012=⫏≰0","layer":3},{"info":"NaN⪢⫏≰0=⫏≰0","layer":2},{"info":"⫏≰202≭⫏≰0=⫏≰-211","layer":1},{"info":"⨵≀≌⫏≰22000110=⫏≰-220001100","layer":3},{"info":"⫓⪴⫏≰10020212=⫏≰101120211221121","layer":3},{"info":"⫏≰-220001100⪨≂⫏≰101120211221121=⫏≰-210020110212002","layer":2},{"info":"↩⫏≰2110011=⫏≰-120210020","layer":3},{"info":"⫏≰1221110/⫏≰1201121=⫏≰1","layer":3},{"info":"⫏≰-120210020↺⫏≰1=⫏≰1","layer":2},{"info":"⫏≰-210020110212002⨓⫏≰1=⫏≰-11","layer":1},{"info":"⫏≰-211↺⫏≰-11=⫏≰-11","layer":0}]}
{"id":107,"expression_no_base_symbol":"($4709$⨽$5425$)⋓$1997$∼$6380$⨰(($3623$↙$3046$)⋓($1911$⩠))⨐⩸⫘(⊥(($3510$/$1103$)⋓(↽≂$1100$)))","expression":"(⫏≰20110102⨽⫏≰21102221)⋓⫏≰2201222∼⫏≰22202022⨰((⫏≰11222012↙⫏≰11011211)⋓(⫏≰2121210⩠))⨐⩸⫘(⊥((⫏≰11211000/⫏≰1111212)⋓(↽≂⫏≰1111202)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7879,"operation_count":12,"complexity_ratio":656.5833333333334,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4709,"base":3},"right_expr":{"type":"numeric_atoms","value":5425,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1997,"base":3},"right_expr":{"type":"numeric_atoms","value":6380,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3623,"base":3},"right_expr":{"type":"numeric_atoms","value":3046,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1911,"base":3}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3510,"base":3},"right_expr":{"type":"numeric_atoms","value":1103,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1100,"base":3}}}}},"used_operators":["fu6greOZ01","eewbuw0ToL","T2fj7uvVaJ","8HhzD0ZcuI","DyGG3AbaNP","yyfyN0ffXY","sJAwomhLZr","Q3PJZHRvZv","XhwjNDsVaA","u6S6b8DprG"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4709","layer":4},{"info":"number node, value=5425","layer":4},{"info":"compute binary expreesion, left_input=4709, right_input=5425, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-66539004","layer":3},{"info":"number node, value=1997","layer":4},{"info":"number node, value=6380","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=6380, 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=-66539004, 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=3623","layer":4},{"info":"number node, value=3046","layer":4},{"info":"compute binary expreesion, left_input=3623, right_input=3046, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9138","layer":3},{"info":"number node, value=1911","layer":4},{"info":"compute unary expreesion, input=1911, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-9138, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3510","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=3510, right_input=1103, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"number node, value=1100","layer":4},{"info":"compute unary expreesion, input=1100, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2200","layer":3},{"info":"compute binary expreesion, left_input=3, right_input=-2200, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":1},{"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":0}],"base":3,"result_base":3,"text":"(⫏≰20110102⨽⫏≰21102221)⋓⫏≰2201222∼⫏≰22202022⨰((⫏≰11222012↙⫏≰11011211)⋓(⫏≰2121210⩠))⨐⩸⫘(⊥((⫏≰11211000/⫏≰1111212)⋓(↽≂⫏≰1111202)))=NaN","reverse_text":"NaN=(⫏≰20110102⨽⫏≰21102221)⋓⫏≰2201222∼⫏≰22202022⨰((⫏≰11222012↙⫏≰11011211)⋓(⫏≰2121210⩠))⨐⩸⫘(⊥((⫏≰11211000/⫏≰1111212)⋓(↽≂⫏≰1111202)))","cot":[{"info":"⫏≰20110102⨽⫏≰21102221=⫏≰-11122012112100120","layer":3},{"info":"⫏≰2201222∼⫏≰22202022=NaN","layer":3},{"info":"⫏≰-11122012112100120⋓NaN=NaN","layer":2},{"info":"⫏≰11222012↙⫏≰11011211=⫏≰-110112110","layer":3},{"info":"⫏≰2121210⩠=⫏≰0","layer":3},{"info":"⫏≰-110112110⋓⫏≰0=⫏≰0","layer":2},{"info":"NaN⨰⫏≰0=NaN","layer":1},{"info":"⫏≰11211000/⫏≰1111212=⫏≰10","layer":3},{"info":"↽≂⫏≰1111202=⫏≰-10000111","layer":3},{"info":"⫏≰10⋓⫏≰-10000111=⫏≰0","layer":2},{"info":"⊥⫏≰0=⫏≰0","layer":1},{"info":"NaN⨐⩸⫘⫏≰0=NaN","layer":0}]}
{"id":108,"expression_no_base_symbol":"↣≠⋷((($1092$⫩⊇)⇋≉)⨐⩸⫘(($5642$⊪)⊉≛↸$1077$↙$7391$))","expression":"↣≠⋷(((⫏≰1111110⫩⊇)⇋≉)⨐⩸⫘((⫏≰21201222⊪)⊉≛↸⫏≰1110220↙⫏≰101010202))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7438,"operation_count":7,"complexity_ratio":1062.5714285714287,"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":1092,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5642,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1077,"base":3},"right_expr":{"type":"numeric_atoms","value":7391,"base":3}}}}},"used_operators":["Asc51vEJeQ","fu6greOZ01","XIabStNQrY","BjRHVeLaeN","DZ8iAZOCBD","zVYPLywUTj","yyfyN0ffXY"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"compute unary expreesion, input=1092, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1050","layer":3},{"info":"compute unary expreesion, input=-1050, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-2198","layer":2},{"info":"number node, value=5642","layer":4},{"info":"compute unary expreesion, input=5642, 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=1077","layer":4},{"info":"number node, value=7391","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=7391, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22173","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-22173, 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=-2198, 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=-2198","layer":1},{"info":"compute unary expreesion, input=-2198, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↣≠⋷(((⫏≰1111110⫩⊇)⇋≉)⨐⩸⫘((⫏≰21201222⊪)⊉≛↸⫏≰1110220↙⫏≰101010202))=NaN","reverse_text":"NaN=↣≠⋷(((⫏≰1111110⫩⊇)⇋≉)⨐⩸⫘((⫏≰21201222⊪)⊉≛↸⫏≰1110220↙⫏≰101010202))","cot":[{"info":"⫏≰1111110⫩⊇=⫏≰-1102220","layer":3},{"info":"⫏≰-1102220⇋≉=⫏≰-10000102","layer":2},{"info":"⫏≰21201222⊪=⫏≰0","layer":3},{"info":"⫏≰1110220↙⫏≰101010202=⫏≰-1010102020","layer":3},{"info":"⫏≰0⊉≛↸⫏≰-1010102020=⫏≰0","layer":2},{"info":"⫏≰-10000102⨐⩸⫘⫏≰0=⫏≰-10000102","layer":1},{"info":"↣≠⋷⫏≰-10000102=NaN","layer":0}]}
{"id":109,"expression_no_base_symbol":"(⨈⫕($1550$⩤)∀⇚≩($6806$≎⊠⪸$1669$))⩨($1503$↙$1207$⪨≂$1894$⨟⋌⩍$1963$)⋳⪒(($1797$⩨$1533$)⩠)","expression":"(⨈⫕(⫏≰2010102⩤)∀⇚≩(⫏≰100100002≎⊠⪸⫏≰2021211))⩨(⫏≰2001200↙⫏≰1122201⪨≂⫏≰2121011⨟⋌⩍⫏≰2200201)⋳⪒((⫏≰2110120⩨⫏≰2002210)⩠)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12756,"operation_count":11,"complexity_ratio":1159.6363636363637,"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":1550,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6806,"base":3},"right_expr":{"type":"numeric_atoms","value":1669,"base":3}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1503,"base":3},"right_expr":{"type":"numeric_atoms","value":1207,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1894,"base":3},"right_expr":{"type":"numeric_atoms","value":1963,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1797,"base":3},"right_expr":{"type":"numeric_atoms","value":1533,"base":3}}}}},"used_operators":["2DlMacCsIx","megm06wKyl","LRNGc0VcxI","Z2TMIBDE3Q","bJkvcejdHO","12rbrZMWeM","sdazOOVcIp","yyfyN0ffXY","rGHVDoGpnC","sJAwomhLZr"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1550","layer":3},{"info":"number node, value=6806","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=6806, right_input=1669, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1762281","layer":3},{"info":"compute binary expreesion, left_input=-1550, right_input=1762281, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=1503","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=1207, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3621","layer":3},{"info":"number node, value=1894","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=1963, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-3621, 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=1797","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=1533, 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 = 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 = 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨈⫕(⫏≰2010102⩤)∀⇚≩(⫏≰100100002≎⊠⪸⫏≰2021211))⩨(⫏≰2001200↙⫏≰1122201⪨≂⫏≰2121011⨟⋌⩍⫏≰2200201)⋳⪒((⫏≰2110120⩨⫏≰2002210)⩠)=NaN","reverse_text":"NaN=(⨈⫕(⫏≰2010102⩤)∀⇚≩(⫏≰100100002≎⊠⪸⫏≰2021211))⩨(⫏≰2001200↙⫏≰1122201⪨≂⫏≰2121011⨟⋌⩍⫏≰2200201)⋳⪒((⫏≰2110120⩨⫏≰2002210)⩠)","cot":[{"info":"⫏≰2010102⩤=⫏≰-2010102","layer":3},{"info":"⫏≰100100002≎⊠⪸⫏≰2021211=⫏≰10022112101200","layer":3},{"info":"⫏≰-2010102∀⇚≩⫏≰10022112101200=NaN","layer":2},{"info":"⨈⫕NaN=⫏≰-210","layer":1},{"info":"⫏≰2001200↙⫏≰1122201=⫏≰-11222010","layer":3},{"info":"⫏≰2121011⨟⋌⩍⫏≰2200201=NaN","layer":3},{"info":"⫏≰-11222010⪨≂NaN=NaN","layer":2},{"info":"⫏≰2110120⩨⫏≰2002210=⫏≰0","layer":3},{"info":"⫏≰0⩠=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⫏≰-210⩨NaN=NaN","layer":0}]}
{"id":110,"expression_no_base_symbol":"(((↔$1889$)%$4611$⋓$4793$)↺(⪝⪂⫅($3747$⪨≂$3387$)))⩤","expression":"(((↔⫏≰2120222)%⫏≰20022210⋓⫏≰20120112)↺(⪝⪂⫅(⫏≰12010210⪨≂⫏≰11122110)))⩤","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":179,"operation_count":7,"complexity_ratio":25.571428571428573,"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":1889,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4611,"base":3},"right_expr":{"type":"numeric_atoms","value":4793,"base":3}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3747,"base":3},"right_expr":{"type":"numeric_atoms","value":3387,"base":3}}}}},"used_operators":["Z2TMIBDE3Q","7j4O788W3g","k8jYdgA6NY","ruOEQAzv1W","T2fj7uvVaJ","XTarYq4gQB","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰20010202100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1889","layer":4},{"info":"compute unary expreesion, input=1889, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1616","layer":3},{"info":"number node, value=4611","layer":4},{"info":"number node, value=4793","layer":4},{"info":"compute binary expreesion, left_input=4611, right_input=4793, op_id = T2fj7uvVaJ 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=-1616, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3747","layer":4},{"info":"number node, value=3387","layer":4},{"info":"compute binary expreesion, left_input=3747, right_input=3387, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=822","layer":3},{"info":"compute unary expreesion, input=822, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-120834","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-120834, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-120834","layer":1},{"info":"compute unary expreesion, input=-120834, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=120834","layer":0}],"base":3,"result_base":3,"text":"(((↔⫏≰2120222)%⫏≰20022210⋓⫏≰20120112)↺(⪝⪂⫅(⫏≰12010210⪨≂⫏≰11122110)))⩤=⫏≰20010202100","reverse_text":"⫏≰20010202100=(((↔⫏≰2120222)%⫏≰20022210⋓⫏≰20120112)↺(⪝⪂⫅(⫏≰12010210⪨≂⫏≰11122110)))⩤","cot":[{"info":"↔⫏≰2120222=⫏≰-2012212","layer":3},{"info":"⫏≰20022210⋓⫏≰20120112=⫏≰0","layer":3},{"info":"⫏≰-2012212%⫏≰0=NaN","layer":2},{"info":"⫏≰12010210⪨≂⫏≰11122110=⫏≰1010110","layer":3},{"info":"⪝⪂⫅⫏≰1010110=⫏≰-20010202100","layer":2},{"info":"NaN↺⫏≰-20010202100=⫏≰-20010202100","layer":1},{"info":"⫏≰-20010202100⩤=⫏≰20010202100","layer":0}]}
{"id":111,"expression_no_base_symbol":"(($6784$⫡⨏$2299$)⪘⫢$4557$∀⇚≩$2133$⊠≄⫣)%(($1275$⇼⇔∾$6393$)≎⊠⪸(⪲⇎$1844$))∼((↣≠⋷$8223$)⩷∴$3486$⨓$1276$)","expression":"((⫏≰100022021⫡⨏⫏≰10011011)⪘⫢⫏≰20020210∀⇚≩⫏≰2221000⊠≄⫣)%((⫏≰1202020⇼⇔∾⫏≰22202210)≎⊠⪸(⪲⇎⫏≰2112022))∼((↣≠⋷⫏≰102021120)⩷∴⫏≰11210010⨓⫏≰1202021)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":59468,"operation_count":12,"complexity_ratio":4955.666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6784,"base":3},"right_expr":{"type":"numeric_atoms","value":2299,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4557,"base":3},"right_expr":{"type":"numeric_atoms","value":2133,"base":3}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1275,"base":3},"right_expr":{"type":"numeric_atoms","value":6393,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1844,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":8223,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3486,"base":3},"right_expr":{"type":"numeric_atoms","value":1276,"base":3}}}}},"used_operators":["k8jYdgA6NY","DIvbN7qnHd","oacrs7FA3X","QMFrweE19q","LRNGc0VcxI","DyGG3AbaNP","bJkvcejdHO","tifHPKVTfV","XPYlsWDdGa","9FxExcQeMw","Asc51vEJeQ","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6784","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=6784, right_input=2299, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=39301","layer":3},{"info":"number node, value=4557","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=4557, right_input=2133, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=39301, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=1275","layer":4},{"info":"number node, value=6393","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=6393, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5118","layer":3},{"info":"number node, value=1844","layer":4},{"info":"compute unary expreesion, input=1844, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3688","layer":3},{"info":"compute binary expreesion, left_input=5118, right_input=3688, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1325089","layer":2},{"info":"number node, value=8223","layer":4},{"info":"compute unary expreesion, input=8223, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3486","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=3486, right_input=1276, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1279","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1279, 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=1325089, 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":3,"result_base":3,"text":"((⫏≰100022021⫡⨏⫏≰10011011)⪘⫢⫏≰20020210∀⇚≩⫏≰2221000⊠≄⫣)%((⫏≰1202020⇼⇔∾⫏≰22202210)≎⊠⪸(⪲⇎⫏≰2112022))∼((↣≠⋷⫏≰102021120)⩷∴⫏≰11210010⨓⫏≰1202021)=NaN","reverse_text":"NaN=((⫏≰100022021⫡⨏⫏≰10011011)⪘⫢⫏≰20020210∀⇚≩⫏≰2221000⊠≄⫣)%((⫏≰1202020⇼⇔∾⫏≰22202210)≎⊠⪸(⪲⇎⫏≰2112022))∼((↣≠⋷⫏≰102021120)⩷∴⫏≰11210010⨓⫏≰1202021)","cot":[{"info":"⫏≰100022021⫡⨏⫏≰10011011=⫏≰1222220121","layer":3},{"info":"⫏≰20020210∀⇚≩⫏≰2221000=NaN","layer":3},{"info":"⫏≰1222220121⪘⫢NaN=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"⫏≰1202020⇼⇔∾⫏≰22202210=⫏≰21000120","layer":3},{"info":"⪲⇎⫏≰2112022=⫏≰12001121","layer":3},{"info":"⫏≰21000120≎⊠⪸⫏≰12001121=⫏≰2111022200101","layer":2},{"info":"↣≠⋷⫏≰102021120=NaN","layer":3},{"info":"⫏≰11210010⨓⫏≰1202021=⫏≰-1202101","layer":3},{"info":"NaN⩷∴⫏≰-1202101=NaN","layer":2},{"info":"⫏≰2111022200101∼NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":112,"expression_no_base_symbol":"((↔$2432$)⇷($5953$↪⪝)⊦⊿)≹⇙⪍(($6821$⇼⇔∾$3522$)⨎(⪝⪂⫅$2546$)⫡⨏(≦∁$3271$⇷$1490$))","expression":"((↔⫏≰10100002)⇷(⫏≰22011111↪⪝)⊦⊿)≹⇙⪍((⫏≰100100122⇼⇔∾⫏≰11211110)⨎(⪝⪂⫅⫏≰10111022)⫡⨏(≦∁⫏≰11111011⇷⫏≰2001012))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":76907,"operation_count":11,"complexity_ratio":6991.545454545455,"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":2432,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":5953,"base":3}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6821,"base":3},"right_expr":{"type":"numeric_atoms","value":3522,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2546,"base":3}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3271,"base":3},"right_expr":{"type":"numeric_atoms","value":1490,"base":3}}}}},"used_operators":["AHs5Up7iyr","14qkJME0vr","mp7IySMOzn","ruOEQAzv1W","l07mrZUIn9","QMFrweE19q","rJVOvQCfKK","tifHPKVTfV","XTarYq4gQB","9ICcGScMcE"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2432","layer":4},{"info":"compute unary expreesion, input=2432, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2159","layer":3},{"info":"number node, value=5953","layer":4},{"info":"compute unary expreesion, input=5953, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=364216446","layer":3},{"info":"compute binary expreesion, left_input=-2159, right_input=364216446, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=728432892","layer":2},{"info":"compute unary expreesion, input=728432892, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-inf","layer":1},{"info":"number node, value=6821","layer":4},{"info":"number node, value=3522","layer":4},{"info":"compute binary expreesion, left_input=6821, right_input=3522, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3299","layer":3},{"info":"number node, value=2546","layer":4},{"info":"compute unary expreesion, input=2546, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-374262","layer":3},{"info":"compute binary expreesion, left_input=-3299, right_input=-374262, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-374262","layer":2},{"info":"number node, value=3271","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=3271, right_input=1490, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2980","layer":3},{"info":"compute unary expreesion, input=2980, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2980","layer":2},{"info":"compute binary expreesion, left_input=-374262, right_input=2980, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-1864567","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=-1864567, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"((↔⫏≰10100002)⇷(⫏≰22011111↪⪝)⊦⊿)≹⇙⪍((⫏≰100100122⇼⇔∾⫏≰11211110)⨎(⪝⪂⫅⫏≰10111022)⫡⨏(≦∁⫏≰11111011⇷⫏≰2001012))=NaN","reverse_text":"NaN=((↔⫏≰10100002)⇷(⫏≰22011111↪⪝)⊦⊿)≹⇙⪍((⫏≰100100122⇼⇔∾⫏≰11211110)⨎(⪝⪂⫅⫏≰10111022)⫡⨏(≦∁⫏≰11111011⇷⫏≰2001012))","cot":[{"info":"↔⫏≰10100002=⫏≰-2221222","layer":3},{"info":"⫏≰22011111↪⪝=⫏≰221101100010001000","layer":3},{"info":"⫏≰-2221222⇷⫏≰221101100010001000=⫏≰1212202200020002000","layer":2},{"info":"⫏≰1212202200020002000⊦⊿=-Inf","layer":1},{"info":"⫏≰100100122⇼⇔∾⫏≰11211110=⫏≰-11112012","layer":3},{"info":"⪝⪂⫅⫏≰10111022=⫏≰-201000101120","layer":3},{"info":"⫏≰-11112012⨎⫏≰-201000101120=⫏≰-201000101120","layer":2},{"info":"⫏≰11111011⇷⫏≰2001012=⫏≰11002101","layer":3},{"info":"≦∁⫏≰11002101=⫏≰11002101","layer":2},{"info":"⫏≰-201000101120⫡⨏⫏≰11002101=⫏≰-10111201201001","layer":1},{"info":"-Inf≹⇙⪍⫏≰-10111201201001=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"(↥($1882$⪄$4934$⇼⇔∾$3923$↬$1364$))⇼⇔∾((⨞⊢$1813$↬$3793$)⪒($2403$+$3011$)≧⫂∧(⨑⩽⪐$3922$))","expression":"(↥(⫏≰2120201⪄⫏≰20202202⇼⇔∾⫏≰12101022↬⫏≰1212112))⇼⇔∾((⨞⊢⫏≰2111011↬⫏≰12012111)⪒(⫏≰10022000+⫏≰11010112)≧⫂∧(⨑⩽⪐⫏≰12101021))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":114,"operation_count":11,"complexity_ratio":10.363636363636363,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1882,"base":3},"right_expr":{"type":"numeric_atoms","value":4934,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3923,"base":3},"right_expr":{"type":"numeric_atoms","value":1364,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1813,"base":3},"right_expr":{"type":"numeric_atoms","value":3793,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2403,"base":3},"right_expr":{"type":"numeric_atoms","value":3011,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3922,"base":3}}}}},"used_operators":["tifHPKVTfV","A8NUZmVepG","SUmda5xLS4","B5M0gjZbta","f6k1SAg4EE","xUOZtlo3hN","Ph9nP6C5qx","W4YGzv6Whe","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1882","layer":4},{"info":"number node, value=4934","layer":4},{"info":"compute binary expreesion, left_input=1882, right_input=4934, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-294361","layer":3},{"info":"number node, value=3923","layer":4},{"info":"number node, value=1364","layer":4},{"info":"compute binary expreesion, left_input=3923, right_input=1364, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-294361, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"number node, value=1813","layer":4},{"info":"number node, value=3793","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=3793, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=2403","layer":4},{"info":"number node, value=3011","layer":4},{"info":"compute binary expreesion, left_input=2403, right_input=3011, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5414","layer":3},{"info":"number node, value=3922","layer":4},{"info":"compute unary expreesion, input=3922, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3649","layer":3},{"info":"compute binary expreesion, left_input=5414, right_input=-3649, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=9063","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9063, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↥(⫏≰2120201⪄⫏≰20202202⇼⇔∾⫏≰12101022↬⫏≰1212112))⇼⇔∾((⨞⊢⫏≰2111011↬⫏≰12012111)⪒(⫏≰10022000+⫏≰11010112)≧⫂∧(⨑⩽⪐⫏≰12101021))=NaN","reverse_text":"NaN=(↥(⫏≰2120201⪄⫏≰20202202⇼⇔∾⫏≰12101022↬⫏≰1212112))⇼⇔∾((⨞⊢⫏≰2111011↬⫏≰12012111)⪒(⫏≰10022000+⫏≰11010112)≧⫂∧(⨑⩽⪐⫏≰12101021))","cot":[{"info":"⫏≰2120201⪄⫏≰20202202=⫏≰-112221210021","layer":3},{"info":"⫏≰12101022↬⫏≰1212112=NaN","layer":3},{"info":"⫏≰-112221210021⇼⇔∾NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⫏≰2111011↬⫏≰12012111=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⫏≰10022000+⫏≰11010112=⫏≰21102112","layer":3},{"info":"⨑⩽⪐⫏≰12101021=⫏≰-12000011","layer":3},{"info":"⫏≰21102112≧⫂∧⫏≰-12000011=⫏≰110102200","layer":2},{"info":"NaN⪒⫏≰110102200=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":114,"expression_no_base_symbol":"(⨑⩽⪐($4800$⨪↰⇹$2435$↛⩡⫤))∀⇚≩((($1128$⫥∨⫟$8146$)⋫)⫸⊐($9681$-$1064$)⨐⩸⫘($1007$⪨≂$1753$))","expression":"(⨑⩽⪐(⫏≰20120210⨪↰⇹⫏≰10100012↛⩡⫤))∀⇚≩(((⫏≰1112210⫥∨⫟⫏≰102011201)⋫)⫸⊐(⫏≰111021120-⫏≰1110102)⨐⩸⫘(⫏≰1101022⪨≂⫏≰2101221))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19508,"operation_count":10,"complexity_ratio":1950.8,"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":4800,"base":3},"right_expr":{"type":"numeric_atoms","value":2435,"base":3}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1128,"base":3},"right_expr":{"type":"numeric_atoms","value":8146,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":9681,"base":3},"right_expr":{"type":"numeric_atoms","value":1064,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1007,"base":3},"right_expr":{"type":"numeric_atoms","value":1753,"base":3}}}}},"used_operators":["LRNGc0VcxI","AF7qkfDlqP","FU0Cs4j7VP","tmPS8pqC7x","mqXw5SEYmG","JL8yIekQnl","KYD54nUTWz","fu6greOZ01","rysDP5nf3Z","sdazOOVcIp"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4800","layer":4},{"info":"number node, value=2435","layer":4},{"info":"compute binary expreesion, left_input=4800, right_input=2435, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4800","layer":3},{"info":"compute unary expreesion, input=4800, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-720889","layer":2},{"info":"compute unary expreesion, input=-720889, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=1442567","layer":1},{"info":"number node, value=1128","layer":4},{"info":"number node, value=8146","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=8146, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":"number node, value=9681","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=9681, right_input=1064, op_id = rysDP5nf3Z binary_op_definition= 'None', output=8617","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=1753","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1753, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1390","layer":3},{"info":"compute binary expreesion, left_input=8617, right_input=-1390, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":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=1442567, 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":3,"result_base":3,"text":"(⨑⩽⪐(⫏≰20120210⨪↰⇹⫏≰10100012↛⩡⫤))∀⇚≩(((⫏≰1112210⫥∨⫟⫏≰102011201)⋫)⫸⊐(⫏≰111021120-⫏≰1110102)⨐⩸⫘(⫏≰1101022⪨≂⫏≰2101221))=NaN","reverse_text":"NaN=(⨑⩽⪐(⫏≰20120210⨪↰⇹⫏≰10100012↛⩡⫤))∀⇚≩(((⫏≰1112210⫥∨⫟⫏≰102011201)⋫)⫸⊐(⫏≰111021120-⫏≰1110102)⨐⩸⫘(⫏≰1101022⪨≂⫏≰2101221))","cot":[{"info":"⫏≰20120210⨪↰⇹⫏≰10100012=⫏≰20120210","layer":3},{"info":"⫏≰20120210↛⩡⫤=⫏≰-1100121212121","layer":2},{"info":"⨑⩽⪐⫏≰-1100121212121=⫏≰2201021211102","layer":1},{"info":"⫏≰1112210⫥∨⫟⫏≰102011201=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"⫏≰111021120-⫏≰1110102=⫏≰102211011","layer":3},{"info":"⫏≰1101022⪨≂⫏≰2101221=⫏≰-1220111","layer":3},{"info":"⫏≰102211011⨐⩸⫘⫏≰-1220111=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"⫏≰2201021211102∀⇚≩NaN=NaN","layer":0}]}
{"id":115,"expression_no_base_symbol":"⊙↵-(($3273$⫥∨⫟$1808$↛⩡⫤)*(≦∁$1859$⇼⇔∾$3738$))","expression":"⊙↵-((⫏≰11111020⫥∨⫟⫏≰2110222↛⩡⫤)*(≦∁⫏≰2112212⇼⇔∾⫏≰12010110))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":248,"operation_count":6,"complexity_ratio":41.333333333333336,"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":3273,"base":3},"right_expr":{"type":"numeric_atoms","value":1808,"base":3}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1859,"base":3},"right_expr":{"type":"numeric_atoms","value":3738,"base":3}}}}},"used_operators":["oWn0xqSxBt","9HNa5Wba9A","FU0Cs4j7VP","KYD54nUTWz","9ICcGScMcE","tifHPKVTfV"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3273","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=1808, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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=1859","layer":4},{"info":"number node, value=3738","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=3738, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1879","layer":3},{"info":"compute unary expreesion, input=1879, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1879","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1879, op_id = 9HNa5Wba9A 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":3,"result_base":3,"text":"⊙↵-((⫏≰11111020⫥∨⫟⫏≰2110222↛⩡⫤)*(≦∁⫏≰2112212⇼⇔∾⫏≰12010110))=NaN","reverse_text":"NaN=⊙↵-((⫏≰11111020⫥∨⫟⫏≰2110222↛⩡⫤)*(≦∁⫏≰2112212⇼⇔∾⫏≰12010110))","cot":[{"info":"⫏≰11111020⫥∨⫟⫏≰2110222=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"⫏≰2112212⇼⇔∾⫏≰12010110=⫏≰2120121","layer":3},{"info":"≦∁⫏≰2120121=⫏≰2120121","layer":2},{"info":"NaN*⫏≰2120121=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":116,"expression_no_base_symbol":"(⊄⩳↩(⨰⫟⨤$3372$))⋳⪒($6495$-$1911$)⨟⋌⩍(⨵≀≌$5020$)⊉≛↸((⨑⩽⪐$8150$)⩷∴($2700$↪⪝)⨸⪁(⨵≀≌($1104$⊭↱$1433$)))","expression":"(⊄⩳↩(⨰⫟⨤⫏≰11121220))⋳⪒(⫏≰22220120-⫏≰2121210)⨟⋌⩍(⨵≀≌⫏≰20212221)⊉≛↸((⨑⩽⪐⫏≰102011212)⩷∴(⫏≰10201000↪⪝)⨸⪁(⨵≀≌(⫏≰1111220⊭↱⫏≰1222002)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13387,"operation_count":13,"complexity_ratio":1029.7692307692307,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3372,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6495,"base":3},"right_expr":{"type":"numeric_atoms","value":1911,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5020,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8150,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2700,"base":3}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1104,"base":3},"right_expr":{"type":"numeric_atoms","value":1433,"base":3}}}}},"used_operators":["DZ8iAZOCBD","12rbrZMWeM","8w2t5hMYqp","Tw270M8GLb","rGHVDoGpnC","rysDP5nf3Z","srAu1WTS94","g55IO6H4Gj","9FxExcQeMw","AF7qkfDlqP","l07mrZUIn9","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3372","layer":4},{"info":"compute unary expreesion, input=3372, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=6495","layer":4},{"info":"number node, value=1911","layer":4},{"info":"compute binary expreesion, left_input=6495, right_input=1911, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4584","layer":3},{"info":"number node, value=5020","layer":4},{"info":"compute unary expreesion, input=5020, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15060","layer":3},{"info":"compute binary expreesion, left_input=4584, right_input=-15060, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=8150","layer":4},{"info":"compute unary expreesion, input=8150, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7877","layer":3},{"info":"number node, value=2700","layer":4},{"info":"compute unary expreesion, input=2700, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=165191400","layer":3},{"info":"compute binary expreesion, left_input=-7877, right_input=165191400, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-330398586","layer":2},{"info":"number node, value=1104","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1433, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=663","layer":3},{"info":"compute unary expreesion, input=663, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-1989","layer":2},{"info":"compute binary expreesion, left_input=-330398586, right_input=-1989, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-660801150","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-660801150, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊄⩳↩(⨰⫟⨤⫏≰11121220))⋳⪒(⫏≰22220120-⫏≰2121210)⨟⋌⩍(⨵≀≌⫏≰20212221)⊉≛↸((⨑⩽⪐⫏≰102011212)⩷∴(⫏≰10201000↪⪝)⨸⪁(⨵≀≌(⫏≰1111220⊭↱⫏≰1222002)))=NaN","reverse_text":"NaN=(⊄⩳↩(⨰⫟⨤⫏≰11121220))⋳⪒(⫏≰22220120-⫏≰2121210)⨟⋌⩍(⨵≀≌⫏≰20212221)⊉≛↸((⨑⩽⪐⫏≰102011212)⩷∴(⫏≰10201000↪⪝)⨸⪁(⨵≀≌(⫏≰1111220⊭↱⫏≰1222002)))","cot":[{"info":"⨰⫟⨤⫏≰11121220=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⫏≰22220120-⫏≰2121210=⫏≰20021210","layer":3},{"info":"⨵≀≌⫏≰20212221=⫏≰-202122210","layer":3},{"info":"⫏≰20021210⨟⋌⩍⫏≰-202122210=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⨑⩽⪐⫏≰102011212=⫏≰-101210202","layer":3},{"info":"⫏≰10201000↪⪝=⫏≰102111211121000000","layer":3},{"info":"⫏≰-101210202⩷∴⫏≰102111211121000000=⫏≰-212000200222122200","layer":2},{"info":"⫏≰1111220⊭↱⫏≰1222002=⫏≰220120","layer":3},{"info":"⨵≀≌⫏≰220120=⫏≰-2201200","layer":2},{"info":"⫏≰-212000200222122200⨸⪁⫏≰-2201200=⫏≰-1201001102011202200","layer":1},{"info":"NaN⊉≛↸⫏≰-1201001102011202200=NaN","layer":0}]}
{"id":117,"expression_no_base_symbol":"($2550$⋓$2188$⨐⩸⫘($1242$⪒$1626$))⪛(($1071$⋥≓≎$1895$)∼($2508$↙$1324$))↺((($6775$⫡⨏$1454$)≣⋋)↪⪝)","expression":"(⫏≰10111110⋓⫏≰10000001⨐⩸⫘(⫏≰1201000⪒⫏≰2020020))⪛((⫏≰1110200⋥≓≎⫏≰2121012)∼(⫏≰10102220↙⫏≰1211001))↺(((⫏≰100021221⫡⨏⫏≰1222212)≣⋋)↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1935,"operation_count":11,"complexity_ratio":175.9090909090909,"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":2550,"base":3},"right_expr":{"type":"numeric_atoms","value":2188,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1242,"base":3},"right_expr":{"type":"numeric_atoms","value":1626,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1071,"base":3},"right_expr":{"type":"numeric_atoms","value":1895,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2508,"base":3},"right_expr":{"type":"numeric_atoms","value":1324,"base":3}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6775,"base":3},"right_expr":{"type":"numeric_atoms","value":1454,"base":3}}}}},"used_operators":["7j4O788W3g","uFcxV4UQCh","fu6greOZ01","T2fj7uvVaJ","f6k1SAg4EE","DyGG3AbaNP","Qy55tPpLXF","yyfyN0ffXY","l07mrZUIn9","Tcnh7f0tEr","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2550","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=2550, right_input=2188, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=1626, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2868","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2868, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1071","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1895, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2752","layer":3},{"info":"number node, value=2508","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=2508, right_input=1324, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3972","layer":3},{"info":"compute binary expreesion, left_input=2752, right_input=-3972, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=6775","layer":4},{"info":"number node, value=1454","layer":4},{"info":"compute binary expreesion, left_input=6775, right_input=1454, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=37566","layer":3},{"info":"compute unary expreesion, input=37566, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":1},{"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":0}],"base":3,"result_base":3,"text":"(⫏≰10111110⋓⫏≰10000001⨐⩸⫘(⫏≰1201000⪒⫏≰2020020))⪛((⫏≰1110200⋥≓≎⫏≰2121012)∼(⫏≰10102220↙⫏≰1211001))↺(((⫏≰100021221⫡⨏⫏≰1222212)≣⋋)↪⪝)=⫏≰0","reverse_text":"⫏≰0=(⫏≰10111110⋓⫏≰10000001⨐⩸⫘(⫏≰1201000⪒⫏≰2020020))⪛((⫏≰1110200⋥≓≎⫏≰2121012)∼(⫏≰10102220↙⫏≰1211001))↺(((⫏≰100021221⫡⨏⫏≰1222212)≣⋋)↪⪝)","cot":[{"info":"⫏≰10111110⋓⫏≰10000001=⫏≰0","layer":3},{"info":"⫏≰1201000⪒⫏≰2020020=⫏≰-10221020","layer":3},{"info":"⫏≰0⨐⩸⫘⫏≰-10221020=NaN","layer":2},{"info":"⫏≰1110200⋥≓≎⫏≰2121012=⫏≰10202221","layer":3},{"info":"⫏≰10102220↙⫏≰1211001=⫏≰-12110010","layer":3},{"info":"⫏≰10202221∼⫏≰-12110010=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⫏≰100021221⫡⨏⫏≰1222212=⫏≰1220112100","layer":3},{"info":"⫏≰1220112100≣⋋=⫏≰0","layer":2},{"info":"⫏≰0↪⪝=⫏≰0","layer":1},{"info":"NaN↺⫏≰0=⫏≰0","layer":0}]}
{"id":118,"expression_no_base_symbol":"(⊙↵-(($1421$⨓$1097$)⩠))⋳⪒($6558$⨪↰⇹$3421$⨎($4152$⋳⪒$2942$))⊴((⪲⇎$1428$)∀⇚≩($4376$⨽$4598$))","expression":"(⊙↵-((⫏≰1221122⨓⫏≰1111122)⩠))⋳⪒(⫏≰22222220⨪↰⇹⫏≰11200201⨎(⫏≰12200210⋳⪒⫏≰11000222))⊴((⪲⇎⫏≰1221220)∀⇚≩(⫏≰20000002⨽⫏≰20022022))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":36734,"operation_count":11,"complexity_ratio":3339.4545454545455,"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":1421,"base":3},"right_expr":{"type":"numeric_atoms","value":1097,"base":3}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6558,"base":3},"right_expr":{"type":"numeric_atoms","value":3421,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4152,"base":3},"right_expr":{"type":"numeric_atoms","value":2942,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1428,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4376,"base":3},"right_expr":{"type":"numeric_atoms","value":4598,"base":3}}}}},"used_operators":["12rbrZMWeM","oWn0xqSxBt","sJAwomhLZr","3ViojmjbAp","Nsiff2A1zJ","rJVOvQCfKK","tmPS8pqC7x","LRNGc0VcxI","XPYlsWDdGa","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1421","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=1097, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1100","layer":3},{"info":"compute unary expreesion, input=-1100, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=4609","layer":2},{"info":"compute unary expreesion, input=4609, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=6558","layer":4},{"info":"number node, value=3421","layer":4},{"info":"compute binary expreesion, left_input=6558, right_input=3421, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6558","layer":3},{"info":"number node, value=4152","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=4152, right_input=2942, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5075","layer":3},{"info":"compute binary expreesion, left_input=6558, right_input=5075, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5075","layer":2},{"info":"number node, value=1428","layer":4},{"info":"compute unary expreesion, input=1428, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2856","layer":3},{"info":"number node, value=4376","layer":4},{"info":"number node, value=4598","layer":4},{"info":"compute binary expreesion, left_input=4376, right_input=4598, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-57460608","layer":3},{"info":"compute binary expreesion, left_input=2856, right_input=-57460608, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5075, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊙↵-((⫏≰1221122⨓⫏≰1111122)⩠))⋳⪒(⫏≰22222220⨪↰⇹⫏≰11200201⨎(⫏≰12200210⋳⪒⫏≰11000222))⊴((⪲⇎⫏≰1221220)∀⇚≩(⫏≰20000002⨽⫏≰20022022))=NaN","reverse_text":"NaN=(⊙↵-((⫏≰1221122⨓⫏≰1111122)⩠))⋳⪒(⫏≰22222220⨪↰⇹⫏≰11200201⨎(⫏≰12200210⋳⪒⫏≰11000222))⊴((⪲⇎⫏≰1221220)∀⇚≩(⫏≰20000002⨽⫏≰20022022))","cot":[{"info":"⫏≰1221122⨓⫏≰1111122=⫏≰-1111202","layer":3},{"info":"⫏≰-1111202⩠=⫏≰20022201","layer":2},{"info":"⊙↵-⫏≰20022201=⫏≰-1","layer":1},{"info":"⫏≰22222220⨪↰⇹⫏≰11200201=⫏≰22222220","layer":3},{"info":"⫏≰12200210⋳⪒⫏≰11000222=⫏≰20221222","layer":3},{"info":"⫏≰22222220⨎⫏≰20221222=⫏≰20221222","layer":2},{"info":"⪲⇎⫏≰1221220=⫏≰10220210","layer":3},{"info":"⫏≰20000002⨽⫏≰20022022=⫏≰-11000010022010200","layer":3},{"info":"⫏≰10220210∀⇚≩⫏≰-11000010022010200=NaN","layer":2},{"info":"⫏≰20221222⊴NaN=NaN","layer":1},{"info":"⫏≰-1⋳⪒NaN=NaN","layer":0}]}
{"id":119,"expression_no_base_symbol":"(∥⊫$2446$∼$3102$)⨰(($3144$/$6000$)∲⫓(≤/$6123$))⪒($7031$⪄$3334$+$3007$+⇶⊼$6938$)⫥∨⫟($2773$⨸⪁$2125$)⩚⊴⇥($2760$⨳⩥⨓$2037$)","expression":"(∥⊫⫏≰10100121∼⫏≰11020220)⨰((⫏≰11022110/⫏≰22020020)∲⫓(≤/⫏≰22101210))⪒(⫏≰100122102⪄⫏≰11120111+⫏≰11010101+⇶⊼⫏≰100111222)⫥∨⫟(⫏≰10210201⨸⪁⫏≰2220201)⩚⊴⇥(⫏≰10210020⨳⩥⨓⫏≰2210110)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":324,"operation_count":14,"complexity_ratio":23.142857142857142,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2446,"base":3},"right_expr":{"type":"numeric_atoms","value":3102,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3144,"base":3},"right_expr":{"type":"numeric_atoms","value":6000,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6123,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7031,"base":3},"right_expr":{"type":"numeric_atoms","value":3334,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3007,"base":3},"right_expr":{"type":"numeric_atoms","value":6938,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2773,"base":3},"right_expr":{"type":"numeric_atoms","value":2125,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2760,"base":3},"right_expr":{"type":"numeric_atoms","value":2037,"base":3}}}}},"used_operators":["f6k1SAg4EE","eewbuw0ToL","P8v4zCKN1o","DyGG3AbaNP","i8ToyICDmI","XhwjNDsVaA","eLAdDNolq6","KYD54nUTWz","W4YGzv6Whe","SUmda5xLS4","TpPTUOHfaN","NTOWxs364D","g55IO6H4Gj","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2446","layer":4},{"info":"number node, value=3102","layer":4},{"info":"compute binary expreesion, left_input=2446, right_input=3102, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"number node, value=3144","layer":4},{"info":"number node, value=6000","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=6000, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=6123","layer":4},{"info":"compute unary expreesion, input=6123, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5639","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5639, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=7031","layer":4},{"info":"number node, value=3334","layer":4},{"info":"compute binary expreesion, left_input=7031, right_input=3334, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1050013","layer":3},{"info":"number node, value=3007","layer":4},{"info":"number node, value=6938","layer":4},{"info":"compute binary expreesion, left_input=3007, right_input=6938, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-1050013, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2773","layer":4},{"info":"number node, value=2125","layer":4},{"info":"compute binary expreesion, left_input=2773, right_input=2125, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9796","layer":3},{"info":"number node, value=2760","layer":4},{"info":"number node, value=2037","layer":4},{"info":"compute binary expreesion, left_input=2760, right_input=2037, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-723","layer":3},{"info":"compute binary expreesion, left_input=9796, right_input=-723, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9194","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9194, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(∥⊫⫏≰10100121∼⫏≰11020220)⨰((⫏≰11022110/⫏≰22020020)∲⫓(≤/⫏≰22101210))⪒(⫏≰100122102⪄⫏≰11120111+⫏≰11010101+⇶⊼⫏≰100111222)⫥∨⫟(⫏≰10210201⨸⪁⫏≰2220201)⩚⊴⇥(⫏≰10210020⨳⩥⨓⫏≰2210110)=NaN","reverse_text":"NaN=(∥⊫⫏≰10100121∼⫏≰11020220)⨰((⫏≰11022110/⫏≰22020020)∲⫓(≤/⫏≰22101210))⪒(⫏≰100122102⪄⫏≰11120111+⫏≰11010101+⇶⊼⫏≰100111222)⫥∨⫟(⫏≰10210201⨸⪁⫏≰2220201)⩚⊴⇥(⫏≰10210020⨳⩥⨓⫏≰2210110)","cot":[{"info":"⫏≰10100121∼⫏≰11020220=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⫏≰11022110/⫏≰22020020=⫏≰0","layer":3},{"info":"≤/⫏≰22101210=⫏≰-21201212","layer":3},{"info":"⫏≰0∲⫓⫏≰-21201212=⫏≰0","layer":2},{"info":"NaN⨰⫏≰0=NaN","layer":1},{"info":"⫏≰100122102⪄⫏≰11120111=⫏≰-1222100100101","layer":3},{"info":"⫏≰11010101+⇶⊼⫏≰100111222=NaN","layer":3},{"info":"⫏≰-1222100100101+NaN=NaN","layer":2},{"info":"⫏≰10210201⨸⪁⫏≰2220201=⫏≰111102211","layer":3},{"info":"⫏≰10210020⨳⩥⨓⫏≰2210110=⫏≰-222210","layer":3},{"info":"⫏≰111102211⩚⊴⇥⫏≰-222210=⫏≰-110121112","layer":2},{"info":"NaN⫥∨⫟⫏≰-110121112=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":120,"expression_no_base_symbol":"⨵≀≌($1006$⇷$4564$⊘)∀⇚≩(($3134$⋥≓≎$2605$)⋝⋈⪟($4756$⫸⊐$5790$))","expression":"⨵≀≌(⫏≰1101021⇷⫏≰20021001⊘)∀⇚≩((⫏≰11022002⋥≓≎⫏≰10120111)⋝⋈⪟(⫏≰20112011⫸⊐⫏≰21221110))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14144,"operation_count":7,"complexity_ratio":2020.5714285714287,"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":1006,"base":3},"right_expr":{"type":"numeric_atoms","value":4564,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3134,"base":3},"right_expr":{"type":"numeric_atoms","value":2605,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4756,"base":3},"right_expr":{"type":"numeric_atoms","value":5790,"base":3}}}}},"used_operators":["srAu1WTS94","LRNGc0VcxI","gu96TGCTMs","mp7IySMOzn","2DDjHMKMc0","Qy55tPpLXF","mqXw5SEYmG"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","X99M06cbEe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫏≰-22200100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"number node, value=4564","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=4564, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9128","layer":3},{"info":"compute unary expreesion, input=9128, 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=3134","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=2605, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2109","layer":3},{"info":"number node, value=4756","layer":4},{"info":"number node, value=5790","layer":4},{"info":"compute binary expreesion, left_input=4756, right_input=5790, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23035","layer":3},{"info":"compute binary expreesion, left_input=2109, right_input=23035, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2109","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2109, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=2109","layer":1},{"info":"compute unary expreesion, input=2109, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6327","layer":0}],"base":3,"result_base":3,"text":"⨵≀≌(⫏≰1101021⇷⫏≰20021001⊘)∀⇚≩((⫏≰11022002⋥≓≎⫏≰10120111)⋝⋈⪟(⫏≰20112011⫸⊐⫏≰21221110))=⫏≰-22200100","reverse_text":"⫏≰-22200100=⨵≀≌(⫏≰1101021⇷⫏≰20021001⊘)∀⇚≩((⫏≰11022002⋥≓≎⫏≰10120111)⋝⋈⪟(⫏≰20112011⫸⊐⫏≰21221110))","cot":[{"info":"⫏≰1101021⇷⫏≰20021001=⫏≰110112002","layer":3},{"info":"⫏≰110112002⊘=⫏≰0","layer":2},{"info":"⫏≰11022002⋥≓≎⫏≰10120111=⫏≰2220010","layer":3},{"info":"⫏≰20112011⫸⊐⫏≰21221110=⫏≰1011121011","layer":3},{"info":"⫏≰2220010⋝⋈⪟⫏≰1011121011=⫏≰2220010","layer":2},{"info":"⫏≰0∀⇚≩⫏≰2220010=⫏≰2220010","layer":1},{"info":"⨵≀≌⫏≰2220010=⫏≰-22200100","layer":0}]}
{"id":121,"expression_no_base_symbol":"(($2090$⩤)/($7284$⩠))≹⇙⪍(($3563$⨸⪁$1480$)≣⋋)⨸⪁((($1418$⨸⪁$2287$)⊘)⪒($3216$≎⊠⪸$4426$)∑⇟⊟(∥⊫$8944$))","expression":"((⫏≰2212102⩤)/(⫏≰100222210⩠))≹⇙⪍((⫏≰11212222⨸⪁⫏≰2000211)≣⋋)⨸⪁(((⫏≰1221112⨸⪁⫏≰10010201)⊘)⪒(⫏≰11102010≎⊠⪸⫏≰20001221)∑⇟⊟(∥⊫⫏≰110021021))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":841,"operation_count":13,"complexity_ratio":64.6923076923077,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2090,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":7284,"base":3}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3563,"base":3},"right_expr":{"type":"numeric_atoms","value":1480,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1418,"base":3},"right_expr":{"type":"numeric_atoms","value":2287,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3216,"base":3},"right_expr":{"type":"numeric_atoms","value":4426,"base":3}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":8944,"base":3}}}}},"used_operators":["g55IO6H4Gj","AHs5Up7iyr","XhwjNDsVaA","Z2TMIBDE3Q","sJAwomhLZr","Tcnh7f0tEr","f6k1SAg4EE","gu96TGCTMs","U7g4x0WXJJ","bJkvcejdHO","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2090","layer":4},{"info":"compute unary expreesion, input=2090, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2090","layer":3},{"info":"number node, value=7284","layer":4},{"info":"compute unary expreesion, input=7284, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2090, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3563","layer":4},{"info":"number node, value=1480","layer":4},{"info":"compute binary expreesion, left_input=3563, right_input=1480, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10086","layer":3},{"info":"compute unary expreesion, input=10086, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1418","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=2287, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7410","layer":3},{"info":"compute unary expreesion, input=7410, 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=3216","layer":4},{"info":"number node, value=4426","layer":4},{"info":"compute binary expreesion, left_input=3216, right_input=4426, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=832471","layer":3},{"info":"number node, value=8944","layer":4},{"info":"compute unary expreesion, input=8944, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=9812","layer":3},{"info":"compute binary expreesion, left_input=832471, right_input=9812, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', 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":3,"result_base":3,"text":"((⫏≰2212102⩤)/(⫏≰100222210⩠))≹⇙⪍((⫏≰11212222⨸⪁⫏≰2000211)≣⋋)⨸⪁(((⫏≰1221112⨸⪁⫏≰10010201)⊘)⪒(⫏≰11102010≎⊠⪸⫏≰20001221)∑⇟⊟(∥⊫⫏≰110021021))=NaN","reverse_text":"NaN=((⫏≰2212102⩤)/(⫏≰100222210⩠))≹⇙⪍((⫏≰11212222⨸⪁⫏≰2000211)≣⋋)⨸⪁(((⫏≰1221112⨸⪁⫏≰10010201)⊘)⪒(⫏≰11102010≎⊠⪸⫏≰20001221)∑⇟⊟(∥⊫⫏≰110021021))","cot":[{"info":"⫏≰2212102⩤=⫏≰-2212102","layer":3},{"info":"⫏≰100222210⩠=⫏≰0","layer":3},{"info":"⫏≰-2212102/⫏≰0=NaN","layer":2},{"info":"⫏≰11212222⨸⪁⫏≰2000211=⫏≰111211120","layer":3},{"info":"⫏≰111211120≣⋋=⫏≰0","layer":2},{"info":"NaN≹⇙⪍⫏≰0=NaN","layer":1},{"info":"⫏≰1221112⨸⪁⫏≰10010201=⫏≰101011110","layer":3},{"info":"⫏≰101011110⊘=⫏≰0","layer":2},{"info":"⫏≰11102010≎⊠⪸⫏≰20001221=⫏≰1120021221021","layer":3},{"info":"∥⊫⫏≰110021021=⫏≰111110102","layer":3},{"info":"⫏≰1120021221021∑⇟⊟⫏≰111110102=NaN","layer":2},{"info":"⫏≰0⪒NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":122,"expression_no_base_symbol":"(↥(($1868$⊭↱$2092$)≦≮≮))⩚⊴⇥(($1387$+$1629$)+⇶⊼($6175$⪨≂$4475$)/($4030$*$5837$)⨽($1506$⊉≛↸$4668$))","expression":"(↥((⫏≰2120012⊭↱⫏≰2212111)≦≮≮))⩚⊴⇥((⫏≰1220101+⫏≰2020100)+⇶⊼(⫏≰22110201⪨≂⫏≰20010202)/(⫏≰12112021*⫏≰22000012)⨽(⫏≰2001210⊉≛↸⫏≰20101220))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":23527197,"operation_count":11,"complexity_ratio":2138836.090909091,"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":1868,"base":3},"right_expr":{"type":"numeric_atoms","value":2092,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1387,"base":3},"right_expr":{"type":"numeric_atoms","value":1629,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6175,"base":3},"right_expr":{"type":"numeric_atoms","value":4475,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4030,"base":3},"right_expr":{"type":"numeric_atoms","value":5837,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1506,"base":3},"right_expr":{"type":"numeric_atoms","value":4668,"base":3}}}}},"used_operators":["NTOWxs364D","A8NUZmVepG","D4vGDi5EA2","COABgblf1C","XhwjNDsVaA","TpPTUOHfaN","W4YGzv6Whe","sdazOOVcIp","8HhzD0ZcuI","9HNa5Wba9A","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1868","layer":4},{"info":"number node, value=2092","layer":4},{"info":"compute binary expreesion, left_input=1868, right_input=2092, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=453","layer":3},{"info":"compute unary expreesion, input=453, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-1359","layer":2},{"info":"compute unary expreesion, input=-1359, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":1},{"info":"number node, value=1387","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=1629, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3016","layer":3},{"info":"number node, value=6175","layer":4},{"info":"number node, value=4475","layer":4},{"info":"compute binary expreesion, left_input=6175, right_input=4475, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3502","layer":3},{"info":"compute binary expreesion, left_input=3016, right_input=3502, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4030","layer":4},{"info":"number node, value=5837","layer":4},{"info":"compute binary expreesion, left_input=4030, right_input=5837, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=23523110","layer":3},{"info":"number node, value=1506","layer":4},{"info":"number node, value=4668","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=4668, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3012","layer":3},{"info":"compute binary expreesion, left_input=23523110, right_input=3012, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↥((⫏≰2120012⊭↱⫏≰2212111)≦≮≮))⩚⊴⇥((⫏≰1220101+⫏≰2020100)+⇶⊼(⫏≰22110201⪨≂⫏≰20010202)/(⫏≰12112021*⫏≰22000012)⨽(⫏≰2001210⊉≛↸⫏≰20101220))=NaN","reverse_text":"NaN=(↥((⫏≰2120012⊭↱⫏≰2212111)≦≮≮))⩚⊴⇥((⫏≰1220101+⫏≰2020100)+⇶⊼(⫏≰22110201⪨≂⫏≰20010202)/(⫏≰12112021*⫏≰22000012)⨽(⫏≰2001210⊉≛↸⫏≰20101220))","cot":[{"info":"⫏≰2120012⊭↱⫏≰2212111=⫏≰121210","layer":3},{"info":"⫏≰121210≦≮≮=⫏≰-1212100","layer":2},{"info":"↥⫏≰-1212100=⫏≰200","layer":1},{"info":"⫏≰1220101+⫏≰2020100=⫏≰11010201","layer":3},{"info":"⫏≰22110201⪨≂⫏≰20010202=⫏≰11210201","layer":3},{"info":"⫏≰11010201+⇶⊼⫏≰11210201=NaN","layer":2},{"info":"⫏≰12112021*⫏≰22000012=⫏≰1122021002122022","layer":3},{"info":"⫏≰2001210⊉≛↸⫏≰20101220=⫏≰11010120","layer":3},{"info":"⫏≰1122021002122022⨽⫏≰11010120=-Inf","layer":2},{"info":"NaN/-Inf=NaN","layer":1},{"info":"⫏≰200⩚⊴⇥NaN=NaN","layer":0}]}
{"id":123,"expression_no_base_symbol":"($1357$⪮%⊝$1226$⪨≂$2568$⪛$2335$)⫸⊐($6824$⋳⪒$1929$⨸⪁(≤/$1500$))⪒(↽≂($2738$⨟⋌⩍$3576$⪒$5156$⩨$7181$))","expression":"(⫏≰1212021⪮%⊝⫏≰1200102⪨≂⫏≰10112010⪛⫏≰10012111)⫸⊐(⫏≰100100202⋳⪒⫏≰2122110⨸⪁(≤/⫏≰2001120))⪒(↽≂(⫏≰10202102⨟⋌⩍⫏≰11220110⪒⫏≰21001222⩨⫏≰100211222))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":67,"operation_count":12,"complexity_ratio":5.583333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1357,"base":3},"right_expr":{"type":"numeric_atoms","value":1226,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2568,"base":3},"right_expr":{"type":"numeric_atoms","value":2335,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6824,"base":3},"right_expr":{"type":"numeric_atoms","value":1929,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1500,"base":3}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2738,"base":3},"right_expr":{"type":"numeric_atoms","value":3576,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5156,"base":3},"right_expr":{"type":"numeric_atoms","value":7181,"base":3}}}}},"used_operators":["f6k1SAg4EE","mqXw5SEYmG","sdazOOVcIp","IWmyXbctLI","uFcxV4UQCh","g55IO6H4Gj","12rbrZMWeM","eLAdDNolq6","u6S6b8DprG","rGHVDoGpnC","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1357","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=1226, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3030","layer":3},{"info":"number node, value=2568","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=2335, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=233","layer":3},{"info":"compute binary expreesion, left_input=3030, right_input=233, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5696","layer":2},{"info":"number node, value=6824","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=6824, right_input=1929, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11432","layer":3},{"info":"number node, value=1500","layer":4},{"info":"compute unary expreesion, input=1500, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1016","layer":3},{"info":"compute binary expreesion, left_input=11432, right_input=-1016, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20832","layer":2},{"info":"compute binary expreesion, left_input=5696, right_input=20832, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=83203","layer":1},{"info":"number node, value=2738","layer":4},{"info":"number node, value=3576","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=3576, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=5156","layer":4},{"info":"number node, value=7181","layer":4},{"info":"compute binary expreesion, left_input=5156, right_input=7181, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', 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=83203, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1212021⪮%⊝⫏≰1200102⪨≂⫏≰10112010⪛⫏≰10012111)⫸⊐(⫏≰100100202⋳⪒⫏≰2122110⨸⪁(≤/⫏≰2001120))⪒(↽≂(⫏≰10202102⨟⋌⩍⫏≰11220110⪒⫏≰21001222⩨⫏≰100211222))=NaN","reverse_text":"NaN=(⫏≰1212021⪮%⊝⫏≰1200102⪨≂⫏≰10112010⪛⫏≰10012111)⫸⊐(⫏≰100100202⋳⪒⫏≰2122110⨸⪁(≤/⫏≰2001120))⪒(↽≂(⫏≰10202102⨟⋌⩍⫏≰11220110⪒⫏≰21001222⩨⫏≰100211222))","cot":[{"info":"⫏≰1212021⪮%⊝⫏≰1200102=⫏≰11011020","layer":3},{"info":"⫏≰10112010⪛⫏≰10012111=⫏≰22122","layer":3},{"info":"⫏≰11011020⪨≂⫏≰22122=⫏≰21210222","layer":2},{"info":"⫏≰100100202⋳⪒⫏≰2122110=⫏≰120200102","layer":3},{"info":"≤/⫏≰2001120=⫏≰-1101122","layer":3},{"info":"⫏≰120200102⨸⪁⫏≰-1101122=⫏≰1001120120","layer":2},{"info":"⫏≰21210222⫸⊐⫏≰1001120120=⫏≰11020010121","layer":1},{"info":"⫏≰10202102⨟⋌⩍⫏≰11220110=NaN","layer":3},{"info":"⫏≰21001222⩨⫏≰100211222=⫏≰-10","layer":3},{"info":"NaN⪒⫏≰-10=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⫏≰11020010121⪒NaN=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"(⩦⩻⨪$1031$)≧⫂∧($1118$⇼⇔∾$2233$)%($4646$⩷∴$1393$)⨟⋌⩍($7010$≋⫹)⫡⨏(↯⪼($1821$≭$2286$⊉≛↸$3274$⪘⫢$1481$))","expression":"(⩦⩻⨪⫏≰1102012)≧⫂∧(⫏≰1112102⇼⇔∾⫏≰10001201)%(⫏≰20101002⩷∴⫏≰1220121)⨟⋌⩍(⫏≰100121122≋⫹)⫡⨏(↯⪼(⫏≰2111110≭⫏≰10010200⊉≛↸⫏≰11111021⪘⫢⫏≰2000212))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":73,"operation_count":12,"complexity_ratio":6.083333333333333,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1031,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1118,"base":3},"right_expr":{"type":"numeric_atoms","value":2233,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4646,"base":3},"right_expr":{"type":"numeric_atoms","value":1393,"base":3}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7010,"base":3}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1821,"base":3},"right_expr":{"type":"numeric_atoms","value":2286,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3274,"base":3},"right_expr":{"type":"numeric_atoms","value":1481,"base":3}}}}},"used_operators":["QMFrweE19q","k8jYdgA6NY","Ph9nP6C5qx","2td37pGCOC","tifHPKVTfV","rGHVDoGpnC","9FxExcQeMw","N41Kp7NANJ","8jW3W4yZS5","DZ8iAZOCBD","rxpJgHHUmx","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1031","layer":4},{"info":"compute unary expreesion, input=1031, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1031","layer":3},{"info":"number node, value=1118","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=2233, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1115","layer":3},{"info":"compute binary expreesion, left_input=1031, right_input=1115, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=642","layer":2},{"info":"number node, value=4646","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=4646, right_input=1393, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6474","layer":3},{"info":"number node, value=7010","layer":4},{"info":"compute unary expreesion, input=7010, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14020","layer":3},{"info":"compute binary expreesion, left_input=6474, right_input=-14020, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=642, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1821","layer":4},{"info":"number node, value=2286","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=2286, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3274","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=3274, right_input=1481, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6424","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6424, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 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":3,"result_base":3,"text":"(⩦⩻⨪⫏≰1102012)≧⫂∧(⫏≰1112102⇼⇔∾⫏≰10001201)%(⫏≰20101002⩷∴⫏≰1220121)⨟⋌⩍(⫏≰100121122≋⫹)⫡⨏(↯⪼(⫏≰2111110≭⫏≰10010200⊉≛↸⫏≰11111021⪘⫢⫏≰2000212))=NaN","reverse_text":"NaN=(⩦⩻⨪⫏≰1102012)≧⫂∧(⫏≰1112102⇼⇔∾⫏≰10001201)%(⫏≰20101002⩷∴⫏≰1220121)⨟⋌⩍(⫏≰100121122≋⫹)⫡⨏(↯⪼(⫏≰2111110≭⫏≰10010200⊉≛↸⫏≰11111021⪘⫢⫏≰2000212))","cot":[{"info":"⩦⩻⨪⫏≰1102012=⫏≰1102012","layer":3},{"info":"⫏≰1112102⇼⇔∾⫏≰10001201=⫏≰1112022","layer":3},{"info":"⫏≰1102012≧⫂∧⫏≰1112022=⫏≰212210","layer":2},{"info":"⫏≰20101002⩷∴⫏≰1220121=⫏≰22212210","layer":3},{"info":"⫏≰100121122≋⫹=⫏≰-201020021","layer":3},{"info":"⫏≰22212210⨟⋌⩍⫏≰-201020021=NaN","layer":2},{"info":"⫏≰212210%NaN=NaN","layer":1},{"info":"⫏≰2111110≭⫏≰10010200=NaN","layer":3},{"info":"⫏≰11111021⪘⫢⫏≰2000212=⫏≰22210221","layer":3},{"info":"NaN⊉≛↸⫏≰22210221=NaN","layer":2},{"info":"↯⪼NaN=⫏≰-210","layer":1},{"info":"NaN⫡⨏⫏≰-210=NaN","layer":0}]}
{"id":125,"expression_no_base_symbol":"((⋗⩬⋾$4417$)⋷$1277$∼$4059$)≧⫂∧($2450$⋳⪒$3858$)⪘⫢($1552$⩨$3691$)⋳⪒((≦∁$3141$⫸⊐$3712$)⋷$5027$⪮%⊝$5142$⊉≛↸(⪝⪂⫅$2282$))","expression":"((⋗⩬⋾⫏≰20001121)⋷⫏≰1202022∼⫏≰12120100)≧⫂∧(⫏≰10100202⋳⪒⫏≰12021220)⪘⫢(⫏≰2010111⩨⫏≰12001201)⋳⪒((≦∁⫏≰11022100⫸⊐⫏≰12002111)⋷⫏≰20220012⪮%⊝⫏≰21001110⊉≛↸(⪝⪂⫅⫏≰10010112))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":250,"operation_count":14,"complexity_ratio":17.857142857142858,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4417,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1277,"base":3},"right_expr":{"type":"numeric_atoms","value":4059,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2450,"base":3},"right_expr":{"type":"numeric_atoms","value":3858,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1552,"base":3},"right_expr":{"type":"numeric_atoms","value":3691,"base":3}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3141,"base":3},"right_expr":{"type":"numeric_atoms","value":3712,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5027,"base":3},"right_expr":{"type":"numeric_atoms","value":5142,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2282,"base":3}}}}},"used_operators":["12rbrZMWeM","Ph9nP6C5qx","23Mk6UjR3U","DpFCA1CohY","DyGG3AbaNP","oacrs7FA3X","2DlMacCsIx","9ICcGScMcE","mqXw5SEYmG","DZ8iAZOCBD","IWmyXbctLI","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫏≰-1102101200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4417","layer":4},{"info":"compute unary expreesion, input=4417, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-13251","layer":3},{"info":"number node, value=1277","layer":4},{"info":"number node, value=4059","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=4059, 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=-13251, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=26502","layer":2},{"info":"number node, value=2450","layer":4},{"info":"number node, value=3858","layer":4},{"info":"compute binary expreesion, left_input=2450, right_input=3858, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=755","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=3691","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=3691, 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=755, right_input=-6, 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=26502, 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=3141","layer":4},{"info":"number node, value=3712","layer":4},{"info":"compute binary expreesion, left_input=3141, right_input=3712, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14723","layer":3},{"info":"compute unary expreesion, input=14723, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=14723","layer":2},{"info":"number node, value=5027","layer":4},{"info":"number node, value=5142","layer":4},{"info":"compute binary expreesion, left_input=5027, right_input=5142, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10370","layer":3},{"info":"number node, value=2282","layer":4},{"info":"compute unary expreesion, input=2282, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-335454","layer":3},{"info":"compute binary expreesion, left_input=10370, right_input=-335454, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=20740","layer":2},{"info":"compute binary expreesion, left_input=14723, right_input=20740, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=26757","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=26757, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-27990","layer":0}],"base":3,"result_base":3,"text":"((⋗⩬⋾⫏≰20001121)⋷⫏≰1202022∼⫏≰12120100)≧⫂∧(⫏≰10100202⋳⪒⫏≰12021220)⪘⫢(⫏≰2010111⩨⫏≰12001201)⋳⪒((≦∁⫏≰11022100⫸⊐⫏≰12002111)⋷⫏≰20220012⪮%⊝⫏≰21001110⊉≛↸(⪝⪂⫅⫏≰10010112))=⫏≰-1102101200","reverse_text":"⫏≰-1102101200=((⋗⩬⋾⫏≰20001121)⋷⫏≰1202022∼⫏≰12120100)≧⫂∧(⫏≰10100202⋳⪒⫏≰12021220)⪘⫢(⫏≰2010111⩨⫏≰12001201)⋳⪒((≦∁⫏≰11022100⫸⊐⫏≰12002111)⋷⫏≰20220012⪮%⊝⫏≰21001110⊉≛↸(⪝⪂⫅⫏≰10010112))","cot":[{"info":"⋗⩬⋾⫏≰20001121=⫏≰-200011210","layer":3},{"info":"⫏≰1202022∼⫏≰12120100=NaN","layer":3},{"info":"⫏≰-200011210⋷NaN=⫏≰1100100120","layer":2},{"info":"⫏≰10100202⋳⪒⫏≰12021220=⫏≰1000222","layer":3},{"info":"⫏≰2010111⩨⫏≰12001201=⫏≰-20","layer":3},{"info":"⫏≰1000222⪘⫢⫏≰-20=⫏≰0","layer":2},{"info":"⫏≰1100100120≧⫂∧⫏≰0=⫏≰-122112","layer":1},{"info":"⫏≰11022100⫸⊐⫏≰12002111=⫏≰202012022","layer":3},{"info":"≦∁⫏≰202012022=⫏≰202012022","layer":2},{"info":"⫏≰20220012⪮%⊝⫏≰21001110=⫏≰112020002","layer":3},{"info":"⪝⪂⫅⫏≰10010112=⫏≰-122001011020","layer":3},{"info":"⫏≰112020002⊉≛↸⫏≰-122001011020=⫏≰1001110011","layer":2},{"info":"⫏≰202012022⋷⫏≰1001110011=⫏≰1100201000","layer":1},{"info":"⫏≰-122112⋳⪒⫏≰1100201000=⫏≰-1102101200","layer":0}]}
{"id":126,"expression_no_base_symbol":"(⪝⪂⫅(↯⪼($1661$∲⫓$5237$)))⨓(⊙↵-($1209$≧⫂∧$2440$≧⫂∧(⫓⪴$5273$)))","expression":"(⪝⪂⫅(↯⪼(⫏≰2021112∲⫓⫏≰21011222)))⨓(⊙↵-(⫏≰1122210≧⫂∧⫏≰10100101≧⫂∧(⫓⪴⫏≰21020022)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5386,"operation_count":8,"complexity_ratio":673.25,"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":1661,"base":3},"right_expr":{"type":"numeric_atoms","value":5237,"base":3}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1209,"base":3},"right_expr":{"type":"numeric_atoms","value":2440,"base":3}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5273,"base":3}}}}},"used_operators":["3ViojmjbAp","XTarYq4gQB","8jW3W4yZS5","i8ToyICDmI","oWn0xqSxBt","Ph9nP6C5qx","eLxqMNBOBk"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","8w2t5hMYqp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A"],"result":"⫏≰-11","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1661","layer":4},{"info":"number node, value=5237","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=5237, 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 = 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=3087","layer":1},{"info":"number node, value=1209","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=2440, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1967","layer":3},{"info":"number node, value=5273","layer":4},{"info":"compute unary expreesion, input=5273, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=27804529","layer":3},{"info":"compute binary expreesion, left_input=1967, right_input=27804529, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=27804056","layer":2},{"info":"compute unary expreesion, input=27804056, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=3087, right_input=-1, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4","layer":0}],"base":3,"result_base":3,"text":"(⪝⪂⫅(↯⪼(⫏≰2021112∲⫓⫏≰21011222)))⨓(⊙↵-(⫏≰1122210≧⫂∧⫏≰10100101≧⫂∧(⫓⪴⫏≰21020022)))=⫏≰-11","reverse_text":"⫏≰-11=(⪝⪂⫅(↯⪼(⫏≰2021112∲⫓⫏≰21011222)))⨓(⊙↵-(⫏≰1122210≧⫂∧⫏≰10100101≧⫂∧(⫓⪴⫏≰21020022)))","cot":[{"info":"⫏≰2021112∲⫓⫏≰21011222=⫏≰0","layer":3},{"info":"↯⪼⫏≰0=⫏≰-210","layer":2},{"info":"⪝⪂⫅⫏≰-210=⫏≰11020100","layer":1},{"info":"⫏≰1122210≧⫂∧⫏≰10100101=⫏≰2200212","layer":3},{"info":"⫓⪴⫏≰21020022=⫏≰1221022121122101","layer":3},{"info":"⫏≰2200212≧⫂∧⫏≰1221022121122101=⫏≰1221022120222212","layer":2},{"info":"⊙↵-⫏≰1221022120222212=⫏≰-1","layer":1},{"info":"⫏≰11020100⨓⫏≰-1=⫏≰-11","layer":0}]}
{"id":127,"expression_no_base_symbol":"((↣≠⋷($1646$*$2048$))∸)⪛($7512$⋓$1686$⋳⪒$1040$∀⇚≩$5575$⨎($7360$≧⫂∧$4887$)≹⇙⪍($2791$↛⩡⫤))","expression":"((↣≠⋷(⫏≰2020222*⫏≰2210212))∸)⪛(⫏≰101022020⋓⫏≰2022110⋳⪒⫏≰1102112∀⇚≩⫏≰21122111⨎(⫏≰101002121≧⫂∧⫏≰20201000)≹⇙⪍(⫏≰10211101↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17640,"operation_count":11,"complexity_ratio":1603.6363636363637,"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":1646,"base":3},"right_expr":{"type":"numeric_atoms","value":2048,"base":3}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7512,"base":3},"right_expr":{"type":"numeric_atoms","value":1686,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1040,"base":3},"right_expr":{"type":"numeric_atoms","value":5575,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7360,"base":3},"right_expr":{"type":"numeric_atoms","value":4887,"base":3}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2791,"base":3}}}}},"used_operators":["uFcxV4UQCh","o20kRiQErp","Asc51vEJeQ","9HNa5Wba9A","rJVOvQCfKK","12rbrZMWeM","T2fj7uvVaJ","LRNGc0VcxI","AHs5Up7iyr","Ph9nP6C5qx","FU0Cs4j7VP"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","X99M06cbEe","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1646","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=2048, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3371008","layer":3},{"info":"compute unary expreesion, input=3371008, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=7512","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=7512, right_input=1686, op_id = T2fj7uvVaJ 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=1040","layer":4},{"info":"number node, value=5575","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=5575, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=7360","layer":4},{"info":"number node, value=4887","layer":4},{"info":"compute binary expreesion, left_input=7360, right_input=4887, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4414","layer":3},{"info":"number node, value=2791","layer":4},{"info":"compute unary expreesion, input=2791, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-417530","layer":3},{"info":"compute binary expreesion, left_input=4414, right_input=-417530, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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=177, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↣≠⋷(⫏≰2020222*⫏≰2210212))∸)⪛(⫏≰101022020⋓⫏≰2022110⋳⪒⫏≰1102112∀⇚≩⫏≰21122111⨎(⫏≰101002121≧⫂∧⫏≰20201000)≹⇙⪍(⫏≰10211101↛⩡⫤))=NaN","reverse_text":"NaN=((↣≠⋷(⫏≰2020222*⫏≰2210212))∸)⪛(⫏≰101022020⋓⫏≰2022110⋳⪒⫏≰1102112∀⇚≩⫏≰21122111⨎(⫏≰101002121≧⫂∧⫏≰20201000)≹⇙⪍(⫏≰10211101↛⩡⫤))","cot":[{"info":"⫏≰2020222*⫏≰2210212=⫏≰20100021011011","layer":3},{"info":"↣≠⋷⫏≰20100021011011=NaN","layer":2},{"info":"NaN∸=⫏≰20120","layer":1},{"info":"⫏≰101022020⋓⫏≰2022110=⫏≰0","layer":3},{"info":"⫏≰1102112∀⇚≩⫏≰21122111=NaN","layer":3},{"info":"⫏≰0⋳⪒NaN=NaN","layer":2},{"info":"⫏≰101002121≧⫂∧⫏≰20201000=⫏≰20001111","layer":3},{"info":"⫏≰10211101↛⩡⫤=⫏≰-210012202002","layer":3},{"info":"⫏≰20001111≹⇙⪍⫏≰-210012202002=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⫏≰20120⪛NaN=NaN","layer":0}]}
{"id":128,"expression_no_base_symbol":"⨑⩽⪐(($7223$⊉≛↸$1659$)⪮%⊝($4897$⇷$1015$)*($1491$⊉≛↸$1012$)∀⇚≩($1351$⊭↱$2359$))","expression":"⨑⩽⪐((⫏≰100220112⊉≛↸⫏≰2021110)⪮%⊝(⫏≰20201101⇷⫏≰1101121)*(⫏≰2001020⊉≛↸⫏≰1101111)∀⇚≩(⫏≰1212001⊭↱⫏≰10020101))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":89465,"operation_count":8,"complexity_ratio":11183.125,"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":7223,"base":3},"right_expr":{"type":"numeric_atoms","value":1659,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4897,"base":3},"right_expr":{"type":"numeric_atoms","value":1015,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1491,"base":3},"right_expr":{"type":"numeric_atoms","value":1012,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1351,"base":3},"right_expr":{"type":"numeric_atoms","value":2359,"base":3}}}}},"used_operators":["AF7qkfDlqP","9HNa5Wba9A","IWmyXbctLI","DZ8iAZOCBD","mp7IySMOzn","LRNGc0VcxI","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7223","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=7223, right_input=1659, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14446","layer":3},{"info":"number node, value=4897","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=4897, right_input=1015, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2030","layer":3},{"info":"compute binary expreesion, left_input=14446, right_input=2030, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=29208","layer":2},{"info":"number node, value=1491","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=1012, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2982","layer":3},{"info":"number node, value=1351","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=2359, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2021","layer":3},{"info":"compute binary expreesion, left_input=2982, right_input=2021, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=29208, right_input=nan, op_id = 9HNa5Wba9A binary_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":3,"result_base":3,"text":"⨑⩽⪐((⫏≰100220112⊉≛↸⫏≰2021110)⪮%⊝(⫏≰20201101⇷⫏≰1101121)*(⫏≰2001020⊉≛↸⫏≰1101111)∀⇚≩(⫏≰1212001⊭↱⫏≰10020101))=NaN","reverse_text":"NaN=⨑⩽⪐((⫏≰100220112⊉≛↸⫏≰2021110)⪮%⊝(⫏≰20201101⇷⫏≰1101121)*(⫏≰2001020⊉≛↸⫏≰1101111)∀⇚≩(⫏≰1212001⊭↱⫏≰10020101))","cot":[{"info":"⫏≰100220112⊉≛↸⫏≰2021110=⫏≰201211001","layer":3},{"info":"⫏≰20201101⇷⫏≰1101121=⫏≰2210012","layer":3},{"info":"⫏≰201211001⪮%⊝⫏≰2210012=⫏≰1111001210","layer":2},{"info":"⫏≰2001020⊉≛↸⫏≰1101111=⫏≰11002110","layer":3},{"info":"⫏≰1212001⊭↱⫏≰10020101=⫏≰2202212","layer":3},{"info":"⫏≰11002110∀⇚≩⫏≰2202212=NaN","layer":2},{"info":"⫏≰1111001210*NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":129,"expression_no_base_symbol":"(($3434$⫸⊐$2056$)⩷∴(⊄⩳↩$4817$)*(∂($2610$≋⫹)))∸","expression":"((⫏≰11201012⫸⊐⫏≰2211011)⩷∴(⊄⩳↩⫏≰20121102)*(∂(⫏≰10120200≋⫹)))∸","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5586,"operation_count":7,"complexity_ratio":798.0,"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":3434,"base":3},"right_expr":{"type":"numeric_atoms","value":2056,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4817,"base":3}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2610,"base":3}}}}},"used_operators":["o20kRiQErp","9HNa5Wba9A","9FxExcQeMw","mqXw5SEYmG","8w2t5hMYqp","Uaa54Peajs","N41Kp7NANJ"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3434","layer":4},{"info":"number node, value=2056","layer":4},{"info":"compute binary expreesion, left_input=3434, right_input=2056, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8099","layer":3},{"info":"number node, value=4817","layer":4},{"info":"compute unary expreesion, input=4817, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14451","layer":3},{"info":"compute binary expreesion, left_input=8099, right_input=-14451, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=45068","layer":2},{"info":"number node, value=2610","layer":4},{"info":"compute unary expreesion, input=2610, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5220","layer":3},{"info":"compute unary expreesion, input=-5220, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=4956","layer":2},{"info":"compute binary expreesion, left_input=45068, right_input=4956, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=223357008","layer":1},{"info":"compute unary expreesion, input=223357008, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11201012⫸⊐⫏≰2211011)⩷∴(⊄⩳↩⫏≰20121102)*(∂(⫏≰10120200≋⫹)))∸=⫏≰20120","reverse_text":"⫏≰20120=((⫏≰11201012⫸⊐⫏≰2211011)⩷∴(⊄⩳↩⫏≰20121102)*(∂(⫏≰10120200≋⫹)))∸","cot":[{"info":"⫏≰11201012⫸⊐⫏≰2211011=⫏≰102002222","layer":3},{"info":"⊄⩳↩⫏≰20121102=⫏≰-201211020","layer":3},{"info":"⫏≰102002222⩷∴⫏≰-201211020=⫏≰2021211012","layer":2},{"info":"⫏≰10120200≋⫹=⫏≰-21011100","layer":3},{"info":"∂⫏≰-21011100=⫏≰20210120","layer":2},{"info":"⫏≰2021211012*⫏≰20210120=⫏≰120120021201012210","layer":1},{"info":"⫏≰120120021201012210∸=⫏≰20120","layer":0}]}
{"id":130,"expression_no_base_symbol":"((($3716$⫡⨏$6261$)≣⋋)/$4869$⇷$3349$↺$6215$⋥≓≎$4735$)⋥≓≎((⨞⊢$1161$⪛$4244$)⫡⨏($2390$≫≃)∼(⫛⫱⨽$1978$))","expression":"(((⫏≰12002122⫡⨏⫏≰22120220)≣⋋)/⫏≰20200100⇷⫏≰11121001↺⫏≰22112012⋥≓≎⫏≰20111101)⋥≓≎((⨞⊢⫏≰1121000⪛⫏≰12211012)⫡⨏(⫏≰10021112≫≃)∼(⫛⫱⨽⫏≰2201021))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":70288,"operation_count":13,"complexity_ratio":5406.7692307692305,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3716,"base":3},"right_expr":{"type":"numeric_atoms","value":6261,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4869,"base":3},"right_expr":{"type":"numeric_atoms","value":3349,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6215,"base":3},"right_expr":{"type":"numeric_atoms","value":4735,"base":3}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1161,"base":3},"right_expr":{"type":"numeric_atoms","value":4244,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2390,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1978,"base":3}}}}},"used_operators":["Qy55tPpLXF","XhwjNDsVaA","Tcnh7f0tEr","QMFrweE19q","7j4O788W3g","mp7IySMOzn","xUOZtlo3hN","uFcxV4UQCh","DyGG3AbaNP","X99M06cbEe","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC"],"result":"⫏≰-121000021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3716","layer":4},{"info":"number node, value=6261","layer":4},{"info":"compute binary expreesion, left_input=3716, right_input=6261, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31885","layer":3},{"info":"compute unary expreesion, input=31885, 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=4869","layer":4},{"info":"number node, value=3349","layer":4},{"info":"compute binary expreesion, left_input=4869, right_input=3349, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6698","layer":3},{"info":"number node, value=6215","layer":4},{"info":"number node, value=4735","layer":4},{"info":"compute binary expreesion, left_input=6215, right_input=4735, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3288","layer":3},{"info":"compute binary expreesion, left_input=6698, right_input=3288, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3288","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3288, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1161","layer":4},{"info":"number node, value=4244","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=4244, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1161","layer":3},{"info":"compute unary expreesion, input=1161, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1335","layer":2},{"info":"number node, value=2390","layer":4},{"info":"compute unary expreesion, input=2390, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6181","layer":3},{"info":"number node, value=1978","layer":4},{"info":"compute unary expreesion, input=1978, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6181, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=-1335, right_input=20, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-5852","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-5852, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-11671","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰12002122⫡⨏⫏≰22120220)≣⋋)/⫏≰20200100⇷⫏≰11121001↺⫏≰22112012⋥≓≎⫏≰20111101)⋥≓≎((⨞⊢⫏≰1121000⪛⫏≰12211012)⫡⨏(⫏≰10021112≫≃)∼(⫛⫱⨽⫏≰2201021))=⫏≰-121000021","reverse_text":"⫏≰-121000021=(((⫏≰12002122⫡⨏⫏≰22120220)≣⋋)/⫏≰20200100⇷⫏≰11121001↺⫏≰22112012⋥≓≎⫏≰20111101)⋥≓≎((⨞⊢⫏≰1121000⪛⫏≰12211012)⫡⨏(⫏≰10021112≫≃)∼(⫛⫱⨽⫏≰2201021))","cot":[{"info":"⫏≰12002122⫡⨏⫏≰22120220=⫏≰1121201221","layer":3},{"info":"⫏≰1121201221≣⋋=⫏≰0","layer":2},{"info":"⫏≰20200100⇷⫏≰11121001=⫏≰100012002","layer":3},{"info":"⫏≰22112012⋥≓≎⫏≰20111101=⫏≰11111210","layer":3},{"info":"⫏≰100012002↺⫏≰11111210=⫏≰11111210","layer":2},{"info":"⫏≰0/⫏≰11111210=⫏≰0","layer":1},{"info":"⫏≰1121000⪛⫏≰12211012=⫏≰1121000","layer":3},{"info":"⨞⊢⫏≰1121000=⫏≰-1211110","layer":2},{"info":"⫏≰10021112≫≃=⫏≰22110221","layer":3},{"info":"⫛⫱⨽⫏≰2201021=⫏≰0","layer":3},{"info":"⫏≰22110221∼⫏≰0=⫏≰202","layer":2},{"info":"⫏≰-1211110⫡⨏⫏≰202=⫏≰-22000202","layer":1},{"info":"⫏≰0⋥≓≎⫏≰-22000202=⫏≰-121000021","layer":0}]}
{"id":131,"expression_no_base_symbol":"≤/(⇁⨣⪵(($1329$⨳⩥⨓$3727$)∸))","expression":"≤/(⇁⨣⪵((⫏≰1211020⨳⩥⨓⫏≰12010001)∸))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":182,"operation_count":4,"complexity_ratio":45.5,"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":1329,"base":3},"right_expr":{"type":"numeric_atoms","value":3727,"base":3}}}}},"used_operators":["eLAdDNolq6","inkyxCbjAn","o20kRiQErp","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1329","layer":4},{"info":"number node, value=3727","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=3727, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2398","layer":3},{"info":"compute unary expreesion, input=2398, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"≤/(⇁⨣⪵((⫏≰1211020⨳⩥⨓⫏≰12010001)∸))=NaN","reverse_text":"NaN=≤/(⇁⨣⪵((⫏≰1211020⨳⩥⨓⫏≰12010001)∸))","cot":[{"info":"⫏≰1211020⨳⩥⨓⫏≰12010001=⫏≰10021211","layer":3},{"info":"⫏≰10021211∸=⫏≰20120","layer":2},{"info":"⇁⨣⪵⫏≰20120=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":132,"expression_no_base_symbol":"(⇁⨣⪵($3686$⨰$1655$∲⫓$6382$⩚⊴⇥$1743$))↺(+⊝⨔(($2606$↬$1424$)⪮%⊝(⪝⪂⫅$5264$)))","expression":"(⇁⨣⪵(⫏≰12001112⨰⫏≰2021022∲⫓⫏≰22202101⩚⊴⇥⫏≰2101120))↺(+⊝⨔((⫏≰10120112↬⫏≰1221202)⪮%⊝(⪝⪂⫅⫏≰21012222)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":193,"operation_count":9,"complexity_ratio":21.444444444444443,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3686,"base":3},"right_expr":{"type":"numeric_atoms","value":1655,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6382,"base":3},"right_expr":{"type":"numeric_atoms","value":1743,"base":3}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2606,"base":3},"right_expr":{"type":"numeric_atoms","value":1424,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5264,"base":3}}}}},"used_operators":["7j4O788W3g","inkyxCbjAn","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","DhbWaqg5eL","IWmyXbctLI","B5M0gjZbta","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3686","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=3686, right_input=1655, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2041","layer":3},{"info":"number node, value=6382","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=6382, right_input=1743, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8246","layer":3},{"info":"compute binary expreesion, left_input=2041, right_input=-8246, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=2041","layer":2},{"info":"compute unary expreesion, input=2041, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=2606","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=2606, right_input=1424, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5264","layer":4},{"info":"compute unary expreesion, input=5264, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-773808","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-773808, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1522","layer":0}],"base":3,"result_base":3,"text":"(⇁⨣⪵(⫏≰12001112⨰⫏≰2021022∲⫓⫏≰22202101⩚⊴⇥⫏≰2101120))↺(+⊝⨔((⫏≰10120112↬⫏≰1221202)⪮%⊝(⪝⪂⫅⫏≰21012222)))=⫏≰2002101","reverse_text":"⫏≰2002101=(⇁⨣⪵(⫏≰12001112⨰⫏≰2021022∲⫓⫏≰22202101⩚⊴⇥⫏≰2101120))↺(+⊝⨔((⫏≰10120112↬⫏≰1221202)⪮%⊝(⪝⪂⫅⫏≰21012222)))","cot":[{"info":"⫏≰12001112⨰⫏≰2021022=⫏≰2210121","layer":3},{"info":"⫏≰22202101⩚⊴⇥⫏≰2101120=⫏≰-102022102","layer":3},{"info":"⫏≰2210121∲⫓⫏≰-102022102=⫏≰2210121","layer":2},{"info":"⇁⨣⪵⫏≰2210121=NaN","layer":1},{"info":"⫏≰10120112↬⫏≰1221202=NaN","layer":3},{"info":"⪝⪂⫅⫏≰21012222=⫏≰-1110022110120","layer":3},{"info":"NaN⪮%⊝⫏≰-1110022110120=NaN","layer":2},{"info":"+⊝⨔NaN=⫏≰2002101","layer":1},{"info":"NaN↺⫏≰2002101=⫏≰2002101","layer":0}]}
{"id":133,"expression_no_base_symbol":"(($4422$≦≮≮)∀⇚≩($1920$*$1010$)↪⪝)∧","expression":"((⫏≰20001210≦≮≮)∀⇚≩(⫏≰2122010*⫏≰1101102)↪⪝)∧","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":93888,"operation_count":5,"complexity_ratio":18777.6,"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":4422,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1920,"base":3},"right_expr":{"type":"numeric_atoms","value":1010,"base":3}}}}},"used_operators":["z63VuFQld9","l07mrZUIn9","LRNGc0VcxI","D4vGDi5EA2","9HNa5Wba9A"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4422","layer":4},{"info":"compute unary expreesion, input=4422, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13266","layer":3},{"info":"number node, value=1920","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=1010, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1939200","layer":3},{"info":"compute binary expreesion, left_input=-13266, right_input=1939200, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20001210≦≮≮)∀⇚≩(⫏≰2122010*⫏≰1101102)↪⪝)∧=NaN","reverse_text":"NaN=((⫏≰20001210≦≮≮)∀⇚≩(⫏≰2122010*⫏≰1101102)↪⪝)∧","cot":[{"info":"⫏≰20001210≦≮≮=⫏≰-200012100","layer":3},{"info":"⫏≰2122010*⫏≰1101102=⫏≰10122112002020","layer":3},{"info":"⫏≰-200012100∀⇚≩⫏≰10122112002020=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"(↽≂(⇁⨣⪵$8295$)∀⇚≩($2335$⊭↱$4442$))∑⇟⊟(((↯⪼$2843$)≫≃)↪⪝)","expression":"(↽≂(⇁⨣⪵⫏≰102101020)∀⇚≩(⫏≰10012111⊭↱⫏≰20002112))∑⇟⊟(((↯⪼⫏≰10220022)≫≃)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":750,"operation_count":8,"complexity_ratio":93.75,"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":8295,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2335,"base":3},"right_expr":{"type":"numeric_atoms","value":4442,"base":3}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2843,"base":3}}}}},"used_operators":["U7g4x0WXJJ","u6S6b8DprG","LRNGc0VcxI","inkyxCbjAn","COABgblf1C","l07mrZUIn9","X99M06cbEe","8jW3W4yZS5"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8295","layer":4},{"info":"compute unary expreesion, input=8295, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2335","layer":4},{"info":"number node, value=4442","layer":4},{"info":"compute binary expreesion, left_input=2335, right_input=4442, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4219","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4219, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":"number node, value=2843","layer":4},{"info":"compute unary expreesion, input=2843, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1359","layer":2},{"info":"compute unary expreesion, input=1359, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=83146338","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=83146338, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↽≂(⇁⨣⪵⫏≰102101020)∀⇚≩(⫏≰10012111⊭↱⫏≰20002112))∑⇟⊟(((↯⪼⫏≰10220022)≫≃)↪⪝)=NaN","reverse_text":"NaN=(↽≂(⇁⨣⪵⫏≰102101020)∀⇚≩(⫏≰10012111⊭↱⫏≰20002112))∑⇟⊟(((↯⪼⫏≰10220022)≫≃)↪⪝)","cot":[{"info":"⇁⨣⪵⫏≰102101020=NaN","layer":3},{"info":"⫏≰10012111⊭↱⫏≰20002112=⫏≰12210021","layer":3},{"info":"NaN∀⇚≩⫏≰12210021=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"↯⪼⫏≰10220022=⫏≰-210","layer":3},{"info":"⫏≰-210≫≃=⫏≰1212100","layer":2},{"info":"⫏≰1212100↪⪝=⫏≰12210110021100000","layer":1},{"info":"NaN∑⇟⊟⫏≰12210110021100000=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"(($7063$∀⇚≩$1882$⪒$1001$⪮%⊝$3293$)⩷∴((⊥$4297$)≧⫂∧($5069$+⇶⊼$3083$)))∧","expression":"((⫏≰100200121∀⇚≩⫏≰2120201⪒⫏≰1101002⪮%⊝⫏≰11111222)⩷∴((⊥⫏≰12220011)≧⫂∧(⫏≰20221202+⇶⊼⫏≰11020012)))∧","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":49470,"operation_count":8,"complexity_ratio":6183.75,"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":7063,"base":3},"right_expr":{"type":"numeric_atoms","value":1882,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1001,"base":3},"right_expr":{"type":"numeric_atoms","value":3293,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4297,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5069,"base":3},"right_expr":{"type":"numeric_atoms","value":3083,"base":3}}}}},"used_operators":["z63VuFQld9","9FxExcQeMw","f6k1SAg4EE","LRNGc0VcxI","IWmyXbctLI","Ph9nP6C5qx","Q3PJZHRvZv","TpPTUOHfaN"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=7063","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=7063, right_input=1882, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1001","layer":4},{"info":"number node, value=3293","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=3293, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2318","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2318, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=4297","layer":4},{"info":"compute unary expreesion, input=4297, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=5069","layer":4},{"info":"number node, value=3083","layer":4},{"info":"compute binary expreesion, left_input=5069, right_input=3083, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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 = 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰100200121∀⇚≩⫏≰2120201⪒⫏≰1101002⪮%⊝⫏≰11111222)⩷∴((⊥⫏≰12220011)≧⫂∧(⫏≰20221202+⇶⊼⫏≰11020012)))∧=NaN","reverse_text":"NaN=((⫏≰100200121∀⇚≩⫏≰2120201⪒⫏≰1101002⪮%⊝⫏≰11111222)⩷∴((⊥⫏≰12220011)≧⫂∧(⫏≰20221202+⇶⊼⫏≰11020012)))∧","cot":[{"info":"⫏≰100200121∀⇚≩⫏≰2120201=NaN","layer":3},{"info":"⫏≰1101002⪮%⊝⫏≰11111222=⫏≰10011212","layer":3},{"info":"NaN⪒⫏≰10011212=NaN","layer":2},{"info":"⊥⫏≰12220011=NaN","layer":3},{"info":"⫏≰20221202+⇶⊼⫏≰11020012=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":136,"expression_no_base_symbol":"≤/((($1649$⊘)⩤)⋷(↣≠⋷(≉$4691$)))","expression":"≤/(((⫏≰2021002⊘)⩤)⋷(↣≠⋷(≉⫏≰20102202)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":28,"operation_count":6,"complexity_ratio":4.666666666666667,"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":1649,"base":3}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4691,"base":3}}}}},"used_operators":["eLAdDNolq6","23Mk6UjR3U","Z2TMIBDE3Q","gu96TGCTMs","Asc51vEJeQ","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰122221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1649","layer":4},{"info":"compute unary expreesion, input=1649, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":2},{"info":"number node, value=4691","layer":4},{"info":"compute unary expreesion, input=4691, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5222","layer":3},{"info":"compute unary expreesion, input=5222, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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 unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":0}],"base":3,"result_base":3,"text":"≤/(((⫏≰2021002⊘)⩤)⋷(↣≠⋷(≉⫏≰20102202)))=⫏≰122221","reverse_text":"⫏≰122221=≤/(((⫏≰2021002⊘)⩤)⋷(↣≠⋷(≉⫏≰20102202)))","cot":[{"info":"⫏≰2021002⊘=⫏≰0","layer":3},{"info":"⫏≰0⩤=⫏≰0","layer":2},{"info":"≉⫏≰20102202=⫏≰21011102","layer":3},{"info":"↣≠⋷⫏≰21011102=NaN","layer":2},{"info":"⫏≰0⋷NaN=⫏≰0","layer":1},{"info":"≤/⫏≰0=⫏≰122221","layer":0}]}
{"id":137,"expression_no_base_symbol":"(+⊝⨔(($1965$+$2832$)⋳⪒$4140$∀⇚≩$3590$))⊭↱($2370$⪮%⊝$5028$⨰($4483$↙$9071$))⨪↰⇹(($1773$≎⊠⪸$5818$)∑⇟⊟($2189$⋝⋈⪟$7178$))","expression":"(+⊝⨔((⫏≰2200210+⫏≰10212220)⋳⪒⫏≰12200100∀⇚≩⫏≰11220222))⊭↱(⫏≰10020210⪮%⊝⫏≰20220020⨰(⫏≰20011001↙⫏≰110102222))⨪↰⇹((⫏≰2102200≎⊠⪸⫏≰21222111)∑⇟⊟(⫏≰10000002⋝⋈⪟⫏≰100211212))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":70656,"operation_count":12,"complexity_ratio":5888.0,"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":1965,"base":3},"right_expr":{"type":"numeric_atoms","value":2832,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4140,"base":3},"right_expr":{"type":"numeric_atoms","value":3590,"base":3}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2370,"base":3},"right_expr":{"type":"numeric_atoms","value":5028,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4483,"base":3},"right_expr":{"type":"numeric_atoms","value":9071,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1773,"base":3},"right_expr":{"type":"numeric_atoms","value":5818,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2189,"base":3},"right_expr":{"type":"numeric_atoms","value":7178,"base":3}}}}},"used_operators":["COABgblf1C","DhbWaqg5eL","12rbrZMWeM","W4YGzv6Whe","LRNGc0VcxI","tmPS8pqC7x","eewbuw0ToL","IWmyXbctLI","yyfyN0ffXY","U7g4x0WXJJ","bJkvcejdHO","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰10010101111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1965","layer":4},{"info":"number node, value=2832","layer":4},{"info":"compute binary expreesion, left_input=1965, right_input=2832, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4797","layer":3},{"info":"number node, value=4140","layer":4},{"info":"number node, value=3590","layer":4},{"info":"compute binary expreesion, left_input=4140, right_input=3590, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4797, 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 = 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=2370","layer":4},{"info":"number node, value=5028","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=5028, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5056","layer":3},{"info":"number node, value=4483","layer":4},{"info":"number node, value=9071","layer":4},{"info":"compute binary expreesion, left_input=4483, right_input=9071, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-27213","layer":3},{"info":"compute binary expreesion, left_input=5056, right_input=-27213, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=32279","layer":2},{"info":"number node, value=1773","layer":4},{"info":"number node, value=5818","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=5818, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=458734","layer":3},{"info":"number node, value=2189","layer":4},{"info":"number node, value=7178","layer":4},{"info":"compute binary expreesion, left_input=2189, right_input=7178, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2189","layer":3},{"info":"compute binary expreesion, left_input=458734, right_input=2189, 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=32279, 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=32279","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=32279, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=61519","layer":0}],"base":3,"result_base":3,"text":"(+⊝⨔((⫏≰2200210+⫏≰10212220)⋳⪒⫏≰12200100∀⇚≩⫏≰11220222))⊭↱(⫏≰10020210⪮%⊝⫏≰20220020⨰(⫏≰20011001↙⫏≰110102222))⨪↰⇹((⫏≰2102200≎⊠⪸⫏≰21222111)∑⇟⊟(⫏≰10000002⋝⋈⪟⫏≰100211212))=⫏≰10010101111","reverse_text":"⫏≰10010101111=(+⊝⨔((⫏≰2200210+⫏≰10212220)⋳⪒⫏≰12200100∀⇚≩⫏≰11220222))⊭↱(⫏≰10020210⪮%⊝⫏≰20220020⨰(⫏≰20011001↙⫏≰110102222))⨪↰⇹((⫏≰2102200≎⊠⪸⫏≰21222111)∑⇟⊟(⫏≰10000002⋝⋈⪟⫏≰100211212))","cot":[{"info":"⫏≰2200210+⫏≰10212220=⫏≰20120200","layer":3},{"info":"⫏≰12200100∀⇚≩⫏≰11220222=NaN","layer":3},{"info":"⫏≰20120200⋳⪒NaN=NaN","layer":2},{"info":"+⊝⨔NaN=⫏≰2002101","layer":1},{"info":"⫏≰10020210⪮%⊝⫏≰20220020=⫏≰20221021","layer":3},{"info":"⫏≰20011001↙⫏≰110102222=⫏≰-1101022220","layer":3},{"info":"⫏≰20221021⨰⫏≰-1101022220=⫏≰1122021112","layer":2},{"info":"⫏≰2102200≎⊠⪸⫏≰21222111=⫏≰212022021011","layer":3},{"info":"⫏≰10000002⋝⋈⪟⫏≰100211212=⫏≰10000002","layer":3},{"info":"⫏≰212022021011∑⇟⊟⫏≰10000002=NaN","layer":2},{"info":"⫏≰1122021112⨪↰⇹NaN=⫏≰1122021112","layer":1},{"info":"⫏≰2002101⊭↱⫏≰1122021112=⫏≰10010101111","layer":0}]}
{"id":138,"expression_no_base_symbol":"((($1403$⩠)-$4937$≹⇙⪍$5714$)⫩⊇)+(⊄⩳↩($8406$⨐⩸⫘$2783$))⇼⇔∾($2073$≦≮≮)⇷(⫓⪴$1082$)","expression":"(((⫏≰1220222⩠)-⫏≰20202212≹⇙⪍⫏≰21211122)⫩⊇)+(⊄⩳↩(⫏≰102112100⨐⩸⫘⫏≰10211002))⇼⇔∾(⫏≰2211210≦≮≮)⇷(⫓⪴⫏≰1111002)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":88186,"operation_count":11,"complexity_ratio":8016.909090909091,"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":1403,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4937,"base":3},"right_expr":{"type":"numeric_atoms","value":5714,"base":3}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8406,"base":3},"right_expr":{"type":"numeric_atoms","value":2783,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2073,"base":3}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1082,"base":3}}}}},"used_operators":["W4YGzv6Whe","BjRHVeLaeN","rysDP5nf3Z","sJAwomhLZr","AHs5Up7iyr","tifHPKVTfV","8w2t5hMYqp","fu6greOZ01","mp7IySMOzn","D4vGDi5EA2","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1403","layer":4},{"info":"compute unary expreesion, input=1403, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=4937","layer":4},{"info":"number node, value=5714","layer":4},{"info":"compute binary expreesion, left_input=4937, right_input=5714, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"number node, value=8406","layer":4},{"info":"number node, value=2783","layer":4},{"info":"compute binary expreesion, left_input=8406, right_input=2783, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=2073","layer":4},{"info":"compute unary expreesion, input=2073, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6219","layer":3},{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1170724","layer":3},{"info":"compute binary expreesion, left_input=-6219, right_input=1170724, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2341448","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2341448, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', 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":3,"result_base":3,"text":"(((⫏≰1220222⩠)-⫏≰20202212≹⇙⪍⫏≰21211122)⫩⊇)+(⊄⩳↩(⫏≰102112100⨐⩸⫘⫏≰10211002))⇼⇔∾(⫏≰2211210≦≮≮)⇷(⫓⪴⫏≰1111002)=NaN","reverse_text":"NaN=(((⫏≰1220222⩠)-⫏≰20202212≹⇙⪍⫏≰21211122)⫩⊇)+(⊄⩳↩(⫏≰102112100⨐⩸⫘⫏≰10211002))⇼⇔∾(⫏≰2211210≦≮≮)⇷(⫓⪴⫏≰1111002)","cot":[{"info":"⫏≰1220222⩠=⫏≰0","layer":3},{"info":"⫏≰20202212≹⇙⪍⫏≰21211122=NaN","layer":3},{"info":"⫏≰0-NaN=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"⫏≰102112100⨐⩸⫘⫏≰10211002=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⫏≰2211210≦≮≮=⫏≰-22112100","layer":3},{"info":"⫓⪴⫏≰1111002=⫏≰2012110221011","layer":3},{"info":"⫏≰-22112100⇷⫏≰2012110221011=⫏≰11101221212022","layer":2},{"info":"NaN⇼⇔∾⫏≰11101221212022=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":139,"expression_no_base_symbol":"($7736$↬$3397$%$5439$⩚⊴⇥$1484$)∀⇚≩(($2791$⫥∨⫟$8864$)⨰(⨈⫕$3751$))≧⫂∧(((≉$5679$)≦≮≮)⊭↱($4255$⫥∨⫟$2885$)⋓(⇁⨣⪵$5628$))","expression":"(⫏≰101121112↬⫏≰11122211%⫏≰21110110⩚⊴⇥⫏≰2000222)∀⇚≩((⫏≰10211101⫥∨⫟⫏≰110011022)⨰(⨈⫕⫏≰12010221))≧⫂∧(((≉⫏≰21210100)≦≮≮)⊭↱(⫏≰12211121⫥∨⫟⫏≰10221212)⋓(⇁⨣⪵⫏≰21201110))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":732,"operation_count":14,"complexity_ratio":52.285714285714285,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":7736,"base":3},"right_expr":{"type":"numeric_atoms","value":3397,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5439,"base":3},"right_expr":{"type":"numeric_atoms","value":1484,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2791,"base":3},"right_expr":{"type":"numeric_atoms","value":8864,"base":3}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3751,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5679,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4255,"base":3},"right_expr":{"type":"numeric_atoms","value":2885,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5628,"base":3}}}}},"used_operators":["Ph9nP6C5qx","LRNGc0VcxI","k8jYdgA6NY","B5M0gjZbta","NTOWxs364D","eewbuw0ToL","KYD54nUTWz","megm06wKyl","COABgblf1C","D4vGDi5EA2","e1ybzncUwg","T2fj7uvVaJ","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7736","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=7736, right_input=3397, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5439","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=5439, right_input=1484, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7044","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7044, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2791","layer":4},{"info":"number node, value=8864","layer":4},{"info":"compute binary expreesion, left_input=2791, right_input=8864, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3751","layer":4},{"info":"compute unary expreesion, input=3751, 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=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=5679","layer":4},{"info":"compute unary expreesion, input=5679, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6210","layer":3},{"info":"compute unary expreesion, input=6210, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-18630","layer":2},{"info":"number node, value=4255","layer":4},{"info":"number node, value=2885","layer":4},{"info":"compute binary expreesion, left_input=4255, right_input=2885, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5628","layer":4},{"info":"compute unary expreesion, input=5628, 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 = T2fj7uvVaJ 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=-18630, 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=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":3,"result_base":3,"text":"(⫏≰101121112↬⫏≰11122211%⫏≰21110110⩚⊴⇥⫏≰2000222)∀⇚≩((⫏≰10211101⫥∨⫟⫏≰110011022)⨰(⨈⫕⫏≰12010221))≧⫂∧(((≉⫏≰21210100)≦≮≮)⊭↱(⫏≰12211121⫥∨⫟⫏≰10221212)⋓(⇁⨣⪵⫏≰21201110))=NaN","reverse_text":"NaN=(⫏≰101121112↬⫏≰11122211%⫏≰21110110⩚⊴⇥⫏≰2000222)∀⇚≩((⫏≰10211101⫥∨⫟⫏≰110011022)⨰(⨈⫕⫏≰12010221))≧⫂∧(((≉⫏≰21210100)≦≮≮)⊭↱(⫏≰12211121⫥∨⫟⫏≰10221212)⋓(⇁⨣⪵⫏≰21201110))","cot":[{"info":"⫏≰101121112↬⫏≰11122211=NaN","layer":3},{"info":"⫏≰21110110⩚⊴⇥⫏≰2000222=⫏≰-100122220","layer":3},{"info":"NaN%⫏≰-100122220=NaN","layer":2},{"info":"⫏≰10211101⫥∨⫟⫏≰110011022=NaN","layer":3},{"info":"⨈⫕⫏≰12010221=⫏≰-210","layer":3},{"info":"NaN⨰⫏≰-210=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"≉⫏≰21210100=⫏≰22112000","layer":3},{"info":"⫏≰22112000≦≮≮=⫏≰-221120000","layer":2},{"info":"⫏≰12211121⫥∨⫟⫏≰10221212=NaN","layer":3},{"info":"⇁⨣⪵⫏≰21201110=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"⫏≰-221120000⊭↱NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":140,"expression_no_base_symbol":"($3529$⨰$3906$⇼⇔∾$2833$⨪↰⇹$1128$)∀⇚≩($1887$⨪↰⇹$6241$⩚⊴⇥($5805$≋⫹))+(⫛⫱⨽(($2577$⫌⩹⨱)⋳⪒$6829$⩚⊴⇥$1116$))","expression":"(⫏≰11211201⨰⫏≰12100200⇼⇔∾⫏≰10212221⨪↰⇹⫏≰1112210)∀⇚≩(⫏≰2120220⨪↰⇹⫏≰22120011⩚⊴⇥(⫏≰21222000≋⫹))+(⫛⫱⨽((⫏≰10112110⫌⩹⨱)⋳⪒⫏≰100100221⩚⊴⇥⫏≰1112100))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":28574,"operation_count":12,"complexity_ratio":2381.1666666666665,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3529,"base":3},"right_expr":{"type":"numeric_atoms","value":3906,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2833,"base":3},"right_expr":{"type":"numeric_atoms","value":1128,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1887,"base":3},"right_expr":{"type":"numeric_atoms","value":6241,"base":3}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5805,"base":3}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2577,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6829,"base":3},"right_expr":{"type":"numeric_atoms","value":1116,"base":3}}}}},"used_operators":["W4YGzv6Whe","LRNGc0VcxI","tifHPKVTfV","eewbuw0ToL","tmPS8pqC7x","NTOWxs364D","N41Kp7NANJ","DlLNRPXxWL","12rbrZMWeM","EBcxylXtPf"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3529","layer":4},{"info":"number node, value=3906","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=3906, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-367","layer":3},{"info":"number node, value=2833","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=2833, right_input=1128, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2833","layer":3},{"info":"compute binary expreesion, left_input=-367, right_input=2833, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3200","layer":2},{"info":"number node, value=1887","layer":4},{"info":"number node, value=6241","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=6241, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1887","layer":3},{"info":"number node, value=5805","layer":4},{"info":"compute unary expreesion, input=5805, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-11610","layer":3},{"info":"compute binary expreesion, left_input=1887, right_input=-11610, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=9602","layer":2},{"info":"compute binary expreesion, left_input=3200, right_input=9602, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2577","layer":4},{"info":"compute unary expreesion, input=2577, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6555","layer":3},{"info":"number node, value=6829","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=6829, right_input=1116, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8066","layer":3},{"info":"compute binary expreesion, left_input=6555, right_input=-8066, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=20889","layer":2},{"info":"compute unary expreesion, input=20889, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11211201⨰⫏≰12100200⇼⇔∾⫏≰10212221⨪↰⇹⫏≰1112210)∀⇚≩(⫏≰2120220⨪↰⇹⫏≰22120011⩚⊴⇥(⫏≰21222000≋⫹))+(⫛⫱⨽((⫏≰10112110⫌⩹⨱)⋳⪒⫏≰100100221⩚⊴⇥⫏≰1112100))=NaN","reverse_text":"NaN=(⫏≰11211201⨰⫏≰12100200⇼⇔∾⫏≰10212221⨪↰⇹⫏≰1112210)∀⇚≩(⫏≰2120220⨪↰⇹⫏≰22120011⩚⊴⇥(⫏≰21222000≋⫹))+(⫛⫱⨽((⫏≰10112110⫌⩹⨱)⋳⪒⫏≰100100221⩚⊴⇥⫏≰1112100))","cot":[{"info":"⫏≰11211201⨰⫏≰12100200=⫏≰-111121","layer":3},{"info":"⫏≰10212221⨪↰⇹⫏≰1112210=⫏≰10212221","layer":3},{"info":"⫏≰-111121⇼⇔∾⫏≰10212221=⫏≰11101112","layer":2},{"info":"⫏≰2120220⨪↰⇹⫏≰22120011=⫏≰2120220","layer":3},{"info":"⫏≰21222000≋⫹=⫏≰-120221000","layer":3},{"info":"⫏≰2120220⩚⊴⇥⫏≰-120221000=⫏≰111011122","layer":2},{"info":"⫏≰11101112∀⇚≩⫏≰111011122=NaN","layer":1},{"info":"⫏≰10112110⫌⩹⨱=⫏≰22222210","layer":3},{"info":"⫏≰100100221⩚⊴⇥⫏≰1112100=⫏≰-102001202","layer":3},{"info":"⫏≰22222210⋳⪒⫏≰-102001202=⫏≰1001122200","layer":2},{"info":"⫛⫱⨽⫏≰1001122200=⫏≰0","layer":1},{"info":"NaN+⫏≰0=NaN","layer":0}]}
{"id":141,"expression_no_base_symbol":"$4729$⪘⫢$1257$⩚⊴⇥($1342$⫌⩹⨱)⨎(↩$5596$⨽$2332$)⨎(($5865$⨵⪆$5698$)≭($4796$+$1264$))⇷$3780$⊴$3324$⪮%⊝(∥⊫$1867$)","expression":"⫏≰20111011⪘⫢⫏≰1201120⩚⊴⇥(⫏≰1211201⫌⩹⨱)⨎(↩⫏≰21200021⨽⫏≰10012101)⨎((⫏≰22001020⨵⪆⫏≰21211001)≭(⫏≰20120122+⫏≰1201211))⇷⫏≰12012000⊴⫏≰11120010⪮%⊝(∥⊫⫏≰2120011)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9083,"operation_count":14,"complexity_ratio":648.7857142857143,"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":4729,"base":3},"right_expr":{"type":"numeric_atoms","value":1257,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1342,"base":3}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5596,"base":3},"right_expr":{"type":"numeric_atoms","value":2332,"base":3}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5865,"base":3},"right_expr":{"type":"numeric_atoms","value":5698,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4796,"base":3},"right_expr":{"type":"numeric_atoms","value":1264,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3780,"base":3},"right_expr":{"type":"numeric_atoms","value":3324,"base":3}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1867,"base":3}}}}},"used_operators":["rJVOvQCfKK","NTOWxs364D","oacrs7FA3X","EBcxylXtPf","jLgFTUHLKL","8HhzD0ZcuI","mp7IySMOzn","rxpJgHHUmx","2DQ55sFlQl","W4YGzv6Whe","IWmyXbctLI","Nsiff2A1zJ","P8v4zCKN1o"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4729","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=4729, right_input=1257, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9334","layer":3},{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4085","layer":3},{"info":"compute binary expreesion, left_input=9334, right_input=4085, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13540","layer":2},{"info":"number node, value=5596","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=5596, right_input=2332, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-93951330","layer":3},{"info":"compute unary expreesion, input=-93951330, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=375807940","layer":2},{"info":"compute binary expreesion, left_input=-13540, right_input=375807940, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=375807940","layer":1},{"info":"number node, value=5865","layer":4},{"info":"number node, value=5698","layer":4},{"info":"compute binary expreesion, left_input=5865, right_input=5698, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4796","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=4796, right_input=1264, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6060","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6060, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3780","layer":4},{"info":"number node, value=3324","layer":4},{"info":"compute binary expreesion, left_input=3780, right_input=3324, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1867","layer":4},{"info":"compute unary expreesion, input=1867, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2735","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2735, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=375807940, 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":3,"result_base":3,"text":"⫏≰20111011⪘⫢⫏≰1201120⩚⊴⇥(⫏≰1211201⫌⩹⨱)⨎(↩⫏≰21200021⨽⫏≰10012101)⨎((⫏≰22001020⨵⪆⫏≰21211001)≭(⫏≰20120122+⫏≰1201211))⇷⫏≰12012000⊴⫏≰11120010⪮%⊝(∥⊫⫏≰2120011)=NaN","reverse_text":"NaN=⫏≰20111011⪘⫢⫏≰1201120⩚⊴⇥(⫏≰1211201⫌⩹⨱)⨎(↩⫏≰21200021⨽⫏≰10012101)⨎((⫏≰22001020⨵⪆⫏≰21211001)≭(⫏≰20120122+⫏≰1201211))⇷⫏≰12012000⊴⫏≰11120010⪮%⊝(∥⊫⫏≰2120011)","cot":[{"info":"⫏≰20111011⪘⫢⫏≰1201120=⫏≰110210201","layer":3},{"info":"⫏≰1211201⫌⩹⨱=⫏≰12121022","layer":3},{"info":"⫏≰110210201⩚⊴⇥⫏≰12121022=⫏≰-200120111","layer":2},{"info":"⫏≰21200021⨽⫏≰10012101=⫏≰-20112210012222220","layer":3},{"info":"↩⫏≰-20112210012222220=⫏≰222012011000120121","layer":2},{"info":"⫏≰-200120111⨎⫏≰222012011000120121=⫏≰222012011000120121","layer":1},{"info":"⫏≰22001020⨵⪆⫏≰21211001=⫏≰12221","layer":3},{"info":"⫏≰20120122+⫏≰1201211=⫏≰22022110","layer":3},{"info":"⫏≰12221≭⫏≰22022110=NaN","layer":2},{"info":"⫏≰12012000⊴⫏≰11120010=NaN","layer":3},{"info":"∥⊫⫏≰2120011=⫏≰10202022","layer":3},{"info":"NaN⪮%⊝⫏≰10202022=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"⫏≰222012011000120121⨎NaN=NaN","layer":0}]}
{"id":142,"expression_no_base_symbol":"(⨞⊢($1676$⨸⪁$2035$+$2369$⊭↱$1682$))*(⨰⫟⨤($1312$⩷∴$1792$)↬($1166$⊭↱$6984$))","expression":"(⨞⊢(⫏≰2022002⨸⪁⫏≰2210101+⫏≰10020202⊭↱⫏≰2022022))*(⨰⫟⨤(⫏≰1210121⩷∴⫏≰2110101)↬(⫏≰1121012⊭↱⫏≰100120200))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":55,"operation_count":9,"complexity_ratio":6.111111111111111,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1676,"base":3},"right_expr":{"type":"numeric_atoms","value":2035,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2369,"base":3},"right_expr":{"type":"numeric_atoms","value":1682,"base":3}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1312,"base":3},"right_expr":{"type":"numeric_atoms","value":1792,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1166,"base":3},"right_expr":{"type":"numeric_atoms","value":6984,"base":3}}}}},"used_operators":["9HNa5Wba9A","xUOZtlo3hN","W4YGzv6Whe","g55IO6H4Gj","COABgblf1C","Tw270M8GLb","B5M0gjZbta","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1676","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=2035, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7422","layer":3},{"info":"number node, value=2369","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=2369, right_input=1682, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1369","layer":3},{"info":"compute binary expreesion, left_input=7422, right_input=-1369, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6053","layer":2},{"info":"compute unary expreesion, input=6053, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6227","layer":1},{"info":"number node, value=1312","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=1792, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-992","layer":3},{"info":"number node, value=1166","layer":4},{"info":"number node, value=6984","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=6984, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11641","layer":3},{"info":"compute binary expreesion, left_input=-992, right_input=11641, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-6227, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨞⊢(⫏≰2022002⨸⪁⫏≰2210101+⫏≰10020202⊭↱⫏≰2022022))*(⨰⫟⨤(⫏≰1210121⩷∴⫏≰2110101)↬(⫏≰1121012⊭↱⫏≰100120200))=NaN","reverse_text":"NaN=(⨞⊢(⫏≰2022002⨸⪁⫏≰2210101+⫏≰10020202⊭↱⫏≰2022022))*(⨰⫟⨤(⫏≰1210121⩷∴⫏≰2110101)↬(⫏≰1121012⊭↱⫏≰100120200))","cot":[{"info":"⫏≰2022002⨸⪁⫏≰2210101=⫏≰101011220","layer":3},{"info":"⫏≰10020202⊭↱⫏≰2022022=⫏≰-1212201","layer":3},{"info":"⫏≰101011220+⫏≰-1212201=⫏≰22022012","layer":2},{"info":"⨞⊢⫏≰22022012=⫏≰-22112122","layer":1},{"info":"⫏≰1210121⩷∴⫏≰2110101=⫏≰-1100202","layer":3},{"info":"⫏≰1121012⊭↱⫏≰100120200=⫏≰120222011","layer":3},{"info":"⫏≰-1100202↬⫏≰120222011=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫏≰-22112122*NaN=NaN","layer":0}]}
{"id":143,"expression_no_base_symbol":"(⪲⇎(⫓⪴($6110$⪒$1580$)))⋥≓≎(↩$1009$)↬$1014$⊴$1883$⩚⊴⇥($1575$⨸⪁$3156$)↬($1711$⋝⋈⪟$4890$)","expression":"(⪲⇎(⫓⪴(⫏≰22101022⪒⫏≰2011112)))⋥≓≎(↩⫏≰1101101)↬⫏≰1101120⊴⫏≰2120202⩚⊴⇥(⫏≰2011100⨸⪁⫏≰11022220)↬(⫏≰2100101⋝⋈⪟⫏≰20201010)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9615,"operation_count":11,"complexity_ratio":874.0909090909091,"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":6110,"base":3},"right_expr":{"type":"numeric_atoms","value":1580,"base":3}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1009,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1014,"base":3},"right_expr":{"type":"numeric_atoms","value":1883,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1575,"base":3},"right_expr":{"type":"numeric_atoms","value":3156,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1711,"base":3},"right_expr":{"type":"numeric_atoms","value":4890,"base":3}}}}},"used_operators":["Qy55tPpLXF","XPYlsWDdGa","eLxqMNBOBk","f6k1SAg4EE","NTOWxs364D","B5M0gjZbta","jLgFTUHLKL","Nsiff2A1zJ","g55IO6H4Gj","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6110","layer":4},{"info":"number node, value=1580","layer":4},{"info":"compute binary expreesion, left_input=6110, right_input=1580, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7690","layer":3},{"info":"compute unary expreesion, input=-7690, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=59136100","layer":2},{"info":"compute unary expreesion, input=59136100, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=118272200","layer":1},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5292","layer":3},{"info":"number node, value=1014","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=1883, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5292, 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=1575","layer":4},{"info":"number node, value=3156","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=3156, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9462","layer":3},{"info":"number node, value=1711","layer":4},{"info":"number node, value=4890","layer":4},{"info":"compute binary expreesion, left_input=1711, right_input=4890, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1711","layer":3},{"info":"compute binary expreesion, left_input=9462, right_input=1711, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=118272200, 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":3,"result_base":3,"text":"(⪲⇎(⫓⪴(⫏≰22101022⪒⫏≰2011112)))⋥≓≎(↩⫏≰1101101)↬⫏≰1101120⊴⫏≰2120202⩚⊴⇥(⫏≰2011100⨸⪁⫏≰11022220)↬(⫏≰2100101⋝⋈⪟⫏≰20201010)=NaN","reverse_text":"NaN=(⪲⇎(⫓⪴(⫏≰22101022⪒⫏≰2011112)))⋥≓≎(↩⫏≰1101101)↬⫏≰1101120⊴⫏≰2120202⩚⊴⇥(⫏≰2011100⨸⪁⫏≰11022220)↬(⫏≰2100101⋝⋈⪟⫏≰20201010)","cot":[{"info":"⫏≰22101022⪒⫏≰2011112=⫏≰-101112211","layer":3},{"info":"⫓⪴⫏≰-101112211=⫏≰11010021102110221","layer":2},{"info":"⪲⇎⫏≰11010021102110221=⫏≰22020112211221212","layer":1},{"info":"↩⫏≰1101101=⫏≰-21021000","layer":3},{"info":"⫏≰1101120⊴⫏≰2120202=NaN","layer":3},{"info":"⫏≰-21021000↬NaN=NaN","layer":2},{"info":"⫏≰2011100⨸⪁⫏≰11022220=⫏≰110222110","layer":3},{"info":"⫏≰2100101⋝⋈⪟⫏≰20201010=⫏≰2100101","layer":3},{"info":"⫏≰110222110↬⫏≰2100101=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⫏≰22020112211221212⋥≓≎NaN=NaN","layer":0}]}
{"id":144,"expression_no_base_symbol":"≦∁($1770$↬$3803$+($3534$⪨≂$1833$))⨽($1204$⪒$6953$)⪘⫢($1581$⨽$2494$)","expression":"≦∁(⫏≰2102120↬⫏≰12012212+(⫏≰11211220⪨≂⫏≰2111220))⨽(⫏≰1122121⪒⫏≰100112112)⪘⫢(⫏≰2011120⨽⫏≰10102101)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1620,"operation_count":8,"complexity_ratio":202.5,"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":1770,"base":3},"right_expr":{"type":"numeric_atoms","value":3803,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3534,"base":3},"right_expr":{"type":"numeric_atoms","value":1833,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1204,"base":3},"right_expr":{"type":"numeric_atoms","value":6953,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1581,"base":3},"right_expr":{"type":"numeric_atoms","value":2494,"base":3}}}}},"used_operators":["9ICcGScMcE","8HhzD0ZcuI","W4YGzv6Whe","B5M0gjZbta","sdazOOVcIp","oacrs7FA3X","f6k1SAg4EE"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1770","layer":4},{"info":"number node, value=3803","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=3803, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3534","layer":4},{"info":"number node, value=1833","layer":4},{"info":"compute binary expreesion, left_input=3534, right_input=1833, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3504","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3504, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1204","layer":4},{"info":"number node, value=6953","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=6953, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8157","layer":3},{"info":"number node, value=1581","layer":4},{"info":"number node, value=2494","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=2494, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7504851","layer":3},{"info":"compute binary expreesion, left_input=-8157, right_input=-7504851, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', 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":3,"result_base":3,"text":"≦∁(⫏≰2102120↬⫏≰12012212+(⫏≰11211220⪨≂⫏≰2111220))⨽(⫏≰1122121⪒⫏≰100112112)⪘⫢(⫏≰2011120⨽⫏≰10102101)=NaN","reverse_text":"NaN=≦∁(⫏≰2102120↬⫏≰12012212+(⫏≰11211220⪨≂⫏≰2111220))⨽(⫏≰1122121⪒⫏≰100112112)⪘⫢(⫏≰2011120⨽⫏≰10102101)","cot":[{"info":"⫏≰2102120↬⫏≰12012212=NaN","layer":3},{"info":"⫏≰11211220⪨≂⫏≰2111220=⫏≰11210210","layer":3},{"info":"NaN+⫏≰11210210=NaN","layer":2},{"info":"⫏≰1122121⪒⫏≰100112112=⫏≰-102012010","layer":3},{"info":"⫏≰2011120⨽⫏≰10102101=⫏≰-112010021201110","layer":3},{"info":"⫏≰-102012010⪘⫢⫏≰-112010021201110=⫏≰-1","layer":2},{"info":"NaN⨽⫏≰-1=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":145,"expression_no_base_symbol":"(⩦⩻⨪$2389$)⪢($1241$⪒$1449$)∀⇚≩(⩦⩻⨪(⪝⪂⫅$1872$))⋥≓≎((⫛⫱⨽$5350$)⪒$2202$⋝⋈⪟$5781$)⇷($3768$↬$2759$⊭↱$1569$≹⇙⪍$6056$)","expression":"(⩦⩻⨪⫏≰10021111)⪢(⫏≰1200222⪒⫏≰1222200)∀⇚≩(⩦⩻⨪(⪝⪂⫅⫏≰2120100))⋥≓≎((⫛⫱⨽⫏≰21100011)⪒⫏≰10000120⋝⋈⪟⫏≰21221010)⇷(⫏≰12011120↬⫏≰10210012⊭↱⫏≰2011010≹⇙⪍⫏≰22022022)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38014,"operation_count":14,"complexity_ratio":2715.285714285714,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2389,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1241,"base":3},"right_expr":{"type":"numeric_atoms","value":1449,"base":3}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1872,"base":3}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5350,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2202,"base":3},"right_expr":{"type":"numeric_atoms","value":5781,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3768,"base":3},"right_expr":{"type":"numeric_atoms","value":2759,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1569,"base":3},"right_expr":{"type":"numeric_atoms","value":6056,"base":3}}}}},"used_operators":["Qy55tPpLXF","LRNGc0VcxI","dWAJyo7jo9","2td37pGCOC","f6k1SAg4EE","XTarYq4gQB","mp7IySMOzn","DlLNRPXxWL","2DDjHMKMc0","COABgblf1C","B5M0gjZbta","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2389","layer":4},{"info":"compute unary expreesion, input=2389, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2389","layer":3},{"info":"number node, value=1241","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=1449, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2690","layer":3},{"info":"compute binary expreesion, left_input=2389, right_input=-2690, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1872","layer":4},{"info":"compute unary expreesion, input=1872, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-275184","layer":3},{"info":"compute unary expreesion, input=-275184, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-275184","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-275184, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5350","layer":4},{"info":"compute unary expreesion, input=5350, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2202","layer":4},{"info":"number node, value=5781","layer":4},{"info":"compute binary expreesion, left_input=2202, right_input=5781, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2202","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2202, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2202","layer":2},{"info":"number node, value=3768","layer":4},{"info":"number node, value=2759","layer":4},{"info":"compute binary expreesion, left_input=3768, right_input=2759, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1569","layer":4},{"info":"number node, value=6056","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=6056, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2202, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"(⩦⩻⨪⫏≰10021111)⪢(⫏≰1200222⪒⫏≰1222200)∀⇚≩(⩦⩻⨪(⪝⪂⫅⫏≰2120100))⋥≓≎((⫛⫱⨽⫏≰21100011)⪒⫏≰10000120⋝⋈⪟⫏≰21221010)⇷(⫏≰12011120↬⫏≰10210012⊭↱⫏≰2011010≹⇙⪍⫏≰22022022)=⫏≰2111","reverse_text":"⫏≰2111=(⩦⩻⨪⫏≰10021111)⪢(⫏≰1200222⪒⫏≰1222200)∀⇚≩(⩦⩻⨪(⪝⪂⫅⫏≰2120100))⋥≓≎((⫛⫱⨽⫏≰21100011)⪒⫏≰10000120⋝⋈⪟⫏≰21221010)⇷(⫏≰12011120↬⫏≰10210012⊭↱⫏≰2011010≹⇙⪍⫏≰22022022)","cot":[{"info":"⩦⩻⨪⫏≰10021111=⫏≰10021111","layer":3},{"info":"⫏≰1200222⪒⫏≰1222200=⫏≰-10200122","layer":3},{"info":"⫏≰10021111⪢⫏≰-10200122=NaN","layer":2},{"info":"⪝⪂⫅⫏≰2120100=⫏≰-111222111000","layer":3},{"info":"⩦⩻⨪⫏≰-111222111000=⫏≰-111222111000","layer":2},{"info":"NaN∀⇚≩⫏≰-111222111000=NaN","layer":1},{"info":"⫛⫱⨽⫏≰21100011=⫏≰0","layer":3},{"info":"⫏≰10000120⋝⋈⪟⫏≰21221010=⫏≰10000120","layer":3},{"info":"⫏≰0⪒⫏≰10000120=⫏≰-10000120","layer":2},{"info":"⫏≰12011120↬⫏≰10210012=NaN","layer":3},{"info":"⫏≰2011010≹⇙⪍⫏≰22022022=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"⫏≰-10000120⇷NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫏≰2111","layer":0}]}
{"id":146,"expression_no_base_symbol":"(⫛⫱⨽($5678$∲⫓$4646$))⇷(⋗⩬⋾$6367$⨟⋌⩍$3014$)⊭∹↮","expression":"(⫛⫱⨽(⫏≰21210022∲⫓⫏≰20101002))⇷(⋗⩬⋾⫏≰22201211⨟⋌⩍⫏≰11010122)⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":931,"operation_count":6,"complexity_ratio":155.16666666666666,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5678,"base":3},"right_expr":{"type":"numeric_atoms","value":4646,"base":3}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6367,"base":3},"right_expr":{"type":"numeric_atoms","value":3014,"base":3}}}}},"used_operators":["xNBdhnnwKq","mp7IySMOzn","DlLNRPXxWL","i8ToyICDmI","DpFCA1CohY","rGHVDoGpnC"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=5678","layer":4},{"info":"number node, value=4646","layer":4},{"info":"compute binary expreesion, left_input=5678, right_input=4646, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=6367","layer":4},{"info":"number node, value=3014","layer":4},{"info":"compute binary expreesion, left_input=6367, right_input=3014, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = 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=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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫛⫱⨽(⫏≰21210022∲⫓⫏≰20101002))⇷(⋗⩬⋾⫏≰22201211⨟⋌⩍⫏≰11010122)⊭∹↮=NaN","reverse_text":"NaN=(⫛⫱⨽(⫏≰21210022∲⫓⫏≰20101002))⇷(⋗⩬⋾⫏≰22201211⨟⋌⩍⫏≰11010122)⊭∹↮","cot":[{"info":"⫏≰21210022∲⫓⫏≰20101002=⫏≰0","layer":3},{"info":"⫛⫱⨽⫏≰0=⫏≰0","layer":2},{"info":"⫏≰22201211⨟⋌⩍⫏≰11010122=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⫏≰0⇷NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":147,"expression_no_base_symbol":"↯⪼((($2746$∲⫓$3324$)⋓($1431$⪐))⇷($5911$⪮%⊝$2516$⩤))","expression":"↯⪼(((⫏≰10202201∲⫓⫏≰11120010)⋓(⫏≰1222000⪐))⇷(⫏≰22002221⪮%⊝⫏≰10110012⩤))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":67,"operation_count":7,"complexity_ratio":9.571428571428571,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2746,"base":3},"right_expr":{"type":"numeric_atoms","value":3324,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1431,"base":3}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5911,"base":3},"right_expr":{"type":"numeric_atoms","value":2516,"base":3}}}}},"used_operators":["8jW3W4yZS5","mp7IySMOzn","T2fj7uvVaJ","i8ToyICDmI","eH2TOUuTDT","Z2TMIBDE3Q","IWmyXbctLI"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2746","layer":4},{"info":"number node, value=3324","layer":4},{"info":"compute binary expreesion, left_input=2746, right_input=3324, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1431","layer":4},{"info":"compute unary expreesion, input=1431, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2862","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2862, op_id = T2fj7uvVaJ 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=5911","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=5911, right_input=2516, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12138","layer":3},{"info":"compute unary expreesion, input=12138, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-12138","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-12138, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"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":0}],"base":3,"result_base":3,"text":"↯⪼(((⫏≰10202201∲⫓⫏≰11120010)⋓(⫏≰1222000⪐))⇷(⫏≰22002221⪮%⊝⫏≰10110012⩤))=⫏≰-210","reverse_text":"⫏≰-210=↯⪼(((⫏≰10202201∲⫓⫏≰11120010)⋓(⫏≰1222000⪐))⇷(⫏≰22002221⪮%⊝⫏≰10110012⩤))","cot":[{"info":"⫏≰10202201∲⫓⫏≰11120010=⫏≰0","layer":3},{"info":"⫏≰1222000⪐=⫏≰10221000","layer":3},{"info":"⫏≰0⋓⫏≰10221000=⫏≰0","layer":2},{"info":"⫏≰22002221⪮%⊝⫏≰10110012=⫏≰121122120","layer":3},{"info":"⫏≰121122120⩤=⫏≰-121122120","layer":2},{"info":"⫏≰0⇷⫏≰-121122120=⫏≰0","layer":1},{"info":"↯⪼⫏≰0=⫏≰-210","layer":0}]}
{"id":148,"expression_no_base_symbol":"(($2683$⩤)∀⇚≩(⫛⫱⨽$3632$)⩨($6657$⪒$1867$)⩚⊴⇥($1663$⫡⨏$9448$))⪢(($3588$⨰$7163$)⨟⋌⩍($3682$-$2939$))≹⇙⪍((⨰⫟⨤$4447$)⊴($3978$⨪↰⇹$1457$))","expression":"((⫏≰10200101⩤)∀⇚≩(⫛⫱⨽⫏≰11222112)⩨(⫏≰100010120⪒⫏≰2120011)⩚⊴⇥(⫏≰2021121⫡⨏⫏≰110221221))⪢((⫏≰11220220⨰⫏≰100211022)⨟⋌⩍(⫏≰12001101-⫏≰11000212))≹⇙⪍((⨰⫟⨤⫏≰20002201)⊴(⫏≰12110100⨪↰⇹⫏≰1222222))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":48622,"operation_count":15,"complexity_ratio":3241.4666666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2683,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3632,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6657,"base":3},"right_expr":{"type":"numeric_atoms","value":1867,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1663,"base":3},"right_expr":{"type":"numeric_atoms","value":9448,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3588,"base":3},"right_expr":{"type":"numeric_atoms","value":7163,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3682,"base":3},"right_expr":{"type":"numeric_atoms","value":2939,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4447,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3978,"base":3},"right_expr":{"type":"numeric_atoms","value":1457,"base":3}}}}},"used_operators":["dWAJyo7jo9","2DlMacCsIx","LRNGc0VcxI","Z2TMIBDE3Q","DlLNRPXxWL","NTOWxs364D","f6k1SAg4EE","QMFrweE19q","AHs5Up7iyr","rGHVDoGpnC","eewbuw0ToL","rysDP5nf3Z","Nsiff2A1zJ","Tw270M8GLb","tmPS8pqC7x"],"dependent_operators":["k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2683","layer":4},{"info":"compute unary expreesion, input=2683, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2683","layer":3},{"info":"number node, value=3632","layer":4},{"info":"compute unary expreesion, input=3632, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2683, 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":"number node, value=6657","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=6657, right_input=1867, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8524","layer":3},{"info":"number node, value=1663","layer":4},{"info":"number node, value=9448","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=9448, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27994","layer":3},{"info":"compute binary expreesion, left_input=-8524, right_input=27994, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-19591","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-19591, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=3588","layer":4},{"info":"number node, value=7163","layer":4},{"info":"compute binary expreesion, left_input=3588, right_input=7163, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3565","layer":3},{"info":"number node, value=3682","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=2939, op_id = rysDP5nf3Z binary_op_definition= 'None', output=743","layer":3},{"info":"compute binary expreesion, left_input=-3565, right_input=743, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=4447","layer":4},{"info":"compute unary expreesion, input=4447, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3978","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=3978, right_input=1457, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3978","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3978, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":3,"result_base":3,"text":"((⫏≰10200101⩤)∀⇚≩(⫛⫱⨽⫏≰11222112)⩨(⫏≰100010120⪒⫏≰2120011)⩚⊴⇥(⫏≰2021121⫡⨏⫏≰110221221))⪢((⫏≰11220220⨰⫏≰100211022)⨟⋌⩍(⫏≰12001101-⫏≰11000212))≹⇙⪍((⨰⫟⨤⫏≰20002201)⊴(⫏≰12110100⨪↰⇹⫏≰1222222))=NaN","reverse_text":"NaN=((⫏≰10200101⩤)∀⇚≩(⫛⫱⨽⫏≰11222112)⩨(⫏≰100010120⪒⫏≰2120011)⩚⊴⇥(⫏≰2021121⫡⨏⫏≰110221221))⪢((⫏≰11220220⨰⫏≰100211022)⨟⋌⩍(⫏≰12001101-⫏≰11000212))≹⇙⪍((⨰⫟⨤⫏≰20002201)⊴(⫏≰12110100⨪↰⇹⫏≰1222222))","cot":[{"info":"⫏≰10200101⩤=⫏≰-10200101","layer":3},{"info":"⫛⫱⨽⫏≰11222112=⫏≰0","layer":3},{"info":"⫏≰-10200101∀⇚≩⫏≰0=NaN","layer":2},{"info":"⫏≰100010120⪒⫏≰2120011=⫏≰-102200201","layer":3},{"info":"⫏≰2021121⫡⨏⫏≰110221221=⫏≰1102101211","layer":3},{"info":"⫏≰-102200201⩚⊴⇥⫏≰1102101211=⫏≰-222212121","layer":2},{"info":"NaN⩨⫏≰-222212121=NaN","layer":1},{"info":"⫏≰11220220⨰⫏≰100211022=⫏≰-11220001","layer":3},{"info":"⫏≰12001101-⫏≰11000212=⫏≰1000112","layer":3},{"info":"⫏≰-11220001⨟⋌⩍⫏≰1000112=⫏≰0","layer":2},{"info":"⨰⫟⨤⫏≰20002201=NaN","layer":3},{"info":"⫏≰12110100⨪↰⇹⫏≰1222222=⫏≰12110100","layer":3},{"info":"NaN⊴⫏≰12110100=NaN","layer":2},{"info":"⫏≰0≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":149,"expression_no_base_symbol":"↯⪼((($2352$⪨≂$5363$)∸)⇷(⋗⩬⋾(⨞⊢$1043$)))","expression":"↯⪼(((⫏≰10020010⪨≂⫏≰21100122)∸)⇷(⋗⩬⋾(⨞⊢⫏≰1102122)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2702,"operation_count":6,"complexity_ratio":450.3333333333333,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2352,"base":3},"right_expr":{"type":"numeric_atoms","value":5363,"base":3}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1043,"base":3}}}}},"used_operators":["8jW3W4yZS5","mp7IySMOzn","o20kRiQErp","sdazOOVcIp","DpFCA1CohY","xUOZtlo3hN"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2352","layer":4},{"info":"number node, value=5363","layer":4},{"info":"compute binary expreesion, left_input=2352, right_input=5363, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5920","layer":3},{"info":"compute unary expreesion, input=-5920, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1217","layer":3},{"info":"compute unary expreesion, input=-1217, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=3651","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=3651, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7302","layer":1},{"info":"compute unary expreesion, input=7302, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":3,"result_base":3,"text":"↯⪼(((⫏≰10020010⪨≂⫏≰21100122)∸)⇷(⋗⩬⋾(⨞⊢⫏≰1102122)))=⫏≰-210","reverse_text":"⫏≰-210=↯⪼(((⫏≰10020010⪨≂⫏≰21100122)∸)⇷(⋗⩬⋾(⨞⊢⫏≰1102122)))","cot":[{"info":"⫏≰10020010⪨≂⫏≰21100122=⫏≰-22010021","layer":3},{"info":"⫏≰-22010021∸=⫏≰20120","layer":2},{"info":"⨞⊢⫏≰1102122=⫏≰-1200002","layer":3},{"info":"⋗⩬⋾⫏≰-1200002=⫏≰12000020","layer":2},{"info":"⫏≰20120⇷⫏≰12000020=⫏≰101000110","layer":1},{"info":"↯⪼⫏≰101000110=⫏≰-210","layer":0}]}
{"id":150,"expression_no_base_symbol":"(⩦⩻⨪(⊙↵-($2099$⨽$2241$)))⫡⨏$1407$+⇶⊼$2734$⋳⪒($3024$↙$5482$)∲⫓($1285$⋷$3818$)↙$1061$⨎$1862$","expression":"(⩦⩻⨪(⊙↵-(⫏≰2212202⨽⫏≰10002000)))⫡⨏⫏≰1221010+⇶⊼⫏≰10202021⋳⪒(⫏≰11011000↙⫏≰21112001)∲⫓(⫏≰1202121⋷⫏≰12020102)↙⫏≰1110022⨎⫏≰2112222","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9514,"operation_count":11,"complexity_ratio":864.9090909090909,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2099,"base":3},"right_expr":{"type":"numeric_atoms","value":2241,"base":3}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1407,"base":3},"right_expr":{"type":"numeric_atoms","value":2734,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3024,"base":3},"right_expr":{"type":"numeric_atoms","value":5482,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1285,"base":3},"right_expr":{"type":"numeric_atoms","value":3818,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1061,"base":3},"right_expr":{"type":"numeric_atoms","value":1862,"base":3}}}}},"used_operators":["QMFrweE19q","2td37pGCOC","oWn0xqSxBt","8HhzD0ZcuI","i8ToyICDmI","12rbrZMWeM","TpPTUOHfaN","yyfyN0ffXY","23Mk6UjR3U","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2099","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=2099, right_input=2241, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13222812","layer":3},{"info":"compute unary expreesion, input=-13222812, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=196","layer":1},{"info":"number node, value=1407","layer":4},{"info":"number node, value=2734","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=2734, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3024","layer":4},{"info":"number node, value=5482","layer":4},{"info":"compute binary expreesion, left_input=3024, right_input=5482, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16446","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16446, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1285","layer":4},{"info":"number node, value=3818","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=3818, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6351","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1862, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1862","layer":3},{"info":"compute binary expreesion, left_input=6351, right_input=1862, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5586","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5586, 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=196, 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":3,"result_base":3,"text":"(⩦⩻⨪(⊙↵-(⫏≰2212202⨽⫏≰10002000)))⫡⨏⫏≰1221010+⇶⊼⫏≰10202021⋳⪒(⫏≰11011000↙⫏≰21112001)∲⫓(⫏≰1202121⋷⫏≰12020102)↙⫏≰1110022⨎⫏≰2112222=NaN","reverse_text":"NaN=(⩦⩻⨪(⊙↵-(⫏≰2212202⨽⫏≰10002000)))⫡⨏⫏≰1221010+⇶⊼⫏≰10202021⋳⪒(⫏≰11011000↙⫏≰21112001)∲⫓(⫏≰1202121⋷⫏≰12020102)↙⫏≰1110022⨎⫏≰2112222","cot":[{"info":"⫏≰2212202⨽⫏≰10002000=⫏≰-220212210021210","layer":3},{"info":"⊙↵-⫏≰-220212210021210=⫏≰21021","layer":2},{"info":"⩦⩻⨪⫏≰21021=⫏≰21021","layer":1},{"info":"⫏≰1221010+⇶⊼⫏≰10202021=NaN","layer":3},{"info":"⫏≰11011000↙⫏≰21112001=⫏≰-211120010","layer":3},{"info":"NaN⋳⪒⫏≰-211120010=NaN","layer":2},{"info":"⫏≰1202121⋷⫏≰12020102=⫏≰22201020","layer":3},{"info":"⫏≰1110022⨎⫏≰2112222=⫏≰2112222","layer":3},{"info":"⫏≰22201020↙⫏≰2112222=⫏≰-21122220","layer":2},{"info":"NaN∲⫓⫏≰-21122220=NaN","layer":1},{"info":"⫏≰21021⫡⨏NaN=NaN","layer":0}]}
{"id":151,"expression_no_base_symbol":"($2064$⨽$5817$)⨪↰⇹($2896$⋓$6816$)∑⇟⊟(($7483$≦≮≮)↙($1300$⋷$2905$))-($6377$⊪)⪛($3135$⫥∨⫟$2046$)∼(⊥($6862$⪨≂$2710$))","expression":"(⫏≰2211110⨽⫏≰21222110)⨪↰⇹(⫏≰10222021⋓⫏≰100100110)∑⇟⊟((⫏≰101021011≦≮≮)↙(⫏≰1210011⋷⫏≰10222121))-(⫏≰22202012⊪)⪛(⫏≰11022010⫥∨⫟⫏≰2210210)∼(⊥(⫏≰100102011⪨≂⫏≰10201101))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2296,"operation_count":14,"complexity_ratio":164.0,"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":2064,"base":3},"right_expr":{"type":"numeric_atoms","value":5817,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2896,"base":3},"right_expr":{"type":"numeric_atoms","value":6816,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":7483,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1300,"base":3},"right_expr":{"type":"numeric_atoms","value":2905,"base":3}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6377,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3135,"base":3},"right_expr":{"type":"numeric_atoms","value":2046,"base":3}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6862,"base":3},"right_expr":{"type":"numeric_atoms","value":2710,"base":3}}}}},"used_operators":["rysDP5nf3Z","U7g4x0WXJJ","tmPS8pqC7x","8HhzD0ZcuI","T2fj7uvVaJ","yyfyN0ffXY","D4vGDi5EA2","23Mk6UjR3U","DyGG3AbaNP","uFcxV4UQCh","zVYPLywUTj","KYD54nUTWz","Q3PJZHRvZv","sdazOOVcIp"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2064","layer":4},{"info":"number node, value=5817","layer":4},{"info":"compute binary expreesion, left_input=2064, right_input=5817, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12796425","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=6816","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=6816, op_id = T2fj7uvVaJ 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=-12796425, 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":2},{"info":"number node, value=7483","layer":4},{"info":"compute unary expreesion, input=7483, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-22449","layer":3},{"info":"number node, value=1300","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=1300, right_input=2905, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4510","layer":3},{"info":"compute binary expreesion, left_input=-22449, right_input=4510, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22449","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22449, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=6377","layer":4},{"info":"compute unary expreesion, input=6377, 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=3135","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=3135, right_input=2046, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=6862","layer":4},{"info":"number node, value=2710","layer":4},{"info":"compute binary expreesion, left_input=6862, right_input=2710, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8406","layer":3},{"info":"compute unary expreesion, input=8406, 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 = 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2211110⨽⫏≰21222110)⨪↰⇹(⫏≰10222021⋓⫏≰100100110)∑⇟⊟((⫏≰101021011≦≮≮)↙(⫏≰1210011⋷⫏≰10222121))-(⫏≰22202012⊪)⪛(⫏≰11022010⫥∨⫟⫏≰2210210)∼(⊥(⫏≰100102011⪨≂⫏≰10201101))=NaN","reverse_text":"NaN=(⫏≰2211110⨽⫏≰21222110)⨪↰⇹(⫏≰10222021⋓⫏≰100100110)∑⇟⊟((⫏≰101021011≦≮≮)↙(⫏≰1210011⋷⫏≰10222121))-(⫏≰22202012⊪)⪛(⫏≰11022010⫥∨⫟⫏≰2210210)∼(⊥(⫏≰100102011⪨≂⫏≰10201101))","cot":[{"info":"⫏≰2211110⨽⫏≰21222110=⫏≰-220002010101200","layer":3},{"info":"⫏≰10222021⋓⫏≰100100110=⫏≰0","layer":3},{"info":"⫏≰-220002010101200⨪↰⇹⫏≰0=NaN","layer":2},{"info":"⫏≰101021011≦≮≮=⫏≰-1010210110","layer":3},{"info":"⫏≰1210011⋷⫏≰10222121=⫏≰20012001","layer":3},{"info":"⫏≰-1010210110↙⫏≰20012001=⫏≰-1010210110","layer":2},{"info":"NaN∑⇟⊟⫏≰-1010210110=NaN","layer":1},{"info":"⫏≰22202012⊪=⫏≰0","layer":3},{"info":"⫏≰11022010⫥∨⫟⫏≰2210210=NaN","layer":3},{"info":"⫏≰0⪛NaN=NaN","layer":2},{"info":"⫏≰100102011⪨≂⫏≰10201101=⫏≰102112100","layer":3},{"info":"⊥⫏≰102112100=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":152,"expression_no_base_symbol":"(((⪲⇎$1504$)≦≮≮)↺($2385$⪘⫢$1604$↛⩡⫤))∑⇟⊟(⊥(($2132$⋷$8005$)↺($4402$⪐)))","expression":"(((⪲⇎⫏≰2001201)≦≮≮)↺(⫏≰10021100⪘⫢⫏≰2012102↛⩡⫤))∑⇟⊟(⊥((⫏≰2220222⋷⫏≰101222111)↺(⫏≰20001001⪐)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14103,"operation_count":10,"complexity_ratio":1410.3,"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":1504,"base":3}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2385,"base":3},"right_expr":{"type":"numeric_atoms","value":1604,"base":3}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2132,"base":3},"right_expr":{"type":"numeric_atoms","value":8005,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4402,"base":3}}}}},"used_operators":["U7g4x0WXJJ","7j4O788W3g","D4vGDi5EA2","XPYlsWDdGa","FU0Cs4j7VP","oacrs7FA3X","Q3PJZHRvZv","23Mk6UjR3U","eH2TOUuTDT"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1504","layer":4},{"info":"compute unary expreesion, input=1504, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3008","layer":3},{"info":"compute unary expreesion, input=3008, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9024","layer":2},{"info":"number node, value=2385","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=1604, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4646","layer":3},{"info":"compute unary expreesion, input=4646, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-697635","layer":2},{"info":"compute binary expreesion, left_input=-9024, right_input=-697635, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-697635","layer":1},{"info":"number node, value=2132","layer":4},{"info":"number node, value=8005","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=8005, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13878","layer":3},{"info":"number node, value=4402","layer":4},{"info":"compute unary expreesion, input=4402, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8804","layer":3},{"info":"compute binary expreesion, left_input=13878, right_input=8804, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8804","layer":2},{"info":"compute unary expreesion, input=8804, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-697635, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⪲⇎⫏≰2001201)≦≮≮)↺(⫏≰10021100⪘⫢⫏≰2012102↛⩡⫤))∑⇟⊟(⊥((⫏≰2220222⋷⫏≰101222111)↺(⫏≰20001001⪐)))=NaN","reverse_text":"NaN=(((⪲⇎⫏≰2001201)≦≮≮)↺(⫏≰10021100⪘⫢⫏≰2012102↛⩡⫤))∑⇟⊟(⊥((⫏≰2220222⋷⫏≰101222111)↺(⫏≰20001001⪐)))","cot":[{"info":"⪲⇎⫏≰2001201=⫏≰11010102","layer":3},{"info":"⫏≰11010102≦≮≮=⫏≰-110101020","layer":2},{"info":"⫏≰10021100⪘⫢⫏≰2012102=⫏≰20101002","layer":3},{"info":"⫏≰20101002↛⩡⫤=⫏≰-1022102222100","layer":2},{"info":"⫏≰-110101020↺⫏≰-1022102222100=⫏≰-1022102222100","layer":1},{"info":"⫏≰2220222⋷⫏≰101222111=⫏≰201001000","layer":3},{"info":"⫏≰20001001⪐=⫏≰110002002","layer":3},{"info":"⫏≰201001000↺⫏≰110002002=⫏≰110002002","layer":2},{"info":"⊥⫏≰110002002=NaN","layer":1},{"info":"⫏≰-1022102222100∑⇟⊟NaN=NaN","layer":0}]}
{"id":153,"expression_no_base_symbol":"($1437$⊴$2929$⊉≛↸$8318$⨽$1147$⋷(⨰⫟⨤($7121$+⇶⊼$3600$)))↬(($4097$↙$2868$)∼($5284$≧⫂∧$1831$)↺($2912$∲⫓$1443$/$6025$⪒$4830$))","expression":"(⫏≰1222020⊴⫏≰11000111⊉≛↸⫏≰102102002⨽⫏≰1120111⋷(⨰⫟⨤(⫏≰100202202+⇶⊼⫏≰11221100)))↬((⫏≰12121202↙⫏≰10221020)∼(⫏≰21020201≧⫂∧⫏≰2111211)↺(⫏≰10222212∲⫓⫏≰1222110/⫏≰22021011⪒⫏≰20121220))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14347,"operation_count":14,"complexity_ratio":1024.7857142857142,"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":1437,"base":3},"right_expr":{"type":"numeric_atoms","value":2929,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8318,"base":3},"right_expr":{"type":"numeric_atoms","value":1147,"base":3}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7121,"base":3},"right_expr":{"type":"numeric_atoms","value":3600,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4097,"base":3},"right_expr":{"type":"numeric_atoms","value":2868,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5284,"base":3},"right_expr":{"type":"numeric_atoms","value":1831,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2912,"base":3},"right_expr":{"type":"numeric_atoms","value":1443,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6025,"base":3},"right_expr":{"type":"numeric_atoms","value":4830,"base":3}}}}},"used_operators":["B5M0gjZbta","23Mk6UjR3U","DZ8iAZOCBD","Nsiff2A1zJ","8HhzD0ZcuI","Tw270M8GLb","TpPTUOHfaN","7j4O788W3g","DyGG3AbaNP","yyfyN0ffXY","Ph9nP6C5qx","XhwjNDsVaA","i8ToyICDmI","f6k1SAg4EE"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1437","layer":4},{"info":"number node, value=2929","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=2929, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=8318","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=8318, right_input=1147, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-207569499","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-207569499, 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=7121","layer":4},{"info":"number node, value=3600","layer":4},{"info":"compute binary expreesion, left_input=7121, right_input=3600, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=4097","layer":4},{"info":"number node, value=2868","layer":4},{"info":"compute binary expreesion, left_input=4097, right_input=2868, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8604","layer":3},{"info":"number node, value=5284","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=5284, right_input=1831, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1358","layer":3},{"info":"compute binary expreesion, left_input=-8604, right_input=1358, 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=2912","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=1443, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6025","layer":4},{"info":"number node, value=4830","layer":4},{"info":"compute binary expreesion, left_input=6025, right_input=4830, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10855","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10855, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"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":3,"result_base":3,"text":"(⫏≰1222020⊴⫏≰11000111⊉≛↸⫏≰102102002⨽⫏≰1120111⋷(⨰⫟⨤(⫏≰100202202+⇶⊼⫏≰11221100)))↬((⫏≰12121202↙⫏≰10221020)∼(⫏≰21020201≧⫂∧⫏≰2111211)↺(⫏≰10222212∲⫓⫏≰1222110/⫏≰22021011⪒⫏≰20121220))=NaN","reverse_text":"NaN=(⫏≰1222020⊴⫏≰11000111⊉≛↸⫏≰102102002⨽⫏≰1120111⋷(⨰⫟⨤(⫏≰100202202+⇶⊼⫏≰11221100)))↬((⫏≰12121202↙⫏≰10221020)∼(⫏≰21020201≧⫂∧⫏≰2111211)↺(⫏≰10222212∲⫓⫏≰1222110/⫏≰22021011⪒⫏≰20121220))","cot":[{"info":"⫏≰1222020⊴⫏≰11000111=NaN","layer":3},{"info":"⫏≰102102002⨽⫏≰1120111=⫏≰-112110120121211020","layer":3},{"info":"NaN⊉≛↸⫏≰-112110120121211020=NaN","layer":2},{"info":"⫏≰100202202+⇶⊼⫏≰11221100=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⫏≰12121202↙⫏≰10221020=⫏≰-102210200","layer":3},{"info":"⫏≰21020201≧⫂∧⫏≰2111211=⫏≰1212022","layer":3},{"info":"⫏≰-102210200∼⫏≰1212022=NaN","layer":2},{"info":"⫏≰10222212∲⫓⫏≰1222110=⫏≰0","layer":3},{"info":"⫏≰22021011⪒⫏≰20121220=⫏≰-112220001","layer":3},{"info":"⫏≰0/⫏≰-112220001=⫏≰0","layer":2},{"info":"NaN↺⫏≰0=⫏≰0","layer":1},{"info":"NaN↬⫏≰0=NaN","layer":0}]}
{"id":154,"expression_no_base_symbol":"⊙↵-(($5468$⊭↱$2454$/($4479$⫡⨏$3551$))⩨($1003$⩨$8947$)⩚⊴⇥($5483$⨳⩥⨓$1703$))","expression":"⊙↵-((⫏≰21111112⊭↱⫏≰10100220/(⫏≰20010220⫡⨏⫏≰11212112))⩨(⫏≰1101011⩨⫏≰110021101)⩚⊴⇥(⫏≰21112002⨳⩥⨓⫏≰2100002))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14812,"operation_count":8,"complexity_ratio":1851.5,"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":5468,"base":3},"right_expr":{"type":"numeric_atoms","value":2454,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4479,"base":3},"right_expr":{"type":"numeric_atoms","value":3551,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1003,"base":3},"right_expr":{"type":"numeric_atoms","value":8947,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5483,"base":3},"right_expr":{"type":"numeric_atoms","value":1703,"base":3}}}}},"used_operators":["oWn0xqSxBt","2DlMacCsIx","XhwjNDsVaA","COABgblf1C","QMFrweE19q","NTOWxs364D","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰-1","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5468","layer":4},{"info":"number node, value=2454","layer":4},{"info":"compute binary expreesion, left_input=5468, right_input=2454, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6023","layer":3},{"info":"number node, value=4479","layer":4},{"info":"number node, value=3551","layer":4},{"info":"compute binary expreesion, left_input=4479, right_input=3551, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=30280","layer":3},{"info":"compute binary expreesion, left_input=-6023, right_input=30280, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1003","layer":4},{"info":"number node, value=8947","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=8947, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-24","layer":3},{"info":"number node, value=5483","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=5483, right_input=1703, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3780","layer":3},{"info":"compute binary expreesion, left_input=-24, right_input=-3780, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=3683","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=3683, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=11049","layer":1},{"info":"compute unary expreesion, input=11049, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":3,"result_base":3,"text":"⊙↵-((⫏≰21111112⊭↱⫏≰10100220/(⫏≰20010220⫡⨏⫏≰11212112))⩨(⫏≰1101011⩨⫏≰110021101)⩚⊴⇥(⫏≰21112002⨳⩥⨓⫏≰2100002))=⫏≰-1","reverse_text":"⫏≰-1=⊙↵-((⫏≰21111112⊭↱⫏≰10100220/(⫏≰20010220⫡⨏⫏≰11212112))⩨(⫏≰1101011⩨⫏≰110021101)⩚⊴⇥(⫏≰21112002⨳⩥⨓⫏≰2100002))","cot":[{"info":"⫏≰21111112⊭↱⫏≰10100220=⫏≰-22021002","layer":3},{"info":"⫏≰20010220⫡⨏⫏≰11212112=⫏≰1112112111","layer":3},{"info":"⫏≰-22021002/⫏≰1112112111=⫏≰-1","layer":2},{"info":"⫏≰1101011⩨⫏≰110021101=⫏≰-220","layer":3},{"info":"⫏≰21112002⨳⩥⨓⫏≰2100002=⫏≰-12012000","layer":3},{"info":"⫏≰-220⩚⊴⇥⫏≰-12012000=⫏≰12001102","layer":2},{"info":"⫏≰-1⩨⫏≰12001102=⫏≰120011020","layer":1},{"info":"⊙↵-⫏≰120011020=⫏≰-1","layer":0}]}
{"id":155,"expression_no_base_symbol":"(($5406$⨎$3571$-($1548$⫩⊇))↺(∥⊫($1723$⊠≄⫣)))⨟⋌⩍(($1231$⋥≓≎$5775$)≧⫂∧(∂$4257$)⇋≉)","expression":"((⫏≰21102020⨎⫏≰11220021-(⫏≰2010100⫩⊇))↺(∥⊫(⫏≰2100211⊠≄⫣)))⨟⋌⩍((⫏≰1200121⋥≓≎⫏≰21220220)≧⫂∧(∂⫏≰12211200)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23,"operation_count":11,"complexity_ratio":2.090909090909091,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5406,"base":3},"right_expr":{"type":"numeric_atoms","value":3571,"base":3}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1548,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1723,"base":3}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1231,"base":3},"right_expr":{"type":"numeric_atoms","value":5775,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4257,"base":3}}}}},"used_operators":["rGHVDoGpnC","7j4O788W3g","rysDP5nf3Z","rJVOvQCfKK","BjRHVeLaeN","P8v4zCKN1o","DIvbN7qnHd","XIabStNQrY","Ph9nP6C5qx","Qy55tPpLXF","Uaa54Peajs"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5406","layer":4},{"info":"number node, value=3571","layer":4},{"info":"compute binary expreesion, left_input=5406, right_input=3571, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3571","layer":3},{"info":"number node, value=1548","layer":4},{"info":"compute unary expreesion, input=1548, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1506","layer":3},{"info":"compute binary expreesion, left_input=3571, right_input=-1506, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5077","layer":2},{"info":"number node, value=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = DIvbN7qnHd, unary_op_definition = '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=5077, right_input=868, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=868","layer":1},{"info":"number node, value=1231","layer":4},{"info":"number node, value=5775","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=5775, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10352","layer":3},{"info":"number node, value=4257","layer":4},{"info":"compute unary expreesion, input=4257, 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=10352, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21102020⨎⫏≰11220021-(⫏≰2010100⫩⊇))↺(∥⊫(⫏≰2100211⊠≄⫣)))⨟⋌⩍((⫏≰1200121⋥≓≎⫏≰21220220)≧⫂∧(∂⫏≰12211200)⇋≉)=NaN","reverse_text":"NaN=((⫏≰21102020⨎⫏≰11220021-(⫏≰2010100⫩⊇))↺(∥⊫(⫏≰2100211⊠≄⫣)))⨟⋌⩍((⫏≰1200121⋥≓≎⫏≰21220220)≧⫂∧(∂⫏≰12211200)⇋≉)","cot":[{"info":"⫏≰21102020⨎⫏≰11220021=⫏≰11220021","layer":3},{"info":"⫏≰2010100⫩⊇=⫏≰-2001210","layer":3},{"info":"⫏≰11220021-⫏≰-2001210=⫏≰20222001","layer":2},{"info":"⫏≰2100211⊠≄⫣=⫏≰0","layer":3},{"info":"∥⊫⫏≰0=⫏≰1012011","layer":2},{"info":"⫏≰20222001↺⫏≰1012011=⫏≰1012011","layer":1},{"info":"⫏≰1200121⋥≓≎⫏≰21220220=⫏≰112012102","layer":3},{"info":"∂⫏≰12211200=NaN","layer":3},{"info":"⫏≰112012102≧⫂∧NaN=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⫏≰1012011⨟⋌⩍NaN=NaN","layer":0}]}
{"id":156,"expression_no_base_symbol":"(⨞⊢($1958$+$1704$⨵⪆$1231$⋥≓≎$1847$))%(($3243$⋷$1024$)∀⇚≩$7005$⪮%⊝$6343$)⪛(($5130$↙$5506$)⩷∴$4903$⨪↰⇹$1741$)","expression":"(⨞⊢(⫏≰2200112+⫏≰2100010⨵⪆⫏≰1200121⋥≓≎⫏≰2112102))%((⫏≰11110010⋷⫏≰1101221)∀⇚≩⫏≰100121110⪮%⊝⫏≰22200221)⪛((⫏≰21001000↙⫏≰21112221)⩷∴⫏≰20201121⨪↰⇹⫏≰2101111)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18808,"operation_count":12,"complexity_ratio":1567.3333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1958,"base":3},"right_expr":{"type":"numeric_atoms","value":1704,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1231,"base":3},"right_expr":{"type":"numeric_atoms","value":1847,"base":3}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3243,"base":3},"right_expr":{"type":"numeric_atoms","value":1024,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7005,"base":3},"right_expr":{"type":"numeric_atoms","value":6343,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5130,"base":3},"right_expr":{"type":"numeric_atoms","value":5506,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4903,"base":3},"right_expr":{"type":"numeric_atoms","value":1741,"base":3}}}}},"used_operators":["k8jYdgA6NY","xUOZtlo3hN","2DQ55sFlQl","W4YGzv6Whe","Qy55tPpLXF","uFcxV4UQCh","LRNGc0VcxI","23Mk6UjR3U","IWmyXbctLI","9FxExcQeMw","yyfyN0ffXY","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1958","layer":4},{"info":"number node, value=1704","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=1704, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3662","layer":3},{"info":"number node, value=1231","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=1847, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2496","layer":3},{"info":"compute binary expreesion, left_input=3662, right_input=2496, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-334","layer":1},{"info":"number node, value=3243","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=1024, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1195","layer":3},{"info":"number node, value=7005","layer":4},{"info":"number node, value=6343","layer":4},{"info":"compute binary expreesion, left_input=7005, right_input=6343, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14326","layer":3},{"info":"compute binary expreesion, left_input=-1195, right_input=14326, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5130","layer":4},{"info":"number node, value=5506","layer":4},{"info":"compute binary expreesion, left_input=5130, right_input=5506, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16518","layer":3},{"info":"number node, value=4903","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=4903, right_input=1741, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4903","layer":3},{"info":"compute binary expreesion, left_input=-16518, right_input=4903, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-42874","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-42874, 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=-334, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨞⊢(⫏≰2200112+⫏≰2100010⨵⪆⫏≰1200121⋥≓≎⫏≰2112102))%((⫏≰11110010⋷⫏≰1101221)∀⇚≩⫏≰100121110⪮%⊝⫏≰22200221)⪛((⫏≰21001000↙⫏≰21112221)⩷∴⫏≰20201121⨪↰⇹⫏≰2101111)=NaN","reverse_text":"NaN=(⨞⊢(⫏≰2200112+⫏≰2100010⨵⪆⫏≰1200121⋥≓≎⫏≰2112102))%((⫏≰11110010⋷⫏≰1101221)∀⇚≩⫏≰100121110⪮%⊝⫏≰22200221)⪛((⫏≰21001000↙⫏≰21112221)⩷∴⫏≰20201121⨪↰⇹⫏≰2101111)","cot":[{"info":"⫏≰2200112+⫏≰2100010=⫏≰12000122","layer":3},{"info":"⫏≰1200121⋥≓≎⫏≰2112102=⫏≰10102110","layer":3},{"info":"⫏≰12000122⨵⪆⫏≰10102110=⫏≰12221","layer":2},{"info":"⨞⊢⫏≰12221=⫏≰-110101","layer":1},{"info":"⫏≰11110010⋷⫏≰1101221=⫏≰-1122021","layer":3},{"info":"⫏≰100121110⪮%⊝⫏≰22200221=⫏≰201122121","layer":3},{"info":"⫏≰-1122021∀⇚≩⫏≰201122121=NaN","layer":2},{"info":"⫏≰21001000↙⫏≰21112221=⫏≰-211122210","layer":3},{"info":"⫏≰20201121⨪↰⇹⫏≰2101111=⫏≰20201121","layer":3},{"info":"⫏≰-211122210⩷∴⫏≰20201121=⫏≰-2011210221","layer":2},{"info":"NaN⪛⫏≰-2011210221=NaN","layer":1},{"info":"⫏≰-110101%NaN=NaN","layer":0}]}
{"id":157,"expression_no_base_symbol":"($2481$⩚⊴⇥$6232$≎⊠⪸(-$3206$)⫸⊐($4419$⪨≂$4273$)⨐⩸⫘$2888$⋳⪒$1559$)⋥≓≎(⩦⩻⨪(⨰⫟⨤$1714$))⪮%⊝(($1292$⨵⪆$4953$)⊭↱(↩$2103$))","expression":"(⫏≰10101220⩚⊴⇥⫏≰22112211≎⊠⪸(-⫏≰11101202)⫸⊐(⫏≰20001200⪨≂⫏≰12212021)⨐⩸⫘⫏≰10221222⋳⪒⫏≰2010202)⋥≓≎(⩦⩻⨪(⨰⫟⨤⫏≰2100111))⪮%⊝((⫏≰1202212⨵⪆⫏≰20210110)⊭↱(↩⫏≰2212220))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6087,"operation_count":14,"complexity_ratio":434.7857142857143,"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":2481,"base":3},"right_expr":{"type":"numeric_atoms","value":6232,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3206,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4419,"base":3},"right_expr":{"type":"numeric_atoms","value":4273,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2888,"base":3},"right_expr":{"type":"numeric_atoms","value":1559,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1714,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1292,"base":3},"right_expr":{"type":"numeric_atoms","value":4953,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2103,"base":3}}}}},"used_operators":["Qy55tPpLXF","mqXw5SEYmG","bJkvcejdHO","NTOWxs364D","t8gj7n24qd","fu6greOZ01","sdazOOVcIp","12rbrZMWeM","IWmyXbctLI","2td37pGCOC","Tw270M8GLb","COABgblf1C","2DQ55sFlQl","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2481","layer":4},{"info":"number node, value=6232","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=6232, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8834","layer":3},{"info":"number node, value=3206","layer":4},{"info":"compute unary expreesion, input=3206, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3206","layer":3},{"info":"compute binary expreesion, left_input=-8834, right_input=-3206, 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=4419","layer":4},{"info":"number node, value=4273","layer":4},{"info":"compute binary expreesion, left_input=4419, right_input=4273, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=394","layer":3},{"info":"number node, value=2888","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=1559, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3930","layer":3},{"info":"compute binary expreesion, left_input=394, right_input=3930, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=134","layer":1},{"info":"number node, value=1714","layer":4},{"info":"compute unary expreesion, input=1714, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"number node, value=1292","layer":4},{"info":"number node, value=4953","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=4953, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2103","layer":4},{"info":"compute unary expreesion, input=2103, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-14044","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-14044, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-28403","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-28403, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=134, 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":3,"result_base":3,"text":"(⫏≰10101220⩚⊴⇥⫏≰22112211≎⊠⪸(-⫏≰11101202)⫸⊐(⫏≰20001200⪨≂⫏≰12212021)⨐⩸⫘⫏≰10221222⋳⪒⫏≰2010202)⋥≓≎(⩦⩻⨪(⨰⫟⨤⫏≰2100111))⪮%⊝((⫏≰1202212⨵⪆⫏≰20210110)⊭↱(↩⫏≰2212220))=NaN","reverse_text":"NaN=(⫏≰10101220⩚⊴⇥⫏≰22112211≎⊠⪸(-⫏≰11101202)⫸⊐(⫏≰20001200⪨≂⫏≰12212021)⨐⩸⫘⫏≰10221222⋳⪒⫏≰2010202)⋥≓≎(⩦⩻⨪(⨰⫟⨤⫏≰2100111))⪮%⊝((⫏≰1202212⨵⪆⫏≰20210110)⊭↱(↩⫏≰2212220))","cot":[{"info":"⫏≰10101220⩚⊴⇥⫏≰22112211=⫏≰-110010012","layer":3},{"info":"-⫏≰11101202=⫏≰-11101202","layer":3},{"info":"⫏≰-110010012≎⊠⪸⫏≰-11101202=⫏≰2111","layer":2},{"info":"⫏≰20001200⪨≂⫏≰12212021=⫏≰112121","layer":3},{"info":"⫏≰10221222⋳⪒⫏≰2010202=⫏≰12101120","layer":3},{"info":"⫏≰112121⨐⩸⫘⫏≰12101120=NaN","layer":2},{"info":"⫏≰2111⫸⊐NaN=⫏≰11222","layer":1},{"info":"⨰⫟⨤⫏≰2100111=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⫏≰1202212⨵⪆⫏≰20210110=⫏≰12221","layer":3},{"info":"↩⫏≰2212220=⫏≰-201021011","layer":3},{"info":"⫏≰12221⊭↱⫏≰-201021011=⫏≰-1102221222","layer":2},{"info":"NaN⪮%⊝⫏≰-1102221222=NaN","layer":1},{"info":"⫏≰11222⋥≓≎NaN=NaN","layer":0}]}
{"id":158,"expression_no_base_symbol":"(⪝⪂⫅(($2020$⩨$1008$)⪠⩆⊳))⨪↰⇹((⨵≀≌$1340$)⇷$2423$⪢$4890$+(∥⊫$4412$⪘⫢$4437$))","expression":"(⪝⪂⫅((⫏≰2202211⩨⫏≰1101100)⪠⩆⊳))⨪↰⇹((⨵≀≌⫏≰1211122)⇷⫏≰10022202⪢⫏≰20201010+(∥⊫⫏≰20001102⪘⫢⫏≰20002100))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":61214,"operation_count":10,"complexity_ratio":6121.4,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2020,"base":3},"right_expr":{"type":"numeric_atoms","value":1008,"base":3}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1340,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2423,"base":3},"right_expr":{"type":"numeric_atoms","value":4890,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4412,"base":3},"right_expr":{"type":"numeric_atoms","value":4437,"base":3}}}}},"used_operators":["tmPS8pqC7x","XTarYq4gQB","JLbD19bQDL","2DlMacCsIx","W4YGzv6Whe","mp7IySMOzn","srAu1WTS94","dWAJyo7jo9","P8v4zCKN1o","oacrs7FA3X"],"dependent_operators":["rJVOvQCfKK","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2020","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=1008, 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 unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":1},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4020","layer":3},{"info":"number node, value=2423","layer":4},{"info":"number node, value=4890","layer":4},{"info":"compute binary expreesion, left_input=2423, right_input=4890, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-4020, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=4412","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=4412, right_input=4437, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8700","layer":3},{"info":"compute unary expreesion, input=8700, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=9568","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9568, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":0}],"base":3,"result_base":3,"text":"(⪝⪂⫅((⫏≰2202211⩨⫏≰1101100)⪠⩆⊳))⨪↰⇹((⨵≀≌⫏≰1211122)⇷⫏≰10022202⪢⫏≰20201010+(∥⊫⫏≰20001102⪘⫢⫏≰20002100))=⫏≰0","reverse_text":"⫏≰0=(⪝⪂⫅((⫏≰2202211⩨⫏≰1101100)⪠⩆⊳))⨪↰⇹((⨵≀≌⫏≰1211122)⇷⫏≰10022202⪢⫏≰20201010+(∥⊫⫏≰20001102⪘⫢⫏≰20002100))","cot":[{"info":"⫏≰2202211⩨⫏≰1101100=⫏≰0","layer":3},{"info":"⫏≰0⪠⩆⊳=⫏≰0","layer":2},{"info":"⪝⪂⫅⫏≰0=⫏≰0","layer":1},{"info":"⨵≀≌⫏≰1211122=⫏≰-12111220","layer":3},{"info":"⫏≰10022202⪢⫏≰20201010=NaN","layer":3},{"info":"⫏≰-12111220⇷NaN=NaN","layer":2},{"info":"⫏≰20001102⪘⫢⫏≰20002100=⫏≰102221020","layer":3},{"info":"∥⊫⫏≰102221020=⫏≰111010101","layer":2},{"info":"NaN+⫏≰111010101=NaN","layer":1},{"info":"⫏≰0⨪↰⇹NaN=⫏≰0","layer":0}]}
{"id":159,"expression_no_base_symbol":"(↽≂(⪝⪂⫅$7575$⇷$2684$))⊴(⨑⩽⪐(⇁⨣⪵($1231$⪒$2925$)))","expression":"(↽≂(⪝⪂⫅⫏≰101101120⇷⫏≰10200102))⊴(⨑⩽⪐(⇁⨣⪵(⫏≰1200121⪒⫏≰11000100)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":106227,"operation_count":7,"complexity_ratio":15175.285714285714,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7575,"base":3},"right_expr":{"type":"numeric_atoms","value":2684,"base":3}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1231,"base":3},"right_expr":{"type":"numeric_atoms","value":2925,"base":3}}}}},"used_operators":["Nsiff2A1zJ","u6S6b8DprG","XTarYq4gQB","mp7IySMOzn","AF7qkfDlqP","inkyxCbjAn","f6k1SAg4EE"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7575","layer":4},{"info":"number node, value=2684","layer":4},{"info":"compute binary expreesion, left_input=7575, right_input=2684, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5368","layer":3},{"info":"compute unary expreesion, input=5368, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-789096","layer":2},{"info":"compute unary expreesion, input=-789096, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=1578192","layer":1},{"info":"number node, value=1231","layer":4},{"info":"number node, value=2925","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=2925, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4156","layer":3},{"info":"compute unary expreesion, input=-4156, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬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":"compute binary expreesion, left_input=1578192, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↽≂(⪝⪂⫅⫏≰101101120⇷⫏≰10200102))⊴(⨑⩽⪐(⇁⨣⪵(⫏≰1200121⪒⫏≰11000100)))=NaN","reverse_text":"NaN=(↽≂(⪝⪂⫅⫏≰101101120⇷⫏≰10200102))⊴(⨑⩽⪐(⇁⨣⪵(⫏≰1200121⪒⫏≰11000100)))","cot":[{"info":"⫏≰101101120⇷⫏≰10200102=⫏≰21100211","layer":3},{"info":"⪝⪂⫅⫏≰21100211=⫏≰-1111002102210","layer":2},{"info":"↽≂⫏≰-1111002102210=⫏≰2222011212120","layer":1},{"info":"⫏≰1200121⪒⫏≰11000100=⫏≰-12200221","layer":3},{"info":"⇁⨣⪵⫏≰-12200221=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⫏≰2222011212120⊴NaN=NaN","layer":0}]}
{"id":160,"expression_no_base_symbol":"(($2582$-$2152$)⩨$1572$⋓$3027$)⋓(($3143$⊦⊿)⋳⪒($7400$⫸⊐$6186$))⪒($4763$≎⊠⪸$1226$⊭↱$1456$∀⇚≩$3557$)↬((⨰⫟⨤$4417$)≋⫹)","expression":"((⫏≰10112122-⫏≰2221201)⩨⫏≰2011020⋓⫏≰11011010)⋓((⫏≰11022102⊦⊿)⋳⪒(⫏≰101011002⫸⊐⫏≰22111010))⪒(⫏≰20112102≎⊠⪸⫏≰1200102⊭↱⫏≰1222221∀⇚≩⫏≰11212202)↬((⨰⫟⨤⫏≰20001121)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27371,"operation_count":14,"complexity_ratio":1955.0714285714287,"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":2582,"base":3},"right_expr":{"type":"numeric_atoms","value":2152,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1572,"base":3},"right_expr":{"type":"numeric_atoms","value":3027,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3143,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7400,"base":3},"right_expr":{"type":"numeric_atoms","value":6186,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4763,"base":3},"right_expr":{"type":"numeric_atoms","value":1226,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1456,"base":3},"right_expr":{"type":"numeric_atoms","value":3557,"base":3}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4417,"base":3}}}}},"used_operators":["f6k1SAg4EE","T2fj7uvVaJ","2DlMacCsIx","rysDP5nf3Z","12rbrZMWeM","14qkJME0vr","mqXw5SEYmG","B5M0gjZbta","COABgblf1C","bJkvcejdHO","LRNGc0VcxI","N41Kp7NANJ","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2582","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=2152, op_id = rysDP5nf3Z binary_op_definition= 'None', output=430","layer":3},{"info":"number node, value=1572","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=1572, right_input=3027, op_id = T2fj7uvVaJ 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=430, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=3143","layer":4},{"info":"compute unary expreesion, input=3143, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9508","layer":3},{"info":"number node, value=7400","layer":4},{"info":"number node, value=6186","layer":4},{"info":"compute binary expreesion, left_input=7400, right_input=6186, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24619","layer":3},{"info":"compute binary expreesion, left_input=-9508, right_input=24619, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-43922","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-43922, op_id = T2fj7uvVaJ 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=4763","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=4763, right_input=1226, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1233144","layer":3},{"info":"number node, value=1456","layer":4},{"info":"number node, value=3557","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=3557, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1233144, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=4417","layer":4},{"info":"compute unary expreesion, input=4417, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', 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 binary expreesion, left_input=0, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10112122-⫏≰2221201)⩨⫏≰2011020⋓⫏≰11011010)⋓((⫏≰11022102⊦⊿)⋳⪒(⫏≰101011002⫸⊐⫏≰22111010))⪒(⫏≰20112102≎⊠⪸⫏≰1200102⊭↱⫏≰1222221∀⇚≩⫏≰11212202)↬((⨰⫟⨤⫏≰20001121)≋⫹)=NaN","reverse_text":"NaN=((⫏≰10112122-⫏≰2221201)⩨⫏≰2011020⋓⫏≰11011010)⋓((⫏≰11022102⊦⊿)⋳⪒(⫏≰101011002⫸⊐⫏≰22111010))⪒(⫏≰20112102≎⊠⪸⫏≰1200102⊭↱⫏≰1222221∀⇚≩⫏≰11212202)↬((⨰⫟⨤⫏≰20001121)≋⫹)","cot":[{"info":"⫏≰10112122-⫏≰2221201=⫏≰120221","layer":3},{"info":"⫏≰2011020⋓⫏≰11011010=⫏≰0","layer":3},{"info":"⫏≰120221⩨⫏≰0=⫏≰0","layer":2},{"info":"⫏≰11022102⊦⊿=⫏≰-111001011","layer":3},{"info":"⫏≰101011002⫸⊐⫏≰22111010=⫏≰1020202211","layer":3},{"info":"⫏≰-111001011⋳⪒⫏≰1020202211=⫏≰-2020020202","layer":2},{"info":"⫏≰0⋓⫏≰-2020020202=⫏≰0","layer":1},{"info":"⫏≰20112102≎⊠⪸⫏≰1200102=⫏≰2022122120000","layer":3},{"info":"⫏≰1222221∀⇚≩⫏≰11212202=NaN","layer":3},{"info":"⫏≰2022122120000⊭↱NaN=NaN","layer":2},{"info":"⨰⫟⨤⫏≰20001121=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⫏≰0⪒NaN=NaN","layer":0}]}
{"id":161,"expression_no_base_symbol":"(⊄⩳↩((≦∁$1611$)⋝⋈⪟($4180$↺$3304$)))⋳⪒(⇁⨣⪵(⫓⪴$1174$)≎⊠⪸(⨑⩽⪐$3236$))","expression":"(⊄⩳↩((≦∁⫏≰2012200)⋝⋈⪟(⫏≰12201211↺⫏≰11112101)))⋳⪒(⇁⨣⪵(⫓⪴⫏≰1121111)≎⊠⪸(⨑⩽⪐⫏≰11102212))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1605,"operation_count":9,"complexity_ratio":178.33333333333334,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1611,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4180,"base":3},"right_expr":{"type":"numeric_atoms","value":3304,"base":3}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1174,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3236,"base":3}}}}},"used_operators":["12rbrZMWeM","8w2t5hMYqp","2DDjHMKMc0","9ICcGScMcE","7j4O788W3g","inkyxCbjAn","bJkvcejdHO","eLxqMNBOBk","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫏≰-111122122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1611","layer":4},{"info":"compute unary expreesion, input=1611, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1611","layer":3},{"info":"number node, value=4180","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=4180, right_input=3304, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3304","layer":3},{"info":"compute binary expreesion, left_input=1611, right_input=3304, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1611","layer":2},{"info":"compute unary expreesion, input=1611, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4833","layer":1},{"info":"number node, value=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1378276","layer":3},{"info":"number node, value=3236","layer":4},{"info":"compute unary expreesion, input=3236, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2963","layer":3},{"info":"compute binary expreesion, left_input=1378276, right_input=-2963, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-4833, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-9953","layer":0}],"base":3,"result_base":3,"text":"(⊄⩳↩((≦∁⫏≰2012200)⋝⋈⪟(⫏≰12201211↺⫏≰11112101)))⋳⪒(⇁⨣⪵(⫓⪴⫏≰1121111)≎⊠⪸(⨑⩽⪐⫏≰11102212))=⫏≰-111122122","reverse_text":"⫏≰-111122122=(⊄⩳↩((≦∁⫏≰2012200)⋝⋈⪟(⫏≰12201211↺⫏≰11112101)))⋳⪒(⇁⨣⪵(⫓⪴⫏≰1121111)≎⊠⪸(⨑⩽⪐⫏≰11102212))","cot":[{"info":"≦∁⫏≰2012200=⫏≰2012200","layer":3},{"info":"⫏≰12201211↺⫏≰11112101=⫏≰11112101","layer":3},{"info":"⫏≰2012200⋝⋈⪟⫏≰11112101=⫏≰2012200","layer":2},{"info":"⊄⩳↩⫏≰2012200=⫏≰-20122000","layer":1},{"info":"⫓⪴⫏≰1121111=⫏≰2121000122021","layer":3},{"info":"⨑⩽⪐⫏≰11102212=⫏≰-11001202","layer":3},{"info":"⫏≰2121000122021≎⊠⪸⫏≰-11001202=⫏≰2111","layer":2},{"info":"⇁⨣⪵⫏≰2111=⫏≰0","layer":1},{"info":"⫏≰-20122000⋳⪒⫏≰0=⫏≰-111122122","layer":0}]}
{"id":162,"expression_no_base_symbol":"≦∁($4535$≧⫂∧$3833$-$2092$⩷∴$2599$)⋥≓≎($1189$⨪↰⇹$4082$⫸⊐(≉$1312$))","expression":"≦∁(⫏≰20012222≧⫂∧⫏≰12020222-⫏≰2212111⩷∴⫏≰10120021)⋥≓≎(⫏≰1122001⨪↰⇹⫏≰12121012⫸⊐(≉⫏≰1210121))","highest_n_order":3,"priority_hierarchical_complexity":5,"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":4535,"base":3},"right_expr":{"type":"numeric_atoms","value":3833,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2092,"base":3},"right_expr":{"type":"numeric_atoms","value":2599,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1189,"base":3},"right_expr":{"type":"numeric_atoms","value":4082,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1312,"base":3}}}}},"used_operators":["9ICcGScMcE","Qy55tPpLXF","rysDP5nf3Z","Ph9nP6C5qx","9FxExcQeMw","mqXw5SEYmG","tmPS8pqC7x","e1ybzncUwg"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰111212212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4535","layer":4},{"info":"number node, value=3833","layer":4},{"info":"compute binary expreesion, left_input=4535, right_input=3833, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3360","layer":3},{"info":"number node, value=2092","layer":4},{"info":"number node, value=2599","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=2599, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1046","layer":3},{"info":"compute binary expreesion, left_input=3360, right_input=-1046, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4406","layer":2},{"info":"number node, value=1189","layer":4},{"info":"number node, value=4082","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=4082, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1189","layer":3},{"info":"number node, value=1312","layer":4},{"info":"compute unary expreesion, input=1312, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1843","layer":3},{"info":"compute binary expreesion, left_input=1189, right_input=1843, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7247","layer":2},{"info":"compute binary expreesion, left_input=4406, right_input=7247, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10121","layer":1},{"info":"compute unary expreesion, input=10121, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=10121","layer":0}],"base":3,"result_base":3,"text":"≦∁(⫏≰20012222≧⫂∧⫏≰12020222-⫏≰2212111⩷∴⫏≰10120021)⋥≓≎(⫏≰1122001⨪↰⇹⫏≰12121012⫸⊐(≉⫏≰1210121))=⫏≰111212212","reverse_text":"⫏≰111212212=≦∁(⫏≰20012222≧⫂∧⫏≰12020222-⫏≰2212111⩷∴⫏≰10120021)⋥≓≎(⫏≰1122001⨪↰⇹⫏≰12121012⫸⊐(≉⫏≰1210121))","cot":[{"info":"⫏≰20012222≧⫂∧⫏≰12020222=⫏≰11121110","layer":3},{"info":"⫏≰2212111⩷∴⫏≰10120021=⫏≰-1102202","layer":3},{"info":"⫏≰11121110-⫏≰-1102202=⫏≰20001012","layer":2},{"info":"⫏≰1122001⨪↰⇹⫏≰12121012=⫏≰1122001","layer":3},{"info":"≉⫏≰1210121=⫏≰2112021","layer":3},{"info":"⫏≰1122001⫸⊐⫏≰2112021=⫏≰100221102","layer":2},{"info":"⫏≰20001012⋥≓≎⫏≰100221102=⫏≰111212212","layer":1},{"info":"≦∁⫏≰111212212=⫏≰111212212","layer":0}]}
{"id":163,"expression_no_base_symbol":"↽≂($7624$⨪↰⇹$4941$∑⇟⊟(⇁⨣⪵$2232$)⪒($1213$⫥∨⫟$4205$⫌⩹⨱))","expression":"↽≂(⫏≰101110101⨪↰⇹⫏≰20210000∑⇟⊟(⇁⨣⪵⫏≰10001200)⪒(⫏≰1122221⫥∨⫟⫏≰12202202⫌⩹⨱))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7793,"operation_count":7,"complexity_ratio":1113.2857142857142,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7624,"base":3},"right_expr":{"type":"numeric_atoms","value":4941,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2232,"base":3}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1213,"base":3},"right_expr":{"type":"numeric_atoms","value":4205,"base":3}}}}},"used_operators":["u6S6b8DprG","f6k1SAg4EE","U7g4x0WXJJ","tmPS8pqC7x","inkyxCbjAn","EBcxylXtPf","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=7624","layer":4},{"info":"number node, value=4941","layer":4},{"info":"compute binary expreesion, left_input=7624, right_input=4941, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7624","layer":3},{"info":"number node, value=2232","layer":4},{"info":"compute unary expreesion, input=2232, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7624, 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=1213","layer":4},{"info":"number node, value=4205","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=4205, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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":"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 = 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":3,"result_base":3,"text":"↽≂(⫏≰101110101⨪↰⇹⫏≰20210000∑⇟⊟(⇁⨣⪵⫏≰10001200)⪒(⫏≰1122221⫥∨⫟⫏≰12202202⫌⩹⨱))=NaN","reverse_text":"NaN=↽≂(⫏≰101110101⨪↰⇹⫏≰20210000∑⇟⊟(⇁⨣⪵⫏≰10001200)⪒(⫏≰1122221⫥∨⫟⫏≰12202202⫌⩹⨱))","cot":[{"info":"⫏≰101110101⨪↰⇹⫏≰20210000=⫏≰101110101","layer":3},{"info":"⇁⨣⪵⫏≰10001200=NaN","layer":3},{"info":"⫏≰101110101∑⇟⊟NaN=NaN","layer":2},{"info":"⫏≰1122221⫥∨⫟⫏≰12202202=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":164,"expression_no_base_symbol":"((↔$1745$)⫡⨏$8192$∑⇟⊟$1464$)⨪↰⇹((↣≠⋷$2285$)⋥≓≎($1409$⋷$4701$))⇼⇔∾(($2691$↙$2639$)⋓($1941$⋷$7737$)*($3086$⊘)⨓$4417$∀⇚≩$1359$)","expression":"((↔⫏≰2101122)⫡⨏⫏≰102020102∑⇟⊟⫏≰2000020)⨪↰⇹((↣≠⋷⫏≰10010122)⋥≓≎(⫏≰1221012⋷⫏≰20110010))⇼⇔∾((⫏≰10200200↙⫏≰10121202)⋓(⫏≰2122220⋷⫏≰101121120)*(⫏≰11020022⊘)⨓⫏≰20001121∀⇚≩⫏≰1212100)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":33630,"operation_count":15,"complexity_ratio":2242.0,"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":1745,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8192,"base":3},"right_expr":{"type":"numeric_atoms","value":1464,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2285,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1409,"base":3},"right_expr":{"type":"numeric_atoms","value":4701,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2691,"base":3},"right_expr":{"type":"numeric_atoms","value":2639,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1941,"base":3},"right_expr":{"type":"numeric_atoms","value":7737,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3086,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4417,"base":3},"right_expr":{"type":"numeric_atoms","value":1359,"base":3}}}}},"used_operators":["tifHPKVTfV","tmPS8pqC7x","QMFrweE19q","ruOEQAzv1W","U7g4x0WXJJ","Qy55tPpLXF","Asc51vEJeQ","23Mk6UjR3U","9HNa5Wba9A","T2fj7uvVaJ","yyfyN0ffXY","3ViojmjbAp","gu96TGCTMs","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1745","layer":4},{"info":"compute unary expreesion, input=1745, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1472","layer":3},{"info":"number node, value=8192","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=8192, right_input=1464, 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=-1472, 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=2285","layer":4},{"info":"compute unary expreesion, input=2285, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=4701","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=4701, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7993","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7993, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=2691","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=2639, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7917","layer":3},{"info":"number node, value=1941","layer":4},{"info":"number node, value=7737","layer":4},{"info":"compute binary expreesion, left_input=1941, right_input=7737, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13533","layer":3},{"info":"compute binary expreesion, left_input=-7917, right_input=13533, op_id = T2fj7uvVaJ 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=3086","layer":4},{"info":"compute unary expreesion, input=3086, 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=4417","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=4417, right_input=1359, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', 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 binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↔⫏≰2101122)⫡⨏⫏≰102020102∑⇟⊟⫏≰2000020)⨪↰⇹((↣≠⋷⫏≰10010122)⋥≓≎(⫏≰1221012⋷⫏≰20110010))⇼⇔∾((⫏≰10200200↙⫏≰10121202)⋓(⫏≰2122220⋷⫏≰101121120)*(⫏≰11020022⊘)⨓⫏≰20001121∀⇚≩⫏≰1212100)=NaN","reverse_text":"NaN=((↔⫏≰2101122)⫡⨏⫏≰102020102∑⇟⊟⫏≰2000020)⨪↰⇹((↣≠⋷⫏≰10010122)⋥≓≎(⫏≰1221012⋷⫏≰20110010))⇼⇔∾((⫏≰10200200↙⫏≰10121202)⋓(⫏≰2122220⋷⫏≰101121120)*(⫏≰11020022⊘)⨓⫏≰20001121∀⇚≩⫏≰1212100)","cot":[{"info":"↔⫏≰2101122=⫏≰-2000112","layer":3},{"info":"⫏≰102020102∑⇟⊟⫏≰2000020=NaN","layer":3},{"info":"⫏≰-2000112⫡⨏NaN=NaN","layer":2},{"info":"↣≠⋷⫏≰10010122=NaN","layer":3},{"info":"⫏≰1221012⋷⫏≰20110010=⫏≰101222001","layer":3},{"info":"NaN⋥≓≎⫏≰101222001=⫏≰2111","layer":2},{"info":"NaN⨪↰⇹⫏≰2111=NaN","layer":1},{"info":"⫏≰10200200↙⫏≰10121202=⫏≰-101212020","layer":3},{"info":"⫏≰2122220⋷⫏≰101121120=⫏≰200120020","layer":3},{"info":"⫏≰-101212020⋓⫏≰200120020=⫏≰0","layer":2},{"info":"⫏≰11020022⊘=⫏≰0","layer":3},{"info":"⫏≰20001121∀⇚≩⫏≰1212100=NaN","layer":3},{"info":"⫏≰0⨓NaN=NaN","layer":2},{"info":"⫏≰0*NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":165,"expression_no_base_symbol":"↽≂(($2011$⋳⪒$1347$⫸⊐(⨵≀≌$1418$))⊭∹↮)","expression":"↽≂((⫏≰2202111⋳⪒⫏≰1211220⫸⊐(⨵≀≌⫏≰1221112))⊭∹↮)","highest_n_order":2,"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":2011,"base":3},"right_expr":{"type":"numeric_atoms","value":1347,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1418,"base":3}}}}},"used_operators":["u6S6b8DprG","xNBdhnnwKq","mqXw5SEYmG","12rbrZMWeM","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫏≰212200210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2011","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=1347, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2388","layer":3},{"info":"number node, value=1418","layer":4},{"info":"compute unary expreesion, input=1418, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4254","layer":3},{"info":"compute binary expreesion, left_input=2388, right_input=-4254, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-8637","layer":2},{"info":"compute unary expreesion, input=-8637, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-8637","layer":1},{"info":"compute unary expreesion, input=-8637, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=17274","layer":0}],"base":3,"result_base":3,"text":"↽≂((⫏≰2202111⋳⪒⫏≰1211220⫸⊐(⨵≀≌⫏≰1221112))⊭∹↮)=⫏≰212200210","reverse_text":"⫏≰212200210=↽≂((⫏≰2202111⋳⪒⫏≰1211220⫸⊐(⨵≀≌⫏≰1221112))⊭∹↮)","cot":[{"info":"⫏≰2202111⋳⪒⫏≰1211220=⫏≰10021110","layer":3},{"info":"⨵≀≌⫏≰1221112=⫏≰-12211120","layer":3},{"info":"⫏≰10021110⫸⊐⫏≰-12211120=⫏≰-102211220","layer":2},{"info":"⫏≰-102211220⊭∹↮=⫏≰-102211220","layer":1},{"info":"↽≂⫏≰-102211220=⫏≰212200210","layer":0}]}
{"id":166,"expression_no_base_symbol":"(⨵≀≌$4670$⨳⩥⨓$2872$)∀⇚≩(($1632$⪨≂$3109$)⫸⊐(↽≂$5879$))⫥∨⫟(($6530$⪘⫢$1841$⊠≄⫣)⊉≛↸$1313$⪮%⊝$1031$∑⇟⊟$1519$↬$1214$)","expression":"(⨵≀≌⫏≰20101222⨳⩥⨓⫏≰10221101)∀⇚≩((⫏≰2020110⪨≂⫏≰11021011)⫸⊐(↽≂⫏≰22001202))⫥∨⫟((⫏≰22221212⪘⫢⫏≰2112012⊠≄⫣)⊉≛↸⫏≰1210122⪮%⊝⫏≰1102012∑⇟⊟⫏≰2002021↬⫏≰1122222)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2004,"operation_count":13,"complexity_ratio":154.15384615384616,"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":4670,"base":3},"right_expr":{"type":"numeric_atoms","value":2872,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1632,"base":3},"right_expr":{"type":"numeric_atoms","value":3109,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5879,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6530,"base":3},"right_expr":{"type":"numeric_atoms","value":1841,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1313,"base":3},"right_expr":{"type":"numeric_atoms","value":1031,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1519,"base":3},"right_expr":{"type":"numeric_atoms","value":1214,"base":3}}}}},"used_operators":["KYD54nUTWz","LRNGc0VcxI","srAu1WTS94","nCS4ZIUYfx","mqXw5SEYmG","sdazOOVcIp","u6S6b8DprG","DZ8iAZOCBD","DIvbN7qnHd","oacrs7FA3X","U7g4x0WXJJ","IWmyXbctLI","B5M0gjZbta"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4670","layer":4},{"info":"number node, value=2872","layer":4},{"info":"compute binary expreesion, left_input=4670, right_input=2872, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1798","layer":3},{"info":"compute unary expreesion, input=-1798, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=3232804","layer":2},{"info":"number node, value=1632","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=3109, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2852","layer":3},{"info":"number node, value=5879","layer":4},{"info":"compute unary expreesion, input=5879, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-11758","layer":3},{"info":"compute binary expreesion, left_input=-2852, right_input=-11758, 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=3232804, right_input=968, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6530","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=6530, right_input=1841, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12936","layer":3},{"info":"compute unary expreesion, input=12936, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1313","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=1031, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2942","layer":3},{"info":"number node, value=1519","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=1214, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2942, 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=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":3,"result_base":3,"text":"(⨵≀≌⫏≰20101222⨳⩥⨓⫏≰10221101)∀⇚≩((⫏≰2020110⪨≂⫏≰11021011)⫸⊐(↽≂⫏≰22001202))⫥∨⫟((⫏≰22221212⪘⫢⫏≰2112012⊠≄⫣)⊉≛↸⫏≰1210122⪮%⊝⫏≰1102012∑⇟⊟⫏≰2002021↬⫏≰1122222)=NaN","reverse_text":"NaN=(⨵≀≌⫏≰20101222⨳⩥⨓⫏≰10221101)∀⇚≩((⫏≰2020110⪨≂⫏≰11021011)⫸⊐(↽≂⫏≰22001202))⫥∨⫟((⫏≰22221212⪘⫢⫏≰2112012⊠≄⫣)⊉≛↸⫏≰1210122⪮%⊝⫏≰1102012∑⇟⊟⫏≰2002021↬⫏≰1122222)","cot":[{"info":"⫏≰20101222⨳⩥⨓⫏≰10221101=⫏≰-2110121","layer":3},{"info":"⨵≀≌⫏≰-2110121=⫏≰20002020120111","layer":2},{"info":"⫏≰2020110⪨≂⫏≰11021011=⫏≰-10220122","layer":3},{"info":"↽≂⫏≰22001202=⫏≰-121010111","layer":3},{"info":"⫏≰-10220122⫸⊐⫏≰-121010111=⫏≰1022212","layer":2},{"info":"⫏≰20002020120111∀⇚≩⫏≰1022212=NaN","layer":1},{"info":"⫏≰22221212⪘⫢⫏≰2112012=⫏≰122202010","layer":3},{"info":"⫏≰122202010⊠≄⫣=⫏≰0","layer":2},{"info":"⫏≰1210122⪮%⊝⫏≰1102012=⫏≰11000222","layer":3},{"info":"⫏≰2002021↬⫏≰1122222=NaN","layer":3},{"info":"⫏≰11000222∑⇟⊟NaN=NaN","layer":2},{"info":"⫏≰0⊉≛↸NaN=⫏≰0","layer":1},{"info":"NaN⫥∨⫟⫏≰0=NaN","layer":0}]}
{"id":167,"expression_no_base_symbol":"(($5960$≫≃)⨓($2286$⋷$3309$))⇷(↯⪼(⫛⫱⨽$3982$))≎⊠⪸((($1273$∲⫓$6085$)⊭∹↮)⇋≉)","expression":"((⫏≰22011202≫≃)⨓(⫏≰10010200⋷⫏≰11112120))⇷(↯⪼(⫛⫱⨽⫏≰12110111))≎⊠⪸(((⫏≰1202011∲⫓⫏≰22100101)⊭∹↮)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":66557,"operation_count":10,"complexity_ratio":6655.7,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5960,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2286,"base":3},"right_expr":{"type":"numeric_atoms","value":3309,"base":3}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3982,"base":3}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1273,"base":3},"right_expr":{"type":"numeric_atoms","value":6085,"base":3}}}}},"used_operators":["bJkvcejdHO","mp7IySMOzn","3ViojmjbAp","X99M06cbEe","23Mk6UjR3U","8jW3W4yZS5","DlLNRPXxWL","XIabStNQrY","xNBdhnnwKq","i8ToyICDmI"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰112220220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5960","layer":4},{"info":"compute unary expreesion, input=5960, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13321","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=3309","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=3309, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4332","layer":3},{"info":"compute binary expreesion, left_input=13321, right_input=4332, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4335","layer":2},{"info":"number node, value=3982","layer":4},{"info":"compute unary expreesion, input=3982, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=-4335, right_input=-21, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-42","layer":1},{"info":"number node, value=1273","layer":4},{"info":"number node, value=6085","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=6085, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":1},{"info":"compute binary expreesion, left_input=-42, right_input=-98, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=10878","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22011202≫≃)⨓(⫏≰10010200⋷⫏≰11112120))⇷(↯⪼(⫛⫱⨽⫏≰12110111))≎⊠⪸(((⫏≰1202011∲⫓⫏≰22100101)⊭∹↮)⇋≉)=⫏≰112220220","reverse_text":"⫏≰112220220=((⫏≰22011202≫≃)⨓(⫏≰10010200⋷⫏≰11112120))⇷(↯⪼(⫛⫱⨽⫏≰12110111))≎⊠⪸(((⫏≰1202011∲⫓⫏≰22100101)⊭∹↮)⇋≉)","cot":[{"info":"⫏≰22011202≫≃=⫏≰200021101","layer":3},{"info":"⫏≰10010200⋷⫏≰11112120=⫏≰12221110","layer":3},{"info":"⫏≰200021101⨓⫏≰12221110=⫏≰-12221120","layer":2},{"info":"⫛⫱⨽⫏≰12110111=⫏≰0","layer":3},{"info":"↯⪼⫏≰0=⫏≰-210","layer":2},{"info":"⫏≰-12221120⇷⫏≰-210=⫏≰-1120","layer":1},{"info":"⫏≰1202011∲⫓⫏≰22100101=⫏≰0","layer":3},{"info":"⫏≰0⊭∹↮=⫏≰0","layer":2},{"info":"⫏≰0⇋≉=⫏≰-10122","layer":1},{"info":"⫏≰-1120≎⊠⪸⫏≰-10122=⫏≰112220220","layer":0}]}
{"id":168,"expression_no_base_symbol":"⨰⫟⨤($3077$⋓$4685$↺(↣≠⋷$1842$))⨪↰⇹(↽≂(⊙↵-$3738$))","expression":"⨰⫟⨤(⫏≰11012222⋓⫏≰20102112↺(↣≠⋷⫏≰2112020))⨪↰⇹(↽≂(⊙↵-⫏≰12010110))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3835,"operation_count":7,"complexity_ratio":547.8571428571429,"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":3077,"base":3},"right_expr":{"type":"numeric_atoms","value":4685,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1842,"base":3}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3738,"base":3}}}}},"used_operators":["Tw270M8GLb","tmPS8pqC7x","7j4O788W3g","T2fj7uvVaJ","Asc51vEJeQ","u6S6b8DprG","oWn0xqSxBt"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3077","layer":4},{"info":"number node, value=4685","layer":4},{"info":"compute binary expreesion, left_input=3077, right_input=4685, op_id = T2fj7uvVaJ 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=1842","layer":4},{"info":"compute unary expreesion, input=1842, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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=3738","layer":4},{"info":"compute unary expreesion, input=3738, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=2","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤(⫏≰11012222⋓⫏≰20102112↺(↣≠⋷⫏≰2112020))⨪↰⇹(↽≂(⊙↵-⫏≰12010110))=NaN","reverse_text":"NaN=⨰⫟⨤(⫏≰11012222⋓⫏≰20102112↺(↣≠⋷⫏≰2112020))⨪↰⇹(↽≂(⊙↵-⫏≰12010110))","cot":[{"info":"⫏≰11012222⋓⫏≰20102112=⫏≰0","layer":3},{"info":"↣≠⋷⫏≰2112020=NaN","layer":3},{"info":"⫏≰0↺NaN=NaN","layer":2},{"info":"⊙↵-⫏≰12010110=⫏≰-1","layer":3},{"info":"↽≂⫏≰-1=⫏≰2","layer":2},{"info":"NaN⨪↰⇹⫏≰2=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":169,"expression_no_base_symbol":"⨈⫕(($2275$∧)⨳⩥⨓($2456$⪒$1572$))+⇶⊼($6585$⩷∴$1873$-(∂$3294$))","expression":"⨈⫕((⫏≰10010021∧)⨳⩥⨓(⫏≰10100222⪒⫏≰2011020))+⇶⊼(⫏≰100000220⩷∴⫏≰2120101-(∂⫏≰11112000))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":407,"operation_count":8,"complexity_ratio":50.875,"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":2275,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2456,"base":3},"right_expr":{"type":"numeric_atoms","value":1572,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6585,"base":3},"right_expr":{"type":"numeric_atoms","value":1873,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3294,"base":3}}}}},"used_operators":["megm06wKyl","TpPTUOHfaN","nCS4ZIUYfx","z63VuFQld9","f6k1SAg4EE","rysDP5nf3Z","9FxExcQeMw","Uaa54Peajs"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2275","layer":4},{"info":"compute unary expreesion, input=2275, 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=2456","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=2456, right_input=1572, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4028","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4028, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=6585","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=6585, right_input=1873, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9392","layer":3},{"info":"number node, value=3294","layer":4},{"info":"compute unary expreesion, input=3294, 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=9392, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":3,"result_base":3,"text":"⨈⫕((⫏≰10010021∧)⨳⩥⨓(⫏≰10100222⪒⫏≰2011020))+⇶⊼(⫏≰100000220⩷∴⫏≰2120101-(∂⫏≰11112000))=⫏≰-210","reverse_text":"⫏≰-210=⨈⫕((⫏≰10010021∧)⨳⩥⨓(⫏≰10100222⪒⫏≰2011020))+⇶⊼(⫏≰100000220⩷∴⫏≰2120101-(∂⫏≰11112000))","cot":[{"info":"⫏≰10010021∧=NaN","layer":3},{"info":"⫏≰10100222⪒⫏≰2011020=⫏≰-12112012","layer":3},{"info":"NaN⨳⩥⨓⫏≰-12112012=NaN","layer":2},{"info":"⫏≰100000220⩷∴⫏≰2120101=⫏≰110212212","layer":3},{"info":"∂⫏≰11112000=NaN","layer":3},{"info":"⫏≰110212212-NaN=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⨈⫕NaN=⫏≰-210","layer":0}]}
{"id":170,"expression_no_base_symbol":"((↩(⪝⪂⫅$4551$))+$2110$⊴$5449$⊉≛↸$1090$⩚⊴⇥$6523$)⋳⪒(⇁⨣⪵(≤/$3372$⨟⋌⩍$1555$))","expression":"((↩(⪝⪂⫅⫏≰20020120))+⫏≰2220011⊴⫏≰21110211⊉≛↸⫏≰1111101⩚⊴⇥⫏≰22221121)⋳⪒(⇁⨣⪵(≤/⫏≰11121220⨟⋌⩍⫏≰2010121))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5641,"operation_count":10,"complexity_ratio":564.1,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4551,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2110,"base":3},"right_expr":{"type":"numeric_atoms","value":5449,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1090,"base":3},"right_expr":{"type":"numeric_atoms","value":6523,"base":3}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3372,"base":3},"right_expr":{"type":"numeric_atoms","value":1555,"base":3}}}}},"used_operators":["12rbrZMWeM","W4YGzv6Whe","jLgFTUHLKL","XTarYq4gQB","DZ8iAZOCBD","Nsiff2A1zJ","NTOWxs364D","inkyxCbjAn","eLAdDNolq6","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4551","layer":4},{"info":"compute unary expreesion, input=4551, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-668997","layer":3},{"info":"compute unary expreesion, input=-668997, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=2678608","layer":2},{"info":"number node, value=2110","layer":4},{"info":"number node, value=5449","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=5449, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1090","layer":4},{"info":"number node, value=6523","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=6523, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7734","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7734, 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=2678608, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3372","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=3372, right_input=1555, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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":"compute unary expreesion, input=nan, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↩(⪝⪂⫅⫏≰20020120))+⫏≰2220011⊴⫏≰21110211⊉≛↸⫏≰1111101⩚⊴⇥⫏≰22221121)⋳⪒(⇁⨣⪵(≤/⫏≰11121220⨟⋌⩍⫏≰2010121))=NaN","reverse_text":"NaN=((↩(⪝⪂⫅⫏≰20020120))+⫏≰2220011⊴⫏≰21110211⊉≛↸⫏≰1111101⩚⊴⇥⫏≰22221121)⋳⪒(⇁⨣⪵(≤/⫏≰11121220⨟⋌⩍⫏≰2010121))","cot":[{"info":"⪝⪂⫅⫏≰20020120=⫏≰-1020222200200","layer":3},{"info":"↩⫏≰-1020222200200=⫏≰12001002100201","layer":2},{"info":"⫏≰2220011⊴⫏≰21110211=NaN","layer":3},{"info":"⫏≰1111101⩚⊴⇥⫏≰22221121=⫏≰-101121110","layer":3},{"info":"NaN⊉≛↸⫏≰-101121110=NaN","layer":2},{"info":"⫏≰12001002100201+NaN=NaN","layer":1},{"info":"⫏≰11121220⨟⋌⩍⫏≰2010121=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":171,"expression_no_base_symbol":"(⪝⪂⫅($1065$⨳⩥⨓$2620$)⪛($1631$⨽$5439$))⨎($2527$⊭↱$3313$*$5196$≎⊠⪸$1623$)≭$3450$⋝⋈⪟$1467$⋝⋈⪟($3390$⨵⪆$1706$)","expression":"(⪝⪂⫅(⫏≰1110110⨳⩥⨓⫏≰10121001)⪛(⫏≰2020102⨽⫏≰21110110))⨎(⫏≰10110121⊭↱⫏≰11112201*⫏≰21010110≎⊠⪸⫏≰2020010)≭⫏≰11201210⋝⋈⪟⫏≰2000100⋝⋈⪟(⫏≰11122120⨵⪆⫏≰2100012)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3659,"operation_count":12,"complexity_ratio":304.9166666666667,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1065,"base":3},"right_expr":{"type":"numeric_atoms","value":2620,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1631,"base":3},"right_expr":{"type":"numeric_atoms","value":5439,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2527,"base":3},"right_expr":{"type":"numeric_atoms","value":3313,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5196,"base":3},"right_expr":{"type":"numeric_atoms","value":1623,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3450,"base":3},"right_expr":{"type":"numeric_atoms","value":1467,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3390,"base":3},"right_expr":{"type":"numeric_atoms","value":1706,"base":3}}}}},"used_operators":["rJVOvQCfKK","XTarYq4gQB","uFcxV4UQCh","nCS4ZIUYfx","8HhzD0ZcuI","rxpJgHHUmx","9HNa5Wba9A","COABgblf1C","bJkvcejdHO","2DDjHMKMc0","2DQ55sFlQl"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":4},{"info":"number node, value=2620","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=2620, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1555","layer":3},{"info":"number node, value=1631","layer":4},{"info":"number node, value=5439","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=5439, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7995486","layer":3},{"info":"compute binary expreesion, left_input=1555, right_input=-7995486, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-7993931","layer":2},{"info":"compute unary expreesion, input=-7993931, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=1175107857","layer":1},{"info":"number node, value=2527","layer":4},{"info":"number node, value=3313","layer":4},{"info":"compute binary expreesion, left_input=2527, right_input=3313, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1577","layer":3},{"info":"number node, value=5196","layer":4},{"info":"number node, value=1623","layer":4},{"info":"compute binary expreesion, left_input=5196, right_input=1623, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1345291","layer":3},{"info":"compute binary expreesion, left_input=1577, right_input=1345291, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2121523907","layer":2},{"info":"number node, value=3450","layer":4},{"info":"number node, value=1467","layer":4},{"info":"compute binary expreesion, left_input=3450, right_input=1467, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3450","layer":3},{"info":"number node, value=3390","layer":4},{"info":"number node, value=1706","layer":4},{"info":"compute binary expreesion, left_input=3390, right_input=1706, 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=3450, right_input=160, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3450","layer":2},{"info":"compute binary expreesion, left_input=2121523907, right_input=3450, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1175107857, 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":3,"result_base":3,"text":"(⪝⪂⫅(⫏≰1110110⨳⩥⨓⫏≰10121001)⪛(⫏≰2020102⨽⫏≰21110110))⨎(⫏≰10110121⊭↱⫏≰11112201*⫏≰21010110≎⊠⪸⫏≰2020010)≭⫏≰11201210⋝⋈⪟⫏≰2000100⋝⋈⪟(⫏≰11122120⨵⪆⫏≰2100012)=NaN","reverse_text":"NaN=(⪝⪂⫅(⫏≰1110110⨳⩥⨓⫏≰10121001)⪛(⫏≰2020102⨽⫏≰21110110))⨎(⫏≰10110121⊭↱⫏≰11112201*⫏≰21010110≎⊠⪸⫏≰2020010)≭⫏≰11201210⋝⋈⪟⫏≰2000100⋝⋈⪟(⫏≰11122120⨵⪆⫏≰2100012)","cot":[{"info":"⫏≰1110110⨳⩥⨓⫏≰10121001=⫏≰2010121","layer":3},{"info":"⫏≰2020102⨽⫏≰21110110=⫏≰-120001012202010","layer":3},{"info":"⫏≰2010121⪛⫏≰-120001012202010=⫏≰-120001010121112","layer":2},{"info":"⪝⪂⫅⫏≰-120001010121112=⫏≰10000220011122221020","layer":1},{"info":"⫏≰10110121⊭↱⫏≰11112201=⫏≰2011102","layer":3},{"info":"⫏≰21010110≎⊠⪸⫏≰2020010=⫏≰2112100101121","layer":3},{"info":"⫏≰2011102*⫏≰2112100101121=⫏≰12110212000120200112","layer":2},{"info":"⫏≰11201210⋝⋈⪟⫏≰2000100=⫏≰11201210","layer":3},{"info":"⫏≰11122120⨵⪆⫏≰2100012=⫏≰12221","layer":3},{"info":"⫏≰11201210⋝⋈⪟⫏≰12221=⫏≰11201210","layer":2},{"info":"⫏≰12110212000120200112≭⫏≰11201210=NaN","layer":1},{"info":"⫏≰10000220011122221020⨎NaN=NaN","layer":0}]}
{"id":172,"expression_no_base_symbol":"($1468$∧)⩚⊴⇥($4637$⫸⊐$1785$)≎⊠⪸($6871$⨰$4357$+⇶⊼$1051$∀⇚≩$1574$)⪒((↣≠⋷$3328$)∲⫓(-$1355$))⪘⫢(($6743$⋫)⨓($7512$⋥≓≎$4032$))","expression":"(⫏≰2000101∧)⩚⊴⇥(⫏≰20100202⫸⊐⫏≰2110010)≎⊠⪸(⫏≰100102111⨰⫏≰12222101+⇶⊼⫏≰1102221∀⇚≩⫏≰2011022)⪒((↣≠⋷⫏≰11120021)∲⫓(-⫏≰1212012))⪘⫢((⫏≰100020202⋫)⨓(⫏≰101022020⋥≓≎⫏≰12112100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14763,"operation_count":15,"complexity_ratio":984.2,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1468,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4637,"base":3},"right_expr":{"type":"numeric_atoms","value":1785,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6871,"base":3},"right_expr":{"type":"numeric_atoms","value":4357,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1051,"base":3},"right_expr":{"type":"numeric_atoms","value":1574,"base":3}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3328,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1355,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":6743,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7512,"base":3},"right_expr":{"type":"numeric_atoms","value":4032,"base":3}}}}},"used_operators":["f6k1SAg4EE","bJkvcejdHO","NTOWxs364D","z63VuFQld9","mqXw5SEYmG","TpPTUOHfaN","eewbuw0ToL","LRNGc0VcxI","oacrs7FA3X","i8ToyICDmI","Asc51vEJeQ","t8gj7n24qd","3ViojmjbAp","JL8yIekQnl","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1468","layer":4},{"info":"compute unary expreesion, input=1468, 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=4637","layer":4},{"info":"number node, value=1785","layer":4},{"info":"compute binary expreesion, left_input=4637, right_input=1785, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7015","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7015, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=6871","layer":4},{"info":"number node, value=4357","layer":4},{"info":"compute binary expreesion, left_input=6871, right_input=4357, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2524","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1574, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2524, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=3328","layer":4},{"info":"compute unary expreesion, input=3328, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1355","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1355, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=6743","layer":4},{"info":"compute unary expreesion, input=6743, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6743","layer":3},{"info":"number node, value=7512","layer":4},{"info":"number node, value=4032","layer":4},{"info":"compute binary expreesion, left_input=7512, right_input=4032, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=585","layer":3},{"info":"compute binary expreesion, left_input=6743, right_input=585, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-588","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-588, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2000101∧)⩚⊴⇥(⫏≰20100202⫸⊐⫏≰2110010)≎⊠⪸(⫏≰100102111⨰⫏≰12222101+⇶⊼⫏≰1102221∀⇚≩⫏≰2011022)⪒((↣≠⋷⫏≰11120021)∲⫓(-⫏≰1212012))⪘⫢((⫏≰100020202⋫)⨓(⫏≰101022020⋥≓≎⫏≰12112100))=NaN","reverse_text":"NaN=(⫏≰2000101∧)⩚⊴⇥(⫏≰20100202⫸⊐⫏≰2110010)≎⊠⪸(⫏≰100102111⨰⫏≰12222101+⇶⊼⫏≰1102221∀⇚≩⫏≰2011022)⪒((↣≠⋷⫏≰11120021)∲⫓(-⫏≰1212012))⪘⫢((⫏≰100020202⋫)⨓(⫏≰101022020⋥≓≎⫏≰12112100))","cot":[{"info":"⫏≰2000101∧=NaN","layer":3},{"info":"⫏≰20100202⫸⊐⫏≰2110010=⫏≰100121211","layer":3},{"info":"NaN⩚⊴⇥⫏≰100121211=NaN","layer":2},{"info":"⫏≰100102111⨰⫏≰12222101=⫏≰10110111","layer":3},{"info":"⫏≰1102221∀⇚≩⫏≰2011022=NaN","layer":3},{"info":"⫏≰10110111+⇶⊼NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"↣≠⋷⫏≰11120021=NaN","layer":3},{"info":"-⫏≰1212012=⫏≰-1212012","layer":3},{"info":"NaN∲⫓⫏≰-1212012=NaN","layer":2},{"info":"⫏≰100020202⋫=⫏≰100020202","layer":3},{"info":"⫏≰101022020⋥≓≎⫏≰12112100=⫏≰210200","layer":3},{"info":"⫏≰100020202⨓⫏≰210200=⫏≰-210210","layer":2},{"info":"NaN⪘⫢⫏≰-210210=NaN","layer":1},{"info":"⫏≰2111⪒NaN=NaN","layer":0}]}
{"id":173,"expression_no_base_symbol":"($2749$⇷$5035$⇼⇔∾($6750$/$2884$)⊭↱($2899$⫌⩹⨱)⪮%⊝($1160$⊉≛↸$1376$))⨰((≤/$3803$)⨽$2548$⋓$3188$⊭↱($1630$⇷$7566$⪨≂(⊙↵-$1888$)))","expression":"(⫏≰10202211⇷⫏≰20220111⇼⇔∾(⫏≰100021000/⫏≰10221211)⊭↱(⫏≰10222101⫌⩹⨱)⪮%⊝(⫏≰1120222⊉≛↸⫏≰1212222))⨰((≤/⫏≰12012212)⨽⫏≰10111101⋓⫏≰11101002⊭↱(⫏≰2020101⇷⫏≰101101020⪨≂(⊙↵-⫏≰2120221)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":66639,"operation_count":15,"complexity_ratio":4442.6,"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":2749,"base":3},"right_expr":{"type":"numeric_atoms","value":5035,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6750,"base":3},"right_expr":{"type":"numeric_atoms","value":2884,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2899,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1160,"base":3},"right_expr":{"type":"numeric_atoms","value":1376,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3803,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2548,"base":3},"right_expr":{"type":"numeric_atoms","value":3188,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1630,"base":3},"right_expr":{"type":"numeric_atoms","value":7566,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1888,"base":3}}}}},"used_operators":["eewbuw0ToL","COABgblf1C","tifHPKVTfV","mp7IySMOzn","XhwjNDsVaA","IWmyXbctLI","EBcxylXtPf","DZ8iAZOCBD","8HhzD0ZcuI","eLAdDNolq6","T2fj7uvVaJ","sdazOOVcIp","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫏≰-11121101101101222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2749","layer":4},{"info":"number node, value=5035","layer":4},{"info":"compute binary expreesion, left_input=2749, right_input=5035, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10070","layer":3},{"info":"number node, value=6750","layer":4},{"info":"number node, value=2884","layer":4},{"info":"compute binary expreesion, left_input=6750, right_input=2884, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=10070, right_input=2, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-10068","layer":2},{"info":"number node, value=2899","layer":4},{"info":"compute unary expreesion, input=2899, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7199","layer":3},{"info":"number node, value=1160","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=1376, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2320","layer":3},{"info":"compute binary expreesion, left_input=7199, right_input=2320, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14714","layer":2},{"info":"compute binary expreesion, left_input=-10068, right_input=14714, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=49569","layer":1},{"info":"number node, value=3803","layer":4},{"info":"compute unary expreesion, input=3803, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3319","layer":3},{"info":"number node, value=2548","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=2548, right_input=3188, op_id = T2fj7uvVaJ 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=-3319, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-33045969","layer":2},{"info":"number node, value=1630","layer":4},{"info":"number node, value=7566","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=7566, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=15132","layer":3},{"info":"number node, value=1888","layer":4},{"info":"compute unary expreesion, input=1888, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=15132, right_input=-1, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=30368","layer":2},{"info":"compute binary expreesion, left_input=-33045969, right_input=30368, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=66152679","layer":1},{"info":"compute binary expreesion, left_input=49569, right_input=66152679, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-66103100","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10202211⇷⫏≰20220111⇼⇔∾(⫏≰100021000/⫏≰10221211)⊭↱(⫏≰10222101⫌⩹⨱)⪮%⊝(⫏≰1120222⊉≛↸⫏≰1212222))⨰((≤/⫏≰12012212)⨽⫏≰10111101⋓⫏≰11101002⊭↱(⫏≰2020101⇷⫏≰101101020⪨≂(⊙↵-⫏≰2120221)))=⫏≰-11121101101101222","reverse_text":"⫏≰-11121101101101222=(⫏≰10202211⇷⫏≰20220111⇼⇔∾(⫏≰100021000/⫏≰10221211)⊭↱(⫏≰10222101⫌⩹⨱)⪮%⊝(⫏≰1120222⊉≛↸⫏≰1212222))⨰((≤/⫏≰12012212)⨽⫏≰10111101⋓⫏≰11101002⊭↱(⫏≰2020101⇷⫏≰101101020⪨≂(⊙↵-⫏≰2120221)))","cot":[{"info":"⫏≰10202211⇷⫏≰20220111=⫏≰111210222","layer":3},{"info":"⫏≰100021000/⫏≰10221211=⫏≰2","layer":3},{"info":"⫏≰111210222⇼⇔∾⫏≰2=⫏≰-111210220","layer":2},{"info":"⫏≰10222101⫌⩹⨱=⫏≰100212122","layer":3},{"info":"⫏≰1120222⊉≛↸⫏≰1212222=⫏≰10011221","layer":3},{"info":"⫏≰100212122⪮%⊝⫏≰10011221=⫏≰202011222","layer":2},{"info":"⫏≰-111210220⊭↱⫏≰202011222=⫏≰2111222220","layer":1},{"info":"≤/⫏≰12012212=⫏≰-11112221","layer":3},{"info":"⫏≰10111101⋓⫏≰11101002=⫏≰0","layer":3},{"info":"⫏≰-11112221⨽⫏≰0=⫏≰-2022011220112210","layer":2},{"info":"⫏≰2020101⇷⫏≰101101020=⫏≰202202110","layer":3},{"info":"⊙↵-⫏≰2120221=⫏≰-1","layer":3},{"info":"⫏≰202202110⪨≂⫏≰-1=⫏≰1112122202","layer":2},{"info":"⫏≰-2022011220112210⊭↱⫏≰1112122202=⫏≰11121110220102020","layer":1},{"info":"⫏≰2111222220⨰⫏≰11121110220102020=⫏≰-11121101101101222","layer":0}]}
{"id":174,"expression_no_base_symbol":"⊥((⪲⇎($4065$⊭↱$3303$))⨽($1730$≭$6961$⨳⩥⨓$6464$⪮%⊝$4890$))","expression":"⊥((⪲⇎(⫏≰12120120⊭↱⫏≰11112100))⨽(⫏≰2101002≭⫏≰100112211⨳⩥⨓⫏≰22212102⪮%⊝⫏≰20201010))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3069,"operation_count":7,"complexity_ratio":438.42857142857144,"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":4065,"base":3},"right_expr":{"type":"numeric_atoms","value":3303,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1730,"base":3},"right_expr":{"type":"numeric_atoms","value":6961,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6464,"base":3},"right_expr":{"type":"numeric_atoms","value":4890,"base":3}}}}},"used_operators":["Q3PJZHRvZv","8HhzD0ZcuI","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","rxpJgHHUmx","IWmyXbctLI"],"dependent_operators":["fu6greOZ01","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4065","layer":4},{"info":"number node, value=3303","layer":4},{"info":"compute binary expreesion, left_input=4065, right_input=3303, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1519","layer":3},{"info":"compute unary expreesion, input=-1519, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-3038","layer":2},{"info":"number node, value=1730","layer":4},{"info":"number node, value=6961","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=6961, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=6464","layer":4},{"info":"number node, value=4890","layer":4},{"info":"compute binary expreesion, left_input=6464, right_input=4890, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13244, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3038, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊥((⪲⇎(⫏≰12120120⊭↱⫏≰11112100))⨽(⫏≰2101002≭⫏≰100112211⨳⩥⨓⫏≰22212102⪮%⊝⫏≰20201010))=NaN","reverse_text":"NaN=⊥((⪲⇎(⫏≰12120120⊭↱⫏≰11112100))⨽(⫏≰2101002≭⫏≰100112211⨳⩥⨓⫏≰22212102⪮%⊝⫏≰20201010))","cot":[{"info":"⫏≰12120120⊭↱⫏≰11112100=⫏≰-2002021","layer":3},{"info":"⪲⇎⫏≰-2002021=⫏≰-11011112","layer":2},{"info":"⫏≰2101002≭⫏≰100112211=NaN","layer":3},{"info":"⫏≰22212102⪮%⊝⫏≰20201010=⫏≰200011112","layer":3},{"info":"NaN⨳⩥⨓⫏≰200011112=NaN","layer":2},{"info":"⫏≰-11011112⨽NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":175,"expression_no_base_symbol":"⨰⫟⨤(($1209$+$3808$)≎⊠⪸$1951$⨓$6948$≎⊠⪸(($1622$⫡⨏$1201$)⊪))","expression":"⨰⫟⨤((⫏≰1122210+⫏≰12020001)≎⊠⪸⫏≰2200021⨓⫏≰100112100≎⊠⪸((⫏≰2020002⫡⨏⫏≰1122111)⊪))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":73764,"operation_count":7,"complexity_ratio":10537.714285714286,"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":1209,"base":3},"right_expr":{"type":"numeric_atoms","value":3808,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1951,"base":3},"right_expr":{"type":"numeric_atoms","value":6948,"base":3}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1622,"base":3},"right_expr":{"type":"numeric_atoms","value":1201,"base":3}}}}},"used_operators":["Tw270M8GLb","bJkvcejdHO","W4YGzv6Whe","3ViojmjbAp","zVYPLywUTj","QMFrweE19q"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"number node, value=3808","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=3808, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5017","layer":3},{"info":"number node, value=1951","layer":4},{"info":"number node, value=6948","layer":4},{"info":"compute binary expreesion, left_input=1951, right_input=6948, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6951","layer":3},{"info":"compute binary expreesion, left_input=5017, right_input=-6951, 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=1622","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=1201, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11295","layer":3},{"info":"compute unary expreesion, input=11295, 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=67, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=16880","layer":1},{"info":"compute unary expreesion, input=16880, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤((⫏≰1122210+⫏≰12020001)≎⊠⪸⫏≰2200021⨓⫏≰100112100≎⊠⪸((⫏≰2020002⫡⨏⫏≰1122111)⊪))=NaN","reverse_text":"NaN=⨰⫟⨤((⫏≰1122210+⫏≰12020001)≎⊠⪸⫏≰2200021⨓⫏≰100112100≎⊠⪸((⫏≰2020002⫡⨏⫏≰1122111)⊪))","cot":[{"info":"⫏≰1122210+⫏≰12020001=⫏≰20212211","layer":3},{"info":"⫏≰2200021⨓⫏≰100112100=⫏≰-100112110","layer":3},{"info":"⫏≰20212211≎⊠⪸⫏≰-100112110=⫏≰2111","layer":2},{"info":"⫏≰2020002⫡⨏⫏≰1122111=⫏≰120111100","layer":3},{"info":"⫏≰120111100⊪=⫏≰0","layer":2},{"info":"⫏≰2111≎⊠⪸⫏≰0=⫏≰212011012","layer":1},{"info":"⨰⫟⨤⫏≰212011012=NaN","layer":0}]}
{"id":176,"expression_no_base_symbol":"(⪲⇎(($3688$⩤)⪨≂($1166$⨵⪆$7526$)))∑⇟⊟(($2464$≫≃)⨽$4256$⇷$3259$⪨≂$4765$+⇶⊼$3101$≎⊠⪸($4556$⨸⪁$2651$))","expression":"(⪲⇎((⫏≰12001121⩤)⪨≂(⫏≰1121012⨵⪆⫏≰101022202)))∑⇟⊟((⫏≰10101021≫≃)⨽⫏≰12211122⇷⫏≰11110201⪨≂⫏≰20112111+⇶⊼⫏≰11020212≎⊠⪸(⫏≰20020202⨸⪁⫏≰10122012))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":65966,"operation_count":12,"complexity_ratio":5497.166666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3688,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1166,"base":3},"right_expr":{"type":"numeric_atoms","value":7526,"base":3}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2464,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4256,"base":3},"right_expr":{"type":"numeric_atoms","value":3259,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4765,"base":3},"right_expr":{"type":"numeric_atoms","value":3101,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4556,"base":3},"right_expr":{"type":"numeric_atoms","value":2651,"base":3}}}}},"used_operators":["U7g4x0WXJJ","XPYlsWDdGa","sdazOOVcIp","Z2TMIBDE3Q","2DQ55sFlQl","8HhzD0ZcuI","X99M06cbEe","mp7IySMOzn","bJkvcejdHO","TpPTUOHfaN","g55IO6H4Gj"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3688","layer":4},{"info":"compute unary expreesion, input=3688, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3688","layer":3},{"info":"number node, value=1166","layer":4},{"info":"number node, value=7526","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=7526, 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=-3688, right_input=160, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7594","layer":2},{"info":"compute unary expreesion, input=-7594, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-15188","layer":1},{"info":"number node, value=2464","layer":4},{"info":"compute unary expreesion, input=2464, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6329","layer":3},{"info":"number node, value=4256","layer":4},{"info":"number node, value=3259","layer":4},{"info":"compute binary expreesion, left_input=4256, right_input=3259, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6518","layer":3},{"info":"compute binary expreesion, left_input=6329, right_input=6518, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-120186963","layer":2},{"info":"number node, value=4765","layer":4},{"info":"number node, value=3101","layer":4},{"info":"compute binary expreesion, left_input=4765, right_input=3101, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4556","layer":4},{"info":"number node, value=2651","layer":4},{"info":"compute binary expreesion, left_input=4556, right_input=2651, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14414","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14414, 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=-120186963, 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=-15188, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⪲⇎((⫏≰12001121⩤)⪨≂(⫏≰1121012⨵⪆⫏≰101022202)))∑⇟⊟((⫏≰10101021≫≃)⨽⫏≰12211122⇷⫏≰11110201⪨≂⫏≰20112111+⇶⊼⫏≰11020212≎⊠⪸(⫏≰20020202⨸⪁⫏≰10122012))=NaN","reverse_text":"NaN=(⪲⇎((⫏≰12001121⩤)⪨≂(⫏≰1121012⨵⪆⫏≰101022202)))∑⇟⊟((⫏≰10101021≫≃)⨽⫏≰12211122⇷⫏≰11110201⪨≂⫏≰20112111+⇶⊼⫏≰11020212≎⊠⪸(⫏≰20020202⨸⪁⫏≰10122012))","cot":[{"info":"⫏≰12001121⩤=⫏≰-12001121","layer":3},{"info":"⫏≰1121012⨵⪆⫏≰101022202=⫏≰12221","layer":3},{"info":"⫏≰-12001121⪨≂⫏≰12221=⫏≰-101102021","layer":2},{"info":"⪲⇎⫏≰-101102021=⫏≰-202211112","layer":1},{"info":"⫏≰10101021≫≃=⫏≰22200102","layer":3},{"info":"⫏≰12211122⇷⫏≰11110201=⫏≰22221102","layer":3},{"info":"⫏≰22200102⨽⫏≰22221102=⫏≰-22101011010112000","layer":2},{"info":"⫏≰20112111+⇶⊼⫏≰11020212=NaN","layer":3},{"info":"⫏≰20020202⨸⪁⫏≰10122012=⫏≰201202212","layer":3},{"info":"NaN≎⊠⪸⫏≰201202212=NaN","layer":2},{"info":"⫏≰-22101011010112000⪨≂NaN=NaN","layer":1},{"info":"⫏≰-202211112∑⇟⊟NaN=NaN","layer":0}]}
{"id":177,"expression_no_base_symbol":"(((⩦⩻⨪$6920$)⋷$1140$⨓$3946$)⫌⩹⨱)≹⇙⪍(⫓⪴((⨑⩽⪐$2393$)⨸⪁$3575$⪘⫢$6002$))","expression":"(((⩦⩻⨪⫏≰100111022)⋷⫏≰1120020⨓⫏≰12102011)⫌⩹⨱)≹⇙⪍(⫓⪴((⨑⩽⪐⫏≰10021122)⨸⪁⫏≰11220102⪘⫢⫏≰22020022))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13800,"operation_count":9,"complexity_ratio":1533.3333333333333,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6920,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1140,"base":3},"right_expr":{"type":"numeric_atoms","value":3946,"base":3}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2393,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3575,"base":3},"right_expr":{"type":"numeric_atoms","value":6002,"base":3}}}}},"used_operators":["AHs5Up7iyr","EBcxylXtPf","23Mk6UjR3U","2td37pGCOC","3ViojmjbAp","eLxqMNBOBk","g55IO6H4Gj","AF7qkfDlqP","oacrs7FA3X"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6920","layer":4},{"info":"compute unary expreesion, input=6920, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6920","layer":3},{"info":"number node, value=1140","layer":4},{"info":"number node, value=3946","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=3946, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3949","layer":3},{"info":"compute binary expreesion, left_input=6920, right_input=-3949, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-14818","layer":2},{"info":"compute unary expreesion, input=-14818, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-28235","layer":1},{"info":"number node, value=2393","layer":4},{"info":"compute unary expreesion, input=2393, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2120","layer":3},{"info":"number node, value=3575","layer":4},{"info":"number node, value=6002","layer":4},{"info":"compute binary expreesion, left_input=3575, right_input=6002, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7026","layer":3},{"info":"compute binary expreesion, left_input=-2120, right_input=7026, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9812","layer":2},{"info":"compute unary expreesion, input=9812, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=96275344","layer":1},{"info":"compute binary expreesion, left_input=-28235, right_input=96275344, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"(((⩦⩻⨪⫏≰100111022)⋷⫏≰1120020⨓⫏≰12102011)⫌⩹⨱)≹⇙⪍(⫓⪴((⨑⩽⪐⫏≰10021122)⨸⪁⫏≰11220102⪘⫢⫏≰22020022))=NaN","reverse_text":"NaN=(((⩦⩻⨪⫏≰100111022)⋷⫏≰1120020⨓⫏≰12102011)⫌⩹⨱)≹⇙⪍(⫓⪴((⨑⩽⪐⫏≰10021122)⨸⪁⫏≰11220102⪘⫢⫏≰22020022))","cot":[{"info":"⩦⩻⨪⫏≰100111022=⫏≰100111022","layer":3},{"info":"⫏≰1120020⨓⫏≰12102011=⫏≰-12102021","layer":3},{"info":"⫏≰100111022⋷⫏≰-12102021=⫏≰-202022211","layer":2},{"info":"⫏≰-202022211⫌⩹⨱=⫏≰-1102201202","layer":1},{"info":"⨑⩽⪐⫏≰10021122=⫏≰-2220112","layer":3},{"info":"⫏≰11220102⪘⫢⫏≰22020022=⫏≰100122020","layer":3},{"info":"⫏≰-2220112⨸⪁⫏≰100122020=⫏≰111110102","layer":2},{"info":"⫓⪴⫏≰111110102=⫏≰20201011021221111","layer":1},{"info":"⫏≰-1102201202≹⇙⪍⫏≰20201011021221111=NaN","layer":0}]}
{"id":178,"expression_no_base_symbol":"(($1124$⇷$5694$↺($4937$⊭↱$1519$))⋥≓≎(($2911$⊘)⊠≄⫣))⪛(↔(($1711$⊪)⊦⊿))","expression":"((⫏≰1112122⇷⫏≰21210220↺(⫏≰20202212⊭↱⫏≰2002021))⋥≓≎((⫏≰10222211⊘)⊠≄⫣))⪛(↔((⫏≰2100101⊪)⊦⊿))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15841,"operation_count":10,"complexity_ratio":1584.1,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1124,"base":3},"right_expr":{"type":"numeric_atoms","value":5694,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4937,"base":3},"right_expr":{"type":"numeric_atoms","value":1519,"base":3}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2911,"base":3}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1711,"base":3}}}}},"used_operators":["uFcxV4UQCh","Qy55tPpLXF","7j4O788W3g","mp7IySMOzn","COABgblf1C","DIvbN7qnHd","gu96TGCTMs","ruOEQAzv1W","14qkJME0vr","zVYPLywUTj"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫏≰-1000020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1124","layer":4},{"info":"number node, value=5694","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=5694, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11388","layer":3},{"info":"number node, value=4937","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=4937, right_input=1519, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6831","layer":3},{"info":"compute binary expreesion, left_input=11388, right_input=-6831, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-6831","layer":2},{"info":"number node, value=2911","layer":4},{"info":"compute unary expreesion, input=2911, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-6831, right_input=0, 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=1711","layer":4},{"info":"compute unary expreesion, input=1711, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":2},{"info":"compute unary expreesion, input=-79, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-802","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-802, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-735","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1112122⇷⫏≰21210220↺(⫏≰20202212⊭↱⫏≰2002021))⋥≓≎((⫏≰10222211⊘)⊠≄⫣))⪛(↔((⫏≰2100101⊪)⊦⊿))=⫏≰-1000020","reverse_text":"⫏≰-1000020=((⫏≰1112122⇷⫏≰21210220↺(⫏≰20202212⊭↱⫏≰2002021))⋥≓≎((⫏≰10222211⊘)⊠≄⫣))⪛(↔((⫏≰2100101⊪)⊦⊿))","cot":[{"info":"⫏≰1112122⇷⫏≰21210220=⫏≰120121210","layer":3},{"info":"⫏≰20202212⊭↱⫏≰2002021=⫏≰-100101000","layer":3},{"info":"⫏≰120121210↺⫏≰-100101000=⫏≰-100101000","layer":2},{"info":"⫏≰10222211⊘=⫏≰0","layer":3},{"info":"⫏≰0⊠≄⫣=⫏≰0","layer":2},{"info":"⫏≰-100101000⋥≓≎⫏≰0=⫏≰2111","layer":1},{"info":"⫏≰2100101⊪=⫏≰0","layer":3},{"info":"⫏≰0⊦⊿=⫏≰-2221","layer":2},{"info":"↔⫏≰-2221=⫏≰-1002201","layer":1},{"info":"⫏≰2111⪛⫏≰-1002201=⫏≰-1000020","layer":0}]}
{"id":179,"expression_no_base_symbol":"(↣≠⋷(∥⊫$1902$≹⇙⪍$1986$))⩷∴($2436$≎⊠⪸$3892$⨎$2611$↬$3488$)∀⇚≩(($1103$⇼⇔∾$3035$)≧⫂∧($2234$+⇶⊼$3439$))","expression":"(↣≠⋷(∥⊫⫏≰2121110≹⇙⪍⫏≰2201120))⩷∴(⫏≰10100020≎⊠⪸⫏≰12100011⨎⫏≰10120201↬⫏≰11210012)∀⇚≩((⫏≰1111212⇼⇔∾⫏≰11011102)≧⫂∧(⫏≰10001202+⇶⊼⫏≰11201101))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":290,"operation_count":11,"complexity_ratio":26.363636363636363,"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":1902,"base":3},"right_expr":{"type":"numeric_atoms","value":1986,"base":3}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2436,"base":3},"right_expr":{"type":"numeric_atoms","value":3892,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2611,"base":3},"right_expr":{"type":"numeric_atoms","value":3488,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1103,"base":3},"right_expr":{"type":"numeric_atoms","value":3035,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2234,"base":3},"right_expr":{"type":"numeric_atoms","value":3439,"base":3}}}}},"used_operators":["9FxExcQeMw","Asc51vEJeQ","P8v4zCKN1o","AHs5Up7iyr","LRNGc0VcxI","rJVOvQCfKK","bJkvcejdHO","B5M0gjZbta","Ph9nP6C5qx","tifHPKVTfV","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1902","layer":4},{"info":"number node, value=1986","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=1986, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=2436","layer":4},{"info":"number node, value=3892","layer":4},{"info":"compute binary expreesion, left_input=2436, right_input=3892, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=630451","layer":3},{"info":"number node, value=2611","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=3488, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=630451, 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=1103","layer":4},{"info":"number node, value=3035","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=3035, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1932","layer":3},{"info":"number node, value=2234","layer":4},{"info":"number node, value=3439","layer":4},{"info":"compute binary expreesion, left_input=2234, right_input=3439, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1932, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↣≠⋷(∥⊫⫏≰2121110≹⇙⪍⫏≰2201120))⩷∴(⫏≰10100020≎⊠⪸⫏≰12100011⨎⫏≰10120201↬⫏≰11210012)∀⇚≩((⫏≰1111212⇼⇔∾⫏≰11011102)≧⫂∧(⫏≰10001202+⇶⊼⫏≰11201101))=NaN","reverse_text":"NaN=(↣≠⋷(∥⊫⫏≰2121110≹⇙⪍⫏≰2201120))⩷∴(⫏≰10100020≎⊠⪸⫏≰12100011⨎⫏≰10120201↬⫏≰11210012)∀⇚≩((⫏≰1111212⇼⇔∾⫏≰11011102)≧⫂∧(⫏≰10001202+⇶⊼⫏≰11201101))","cot":[{"info":"⫏≰2121110≹⇙⪍⫏≰2201120=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⫏≰10100020≎⊠⪸⫏≰12100011=⫏≰1012000211001","layer":3},{"info":"⫏≰10120201↬⫏≰11210012=NaN","layer":3},{"info":"⫏≰1012000211001⨎NaN=NaN","layer":2},{"info":"⫏≰1111212⇼⇔∾⫏≰11011102=⫏≰2122120","layer":3},{"info":"⫏≰10001202+⇶⊼⫏≰11201101=NaN","layer":3},{"info":"⫏≰2122120≧⫂∧NaN=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":180,"expression_no_base_symbol":"(↣≠⋷(⫓⪴($1123$⊭∹↮)))⩠","expression":"(↣≠⋷(⫓⪴(⫏≰1112121⊭∹↮)))⩠","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2273,"operation_count":4,"complexity_ratio":568.25,"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":1123,"base":3}}}}},"used_operators":["sJAwomhLZr","Asc51vEJeQ","eLxqMNBOBk","xNBdhnnwKq"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":4},{"info":"compute unary expreesion, input=1123, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2246","layer":3},{"info":"compute unary expreesion, input=2246, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5044516","layer":2},{"info":"compute unary expreesion, input=5044516, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/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":3,"result_base":3,"text":"(↣≠⋷(⫓⪴(⫏≰1112121⊭∹↮)))⩠=NaN","reverse_text":"NaN=(↣≠⋷(⫓⪴(⫏≰1112121⊭∹↮)))⩠","cot":[{"info":"⫏≰1112121⊭∹↮=⫏≰10002012","layer":3},{"info":"⫓⪴⫏≰10002012=⫏≰100111021202221","layer":2},{"info":"↣≠⋷⫏≰100111021202221=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":181,"expression_no_base_symbol":"(($2614$⩚⊴⇥$5357$)⪛($1833$↺$1191$))⊴((∂$1397$)⇷$3670$↬$4441$)⨳⩥⨓($6174$⋝⋈⪟$3444$↛⩡⫤)≧⫂∧($1255$⫥∨⫟$2065$)⪢($3679$⨪↰⇹$5021$)","expression":"((⫏≰10120211⩚⊴⇥⫏≰21100102)⪛(⫏≰2111220↺⫏≰1122010))⊴((∂⫏≰1220202)⇷⫏≰12000221↬⫏≰20002111)⨳⩥⨓(⫏≰22110200⋝⋈⪟⫏≰11201120↛⩡⫤)≧⫂∧(⫏≰1201111⫥∨⫟⫏≰2211111)⪢(⫏≰12001021⨪↰⇹⫏≰20212222)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26205,"operation_count":14,"complexity_ratio":1871.7857142857142,"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":2614,"base":3},"right_expr":{"type":"numeric_atoms","value":5357,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1833,"base":3},"right_expr":{"type":"numeric_atoms","value":1191,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1397,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3670,"base":3},"right_expr":{"type":"numeric_atoms","value":4441,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6174,"base":3},"right_expr":{"type":"numeric_atoms","value":3444,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1255,"base":3},"right_expr":{"type":"numeric_atoms","value":2065,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3679,"base":3},"right_expr":{"type":"numeric_atoms","value":5021,"base":3}}}}},"used_operators":["nCS4ZIUYfx","Nsiff2A1zJ","uFcxV4UQCh","NTOWxs364D","7j4O788W3g","mp7IySMOzn","Uaa54Peajs","B5M0gjZbta","Ph9nP6C5qx","FU0Cs4j7VP","2DDjHMKMc0","dWAJyo7jo9","KYD54nUTWz","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2614","layer":4},{"info":"number node, value=5357","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=5357, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8092","layer":3},{"info":"number node, value=1833","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=1191, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1191","layer":3},{"info":"compute binary expreesion, left_input=-8092, right_input=1191, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=245","layer":2},{"info":"number node, value=1397","layer":4},{"info":"compute unary expreesion, input=1397, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=3670","layer":4},{"info":"number node, value=4441","layer":4},{"info":"compute binary expreesion, left_input=3670, right_input=4441, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=245, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=6174","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=6174, right_input=3444, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6174","layer":3},{"info":"compute unary expreesion, input=6174, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-928363","layer":2},{"info":"number node, value=1255","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=2065, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3679","layer":4},{"info":"number node, value=5021","layer":4},{"info":"compute binary expreesion, left_input=3679, right_input=5021, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3679","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3679, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-928363, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10120211⩚⊴⇥⫏≰21100102)⪛(⫏≰2111220↺⫏≰1122010))⊴((∂⫏≰1220202)⇷⫏≰12000221↬⫏≰20002111)⨳⩥⨓(⫏≰22110200⋝⋈⪟⫏≰11201120↛⩡⫤)≧⫂∧(⫏≰1201111⫥∨⫟⫏≰2211111)⪢(⫏≰12001021⨪↰⇹⫏≰20212222)=NaN","reverse_text":"NaN=((⫏≰10120211⩚⊴⇥⫏≰21100102)⪛(⫏≰2111220↺⫏≰1122010))⊴((∂⫏≰1220202)⇷⫏≰12000221↬⫏≰20002111)⨳⩥⨓(⫏≰22110200⋝⋈⪟⫏≰11201120↛⩡⫤)≧⫂∧(⫏≰1201111⫥∨⫟⫏≰2211111)⪢(⫏≰12001021⨪↰⇹⫏≰20212222)","cot":[{"info":"⫏≰10120211⩚⊴⇥⫏≰21100102=⫏≰-102002201","layer":3},{"info":"⫏≰2111220↺⫏≰1122010=⫏≰1122010","layer":3},{"info":"⫏≰-102002201⪛⫏≰1122010=⫏≰100002","layer":2},{"info":"∂⫏≰1220202=NaN","layer":3},{"info":"⫏≰12000221↬⫏≰20002111=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"⫏≰100002⊴NaN=NaN","layer":1},{"info":"⫏≰22110200⋝⋈⪟⫏≰11201120=⫏≰22110200","layer":3},{"info":"⫏≰22110200↛⩡⫤=⫏≰-1202011110211","layer":2},{"info":"⫏≰1201111⫥∨⫟⫏≰2211111=NaN","layer":3},{"info":"⫏≰12001021⨪↰⇹⫏≰20212222=⫏≰12001021","layer":3},{"info":"NaN⪢⫏≰12001021=NaN","layer":2},{"info":"⫏≰-1202011110211≧⫂∧NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":182,"expression_no_base_symbol":"((($1023$⊠≄⫣)⨰($5625$-$4981$))⩠)⫸⊐($1955$⪒$1332$+($3672$⫌⩹⨱)/(⫛⫱⨽$1234$)⪘⫢($2625$⨳⩥⨓$4691$))","expression":"(((⫏≰1101220⊠≄⫣)⨰(⫏≰21201100-⫏≰20211111))⩠)⫸⊐(⫏≰2200102⪒⫏≰1211100+(⫏≰12001000⫌⩹⨱)/(⫛⫱⨽⫏≰1200201)⪘⫢(⫏≰10121020⨳⩥⨓⫏≰20102202))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1509,"operation_count":12,"complexity_ratio":125.75,"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":1023,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5625,"base":3},"right_expr":{"type":"numeric_atoms","value":4981,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1955,"base":3},"right_expr":{"type":"numeric_atoms","value":1332,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3672,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1234,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2625,"base":3},"right_expr":{"type":"numeric_atoms","value":4691,"base":3}}}}},"used_operators":["mqXw5SEYmG","sJAwomhLZr","eewbuw0ToL","DIvbN7qnHd","rysDP5nf3Z","XhwjNDsVaA","W4YGzv6Whe","f6k1SAg4EE","EBcxylXtPf","oacrs7FA3X","DlLNRPXxWL","nCS4ZIUYfx"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰-12101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=5625","layer":4},{"info":"number node, value=4981","layer":4},{"info":"compute binary expreesion, left_input=5625, right_input=4981, op_id = rysDP5nf3Z binary_op_definition= 'None', output=644","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=644, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-634","layer":2},{"info":"compute unary expreesion, input=-634, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=2745","layer":1},{"info":"number node, value=1955","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=1955, right_input=1332, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3287","layer":3},{"info":"number node, value=3672","layer":4},{"info":"compute unary expreesion, input=3672, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8745","layer":3},{"info":"compute binary expreesion, left_input=-3287, right_input=8745, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5458","layer":2},{"info":"number node, value=1234","layer":4},{"info":"compute unary expreesion, input=1234, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2625","layer":4},{"info":"number node, value=4691","layer":4},{"info":"compute binary expreesion, left_input=2625, right_input=4691, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2066","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2066, 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=5458, right_input=-1156, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-5","layer":1},{"info":"compute binary expreesion, left_input=2745, right_input=-5, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-145","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1101220⊠≄⫣)⨰(⫏≰21201100-⫏≰20211111))⩠)⫸⊐(⫏≰2200102⪒⫏≰1211100+(⫏≰12001000⫌⩹⨱)/(⫛⫱⨽⫏≰1200201)⪘⫢(⫏≰10121020⨳⩥⨓⫏≰20102202))=⫏≰-12101","reverse_text":"⫏≰-12101=(((⫏≰1101220⊠≄⫣)⨰(⫏≰21201100-⫏≰20211111))⩠)⫸⊐(⫏≰2200102⪒⫏≰1211100+(⫏≰12001000⫌⩹⨱)/(⫛⫱⨽⫏≰1200201)⪘⫢(⫏≰10121020⨳⩥⨓⫏≰20102202))","cot":[{"info":"⫏≰1101220⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰21201100-⫏≰20211111=⫏≰212212","layer":3},{"info":"⫏≰0⨰⫏≰212212=⫏≰-212111","layer":2},{"info":"⫏≰-212111⩠=⫏≰10202200","layer":1},{"info":"⫏≰2200102⪒⫏≰1211100=⫏≰-11111202","layer":3},{"info":"⫏≰12001000⫌⩹⨱=⫏≰102222220","layer":3},{"info":"⫏≰-11111202+⫏≰102222220=⫏≰21111011","layer":2},{"info":"⫛⫱⨽⫏≰1200201=⫏≰0","layer":3},{"info":"⫏≰10121020⨳⩥⨓⫏≰20102202=⫏≰2211112","layer":3},{"info":"⫏≰0⪘⫢⫏≰2211112=⫏≰-1120211","layer":2},{"info":"⫏≰21111011/⫏≰-1120211=⫏≰-12","layer":1},{"info":"⫏≰10202200⫸⊐⫏≰-12=⫏≰-12101","layer":0}]}
{"id":183,"expression_no_base_symbol":"((($2412$⫸⊐$2783$)⫸⊐$4123$∼$4599$)≭((⋗⩬⋾$2704$)⊭∹↮))⪮%⊝(↽≂($2752$↙$2034$⋷($1619$⋫)))","expression":"(((⫏≰10022100⫸⊐⫏≰10211002)⫸⊐⫏≰12122201∼⫏≰20022100)≭((⋗⩬⋾⫏≰10201011)⊭∹↮))⪮%⊝(↽≂(⫏≰10202221↙⫏≰2210100⋷(⫏≰2012222⋫)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3803,"operation_count":11,"complexity_ratio":345.72727272727275,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2412,"base":3},"right_expr":{"type":"numeric_atoms","value":2783,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4123,"base":3},"right_expr":{"type":"numeric_atoms","value":4599,"base":3}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2704,"base":3}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2752,"base":3},"right_expr":{"type":"numeric_atoms","value":2034,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1619,"base":3}}}}},"used_operators":["IWmyXbctLI","rxpJgHHUmx","mqXw5SEYmG","DyGG3AbaNP","xNBdhnnwKq","DpFCA1CohY","u6S6b8DprG","23Mk6UjR3U","yyfyN0ffXY","JL8yIekQnl"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2412","layer":4},{"info":"number node, value=2783","layer":4},{"info":"compute binary expreesion, left_input=2412, right_input=2783, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11007","layer":3},{"info":"number node, value=4123","layer":4},{"info":"number node, value=4599","layer":4},{"info":"compute binary expreesion, left_input=4123, right_input=4599, 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=11007, 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=2704","layer":4},{"info":"compute unary expreesion, input=2704, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8112","layer":3},{"info":"compute unary expreesion, input=-8112, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-8112","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8112, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2752","layer":4},{"info":"number node, value=2034","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=2034, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6102","layer":3},{"info":"number node, value=1619","layer":4},{"info":"compute unary expreesion, input=1619, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1619","layer":3},{"info":"compute binary expreesion, left_input=-6102, right_input=1619, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12204","layer":2},{"info":"compute unary expreesion, input=12204, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-24408","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-24408, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰10022100⫸⊐⫏≰10211002)⫸⊐⫏≰12122201∼⫏≰20022100)≭((⋗⩬⋾⫏≰10201011)⊭∹↮))⪮%⊝(↽≂(⫏≰10202221↙⫏≰2210100⋷(⫏≰2012222⋫)))=NaN","reverse_text":"NaN=(((⫏≰10022100⫸⊐⫏≰10211002)⫸⊐⫏≰12122201∼⫏≰20022100)≭((⋗⩬⋾⫏≰10201011)⊭∹↮))⪮%⊝(↽≂(⫏≰10202221↙⫏≰2210100⋷(⫏≰2012222⋫)))","cot":[{"info":"⫏≰10022100⫸⊐⫏≰10211002=⫏≰120002200","layer":3},{"info":"⫏≰12122201∼⫏≰20022100=NaN","layer":3},{"info":"⫏≰120002200⫸⊐NaN=NaN","layer":2},{"info":"⋗⩬⋾⫏≰10201011=⫏≰-102010110","layer":3},{"info":"⫏≰-102010110⊭∹↮=⫏≰-102010110","layer":2},{"info":"NaN≭⫏≰-102010110=NaN","layer":1},{"info":"⫏≰10202221↙⫏≰2210100=⫏≰-22101000","layer":3},{"info":"⫏≰2012222⋫=⫏≰2012222","layer":3},{"info":"⫏≰-22101000⋷⫏≰2012222=⫏≰121202000","layer":2},{"info":"↽≂⫏≰121202000=⫏≰-1020111000","layer":1},{"info":"NaN⪮%⊝⫏≰-1020111000=NaN","layer":0}]}
{"id":184,"expression_no_base_symbol":"(($1350$⨎$3448$⨸⪁$1980$≎⊠⪸$1991$)⪠⩆⊳)⊭↱(($3172$⊪)⊭↱$2053$≹⇙⪍$1543$)⩷∴($7902$⇼⇔∾$1260$)⪮%⊝$1474$⊴$2588$","expression":"((⫏≰1212000⨎⫏≰11201201⨸⪁⫏≰2201100≎⊠⪸⫏≰2201202)⪠⩆⊳)⊭↱((⫏≰11100111⊪)⊭↱⫏≰2211001≹⇙⪍⫏≰2010011)⩷∴(⫏≰101211200⇼⇔∾⫏≰1201200)⪮%⊝⫏≰2000121⊴⫏≰10112212","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2937,"operation_count":12,"complexity_ratio":244.75,"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":1350,"base":3},"right_expr":{"type":"numeric_atoms","value":3448,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1980,"base":3},"right_expr":{"type":"numeric_atoms","value":1991,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3172,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2053,"base":3},"right_expr":{"type":"numeric_atoms","value":1543,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7902,"base":3},"right_expr":{"type":"numeric_atoms","value":1260,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1474,"base":3},"right_expr":{"type":"numeric_atoms","value":2588,"base":3}}}}},"used_operators":["COABgblf1C","JLbD19bQDL","g55IO6H4Gj","rJVOvQCfKK","bJkvcejdHO","9FxExcQeMw","zVYPLywUTj","AHs5Up7iyr","IWmyXbctLI","tifHPKVTfV","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1350","layer":4},{"info":"number node, value=3448","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=3448, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3448","layer":3},{"info":"number node, value=1980","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=1980, right_input=1991, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=512347","layer":3},{"info":"compute binary expreesion, left_input=3448, right_input=512347, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1031590","layer":2},{"info":"compute unary expreesion, input=1031590, 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=3172","layer":4},{"info":"compute unary expreesion, input=3172, 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=2053","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=2053, right_input=1543, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=7902","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=7902, right_input=1260, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6642","layer":3},{"info":"number node, value=1474","layer":4},{"info":"number node, value=2588","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=2588, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6642, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', 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":3,"result_base":3,"text":"((⫏≰1212000⨎⫏≰11201201⨸⪁⫏≰2201100≎⊠⪸⫏≰2201202)⪠⩆⊳)⊭↱((⫏≰11100111⊪)⊭↱⫏≰2211001≹⇙⪍⫏≰2010011)⩷∴(⫏≰101211200⇼⇔∾⫏≰1201200)⪮%⊝⫏≰2000121⊴⫏≰10112212=NaN","reverse_text":"NaN=((⫏≰1212000⨎⫏≰11201201⨸⪁⫏≰2201100≎⊠⪸⫏≰2201202)⪠⩆⊳)⊭↱((⫏≰11100111⊪)⊭↱⫏≰2211001≹⇙⪍⫏≰2010011)⩷∴(⫏≰101211200⇼⇔∾⫏≰1201200)⪮%⊝⫏≰2000121⊴⫏≰10112212","cot":[{"info":"⫏≰1212000⨎⫏≰11201201=⫏≰11201201","layer":3},{"info":"⫏≰2201100≎⊠⪸⫏≰2201202=⫏≰222000210211","layer":3},{"info":"⫏≰11201201⨸⪁⫏≰222000210211=⫏≰1221102002001","layer":2},{"info":"⫏≰1221102002001⪠⩆⊳=⫏≰0","layer":1},{"info":"⫏≰11100111⊪=⫏≰0","layer":3},{"info":"⫏≰2211001≹⇙⪍⫏≰2010011=NaN","layer":3},{"info":"⫏≰0⊭↱NaN=NaN","layer":2},{"info":"⫏≰101211200⇼⇔∾⫏≰1201200=⫏≰-100010000","layer":3},{"info":"⫏≰2000121⊴⫏≰10112212=NaN","layer":3},{"info":"⫏≰-100010000⪮%⊝NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⫏≰0⊭↱NaN=NaN","layer":0}]}
{"id":185,"expression_no_base_symbol":"(⊄⩳↩($3319$⨳⩥⨓$2002$*($1108$+$1591$)))⪘⫢(⊄⩳↩(↽≂$2123$⪛$2651$))","expression":"(⊄⩳↩(⫏≰11112221⨳⩥⨓⫏≰2202011*(⫏≰1112001+⫏≰2011221)))⪘⫢(⊄⩳↩(↽≂⫏≰2220122⪛⫏≰10122012))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1349,"operation_count":8,"complexity_ratio":168.625,"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":3319,"base":3},"right_expr":{"type":"numeric_atoms","value":2002,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1108,"base":3},"right_expr":{"type":"numeric_atoms","value":1591,"base":3}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2123,"base":3},"right_expr":{"type":"numeric_atoms","value":2651,"base":3}}}}},"used_operators":["oacrs7FA3X","8w2t5hMYqp","9HNa5Wba9A","nCS4ZIUYfx","W4YGzv6Whe","u6S6b8DprG","uFcxV4UQCh"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫏≰1111010112122202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3319","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=2002, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1317","layer":3},{"info":"number node, value=1108","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=1591, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2699","layer":3},{"info":"compute binary expreesion, left_input=-1317, right_input=2699, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-3554583","layer":2},{"info":"compute unary expreesion, input=-3554583, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=10663749","layer":1},{"info":"number node, value=2123","layer":4},{"info":"number node, value=2651","layer":4},{"info":"compute binary expreesion, left_input=2123, right_input=2651, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2123","layer":3},{"info":"compute unary expreesion, input=2123, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4246","layer":2},{"info":"compute unary expreesion, input=-4246, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=12738","layer":1},{"info":"compute binary expreesion, left_input=10663749, right_input=12738, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=21327374","layer":0}],"base":3,"result_base":3,"text":"(⊄⩳↩(⫏≰11112221⨳⩥⨓⫏≰2202011*(⫏≰1112001+⫏≰2011221)))⪘⫢(⊄⩳↩(↽≂⫏≰2220122⪛⫏≰10122012))=⫏≰1111010112122202","reverse_text":"⫏≰1111010112122202=(⊄⩳↩(⫏≰11112221⨳⩥⨓⫏≰2202011*(⫏≰1112001+⫏≰2011221)))⪘⫢(⊄⩳↩(↽≂⫏≰2220122⪛⫏≰10122012))","cot":[{"info":"⫏≰11112221⨳⩥⨓⫏≰2202011=⫏≰-1210210","layer":3},{"info":"⫏≰1112001+⫏≰2011221=⫏≰10200222","layer":3},{"info":"⫏≰-1210210*⫏≰10200222=⫏≰-20200120222020","layer":2},{"info":"⊄⩳↩⫏≰-20200120222020=⫏≰202001202220200","layer":1},{"info":"⫏≰2220122⪛⫏≰10122012=⫏≰2220122","layer":3},{"info":"↽≂⫏≰2220122=⫏≰-12211021","layer":2},{"info":"⊄⩳↩⫏≰-12211021=⫏≰122110210","layer":1},{"info":"⫏≰202001202220200⪘⫢⫏≰122110210=⫏≰1111010112122202","layer":0}]}
{"id":186,"expression_no_base_symbol":"((⊙↵-($3970$⋷$1224$))⊉≛↸($3639$≫≃)⪄(⨞⊢$4983$))↺(($3981$⨽$2752$)∼($1319$⋷$1552$)⊉≛↸(($5636$-$1252$)⩨$3151$≭$3510$))","expression":"((⊙↵-(⫏≰12110001⋷⫏≰1200100))⊉≛↸(⫏≰11222210≫≃)⪄(⨞⊢⫏≰20211120))↺((⫏≰12110110⨽⫏≰10202221)∼(⫏≰1210212⋷⫏≰2010111)⊉≛↸((⫏≰21201202-⫏≰1201101)⩨⫏≰11022201≭⫏≰11211000))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":938059,"operation_count":14,"complexity_ratio":67004.21428571429,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3970,"base":3},"right_expr":{"type":"numeric_atoms","value":1224,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3639,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4983,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3981,"base":3},"right_expr":{"type":"numeric_atoms","value":2752,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1319,"base":3},"right_expr":{"type":"numeric_atoms","value":1552,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5636,"base":3},"right_expr":{"type":"numeric_atoms","value":1252,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3151,"base":3},"right_expr":{"type":"numeric_atoms","value":3510,"base":3}}}}},"used_operators":["7j4O788W3g","DZ8iAZOCBD","oWn0xqSxBt","23Mk6UjR3U","SUmda5xLS4","X99M06cbEe","xUOZtlo3hN","DyGG3AbaNP","8HhzD0ZcuI","2DlMacCsIx","rysDP5nf3Z","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3970","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=3970, right_input=1224, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1522","layer":3},{"info":"compute unary expreesion, input=-1522, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=3639","layer":4},{"info":"compute unary expreesion, input=3639, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8679","layer":3},{"info":"number node, value=4983","layer":4},{"info":"compute unary expreesion, input=4983, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5157","layer":3},{"info":"compute binary expreesion, left_input=8679, right_input=-5157, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1259953","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=-1259953, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=392","layer":1},{"info":"number node, value=3981","layer":4},{"info":"number node, value=2752","layer":4},{"info":"compute binary expreesion, left_input=3981, right_input=2752, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-47552025","layer":3},{"info":"number node, value=1319","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=1552, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1785","layer":3},{"info":"compute binary expreesion, left_input=-47552025, right_input=1785, 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=5636","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=5636, right_input=1252, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4384","layer":3},{"info":"number node, value=3151","layer":4},{"info":"number node, value=3510","layer":4},{"info":"compute binary expreesion, left_input=3151, right_input=3510, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4384, 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 = 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=392, 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":3,"result_base":3,"text":"((⊙↵-(⫏≰12110001⋷⫏≰1200100))⊉≛↸(⫏≰11222210≫≃)⪄(⨞⊢⫏≰20211120))↺((⫏≰12110110⨽⫏≰10202221)∼(⫏≰1210212⋷⫏≰2010111)⊉≛↸((⫏≰21201202-⫏≰1201101)⩨⫏≰11022201≭⫏≰11211000))=NaN","reverse_text":"NaN=((⊙↵-(⫏≰12110001⋷⫏≰1200100))⊉≛↸(⫏≰11222210≫≃)⪄(⨞⊢⫏≰20211120))↺((⫏≰12110110⨽⫏≰10202221)∼(⫏≰1210212⋷⫏≰2010111)⊉≛↸((⫏≰21201202-⫏≰1201101)⩨⫏≰11022201≭⫏≰11211000))","cot":[{"info":"⫏≰12110001⋷⫏≰1200100=⫏≰-2002101","layer":3},{"info":"⊙↵-⫏≰-2002101=⫏≰21021","layer":2},{"info":"⫏≰11222210≫≃=⫏≰102220110","layer":3},{"info":"⨞⊢⫏≰20211120=⫏≰-21002000","layer":3},{"info":"⫏≰102220110⪄⫏≰-21002000=⫏≰-2101000022221","layer":2},{"info":"⫏≰21021⊉≛↸⫏≰-2101000022221=⫏≰112112","layer":1},{"info":"⫏≰12110110⨽⫏≰10202221=⫏≰-10022110220010010","layer":3},{"info":"⫏≰1210212⋷⫏≰2010111=⫏≰2110010","layer":3},{"info":"⫏≰-10022110220010010∼⫏≰2110010=NaN","layer":2},{"info":"⫏≰21201202-⫏≰1201101=⫏≰20000101","layer":3},{"info":"⫏≰11022201≭⫏≰11211000=NaN","layer":3},{"info":"⫏≰20000101⩨NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⫏≰112112↺NaN=NaN","layer":0}]}
{"id":187,"expression_no_base_symbol":"($1065$⨓$2742$⋷(⫛⫱⨽$6561$)⋷((⨑⩽⪐$1459$)⋷($6303$≦≮≮)))⋥≓≎(≦∁(↩$6969$))⋥≓≎($1093$⋷$2318$)⨐⩸⫘$5973$⨟⋌⩍$5211$","expression":"(⫏≰1110110⨓⫏≰10202120⋷(⫛⫱⨽⫏≰100000000)⋷((⨑⩽⪐⫏≰2000001)⋷(⫏≰22122110≦≮≮)))⋥≓≎(≦∁(↩⫏≰100120010))⋥≓≎(⫏≰1111111⋷⫏≰10011212)⨐⩸⫘⫏≰22012020⨟⋌⩍⫏≰21011000","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4412,"operation_count":14,"complexity_ratio":315.14285714285717,"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":1065,"base":3},"right_expr":{"type":"numeric_atoms","value":2742,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6561,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1459,"base":3}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":6303,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6969,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1093,"base":3},"right_expr":{"type":"numeric_atoms","value":2318,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5973,"base":3},"right_expr":{"type":"numeric_atoms","value":5211,"base":3}}}}},"used_operators":["Qy55tPpLXF","23Mk6UjR3U","3ViojmjbAp","DlLNRPXxWL","AF7qkfDlqP","D4vGDi5EA2","9ICcGScMcE","jLgFTUHLKL","fu6greOZ01","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3ViojmjbAp","Tcnh7f0tEr"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":4},{"info":"number node, value=2742","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=2742, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2745","layer":3},{"info":"number node, value=6561","layer":4},{"info":"compute unary expreesion, input=6561, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2745, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5490","layer":2},{"info":"number node, value=1459","layer":4},{"info":"compute unary expreesion, input=1459, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1186","layer":3},{"info":"number node, value=6303","layer":4},{"info":"compute unary expreesion, input=6303, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-18909","layer":3},{"info":"compute binary expreesion, left_input=-1186, right_input=-18909, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2372","layer":2},{"info":"compute binary expreesion, left_input=5490, right_input=2372, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-746","layer":1},{"info":"number node, value=6969","layer":4},{"info":"compute unary expreesion, input=6969, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-52972","layer":3},{"info":"compute unary expreesion, input=-52972, 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=1093","layer":4},{"info":"number node, value=2318","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=2318, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3543","layer":3},{"info":"number node, value=5973","layer":4},{"info":"number node, value=5211","layer":4},{"info":"compute binary expreesion, left_input=5973, right_input=5211, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=3543, 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 = 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=-746, 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":3,"result_base":3,"text":"(⫏≰1110110⨓⫏≰10202120⋷(⫛⫱⨽⫏≰100000000)⋷((⨑⩽⪐⫏≰2000001)⋷(⫏≰22122110≦≮≮)))⋥≓≎(≦∁(↩⫏≰100120010))⋥≓≎(⫏≰1111111⋷⫏≰10011212)⨐⩸⫘⫏≰22012020⨟⋌⩍⫏≰21011000=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰1110110⨓⫏≰10202120⋷(⫛⫱⨽⫏≰100000000)⋷((⨑⩽⪐⫏≰2000001)⋷(⫏≰22122110≦≮≮)))⋥≓≎(≦∁(↩⫏≰100120010))⋥≓≎(⫏≰1111111⋷⫏≰10011212)⨐⩸⫘⫏≰22012020⨟⋌⩍⫏≰21011000","cot":[{"info":"⫏≰1110110⨓⫏≰10202120=⫏≰-10202200","layer":3},{"info":"⫛⫱⨽⫏≰100000000=⫏≰0","layer":3},{"info":"⫏≰-10202200⋷⫏≰0=⫏≰21112100","layer":2},{"info":"⨑⩽⪐⫏≰2000001=⫏≰-1121221","layer":3},{"info":"⫏≰22122110≦≮≮=⫏≰-221221100","layer":3},{"info":"⫏≰-1121221⋷⫏≰-221221100=⫏≰10020212","layer":2},{"info":"⫏≰21112100⋷⫏≰10020212=⫏≰-1000122","layer":1},{"info":"↩⫏≰100120010=⫏≰-2200122221","layer":3},{"info":"≦∁⫏≰-2200122221=⫏≰2111","layer":2},{"info":"⫏≰1111111⋷⫏≰10011212=⫏≰11212020","layer":3},{"info":"⫏≰22012020⨟⋌⩍⫏≰21011000=NaN","layer":3},{"info":"⫏≰11212020⨐⩸⫘NaN=NaN","layer":2},{"info":"⫏≰2111⋥≓≎NaN=NaN","layer":1},{"info":"⫏≰-1000122⋥≓≎NaN=⫏≰2111","layer":0}]}
{"id":188,"expression_no_base_symbol":"↣≠⋷($8125$⇷$1832$≭(⨑⩽⪐$2431$)⩚⊴⇥($7675$≣⋋)⇷(⨰⫟⨤$1024$))","expression":"↣≠⋷(⫏≰102010221⇷⫏≰2111212≭(⨑⩽⪐⫏≰10100001)⩚⊴⇥(⫏≰101112021≣⋋)⇷(⨰⫟⨤⫏≰1101221))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":117544,"operation_count":8,"complexity_ratio":14693.0,"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":8125,"base":3},"right_expr":{"type":"numeric_atoms","value":1832,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2431,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":7675,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1024,"base":3}}}}},"used_operators":["Asc51vEJeQ","NTOWxs364D","rxpJgHHUmx","mp7IySMOzn","AF7qkfDlqP","Tcnh7f0tEr","Tw270M8GLb"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=8125","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=8125, right_input=1832, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3664","layer":3},{"info":"number node, value=2431","layer":4},{"info":"compute unary expreesion, input=2431, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2158","layer":3},{"info":"compute binary expreesion, left_input=3664, right_input=-2158, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=7675","layer":4},{"info":"compute unary expreesion, input=7675, 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=1024","layer":4},{"info":"compute unary expreesion, input=1024, 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 = 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↣≠⋷(⫏≰102010221⇷⫏≰2111212≭(⨑⩽⪐⫏≰10100001)⩚⊴⇥(⫏≰101112021≣⋋)⇷(⨰⫟⨤⫏≰1101221))=NaN","reverse_text":"NaN=↣≠⋷(⫏≰102010221⇷⫏≰2111212≭(⨑⩽⪐⫏≰10100001)⩚⊴⇥(⫏≰101112021≣⋋)⇷(⨰⫟⨤⫏≰1101221))","cot":[{"info":"⫏≰102010221⇷⫏≰2111212=⫏≰12000201","layer":3},{"info":"⨑⩽⪐⫏≰10100001=⫏≰-2221221","layer":3},{"info":"⫏≰12000201≭⫏≰-2221221=NaN","layer":2},{"info":"⫏≰101112021≣⋋=⫏≰0","layer":3},{"info":"⨰⫟⨤⫏≰1101221=NaN","layer":3},{"info":"⫏≰0⇷NaN=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"⇁⨣⪵((⋗⩬⋾$1509$∑⇟⊟$2327$)⫩⊇)","expression":"⇁⨣⪵((⋗⩬⋾⫏≰2001220∑⇟⊟⫏≰10012012)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7,"operation_count":4,"complexity_ratio":1.75,"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":1509,"base":3},"right_expr":{"type":"numeric_atoms","value":2327,"base":3}}}}},"used_operators":["inkyxCbjAn","BjRHVeLaeN","DpFCA1CohY","U7g4x0WXJJ"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1509","layer":4},{"info":"number node, value=2327","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=2327, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⇁⨣⪵((⋗⩬⋾⫏≰2001220∑⇟⊟⫏≰10012012)⫩⊇)=NaN","reverse_text":"NaN=⇁⨣⪵((⋗⩬⋾⫏≰2001220∑⇟⊟⫏≰10012012)⫩⊇)","cot":[{"info":"⫏≰2001220∑⇟⊟⫏≰10012012=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":190,"expression_no_base_symbol":"⫛⫱⨽(($3159$⩨$2473$∲⫓$1462$⨳⩥⨓$3125$)⪒$3905$⨟⋌⩍$1909$⋳⪒$4133$⪮%⊝$3282$)","expression":"⫛⫱⨽((⫏≰11100000⩨⫏≰10101121∲⫓⫏≰2000011⨳⩥⨓⫏≰11021202)⪒⫏≰12100122⨟⋌⩍⫏≰2121201⋳⪒⫏≰12200002⪮%⊝⫏≰11111120)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":941,"operation_count":8,"complexity_ratio":117.625,"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":3159,"base":3},"right_expr":{"type":"numeric_atoms","value":2473,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1462,"base":3},"right_expr":{"type":"numeric_atoms","value":3125,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3905,"base":3},"right_expr":{"type":"numeric_atoms","value":1909,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4133,"base":3},"right_expr":{"type":"numeric_atoms","value":3282,"base":3}}}}},"used_operators":["DlLNRPXxWL","f6k1SAg4EE","i8ToyICDmI","2DlMacCsIx","nCS4ZIUYfx","12rbrZMWeM","rGHVDoGpnC","IWmyXbctLI"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3159","layer":4},{"info":"number node, value=2473","layer":4},{"info":"compute binary expreesion, left_input=3159, right_input=2473, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1462","layer":4},{"info":"number node, value=3125","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=3125, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1663","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1663, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=3905","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=3905, right_input=1909, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=4133","layer":4},{"info":"number node, value=3282","layer":4},{"info":"compute binary expreesion, left_input=4133, right_input=3282, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8582","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8582, 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=0, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫛⫱⨽((⫏≰11100000⩨⫏≰10101121∲⫓⫏≰2000011⨳⩥⨓⫏≰11021202)⪒⫏≰12100122⨟⋌⩍⫏≰2121201⋳⪒⫏≰12200002⪮%⊝⫏≰11111120)=NaN","reverse_text":"NaN=⫛⫱⨽((⫏≰11100000⩨⫏≰10101121∲⫓⫏≰2000011⨳⩥⨓⫏≰11021202)⪒⫏≰12100122⨟⋌⩍⫏≰2121201⋳⪒⫏≰12200002⪮%⊝⫏≰11111120)","cot":[{"info":"⫏≰11100000⩨⫏≰10101121=⫏≰0","layer":3},{"info":"⫏≰2000011⨳⩥⨓⫏≰11021202=⫏≰2021121","layer":3},{"info":"⫏≰0∲⫓⫏≰2021121=⫏≰0","layer":2},{"info":"⫏≰12100122⨟⋌⩍⫏≰2121201=NaN","layer":3},{"info":"⫏≰12200002⪮%⊝⫏≰11111120=⫏≰102202212","layer":3},{"info":"NaN⋳⪒⫏≰102202212=NaN","layer":2},{"info":"⫏≰0⪒NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":191,"expression_no_base_symbol":"((($7275$+$8910$)⪒($4837$⩤))⩤)⪢(($3717$∀⇚≩$4016$⪨≂$4420$⫸⊐$1543$)↬($1316$%$2413$)⪛($1062$⨽$1488$))","expression":"(((⫏≰100222110+⫏≰110020000)⪒(⫏≰20122011⩤))⩤)⪢((⫏≰12002200∀⇚≩⫏≰12111202⪨≂⫏≰20001201⫸⊐⫏≰2010011)↬(⫏≰1210202%⫏≰10022101)⪛(⫏≰1110100⨽⫏≰2001010))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27132,"operation_count":12,"complexity_ratio":2261.0,"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":7275,"base":3},"right_expr":{"type":"numeric_atoms","value":8910,"base":3}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4837,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3717,"base":3},"right_expr":{"type":"numeric_atoms","value":4016,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4420,"base":3},"right_expr":{"type":"numeric_atoms","value":1543,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1316,"base":3},"right_expr":{"type":"numeric_atoms","value":2413,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1062,"base":3},"right_expr":{"type":"numeric_atoms","value":1488,"base":3}}}}},"used_operators":["dWAJyo7jo9","Z2TMIBDE3Q","f6k1SAg4EE","W4YGzv6Whe","B5M0gjZbta","sdazOOVcIp","LRNGc0VcxI","mqXw5SEYmG","uFcxV4UQCh","k8jYdgA6NY","8HhzD0ZcuI"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7275","layer":4},{"info":"number node, value=8910","layer":4},{"info":"compute binary expreesion, left_input=7275, right_input=8910, op_id = W4YGzv6Whe binary_op_definition= 'None', output=16185","layer":3},{"info":"number node, value=4837","layer":4},{"info":"compute unary expreesion, input=4837, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4837","layer":3},{"info":"compute binary expreesion, left_input=16185, right_input=-4837, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11348","layer":2},{"info":"compute unary expreesion, input=-11348, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=11348","layer":1},{"info":"number node, value=3717","layer":4},{"info":"number node, value=4016","layer":4},{"info":"compute binary expreesion, left_input=3717, right_input=4016, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4420","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=4420, 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":"number node, value=1316","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=2413, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1316","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=1488, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3386682","layer":3},{"info":"compute binary expreesion, left_input=1316, right_input=-3386682, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-3385366","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3385366, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=11348, 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":3,"result_base":3,"text":"(((⫏≰100222110+⫏≰110020000)⪒(⫏≰20122011⩤))⩤)⪢((⫏≰12002200∀⇚≩⫏≰12111202⪨≂⫏≰20001201⫸⊐⫏≰2010011)↬(⫏≰1210202%⫏≰10022101)⪛(⫏≰1110100⨽⫏≰2001010))=NaN","reverse_text":"NaN=(((⫏≰100222110+⫏≰110020000)⪒(⫏≰20122011⩤))⩤)⪢((⫏≰12002200∀⇚≩⫏≰12111202⪨≂⫏≰20001201⫸⊐⫏≰2010011)↬(⫏≰1210202%⫏≰10022101)⪛(⫏≰1110100⨽⫏≰2001010))","cot":[{"info":"⫏≰100222110+⫏≰110020000=⫏≰211012110","layer":3},{"info":"⫏≰20122011⩤=⫏≰-20122011","layer":3},{"info":"⫏≰211012110⪒⫏≰-20122011=⫏≰-120120022","layer":2},{"info":"⫏≰-120120022⩤=⫏≰120120022","layer":1},{"info":"⫏≰12002200∀⇚≩⫏≰12111202=NaN","layer":3},{"info":"⫏≰20001201⫸⊐⫏≰2010011=⫏≰22021222","layer":3},{"info":"NaN⪨≂⫏≰22021222=NaN","layer":2},{"info":"⫏≰1210202%⫏≰10022101=⫏≰1210202","layer":3},{"info":"⫏≰1110100⨽⫏≰2001010=⫏≰-20101001122200","layer":3},{"info":"⫏≰1210202⪛⫏≰-20101001122200=⫏≰-20100222211221","layer":2},{"info":"NaN↬⫏≰-20100222211221=NaN","layer":1},{"info":"⫏≰120120022⪢NaN=NaN","layer":0}]}
{"id":192,"expression_no_base_symbol":"(($3967$⪘⫢$1643$)∀⇚≩($1492$⫡⨏$5174$)⫡⨏($1048$⨎$1475$/$1303$⨓$1363$))⫥∨⫟((⨵≀≌($5151$⨸⪁$2415$))+(⨰⫟⨤(∂$2973$)))","expression":"((⫏≰12102221⪘⫢⫏≰2020212)∀⇚≩(⫏≰2001021⫡⨏⫏≰21002122)⫡⨏(⫏≰1102211⨎⫏≰2000122/⫏≰1210021⨓⫏≰1212111))⫥∨⫟((⨵≀≌(⫏≰21001210⨸⪁⫏≰10022110))+(⨰⫟⨤(∂⫏≰11002010)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":56261,"operation_count":13,"complexity_ratio":4327.7692307692305,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3967,"base":3},"right_expr":{"type":"numeric_atoms","value":1643,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1492,"base":3},"right_expr":{"type":"numeric_atoms","value":5174,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1048,"base":3},"right_expr":{"type":"numeric_atoms","value":1475,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1303,"base":3},"right_expr":{"type":"numeric_atoms","value":1363,"base":3}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5151,"base":3},"right_expr":{"type":"numeric_atoms","value":2415,"base":3}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2973,"base":3}}}}},"used_operators":["KYD54nUTWz","QMFrweE19q","LRNGc0VcxI","oacrs7FA3X","XhwjNDsVaA","rJVOvQCfKK","3ViojmjbAp","W4YGzv6Whe","srAu1WTS94","g55IO6H4Gj","Tw270M8GLb","Uaa54Peajs"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3967","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=3967, right_input=1643, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7810","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=5174","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=5174, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18591","layer":3},{"info":"compute binary expreesion, left_input=7810, right_input=18591, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1048","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1475, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1475","layer":3},{"info":"number node, value=1303","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=1363, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1366","layer":3},{"info":"compute binary expreesion, left_input=1475, right_input=-1366, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2, op_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=5151","layer":4},{"info":"number node, value=2415","layer":4},{"info":"compute binary expreesion, left_input=5151, right_input=2415, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15132","layer":3},{"info":"compute unary expreesion, input=15132, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-45396","layer":2},{"info":"number node, value=2973","layer":4},{"info":"compute unary expreesion, input=2973, 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=-45396, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12102221⪘⫢⫏≰2020212)∀⇚≩(⫏≰2001021⫡⨏⫏≰21002122)⫡⨏(⫏≰1102211⨎⫏≰2000122/⫏≰1210021⨓⫏≰1212111))⫥∨⫟((⨵≀≌(⫏≰21001210⨸⪁⫏≰10022110))+(⨰⫟⨤(∂⫏≰11002010)))=NaN","reverse_text":"NaN=((⫏≰12102221⪘⫢⫏≰2020212)∀⇚≩(⫏≰2001021⫡⨏⫏≰21002122)⫡⨏(⫏≰1102211⨎⫏≰2000122/⫏≰1210021⨓⫏≰1212111))⫥∨⫟((⨵≀≌(⫏≰21001210⨸⪁⫏≰10022110))+(⨰⫟⨤(∂⫏≰11002010)))","cot":[{"info":"⫏≰12102221⪘⫢⫏≰2020212=⫏≰101201021","layer":3},{"info":"⫏≰2001021⫡⨏⫏≰21002122=⫏≰221111120","layer":3},{"info":"⫏≰101201021∀⇚≩⫏≰221111120=NaN","layer":2},{"info":"⫏≰1102211⨎⫏≰2000122=⫏≰2000122","layer":3},{"info":"⫏≰1210021⨓⫏≰1212111=⫏≰-1212121","layer":3},{"info":"⫏≰2000122/⫏≰-1212121=⫏≰-2","layer":2},{"info":"NaN⫡⨏⫏≰-2=NaN","layer":1},{"info":"⫏≰21001210⨸⪁⫏≰10022110=⫏≰202202110","layer":3},{"info":"⨵≀≌⫏≰202202110=⫏≰-2022021100","layer":2},{"info":"∂⫏≰11002010=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⫏≰-2022021100+NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":193,"expression_no_base_symbol":"((⊄⩳↩($5582$⫡⨏$3800$))+⇶⊼($4243$⊭↱$1989$)∼($7137$⊪))∼($4796$∀⇚≩$1157$⨐⩸⫘$2948$⇷$6200$*((⨵≀≌$2066$)/(⨑⩽⪐$1359$)))","expression":"((⊄⩳↩(⫏≰21122202⫡⨏⫏≰12012202))+⇶⊼(⫏≰12211011⊭↱⫏≰2201200)∼(⫏≰100210100⊪))∼(⫏≰20120122∀⇚≩⫏≰1120212⨐⩸⫘⫏≰11001012⇷⫏≰22111122*((⨵≀≌⫏≰2211112)/(⨑⩽⪐⫏≰1212100)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":189764,"operation_count":14,"complexity_ratio":13554.57142857143,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5582,"base":3},"right_expr":{"type":"numeric_atoms","value":3800,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4243,"base":3},"right_expr":{"type":"numeric_atoms","value":1989,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":7137,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4796,"base":3},"right_expr":{"type":"numeric_atoms","value":1157,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2948,"base":3},"right_expr":{"type":"numeric_atoms","value":6200,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2066,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1359,"base":3}}}}},"used_operators":["DyGG3AbaNP","TpPTUOHfaN","8w2t5hMYqp","QMFrweE19q","COABgblf1C","zVYPLywUTj","9HNa5Wba9A","fu6greOZ01","LRNGc0VcxI","mp7IySMOzn","XhwjNDsVaA","srAu1WTS94","AF7qkfDlqP"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","3ViojmjbAp","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5582","layer":4},{"info":"number node, value=3800","layer":4},{"info":"compute binary expreesion, left_input=5582, right_input=3800, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=36293","layer":3},{"info":"compute unary expreesion, input=36293, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-108879","layer":2},{"info":"number node, value=4243","layer":4},{"info":"number node, value=1989","layer":4},{"info":"compute binary expreesion, left_input=4243, right_input=1989, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4503","layer":3},{"info":"number node, value=7137","layer":4},{"info":"compute unary expreesion, input=7137, 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=-4503, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=-108879, right_input=20, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4796","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=4796, right_input=1157, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2948","layer":4},{"info":"number node, value=6200","layer":4},{"info":"compute binary expreesion, left_input=2948, right_input=6200, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12400","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12400, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6198","layer":3},{"info":"number node, value=1359","layer":4},{"info":"compute unary expreesion, input=1359, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1086","layer":3},{"info":"compute binary expreesion, left_input=-6198, right_input=-1086, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":3,"result_base":3,"text":"((⊄⩳↩(⫏≰21122202⫡⨏⫏≰12012202))+⇶⊼(⫏≰12211011⊭↱⫏≰2201200)∼(⫏≰100210100⊪))∼(⫏≰20120122∀⇚≩⫏≰1120212⨐⩸⫘⫏≰11001012⇷⫏≰22111122*((⨵≀≌⫏≰2211112)/(⨑⩽⪐⫏≰1212100)))=NaN","reverse_text":"NaN=((⊄⩳↩(⫏≰21122202⫡⨏⫏≰12012202))+⇶⊼(⫏≰12211011⊭↱⫏≰2201200)∼(⫏≰100210100⊪))∼(⫏≰20120122∀⇚≩⫏≰1120212⨐⩸⫘⫏≰11001012⇷⫏≰22111122*((⨵≀≌⫏≰2211112)/(⨑⩽⪐⫏≰1212100)))","cot":[{"info":"⫏≰21122202⫡⨏⫏≰12012202=⫏≰1211210012","layer":3},{"info":"⊄⩳↩⫏≰1211210012=⫏≰-12112100120","layer":2},{"info":"⫏≰12211011⊭↱⫏≰2201200=⫏≰-20011210","layer":3},{"info":"⫏≰100210100⊪=⫏≰0","layer":3},{"info":"⫏≰-20011210∼⫏≰0=⫏≰202","layer":2},{"info":"⫏≰-12112100120+⇶⊼⫏≰202=NaN","layer":1},{"info":"⫏≰20120122∀⇚≩⫏≰1120212=NaN","layer":3},{"info":"⫏≰11001012⇷⫏≰22111122=⫏≰122000021","layer":3},{"info":"NaN⨐⩸⫘⫏≰122000021=NaN","layer":2},{"info":"⨵≀≌⫏≰2211112=⫏≰-22111120","layer":3},{"info":"⨑⩽⪐⫏≰1212100=⫏≰-1111020","layer":3},{"info":"⫏≰-22111120/⫏≰-1111020=⫏≰12","layer":2},{"info":"NaN*⫏≰12=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":194,"expression_no_base_symbol":"($2390$⪮%⊝$2134$⨰($2462$%$1880$)⋫)∀⇚≩((⇁⨣⪵(⨰⫟⨤$2074$))⋥≓≎($3421$⨁⊸⫻)⊴($1652$-$5538$))","expression":"(⫏≰10021112⪮%⊝⫏≰2221001⨰(⫏≰10101012%⫏≰2120122)⋫)∀⇚≩((⇁⨣⪵(⨰⫟⨤⫏≰2211211))⋥≓≎(⫏≰11200201⨁⊸⫻)⊴(⫏≰2021012-⫏≰21121010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":53457,"operation_count":11,"complexity_ratio":4859.727272727273,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2390,"base":3},"right_expr":{"type":"numeric_atoms","value":2134,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2462,"base":3},"right_expr":{"type":"numeric_atoms","value":1880,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2074,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3421,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1652,"base":3},"right_expr":{"type":"numeric_atoms","value":5538,"base":3}}}}},"used_operators":["LRNGc0VcxI","JL8yIekQnl","eewbuw0ToL","IWmyXbctLI","k8jYdgA6NY","Qy55tPpLXF","inkyxCbjAn","Tw270M8GLb","Nsiff2A1zJ","glklzrTFfD","rysDP5nf3Z"],"dependent_operators":["X99M06cbEe","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2390","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=2390, right_input=2134, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5096","layer":3},{"info":"number node, value=2462","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=2462, right_input=1880, op_id = k8jYdgA6NY binary_op_definition= 'None', output=582","layer":3},{"info":"compute binary expreesion, left_input=5096, right_input=582, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4524","layer":2},{"info":"compute unary expreesion, input=4524, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4524","layer":1},{"info":"number node, value=2074","layer":4},{"info":"compute unary expreesion, input=2074, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3421","layer":4},{"info":"compute unary expreesion, input=3421, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3421","layer":3},{"info":"number node, value=1652","layer":4},{"info":"number node, value=5538","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=5538, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3886","layer":3},{"info":"compute binary expreesion, left_input=3421, right_input=-3886, 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 = 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=4524, right_input=67, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":3,"result_base":3,"text":"(⫏≰10021112⪮%⊝⫏≰2221001⨰(⫏≰10101012%⫏≰2120122)⋫)∀⇚≩((⇁⨣⪵(⨰⫟⨤⫏≰2211211))⋥≓≎(⫏≰11200201⨁⊸⫻)⊴(⫏≰2021012-⫏≰21121010))=NaN","reverse_text":"NaN=(⫏≰10021112⪮%⊝⫏≰2221001⨰(⫏≰10101012%⫏≰2120122)⋫)∀⇚≩((⇁⨣⪵(⨰⫟⨤⫏≰2211211))⋥≓≎(⫏≰11200201⨁⊸⫻)⊴(⫏≰2021012-⫏≰21121010))","cot":[{"info":"⫏≰10021112⪮%⊝⫏≰2221001=⫏≰20222202","layer":3},{"info":"⫏≰10101012%⫏≰2120122=⫏≰210120","layer":3},{"info":"⫏≰20222202⨰⫏≰210120=⫏≰20012120","layer":2},{"info":"⫏≰20012120⋫=⫏≰20012120","layer":1},{"info":"⨰⫟⨤⫏≰2211211=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⫏≰11200201⨁⊸⫻=⫏≰11200201","layer":3},{"info":"⫏≰2021012-⫏≰21121010=⫏≰-12022221","layer":3},{"info":"⫏≰11200201⊴⫏≰-12022221=NaN","layer":2},{"info":"NaN⋥≓≎NaN=⫏≰2111","layer":1},{"info":"⫏≰20012120∀⇚≩⫏≰2111=NaN","layer":0}]}
{"id":195,"expression_no_base_symbol":"(((≉$2211$)≹⇙⪍(⩦⩻⨪$1878$))∧)⇷(($1677$↙$5371$)⋝⋈⪟$6058$⇷$3209$≭((⨈⫕$6720$)⨵⪆(↩$2794$)))","expression":"(((≉⫏≰10000220)≹⇙⪍(⩦⩻⨪⫏≰2120120))∧)⇷((⫏≰2022010↙⫏≰21100221)⋝⋈⪟⫏≰22022101⇷⫏≰11101212≭((⨈⫕⫏≰100012220)⨵⪆(↩⫏≰10211111)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":90620,"operation_count":12,"complexity_ratio":7551.666666666667,"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":2211,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1878,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1677,"base":3},"right_expr":{"type":"numeric_atoms","value":5371,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6058,"base":3},"right_expr":{"type":"numeric_atoms","value":3209,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6720,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2794,"base":3}}}}},"used_operators":["mp7IySMOzn","z63VuFQld9","AHs5Up7iyr","e1ybzncUwg","2td37pGCOC","rxpJgHHUmx","2DDjHMKMc0","yyfyN0ffXY","2DQ55sFlQl","megm06wKyl","jLgFTUHLKL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2211","layer":4},{"info":"compute unary expreesion, input=2211, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2742","layer":3},{"info":"number node, value=1878","layer":4},{"info":"compute unary expreesion, input=1878, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1878","layer":3},{"info":"compute binary expreesion, left_input=2742, right_input=1878, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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=1677","layer":4},{"info":"number node, value=5371","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=5371, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16113","layer":3},{"info":"number node, value=6058","layer":4},{"info":"number node, value=3209","layer":4},{"info":"compute binary expreesion, left_input=6058, right_input=3209, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6418","layer":3},{"info":"compute binary expreesion, left_input=-16113, right_input=6418, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-16113","layer":2},{"info":"number node, value=6720","layer":4},{"info":"compute unary expreesion, input=6720, 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=2794","layer":4},{"info":"compute unary expreesion, input=2794, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-19572","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-19572, 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=-16113, 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":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":3,"result_base":3,"text":"(((≉⫏≰10000220)≹⇙⪍(⩦⩻⨪⫏≰2120120))∧)⇷((⫏≰2022010↙⫏≰21100221)⋝⋈⪟⫏≰22022101⇷⫏≰11101212≭((⨈⫕⫏≰100012220)⨵⪆(↩⫏≰10211111)))=NaN","reverse_text":"NaN=(((≉⫏≰10000220)≹⇙⪍(⩦⩻⨪⫏≰2120120))∧)⇷((⫏≰2022010↙⫏≰21100221)⋝⋈⪟⫏≰22022101⇷⫏≰11101212≭((⨈⫕⫏≰100012220)⨵⪆(↩⫏≰10211111)))","cot":[{"info":"≉⫏≰10000220=⫏≰10202120","layer":3},{"info":"⩦⩻⨪⫏≰2120120=⫏≰2120120","layer":3},{"info":"⫏≰10202120≹⇙⪍⫏≰2120120=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⫏≰2022010↙⫏≰21100221=⫏≰-211002210","layer":3},{"info":"⫏≰22022101⇷⫏≰11101212=⫏≰22210201","layer":3},{"info":"⫏≰-211002210⋝⋈⪟⫏≰22210201=⫏≰-211002210","layer":2},{"info":"⨈⫕⫏≰100012220=⫏≰-210","layer":3},{"info":"↩⫏≰10211111=⫏≰-222211220","layer":3},{"info":"⫏≰-210⨵⪆⫏≰-222211220=⫏≰12221","layer":2},{"info":"⫏≰-211002210≭⫏≰12221=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":196,"expression_no_base_symbol":"↯⪼(($8039$∀⇚≩$1793$⋥≓≎($1041$≫≃))⪛(($3805$⨸⪁$1065$)↙$1053$↬$1054$))","expression":"↯⪼((⫏≰102000202∀⇚≩⫏≰2110102⋥≓≎(⫏≰1102120≫≃))⪛((⫏≰12012221⨸⪁⫏≰1110110)↙⫏≰1110000↬⫏≰1110001))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":56325,"operation_count":8,"complexity_ratio":7040.625,"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":8039,"base":3},"right_expr":{"type":"numeric_atoms","value":1793,"base":3}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1041,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3805,"base":3},"right_expr":{"type":"numeric_atoms","value":1065,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1053,"base":3},"right_expr":{"type":"numeric_atoms","value":1054,"base":3}}}}},"used_operators":["8jW3W4yZS5","uFcxV4UQCh","Qy55tPpLXF","LRNGc0VcxI","X99M06cbEe","yyfyN0ffXY","g55IO6H4Gj","B5M0gjZbta"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8039","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=8039, right_input=1793, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3483","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3483, 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=3805","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=3805, right_input=1065, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9740","layer":3},{"info":"number node, value=1053","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=1054, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=9740, right_input=nan, 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=67, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":3,"result_base":3,"text":"↯⪼((⫏≰102000202∀⇚≩⫏≰2110102⋥≓≎(⫏≰1102120≫≃))⪛((⫏≰12012221⨸⪁⫏≰1110110)↙⫏≰1110000↬⫏≰1110001))=⫏≰-210","reverse_text":"⫏≰-210=↯⪼((⫏≰102000202∀⇚≩⫏≰2110102⋥≓≎(⫏≰1102120≫≃))⪛((⫏≰12012221⨸⪁⫏≰1110110)↙⫏≰1110000↬⫏≰1110001))","cot":[{"info":"⫏≰102000202∀⇚≩⫏≰2110102=NaN","layer":3},{"info":"⫏≰1102120≫≃=⫏≰11210000","layer":3},{"info":"NaN⋥≓≎⫏≰11210000=⫏≰2111","layer":2},{"info":"⫏≰12012221⨸⪁⫏≰1110110=⫏≰111100202","layer":3},{"info":"⫏≰1110000↬⫏≰1110001=NaN","layer":3},{"info":"⫏≰111100202↙NaN=NaN","layer":2},{"info":"⫏≰2111⪛NaN=NaN","layer":1},{"info":"↯⪼NaN=⫏≰-210","layer":0}]}
{"id":197,"expression_no_base_symbol":"⨞⊢($2677$⋓$2303$⋳⪒$1789$≹⇙⪍$1376$⨵⪆(⪝⪂⫅($1371$*$1686$)))","expression":"⨞⊢(⫏≰10200011⋓⫏≰10011022⋳⪒⫏≰2110021≹⇙⪍⫏≰1212222⨵⪆(⪝⪂⫅(⫏≰1212210*⫏≰2022110)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1545,"operation_count":7,"complexity_ratio":220.71428571428572,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2677,"base":3},"right_expr":{"type":"numeric_atoms","value":2303,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1789,"base":3},"right_expr":{"type":"numeric_atoms","value":1376,"base":3}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1371,"base":3},"right_expr":{"type":"numeric_atoms","value":1686,"base":3}}}}},"used_operators":["xUOZtlo3hN","2DQ55sFlQl","12rbrZMWeM","T2fj7uvVaJ","AHs5Up7iyr","XTarYq4gQB","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe"],"result":"⫏≰-110101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2677","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=2677, right_input=2303, op_id = T2fj7uvVaJ 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=1789","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=1376, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1371","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=1686, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2311506","layer":3},{"info":"compute unary expreesion, input=2311506, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-339791382","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-339791382, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-334","layer":0}],"base":3,"result_base":3,"text":"⨞⊢(⫏≰10200011⋓⫏≰10011022⋳⪒⫏≰2110021≹⇙⪍⫏≰1212222⨵⪆(⪝⪂⫅(⫏≰1212210*⫏≰2022110)))=⫏≰-110101","reverse_text":"⫏≰-110101=⨞⊢(⫏≰10200011⋓⫏≰10011022⋳⪒⫏≰2110021≹⇙⪍⫏≰1212222⨵⪆(⪝⪂⫅(⫏≰1212210*⫏≰2022110)))","cot":[{"info":"⫏≰10200011⋓⫏≰10011022=⫏≰0","layer":3},{"info":"⫏≰2110021≹⇙⪍⫏≰1212222=NaN","layer":3},{"info":"⫏≰0⋳⪒NaN=NaN","layer":2},{"info":"⫏≰1212210*⫏≰2022110=⫏≰11100102210100","layer":3},{"info":"⪝⪂⫅⫏≰11100102210100=⫏≰-212200101012011000","layer":2},{"info":"NaN⨵⪆⫏≰-212200101012011000=⫏≰12221","layer":1},{"info":"⨞⊢⫏≰12221=⫏≰-110101","layer":0}]}
{"id":198,"expression_no_base_symbol":"(⊙↵-(($4177$⪠⩆⊳)⫸⊐($1923$⨸⪁$1548$)))⇼⇔∾$5494$⨎$1660$↙($5346$/$1217$)↺($3142$⨟⋌⩍$2917$⩠)","expression":"(⊙↵-((⫏≰12201201⪠⩆⊳)⫸⊐(⫏≰2122020⨸⪁⫏≰2010100)))⇼⇔∾⫏≰21112111⨎⫏≰2021111↙(⫏≰21100000/⫏≰1200002)↺(⫏≰11022101⨟⋌⩍⫏≰11000001⩠)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":75,"operation_count":11,"complexity_ratio":6.818181818181818,"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":4177,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1923,"base":3},"right_expr":{"type":"numeric_atoms","value":1548,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5494,"base":3},"right_expr":{"type":"numeric_atoms","value":1660,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5346,"base":3},"right_expr":{"type":"numeric_atoms","value":1217,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3142,"base":3},"right_expr":{"type":"numeric_atoms","value":2917,"base":3}}}}},"used_operators":["tifHPKVTfV","oWn0xqSxBt","mqXw5SEYmG","JLbD19bQDL","g55IO6H4Gj","7j4O788W3g","yyfyN0ffXY","rJVOvQCfKK","XhwjNDsVaA","sJAwomhLZr","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4177","layer":4},{"info":"compute unary expreesion, input=4177, 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=1923","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=1548, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6942","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6942, 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 unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=5494","layer":4},{"info":"number node, value=1660","layer":4},{"info":"compute binary expreesion, left_input=5494, right_input=1660, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1660","layer":3},{"info":"number node, value=5346","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=5346, right_input=1217, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"compute binary expreesion, left_input=1660, right_input=4, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12","layer":2},{"info":"number node, value=3142","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=3142, right_input=2917, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-12, 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=0, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊙↵-((⫏≰12201201⪠⩆⊳)⫸⊐(⫏≰2122020⨸⪁⫏≰2010100)))⇼⇔∾⫏≰21112111⨎⫏≰2021111↙(⫏≰21100000/⫏≰1200002)↺(⫏≰11022101⨟⋌⩍⫏≰11000001⩠)=NaN","reverse_text":"NaN=(⊙↵-((⫏≰12201201⪠⩆⊳)⫸⊐(⫏≰2122020⨸⪁⫏≰2010100)))⇼⇔∾⫏≰21112111⨎⫏≰2021111↙(⫏≰21100000/⫏≰1200002)↺(⫏≰11022101⨟⋌⩍⫏≰11000001⩠)","cot":[{"info":"⫏≰12201201⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰2122020⨸⪁⫏≰2010100=⫏≰100112010","layer":3},{"info":"⫏≰0⫸⊐⫏≰100112010=⫏≰0","layer":2},{"info":"⊙↵-⫏≰0=⫏≰0","layer":1},{"info":"⫏≰21112111⨎⫏≰2021111=⫏≰2021111","layer":3},{"info":"⫏≰21100000/⫏≰1200002=⫏≰11","layer":3},{"info":"⫏≰2021111↙⫏≰11=⫏≰-110","layer":2},{"info":"⫏≰11022101⨟⋌⩍⫏≰11000001=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"⫏≰-110↺NaN=NaN","layer":1},{"info":"⫏≰0⇼⇔∾NaN=NaN","layer":0}]}
{"id":199,"expression_no_base_symbol":"(($2367$⪒$3433$)⊭↱$1797$⩚⊴⇥$2934$)∼($2450$⪢$1491$⋝⋈⪟$1663$⨓$2359$)↙(↥$2057$)⋝⋈⪟(⊥$3756$)⩷∴$1045$⪛$2361$⪘⫢($3466$≎⊠⪸$2916$)","expression":"((⫏≰10020200⪒⫏≰11201011)⊭↱⫏≰2110120⩚⊴⇥⫏≰11000200)∼(⫏≰10100202⪢⫏≰2001020⋝⋈⪟⫏≰2021121⨓⫏≰10020101)↙(↥⫏≰2211012)⋝⋈⪟(⊥⫏≰12011010)⩷∴⫏≰1102201⪛⫏≰10020110⪘⫢(⫏≰11202101≎⊠⪸⫏≰11000000)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4295,"operation_count":15,"complexity_ratio":286.3333333333333,"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":2367,"base":3},"right_expr":{"type":"numeric_atoms","value":3433,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1797,"base":3},"right_expr":{"type":"numeric_atoms","value":2934,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2450,"base":3},"right_expr":{"type":"numeric_atoms","value":1491,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1663,"base":3},"right_expr":{"type":"numeric_atoms","value":2359,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2057,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3756,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1045,"base":3},"right_expr":{"type":"numeric_atoms","value":2361,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3466,"base":3},"right_expr":{"type":"numeric_atoms","value":2916,"base":3}}}}},"used_operators":["yyfyN0ffXY","DyGG3AbaNP","COABgblf1C","f6k1SAg4EE","NTOWxs364D","2DDjHMKMc0","dWAJyo7jo9","3ViojmjbAp","9FxExcQeMw","A8NUZmVepG","Q3PJZHRvZv","oacrs7FA3X","uFcxV4UQCh","bJkvcejdHO"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","k8jYdgA6NY","fu6greOZ01","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2367","layer":4},{"info":"number node, value=3433","layer":4},{"info":"compute binary expreesion, left_input=2367, right_input=3433, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5800","layer":3},{"info":"number node, value=1797","layer":4},{"info":"number node, value=2934","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=2934, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4852","layer":3},{"info":"compute binary expreesion, left_input=-5800, right_input=-4852, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1901","layer":2},{"info":"number node, value=2450","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=2450, right_input=1491, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1663","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=2359, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2362","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2362, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1901, 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=2057","layer":4},{"info":"compute unary expreesion, input=2057, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":3},{"info":"number node, value=3756","layer":4},{"info":"compute unary expreesion, input=3756, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=17, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1045","layer":4},{"info":"number node, value=2361","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=2361, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1045","layer":3},{"info":"number node, value=3466","layer":4},{"info":"number node, value=2916","layer":4},{"info":"compute binary expreesion, left_input=3466, right_input=2916, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=897221","layer":3},{"info":"compute binary expreesion, left_input=1045, right_input=897221, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1966","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1966, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10020200⪒⫏≰11201011)⊭↱⫏≰2110120⩚⊴⇥⫏≰11000200)∼(⫏≰10100202⪢⫏≰2001020⋝⋈⪟⫏≰2021121⨓⫏≰10020101)↙(↥⫏≰2211012)⋝⋈⪟(⊥⫏≰12011010)⩷∴⫏≰1102201⪛⫏≰10020110⪘⫢(⫏≰11202101≎⊠⪸⫏≰11000000)=NaN","reverse_text":"NaN=((⫏≰10020200⪒⫏≰11201011)⊭↱⫏≰2110120⩚⊴⇥⫏≰11000200)∼(⫏≰10100202⪢⫏≰2001020⋝⋈⪟⫏≰2021121⨓⫏≰10020101)↙(↥⫏≰2211012)⋝⋈⪟(⊥⫏≰12011010)⩷∴⫏≰1102201⪛⫏≰10020110⪘⫢(⫏≰11202101≎⊠⪸⫏≰11000000)","cot":[{"info":"⫏≰10020200⪒⫏≰11201011=⫏≰-21221211","layer":3},{"info":"⫏≰2110120⩚⊴⇥⫏≰11000200=⫏≰-20122201","layer":3},{"info":"⫏≰-21221211⊭↱⫏≰-20122201=⫏≰2121102","layer":2},{"info":"⫏≰10100202⪢⫏≰2001020=NaN","layer":3},{"info":"⫏≰2021121⨓⫏≰10020101=⫏≰-10020111","layer":3},{"info":"NaN⋝⋈⪟⫏≰-10020111=NaN","layer":2},{"info":"⫏≰2121102∼NaN=NaN","layer":1},{"info":"↥⫏≰2211012=⫏≰122","layer":3},{"info":"⊥⫏≰12011010=NaN","layer":3},{"info":"⫏≰122⋝⋈⪟NaN=NaN","layer":2},{"info":"⫏≰1102201⪛⫏≰10020110=⫏≰1102201","layer":3},{"info":"⫏≰11202101≎⊠⪸⫏≰11000000=⫏≰1200120202102","layer":3},{"info":"⫏≰1102201⪘⫢⫏≰1200120202102=⫏≰2200211","layer":2},{"info":"NaN⩷∴⫏≰2200211=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":200,"expression_no_base_symbol":"($3809$⪘⫢$2385$⇼⇔∾(⪲⇎$1002$)↪⪝)⋷(⨰⫟⨤$3134$⇷$1165$)⫥∨⫟(∥⊫($3060$≣⋋))","expression":"(⫏≰12020002⪘⫢⫏≰10021100⇼⇔∾(⪲⇎⫏≰1101010)↪⪝)⋷(⨰⫟⨤⫏≰11022002⇷⫏≰1121011)⫥∨⫟(∥⊫(⫏≰11012100≣⋋))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":53755,"operation_count":10,"complexity_ratio":5375.5,"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":3809,"base":3},"right_expr":{"type":"numeric_atoms","value":2385,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1002,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3134,"base":3},"right_expr":{"type":"numeric_atoms","value":1165,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3060,"base":3}}}}},"used_operators":["23Mk6UjR3U","l07mrZUIn9","tifHPKVTfV","oacrs7FA3X","XPYlsWDdGa","KYD54nUTWz","Tw270M8GLb","mp7IySMOzn","P8v4zCKN1o","Tcnh7f0tEr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫏≰1201211001212200000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3809","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=3809, right_input=2385, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7494","layer":3},{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2004","layer":3},{"info":"compute binary expreesion, left_input=7494, right_input=2004, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5490","layer":2},{"info":"compute unary expreesion, input=-5490, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-335889180","layer":1},{"info":"number node, value=3134","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=1165, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2330","layer":3},{"info":"compute unary expreesion, input=2330, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=3060","layer":4},{"info":"compute unary expreesion, input=3060, 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 = 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-335889180, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=671778360","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12020002⪘⫢⫏≰10021100⇼⇔∾(⪲⇎⫏≰1101010)↪⪝)⋷(⨰⫟⨤⫏≰11022002⇷⫏≰1121011)⫥∨⫟(∥⊫(⫏≰11012100≣⋋))=⫏≰1201211001212200000","reverse_text":"⫏≰1201211001212200000=(⫏≰12020002⪘⫢⫏≰10021100⇼⇔∾(⪲⇎⫏≰1101010)↪⪝)⋷(⨰⫟⨤⫏≰11022002⇷⫏≰1121011)⫥∨⫟(∥⊫(⫏≰11012100≣⋋))","cot":[{"info":"⫏≰12020002⪘⫢⫏≰10021100=⫏≰101021120","layer":3},{"info":"⪲⇎⫏≰1101010=⫏≰2202020","layer":3},{"info":"⫏≰101021120⇼⇔∾⫏≰2202020=⫏≰-21112100","layer":2},{"info":"⫏≰-21112100↪⪝=⫏≰-212102000221100000","layer":1},{"info":"⫏≰11022002⇷⫏≰1121011=⫏≰10012022","layer":3},{"info":"⨰⫟⨤⫏≰10012022=NaN","layer":2},{"info":"⫏≰11012100≣⋋=⫏≰0","layer":3},{"info":"∥⊫⫏≰0=⫏≰1012011","layer":2},{"info":"NaN⫥∨⫟⫏≰1012011=NaN","layer":1},{"info":"⫏≰-212102000221100000⋷NaN=⫏≰1201211001212200000","layer":0}]}
{"id":201,"expression_no_base_symbol":"($8029$+$3649$⫡⨏$3163$⊉≛↸$4501$)≎⊠⪸$2806$⪘⫢$5333$∑⇟⊟(⫓⪴$1668$)⨐⩸⫘(≤/($4342$⨳⩥⨓$1298$∲⫓($1454$⩠)))","expression":"(⫏≰102000101+⫏≰12000011⫡⨏⫏≰11100011⊉≛↸⫏≰20011201)≎⊠⪸⫏≰10211221⪘⫢⫏≰21022112∑⇟⊟(⫓⪴⫏≰2021210)⨐⩸⫘(≤/(⫏≰12221211⨳⩥⨓⫏≰1210002∲⫓(⫏≰1222212⩠)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1729,"operation_count":12,"complexity_ratio":144.08333333333334,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":8029,"base":3},"right_expr":{"type":"numeric_atoms","value":3649,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3163,"base":3},"right_expr":{"type":"numeric_atoms","value":4501,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2806,"base":3},"right_expr":{"type":"numeric_atoms","value":5333,"base":3}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1668,"base":3}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4342,"base":3},"right_expr":{"type":"numeric_atoms","value":1298,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1454,"base":3}}}}},"used_operators":["fu6greOZ01","bJkvcejdHO","QMFrweE19q","W4YGzv6Whe","DZ8iAZOCBD","U7g4x0WXJJ","oacrs7FA3X","eLxqMNBOBk","eLAdDNolq6","i8ToyICDmI","nCS4ZIUYfx","sJAwomhLZr"],"dependent_operators":["3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8029","layer":4},{"info":"number node, value=3649","layer":4},{"info":"compute binary expreesion, left_input=8029, right_input=3649, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11678","layer":3},{"info":"number node, value=3163","layer":4},{"info":"number node, value=4501","layer":4},{"info":"compute binary expreesion, left_input=3163, right_input=4501, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6326","layer":3},{"info":"compute binary expreesion, left_input=11678, right_input=6326, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=71825","layer":2},{"info":"number node, value=2806","layer":4},{"info":"number node, value=5333","layer":4},{"info":"compute binary expreesion, left_input=2806, right_input=5333, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5488","layer":3},{"info":"number node, value=1668","layer":4},{"info":"compute unary expreesion, input=1668, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2782224","layer":3},{"info":"compute binary expreesion, left_input=5488, right_input=2782224, 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=71825, 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=4342","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=4342, right_input=1298, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3044","layer":3},{"info":"number node, value=1454","layer":4},{"info":"compute unary expreesion, input=1454, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3044, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-3044","layer":2},{"info":"compute unary expreesion, input=-3044, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=3528","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=3528, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":3,"result_base":3,"text":"(⫏≰102000101+⫏≰12000011⫡⨏⫏≰11100011⊉≛↸⫏≰20011201)≎⊠⪸⫏≰10211221⪘⫢⫏≰21022112∑⇟⊟(⫓⪴⫏≰2021210)⨐⩸⫘(≤/(⫏≰12221211⨳⩥⨓⫏≰1210002∲⫓(⫏≰1222212⩠)))=NaN","reverse_text":"NaN=(⫏≰102000101+⫏≰12000011⫡⨏⫏≰11100011⊉≛↸⫏≰20011201)≎⊠⪸⫏≰10211221⪘⫢⫏≰21022112∑⇟⊟(⫓⪴⫏≰2021210)⨐⩸⫘(≤/(⫏≰12221211⨳⩥⨓⫏≰1210002∲⫓(⫏≰1222212⩠)))","cot":[{"info":"⫏≰102000101+⫏≰12000011=⫏≰121000112","layer":3},{"info":"⫏≰11100011⊉≛↸⫏≰20011201=⫏≰22200022","layer":3},{"info":"⫏≰121000112⫡⨏⫏≰22200022=⫏≰10122112012","layer":2},{"info":"⫏≰10211221⪘⫢⫏≰21022112=⫏≰21112021","layer":3},{"info":"⫓⪴⫏≰2021210=⫏≰12020100111100","layer":3},{"info":"⫏≰21112021∑⇟⊟⫏≰12020100111100=NaN","layer":2},{"info":"⫏≰10122112012≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"⫏≰12221211⨳⩥⨓⫏≰1210002=⫏≰-11011202","layer":3},{"info":"⫏≰1222212⩠=⫏≰0","layer":3},{"info":"⫏≰-11011202∲⫓⫏≰0=⫏≰-11011202","layer":2},{"info":"≤/⫏≰-11011202=⫏≰11211200","layer":1},{"info":"⫏≰2111⨐⩸⫘⫏≰11211200=NaN","layer":0}]}
{"id":202,"expression_no_base_symbol":"($1077$↺$3133$)∀⇚≩$1347$⪘⫢$2769$⨳⩥⨓($3542$⋥≓≎$1278$⪐)⨵⪆(⊄⩳↩((≤/$4386$)⋝⋈⪟($6199$⊪)))","expression":"(⫏≰1110220↺⫏≰11022001)∀⇚≩⫏≰1211220⪘⫢⫏≰10210120⨳⩥⨓(⫏≰11212012⋥≓≎⫏≰1202100⪐)⨵⪆(⊄⩳↩((≤/⫏≰20000110)⋝⋈⪟(⫏≰22111121⊪)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21998,"operation_count":11,"complexity_ratio":1999.8181818181818,"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":1077,"base":3},"right_expr":{"type":"numeric_atoms","value":3133,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1347,"base":3},"right_expr":{"type":"numeric_atoms","value":2769,"base":3}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3542,"base":3},"right_expr":{"type":"numeric_atoms","value":1278,"base":3}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4386,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6199,"base":3}}}}},"used_operators":["2DQ55sFlQl","nCS4ZIUYfx","LRNGc0VcxI","7j4O788W3g","oacrs7FA3X","eH2TOUuTDT","Qy55tPpLXF","8w2t5hMYqp","2DDjHMKMc0","eLAdDNolq6","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1077","layer":4},{"info":"number node, value=3133","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=3133, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3133","layer":3},{"info":"number node, value=1347","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=2769, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2570","layer":3},{"info":"compute binary expreesion, left_input=3133, right_input=2570, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3542","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=3542, right_input=1278, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-953","layer":3},{"info":"compute unary expreesion, input=-953, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-1906","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1906, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=4386","layer":4},{"info":"compute unary expreesion, input=4386, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3902","layer":3},{"info":"number node, value=6199","layer":4},{"info":"compute unary expreesion, input=6199, 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=-3902, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-3902","layer":2},{"info":"compute unary expreesion, input=-3902, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=11706","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11706, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1110220↺⫏≰11022001)∀⇚≩⫏≰1211220⪘⫢⫏≰10210120⨳⩥⨓(⫏≰11212012⋥≓≎⫏≰1202100⪐)⨵⪆(⊄⩳↩((≤/⫏≰20000110)⋝⋈⪟(⫏≰22111121⊪)))=⫏≰12221","reverse_text":"⫏≰12221=(⫏≰1110220↺⫏≰11022001)∀⇚≩⫏≰1211220⪘⫢⫏≰10210120⨳⩥⨓(⫏≰11212012⋥≓≎⫏≰1202100⪐)⨵⪆(⊄⩳↩((≤/⫏≰20000110)⋝⋈⪟(⫏≰22111121⊪)))","cot":[{"info":"⫏≰1110220↺⫏≰11022001=⫏≰11022001","layer":3},{"info":"⫏≰1211220⪘⫢⫏≰10210120=⫏≰10112012","layer":3},{"info":"⫏≰11022001∀⇚≩⫏≰10112012=NaN","layer":2},{"info":"⫏≰11212012⋥≓≎⫏≰1202100=⫏≰-1022022","layer":3},{"info":"⫏≰-1022022⪐=⫏≰-2121121","layer":2},{"info":"NaN⨳⩥⨓⫏≰-2121121=NaN","layer":1},{"info":"≤/⫏≰20000110=⫏≰-12100112","layer":3},{"info":"⫏≰22111121⊪=⫏≰0","layer":3},{"info":"⫏≰-12100112⋝⋈⪟⫏≰0=⫏≰-12100112","layer":2},{"info":"⊄⩳↩⫏≰-12100112=⫏≰121001120","layer":1},{"info":"NaN⨵⪆⫏≰121001120=⫏≰12221","layer":0}]}
{"id":203,"expression_no_base_symbol":"($1368$⋓$3056$↺(⨰⫟⨤$5266$)/(∥⊫$2043$⨳⩥⨓$4047$))⪘⫢((⫓⪴($2523$/$1493$))⩤)","expression":"(⫏≰1212200⋓⫏≰11012012↺(⨰⫟⨤⫏≰21020001)/(∥⊫⫏≰2210200⨳⩥⨓⫏≰12112220))⪘⫢((⫓⪴(⫏≰10110110/⫏≰2001022))⩤)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":20259,"operation_count":10,"complexity_ratio":2025.9,"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":1368,"base":3},"right_expr":{"type":"numeric_atoms","value":3056,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5266,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2043,"base":3},"right_expr":{"type":"numeric_atoms","value":4047,"base":3}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2523,"base":3},"right_expr":{"type":"numeric_atoms","value":1493,"base":3}}}}},"used_operators":["oacrs7FA3X","XhwjNDsVaA","7j4O788W3g","T2fj7uvVaJ","Tw270M8GLb","P8v4zCKN1o","nCS4ZIUYfx","Z2TMIBDE3Q","eLxqMNBOBk"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1368","layer":4},{"info":"number node, value=3056","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=3056, op_id = T2fj7uvVaJ 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=5266","layer":4},{"info":"compute unary expreesion, input=5266, 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 = 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=2043","layer":4},{"info":"number node, value=4047","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=4047, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2004","layer":3},{"info":"compute unary expreesion, input=2004, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2872","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2872, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2523","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=1493, op_id = XhwjNDsVaA binary_op_definition= 'None', 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1212200⋓⫏≰11012012↺(⨰⫟⨤⫏≰21020001)/(∥⊫⫏≰2210200⨳⩥⨓⫏≰12112220))⪘⫢((⫓⪴(⫏≰10110110/⫏≰2001022))⩤)=NaN","reverse_text":"NaN=(⫏≰1212200⋓⫏≰11012012↺(⨰⫟⨤⫏≰21020001)/(∥⊫⫏≰2210200⨳⩥⨓⫏≰12112220))⪘⫢((⫓⪴(⫏≰10110110/⫏≰2001022))⩤)","cot":[{"info":"⫏≰1212200⋓⫏≰11012012=⫏≰0","layer":3},{"info":"⨰⫟⨤⫏≰21020001=NaN","layer":3},{"info":"⫏≰0↺NaN=NaN","layer":2},{"info":"⫏≰2210200⨳⩥⨓⫏≰12112220=⫏≰2202020","layer":3},{"info":"∥⊫⫏≰2202020=⫏≰10221101","layer":2},{"info":"NaN/⫏≰10221101=NaN","layer":1},{"info":"⫏≰10110110/⫏≰2001022=⫏≰1","layer":3},{"info":"⫓⪴⫏≰1=⫏≰1","layer":2},{"info":"⫏≰1⩤=⫏≰-1","layer":1},{"info":"NaN⪘⫢⫏≰-1=NaN","layer":0}]}
{"id":204,"expression_no_base_symbol":"((($1030$⨸⪁$3339$)↙$1002$≹⇙⪍$3155$)⊦⊿)⋝⋈⪟(($5346$⊦⊿)⪛($3636$⋝⋈⪟$3390$)≋⫹)","expression":"(((⫏≰1102011⨸⪁⫏≰11120200)↙⫏≰1101010≹⇙⪍⫏≰11022212)⊦⊿)⋝⋈⪟((⫏≰21100000⊦⊿)⪛(⫏≰11222200⋝⋈⪟⫏≰11122120)≋⫹)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":36,"operation_count":9,"complexity_ratio":4.0,"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":1030,"base":3},"right_expr":{"type":"numeric_atoms","value":3339,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1002,"base":3},"right_expr":{"type":"numeric_atoms","value":3155,"base":3}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":5346,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3636,"base":3},"right_expr":{"type":"numeric_atoms","value":3390,"base":3}}}}},"used_operators":["2DDjHMKMc0","14qkJME0vr","yyfyN0ffXY","g55IO6H4Gj","AHs5Up7iyr","N41Kp7NANJ","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":4},{"info":"number node, value=3339","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=3339, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8738","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=3155","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=3155, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=8738, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=5346","layer":4},{"info":"compute unary expreesion, input=5346, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-16117","layer":3},{"info":"number node, value=3636","layer":4},{"info":"number node, value=3390","layer":4},{"info":"compute binary expreesion, left_input=3636, right_input=3390, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3636","layer":3},{"info":"compute binary expreesion, left_input=-16117, right_input=3636, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2063","layer":2},{"info":"compute unary expreesion, input=2063, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4126","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4126, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1102011⨸⪁⫏≰11120200)↙⫏≰1101010≹⇙⪍⫏≰11022212)⊦⊿)⋝⋈⪟((⫏≰21100000⊦⊿)⪛(⫏≰11222200⋝⋈⪟⫏≰11122120)≋⫹)=NaN","reverse_text":"NaN=(((⫏≰1102011⨸⪁⫏≰11120200)↙⫏≰1101010≹⇙⪍⫏≰11022212)⊦⊿)⋝⋈⪟((⫏≰21100000⊦⊿)⪛(⫏≰11222200⋝⋈⪟⫏≰11122120)≋⫹)","cot":[{"info":"⫏≰1102011⨸⪁⫏≰11120200=⫏≰102222122","layer":3},{"info":"⫏≰1101010≹⇙⪍⫏≰11022212=NaN","layer":3},{"info":"⫏≰102222122↙NaN=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⫏≰21100000⊦⊿=⫏≰-211002221","layer":3},{"info":"⫏≰11222200⋝⋈⪟⫏≰11122120=⫏≰11222200","layer":3},{"info":"⫏≰-211002221⪛⫏≰11222200=⫏≰2211102","layer":2},{"info":"⫏≰2211102≋⫹=⫏≰-12122211","layer":1},{"info":"NaN⋝⋈⪟⫏≰-12122211=NaN","layer":0}]}
{"id":205,"expression_no_base_symbol":"($3409$⪮%⊝$4802$⋳⪒($2756$⨸⪁$2576$)↺$2477$⨪↰⇹$1091$⋝⋈⪟($1618$⋓$2913$))⊴(↩$1684$⩷∴$5154$⋓($8612$⩤))","expression":"(⫏≰11200021⪮%⊝⫏≰20120212⋳⪒(⫏≰10210002⨸⪁⫏≰10112102)↺⫏≰10101202⨪↰⇹⫏≰1111102⋝⋈⪟(⫏≰2012221⋓⫏≰10222220))⊴(↩⫏≰2022101⩷∴⫏≰21001220⋓(⫏≰102210222⩤))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7403,"operation_count":12,"complexity_ratio":616.9166666666666,"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":3409,"base":3},"right_expr":{"type":"numeric_atoms","value":4802,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2756,"base":3},"right_expr":{"type":"numeric_atoms","value":2576,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2477,"base":3},"right_expr":{"type":"numeric_atoms","value":1091,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1618,"base":3},"right_expr":{"type":"numeric_atoms","value":2913,"base":3}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1684,"base":3},"right_expr":{"type":"numeric_atoms","value":5154,"base":3}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":8612,"base":3}}}}},"used_operators":["Nsiff2A1zJ","7j4O788W3g","12rbrZMWeM","IWmyXbctLI","g55IO6H4Gj","2DDjHMKMc0","tmPS8pqC7x","T2fj7uvVaJ","jLgFTUHLKL","9FxExcQeMw","Z2TMIBDE3Q"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3409","layer":4},{"info":"number node, value=4802","layer":4},{"info":"compute binary expreesion, left_input=3409, right_input=4802, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7134","layer":3},{"info":"number node, value=2756","layer":4},{"info":"number node, value=2576","layer":4},{"info":"compute binary expreesion, left_input=2756, right_input=2576, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10664","layer":3},{"info":"compute binary expreesion, left_input=7134, right_input=10664, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3317","layer":2},{"info":"number node, value=2477","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=2477, right_input=1091, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2477","layer":3},{"info":"number node, value=1618","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=2913, op_id = T2fj7uvVaJ 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=2477, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2477","layer":2},{"info":"compute binary expreesion, left_input=3317, right_input=2477, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2477","layer":1},{"info":"number node, value=1684","layer":4},{"info":"number node, value=5154","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=5154, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6972","layer":3},{"info":"number node, value=8612","layer":4},{"info":"compute unary expreesion, input=8612, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-8612","layer":3},{"info":"compute binary expreesion, left_input=-6972, right_input=-8612, op_id = T2fj7uvVaJ 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":1},{"info":"compute binary expreesion, left_input=2477, right_input=4844, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11200021⪮%⊝⫏≰20120212⋳⪒(⫏≰10210002⨸⪁⫏≰10112102)↺⫏≰10101202⨪↰⇹⫏≰1111102⋝⋈⪟(⫏≰2012221⋓⫏≰10222220))⊴(↩⫏≰2022101⩷∴⫏≰21001220⋓(⫏≰102210222⩤))=NaN","reverse_text":"NaN=(⫏≰11200021⪮%⊝⫏≰20120212⋳⪒(⫏≰10210002⨸⪁⫏≰10112102)↺⫏≰10101202⨪↰⇹⫏≰1111102⋝⋈⪟(⫏≰2012221⋓⫏≰10222220))⊴(↩⫏≰2022101⩷∴⫏≰21001220⋓(⫏≰102210222⩤))","cot":[{"info":"⫏≰11200021⪮%⊝⫏≰20120212=⫏≰100210020","layer":3},{"info":"⫏≰10210002⨸⪁⫏≰10112102=⫏≰112121222","layer":3},{"info":"⫏≰100210020⋳⪒⫏≰112121222=⫏≰11112212","layer":2},{"info":"⫏≰10101202⨪↰⇹⫏≰1111102=⫏≰10101202","layer":3},{"info":"⫏≰2012221⋓⫏≰10222220=⫏≰0","layer":3},{"info":"⫏≰10101202⋝⋈⪟⫏≰0=⫏≰10101202","layer":2},{"info":"⫏≰11112212↺⫏≰10101202=⫏≰10101202","layer":1},{"info":"⫏≰2022101⩷∴⫏≰21001220=⫏≰-100120020","layer":3},{"info":"⫏≰102210222⩤=⫏≰-102210222","layer":3},{"info":"⫏≰-100120020⋓⫏≰-102210222=⫏≰0","layer":2},{"info":"↩⫏≰0=⫏≰20122102","layer":1},{"info":"⫏≰10101202⊴⫏≰20122102=NaN","layer":0}]}
{"id":206,"expression_no_base_symbol":"(+⊝⨔($2011$⨟⋌⩍$3441$⩚⊴⇥$1049$⨟⋌⩍$1417$))⊭↱(⫛⫱⨽($2840$/$1378$))⪘⫢($1516$⨳⩥⨓$3711$⨳⩥⨓$3429$⨪↰⇹$2128$)","expression":"(+⊝⨔(⫏≰2202111⨟⋌⩍⫏≰11201110⩚⊴⇥⫏≰1102212⨟⋌⩍⫏≰1221111))⊭↱(⫛⫱⨽(⫏≰10220012/⫏≰1220001))⪘⫢(⫏≰2002011⨳⩥⨓⫏≰12002110⨳⩥⨓⫏≰11201000⨪↰⇹⫏≰2220211)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4399,"operation_count":11,"complexity_ratio":399.90909090909093,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2011,"base":3},"right_expr":{"type":"numeric_atoms","value":3441,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1049,"base":3},"right_expr":{"type":"numeric_atoms","value":1417,"base":3}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2840,"base":3},"right_expr":{"type":"numeric_atoms","value":1378,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1516,"base":3},"right_expr":{"type":"numeric_atoms","value":3711,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3429,"base":3},"right_expr":{"type":"numeric_atoms","value":2128,"base":3}}}}},"used_operators":["COABgblf1C","DhbWaqg5eL","NTOWxs364D","rGHVDoGpnC","oacrs7FA3X","DlLNRPXxWL","XhwjNDsVaA","nCS4ZIUYfx","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK"],"result":"⫏≰-21100012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2011","layer":4},{"info":"number node, value=3441","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=3441, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1049","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1417, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = 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":"number node, value=2840","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=2840, right_input=1378, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1516","layer":4},{"info":"number node, value=3711","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=3711, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2195","layer":3},{"info":"number node, value=3429","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=3429, 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=3429","layer":3},{"info":"compute binary expreesion, left_input=2195, right_input=3429, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, 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":"compute binary expreesion, left_input=1522, right_input=-1156, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5351","layer":0}],"base":3,"result_base":3,"text":"(+⊝⨔(⫏≰2202111⨟⋌⩍⫏≰11201110⩚⊴⇥⫏≰1102212⨟⋌⩍⫏≰1221111))⊭↱(⫛⫱⨽(⫏≰10220012/⫏≰1220001))⪘⫢(⫏≰2002011⨳⩥⨓⫏≰12002110⨳⩥⨓⫏≰11201000⨪↰⇹⫏≰2220211)=⫏≰-21100012","reverse_text":"⫏≰-21100012=(+⊝⨔(⫏≰2202111⨟⋌⩍⫏≰11201110⩚⊴⇥⫏≰1102212⨟⋌⩍⫏≰1221111))⊭↱(⫛⫱⨽(⫏≰10220012/⫏≰1220001))⪘⫢(⫏≰2002011⨳⩥⨓⫏≰12002110⨳⩥⨓⫏≰11201000⨪↰⇹⫏≰2220211)","cot":[{"info":"⫏≰2202111⨟⋌⩍⫏≰11201110=NaN","layer":3},{"info":"⫏≰1102212⨟⋌⩍⫏≰1221111=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"+⊝⨔NaN=⫏≰2002101","layer":1},{"info":"⫏≰10220012/⫏≰1220001=⫏≰2","layer":3},{"info":"⫛⫱⨽⫏≰2=⫏≰0","layer":2},{"info":"⫏≰2002011⨳⩥⨓⫏≰12002110=⫏≰10000022","layer":3},{"info":"⫏≰11201000⨪↰⇹⫏≰2220211=⫏≰11201000","layer":3},{"info":"⫏≰10000022⨳⩥⨓⫏≰11201000=⫏≰1200201","layer":2},{"info":"⫏≰0⪘⫢⫏≰1200201=⫏≰-1120211","layer":1},{"info":"⫏≰2002101⊭↱⫏≰-1120211=⫏≰-21100012","layer":0}]}
{"id":207,"expression_no_base_symbol":"(≤/($1508$⫥∨⫟$2416$)⋓($3092$+$1926$))⊦⊿","expression":"(≤/(⫏≰2001212⫥∨⫟⫏≰10022111)⋓(⫏≰11020112+⫏≰2122100))⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":175,"operation_count":5,"complexity_ratio":35.0,"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":1508,"base":3},"right_expr":{"type":"numeric_atoms","value":2416,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3092,"base":3},"right_expr":{"type":"numeric_atoms","value":1926,"base":3}}}}},"used_operators":["14qkJME0vr","eLAdDNolq6","T2fj7uvVaJ","KYD54nUTWz","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫏≰-2002201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1508","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=2416, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3092","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=3092, right_input=1926, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5018","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5018, op_id = T2fj7uvVaJ 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":1},{"info":"compute unary expreesion, input=484, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-1531","layer":0}],"base":3,"result_base":3,"text":"(≤/(⫏≰2001212⫥∨⫟⫏≰10022111)⋓(⫏≰11020112+⫏≰2122100))⊦⊿=⫏≰-2002201","reverse_text":"⫏≰-2002201=(≤/(⫏≰2001212⫥∨⫟⫏≰10022111)⋓(⫏≰11020112+⫏≰2122100))⊦⊿","cot":[{"info":"⫏≰2001212⫥∨⫟⫏≰10022111=NaN","layer":3},{"info":"⫏≰11020112+⫏≰2122100=⫏≰20212212","layer":3},{"info":"NaN⋓⫏≰20212212=⫏≰0","layer":2},{"info":"≤/⫏≰0=⫏≰122221","layer":1},{"info":"⫏≰122221⊦⊿=⫏≰-2002201","layer":0}]}
{"id":208,"expression_no_base_symbol":"((+⊝⨔(⨵≀≌$2785$))⊭↱(⫛⫱⨽(≦∁$2290$)))⊘","expression":"((+⊝⨔(⨵≀≌⫏≰10211011))⊭↱(⫛⫱⨽(≦∁⫏≰10010211)))⊘","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1473,"operation_count":6,"complexity_ratio":245.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2785,"base":3}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2290,"base":3}}}}},"used_operators":["gu96TGCTMs","COABgblf1C","DhbWaqg5eL","srAu1WTS94","DlLNRPXxWL","9ICcGScMcE"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫏≰-1","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2785","layer":4},{"info":"compute unary expreesion, input=2785, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8355","layer":3},{"info":"compute unary expreesion, input=-8355, 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=2290","layer":4},{"info":"compute unary expreesion, input=2290, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2290","layer":3},{"info":"compute unary expreesion, input=2290, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3039","layer":1},{"info":"compute unary expreesion, input=-3039, 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":3,"result_base":3,"text":"((+⊝⨔(⨵≀≌⫏≰10211011))⊭↱(⫛⫱⨽(≦∁⫏≰10010211)))⊘=⫏≰-1","reverse_text":"⫏≰-1=((+⊝⨔(⨵≀≌⫏≰10211011))⊭↱(⫛⫱⨽(≦∁⫏≰10010211)))⊘","cot":[{"info":"⨵≀≌⫏≰10211011=⫏≰-102110110","layer":3},{"info":"+⊝⨔⫏≰-102110110=⫏≰2002101","layer":2},{"info":"≦∁⫏≰10010211=⫏≰10010211","layer":3},{"info":"⫛⫱⨽⫏≰10010211=⫏≰0","layer":2},{"info":"⫏≰2002101⊭↱⫏≰0=⫏≰-11011120","layer":1},{"info":"⫏≰-11011120⊘=⫏≰-1","layer":0}]}
{"id":209,"expression_no_base_symbol":"-(⪲⇎($2762$⨪↰⇹$1740$⨸⪁$2928$⊴$3234$))","expression":"-(⪲⇎(⫏≰10210022⨪↰⇹⫏≰2101110⨸⪁⫏≰11000110⊴⫏≰11102210))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6008,"operation_count":5,"complexity_ratio":1201.6,"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":2762,"base":3},"right_expr":{"type":"numeric_atoms","value":1740,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2928,"base":3},"right_expr":{"type":"numeric_atoms","value":3234,"base":3}}}}},"used_operators":["t8gj7n24qd","XPYlsWDdGa","g55IO6H4Gj","tmPS8pqC7x","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2762","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=2762, right_input=1740, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2762","layer":3},{"info":"number node, value=2928","layer":4},{"info":"number node, value=3234","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=3234, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2762, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"-(⪲⇎(⫏≰10210022⨪↰⇹⫏≰2101110⨸⪁⫏≰11000110⊴⫏≰11102210))=NaN","reverse_text":"NaN=-(⪲⇎(⫏≰10210022⨪↰⇹⫏≰2101110⨸⪁⫏≰11000110⊴⫏≰11102210))","cot":[{"info":"⫏≰10210022⨪↰⇹⫏≰2101110=⫏≰10210022","layer":3},{"info":"⫏≰11000110⊴⫏≰11102210=NaN","layer":3},{"info":"⫏≰10210022⨸⪁NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":210,"expression_no_base_symbol":"↔((⊙↵-$5005$)⋳⪒(↔$6746$)⪐)","expression":"↔((⊙↵-⫏≰20212101)⋳⪒(↔⫏≰100020212)⪐)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5074,"operation_count":5,"complexity_ratio":1014.8,"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":5005,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":6746,"base":3}}}}},"used_operators":["ruOEQAzv1W","eH2TOUuTDT","12rbrZMWeM","oWn0xqSxBt"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫏≰-121120222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5005","layer":4},{"info":"compute unary expreesion, input=5005, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=6746","layer":4},{"info":"compute unary expreesion, input=6746, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6473","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-6473, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6184","layer":2},{"info":"compute unary expreesion, input=6184, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=12368","layer":1},{"info":"compute unary expreesion, input=12368, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-12095","layer":0}],"base":3,"result_base":3,"text":"↔((⊙↵-⫏≰20212101)⋳⪒(↔⫏≰100020212)⪐)=⫏≰-121120222","reverse_text":"⫏≰-121120222=↔((⊙↵-⫏≰20212101)⋳⪒(↔⫏≰100020212)⪐)","cot":[{"info":"⊙↵-⫏≰20212101=⫏≰-1","layer":3},{"info":"↔⫏≰100020212=⫏≰-22212202","layer":3},{"info":"⫏≰-1⋳⪒⫏≰-22212202=⫏≰22111001","layer":2},{"info":"⫏≰22111001⪐=⫏≰121222002","layer":1},{"info":"↔⫏≰121222002=⫏≰-121120222","layer":0}]}
{"id":211,"expression_no_base_symbol":"≦∁(($2327$↺$3770$+$2589$⨐⩸⫘$4415$)⩠)","expression":"≦∁((⫏≰10012012↺⫏≰12011122+⫏≰10112220⨐⩸⫘⫏≰20001112)⩠)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":23,"operation_count":5,"complexity_ratio":4.6,"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":2327,"base":3},"right_expr":{"type":"numeric_atoms","value":3770,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2589,"base":3},"right_expr":{"type":"numeric_atoms","value":4415,"base":3}}}}},"used_operators":["9ICcGScMcE","sJAwomhLZr","W4YGzv6Whe","7j4O788W3g","fu6greOZ01"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2327","layer":4},{"info":"number node, value=3770","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=3770, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3770","layer":3},{"info":"number node, value=2589","layer":4},{"info":"number node, value=4415","layer":4},{"info":"compute binary expreesion, left_input=2589, right_input=4415, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3770, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', 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 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":3,"result_base":3,"text":"≦∁((⫏≰10012012↺⫏≰12011122+⫏≰10112220⨐⩸⫘⫏≰20001112)⩠)=NaN","reverse_text":"NaN=≦∁((⫏≰10012012↺⫏≰12011122+⫏≰10112220⨐⩸⫘⫏≰20001112)⩠)","cot":[{"info":"⫏≰10012012↺⫏≰12011122=⫏≰12011122","layer":3},{"info":"⫏≰10112220⨐⩸⫘⫏≰20001112=NaN","layer":3},{"info":"⫏≰12011122+NaN=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":212,"expression_no_base_symbol":"((↥$5966$⫥∨⫟$1566$)⇋≉)⪮%⊝((($4330$+$1072$)⩨(↯⪼$1579$))≣⋋)","expression":"((↥⫏≰22011222⫥∨⫟⫏≰2011000)⇋≉)⪮%⊝(((⫏≰12221101+⫏≰1110201)⩨(↯⪼⫏≰2011111))≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":209,"operation_count":8,"complexity_ratio":26.125,"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":5966,"base":3},"right_expr":{"type":"numeric_atoms","value":1566,"base":3}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4330,"base":3},"right_expr":{"type":"numeric_atoms","value":1072,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1579,"base":3}}}}},"used_operators":["IWmyXbctLI","XIabStNQrY","A8NUZmVepG","KYD54nUTWz","Tcnh7f0tEr","2DlMacCsIx","W4YGzv6Whe","8jW3W4yZS5"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=5966","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=5966, right_input=1566, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"number node, value=4330","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=4330, right_input=1072, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5402","layer":3},{"info":"number node, value=1579","layer":4},{"info":"compute unary expreesion, input=1579, 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=5402, right_input=-21, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↥⫏≰22011222⫥∨⫟⫏≰2011000)⇋≉)⪮%⊝(((⫏≰12221101+⫏≰1110201)⩨(↯⪼⫏≰2011111))≣⋋)=NaN","reverse_text":"NaN=((↥⫏≰22011222⫥∨⫟⫏≰2011000)⇋≉)⪮%⊝(((⫏≰12221101+⫏≰1110201)⩨(↯⪼⫏≰2011111))≣⋋)","cot":[{"info":"⫏≰22011222⫥∨⫟⫏≰2011000=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⫏≰12221101+⫏≰1110201=⫏≰21102002","layer":3},{"info":"↯⪼⫏≰2011111=⫏≰-210","layer":3},{"info":"⫏≰21102002⩨⫏≰-210=⫏≰10","layer":2},{"info":"⫏≰10≣⋋=⫏≰0","layer":1},{"info":"NaN⪮%⊝⫏≰0=NaN","layer":0}]}
{"id":213,"expression_no_base_symbol":"($2579$⩚⊴⇥$3168$⩚⊴⇥($5188$⨵⪆$2829$)⨽(↥$1049$⫥∨⫟$3313$))⊦⊿","expression":"(⫏≰10112112⩚⊴⇥⫏≰11100100⩚⊴⇥(⫏≰21010011⨵⪆⫏≰10212210)⨽(↥⫏≰1102212⫥∨⫟⫏≰11112201))⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5764,"operation_count":7,"complexity_ratio":823.4285714285714,"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":2579,"base":3},"right_expr":{"type":"numeric_atoms","value":3168,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5188,"base":3},"right_expr":{"type":"numeric_atoms","value":2829,"base":3}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1049,"base":3},"right_expr":{"type":"numeric_atoms","value":3313,"base":3}}}}},"used_operators":["14qkJME0vr","8HhzD0ZcuI","NTOWxs364D","2DQ55sFlQl","A8NUZmVepG","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2579","layer":4},{"info":"number node, value=3168","layer":4},{"info":"compute binary expreesion, left_input=2579, right_input=3168, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5868","layer":3},{"info":"number node, value=5188","layer":4},{"info":"number node, value=2829","layer":4},{"info":"compute binary expreesion, left_input=5188, right_input=2829, 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=-5868, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=5587","layer":2},{"info":"number node, value=1049","layer":4},{"info":"number node, value=3313","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=3313, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5587, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10112112⩚⊴⇥⫏≰11100100⩚⊴⇥(⫏≰21010011⨵⪆⫏≰10212210)⨽(↥⫏≰1102212⫥∨⫟⫏≰11112201))⊦⊿=NaN","reverse_text":"NaN=(⫏≰10112112⩚⊴⇥⫏≰11100100⩚⊴⇥(⫏≰21010011⨵⪆⫏≰10212210)⨽(↥⫏≰1102212⫥∨⫟⫏≰11112201))⊦⊿","cot":[{"info":"⫏≰10112112⩚⊴⇥⫏≰11100100=⫏≰-22001100","layer":3},{"info":"⫏≰21010011⨵⪆⫏≰10212210=⫏≰12221","layer":3},{"info":"⫏≰-22001100⩚⊴⇥⫏≰12221=⫏≰21122221","layer":2},{"info":"⫏≰1102212⫥∨⫟⫏≰11112201=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⫏≰21122221⨽NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":214,"expression_no_base_symbol":"(($4555$⨽$2251$)⩷∴($3431$*$1205$)≋⫹)%(⨵≀≌(⊙↵-$2644$))≭(($1578$⫥∨⫟$1007$)≦≮≮)","expression":"((⫏≰20020201⨽⫏≰10002101)⩷∴(⫏≰11201002*⫏≰1122122)≋⫹)%(⨵≀≌(⊙↵-⫏≰10121221))≭((⫏≰2011110⫥∨⫟⫏≰1101022)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8633,"operation_count":10,"complexity_ratio":863.3,"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":4555,"base":3},"right_expr":{"type":"numeric_atoms","value":2251,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3431,"base":3},"right_expr":{"type":"numeric_atoms","value":1205,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2644,"base":3}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1578,"base":3},"right_expr":{"type":"numeric_atoms","value":1007,"base":3}}}}},"used_operators":["k8jYdgA6NY","N41Kp7NANJ","9FxExcQeMw","8HhzD0ZcuI","9HNa5Wba9A","rxpJgHHUmx","srAu1WTS94","oWn0xqSxBt","D4vGDi5EA2","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4555","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=4555, right_input=2251, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-62249514","layer":3},{"info":"number node, value=3431","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=3431, right_input=1205, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4134355","layer":3},{"info":"compute binary expreesion, left_input=-62249514, right_input=4134355, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-132767770","layer":2},{"info":"compute unary expreesion, input=-132767770, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=265535540","layer":1},{"info":"number node, value=2644","layer":4},{"info":"compute unary expreesion, input=2644, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=1","layer":2},{"info":"number node, value=1578","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=1007, 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":"compute binary expreesion, left_input=1, 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=265535540, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20020201⨽⫏≰10002101)⩷∴(⫏≰11201002*⫏≰1122122)≋⫹)%(⨵≀≌(⊙↵-⫏≰10121221))≭((⫏≰2011110⫥∨⫟⫏≰1101022)≦≮≮)=NaN","reverse_text":"NaN=((⫏≰20020201⨽⫏≰10002101)⩷∴(⫏≰11201002*⫏≰1122122)≋⫹)%(⨵≀≌(⊙↵-⫏≰10121221))≭((⫏≰2011110⫥∨⫟⫏≰1101022)≦≮≮)","cot":[{"info":"⫏≰20020201⨽⫏≰10002101=⫏≰-11100010121021120","layer":3},{"info":"⫏≰11201002*⫏≰1122122=⫏≰21210001021021","layer":3},{"info":"⫏≰-11100010121021120⩷∴⫏≰21210001021021=⫏≰-100020211022010211","layer":2},{"info":"⫏≰-100020211022010211≋⫹=⫏≰200111122121021122","layer":1},{"info":"⊙↵-⫏≰10121221=⫏≰-1","layer":3},{"info":"⨵≀≌⫏≰-1=⫏≰1","layer":2},{"info":"⫏≰2011110⫥∨⫟⫏≰1101022=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⫏≰1≭NaN=NaN","layer":1},{"info":"⫏≰200111122121021122%NaN=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"⪲⇎(($6217$⪨≂$1423$)⪘⫢(+⊝⨔$1101$))⪛(+⊝⨔($5281$⪘⫢$2726$))","expression":"⪲⇎((⫏≰22112021⪨≂⫏≰1221201)⪘⫢(+⊝⨔⫏≰1111210))⪛(+⊝⨔(⫏≰21020121⪘⫢⫏≰10201222))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":132,"operation_count":7,"complexity_ratio":18.857142857142858,"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":6217,"base":3},"right_expr":{"type":"numeric_atoms","value":1423,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1101,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5281,"base":3},"right_expr":{"type":"numeric_atoms","value":2726,"base":3}}}}},"used_operators":["XPYlsWDdGa","uFcxV4UQCh","oacrs7FA3X","sdazOOVcIp","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫏≰2201111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6217","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=6217, right_input=1423, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9690","layer":3},{"info":"number node, value=1101","layer":4},{"info":"compute unary expreesion, input=1101, 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=9690, right_input=1522, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=19256","layer":2},{"info":"number node, value=5281","layer":4},{"info":"number node, value=2726","layer":4},{"info":"compute binary expreesion, left_input=5281, right_input=2726, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10438","layer":3},{"info":"compute unary expreesion, input=10438, 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=19256, right_input=1522, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=992","layer":1},{"info":"compute unary expreesion, input=992, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=1984","layer":0}],"base":3,"result_base":3,"text":"⪲⇎((⫏≰22112021⪨≂⫏≰1221201)⪘⫢(+⊝⨔⫏≰1111210))⪛(+⊝⨔(⫏≰21020121⪘⫢⫏≰10201222))=⫏≰2201111","reverse_text":"⫏≰2201111=⪲⇎((⫏≰22112021⪨≂⫏≰1221201)⪘⫢(+⊝⨔⫏≰1111210))⪛(+⊝⨔(⫏≰21020121⪘⫢⫏≰10201222))","cot":[{"info":"⫏≰22112021⪨≂⫏≰1221201=⫏≰111021220","layer":3},{"info":"+⊝⨔⫏≰1111210=⫏≰2002101","layer":3},{"info":"⫏≰111021220⪘⫢⫏≰2002101=⫏≰222102012","layer":2},{"info":"⫏≰21020121⪘⫢⫏≰10201222=⫏≰112022121","layer":3},{"info":"+⊝⨔⫏≰112022121=⫏≰2002101","layer":2},{"info":"⫏≰222102012⪛⫏≰2002101=⫏≰1100202","layer":1},{"info":"⪲⇎⫏≰1100202=⫏≰2201111","layer":0}]}
{"id":216,"expression_no_base_symbol":"(($4339$∧)⊘)⪮%⊝((⨈⫕$6177$)∀⇚≩$3360$⨟⋌⩍$1041$)≭(≤/($2273$∲⫓$2719$))⨪↰⇹(⋗⩬⋾$4119$⋳⪒$2273$)","expression":"((⫏≰12221201∧)⊘)⪮%⊝((⨈⫕⫏≰22110210)∀⇚≩⫏≰11121110⨟⋌⩍⫏≰1102120)≭(≤/(⫏≰10010012∲⫓⫏≰10201201))⨪↰⇹(⋗⩬⋾⫏≰12122120⋳⪒⫏≰10010012)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1068,"operation_count":12,"complexity_ratio":89.0,"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":4339,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6177,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3360,"base":3},"right_expr":{"type":"numeric_atoms","value":1041,"base":3}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2273,"base":3},"right_expr":{"type":"numeric_atoms","value":2719,"base":3}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4119,"base":3},"right_expr":{"type":"numeric_atoms","value":2273,"base":3}}}}},"used_operators":["rxpJgHHUmx","IWmyXbctLI","gu96TGCTMs","z63VuFQld9","LRNGc0VcxI","megm06wKyl","rGHVDoGpnC","tmPS8pqC7x","eLAdDNolq6","i8ToyICDmI","DpFCA1CohY","12rbrZMWeM"],"dependent_operators":["AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Tcnh7f0tEr","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4339","layer":4},{"info":"compute unary expreesion, input=4339, 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 = 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=6177","layer":4},{"info":"compute unary expreesion, input=6177, 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=3360","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=3360, right_input=1041, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-21, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=2273","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=2719, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":2},{"info":"number node, value=4119","layer":4},{"info":"number node, value=2273","layer":4},{"info":"compute binary expreesion, left_input=4119, right_input=2273, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5678","layer":3},{"info":"compute unary expreesion, input=5678, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17034","layer":2},{"info":"compute binary expreesion, left_input=484, right_input=-17034, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=484","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=484, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12221201∧)⊘)⪮%⊝((⨈⫕⫏≰22110210)∀⇚≩⫏≰11121110⨟⋌⩍⫏≰1102120)≭(≤/(⫏≰10010012∲⫓⫏≰10201201))⨪↰⇹(⋗⩬⋾⫏≰12122120⋳⪒⫏≰10010012)=NaN","reverse_text":"NaN=((⫏≰12221201∧)⊘)⪮%⊝((⨈⫕⫏≰22110210)∀⇚≩⫏≰11121110⨟⋌⩍⫏≰1102120)≭(≤/(⫏≰10010012∲⫓⫏≰10201201))⨪↰⇹(⋗⩬⋾⫏≰12122120⋳⪒⫏≰10010012)","cot":[{"info":"⫏≰12221201∧=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"⨈⫕⫏≰22110210=⫏≰-210","layer":3},{"info":"⫏≰11121110⨟⋌⩍⫏≰1102120=NaN","layer":3},{"info":"⫏≰-210∀⇚≩NaN=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"⫏≰10010012∲⫓⫏≰10201201=⫏≰0","layer":3},{"info":"≤/⫏≰0=⫏≰122221","layer":2},{"info":"⫏≰12122120⋳⪒⫏≰10010012=⫏≰21210022","layer":3},{"info":"⋗⩬⋾⫏≰21210022=⫏≰-212100220","layer":2},{"info":"⫏≰122221⨪↰⇹⫏≰-212100220=⫏≰122221","layer":1},{"info":"NaN≭⫏≰122221=NaN","layer":0}]}
{"id":217,"expression_no_base_symbol":"(($3430$⋝⋈⪟$1366$)≹⇙⪍($1066$⨪↰⇹$3764$)↛⩡⫤)↺(⩦⩻⨪(⫓⪴($1263$⊭↱$4446$)))","expression":"((⫏≰11201001⋝⋈⪟⫏≰1212121)≹⇙⪍(⫏≰1110111⨪↰⇹⫏≰12011102)↛⩡⫤)↺(⩦⩻⨪(⫓⪴(⫏≰1201210⊭↱⫏≰20002200)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7515,"operation_count":8,"complexity_ratio":939.375,"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":3430,"base":3},"right_expr":{"type":"numeric_atoms","value":1366,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1066,"base":3},"right_expr":{"type":"numeric_atoms","value":3764,"base":3}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1263,"base":3},"right_expr":{"type":"numeric_atoms","value":4446,"base":3}}}}},"used_operators":["7j4O788W3g","FU0Cs4j7VP","AHs5Up7iyr","2DDjHMKMc0","tmPS8pqC7x","2td37pGCOC","eLxqMNBOBk","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2211101011112001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3430","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=3430, right_input=1366, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3430","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=3764","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=3764, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1066","layer":3},{"info":"compute binary expreesion, left_input=3430, right_input=1066, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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":"number node, value=1263","layer":4},{"info":"number node, value=4446","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=4446, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6371","layer":3},{"info":"compute unary expreesion, input=6371, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=40589641","layer":2},{"info":"compute unary expreesion, input=40589641, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=40589641","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=40589641, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=40589641","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11201001⋝⋈⪟⫏≰1212121)≹⇙⪍(⫏≰1110111⨪↰⇹⫏≰12011102)↛⩡⫤)↺(⩦⩻⨪(⫓⪴(⫏≰1201210⊭↱⫏≰20002200)))=⫏≰2211101011112001","reverse_text":"⫏≰2211101011112001=((⫏≰11201001⋝⋈⪟⫏≰1212121)≹⇙⪍(⫏≰1110111⨪↰⇹⫏≰12011102)↛⩡⫤)↺(⩦⩻⨪(⫓⪴(⫏≰1201210⊭↱⫏≰20002200)))","cot":[{"info":"⫏≰11201001⋝⋈⪟⫏≰1212121=⫏≰11201001","layer":3},{"info":"⫏≰1110111⨪↰⇹⫏≰12011102=⫏≰1110111","layer":3},{"info":"⫏≰11201001≹⇙⪍⫏≰1110111=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"⫏≰1201210⊭↱⫏≰20002200=⫏≰22201222","layer":3},{"info":"⫓⪴⫏≰22201222=⫏≰2211101011112001","layer":2},{"info":"⩦⩻⨪⫏≰2211101011112001=⫏≰2211101011112001","layer":1},{"info":"NaN↺⫏≰2211101011112001=⫏≰2211101011112001","layer":0}]}
{"id":218,"expression_no_base_symbol":"⊄⩳↩(($2584$⪄$1003$)⨽(⊥$4548$))⪘⫢(($3946$-$3230$)≣⋋)","expression":"⊄⩳↩((⫏≰10112201⪄⫏≰1101011)⨽(⊥⫏≰20020110))⪘⫢((⫏≰12102011-⫏≰11102122)≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":383165,"operation_count":7,"complexity_ratio":54737.857142857145,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2584,"base":3},"right_expr":{"type":"numeric_atoms","value":1003,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4548,"base":3}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3946,"base":3},"right_expr":{"type":"numeric_atoms","value":3230,"base":3}}}}},"used_operators":["8w2t5hMYqp","oacrs7FA3X","8HhzD0ZcuI","SUmda5xLS4","Q3PJZHRvZv","Tcnh7f0tEr","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","fu6greOZ01","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2584","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=2584, right_input=1003, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-382533","layer":3},{"info":"number node, value=4548","layer":4},{"info":"compute unary expreesion, input=4548, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-382533, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=3946","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=3946, right_input=3230, op_id = rysDP5nf3Z binary_op_definition= 'None', output=716","layer":3},{"info":"compute unary expreesion, input=716, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊄⩳↩((⫏≰10112201⪄⫏≰1101011)⨽(⊥⫏≰20020110))⪘⫢((⫏≰12102011-⫏≰11102122)≣⋋)=NaN","reverse_text":"NaN=⊄⩳↩((⫏≰10112201⪄⫏≰1101011)⨽(⊥⫏≰20020110))⪘⫢((⫏≰12102011-⫏≰11102122)≣⋋)","cot":[{"info":"⫏≰10112201⪄⫏≰1101011=⫏≰-201102201220","layer":3},{"info":"⊥⫏≰20020110=NaN","layer":3},{"info":"⫏≰-201102201220⨽NaN=NaN","layer":2},{"info":"⫏≰12102011-⫏≰11102122=⫏≰222112","layer":3},{"info":"⫏≰222112≣⋋=⫏≰0","layer":2},{"info":"NaN⪘⫢⫏≰0=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":219,"expression_no_base_symbol":"(≦∁($1098$⋷$1866$))⨪↰⇹((+⊝⨔$8220$)⊭↱$1045$⨰$2477$)⇼⇔∾(($1700$⪢$1893$↙$1065$⩚⊴⇥$1910$)⩠)","expression":"(≦∁(⫏≰1111200⋷⫏≰2120010))⨪↰⇹((+⊝⨔⫏≰102021110)⊭↱⫏≰1102201⨰⫏≰10101202)⇼⇔∾((⫏≰2022222⪢⫏≰2121010↙⫏≰1110110⩚⊴⇥⫏≰2121202)⩠)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4607,"operation_count":11,"complexity_ratio":418.8181818181818,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1098,"base":3},"right_expr":{"type":"numeric_atoms","value":1866,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":8220,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1045,"base":3},"right_expr":{"type":"numeric_atoms","value":2477,"base":3}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1700,"base":3},"right_expr":{"type":"numeric_atoms","value":1893,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1065,"base":3},"right_expr":{"type":"numeric_atoms","value":1910,"base":3}}}}},"used_operators":["tifHPKVTfV","tmPS8pqC7x","9ICcGScMcE","23Mk6UjR3U","COABgblf1C","DhbWaqg5eL","eewbuw0ToL","sJAwomhLZr","yyfyN0ffXY","dWAJyo7jo9","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=1866, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2634","layer":3},{"info":"compute unary expreesion, input=2634, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2634","layer":2},{"info":"number node, value=8220","layer":4},{"info":"compute unary expreesion, input=8220, 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=1045","layer":4},{"info":"number node, value=2477","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=2477, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1422","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-1422, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5883","layer":2},{"info":"compute binary expreesion, left_input=2634, right_input=-5883, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2634","layer":1},{"info":"number node, value=1700","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=1700, right_input=1893, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1910","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1910, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3096","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3096, 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":"compute binary expreesion, left_input=2634, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≦∁(⫏≰1111200⋷⫏≰2120010))⨪↰⇹((+⊝⨔⫏≰102021110)⊭↱⫏≰1102201⨰⫏≰10101202)⇼⇔∾((⫏≰2022222⪢⫏≰2121010↙⫏≰1110110⩚⊴⇥⫏≰2121202)⩠)=NaN","reverse_text":"NaN=(≦∁(⫏≰1111200⋷⫏≰2120010))⨪↰⇹((+⊝⨔⫏≰102021110)⊭↱⫏≰1102201⨰⫏≰10101202)⇼⇔∾((⫏≰2022222⪢⫏≰2121010↙⫏≰1110110⩚⊴⇥⫏≰2121202)⩠)","cot":[{"info":"⫏≰1111200⋷⫏≰2120010=⫏≰10121120","layer":3},{"info":"≦∁⫏≰10121120=⫏≰10121120","layer":2},{"info":"+⊝⨔⫏≰102021110=⫏≰2002101","layer":3},{"info":"⫏≰1102201⨰⫏≰10101202=⫏≰-1221200","layer":3},{"info":"⫏≰2002101⊭↱⫏≰-1221200=⫏≰-22001220","layer":2},{"info":"⫏≰10121120⨪↰⇹⫏≰-22001220=⫏≰10121120","layer":1},{"info":"⫏≰2022222⪢⫏≰2121010=NaN","layer":3},{"info":"⫏≰1110110⩚⊴⇥⫏≰2121202=⫏≰-11020200","layer":3},{"info":"NaN↙⫏≰-11020200=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⫏≰10121120⇼⇔∾NaN=NaN","layer":0}]}
{"id":220,"expression_no_base_symbol":"⪝⪂⫅(⨞⊢($5968$⊭↱$1067$)⨟⋌⩍($1146$⪐))","expression":"⪝⪂⫅(⨞⊢(⫏≰22012001⊭↱⫏≰1110112)⨟⋌⩍(⫏≰1120110⪐))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15,"operation_count":5,"complexity_ratio":3.0,"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":5968,"base":3},"right_expr":{"type":"numeric_atoms","value":1067,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1146,"base":3}}}}},"used_operators":["XTarYq4gQB","xUOZtlo3hN","rGHVDoGpnC","COABgblf1C","eH2TOUuTDT"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5968","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=5968, right_input=1067, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9797","layer":3},{"info":"number node, value=1146","layer":4},{"info":"compute unary expreesion, input=1146, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2292","layer":3},{"info":"compute binary expreesion, left_input=-9797, right_input=2292, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪝⪂⫅(⨞⊢(⫏≰22012001⊭↱⫏≰1110112)⨟⋌⩍(⫏≰1120110⪐))=NaN","reverse_text":"NaN=⪝⪂⫅(⨞⊢(⫏≰22012001⊭↱⫏≰1110112)⨟⋌⩍(⫏≰1120110⪐))","cot":[{"info":"⫏≰22012001⊭↱⫏≰1110112=⫏≰-111102212","layer":3},{"info":"⫏≰1120110⪐=⫏≰10010220","layer":3},{"info":"⫏≰-111102212⨟⋌⩍⫏≰10010220=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":221,"expression_no_base_symbol":"($2153$⫡⨏$2800$)⪮%⊝($6042$↙$1411$)↺($4867$⫥∨⫟$6416$)≭($7560$≫≃)⨸⪁(($5269$+$1033$)∑⇟⊟($1457$⩨$2088$))⪢((-$2258$)∧)","expression":"(⫏≰2221202⫡⨏⫏≰10211201)⪮%⊝(⫏≰22021210↙⫏≰1221021)↺(⫏≰20200021⫥∨⫟⫏≰22210122)≭(⫏≰101101000≫≃)⨸⪁((⫏≰21020011+⫏≰1102021)∑⇟⊟(⫏≰1222222⩨⫏≰2212100))⪢((-⫏≰10002122)∧)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10021,"operation_count":14,"complexity_ratio":715.7857142857143,"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":2153,"base":3},"right_expr":{"type":"numeric_atoms","value":2800,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6042,"base":3},"right_expr":{"type":"numeric_atoms","value":1411,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4867,"base":3},"right_expr":{"type":"numeric_atoms","value":6416,"base":3}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":7560,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5269,"base":3},"right_expr":{"type":"numeric_atoms","value":1033,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1457,"base":3},"right_expr":{"type":"numeric_atoms","value":2088,"base":3}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2258,"base":3}}}}},"used_operators":["g55IO6H4Gj","7j4O788W3g","IWmyXbctLI","QMFrweE19q","yyfyN0ffXY","rxpJgHHUmx","KYD54nUTWz","X99M06cbEe","dWAJyo7jo9","U7g4x0WXJJ","W4YGzv6Whe","2DlMacCsIx","z63VuFQld9","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2153","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=2800, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17148","layer":3},{"info":"number node, value=6042","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=6042, right_input=1411, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4233","layer":3},{"info":"compute binary expreesion, left_input=17148, right_input=-4233, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=34612","layer":2},{"info":"number node, value=4867","layer":4},{"info":"number node, value=6416","layer":4},{"info":"compute binary expreesion, left_input=4867, right_input=6416, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=7560","layer":4},{"info":"compute unary expreesion, input=7560, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=16521","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16521, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=34612, 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=5269","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=5269, right_input=1033, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6302","layer":3},{"info":"number node, value=1457","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=2088, 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=6302, right_input=-3, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2258","layer":4},{"info":"compute unary expreesion, input=2258, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2258","layer":3},{"info":"compute unary expreesion, input=-2258, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2221202⫡⨏⫏≰10211201)⪮%⊝(⫏≰22021210↙⫏≰1221021)↺(⫏≰20200021⫥∨⫟⫏≰22210122)≭(⫏≰101101000≫≃)⨸⪁((⫏≰21020011+⫏≰1102021)∑⇟⊟(⫏≰1222222⩨⫏≰2212100))⪢((-⫏≰10002122)∧)=NaN","reverse_text":"NaN=(⫏≰2221202⫡⨏⫏≰10211201)⪮%⊝(⫏≰22021210↙⫏≰1221021)↺(⫏≰20200021⫥∨⫟⫏≰22210122)≭(⫏≰101101000≫≃)⨸⪁((⫏≰21020011+⫏≰1102021)∑⇟⊟(⫏≰1222222⩨⫏≰2212100))⪢((-⫏≰10002122)∧)","cot":[{"info":"⫏≰2221202⫡⨏⫏≰10211201=⫏≰212112010","layer":3},{"info":"⫏≰22021210↙⫏≰1221021=⫏≰-12210210","layer":3},{"info":"⫏≰212112010⪮%⊝⫏≰-12210210=⫏≰1202110221","layer":2},{"info":"⫏≰20200021⫥∨⫟⫏≰22210122=NaN","layer":3},{"info":"⫏≰101101000≫≃=⫏≰211122220","layer":3},{"info":"NaN≭⫏≰211122220=NaN","layer":2},{"info":"⫏≰1202110221↺NaN=NaN","layer":1},{"info":"⫏≰21020011+⫏≰1102021=⫏≰22122102","layer":3},{"info":"⫏≰1222222⩨⫏≰2212100=⫏≰-10","layer":3},{"info":"⫏≰22122102∑⇟⊟⫏≰-10=NaN","layer":2},{"info":"-⫏≰10002122=⫏≰-10002122","layer":3},{"info":"⫏≰-10002122∧=⫏≰0","layer":2},{"info":"NaN⪢⫏≰0=⫏≰0","layer":1},{"info":"NaN⨸⪁⫏≰0=NaN","layer":0}]}
{"id":222,"expression_no_base_symbol":"(($4527$+$1149$⨵⪆($2026$⋷$2214$))∸)⨎($2203$⨰$1422$⨎($1017$*$1248$))⇷((⨵≀≌$6714$)⊦⊿)","expression":"((⫏≰20012200+⫏≰1120120⨵⪆(⫏≰2210001⋷⫏≰10001000))∸)⨎(⫏≰10000121⨰⫏≰1221200⨎(⫏≰1101200*⫏≰1201020))⇷((⨵≀≌⫏≰100012200)⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1223,"operation_count":11,"complexity_ratio":111.18181818181819,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4527,"base":3},"right_expr":{"type":"numeric_atoms","value":1149,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2026,"base":3},"right_expr":{"type":"numeric_atoms","value":2214,"base":3}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2203,"base":3},"right_expr":{"type":"numeric_atoms","value":1422,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1017,"base":3},"right_expr":{"type":"numeric_atoms","value":1248,"base":3}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6714,"base":3}}}}},"used_operators":["rJVOvQCfKK","o20kRiQErp","2DQ55sFlQl","W4YGzv6Whe","23Mk6UjR3U","mp7IySMOzn","eewbuw0ToL","9HNa5Wba9A","14qkJME0vr","srAu1WTS94"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫏≰20010120011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4527","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=1149, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5676","layer":3},{"info":"number node, value=2026","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=2214, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2402","layer":3},{"info":"compute binary expreesion, left_input=5676, right_input=2402, 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=2203","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=1422, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=791","layer":3},{"info":"number node, value=1017","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1248, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1269216","layer":3},{"info":"compute binary expreesion, left_input=791, right_input=1269216, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1269216","layer":2},{"info":"number node, value=6714","layer":4},{"info":"compute unary expreesion, input=6714, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-20142","layer":3},{"info":"compute unary expreesion, input=-20142, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=60347","layer":2},{"info":"compute binary expreesion, left_input=1269216, right_input=60347, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=120694","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=120694, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=120694","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20012200+⫏≰1120120⨵⪆(⫏≰2210001⋷⫏≰10001000))∸)⨎(⫏≰10000121⨰⫏≰1221200⨎(⫏≰1101200*⫏≰1201020))⇷((⨵≀≌⫏≰100012200)⊦⊿)=⫏≰20010120011","reverse_text":"⫏≰20010120011=((⫏≰20012200+⫏≰1120120⨵⪆(⫏≰2210001⋷⫏≰10001000))∸)⨎(⫏≰10000121⨰⫏≰1221200⨎(⫏≰1101200*⫏≰1201020))⇷((⨵≀≌⫏≰100012200)⊦⊿)","cot":[{"info":"⫏≰20012200+⫏≰1120120=⫏≰21210020","layer":3},{"info":"⫏≰2210001⋷⫏≰10001000=⫏≰10021222","layer":3},{"info":"⫏≰21210020⨵⪆⫏≰10021222=⫏≰12221","layer":2},{"info":"⫏≰12221∸=⫏≰20120","layer":1},{"info":"⫏≰10000121⨰⫏≰1221200=⫏≰1002022","layer":3},{"info":"⫏≰1101200*⫏≰1201020=⫏≰2101111001000","layer":3},{"info":"⫏≰1002022⨎⫏≰2101111001000=⫏≰2101111001000","layer":2},{"info":"⨵≀≌⫏≰100012200=⫏≰-1000122000","layer":3},{"info":"⫏≰-1000122000⊦⊿=⫏≰10001210002","layer":2},{"info":"⫏≰2101111001000⇷⫏≰10001210002=⫏≰20010120011","layer":1},{"info":"⫏≰20120⨎⫏≰20010120011=⫏≰20010120011","layer":0}]}
{"id":223,"expression_no_base_symbol":"(↯⪼($7358$⨎$1873$))⋓($3650$⊴$5324$⫥∨⫟$5423$≎⊠⪸$3883$)≫≃","expression":"(↯⪼(⫏≰101002112⨎⫏≰2120101))⋓(⫏≰12000012⊴⫏≰21022012⫥∨⫟⫏≰21102212≎⊠⪸⫏≰12022211)≫≃","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5806,"operation_count":7,"complexity_ratio":829.4285714285714,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7358,"base":3},"right_expr":{"type":"numeric_atoms","value":1873,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3650,"base":3},"right_expr":{"type":"numeric_atoms","value":5324,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5423,"base":3},"right_expr":{"type":"numeric_atoms","value":3883,"base":3}}}}},"used_operators":["X99M06cbEe","T2fj7uvVaJ","8jW3W4yZS5","rJVOvQCfKK","KYD54nUTWz","Nsiff2A1zJ","bJkvcejdHO"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7358","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=7358, 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 unary expreesion, input=1873, 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=3650","layer":4},{"info":"number node, value=5324","layer":4},{"info":"compute binary expreesion, left_input=3650, right_input=5324, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5423","layer":4},{"info":"number node, value=3883","layer":4},{"info":"compute binary expreesion, left_input=5423, right_input=3883, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1404084","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1404084, 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 = T2fj7uvVaJ 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↯⪼(⫏≰101002112⨎⫏≰2120101))⋓(⫏≰12000012⊴⫏≰21022012⫥∨⫟⫏≰21102212≎⊠⪸⫏≰12022211)≫≃=NaN","reverse_text":"NaN=(↯⪼(⫏≰101002112⨎⫏≰2120101))⋓(⫏≰12000012⊴⫏≰21022012⫥∨⫟⫏≰21102212≎⊠⪸⫏≰12022211)≫≃","cot":[{"info":"⫏≰101002112⨎⫏≰2120101=⫏≰2120101","layer":3},{"info":"↯⪼⫏≰2120101=⫏≰-210","layer":2},{"info":"⫏≰12000012⊴⫏≰21022012=NaN","layer":3},{"info":"⫏≰21102212≎⊠⪸⫏≰12022211=⫏≰2122100001010","layer":3},{"info":"NaN⫥∨⫟⫏≰2122100001010=NaN","layer":2},{"info":"⫏≰-210⋓NaN=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":224,"expression_no_base_symbol":"(⊄⩳↩(($2705$≫≃)⪐))⨎((($4398$⊘)+$3047$⩨$5338$)⨽($6143$⩚⊴⇥$1646$⋷$7816$-$7969$))","expression":"(⊄⩳↩((⫏≰10201012≫≃)⪐))⨎(((⫏≰20000220⊘)+⫏≰11011212⩨⫏≰21022201)⨽(⫏≰22102112⩚⊴⇥⫏≰2020222⋷⫏≰101201111-⫏≰101221011))","highest_n_order":2,"priority_hierarchical_complexity":9,"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":2705,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4398,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3047,"base":3},"right_expr":{"type":"numeric_atoms","value":5338,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6143,"base":3},"right_expr":{"type":"numeric_atoms","value":1646,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7816,"base":3},"right_expr":{"type":"numeric_atoms","value":7969,"base":3}}}}},"used_operators":["rJVOvQCfKK","8w2t5hMYqp","eH2TOUuTDT","X99M06cbEe","8HhzD0ZcuI","W4YGzv6Whe","gu96TGCTMs","2DlMacCsIx","23Mk6UjR3U","NTOWxs364D","rysDP5nf3Z"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫏≰-2100100010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2705","layer":4},{"info":"compute unary expreesion, input=2705, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6811","layer":3},{"info":"compute unary expreesion, input=6811, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=13622","layer":2},{"info":"compute unary expreesion, input=13622, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-40866","layer":1},{"info":"number node, value=4398","layer":4},{"info":"compute unary expreesion, input=4398, 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=3047","layer":4},{"info":"number node, value=5338","layer":4},{"info":"compute binary expreesion, left_input=3047, right_input=5338, 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=0, right_input=-3, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-3","layer":2},{"info":"number node, value=6143","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=6143, right_input=1646, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7910","layer":3},{"info":"number node, value=7816","layer":4},{"info":"number node, value=7969","layer":4},{"info":"compute binary expreesion, left_input=7816, right_input=7969, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-153","layer":3},{"info":"compute binary expreesion, left_input=-7910, right_input=-153, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=15820","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=15820, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-46173","layer":1},{"info":"compute binary expreesion, left_input=-40866, right_input=-46173, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-46173","layer":0}],"base":3,"result_base":3,"text":"(⊄⩳↩((⫏≰10201012≫≃)⪐))⨎(((⫏≰20000220⊘)+⫏≰11011212⩨⫏≰21022201)⨽(⫏≰22102112⩚⊴⇥⫏≰2020222⋷⫏≰101201111-⫏≰101221011))=⫏≰-2100100010","reverse_text":"⫏≰-2100100010=(⊄⩳↩((⫏≰10201012≫≃)⪐))⨎(((⫏≰20000220⊘)+⫏≰11011212⩨⫏≰21022201)⨽(⫏≰22102112⩚⊴⇥⫏≰2020222⋷⫏≰101201111-⫏≰101221011))","cot":[{"info":"⫏≰10201012≫≃=⫏≰100100021","layer":3},{"info":"⫏≰100100021⪐=⫏≰200200112","layer":2},{"info":"⊄⩳↩⫏≰200200112=⫏≰-2002001120","layer":1},{"info":"⫏≰20000220⊘=⫏≰0","layer":3},{"info":"⫏≰11011212⩨⫏≰21022201=⫏≰-10","layer":3},{"info":"⫏≰0+⫏≰-10=⫏≰-10","layer":2},{"info":"⫏≰22102112⩚⊴⇥⫏≰2020222=⫏≰-101211222","layer":3},{"info":"⫏≰101201111-⫏≰101221011=⫏≰-12200","layer":3},{"info":"⫏≰-101211222⋷⫏≰-12200=⫏≰210200221","layer":2},{"info":"⫏≰-10⨽⫏≰210200221=⫏≰-2100100010","layer":1},{"info":"⫏≰-2002001120⨎⫏≰-2100100010=⫏≰-2100100010","layer":0}]}
{"id":225,"expression_no_base_symbol":"(($2926$⨵⪆$2815$)⩚⊴⇥$1001$∼$1871$*$4032$≧⫂∧$4070$⨽($3609$⩠))⨰((($6791$⋫)⪄$2446$⪛$3094$)∧)","expression":"((⫏≰11000101⨵⪆⫏≰10212021)⩚⊴⇥⫏≰1101002∼⫏≰2120022*⫏≰12112100≧⫂∧⫏≰12120202⨽(⫏≰11221200⩠))⨰(((⫏≰100022112⋫)⪄⫏≰10100121⪛⫏≰11020121)∧)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10555,"operation_count":12,"complexity_ratio":879.5833333333334,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2926,"base":3},"right_expr":{"type":"numeric_atoms","value":2815,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1001,"base":3},"right_expr":{"type":"numeric_atoms","value":1871,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4032,"base":3},"right_expr":{"type":"numeric_atoms","value":4070,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3609,"base":3}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":6791,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2446,"base":3},"right_expr":{"type":"numeric_atoms","value":3094,"base":3}}}}},"used_operators":["eewbuw0ToL","9HNa5Wba9A","NTOWxs364D","2DQ55sFlQl","DyGG3AbaNP","8HhzD0ZcuI","Ph9nP6C5qx","sJAwomhLZr","z63VuFQld9","SUmda5xLS4","JL8yIekQnl","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2926","layer":4},{"info":"number node, value=2815","layer":4},{"info":"compute binary expreesion, left_input=2926, right_input=2815, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1871","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1871, 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=160, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=4032","layer":4},{"info":"number node, value=4070","layer":4},{"info":"compute binary expreesion, left_input=4032, right_input=4070, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3597","layer":3},{"info":"number node, value=3609","layer":4},{"info":"compute unary expreesion, input=3609, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3597, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-38813913","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-38813913, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6791","layer":4},{"info":"compute unary expreesion, input=6791, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6791","layer":3},{"info":"number node, value=2446","layer":4},{"info":"number node, value=3094","layer":4},{"info":"compute binary expreesion, left_input=2446, right_input=3094, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2446","layer":3},{"info":"compute binary expreesion, left_input=6791, right_input=2446, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1010941","layer":2},{"info":"compute unary expreesion, input=-1010941, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11000101⨵⪆⫏≰10212021)⩚⊴⇥⫏≰1101002∼⫏≰2120022*⫏≰12112100≧⫂∧⫏≰12120202⨽(⫏≰11221200⩠))⨰(((⫏≰100022112⋫)⪄⫏≰10100121⪛⫏≰11020121)∧)=NaN","reverse_text":"NaN=((⫏≰11000101⨵⪆⫏≰10212021)⩚⊴⇥⫏≰1101002∼⫏≰2120022*⫏≰12112100≧⫂∧⫏≰12120202⨽(⫏≰11221200⩠))⨰(((⫏≰100022112⋫)⪄⫏≰10100121⪛⫏≰11020121)∧)","cot":[{"info":"⫏≰11000101⨵⪆⫏≰10212021=⫏≰12221","layer":3},{"info":"⫏≰1101002∼⫏≰2120022=NaN","layer":3},{"info":"⫏≰12221⩚⊴⇥NaN=NaN","layer":2},{"info":"⫏≰12112100≧⫂∧⫏≰12120202=⫏≰11221020","layer":3},{"info":"⫏≰11221200⩠=⫏≰0","layer":3},{"info":"⫏≰11221020⨽⫏≰0=⫏≰-2201000221200100","layer":2},{"info":"NaN*⫏≰-2201000221200100=NaN","layer":1},{"info":"⫏≰100022112⋫=⫏≰100022112","layer":3},{"info":"⫏≰10100121⪛⫏≰11020121=⫏≰10100121","layer":3},{"info":"⫏≰100022112⪄⫏≰10100121=⫏≰-1220100202021","layer":2},{"info":"⫏≰-1220100202021∧=⫏≰0","layer":1},{"info":"NaN⨰⫏≰0=NaN","layer":0}]}
{"id":226,"expression_no_base_symbol":"(($2111$⨵⪆$2947$)-(≤/$1289$)⫡⨏$5563$≹⇙⪍$1055$⩷∴($1151$⊠≄⫣))⊭∹↮","expression":"((⫏≰2220012⨵⪆⫏≰11001011)-(≤/⫏≰1202202)⫡⨏⫏≰21122001≹⇙⪍⫏≰1110002⩷∴(⫏≰1120122⊠≄⫣))⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26,"operation_count":8,"complexity_ratio":3.25,"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":2111,"base":3},"right_expr":{"type":"numeric_atoms","value":2947,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1289,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5563,"base":3},"right_expr":{"type":"numeric_atoms","value":1055,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1151,"base":3}}}}},"used_operators":["xNBdhnnwKq","QMFrweE19q","rysDP5nf3Z","2DQ55sFlQl","eLAdDNolq6","9FxExcQeMw","AHs5Up7iyr","DIvbN7qnHd"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2111","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=2111, right_input=2947, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"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":"compute binary expreesion, left_input=160, right_input=-805, op_id = rysDP5nf3Z binary_op_definition= 'None', output=965","layer":2},{"info":"number node, value=5563","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=5563, right_input=1055, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1151","layer":4},{"info":"compute unary expreesion, input=1151, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=965, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2220012⨵⪆⫏≰11001011)-(≤/⫏≰1202202)⫡⨏⫏≰21122001≹⇙⪍⫏≰1110002⩷∴(⫏≰1120122⊠≄⫣))⊭∹↮=NaN","reverse_text":"NaN=((⫏≰2220012⨵⪆⫏≰11001011)-(≤/⫏≰1202202)⫡⨏⫏≰21122001≹⇙⪍⫏≰1110002⩷∴(⫏≰1120122⊠≄⫣))⊭∹↮","cot":[{"info":"⫏≰2220012⨵⪆⫏≰11001011=⫏≰12221","layer":3},{"info":"≤/⫏≰1202202=⫏≰-1002211","layer":3},{"info":"⫏≰12221-⫏≰-1002211=⫏≰1022202","layer":2},{"info":"⫏≰21122001≹⇙⪍⫏≰1110002=NaN","layer":3},{"info":"⫏≰1120122⊠≄⫣=⫏≰0","layer":3},{"info":"NaN⩷∴⫏≰0=NaN","layer":2},{"info":"⫏≰1022202⫡⨏NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":227,"expression_no_base_symbol":"⨈⫕(($3847$/$2103$)⪛($3272$⊭↱$2051$))≹⇙⪍(⨈⫕$5082$⨰$7338$)","expression":"⨈⫕((⫏≰12021111/⫏≰2212220)⪛(⫏≰11111012⊭↱⫏≰2210222))≹⇙⪍(⨈⫕⫏≰20222020⨰⫏≰101001210)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1345,"operation_count":7,"complexity_ratio":192.14285714285714,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3847,"base":3},"right_expr":{"type":"numeric_atoms","value":2103,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3272,"base":3},"right_expr":{"type":"numeric_atoms","value":2051,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5082,"base":3},"right_expr":{"type":"numeric_atoms","value":7338,"base":3}}}}},"used_operators":["megm06wKyl","AHs5Up7iyr","uFcxV4UQCh","XhwjNDsVaA","COABgblf1C","eewbuw0ToL"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3847","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=3847, right_input=2103, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=3272","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=2051, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2437","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=-2437, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2436","layer":2},{"info":"number node, value=5082","layer":4},{"info":"number node, value=7338","layer":4},{"info":"compute binary expreesion, left_input=5082, right_input=7338, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2246","layer":3},{"info":"compute unary expreesion, input=-2246, 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=-2436, right_input=-21, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":3,"result_base":3,"text":"⨈⫕((⫏≰12021111/⫏≰2212220)⪛(⫏≰11111012⊭↱⫏≰2210222))≹⇙⪍(⨈⫕⫏≰20222020⨰⫏≰101001210)=⫏≰-210","reverse_text":"⫏≰-210=⨈⫕((⫏≰12021111/⫏≰2212220)⪛(⫏≰11111012⊭↱⫏≰2210222))≹⇙⪍(⨈⫕⫏≰20222020⨰⫏≰101001210)","cot":[{"info":"⫏≰12021111/⫏≰2212220=⫏≰1","layer":3},{"info":"⫏≰11111012⊭↱⫏≰2210222=⫏≰-10100021","layer":3},{"info":"⫏≰1⪛⫏≰-10100021=⫏≰-10100020","layer":2},{"info":"⫏≰20222020⨰⫏≰101001210=⫏≰-10002012","layer":3},{"info":"⨈⫕⫏≰-10002012=⫏≰-210","layer":2},{"info":"⫏≰-10100020≹⇙⪍⫏≰-210=NaN","layer":1},{"info":"⨈⫕NaN=⫏≰-210","layer":0}]}
{"id":228,"expression_no_base_symbol":"(⫓⪴((⨞⊢$1214$)*($3692$-$1434$)))⫸⊐(⪲⇎(($3506$⇼⇔∾$8245$)⫸⊐(⊙↵-$2027$)))","expression":"(⫓⪴((⨞⊢⫏≰1122222)*(⫏≰12001202-⫏≰1222010)))⫸⊐(⪲⇎((⫏≰11210212⇼⇔∾⫏≰102022101)⫸⊐(⊙↵-⫏≰2210002)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3137600,"operation_count":9,"complexity_ratio":348622.22222222225,"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":1214,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3692,"base":3},"right_expr":{"type":"numeric_atoms","value":1434,"base":3}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3506,"base":3},"right_expr":{"type":"numeric_atoms","value":8245,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2027,"base":3}}}}},"used_operators":["mqXw5SEYmG","eLxqMNBOBk","9HNa5Wba9A","xUOZtlo3hN","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","oWn0xqSxBt"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1214","layer":4},{"info":"compute unary expreesion, input=1214, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1388","layer":3},{"info":"number node, value=3692","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=3692, right_input=1434, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2258","layer":3},{"info":"compute binary expreesion, left_input=-1388, right_input=2258, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-3134104","layer":2},{"info":"compute unary expreesion, input=-3134104, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"number node, value=3506","layer":4},{"info":"number node, value=8245","layer":4},{"info":"compute binary expreesion, left_input=3506, right_input=8245, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4739","layer":3},{"info":"number node, value=2027","layer":4},{"info":"compute unary expreesion, input=2027, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=4739, right_input=-1, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-129","layer":2},{"info":"compute unary expreesion, input=-129, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-258","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=-258, 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":3,"result_base":3,"text":"(⫓⪴((⨞⊢⫏≰1122222)*(⫏≰12001202-⫏≰1222010)))⫸⊐(⪲⇎((⫏≰11210212⇼⇔∾⫏≰102022101)⫸⊐(⊙↵-⫏≰2210002)))=NaN","reverse_text":"NaN=(⫓⪴((⨞⊢⫏≰1122222)*(⫏≰12001202-⫏≰1222010)))⫸⊐(⪲⇎((⫏≰11210212⇼⇔∾⫏≰102022101)⫸⊐(⊙↵-⫏≰2210002)))","cot":[{"info":"⨞⊢⫏≰1122222=⫏≰-1220102","layer":3},{"info":"⫏≰12001202-⫏≰1222010=⫏≰10002122","layer":3},{"info":"⫏≰-1220102*⫏≰10002122=⫏≰-12220020011221","layer":2},{"info":"⫓⪴⫏≰-12220020011221=Inf","layer":1},{"info":"⫏≰11210212⇼⇔∾⫏≰102022101=⫏≰20111112","layer":3},{"info":"⊙↵-⫏≰2210002=⫏≰-1","layer":3},{"info":"⫏≰20111112⫸⊐⫏≰-1=⫏≰-11210","layer":2},{"info":"⪲⇎⫏≰-11210=⫏≰-100120","layer":1},{"info":"Inf⫸⊐⫏≰-100120=NaN","layer":0}]}
{"id":229,"expression_no_base_symbol":"(($2168$↺$3281$)≭(⫓⪴$3974$))⪛(⪝⪂⫅($5582$∑⇟⊟$1075$))∑⇟⊟((⨈⫕($2770$-$4846$))⊉≛↸(⊙↵-($3590$⩨$3062$)))","expression":"((⫏≰2222022↺⫏≰11111112)≭(⫓⪴⫏≰12110012))⪛(⪝⪂⫅(⫏≰21122202∑⇟⊟⫏≰1110211))∑⇟⊟((⨈⫕(⫏≰10210121-⫏≰20122111))⊉≛↸(⊙↵-(⫏≰11220222⩨⫏≰11012102)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6170,"operation_count":12,"complexity_ratio":514.1666666666666,"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":2168,"base":3},"right_expr":{"type":"numeric_atoms","value":3281,"base":3}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3974,"base":3}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5582,"base":3},"right_expr":{"type":"numeric_atoms","value":1075,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2770,"base":3},"right_expr":{"type":"numeric_atoms","value":4846,"base":3}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3590,"base":3},"right_expr":{"type":"numeric_atoms","value":3062,"base":3}}}}},"used_operators":["U7g4x0WXJJ","uFcxV4UQCh","rxpJgHHUmx","7j4O788W3g","eLxqMNBOBk","XTarYq4gQB","DZ8iAZOCBD","megm06wKyl","rysDP5nf3Z","oWn0xqSxBt","2DlMacCsIx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2168","layer":4},{"info":"number node, value=3281","layer":4},{"info":"compute binary expreesion, left_input=2168, right_input=3281, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3281","layer":3},{"info":"number node, value=3974","layer":4},{"info":"compute unary expreesion, input=3974, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=15792676","layer":3},{"info":"compute binary expreesion, left_input=3281, right_input=15792676, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5582","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=5582, right_input=1075, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', 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=2770","layer":4},{"info":"number node, value=4846","layer":4},{"info":"compute binary expreesion, left_input=2770, right_input=4846, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2076","layer":3},{"info":"compute unary expreesion, input=-2076, 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=3590","layer":4},{"info":"number node, value=3062","layer":4},{"info":"compute binary expreesion, left_input=3590, right_input=3062, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-42","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-42, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2222022↺⫏≰11111112)≭(⫓⪴⫏≰12110012))⪛(⪝⪂⫅(⫏≰21122202∑⇟⊟⫏≰1110211))∑⇟⊟((⨈⫕(⫏≰10210121-⫏≰20122111))⊉≛↸(⊙↵-(⫏≰11220222⩨⫏≰11012102)))=NaN","reverse_text":"NaN=((⫏≰2222022↺⫏≰11111112)≭(⫓⪴⫏≰12110012))⪛(⪝⪂⫅(⫏≰21122202∑⇟⊟⫏≰1110211))∑⇟⊟((⨈⫕(⫏≰10210121-⫏≰20122111))⊉≛↸(⊙↵-(⫏≰11220222⩨⫏≰11012102)))","cot":[{"info":"⫏≰2222022↺⫏≰11111112=⫏≰11111112","layer":3},{"info":"⫓⪴⫏≰12110012=⫏≰1002201100110221","layer":3},{"info":"⫏≰11111112≭⫏≰1002201100110221=NaN","layer":2},{"info":"⫏≰21122202∑⇟⊟⫏≰1110211=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⫏≰10210121-⫏≰20122111=⫏≰-2211220","layer":3},{"info":"⨈⫕⫏≰-2211220=⫏≰-210","layer":2},{"info":"⫏≰11220222⩨⫏≰11012102=⫏≰0","layer":3},{"info":"⊙↵-⫏≰0=⫏≰0","layer":2},{"info":"⫏≰-210⊉≛↸⫏≰0=⫏≰-1120","layer":1},{"info":"NaN∑⇟⊟⫏≰-1120=NaN","layer":0}]}
{"id":230,"expression_no_base_symbol":"($4186$⨓$2149$⋳⪒$1376$⪢$1412$⊭↱($1390$⪒$6923$)⫸⊐($1151$∲⫓$2373$))∸","expression":"(⫏≰12202001⨓⫏≰2221121⋳⪒⫏≰1212222⪢⫏≰1221022⊭↱(⫏≰1220111⪒⫏≰100111102)⫸⊐(⫏≰1120122∲⫓⫏≰10020220))∸","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3766,"operation_count":8,"complexity_ratio":470.75,"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":4186,"base":3},"right_expr":{"type":"numeric_atoms","value":2149,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1376,"base":3},"right_expr":{"type":"numeric_atoms","value":1412,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1390,"base":3},"right_expr":{"type":"numeric_atoms","value":6923,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1151,"base":3},"right_expr":{"type":"numeric_atoms","value":2373,"base":3}}}}},"used_operators":["o20kRiQErp","COABgblf1C","12rbrZMWeM","3ViojmjbAp","dWAJyo7jo9","mqXw5SEYmG","f6k1SAg4EE","i8ToyICDmI"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4186","layer":4},{"info":"number node, value=2149","layer":4},{"info":"compute binary expreesion, left_input=4186, right_input=2149, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2152","layer":3},{"info":"number node, value=1376","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=1412, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-2152, 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=1390","layer":4},{"info":"number node, value=6923","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=6923, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8313","layer":3},{"info":"number node, value=1151","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=2373, 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=-8313, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12202001⨓⫏≰2221121⋳⪒⫏≰1212222⪢⫏≰1221022⊭↱(⫏≰1220111⪒⫏≰100111102)⫸⊐(⫏≰1120122∲⫓⫏≰10020220))∸=⫏≰20120","reverse_text":"⫏≰20120=(⫏≰12202001⨓⫏≰2221121⋳⪒⫏≰1212222⪢⫏≰1221022⊭↱(⫏≰1220111⪒⫏≰100111102)⫸⊐(⫏≰1120122∲⫓⫏≰10020220))∸","cot":[{"info":"⫏≰12202001⨓⫏≰2221121=⫏≰-2221201","layer":3},{"info":"⫏≰1212222⪢⫏≰1221022=NaN","layer":3},{"info":"⫏≰-2221201⋳⪒NaN=NaN","layer":2},{"info":"⫏≰1220111⪒⫏≰100111102=⫏≰-102101220","layer":3},{"info":"⫏≰1120122∲⫓⫏≰10020220=⫏≰0","layer":3},{"info":"⫏≰-102101220⫸⊐⫏≰0=⫏≰1022212","layer":2},{"info":"NaN⊭↱⫏≰1022212=NaN","layer":1},{"info":"NaN∸=⫏≰20120","layer":0}]}
{"id":231,"expression_no_base_symbol":"((($1416$↺$3938$)⫥∨⫟$1850$≭$1077$)⨓($3394$⪄$1074$-$1058$≭$1981$))⪛(($6610$⫡⨏$5286$)⨓(∂$1009$)≭($1668$%$3636$)∀⇚≩($2896$⩷∴$3890$))","expression":"(((⫏≰1221110↺⫏≰12101212)⫥∨⫟⫏≰2112112≭⫏≰1110220)⨓(⫏≰11122201⪄⫏≰1110210-⫏≰1110012≭⫏≰2201101))⪛((⫏≰100001211⫡⨏⫏≰21020210)⨓(∂⫏≰1101101)≭(⫏≰2021210%⫏≰11222200)∀⇚≩(⫏≰10222021⩷∴⫏≰12100002))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11964,"operation_count":15,"complexity_ratio":797.6,"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":1416,"base":3},"right_expr":{"type":"numeric_atoms","value":3938,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1850,"base":3},"right_expr":{"type":"numeric_atoms","value":1077,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3394,"base":3},"right_expr":{"type":"numeric_atoms","value":1074,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1058,"base":3},"right_expr":{"type":"numeric_atoms","value":1981,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6610,"base":3},"right_expr":{"type":"numeric_atoms","value":5286,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1009,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1668,"base":3},"right_expr":{"type":"numeric_atoms","value":3636,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2896,"base":3},"right_expr":{"type":"numeric_atoms","value":3890,"base":3}}}}},"used_operators":["uFcxV4UQCh","3ViojmjbAp","KYD54nUTWz","7j4O788W3g","rxpJgHHUmx","rysDP5nf3Z","SUmda5xLS4","QMFrweE19q","Uaa54Peajs","LRNGc0VcxI","k8jYdgA6NY","9FxExcQeMw"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","X99M06cbEe","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1416","layer":4},{"info":"number node, value=3938","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=3938, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3938","layer":3},{"info":"number node, value=1850","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=1077, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3938, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3394","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=3394, right_input=1074, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-502697","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=1981","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1981, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-502697, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=6610","layer":4},{"info":"number node, value=5286","layer":4},{"info":"compute binary expreesion, left_input=6610, right_input=5286, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=44405","layer":3},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, 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=44405, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1668","layer":4},{"info":"number node, value=3636","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=3636, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1668","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=3890","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=3890, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2020","layer":3},{"info":"compute binary expreesion, left_input=1668, right_input=-2020, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1221110↺⫏≰12101212)⫥∨⫟⫏≰2112112≭⫏≰1110220)⨓(⫏≰11122201⪄⫏≰1110210-⫏≰1110012≭⫏≰2201101))⪛((⫏≰100001211⫡⨏⫏≰21020210)⨓(∂⫏≰1101101)≭(⫏≰2021210%⫏≰11222200)∀⇚≩(⫏≰10222021⩷∴⫏≰12100002))=NaN","reverse_text":"NaN=(((⫏≰1221110↺⫏≰12101212)⫥∨⫟⫏≰2112112≭⫏≰1110220)⨓(⫏≰11122201⪄⫏≰1110210-⫏≰1110012≭⫏≰2201101))⪛((⫏≰100001211⫡⨏⫏≰21020210)⨓(∂⫏≰1101101)≭(⫏≰2021210%⫏≰11222200)∀⇚≩(⫏≰10222021⩷∴⫏≰12100002))","cot":[{"info":"⫏≰1221110↺⫏≰12101212=⫏≰12101212","layer":3},{"info":"⫏≰2112112≭⫏≰1110220=NaN","layer":3},{"info":"⫏≰12101212⫥∨⫟NaN=NaN","layer":2},{"info":"⫏≰11122201⪄⫏≰1110210=⫏≰-221112120102","layer":3},{"info":"⫏≰1110012≭⫏≰2201101=NaN","layer":3},{"info":"⫏≰-221112120102-NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⫏≰100001211⫡⨏⫏≰21020210=⫏≰2020220122","layer":3},{"info":"∂⫏≰1101101=NaN","layer":3},{"info":"⫏≰2020220122⨓NaN=NaN","layer":2},{"info":"⫏≰2021210%⫏≰11222200=⫏≰2021210","layer":3},{"info":"⫏≰10222021⩷∴⫏≰12100002=⫏≰-2202211","layer":3},{"info":"⫏≰2021210∀⇚≩⫏≰-2202211=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":232,"expression_no_base_symbol":"($2024$/$5346$)⨪↰⇹($4482$⊘)⨐⩸⫘$4280$⩷∴$3021$⋝⋈⪟(≉$7750$)⪒(($3475$⇼⇔∾$7520$)⋓($4369$↺$2550$)⊭∹↮)","expression":"(⫏≰2202222/⫏≰21100000)⨪↰⇹(⫏≰20011000⊘)⨐⩸⫘⫏≰12212112⩷∴⫏≰11010220⋝⋈⪟(≉⫏≰101122001)⪒((⫏≰11202201⇼⇔∾⫏≰101022112)⋓(⫏≰12222211↺⫏≰10111110)⊭∹↮)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":54,"operation_count":12,"complexity_ratio":4.5,"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":2024,"base":3},"right_expr":{"type":"numeric_atoms","value":5346,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4482,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4280,"base":3},"right_expr":{"type":"numeric_atoms","value":3021,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7750,"base":3}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3475,"base":3},"right_expr":{"type":"numeric_atoms","value":7520,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4369,"base":3},"right_expr":{"type":"numeric_atoms","value":2550,"base":3}}}}},"used_operators":["f6k1SAg4EE","fu6greOZ01","tmPS8pqC7x","XhwjNDsVaA","gu96TGCTMs","2DDjHMKMc0","9FxExcQeMw","e1ybzncUwg","xNBdhnnwKq","T2fj7uvVaJ","tifHPKVTfV","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rJVOvQCfKK","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2024","layer":4},{"info":"number node, value=5346","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=5346, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=4482","layer":4},{"info":"compute unary expreesion, input=4482, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=4280","layer":4},{"info":"number node, value=3021","layer":4},{"info":"compute binary expreesion, left_input=4280, right_input=3021, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2486","layer":3},{"info":"number node, value=7750","layer":4},{"info":"compute unary expreesion, input=7750, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=8281","layer":3},{"info":"compute binary expreesion, left_input=2486, right_input=8281, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2486","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2486, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3475","layer":4},{"info":"number node, value=7520","layer":4},{"info":"compute binary expreesion, left_input=3475, right_input=7520, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4045","layer":3},{"info":"number node, value=4369","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=4369, right_input=2550, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2550","layer":3},{"info":"compute binary expreesion, left_input=4045, right_input=2550, op_id = T2fj7uvVaJ 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , 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":3,"result_base":3,"text":"(⫏≰2202222/⫏≰21100000)⨪↰⇹(⫏≰20011000⊘)⨐⩸⫘⫏≰12212112⩷∴⫏≰11010220⋝⋈⪟(≉⫏≰101122001)⪒((⫏≰11202201⇼⇔∾⫏≰101022112)⋓(⫏≰12222211↺⫏≰10111110)⊭∹↮)=NaN","reverse_text":"NaN=(⫏≰2202222/⫏≰21100000)⨪↰⇹(⫏≰20011000⊘)⨐⩸⫘⫏≰12212112⩷∴⫏≰11010220⋝⋈⪟(≉⫏≰101122001)⪒((⫏≰11202201⇼⇔∾⫏≰101022112)⋓(⫏≰12222211↺⫏≰10111110)⊭∹↮)","cot":[{"info":"⫏≰2202222/⫏≰21100000=⫏≰0","layer":3},{"info":"⫏≰20011000⊘=⫏≰0","layer":3},{"info":"⫏≰0⨪↰⇹⫏≰0=⫏≰0","layer":2},{"info":"⫏≰12212112⩷∴⫏≰11010220=⫏≰10102002","layer":3},{"info":"≉⫏≰101122001=⫏≰102100201","layer":3},{"info":"⫏≰10102002⋝⋈⪟⫏≰102100201=⫏≰10102002","layer":2},{"info":"⫏≰0⨐⩸⫘⫏≰10102002=NaN","layer":1},{"info":"⫏≰11202201⇼⇔∾⫏≰101022112=⫏≰12112211","layer":3},{"info":"⫏≰12222211↺⫏≰10111110=⫏≰10111110","layer":3},{"info":"⫏≰12112211⋓⫏≰10111110=⫏≰0","layer":2},{"info":"⫏≰0⊭∹↮=⫏≰0","layer":1},{"info":"NaN⪒⫏≰0=NaN","layer":0}]}
{"id":233,"expression_no_base_symbol":"(+⊝⨔($5096$⪮%⊝$1908$))⪢(∥⊫$1556$⨐⩸⫘$1534$)⊪","expression":"(+⊝⨔(⫏≰20222202⪮%⊝⫏≰2121200))⪢(∥⊫⫏≰2010122⨐⩸⫘⫏≰2002211)⊪","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":67,"operation_count":6,"complexity_ratio":11.166666666666666,"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":5096,"base":3},"right_expr":{"type":"numeric_atoms","value":1908,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1556,"base":3},"right_expr":{"type":"numeric_atoms","value":1534,"base":3}}}}},"used_operators":["zVYPLywUTj","dWAJyo7jo9","DhbWaqg5eL","IWmyXbctLI","P8v4zCKN1o","fu6greOZ01"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5096","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=5096, right_input=1908, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10508","layer":3},{"info":"compute unary expreesion, input=10508, 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=1556","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=1556, right_input=1534, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1522, 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 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":3,"result_base":3,"text":"(+⊝⨔(⫏≰20222202⪮%⊝⫏≰2121200))⪢(∥⊫⫏≰2010122⨐⩸⫘⫏≰2002211)⊪=NaN","reverse_text":"NaN=(+⊝⨔(⫏≰20222202⪮%⊝⫏≰2121200))⪢(∥⊫⫏≰2010122⨐⩸⫘⫏≰2002211)⊪","cot":[{"info":"⫏≰20222202⪮%⊝⫏≰2121200=⫏≰112102012","layer":3},{"info":"+⊝⨔⫏≰112102012=⫏≰2002101","layer":2},{"info":"⫏≰2010122⨐⩸⫘⫏≰2002211=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⫏≰2002101⪢NaN=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":234,"expression_no_base_symbol":"(($5125$%$3590$)∼($2932$⩨$1071$)⊠≄⫣)-(⨰⫟⨤($1062$⨵⪆$2966$)⪛($1114$⨐⩸⫘$2616$))","expression":"((⫏≰21000211%⫏≰11220222)∼(⫏≰11000121⩨⫏≰1110200)⊠≄⫣)-(⨰⫟⨤(⫏≰1110100⨵⪆⫏≰11001212)⪛(⫏≰1112021⨐⩸⫘⫏≰10120220))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":95,"operation_count":9,"complexity_ratio":10.555555555555555,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5125,"base":3},"right_expr":{"type":"numeric_atoms","value":3590,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2932,"base":3},"right_expr":{"type":"numeric_atoms","value":1071,"base":3}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1062,"base":3},"right_expr":{"type":"numeric_atoms","value":2966,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1114,"base":3},"right_expr":{"type":"numeric_atoms","value":2616,"base":3}}}}},"used_operators":["rysDP5nf3Z","DIvbN7qnHd","DyGG3AbaNP","k8jYdgA6NY","2DlMacCsIx","Tw270M8GLb","uFcxV4UQCh","2DQ55sFlQl","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=5125","layer":4},{"info":"number node, value=3590","layer":4},{"info":"compute binary expreesion, left_input=5125, right_input=3590, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1535","layer":3},{"info":"number node, value=2932","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=2932, right_input=1071, 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=1535, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1062","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=2966, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1114","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=2616, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=160, 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 = 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21000211%⫏≰11220222)∼(⫏≰11000121⩨⫏≰1110200)⊠≄⫣)-(⨰⫟⨤(⫏≰1110100⨵⪆⫏≰11001212)⪛(⫏≰1112021⨐⩸⫘⫏≰10120220))=NaN","reverse_text":"NaN=((⫏≰21000211%⫏≰11220222)∼(⫏≰11000121⩨⫏≰1110200)⊠≄⫣)-(⨰⫟⨤(⫏≰1110100⨵⪆⫏≰11001212)⪛(⫏≰1112021⨐⩸⫘⫏≰10120220))","cot":[{"info":"⫏≰21000211%⫏≰11220222=⫏≰2002212","layer":3},{"info":"⫏≰11000121⩨⫏≰1110200=⫏≰0","layer":3},{"info":"⫏≰2002212∼⫏≰0=⫏≰202","layer":2},{"info":"⫏≰202⊠≄⫣=⫏≰0","layer":1},{"info":"⫏≰1110100⨵⪆⫏≰11001212=⫏≰12221","layer":3},{"info":"⫏≰1112021⨐⩸⫘⫏≰10120220=NaN","layer":3},{"info":"⫏≰12221⪛NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫏≰0-NaN=NaN","layer":0}]}
{"id":235,"expression_no_base_symbol":"(($2713$⨽$1770$)+⇶⊼($3475$⪒$2077$)⊦⊿)≭((↯⪼$3365$)⊘)⨰($1779$⋓$1817$)⨪↰⇹(⨰⫟⨤$3481$)","expression":"((⫏≰10201111⨽⫏≰2102120)+⇶⊼(⫏≰11202201⪒⫏≰2211221)⊦⊿)≭((↯⪼⫏≰11121122)⊘)⨰(⫏≰2102220⋓⫏≰2111022)⨪↰⇹(⨰⫟⨤⫏≰11202221)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16382,"operation_count":11,"complexity_ratio":1489.2727272727273,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2713,"base":3},"right_expr":{"type":"numeric_atoms","value":1770,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3475,"base":3},"right_expr":{"type":"numeric_atoms","value":2077,"base":3}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3365,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1779,"base":3},"right_expr":{"type":"numeric_atoms","value":1817,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3481,"base":3}}}}},"used_operators":["rxpJgHHUmx","14qkJME0vr","TpPTUOHfaN","8HhzD0ZcuI","f6k1SAg4EE","eewbuw0ToL","gu96TGCTMs","8jW3W4yZS5","tmPS8pqC7x","T2fj7uvVaJ","Tw270M8GLb"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rJVOvQCfKK","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2713","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=1770, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-22085103","layer":3},{"info":"number node, value=3475","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=3475, right_input=2077, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5552","layer":3},{"info":"compute binary expreesion, left_input=-22085103, right_input=-5552, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=3365","layer":4},{"info":"compute unary expreesion, input=3365, 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":"number node, value=1779","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=1779, right_input=1817, op_id = T2fj7uvVaJ 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=3481","layer":4},{"info":"compute unary expreesion, input=3481, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=0, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=10","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10201111⨽⫏≰2102120)+⇶⊼(⫏≰11202201⪒⫏≰2211221)⊦⊿)≭((↯⪼⫏≰11121122)⊘)⨰(⫏≰2102220⋓⫏≰2111022)⨪↰⇹(⨰⫟⨤⫏≰11202221)=NaN","reverse_text":"NaN=((⫏≰10201111⨽⫏≰2102120)+⇶⊼(⫏≰11202201⪒⫏≰2211221)⊦⊿)≭((↯⪼⫏≰11121122)⊘)⨰(⫏≰2102220⋓⫏≰2111022)⨪↰⇹(⨰⫟⨤⫏≰11202221)","cot":[{"info":"⫏≰10201111⨽⫏≰2102120=⫏≰-1112120001001210","layer":3},{"info":"⫏≰11202201⪒⫏≰2211221=⫏≰-21121122","layer":3},{"info":"⫏≰-1112120001001210+⇶⊼⫏≰-21121122=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"↯⪼⫏≰11121122=⫏≰-210","layer":3},{"info":"⫏≰-210⊘=⫏≰0","layer":2},{"info":"⫏≰2102220⋓⫏≰2111022=⫏≰0","layer":3},{"info":"⨰⫟⨤⫏≰11202221=NaN","layer":3},{"info":"⫏≰0⨪↰⇹NaN=⫏≰0","layer":2},{"info":"⫏≰0⨰⫏≰0=⫏≰101","layer":1},{"info":"NaN≭⫏≰101=NaN","layer":0}]}
{"id":236,"expression_no_base_symbol":"⫓⪴(∂($1801$⇼⇔∾$4309$-$1523$%$2125$))","expression":"⫓⪴(∂(⫏≰2110201⇼⇔∾⫏≰12220121-⫏≰2002102%⫏≰2220201))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":5,"complexity_ratio":1.2,"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":1801,"base":3},"right_expr":{"type":"numeric_atoms","value":4309,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1523,"base":3},"right_expr":{"type":"numeric_atoms","value":2125,"base":3}}}}},"used_operators":["eLxqMNBOBk","Uaa54Peajs","rysDP5nf3Z","tifHPKVTfV","k8jYdgA6NY"],"dependent_operators":["9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1801","layer":4},{"info":"number node, value=4309","layer":4},{"info":"compute binary expreesion, left_input=1801, right_input=4309, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2508","layer":3},{"info":"number node, value=1523","layer":4},{"info":"number node, value=2125","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=2125, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1523","layer":3},{"info":"compute binary expreesion, left_input=2508, right_input=1523, op_id = rysDP5nf3Z binary_op_definition= 'None', output=985","layer":2},{"info":"compute unary expreesion, input=985, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫓⪴(∂(⫏≰2110201⇼⇔∾⫏≰12220121-⫏≰2002102%⫏≰2220201))=NaN","reverse_text":"NaN=⫓⪴(∂(⫏≰2110201⇼⇔∾⫏≰12220121-⫏≰2002102%⫏≰2220201))","cot":[{"info":"⫏≰2110201⇼⇔∾⫏≰12220121=⫏≰10102220","layer":3},{"info":"⫏≰2002102%⫏≰2220201=⫏≰2002102","layer":3},{"info":"⫏≰10102220-⫏≰2002102=⫏≰1100111","layer":2},{"info":"∂⫏≰1100111=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":237,"expression_no_base_symbol":"(↽≂(⊥$1322$))⫥∨⫟(⪲⇎$7064$≧⫂∧$2052$)⪠⩆⊳","expression":"(↽≂(⊥⫏≰1210222))⫥∨⫟(⪲⇎⫏≰100200122≧⫂∧⫏≰2211000)⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":167,"operation_count":6,"complexity_ratio":27.833333333333332,"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":1322,"base":3}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7064,"base":3},"right_expr":{"type":"numeric_atoms","value":2052,"base":3}}}}},"used_operators":["JLbD19bQDL","KYD54nUTWz","u6S6b8DprG","Q3PJZHRvZv","XPYlsWDdGa","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1322","layer":4},{"info":"compute unary expreesion, input=1322, op_id = Q3PJZHRvZv, unary_op_definition = '⊥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":"number node, value=7064","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=7064, right_input=2052, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1579","layer":3},{"info":"compute unary expreesion, input=1579, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3158","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3158, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":3,"result_base":3,"text":"(↽≂(⊥⫏≰1210222))⫥∨⫟(⪲⇎⫏≰100200122≧⫂∧⫏≰2211000)⪠⩆⊳=NaN","reverse_text":"NaN=(↽≂(⊥⫏≰1210222))⫥∨⫟(⪲⇎⫏≰100200122≧⫂∧⫏≰2211000)⪠⩆⊳","cot":[{"info":"⊥⫏≰1210222=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⫏≰100200122≧⫂∧⫏≰2211000=⫏≰2011111","layer":3},{"info":"⪲⇎⫏≰2011111=⫏≰11022222","layer":2},{"info":"NaN⫥∨⫟⫏≰11022222=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":238,"expression_no_base_symbol":"⩦⩻⨪(⨈⫕(↣≠⋷$1161$)↺$4474$⋝⋈⪟$5042$)","expression":"⩦⩻⨪(⨈⫕(↣≠⋷⫏≰1121000)↺⫏≰20010201⋝⋈⪟⫏≰20220202)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":397,"operation_count":5,"complexity_ratio":79.4,"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":1161,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4474,"base":3},"right_expr":{"type":"numeric_atoms","value":5042,"base":3}}}}},"used_operators":["2td37pGCOC","megm06wKyl","7j4O788W3g","Asc51vEJeQ","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=4474","layer":4},{"info":"number node, value=5042","layer":4},{"info":"compute binary expreesion, left_input=4474, right_input=5042, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4474","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4474, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4474","layer":2},{"info":"compute unary expreesion, input=4474, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-21","layer":0}],"base":3,"result_base":3,"text":"⩦⩻⨪(⨈⫕(↣≠⋷⫏≰1121000)↺⫏≰20010201⋝⋈⪟⫏≰20220202)=⫏≰-210","reverse_text":"⫏≰-210=⩦⩻⨪(⨈⫕(↣≠⋷⫏≰1121000)↺⫏≰20010201⋝⋈⪟⫏≰20220202)","cot":[{"info":"↣≠⋷⫏≰1121000=NaN","layer":3},{"info":"⫏≰20010201⋝⋈⪟⫏≰20220202=⫏≰20010201","layer":3},{"info":"NaN↺⫏≰20010201=⫏≰20010201","layer":2},{"info":"⨈⫕⫏≰20010201=⫏≰-210","layer":1},{"info":"⩦⩻⨪⫏≰-210=⫏≰-210","layer":0}]}
{"id":239,"expression_no_base_symbol":"(($7340$⪒$4034$)⫥∨⫟($7618$⫌⩹⨱))∑⇟⊟(∥⊫($1274$⊉≛↸$7387$))⪄($3011$⪛$4766$+⇶⊼($2969$≣⋋))⪢((≉$2461$)⪛(+⊝⨔$1094$))","expression":"((⫏≰101001212⪒⫏≰12112102)⫥∨⫟(⫏≰101110011⫌⩹⨱))∑⇟⊟(∥⊫(⫏≰1202012⊉≛↸⫏≰101010121))⪄(⫏≰11010112⪛⫏≰20112112+⇶⊼(⫏≰11001222≣⋋))⪢((≉⫏≰10101011)⪛(+⊝⨔⫏≰1111112))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2227,"operation_count":14,"complexity_ratio":159.07142857142858,"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":7340,"base":3},"right_expr":{"type":"numeric_atoms","value":4034,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":7618,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1274,"base":3},"right_expr":{"type":"numeric_atoms","value":7387,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3011,"base":3},"right_expr":{"type":"numeric_atoms","value":4766,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2969,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2461,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1094,"base":3}}}}},"used_operators":["SUmda5xLS4","U7g4x0WXJJ","KYD54nUTWz","f6k1SAg4EE","EBcxylXtPf","P8v4zCKN1o","DZ8iAZOCBD","dWAJyo7jo9","TpPTUOHfaN","uFcxV4UQCh","Tcnh7f0tEr","e1ybzncUwg","DhbWaqg5eL"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫏≰12110101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7340","layer":4},{"info":"number node, value=4034","layer":4},{"info":"compute binary expreesion, left_input=7340, right_input=4034, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11374","layer":3},{"info":"number node, value=7618","layer":4},{"info":"compute unary expreesion, input=7618, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=16637","layer":3},{"info":"compute binary expreesion, left_input=-11374, right_input=16637, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1274","layer":4},{"info":"number node, value=7387","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=7387, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2548","layer":3},{"info":"compute unary expreesion, input=2548, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3416","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3416, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3011","layer":4},{"info":"number node, value=4766","layer":4},{"info":"compute binary expreesion, left_input=3011, right_input=4766, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3011","layer":3},{"info":"number node, value=2969","layer":4},{"info":"compute unary expreesion, input=2969, 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=3011, 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=2461","layer":4},{"info":"compute unary expreesion, input=2461, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2992","layer":3},{"info":"number node, value=1094","layer":4},{"info":"compute unary expreesion, input=1094, 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=2992, right_input=1522, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1470","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1470, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":3,"result_base":3,"text":"((⫏≰101001212⪒⫏≰12112102)⫥∨⫟(⫏≰101110011⫌⩹⨱))∑⇟⊟(∥⊫(⫏≰1202012⊉≛↸⫏≰101010121))⪄(⫏≰11010112⪛⫏≰20112112+⇶⊼(⫏≰11001222≣⋋))⪢((≉⫏≰10101011)⪛(+⊝⨔⫏≰1111112))=⫏≰12110101","reverse_text":"⫏≰12110101=((⫏≰101001212⪒⫏≰12112102)⫥∨⫟(⫏≰101110011⫌⩹⨱))∑⇟⊟(∥⊫(⫏≰1202012⊉≛↸⫏≰101010121))⪄(⫏≰11010112⪛⫏≰20112112+⇶⊼(⫏≰11001222≣⋋))⪢((≉⫏≰10101011)⪛(+⊝⨔⫏≰1111112))","cot":[{"info":"⫏≰101001212⪒⫏≰12112102=⫏≰-120121021","layer":3},{"info":"⫏≰101110011⫌⩹⨱=⫏≰211211012","layer":3},{"info":"⫏≰-120121021⫥∨⫟⫏≰211211012=NaN","layer":2},{"info":"⫏≰1202012⊉≛↸⫏≰101010121=⫏≰10111101","layer":3},{"info":"∥⊫⫏≰10111101=⫏≰11200112","layer":2},{"info":"NaN∑⇟⊟⫏≰11200112=NaN","layer":1},{"info":"⫏≰11010112⪛⫏≰20112112=⫏≰11010112","layer":3},{"info":"⫏≰11001222≣⋋=⫏≰0","layer":3},{"info":"⫏≰11010112+⇶⊼⫏≰0=⫏≰0","layer":2},{"info":"≉⫏≰10101011=⫏≰11002211","layer":3},{"info":"+⊝⨔⫏≰1111112=⫏≰2002101","layer":3},{"info":"⫏≰11002211⪛⫏≰2002101=⫏≰2000110","layer":2},{"info":"⫏≰0⪢⫏≰2000110=NaN","layer":1},{"info":"NaN⪄NaN=⫏≰12110101","layer":0}]}
{"id":240,"expression_no_base_symbol":"⨈⫕(($1788$↙$1630$)⪘⫢($4478$↪⪝))∀⇚≩(($4720$⨽$2675$)⊦⊿)","expression":"⨈⫕((⫏≰2110020↙⫏≰2020101)⪘⫢(⫏≰20010212↪⪝))∀⇚≩((⫏≰20110211⨽⫏≰10200002)⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7464,"operation_count":7,"complexity_ratio":1066.2857142857142,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1788,"base":3},"right_expr":{"type":"numeric_atoms","value":1630,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4478,"base":3}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4720,"base":3},"right_expr":{"type":"numeric_atoms","value":2675,"base":3}}}}},"used_operators":["megm06wKyl","LRNGc0VcxI","oacrs7FA3X","yyfyN0ffXY","l07mrZUIn9","14qkJME0vr","8HhzD0ZcuI"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1788","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=1630, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4890","layer":3},{"info":"number node, value=4478","layer":4},{"info":"compute unary expreesion, input=4478, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=273972996","layer":3},{"info":"compute binary expreesion, left_input=-4890, right_input=273972996, 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=4720","layer":4},{"info":"number node, value=2675","layer":4},{"info":"compute binary expreesion, left_input=4720, right_input=2675, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-66841911","layer":3},{"info":"compute unary expreesion, input=-66841911, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=200525654","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=200525654, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=200525654","layer":1},{"info":"compute unary expreesion, input=200525654, 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":3,"result_base":3,"text":"⨈⫕((⫏≰2110020↙⫏≰2020101)⪘⫢(⫏≰20010212↪⪝))∀⇚≩((⫏≰20110211⨽⫏≰10200002)⊦⊿)=⫏≰-210","reverse_text":"⫏≰-210=⨈⫕((⫏≰2110020↙⫏≰2020101)⪘⫢(⫏≰20010212↪⪝))∀⇚≩((⫏≰20110211⨽⫏≰10200002)⊦⊿)","cot":[{"info":"⫏≰2110020↙⫏≰2020101=⫏≰-20201010","layer":3},{"info":"⫏≰20010212↪⪝=⫏≰201002112021022000","layer":3},{"info":"⫏≰-20201010⪘⫢⫏≰201002112021022000=⫏≰0","layer":2},{"info":"⫏≰20110211⨽⫏≰10200002=⫏≰-11122202220212100","layer":3},{"info":"⫏≰-11122202220212100⊦⊿=⫏≰111222022202111002","layer":2},{"info":"⫏≰0∀⇚≩⫏≰111222022202111002=⫏≰111222022202111002","layer":1},{"info":"⨈⫕⫏≰111222022202111002=⫏≰-210","layer":0}]}
{"id":241,"expression_no_base_symbol":"((⇁⨣⪵(↽≂$6453$))⨵⪆($1013$∲⫓$2703$)⪮%⊝(⊙↵-$1861$))%($3483$⪘⫢$1133$+$1011$⊴$2913$)≎⊠⪸(($1452$⫸⊐$1409$)⪠⩆⊳)","expression":"((⇁⨣⪵(↽≂⫏≰22212000))⨵⪆(⫏≰1101112∲⫓⫏≰10201010)⪮%⊝(⊙↵-⫏≰2112221))%(⫏≰11210000⪘⫢⫏≰1112222+⫏≰1101110⊴⫏≰10222220)≎⊠⪸((⫏≰1222210⫸⊐⫏≰1221012)⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4901,"operation_count":13,"complexity_ratio":377.0,"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":6453,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1013,"base":3},"right_expr":{"type":"numeric_atoms","value":2703,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1861,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3483,"base":3},"right_expr":{"type":"numeric_atoms","value":1133,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1011,"base":3},"right_expr":{"type":"numeric_atoms","value":2913,"base":3}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1452,"base":3},"right_expr":{"type":"numeric_atoms","value":1409,"base":3}}}}},"used_operators":["k8jYdgA6NY","2DQ55sFlQl","inkyxCbjAn","u6S6b8DprG","IWmyXbctLI","i8ToyICDmI","oWn0xqSxBt","bJkvcejdHO","W4YGzv6Whe","oacrs7FA3X","Nsiff2A1zJ","JLbD19bQDL","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6453","layer":4},{"info":"compute unary expreesion, input=6453, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-12906","layer":3},{"info":"compute unary expreesion, input=-12906, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1013","layer":4},{"info":"number node, value=2703","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=2703, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1861","layer":4},{"info":"compute unary expreesion, input=1861, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=316, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3483","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=1133, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6842","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=2913, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6842, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1452","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=1409, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5511","layer":3},{"info":"compute unary expreesion, input=5511, 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 = 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=160, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⇁⨣⪵(↽≂⫏≰22212000))⨵⪆(⫏≰1101112∲⫓⫏≰10201010)⪮%⊝(⊙↵-⫏≰2112221))%(⫏≰11210000⪘⫢⫏≰1112222+⫏≰1101110⊴⫏≰10222220)≎⊠⪸((⫏≰1222210⫸⊐⫏≰1221012)⪠⩆⊳)=NaN","reverse_text":"NaN=((⇁⨣⪵(↽≂⫏≰22212000))⨵⪆(⫏≰1101112∲⫓⫏≰10201010)⪮%⊝(⊙↵-⫏≰2112221))%(⫏≰11210000⪘⫢⫏≰1112222+⫏≰1101110⊴⫏≰10222220)≎⊠⪸((⫏≰1222210⫸⊐⫏≰1221012)⪠⩆⊳)","cot":[{"info":"↽≂⫏≰22212000=⫏≰-122201000","layer":3},{"info":"⇁⨣⪵⫏≰-122201000=NaN","layer":2},{"info":"⫏≰1101112∲⫓⫏≰10201010=⫏≰0","layer":3},{"info":"⊙↵-⫏≰2112221=⫏≰-1","layer":3},{"info":"⫏≰0⪮%⊝⫏≰-1=⫏≰102201","layer":2},{"info":"NaN⨵⪆⫏≰102201=⫏≰12221","layer":1},{"info":"⫏≰11210000⪘⫢⫏≰1112222=⫏≰100101102","layer":3},{"info":"⫏≰1101110⊴⫏≰10222220=NaN","layer":3},{"info":"⫏≰100101102+NaN=NaN","layer":2},{"info":"⫏≰1222210⫸⊐⫏≰1221012=⫏≰21120010","layer":3},{"info":"⫏≰21120010⪠⩆⊳=⫏≰0","layer":2},{"info":"NaN≎⊠⪸⫏≰0=NaN","layer":1},{"info":"⫏≰12221%NaN=NaN","layer":0}]}
{"id":242,"expression_no_base_symbol":"(($1238$⩨$1707$)≎⊠⪸($2857$⋷$5466$)↛⩡⫤)⪘⫢(∥⊫($1962$⪐)≹⇙⪍($5866$⊉≛↸$2170$))","expression":"((⫏≰1200212⩨⫏≰2100020)≎⊠⪸(⫏≰10220211⋷⫏≰21111110)↛⩡⫤)⪘⫢(∥⊫(⫏≰2200200⪐)≹⇙⪍(⫏≰22001021⊉≛↸⫏≰2222101))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2504,"operation_count":9,"complexity_ratio":278.22222222222223,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1238,"base":3},"right_expr":{"type":"numeric_atoms","value":1707,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2857,"base":3},"right_expr":{"type":"numeric_atoms","value":5466,"base":3}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1962,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5866,"base":3},"right_expr":{"type":"numeric_atoms","value":2170,"base":3}}}}},"used_operators":["oacrs7FA3X","FU0Cs4j7VP","bJkvcejdHO","2DlMacCsIx","23Mk6UjR3U","P8v4zCKN1o","AHs5Up7iyr","eH2TOUuTDT","DZ8iAZOCBD"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1238","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=1707, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2857","layer":4},{"info":"number node, value=5466","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=5466, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8075","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=8075, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=777","layer":2},{"info":"compute unary expreesion, input=777, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-113416","layer":1},{"info":"number node, value=1962","layer":4},{"info":"compute unary expreesion, input=1962, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3924","layer":3},{"info":"number node, value=5866","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=5866, right_input=2170, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11732","layer":3},{"info":"compute binary expreesion, left_input=3924, right_input=11732, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-113416, 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":3,"result_base":3,"text":"((⫏≰1200212⩨⫏≰2100020)≎⊠⪸(⫏≰10220211⋷⫏≰21111110)↛⩡⫤)⪘⫢(∥⊫(⫏≰2200200⪐)≹⇙⪍(⫏≰22001021⊉≛↸⫏≰2222101))=NaN","reverse_text":"NaN=((⫏≰1200212⩨⫏≰2100020)≎⊠⪸(⫏≰10220211⋷⫏≰21111110)↛⩡⫤)⪘⫢(∥⊫(⫏≰2200200⪐)≹⇙⪍(⫏≰22001021⊉≛↸⫏≰2222101))","cot":[{"info":"⫏≰1200212⩨⫏≰2100020=⫏≰-10","layer":3},{"info":"⫏≰10220211⋷⫏≰21111110=⫏≰102002002","layer":3},{"info":"⫏≰-10≎⊠⪸⫏≰102002002=⫏≰1001210","layer":2},{"info":"⫏≰1001210↛⩡⫤=⫏≰-12202120121","layer":1},{"info":"⫏≰2200200⪐=⫏≰12101100","layer":3},{"info":"⫏≰22001021⊉≛↸⫏≰2222101=⫏≰121002112","layer":3},{"info":"⫏≰12101100≹⇙⪍⫏≰121002112=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⫏≰-12202120121⪘⫢NaN=NaN","layer":0}]}
{"id":243,"expression_no_base_symbol":"((⇁⨣⪵$1531$)⨵⪆$3929$⨪↰⇹$1149$)⨪↰⇹(($1539$+$3596$)∑⇟⊟($3104$⊉≛↸$1688$))≧⫂∧(-(+⊝⨔($1348$⪒$2242$)))","expression":"((⇁⨣⪵⫏≰2002201)⨵⪆⫏≰12101112⨪↰⇹⫏≰1120120)⨪↰⇹((⫏≰2010000+⫏≰11221012)∑⇟⊟(⫏≰11020222⊉≛↸⫏≰2022112))≧⫂∧(-(+⊝⨔(⫏≰1211221⪒⫏≰10002001)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4121,"operation_count":11,"complexity_ratio":374.6363636363636,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1531,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3929,"base":3},"right_expr":{"type":"numeric_atoms","value":1149,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1539,"base":3},"right_expr":{"type":"numeric_atoms","value":3596,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3104,"base":3},"right_expr":{"type":"numeric_atoms","value":1688,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1348,"base":3},"right_expr":{"type":"numeric_atoms","value":2242,"base":3}}}}},"used_operators":["Ph9nP6C5qx","tmPS8pqC7x","2DQ55sFlQl","inkyxCbjAn","U7g4x0WXJJ","W4YGzv6Whe","DZ8iAZOCBD","t8gj7n24qd","DhbWaqg5eL","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2022022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1531","layer":4},{"info":"compute unary expreesion, input=1531, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3929","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=3929, right_input=1149, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3929","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3929, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1539","layer":4},{"info":"number node, value=3596","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=3596, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5135","layer":3},{"info":"number node, value=3104","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=3104, right_input=1688, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6208","layer":3},{"info":"compute binary expreesion, left_input=5135, right_input=6208, 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=160, 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=160","layer":1},{"info":"number node, value=1348","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=2242, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3590","layer":3},{"info":"compute unary expreesion, input=-3590, 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":"compute binary expreesion, left_input=160, right_input=-1522, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1682","layer":0}],"base":3,"result_base":3,"text":"((⇁⨣⪵⫏≰2002201)⨵⪆⫏≰12101112⨪↰⇹⫏≰1120120)⨪↰⇹((⫏≰2010000+⫏≰11221012)∑⇟⊟(⫏≰11020222⊉≛↸⫏≰2022112))≧⫂∧(-(+⊝⨔(⫏≰1211221⪒⫏≰10002001)))=⫏≰2022022","reverse_text":"⫏≰2022022=((⇁⨣⪵⫏≰2002201)⨵⪆⫏≰12101112⨪↰⇹⫏≰1120120)⨪↰⇹((⫏≰2010000+⫏≰11221012)∑⇟⊟(⫏≰11020222⊉≛↸⫏≰2022112))≧⫂∧(-(+⊝⨔(⫏≰1211221⪒⫏≰10002001)))","cot":[{"info":"⇁⨣⪵⫏≰2002201=NaN","layer":3},{"info":"⫏≰12101112⨪↰⇹⫏≰1120120=⫏≰12101112","layer":3},{"info":"NaN⨵⪆⫏≰12101112=⫏≰12221","layer":2},{"info":"⫏≰2010000+⫏≰11221012=⫏≰21001012","layer":3},{"info":"⫏≰11020222⊉≛↸⫏≰2022112=⫏≰22111221","layer":3},{"info":"⫏≰21001012∑⇟⊟⫏≰22111221=NaN","layer":2},{"info":"⫏≰12221⨪↰⇹NaN=⫏≰12221","layer":1},{"info":"⫏≰1211221⪒⫏≰10002001=⫏≰-11220222","layer":3},{"info":"+⊝⨔⫏≰-11220222=⫏≰2002101","layer":2},{"info":"-⫏≰2002101=⫏≰-2002101","layer":1},{"info":"⫏≰12221≧⫂∧⫏≰-2002101=⫏≰2022022","layer":0}]}
{"id":244,"expression_no_base_symbol":"(↣≠⋷(⩦⩻⨪($5397$↺$4378$)))⫥∨⫟((($1344$⪄$3979$)⊪)⨽(⊥(≦∁$3317$)))","expression":"(↣≠⋷(⩦⩻⨪(⫏≰21101220↺⫏≰20000011)))⫥∨⫟(((⫏≰1211210⪄⫏≰12110101)⊪)⨽(⊥(≦∁⫏≰11112212)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":633037,"operation_count":9,"complexity_ratio":70337.44444444444,"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":5397,"base":3},"right_expr":{"type":"numeric_atoms","value":4378,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1344,"base":3},"right_expr":{"type":"numeric_atoms","value":3979,"base":3}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3317,"base":3}}}}},"used_operators":["KYD54nUTWz","Asc51vEJeQ","2td37pGCOC","7j4O788W3g","8HhzD0ZcuI","zVYPLywUTj","SUmda5xLS4","Q3PJZHRvZv","9ICcGScMcE"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","fu6greOZ01","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5397","layer":4},{"info":"number node, value=4378","layer":4},{"info":"compute binary expreesion, left_input=5397, right_input=4378, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4378","layer":3},{"info":"compute unary expreesion, input=4378, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4378","layer":2},{"info":"compute unary expreesion, input=4378, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1344","layer":4},{"info":"number node, value=3979","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=3979, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-210917","layer":3},{"info":"compute unary expreesion, input=-210917, 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=3317","layer":4},{"info":"compute unary expreesion, input=3317, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3317","layer":3},{"info":"compute unary expreesion, input=3317, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=inf, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↣≠⋷(⩦⩻⨪(⫏≰21101220↺⫏≰20000011)))⫥∨⫟(((⫏≰1211210⪄⫏≰12110101)⊪)⨽(⊥(≦∁⫏≰11112212)))=NaN","reverse_text":"NaN=(↣≠⋷(⩦⩻⨪(⫏≰21101220↺⫏≰20000011)))⫥∨⫟(((⫏≰1211210⪄⫏≰12110101)⊪)⨽(⊥(≦∁⫏≰11112212)))","cot":[{"info":"⫏≰21101220↺⫏≰20000011=⫏≰20000011","layer":3},{"info":"⩦⩻⨪⫏≰20000011=⫏≰20000011","layer":2},{"info":"↣≠⋷⫏≰20000011=NaN","layer":1},{"info":"⫏≰1211210⪄⫏≰12110101=⫏≰-101201022202","layer":3},{"info":"⫏≰-101201022202⊪=Inf","layer":2},{"info":"≦∁⫏≰11112212=⫏≰11112212","layer":3},{"info":"⊥⫏≰11112212=NaN","layer":2},{"info":"Inf⨽NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":245,"expression_no_base_symbol":"⨞⊢(⨞⊢(+⊝⨔$2077$))⪮%⊝(↯⪼(⪝⪂⫅$2788$))","expression":"⨞⊢(⨞⊢(+⊝⨔⫏≰2211221))⪮%⊝(↯⪼(⪝⪂⫅⫏≰10211021))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":216,"operation_count":6,"complexity_ratio":36.0,"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":2077,"base":3}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2788,"base":3}}}}},"used_operators":["xUOZtlo3hN","IWmyXbctLI","DhbWaqg5eL","8jW3W4yZS5","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫏≰10222111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2077","layer":4},{"info":"compute unary expreesion, input=2077, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1696","layer":2},{"info":"number node, value=2788","layer":4},{"info":"compute unary expreesion, input=2788, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-409836","layer":3},{"info":"compute unary expreesion, input=-409836, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=818755","layer":2},{"info":"compute binary expreesion, left_input=-1696, right_input=818755, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-3076","layer":1},{"info":"compute unary expreesion, input=-3076, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=2902","layer":0}],"base":3,"result_base":3,"text":"⨞⊢(⨞⊢(+⊝⨔⫏≰2211221))⪮%⊝(↯⪼(⪝⪂⫅⫏≰10211021))=⫏≰10222111","reverse_text":"⫏≰10222111=⨞⊢(⨞⊢(+⊝⨔⫏≰2211221))⪮%⊝(↯⪼(⪝⪂⫅⫏≰10211021))","cot":[{"info":"+⊝⨔⫏≰2211221=⫏≰2002101","layer":3},{"info":"⨞⊢⫏≰2002101=⫏≰-2022211","layer":2},{"info":"⪝⪂⫅⫏≰10211021=⫏≰-202211012010","layer":3},{"info":"↯⪼⫏≰-202211012010=⫏≰1112121010021","layer":2},{"info":"⫏≰-2022211⪮%⊝⫏≰1112121010021=⫏≰-11012221","layer":1},{"info":"⨞⊢⫏≰-11012221=⫏≰10222111","layer":0}]}
{"id":246,"expression_no_base_symbol":"(∥⊫($1611$⨪↰⇹$2047$)⪮%⊝($6120$⨰$1872$))⪄(($4119$⊭↱$7980$)⋥≓≎(⨑⩽⪐$6182$))∼(∂($3054$⨽$7588$))","expression":"(∥⊫(⫏≰2012200⨪↰⇹⫏≰2210211)⪮%⊝(⫏≰22101200⨰⫏≰2120100))⪄((⫏≰12122120⊭↱⫏≰101221120)⋥≓≎(⨑⩽⪐⫏≰22110222))∼(∂(⫏≰11012010⨽⫏≰101102001))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5602,"operation_count":11,"complexity_ratio":509.27272727272725,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1611,"base":3},"right_expr":{"type":"numeric_atoms","value":2047,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6120,"base":3},"right_expr":{"type":"numeric_atoms","value":1872,"base":3}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4119,"base":3},"right_expr":{"type":"numeric_atoms","value":7980,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6182,"base":3}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3054,"base":3},"right_expr":{"type":"numeric_atoms","value":7588,"base":3}}}}},"used_operators":["SUmda5xLS4","P8v4zCKN1o","IWmyXbctLI","tmPS8pqC7x","eewbuw0ToL","DyGG3AbaNP","Qy55tPpLXF","COABgblf1C","AF7qkfDlqP","Uaa54Peajs","8HhzD0ZcuI"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1611","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=2047, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1611","layer":3},{"info":"number node, value=6120","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=6120, right_input=1872, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4258","layer":3},{"info":"compute binary expreesion, left_input=1611, right_input=4258, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3538","layer":2},{"info":"compute unary expreesion, input=3538, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4406","layer":1},{"info":"number node, value=4119","layer":4},{"info":"number node, value=7980","layer":4},{"info":"compute binary expreesion, left_input=4119, right_input=7980, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7727","layer":3},{"info":"number node, value=6182","layer":4},{"info":"compute unary expreesion, input=6182, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5909","layer":3},{"info":"compute binary expreesion, left_input=7727, right_input=-5909, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-19512","layer":2},{"info":"number node, value=3054","layer":4},{"info":"number node, value=7588","layer":4},{"info":"compute binary expreesion, left_input=3054, right_input=7588, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-28002198","layer":3},{"info":"compute unary expreesion, input=-28002198, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=28001934","layer":2},{"info":"compute binary expreesion, left_input=-19512, right_input=28001934, 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=4406, 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":3,"result_base":3,"text":"(∥⊫(⫏≰2012200⨪↰⇹⫏≰2210211)⪮%⊝(⫏≰22101200⨰⫏≰2120100))⪄((⫏≰12122120⊭↱⫏≰101221120)⋥≓≎(⨑⩽⪐⫏≰22110222))∼(∂(⫏≰11012010⨽⫏≰101102001))=NaN","reverse_text":"NaN=(∥⊫(⫏≰2012200⨪↰⇹⫏≰2210211)⪮%⊝(⫏≰22101200⨰⫏≰2120100))⪄((⫏≰12122120⊭↱⫏≰101221120)⋥≓≎(⨑⩽⪐⫏≰22110222))∼(∂(⫏≰11012010⨽⫏≰101102001))","cot":[{"info":"⫏≰2012200⨪↰⇹⫏≰2210211=⫏≰2012200","layer":3},{"info":"⫏≰22101200⨰⫏≰2120100=⫏≰12211201","layer":3},{"info":"⫏≰2012200⪮%⊝⫏≰12211201=⫏≰11212001","layer":2},{"info":"∥⊫⫏≰11212001=⫏≰20001012","layer":1},{"info":"⫏≰12122120⊭↱⫏≰101221120=⫏≰101121012","layer":3},{"info":"⨑⩽⪐⫏≰22110222=⫏≰-22002212","layer":3},{"info":"⫏≰101121012⋥≓≎⫏≰-22002212=⫏≰-222202200","layer":2},{"info":"⫏≰11012010⨽⫏≰101102001=⫏≰-1221200122210110","layer":3},{"info":"∂⫏≰-1221200122210110=⫏≰1221200122102200","layer":2},{"info":"⫏≰-222202200∼⫏≰1221200122102200=NaN","layer":1},{"info":"⫏≰20001012⪄NaN=NaN","layer":0}]}
{"id":247,"expression_no_base_symbol":"$2038$⊴$7391$⫥∨⫟($3173$⊦⊿)⨳⩥⨓(($6590$⫌⩹⨱)⩨$1008$≎⊠⪸$9626$)⫸⊐(($1113$⫡⨏$1269$)⫥∨⫟($4325$⨁⊸⫻)⪠⩆⊳)","expression":"⫏≰2210111⊴⫏≰101010202⫥∨⫟(⫏≰11100112⊦⊿)⨳⩥⨓((⫏≰100001002⫌⩹⨱)⩨⫏≰1101100≎⊠⪸⫏≰111012112)⫸⊐((⫏≰1112020⫡⨏⫏≰1202000)⫥∨⫟(⫏≰12221012⨁⊸⫻)⪠⩆⊳)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8029,"operation_count":12,"complexity_ratio":669.0833333333334,"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":2038,"base":3},"right_expr":{"type":"numeric_atoms","value":7391,"base":3}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3173,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":6590,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1008,"base":3},"right_expr":{"type":"numeric_atoms","value":9626,"base":3}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1113,"base":3},"right_expr":{"type":"numeric_atoms","value":1269,"base":3}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4325,"base":3}}}}},"used_operators":["mqXw5SEYmG","nCS4ZIUYfx","KYD54nUTWz","Nsiff2A1zJ","14qkJME0vr","2DlMacCsIx","EBcxylXtPf","bJkvcejdHO","JLbD19bQDL","QMFrweE19q","glklzrTFfD"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2038","layer":4},{"info":"number node, value=7391","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=7391, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3173","layer":4},{"info":"compute unary expreesion, input=3173, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9598","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9598, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6590","layer":4},{"info":"compute unary expreesion, input=6590, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=14581","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=9626","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=9626, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=260599","layer":3},{"info":"compute binary expreesion, left_input=14581, right_input=260599, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-51","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-51, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1113","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=1269, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=8886","layer":3},{"info":"number node, value=4325","layer":4},{"info":"compute unary expreesion, input=4325, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4325","layer":3},{"info":"compute binary expreesion, left_input=8886, right_input=4325, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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 = 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":3,"result_base":3,"text":"⫏≰2210111⊴⫏≰101010202⫥∨⫟(⫏≰11100112⊦⊿)⨳⩥⨓((⫏≰100001002⫌⩹⨱)⩨⫏≰1101100≎⊠⪸⫏≰111012112)⫸⊐((⫏≰1112020⫡⨏⫏≰1202000)⫥∨⫟(⫏≰12221012⨁⊸⫻)⪠⩆⊳)=NaN","reverse_text":"NaN=⫏≰2210111⊴⫏≰101010202⫥∨⫟(⫏≰11100112⊦⊿)⨳⩥⨓((⫏≰100001002⫌⩹⨱)⩨⫏≰1101100≎⊠⪸⫏≰111012112)⫸⊐((⫏≰1112020⫡⨏⫏≰1202000)⫥∨⫟(⫏≰12221012⨁⊸⫻)⪠⩆⊳)","cot":[{"info":"⫏≰2210111⊴⫏≰101010202=NaN","layer":3},{"info":"⫏≰11100112⊦⊿=⫏≰-111011111","layer":3},{"info":"NaN⫥∨⫟⫏≰-111011111=NaN","layer":2},{"info":"⫏≰100001002⫌⩹⨱=⫏≰202000001","layer":3},{"info":"⫏≰1101100≎⊠⪸⫏≰111012112=⫏≰111020110211","layer":3},{"info":"⫏≰202000001⩨⫏≰111020110211=⫏≰-1220","layer":2},{"info":"NaN⨳⩥⨓⫏≰-1220=NaN","layer":1},{"info":"⫏≰1112020⫡⨏⫏≰1202000=⫏≰110012010","layer":3},{"info":"⫏≰12221012⨁⊸⫻=⫏≰12221012","layer":3},{"info":"⫏≰110012010⫥∨⫟⫏≰12221012=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":248,"expression_no_base_symbol":"(($1945$∑⇟⊟$3194$)⇷$2162$⨟⋌⩍$2148$⪐)⪒((≦∁$5426$)⨎$4519$⨪↰⇹$1854$⫡⨏($3139$+⇶⊼$2395$)⇷($1015$⋳⪒$3182$))","expression":"((⫏≰2200001∑⇟⊟⫏≰11101022)⇷⫏≰2222002⨟⋌⩍⫏≰2221120⪐)⪒((≦∁⫏≰21102222)⨎⫏≰20012101⨪↰⇹⫏≰2112200⫡⨏(⫏≰11022021+⇶⊼⫏≰10021201)⇷(⫏≰1101121⋳⪒⫏≰11100212))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4559,"operation_count":12,"complexity_ratio":379.9166666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1945,"base":3},"right_expr":{"type":"numeric_atoms","value":3194,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2162,"base":3},"right_expr":{"type":"numeric_atoms","value":2148,"base":3}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5426,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4519,"base":3},"right_expr":{"type":"numeric_atoms","value":1854,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3139,"base":3},"right_expr":{"type":"numeric_atoms","value":2395,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1015,"base":3},"right_expr":{"type":"numeric_atoms","value":3182,"base":3}}}}},"used_operators":["f6k1SAg4EE","eH2TOUuTDT","mp7IySMOzn","U7g4x0WXJJ","rGHVDoGpnC","QMFrweE19q","rJVOvQCfKK","9ICcGScMcE","tmPS8pqC7x","TpPTUOHfaN","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rJVOvQCfKK","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1945","layer":4},{"info":"number node, value=3194","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=3194, 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=2148","layer":4},{"info":"compute binary expreesion, left_input=2162, right_input=2148, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾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=5426","layer":4},{"info":"compute unary expreesion, input=5426, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5426","layer":3},{"info":"number node, value=4519","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=4519, right_input=1854, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4519","layer":3},{"info":"compute binary expreesion, left_input=5426, right_input=4519, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4519","layer":2},{"info":"number node, value=3139","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=2395, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1015","layer":4},{"info":"number node, value=3182","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=3182, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1439","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1439, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4519, 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=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2200001∑⇟⊟⫏≰11101022)⇷⫏≰2222002⨟⋌⩍⫏≰2221120⪐)⪒((≦∁⫏≰21102222)⨎⫏≰20012101⨪↰⇹⫏≰2112200⫡⨏(⫏≰11022021+⇶⊼⫏≰10021201)⇷(⫏≰1101121⋳⪒⫏≰11100212))=NaN","reverse_text":"NaN=((⫏≰2200001∑⇟⊟⫏≰11101022)⇷⫏≰2222002⨟⋌⩍⫏≰2221120⪐)⪒((≦∁⫏≰21102222)⨎⫏≰20012101⨪↰⇹⫏≰2112200⫡⨏(⫏≰11022021+⇶⊼⫏≰10021201)⇷(⫏≰1101121⋳⪒⫏≰11100212))","cot":[{"info":"⫏≰2200001∑⇟⊟⫏≰11101022=NaN","layer":3},{"info":"⫏≰2222002⨟⋌⩍⫏≰2221120=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"≦∁⫏≰21102222=⫏≰21102222","layer":3},{"info":"⫏≰20012101⨪↰⇹⫏≰2112200=⫏≰20012101","layer":3},{"info":"⫏≰21102222⨎⫏≰20012101=⫏≰20012101","layer":2},{"info":"⫏≰11022021+⇶⊼⫏≰10021201=NaN","layer":3},{"info":"⫏≰1101121⋳⪒⫏≰11100212=⫏≰-1222022","layer":3},{"info":"NaN⇷⫏≰-1222022=NaN","layer":2},{"info":"⫏≰20012101⫡⨏NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":249,"expression_no_base_symbol":"($2893$∼$4067$↙(⨈⫕$6450$)/($3335$⪮%⊝$6487$)⨟⋌⩍($4547$⪨≂$1080$))*(⨰⫟⨤(($7348$⪒$1090$)%($2647$⊠≄⫣)))","expression":"(⫏≰10222011∼⫏≰12120122↙(⨈⫕⫏≰22211220)/(⫏≰11120112⪮%⊝⫏≰22220021)⨟⋌⩍(⫏≰20020102⪨≂⫏≰1111000))*(⨰⫟⨤((⫏≰101002011⪒⫏≰1111101)%(⫏≰10122001⊠≄⫣)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":498,"operation_count":12,"complexity_ratio":41.5,"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":2893,"base":3},"right_expr":{"type":"numeric_atoms","value":4067,"base":3}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6450,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3335,"base":3},"right_expr":{"type":"numeric_atoms","value":6487,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4547,"base":3},"right_expr":{"type":"numeric_atoms","value":1080,"base":3}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7348,"base":3},"right_expr":{"type":"numeric_atoms","value":1090,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2647,"base":3}}}}},"used_operators":["9HNa5Wba9A","XhwjNDsVaA","yyfyN0ffXY","DyGG3AbaNP","megm06wKyl","rGHVDoGpnC","IWmyXbctLI","sdazOOVcIp","Tw270M8GLb","k8jYdgA6NY","f6k1SAg4EE","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2893","layer":4},{"info":"number node, value=4067","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=4067, 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=6450","layer":4},{"info":"compute unary expreesion, input=6450, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=3335","layer":4},{"info":"number node, value=6487","layer":4},{"info":"compute binary expreesion, left_input=3335, right_input=6487, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6986","layer":3},{"info":"number node, value=4547","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=4547, right_input=1080, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7036","layer":3},{"info":"compute binary expreesion, left_input=6986, right_input=7036, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=7348","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=7348, right_input=1090, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8438","layer":3},{"info":"number node, value=2647","layer":4},{"info":"compute unary expreesion, input=2647, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8438, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10222011∼⫏≰12120122↙(⨈⫕⫏≰22211220)/(⫏≰11120112⪮%⊝⫏≰22220021)⨟⋌⩍(⫏≰20020102⪨≂⫏≰1111000))*(⨰⫟⨤((⫏≰101002011⪒⫏≰1111101)%(⫏≰10122001⊠≄⫣)))=NaN","reverse_text":"NaN=(⫏≰10222011∼⫏≰12120122↙(⨈⫕⫏≰22211220)/(⫏≰11120112⪮%⊝⫏≰22220021)⨟⋌⩍(⫏≰20020102⪨≂⫏≰1111000))*(⨰⫟⨤((⫏≰101002011⪒⫏≰1111101)%(⫏≰10122001⊠≄⫣)))","cot":[{"info":"⫏≰10222011∼⫏≰12120122=NaN","layer":3},{"info":"⨈⫕⫏≰22211220=⫏≰-210","layer":3},{"info":"NaN↙⫏≰-210=NaN","layer":2},{"info":"⫏≰11120112⪮%⊝⫏≰22220021=⫏≰100120202","layer":3},{"info":"⫏≰20020102⪨≂⫏≰1111000=⫏≰100122121","layer":3},{"info":"⫏≰100120202⨟⋌⩍⫏≰100122121=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⫏≰101002011⪒⫏≰1111101=⫏≰-102120112","layer":3},{"info":"⫏≰10122001⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰-102120112%⫏≰0=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":250,"expression_no_base_symbol":"(($1362$⪒$4868$⫡⨏$6282$⪮%⊝$1661$)⩨(($3893$⪨≂$1270$)⇼⇔∾(⇁⨣⪵$3831$)))⩷∴(($2614$⋥≓≎$1168$)⨐⩸⫘(⊙↵-$3224$))⪛((≉$1025$)⫸⊐$3244$⨪↰⇹$5789$)","expression":"((⫏≰1212110⪒⫏≰20200022⫡⨏⫏≰22121200⪮%⊝⫏≰2021112)⩨((⫏≰12100012⪨≂⫏≰1202001)⇼⇔∾(⇁⨣⪵⫏≰12020220)))⩷∴((⫏≰10120211⋥≓≎⫏≰1121021)⨐⩸⫘(⊙↵-⫏≰11102102))⪛((≉⫏≰1101222)⫸⊐⫏≰11110011⨪↰⇹⫏≰21221102)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6592,"operation_count":15,"complexity_ratio":439.46666666666664,"tree":{"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":3},"right_expr":{"type":"numeric_atoms","value":4868,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6282,"base":3},"right_expr":{"type":"numeric_atoms","value":1661,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3893,"base":3},"right_expr":{"type":"numeric_atoms","value":1270,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3831,"base":3}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2614,"base":3},"right_expr":{"type":"numeric_atoms","value":1168,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3224,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1025,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3244,"base":3},"right_expr":{"type":"numeric_atoms","value":5789,"base":3}}}}},"used_operators":["9FxExcQeMw","2DlMacCsIx","QMFrweE19q","f6k1SAg4EE","IWmyXbctLI","tifHPKVTfV","sdazOOVcIp","inkyxCbjAn","uFcxV4UQCh","fu6greOZ01","Qy55tPpLXF","oWn0xqSxBt","mqXw5SEYmG","e1ybzncUwg","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1362","layer":4},{"info":"number node, value=4868","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=4868, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6230","layer":3},{"info":"number node, value=6282","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=6282, right_input=1661, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12880","layer":3},{"info":"compute binary expreesion, left_input=-6230, right_input=12880, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-4607","layer":2},{"info":"number node, value=3893","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=3893, right_input=1270, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5348","layer":3},{"info":"number node, value=3831","layer":4},{"info":"compute unary expreesion, input=3831, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5348, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4607, 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=2614","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=1168, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-245","layer":3},{"info":"number node, value=3224","layer":4},{"info":"compute unary expreesion, input=3224, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-245, 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":2},{"info":"number node, value=1025","layer":4},{"info":"compute unary expreesion, input=1025, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1556","layer":3},{"info":"number node, value=3244","layer":4},{"info":"number node, value=5789","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=5789, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3244","layer":3},{"info":"compute binary expreesion, left_input=1556, right_input=3244, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12851","layer":2},{"info":"compute binary expreesion, left_input=4, right_input=12851, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1212110⪒⫏≰20200022⫡⨏⫏≰22121200⪮%⊝⫏≰2021112)⩨((⫏≰12100012⪨≂⫏≰1202001)⇼⇔∾(⇁⨣⪵⫏≰12020220)))⩷∴((⫏≰10120211⋥≓≎⫏≰1121021)⨐⩸⫘(⊙↵-⫏≰11102102))⪛((≉⫏≰1101222)⫸⊐⫏≰11110011⨪↰⇹⫏≰21221102)=NaN","reverse_text":"NaN=((⫏≰1212110⪒⫏≰20200022⫡⨏⫏≰22121200⪮%⊝⫏≰2021112)⩨((⫏≰12100012⪨≂⫏≰1202001)⇼⇔∾(⇁⨣⪵⫏≰12020220)))⩷∴((⫏≰10120211⋥≓≎⫏≰1121021)⨐⩸⫘(⊙↵-⫏≰11102102))⪛((≉⫏≰1101222)⫸⊐⫏≰11110011⨪↰⇹⫏≰21221102)","cot":[{"info":"⫏≰1212110⪒⫏≰20200022=⫏≰-22112202","layer":3},{"info":"⫏≰22121200⪮%⊝⫏≰2021112=⫏≰122200001","layer":3},{"info":"⫏≰-22112202⫡⨏⫏≰122200001=⫏≰-20022122","layer":2},{"info":"⫏≰12100012⪨≂⫏≰1202001=⫏≰21100002","layer":3},{"info":"⇁⨣⪵⫏≰12020220=NaN","layer":3},{"info":"⫏≰21100002⇼⇔∾NaN=NaN","layer":2},{"info":"⫏≰-20022122⩨NaN=NaN","layer":1},{"info":"⫏≰10120211⋥≓≎⫏≰1121021=⫏≰-100002","layer":3},{"info":"⊙↵-⫏≰11102102=⫏≰-1","layer":3},{"info":"⫏≰-100002⨐⩸⫘⫏≰-1=⫏≰11","layer":2},{"info":"≉⫏≰1101222=⫏≰2010122","layer":3},{"info":"⫏≰11110011⨪↰⇹⫏≰21221102=⫏≰11110011","layer":3},{"info":"⫏≰2010122⫸⊐⫏≰11110011=⫏≰122121222","layer":2},{"info":"⫏≰11⪛⫏≰122121222=⫏≰11","layer":1},{"info":"NaN⩷∴⫏≰11=NaN","layer":0}]}
{"id":251,"expression_no_base_symbol":"(⊄⩳↩($1564$⪛$8048$⋫))↙(⨞⊢(($2286$⪐)⪐))","expression":"(⊄⩳↩(⫏≰2010221⪛⫏≰102001002⋫))↙(⨞⊢((⫏≰10010200⪐)⪐))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1578,"operation_count":7,"complexity_ratio":225.42857142857142,"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":1564,"base":3},"right_expr":{"type":"numeric_atoms","value":8048,"base":3}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2286,"base":3}}}}},"used_operators":["yyfyN0ffXY","8w2t5hMYqp","JL8yIekQnl","uFcxV4UQCh","xUOZtlo3hN","eH2TOUuTDT"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-20102210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1564","layer":4},{"info":"number node, value=8048","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=8048, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1564","layer":3},{"info":"compute unary expreesion, input=1564, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1564","layer":2},{"info":"compute unary expreesion, input=1564, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4692","layer":1},{"info":"number node, value=2286","layer":4},{"info":"compute unary expreesion, input=2286, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4572","layer":3},{"info":"compute unary expreesion, input=4572, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=9144","layer":2},{"info":"compute unary expreesion, input=9144, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-9318","layer":1},{"info":"compute binary expreesion, left_input=-4692, right_input=-9318, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4692","layer":0}],"base":3,"result_base":3,"text":"(⊄⩳↩(⫏≰2010221⪛⫏≰102001002⋫))↙(⨞⊢((⫏≰10010200⪐)⪐))=⫏≰-20102210","reverse_text":"⫏≰-20102210=(⊄⩳↩(⫏≰2010221⪛⫏≰102001002⋫))↙(⨞⊢((⫏≰10010200⪐)⪐))","cot":[{"info":"⫏≰2010221⪛⫏≰102001002=⫏≰2010221","layer":3},{"info":"⫏≰2010221⋫=⫏≰2010221","layer":2},{"info":"⊄⩳↩⫏≰2010221=⫏≰-20102210","layer":1},{"info":"⫏≰10010200⪐=⫏≰20021100","layer":3},{"info":"⫏≰20021100⪐=⫏≰110112200","layer":2},{"info":"⨞⊢⫏≰110112200=⫏≰-110210010","layer":1},{"info":"⫏≰-20102210↙⫏≰-110210010=⫏≰-20102210","layer":0}]}
{"id":252,"expression_no_base_symbol":"(($2711$↙$6130$*$1308$⪄$4244$)⋫)⩨(≤/(⫓⪴($8066$≧⫂∧$2965$)))","expression":"((⫏≰10201102↙⫏≰22102001*⫏≰1210110⪄⫏≰12211012)⋫)⩨(≤/(⫓⪴(⫏≰102001202≧⫂∧⫏≰11001211)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27117,"operation_count":8,"complexity_ratio":3389.625,"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":2711,"base":3},"right_expr":{"type":"numeric_atoms","value":6130,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1308,"base":3},"right_expr":{"type":"numeric_atoms","value":4244,"base":3}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8066,"base":3},"right_expr":{"type":"numeric_atoms","value":2965,"base":3}}}}},"used_operators":["2DlMacCsIx","JL8yIekQnl","9HNa5Wba9A","yyfyN0ffXY","SUmda5xLS4","eLAdDNolq6","eLxqMNBOBk","Ph9nP6C5qx"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2711","layer":4},{"info":"number node, value=6130","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=6130, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-18390","layer":3},{"info":"number node, value=1308","layer":4},{"info":"number node, value=4244","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=4244, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-206649","layer":3},{"info":"compute binary expreesion, left_input=-18390, right_input=-206649, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"number node, value=8066","layer":4},{"info":"number node, value=2965","layer":4},{"info":"compute binary expreesion, left_input=8066, right_input=2965, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2492","layer":3},{"info":"compute unary expreesion, input=2492, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6210064","layer":2},{"info":"compute unary expreesion, input=6210064, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6209580","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6209580, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10201102↙⫏≰22102001*⫏≰1210110⪄⫏≰12211012)⋫)⩨(≤/(⫓⪴(⫏≰102001202≧⫂∧⫏≰11001211)))=NaN","reverse_text":"NaN=((⫏≰10201102↙⫏≰22102001*⫏≰1210110⪄⫏≰12211012)⋫)⩨(≤/(⫓⪴(⫏≰102001202≧⫂∧⫏≰11001211)))","cot":[{"info":"⫏≰10201102↙⫏≰22102001=⫏≰-221020010","layer":3},{"info":"⫏≰1210110⪄⫏≰12211012=⫏≰-101111110200","layer":3},{"info":"⫏≰-221020010*⫏≰-101111110200=Inf","layer":2},{"info":"Inf⋫=NaN","layer":1},{"info":"⫏≰102001202≧⫂∧⫏≰11001211=⫏≰10102022","layer":3},{"info":"⫓⪴⫏≰10102022=⫏≰102200111121101","layer":2},{"info":"≤/⫏≰102200111121101=⫏≰-102200110221110","layer":1},{"info":"NaN⩨⫏≰-102200110221110=NaN","layer":0}]}
{"id":253,"expression_no_base_symbol":"($6212$⪒$1043$⪨≂(⊄⩳↩$8432$))⊉≛↸($1535$⨳⩥⨓$7415$)⨓(↯⪼$2089$)⨸⪁((≦∁$3149$⨽$2842$)⨁⊸⫻)","expression":"(⫏≰22112002⪒⫏≰1102122⪨≂(⊄⩳↩⫏≰102120022))⊉≛↸(⫏≰2002212⨳⩥⨓⫏≰101011122)⨓(↯⪼⫏≰2212101)⨸⪁((≦∁⫏≰11022122⨽⫏≰10220021)⨁⊸⫻)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":102118,"operation_count":11,"complexity_ratio":9283.454545454546,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6212,"base":3},"right_expr":{"type":"numeric_atoms","value":1043,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":8432,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1535,"base":3},"right_expr":{"type":"numeric_atoms","value":7415,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2089,"base":3}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3149,"base":3},"right_expr":{"type":"numeric_atoms","value":2842,"base":3}}}}},"used_operators":["g55IO6H4Gj","DZ8iAZOCBD","sdazOOVcIp","f6k1SAg4EE","8w2t5hMYqp","3ViojmjbAp","nCS4ZIUYfx","8jW3W4yZS5","glklzrTFfD","9ICcGScMcE","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫏≰21100201120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6212","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=6212, right_input=1043, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7255","layer":3},{"info":"number node, value=8432","layer":4},{"info":"compute unary expreesion, input=8432, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-25296","layer":3},{"info":"compute binary expreesion, left_input=-7255, right_input=-25296, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=36184","layer":2},{"info":"number node, value=1535","layer":4},{"info":"number node, value=7415","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=7415, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5880","layer":3},{"info":"number node, value=2089","layer":4},{"info":"compute unary expreesion, input=2089, 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=5880, right_input=-21, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-24","layer":2},{"info":"compute binary expreesion, left_input=36184, right_input=-24, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=72368","layer":1},{"info":"number node, value=3149","layer":4},{"info":"number node, value=2842","layer":4},{"info":"compute binary expreesion, left_input=3149, right_input=2842, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-29755815","layer":3},{"info":"compute unary expreesion, input=-29755815, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=72368, right_input=67, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=144870","layer":0}],"base":3,"result_base":3,"text":"(⫏≰22112002⪒⫏≰1102122⪨≂(⊄⩳↩⫏≰102120022))⊉≛↸(⫏≰2002212⨳⩥⨓⫏≰101011122)⨓(↯⪼⫏≰2212101)⨸⪁((≦∁⫏≰11022122⨽⫏≰10220021)⨁⊸⫻)=⫏≰21100201120","reverse_text":"⫏≰21100201120=(⫏≰22112002⪒⫏≰1102122⪨≂(⊄⩳↩⫏≰102120022))⊉≛↸(⫏≰2002212⨳⩥⨓⫏≰101011122)⨓(↯⪼⫏≰2212101)⨸⪁((≦∁⫏≰11022122⨽⫏≰10220021)⨁⊸⫻)","cot":[{"info":"⫏≰22112002⪒⫏≰1102122=⫏≰-100221201","layer":3},{"info":"⊄⩳↩⫏≰102120022=⫏≰-1021200220","layer":3},{"info":"⫏≰-100221201⪨≂⫏≰-1021200220=⫏≰1211122011","layer":2},{"info":"⫏≰2002212⨳⩥⨓⫏≰101011122=⫏≰22001210","layer":3},{"info":"↯⪼⫏≰2212101=⫏≰-210","layer":3},{"info":"⫏≰22001210⨓⫏≰-210=⫏≰-220","layer":2},{"info":"⫏≰1211122011⊉≛↸⫏≰-220=⫏≰10200021022","layer":1},{"info":"⫏≰11022122⨽⫏≰10220021=⫏≰-2001222202022020","layer":3},{"info":"≦∁⫏≰-2001222202022020=⫏≰2111","layer":2},{"info":"⫏≰2111⨁⊸⫻=⫏≰2111","layer":1},{"info":"⫏≰10200021022⨸⪁⫏≰2111=⫏≰21100201120","layer":0}]}
{"id":254,"expression_no_base_symbol":"≉(⨈⫕$6690$)⨐⩸⫘$1255$≭$1885$⪄(↔$2614$)⨐⩸⫘($2111$/$2373$)","expression":"≉(⨈⫕⫏≰100011210)⨐⩸⫘⫏≰1201111≭⫏≰2120211⪄(↔⫏≰10120211)⨐⩸⫘(⫏≰2220012/⫏≰10020220)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":420,"operation_count":8,"complexity_ratio":52.5,"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":6690,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1255,"base":3},"right_expr":{"type":"numeric_atoms","value":1885,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2614,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2111,"base":3},"right_expr":{"type":"numeric_atoms","value":2373,"base":3}}}}},"used_operators":["e1ybzncUwg","SUmda5xLS4","fu6greOZ01","megm06wKyl","rxpJgHHUmx","ruOEQAzv1W","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z"],"result":"⫏≰20012001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6690","layer":4},{"info":"compute unary expreesion, input=6690, 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=1255","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=1885, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2614","layer":4},{"info":"compute unary expreesion, input=2614, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2341","layer":3},{"info":"number node, value=2111","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=2111, right_input=2373, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2341, 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=-2341","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2341, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4510","layer":0}],"base":3,"result_base":3,"text":"≉(⨈⫕⫏≰100011210)⨐⩸⫘⫏≰1201111≭⫏≰2120211⪄(↔⫏≰10120211)⨐⩸⫘(⫏≰2220012/⫏≰10020220)=⫏≰20012001","reverse_text":"⫏≰20012001=≉(⨈⫕⫏≰100011210)⨐⩸⫘⫏≰1201111≭⫏≰2120211⪄(↔⫏≰10120211)⨐⩸⫘(⫏≰2220012/⫏≰10020220)","cot":[{"info":"⨈⫕⫏≰100011210=⫏≰-210","layer":3},{"info":"⫏≰1201111≭⫏≰2120211=NaN","layer":3},{"info":"⫏≰-210⨐⩸⫘NaN=NaN","layer":2},{"info":"↔⫏≰10120211=⫏≰-10012201","layer":3},{"info":"⫏≰2220012/⫏≰10020220=⫏≰0","layer":3},{"info":"⫏≰-10012201⨐⩸⫘⫏≰0=⫏≰-10012201","layer":2},{"info":"NaN⪄⫏≰-10012201=⫏≰12110101","layer":1},{"info":"≉⫏≰12110101=⫏≰20012001","layer":0}]}
{"id":255,"expression_no_base_symbol":"((($6792$⪠⩆⊳)⫸⊐($3376$⪠⩆⊳))⩠)⫡⨏(↽≂$1118$)⊭↱($3915$⩨$1185$)∲⫓$2700$≹⇙⪍$5787$⪄($3281$⊭↱$3959$)","expression":"(((⫏≰100022120⪠⩆⊳)⫸⊐(⫏≰11122001⪠⩆⊳))⩠)⫡⨏(↽≂⫏≰1112102)⊭↱(⫏≰12101000⩨⫏≰1121220)∲⫓⫏≰10201000≹⇙⪍⫏≰21221100⪄(⫏≰11111112⊭↱⫏≰12102122)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":85,"operation_count":12,"complexity_ratio":7.083333333333333,"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":6792,"base":3}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3376,"base":3}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1118,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3915,"base":3},"right_expr":{"type":"numeric_atoms","value":1185,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2700,"base":3},"right_expr":{"type":"numeric_atoms","value":5787,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3281,"base":3},"right_expr":{"type":"numeric_atoms","value":3959,"base":3}}}}},"used_operators":["QMFrweE19q","sJAwomhLZr","mqXw5SEYmG","JLbD19bQDL","i8ToyICDmI","COABgblf1C","u6S6b8DprG","2DlMacCsIx","SUmda5xLS4","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6792","layer":4},{"info":"compute unary expreesion, input=6792, 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=3376","layer":4},{"info":"compute unary expreesion, input=3376, 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=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 unary expreesion, input=0, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"number node, value=1118","layer":4},{"info":"compute unary expreesion, input=1118, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2236","layer":3},{"info":"number node, value=3915","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=3915, right_input=1185, 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=-2236, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4477","layer":2},{"info":"number node, value=2700","layer":4},{"info":"number node, value=5787","layer":4},{"info":"compute binary expreesion, left_input=2700, right_input=5787, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3281","layer":4},{"info":"number node, value=3959","layer":4},{"info":"compute binary expreesion, left_input=3281, right_input=3959, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1361","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1361, 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=4477, right_input=3979, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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":3,"result_base":3,"text":"(((⫏≰100022120⪠⩆⊳)⫸⊐(⫏≰11122001⪠⩆⊳))⩠)⫡⨏(↽≂⫏≰1112102)⊭↱(⫏≰12101000⩨⫏≰1121220)∲⫓⫏≰10201000≹⇙⪍⫏≰21221100⪄(⫏≰11111112⊭↱⫏≰12102122)=NaN","reverse_text":"NaN=(((⫏≰100022120⪠⩆⊳)⫸⊐(⫏≰11122001⪠⩆⊳))⩠)⫡⨏(↽≂⫏≰1112102)⊭↱(⫏≰12101000⩨⫏≰1121220)∲⫓⫏≰10201000≹⇙⪍⫏≰21221100⪄(⫏≰11111112⊭↱⫏≰12102122)","cot":[{"info":"⫏≰100022120⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰11122001⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰0⫸⊐⫏≰0=⫏≰0","layer":2},{"info":"⫏≰0⩠=NaN","layer":1},{"info":"↽≂⫏≰1112102=⫏≰-10001211","layer":3},{"info":"⫏≰12101000⩨⫏≰1121220=⫏≰0","layer":3},{"info":"⫏≰-10001211⊭↱⫏≰0=⫏≰20010211","layer":2},{"info":"⫏≰10201000≹⇙⪍⫏≰21221100=NaN","layer":3},{"info":"⫏≰11111112⊭↱⫏≰12102122=⫏≰1212102","layer":3},{"info":"NaN⪄⫏≰1212102=⫏≰12110101","layer":2},{"info":"⫏≰20010211∲⫓⫏≰12110101=⫏≰0","layer":1},{"info":"NaN⫡⨏⫏≰0=NaN","layer":0}]}
{"id":256,"expression_no_base_symbol":"⋗⩬⋾(⋗⩬⋾(+⊝⨔($1055$⋫)))","expression":"⋗⩬⋾(⋗⩬⋾(+⊝⨔(⫏≰1110002⋫)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1101,"operation_count":4,"complexity_ratio":275.25,"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":1055,"base":3}}}}},"used_operators":["DpFCA1CohY","DhbWaqg5eL","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x"],"result":"⫏≰200210100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1055","layer":3},{"info":"compute unary expreesion, input=1055, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4566","layer":1},{"info":"compute unary expreesion, input=-4566, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=13698","layer":0}],"base":3,"result_base":3,"text":"⋗⩬⋾(⋗⩬⋾(+⊝⨔(⫏≰1110002⋫)))=⫏≰200210100","reverse_text":"⫏≰200210100=⋗⩬⋾(⋗⩬⋾(+⊝⨔(⫏≰1110002⋫)))","cot":[{"info":"⫏≰1110002⋫=⫏≰1110002","layer":3},{"info":"+⊝⨔⫏≰1110002=⫏≰2002101","layer":2},{"info":"⋗⩬⋾⫏≰2002101=⫏≰-20021010","layer":1},{"info":"⋗⩬⋾⫏≰-20021010=⫏≰200210100","layer":0}]}
{"id":257,"expression_no_base_symbol":"(($3326$⨸⪁$5180$)⋳⪒$5833$∼$1279$⋷(⨑⩽⪐$8656$)-($1328$/$1551$))⪒($3709$∼$2990$⪠⩆⊳)⨽($1084$⨎$2653$)⨟⋌⩍(↩$4302$)","expression":"((⫏≰11120012⨸⪁⫏≰21002212)⋳⪒⫏≰22000001∼⫏≰1202101⋷(⨑⩽⪐⫏≰102212121)-(⫏≰1211012/⫏≰2010110))⪒(⫏≰12002101∼⫏≰11002202⪠⩆⊳)⨽(⫏≰1111011⨎⫏≰10122021)⨟⋌⩍(↩⫏≰12220100)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":245,"operation_count":14,"complexity_ratio":17.5,"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":3326,"base":3},"right_expr":{"type":"numeric_atoms","value":5180,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5833,"base":3},"right_expr":{"type":"numeric_atoms","value":1279,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8656,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1328,"base":3},"right_expr":{"type":"numeric_atoms","value":1551,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3709,"base":3},"right_expr":{"type":"numeric_atoms","value":2990,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1084,"base":3},"right_expr":{"type":"numeric_atoms","value":2653,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4302,"base":3}}}}},"used_operators":["f6k1SAg4EE","23Mk6UjR3U","12rbrZMWeM","g55IO6H4Gj","DyGG3AbaNP","rysDP5nf3Z","AF7qkfDlqP","XhwjNDsVaA","8HhzD0ZcuI","JLbD19bQDL","rGHVDoGpnC","rJVOvQCfKK","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3326","layer":4},{"info":"number node, value=5180","layer":4},{"info":"compute binary expreesion, left_input=3326, right_input=5180, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17012","layer":3},{"info":"number node, value=5833","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=5833, right_input=1279, 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=17012, 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=8656","layer":4},{"info":"compute unary expreesion, input=8656, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8383","layer":3},{"info":"number node, value=1328","layer":4},{"info":"number node, value=1551","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=1551, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8383, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-8383","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8383, 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=3709","layer":4},{"info":"number node, value=2990","layer":4},{"info":"compute binary expreesion, left_input=3709, right_input=2990, 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 = 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=1084","layer":4},{"info":"number node, value=2653","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=2653, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2653","layer":3},{"info":"number node, value=4302","layer":4},{"info":"compute unary expreesion, input=4302, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-31636","layer":3},{"info":"compute binary expreesion, left_input=2653, right_input=-31636, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11120012⨸⪁⫏≰21002212)⋳⪒⫏≰22000001∼⫏≰1202101⋷(⨑⩽⪐⫏≰102212121)-(⫏≰1211012/⫏≰2010110))⪒(⫏≰12002101∼⫏≰11002202⪠⩆⊳)⨽(⫏≰1111011⨎⫏≰10122021)⨟⋌⩍(↩⫏≰12220100)=NaN","reverse_text":"NaN=((⫏≰11120012⨸⪁⫏≰21002212)⋳⪒⫏≰22000001∼⫏≰1202101⋷(⨑⩽⪐⫏≰102212121)-(⫏≰1211012/⫏≰2010110))⪒(⫏≰12002101∼⫏≰11002202⪠⩆⊳)⨽(⫏≰1111011⨎⫏≰10122021)⨟⋌⩍(↩⫏≰12220100)","cot":[{"info":"⫏≰11120012⨸⪁⫏≰21002212=⫏≰212100002","layer":3},{"info":"⫏≰22000001∼⫏≰1202101=NaN","layer":3},{"info":"⫏≰212100002⋳⪒NaN=NaN","layer":2},{"info":"⨑⩽⪐⫏≰102212121=⫏≰-102111111","layer":3},{"info":"⫏≰1211012/⫏≰2010110=⫏≰0","layer":3},{"info":"⫏≰-102111111-⫏≰0=⫏≰-102111111","layer":2},{"info":"NaN⋷⫏≰-102111111=NaN","layer":1},{"info":"⫏≰12002101∼⫏≰11002202=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"⫏≰1111011⨎⫏≰10122021=⫏≰10122021","layer":3},{"info":"↩⫏≰12220100=⫏≰-1121101201","layer":3},{"info":"⫏≰10122021⨟⋌⩍⫏≰-1121101201=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":258,"expression_no_base_symbol":"(≦∁($1085$↙$1649$⪐))⨓(⊥((⨑⩽⪐$4594$)*($3302$/$2258$)))","expression":"(≦∁(⫏≰1111012↙⫏≰2021002⪐))⨓(⊥((⨑⩽⪐⫏≰20022011)*(⫏≰11112022/⫏≰10002122)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1726,"operation_count":8,"complexity_ratio":215.75,"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":1085,"base":3},"right_expr":{"type":"numeric_atoms","value":1649,"base":3}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4594,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3302,"base":3},"right_expr":{"type":"numeric_atoms","value":2258,"base":3}}}}},"used_operators":["3ViojmjbAp","9ICcGScMcE","eH2TOUuTDT","yyfyN0ffXY","Q3PJZHRvZv","9HNa5Wba9A","AF7qkfDlqP","XhwjNDsVaA"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1085","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=1649, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4947","layer":3},{"info":"compute unary expreesion, input=-4947, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-9894","layer":2},{"info":"compute unary expreesion, input=-9894, 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":"number node, value=4594","layer":4},{"info":"compute unary expreesion, input=4594, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4321","layer":3},{"info":"number node, value=3302","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=3302, right_input=2258, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-4321, right_input=1, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-4321","layer":2},{"info":"compute unary expreesion, input=-4321, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≦∁(⫏≰1111012↙⫏≰2021002⪐))⨓(⊥((⨑⩽⪐⫏≰20022011)*(⫏≰11112022/⫏≰10002122)))=NaN","reverse_text":"NaN=(≦∁(⫏≰1111012↙⫏≰2021002⪐))⨓(⊥((⨑⩽⪐⫏≰20022011)*(⫏≰11112022/⫏≰10002122)))","cot":[{"info":"⫏≰1111012↙⫏≰2021002=⫏≰-20210020","layer":3},{"info":"⫏≰-20210020⪐=⫏≰-111120110","layer":2},{"info":"≦∁⫏≰-111120110=⫏≰2111","layer":1},{"info":"⨑⩽⪐⫏≰20022011=⫏≰-12221001","layer":3},{"info":"⫏≰11112022/⫏≰10002122=⫏≰1","layer":3},{"info":"⫏≰-12221001*⫏≰1=⫏≰-12221001","layer":2},{"info":"⊥⫏≰-12221001=NaN","layer":1},{"info":"⫏≰2111⨓NaN=NaN","layer":0}]}
{"id":259,"expression_no_base_symbol":"(⊥(($4450$⫸⊐$4714$)⨽$3619$⋝⋈⪟$5831$))≎⊠⪸((≉$2585$)⨵⪆($1188$⇋≉))⩷∴(($1003$⨵⪆$2382$)⩨($2764$⋫))","expression":"(⊥((⫏≰20002211⫸⊐⫏≰20110121)⨽⫏≰11222001⋝⋈⪟⫏≰21222222))≎⊠⪸((≉⫏≰10112202)⨵⪆(⫏≰1122000⇋≉))⩷∴((⫏≰1101011⨵⪆⫏≰10021020)⩨(⫏≰10210101⋫))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21577,"operation_count":12,"complexity_ratio":1798.0833333333333,"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":4450,"base":3},"right_expr":{"type":"numeric_atoms","value":4714,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3619,"base":3},"right_expr":{"type":"numeric_atoms","value":5831,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2585,"base":3}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1188,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1003,"base":3},"right_expr":{"type":"numeric_atoms","value":2382,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2764,"base":3}}}}},"used_operators":["bJkvcejdHO","Q3PJZHRvZv","8HhzD0ZcuI","mqXw5SEYmG","2DDjHMKMc0","9FxExcQeMw","2DQ55sFlQl","e1ybzncUwg","XIabStNQrY","2DlMacCsIx","JL8yIekQnl"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","fu6greOZ01","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4450","layer":4},{"info":"number node, value=4714","layer":4},{"info":"compute binary expreesion, left_input=4450, right_input=4714, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18731","layer":3},{"info":"number node, value=3619","layer":4},{"info":"number node, value=5831","layer":4},{"info":"compute binary expreesion, left_input=3619, right_input=5831, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3619","layer":3},{"info":"compute binary expreesion, left_input=18731, right_input=3619, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1052560626","layer":2},{"info":"compute unary expreesion, input=-1052560626, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2585","layer":4},{"info":"compute unary expreesion, input=2585, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3116","layer":3},{"info":"number node, value=1188","layer":4},{"info":"compute unary expreesion, input=1188, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2278","layer":3},{"info":"compute binary expreesion, left_input=3116, right_input=2278, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1003","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=2382, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2764","layer":4},{"info":"compute unary expreesion, input=2764, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2764","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2764, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-51","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-51, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=390","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=390, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊥((⫏≰20002211⫸⊐⫏≰20110121)⨽⫏≰11222001⋝⋈⪟⫏≰21222222))≎⊠⪸((≉⫏≰10112202)⨵⪆(⫏≰1122000⇋≉))⩷∴((⫏≰1101011⨵⪆⫏≰10021020)⩨(⫏≰10210101⋫))=NaN","reverse_text":"NaN=(⊥((⫏≰20002211⫸⊐⫏≰20110121)⨽⫏≰11222001⋝⋈⪟⫏≰21222222))≎⊠⪸((≉⫏≰10112202)⨵⪆(⫏≰1122000⇋≉))⩷∴((⫏≰1101011⨵⪆⫏≰10021020)⩨(⫏≰10210101⋫))","cot":[{"info":"⫏≰20002211⫸⊐⫏≰20110121=⫏≰221200202","layer":3},{"info":"⫏≰11222001⋝⋈⪟⫏≰21222222=⫏≰11222001","layer":3},{"info":"⫏≰221200202⨽⫏≰11222001=⫏≰-2201100120121201220","layer":2},{"info":"⊥⫏≰-2201100120121201220=NaN","layer":1},{"info":"≉⫏≰10112202=⫏≰11021102","layer":3},{"info":"⫏≰1122000⇋≉=⫏≰10010101","layer":3},{"info":"⫏≰11021102⨵⪆⫏≰10010101=⫏≰12221","layer":2},{"info":"⫏≰1101011⨵⪆⫏≰10021020=⫏≰12221","layer":3},{"info":"⫏≰10210101⋫=⫏≰10210101","layer":3},{"info":"⫏≰12221⩨⫏≰10210101=⫏≰-1220","layer":2},{"info":"⫏≰12221⩷∴⫏≰-1220=⫏≰112110","layer":1},{"info":"NaN≎⊠⪸⫏≰112110=NaN","layer":0}]}
{"id":260,"expression_no_base_symbol":"↥(↥(↣≠⋷(≦∁$3152$)))","expression":"↥(↥(↣≠⋷(≦∁⫏≰11022202)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":4,"complexity_ratio":1.5,"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":3152,"base":3}}}}},"used_operators":["A8NUZmVepG","Asc51vEJeQ","9ICcGScMcE"],"dependent_operators":["k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3152","layer":4},{"info":"compute unary expreesion, input=3152, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3152","layer":3},{"info":"compute unary expreesion, input=3152, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↥(↥(↣≠⋷(≦∁⫏≰11022202)))=NaN","reverse_text":"NaN=↥(↥(↣≠⋷(≦∁⫏≰11022202)))","cot":[{"info":"≦∁⫏≰11022202=⫏≰11022202","layer":3},{"info":"↣≠⋷⫏≰11022202=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":261,"expression_no_base_symbol":"(($1196$⪒$1322$)∀⇚≩(≤/$3080$)↙($1882$⨁⊸⫻)⨽$1298$⫥∨⫟$2204$)∸","expression":"((⫏≰1122022⪒⫏≰1210222)∀⇚≩(≤/⫏≰11020002)↙(⫏≰2120201⨁⊸⫻)⨽⫏≰1210002⫥∨⫟⫏≰10000122)∸","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19854,"operation_count":8,"complexity_ratio":2481.75,"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":1196,"base":3},"right_expr":{"type":"numeric_atoms","value":1322,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3080,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1882,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1298,"base":3},"right_expr":{"type":"numeric_atoms","value":2204,"base":3}}}}},"used_operators":["o20kRiQErp","yyfyN0ffXY","LRNGc0VcxI","f6k1SAg4EE","eLAdDNolq6","8HhzD0ZcuI","glklzrTFfD","KYD54nUTWz"],"dependent_operators":["tmPS8pqC7x","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1196","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=1322, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2518","layer":3},{"info":"number node, value=3080","layer":4},{"info":"compute unary expreesion, input=3080, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2596","layer":3},{"info":"compute binary expreesion, left_input=-2518, right_input=-2596, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1882","layer":4},{"info":"compute unary expreesion, input=1882, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1882","layer":3},{"info":"number node, value=1298","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=2204, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1882, 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=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1122022⪒⫏≰1210222)∀⇚≩(≤/⫏≰11020002)↙(⫏≰2120201⨁⊸⫻)⨽⫏≰1210002⫥∨⫟⫏≰10000122)∸=⫏≰20120","reverse_text":"⫏≰20120=((⫏≰1122022⪒⫏≰1210222)∀⇚≩(≤/⫏≰11020002)↙(⫏≰2120201⨁⊸⫻)⨽⫏≰1210002⫥∨⫟⫏≰10000122)∸","cot":[{"info":"⫏≰1122022⪒⫏≰1210222=⫏≰-10110021","layer":3},{"info":"≤/⫏≰11020002=⫏≰-10120011","layer":3},{"info":"⫏≰-10110021∀⇚≩⫏≰-10120011=NaN","layer":2},{"info":"⫏≰2120201⨁⊸⫻=⫏≰2120201","layer":3},{"info":"⫏≰1210002⫥∨⫟⫏≰10000122=NaN","layer":3},{"info":"⫏≰2120201⨽NaN=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"NaN∸=⫏≰20120","layer":0}]}
{"id":262,"expression_no_base_symbol":"⫓⪴((↩$1659$)⪮%⊝($2652$⨳⩥⨓$2128$)⪒($1135$+$3737$)⪒$2774$≹⇙⪍$2597$)","expression":"⫓⪴((↩⫏≰2021110)⪮%⊝(⫏≰10122020⨳⩥⨓⫏≰2220211)⪒(⫏≰1120001+⫏≰12010102)⪒⫏≰10210202≹⇙⪍⫏≰10120012)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37,"operation_count":8,"complexity_ratio":4.625,"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":1659,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2652,"base":3},"right_expr":{"type":"numeric_atoms","value":2128,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1135,"base":3},"right_expr":{"type":"numeric_atoms","value":3737,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2774,"base":3},"right_expr":{"type":"numeric_atoms","value":2597,"base":3}}}}},"used_operators":["eLxqMNBOBk","f6k1SAg4EE","IWmyXbctLI","jLgFTUHLKL","nCS4ZIUYfx","W4YGzv6Whe","AHs5Up7iyr"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1659","layer":4},{"info":"compute unary expreesion, input=1659, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10492","layer":3},{"info":"number node, value=2652","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=2128, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-524","layer":3},{"info":"compute binary expreesion, left_input=-10492, right_input=-524, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-20668","layer":2},{"info":"number node, value=1135","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=3737, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4872","layer":3},{"info":"number node, value=2774","layer":4},{"info":"number node, value=2597","layer":4},{"info":"compute binary expreesion, left_input=2774, right_input=2597, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4872, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-20668, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫓⪴((↩⫏≰2021110)⪮%⊝(⫏≰10122020⨳⩥⨓⫏≰2220211)⪒(⫏≰1120001+⫏≰12010102)⪒⫏≰10210202≹⇙⪍⫏≰10120012)=NaN","reverse_text":"NaN=⫓⪴((↩⫏≰2021110)⪮%⊝(⫏≰10122020⨳⩥⨓⫏≰2220211)⪒(⫏≰1120001+⫏≰12010102)⪒⫏≰10210202≹⇙⪍⫏≰10120012)","cot":[{"info":"↩⫏≰2021110=⫏≰-112101121","layer":3},{"info":"⫏≰10122020⨳⩥⨓⫏≰2220211=⫏≰-201102","layer":3},{"info":"⫏≰-112101121⪮%⊝⫏≰-201102=⫏≰-1001100111","layer":2},{"info":"⫏≰1120001+⫏≰12010102=⫏≰20200110","layer":3},{"info":"⫏≰10210202≹⇙⪍⫏≰10120012=NaN","layer":3},{"info":"⫏≰20200110⪒NaN=NaN","layer":2},{"info":"⫏≰-1001100111⪒NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":263,"expression_no_base_symbol":"↔((∥⊫(≤/$1614$))⇼⇔∾($6195$⨪↰⇹$1246$)⪛(↽≂$2195$))","expression":"↔((∥⊫(≤/⫏≰2012210))⇼⇔∾(⫏≰22111110⨪↰⇹⫏≰1201011)⪛(↽≂⫏≰10000022))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6230,"operation_count":7,"complexity_ratio":890.0,"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":1614,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6195,"base":3},"right_expr":{"type":"numeric_atoms","value":1246,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2195,"base":3}}}}},"used_operators":["ruOEQAzv1W","tifHPKVTfV","P8v4zCKN1o","eLAdDNolq6","uFcxV4UQCh","tmPS8pqC7x","u6S6b8DprG"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1614","layer":4},{"info":"compute unary expreesion, input=1614, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1130","layer":3},{"info":"compute unary expreesion, input=-1130, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=6195","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=6195, right_input=1246, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6195","layer":3},{"info":"number node, value=2195","layer":4},{"info":"compute unary expreesion, input=2195, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4390","layer":3},{"info":"compute binary expreesion, left_input=6195, right_input=-4390, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2585","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=-2585, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2530","layer":1},{"info":"compute unary expreesion, input=-2530, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":3,"result_base":3,"text":"↔((∥⊫(≤/⫏≰2012210))⇼⇔∾(⫏≰22111110⨪↰⇹⫏≰1201011)⪛(↽≂⫏≰10000022))=⫏≰-11222","reverse_text":"⫏≰-11222=↔((∥⊫(≤/⫏≰2012210))⇼⇔∾(⫏≰22111110⨪↰⇹⫏≰1201011)⪛(↽≂⫏≰10000022))","cot":[{"info":"≤/⫏≰2012210=⫏≰-1112212","layer":3},{"info":"∥⊫⫏≰-1112212=⫏≰-2001","layer":2},{"info":"⫏≰22111110⨪↰⇹⫏≰1201011=⫏≰22111110","layer":3},{"info":"↽≂⫏≰10000022=⫏≰-20000121","layer":3},{"info":"⫏≰22111110⪛⫏≰-20000121=⫏≰-10112202","layer":2},{"info":"⫏≰-2001⇼⇔∾⫏≰-10112202=⫏≰-10110201","layer":1},{"info":"↔⫏≰-10110201=⫏≰-11222","layer":0}]}
{"id":264,"expression_no_base_symbol":"⫓⪴(($1863$⩷∴$2133$⨽$2010$≹⇙⪍$3067$)⩷∴($7718$≧⫂∧$4767$⫸⊐$2295$≹⇙⪍$1449$))","expression":"⫓⪴((⫏≰2120000⩷∴⫏≰2221000⨽⫏≰2202110≹⇙⪍⫏≰11012121)⩷∴(⫏≰101120212≧⫂∧⫏≰20112120⫸⊐⫏≰10011000≹⇙⪍⫏≰1222200))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":619,"operation_count":8,"complexity_ratio":77.375,"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":1863,"base":3},"right_expr":{"type":"numeric_atoms","value":2133,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2010,"base":3},"right_expr":{"type":"numeric_atoms","value":3067,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7718,"base":3},"right_expr":{"type":"numeric_atoms","value":4767,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2295,"base":3},"right_expr":{"type":"numeric_atoms","value":1449,"base":3}}}}},"used_operators":["eLxqMNBOBk","9FxExcQeMw","8HhzD0ZcuI","AHs5Up7iyr","mqXw5SEYmG","Ph9nP6C5qx"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1863","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=2133, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-572","layer":3},{"info":"number node, value=2010","layer":4},{"info":"number node, value=3067","layer":4},{"info":"compute binary expreesion, left_input=2010, right_input=3067, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-572, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=7718","layer":4},{"info":"number node, value=4767","layer":4},{"info":"compute binary expreesion, left_input=7718, right_input=4767, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4294","layer":3},{"info":"number node, value=2295","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=2295, right_input=1449, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4294, 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 = 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫓⪴((⫏≰2120000⩷∴⫏≰2221000⨽⫏≰2202110≹⇙⪍⫏≰11012121)⩷∴(⫏≰101120212≧⫂∧⫏≰20112120⫸⊐⫏≰10011000≹⇙⪍⫏≰1222200))=NaN","reverse_text":"NaN=⫓⪴((⫏≰2120000⩷∴⫏≰2221000⨽⫏≰2202110≹⇙⪍⫏≰11012121)⩷∴(⫏≰101120212≧⫂∧⫏≰20112120⫸⊐⫏≰10011000≹⇙⪍⫏≰1222200))","cot":[{"info":"⫏≰2120000⩷∴⫏≰2221000=⫏≰-210012","layer":3},{"info":"⫏≰2202110≹⇙⪍⫏≰11012121=NaN","layer":3},{"info":"⫏≰-210012⨽NaN=NaN","layer":2},{"info":"⫏≰101120212≧⫂∧⫏≰20112120=⫏≰12220001","layer":3},{"info":"⫏≰10011000≹⇙⪍⫏≰1222200=NaN","layer":3},{"info":"⫏≰12220001⫸⊐NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":265,"expression_no_base_symbol":"((∂$2855$)∀⇚≩$8025$⪛$2086$⊘)⨓(($7526$∼$1589$⪄($3051$⨸⪁$2827$))⪐)","expression":"((∂⫏≰10220202)∀⇚≩⫏≰102000020⪛⫏≰2212021⊘)⨓((⫏≰101022202∼⫏≰2011212⪄(⫏≰11012000⨸⪁⫏≰10212201))⪐)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8169,"operation_count":9,"complexity_ratio":907.6666666666666,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2855,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8025,"base":3},"right_expr":{"type":"numeric_atoms","value":2086,"base":3}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7526,"base":3},"right_expr":{"type":"numeric_atoms","value":1589,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3051,"base":3},"right_expr":{"type":"numeric_atoms","value":2827,"base":3}}}}},"used_operators":["3ViojmjbAp","gu96TGCTMs","LRNGc0VcxI","Uaa54Peajs","uFcxV4UQCh","eH2TOUuTDT","SUmda5xLS4","DyGG3AbaNP","g55IO6H4Gj"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","X99M06cbEe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe"],"result":"⫏≰-101220212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2855","layer":4},{"info":"compute unary expreesion, input=2855, 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=8025","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=8025, right_input=2086, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1767","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1767, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=7526","layer":4},{"info":"number node, value=1589","layer":4},{"info":"compute binary expreesion, left_input=7526, right_input=1589, 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=3051","layer":4},{"info":"number node, value=2827","layer":4},{"info":"compute binary expreesion, left_input=3051, right_input=2827, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11756","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11756, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7958","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7958, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7961","layer":0}],"base":3,"result_base":3,"text":"((∂⫏≰10220202)∀⇚≩⫏≰102000020⪛⫏≰2212021⊘)⨓((⫏≰101022202∼⫏≰2011212⪄(⫏≰11012000⨸⪁⫏≰10212201))⪐)=⫏≰-101220212","reverse_text":"⫏≰-101220212=((∂⫏≰10220202)∀⇚≩⫏≰102000020⪛⫏≰2212021⊘)⨓((⫏≰101022202∼⫏≰2011212⪄(⫏≰11012000⨸⪁⫏≰10212201))⪐)","cot":[{"info":"∂⫏≰10220202=NaN","layer":3},{"info":"⫏≰102000020⪛⫏≰2212021=⫏≰2102110","layer":3},{"info":"NaN∀⇚≩⫏≰2102110=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⫏≰101022202∼⫏≰2011212=NaN","layer":3},{"info":"⫏≰11012000⨸⪁⫏≰10212201=⫏≰121010102","layer":3},{"info":"NaN⪄⫏≰121010102=⫏≰12110101","layer":2},{"info":"⫏≰12110101⪐=⫏≰101220202","layer":1},{"info":"NaN⨓⫏≰101220202=⫏≰-101220212","layer":0}]}
{"id":266,"expression_no_base_symbol":"(↯⪼(($5154$⫥∨⫟$4092$)⪘⫢($1622$∲⫓$1559$)))∑⇟⊟(↣≠⋷((≉$3213$)⇼⇔∾$1936$↺$8921$))","expression":"(↯⪼((⫏≰21001220⫥∨⫟⫏≰12121120)⪘⫢(⫏≰2020002∲⫓⫏≰2010202)))∑⇟⊟(↣≠⋷((≉⫏≰11102000)⇼⇔∾⫏≰2122201↺⫏≰110020102))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":206,"operation_count":9,"complexity_ratio":22.88888888888889,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5154,"base":3},"right_expr":{"type":"numeric_atoms","value":4092,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1622,"base":3},"right_expr":{"type":"numeric_atoms","value":1559,"base":3}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3213,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1936,"base":3},"right_expr":{"type":"numeric_atoms","value":8921,"base":3}}}}},"used_operators":["U7g4x0WXJJ","8jW3W4yZS5","oacrs7FA3X","KYD54nUTWz","i8ToyICDmI","Asc51vEJeQ","tifHPKVTfV","e1ybzncUwg","7j4O788W3g"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=5154","layer":4},{"info":"number node, value=4092","layer":4},{"info":"compute binary expreesion, left_input=5154, right_input=4092, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1622","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=1559, 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 = 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=3213","layer":4},{"info":"compute unary expreesion, input=3213, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3744","layer":3},{"info":"number node, value=1936","layer":4},{"info":"number node, value=8921","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=8921, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8921","layer":3},{"info":"compute binary expreesion, left_input=3744, right_input=8921, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5177","layer":2},{"info":"compute unary expreesion, input=5177, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↯⪼((⫏≰21001220⫥∨⫟⫏≰12121120)⪘⫢(⫏≰2020002∲⫓⫏≰2010202)))∑⇟⊟(↣≠⋷((≉⫏≰11102000)⇼⇔∾⫏≰2122201↺⫏≰110020102))=NaN","reverse_text":"NaN=(↯⪼((⫏≰21001220⫥∨⫟⫏≰12121120)⪘⫢(⫏≰2020002∲⫓⫏≰2010202)))∑⇟⊟(↣≠⋷((≉⫏≰11102000)⇼⇔∾⫏≰2122201↺⫏≰110020102))","cot":[{"info":"⫏≰21001220⫥∨⫟⫏≰12121120=NaN","layer":3},{"info":"⫏≰2020002∲⫓⫏≰2010202=⫏≰0","layer":3},{"info":"NaN⪘⫢⫏≰0=NaN","layer":2},{"info":"↯⪼NaN=⫏≰-210","layer":1},{"info":"≉⫏≰11102000=⫏≰12010200","layer":3},{"info":"⫏≰2122201↺⫏≰110020102=⫏≰110020102","layer":3},{"info":"⫏≰12010200⇼⇔∾⫏≰110020102=⫏≰21002202","layer":2},{"info":"↣≠⋷⫏≰21002202=NaN","layer":1},{"info":"⫏≰-210∑⇟⊟NaN=NaN","layer":0}]}
{"id":267,"expression_no_base_symbol":"⨈⫕(((⨰⫟⨤$3365$)⩷∴($4479$⩠))∧)","expression":"⨈⫕(((⨰⫟⨤⫏≰11121122)⩷∴(⫏≰20010220⩠))∧)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13038,"operation_count":5,"complexity_ratio":2607.6,"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":3365,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4479,"base":3}}}}},"used_operators":["megm06wKyl","z63VuFQld9","9FxExcQeMw","Tw270M8GLb","sJAwomhLZr"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3365","layer":4},{"info":"compute unary expreesion, input=3365, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4479","layer":4},{"info":"compute unary expreesion, input=4479, 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 = 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":3,"result_base":3,"text":"⨈⫕(((⨰⫟⨤⫏≰11121122)⩷∴(⫏≰20010220⩠))∧)=⫏≰-210","reverse_text":"⫏≰-210=⨈⫕(((⨰⫟⨤⫏≰11121122)⩷∴(⫏≰20010220⩠))∧)","cot":[{"info":"⨰⫟⨤⫏≰11121122=NaN","layer":3},{"info":"⫏≰20010220⩠=⫏≰0","layer":3},{"info":"NaN⩷∴⫏≰0=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⨈⫕NaN=⫏≰-210","layer":0}]}
{"id":268,"expression_no_base_symbol":"($1004$⨓$1867$⨳⩥⨓($1540$⫩⊇)⊭↱(⇁⨣⪵$1679$)⪢(≉$2513$))≹⇙⪍((↽≂$7620$↬$1241$)⪮%⊝($1692$⪢$8058$≭($2261$⊭↱$1650$)))","expression":"(⫏≰1101012⨓⫏≰2120011⨳⩥⨓(⫏≰2010001⫩⊇)⊭↱(⇁⨣⪵⫏≰2022012)⪢(≉⫏≰10110002))≹⇙⪍((↽≂⫏≰101110020↬⫏≰1200222)⪮%⊝(⫏≰2022200⪢⫏≰102001110≭(⫏≰10002202⊭↱⫏≰2021010)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13010,"operation_count":14,"complexity_ratio":929.2857142857143,"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":1004,"base":3},"right_expr":{"type":"numeric_atoms","value":1867,"base":3}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1540,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1679,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2513,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":7620,"base":3},"right_expr":{"type":"numeric_atoms","value":1241,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1692,"base":3},"right_expr":{"type":"numeric_atoms","value":8058,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2261,"base":3},"right_expr":{"type":"numeric_atoms","value":1650,"base":3}}}}},"used_operators":["AHs5Up7iyr","COABgblf1C","nCS4ZIUYfx","3ViojmjbAp","BjRHVeLaeN","dWAJyo7jo9","inkyxCbjAn","e1ybzncUwg","IWmyXbctLI","u6S6b8DprG","B5M0gjZbta","rxpJgHHUmx"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1867, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1870","layer":3},{"info":"number node, value=1540","layer":4},{"info":"compute unary expreesion, input=1540, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1498","layer":3},{"info":"compute binary expreesion, left_input=-1870, right_input=-1498, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=372","layer":2},{"info":"number node, value=1679","layer":4},{"info":"compute unary expreesion, input=1679, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2513","layer":4},{"info":"compute unary expreesion, input=2513, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3044","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3044, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=372, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=7620","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=7620, right_input=1241, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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":"number node, value=1692","layer":4},{"info":"number node, value=8058","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=8058, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2261","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=2261, right_input=1650, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1217","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1217, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute 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":3,"result_base":3,"text":"(⫏≰1101012⨓⫏≰2120011⨳⩥⨓(⫏≰2010001⫩⊇)⊭↱(⇁⨣⪵⫏≰2022012)⪢(≉⫏≰10110002))≹⇙⪍((↽≂⫏≰101110020↬⫏≰1200222)⪮%⊝(⫏≰2022200⪢⫏≰102001110≭(⫏≰10002202⊭↱⫏≰2021010)))=NaN","reverse_text":"NaN=(⫏≰1101012⨓⫏≰2120011⨳⩥⨓(⫏≰2010001⫩⊇)⊭↱(⇁⨣⪵⫏≰2022012)⪢(≉⫏≰10110002))≹⇙⪍((↽≂⫏≰101110020↬⫏≰1200222)⪮%⊝(⫏≰2022200⪢⫏≰102001110≭(⫏≰10002202⊭↱⫏≰2021010)))","cot":[{"info":"⫏≰1101012⨓⫏≰2120011=⫏≰-2120021","layer":3},{"info":"⫏≰2010001⫩⊇=⫏≰-2001111","layer":3},{"info":"⫏≰-2120021⨳⩥⨓⫏≰-2001111=⫏≰111210","layer":2},{"info":"⇁⨣⪵⫏≰2022012=NaN","layer":3},{"info":"≉⫏≰10110002=⫏≰11011202","layer":3},{"info":"NaN⪢⫏≰11011202=NaN","layer":2},{"info":"⫏≰111210⊭↱NaN=NaN","layer":1},{"info":"⫏≰101110020↬⫏≰1200222=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⫏≰2022200⪢⫏≰102001110=NaN","layer":3},{"info":"⫏≰10002202⊭↱⫏≰2021010=⫏≰-1200002","layer":3},{"info":"NaN≭⫏≰-1200002=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"(($5031$⨵⪆$2685$)⪛($1627$⪘⫢$3663$)⊉≛↸($1255$∼$1630$+$2788$⋝⋈⪟$4682$))+⇶⊼(⊄⩳↩((∂$1838$)⩚⊴⇥($1187$⊭↱$3416$)))","expression":"((⫏≰20220100⨵⪆⫏≰10200110)⪛(⫏≰2020021⪘⫢⫏≰12000200)⊉≛↸(⫏≰1201111∼⫏≰2020101+⫏≰10211021⋝⋈⪟⫏≰20102102))+⇶⊼(⊄⩳↩((∂⫏≰2112002)⩚⊴⇥(⫏≰1121222⊭↱⫏≰11200112)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":66,"operation_count":12,"complexity_ratio":5.5,"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":5031,"base":3},"right_expr":{"type":"numeric_atoms","value":2685,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1627,"base":3},"right_expr":{"type":"numeric_atoms","value":3663,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1255,"base":3},"right_expr":{"type":"numeric_atoms","value":1630,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2788,"base":3},"right_expr":{"type":"numeric_atoms","value":4682,"base":3}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1838,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1187,"base":3},"right_expr":{"type":"numeric_atoms","value":3416,"base":3}}}}},"used_operators":["TpPTUOHfaN","DZ8iAZOCBD","uFcxV4UQCh","2DQ55sFlQl","oacrs7FA3X","W4YGzv6Whe","DyGG3AbaNP","2DDjHMKMc0","8w2t5hMYqp","NTOWxs364D","Uaa54Peajs","COABgblf1C"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=5031","layer":4},{"info":"number node, value=2685","layer":4},{"info":"compute binary expreesion, left_input=5031, right_input=2685, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1627","layer":4},{"info":"number node, value=3663","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=3663, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3130","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3130, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=160","layer":2},{"info":"number node, value=1255","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=1255, 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":"number node, value=2788","layer":4},{"info":"number node, value=4682","layer":4},{"info":"compute binary expreesion, left_input=2788, right_input=4682, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2788","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2788, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":1},{"info":"number node, value=1838","layer":4},{"info":"compute unary expreesion, input=1838, 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=1187","layer":4},{"info":"number node, value=3416","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=3416, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4463","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4463, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+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":"compute binary expreesion, left_input=320, 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":3,"result_base":3,"text":"((⫏≰20220100⨵⪆⫏≰10200110)⪛(⫏≰2020021⪘⫢⫏≰12000200)⊉≛↸(⫏≰1201111∼⫏≰2020101+⫏≰10211021⋝⋈⪟⫏≰20102102))+⇶⊼(⊄⩳↩((∂⫏≰2112002)⩚⊴⇥(⫏≰1121222⊭↱⫏≰11200112)))=NaN","reverse_text":"NaN=((⫏≰20220100⨵⪆⫏≰10200110)⪛(⫏≰2020021⪘⫢⫏≰12000200)⊉≛↸(⫏≰1201111∼⫏≰2020101+⫏≰10211021⋝⋈⪟⫏≰20102102))+⇶⊼(⊄⩳↩((∂⫏≰2112002)⩚⊴⇥(⫏≰1121222⊭↱⫏≰11200112)))","cot":[{"info":"⫏≰20220100⨵⪆⫏≰10200110=⫏≰12221","layer":3},{"info":"⫏≰2020021⪘⫢⫏≰12000200=⫏≰11021221","layer":3},{"info":"⫏≰12221⪛⫏≰11021221=⫏≰12221","layer":2},{"info":"⫏≰1201111∼⫏≰2020101=NaN","layer":3},{"info":"⫏≰10211021⋝⋈⪟⫏≰20102102=⫏≰10211021","layer":3},{"info":"NaN+⫏≰10211021=NaN","layer":2},{"info":"⫏≰12221⊉≛↸NaN=⫏≰102212","layer":1},{"info":"∂⫏≰2112002=NaN","layer":3},{"info":"⫏≰1121222⊭↱⫏≰11200112=⫏≰20010022","layer":3},{"info":"NaN⩚⊴⇥⫏≰20010022=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⫏≰102212+⇶⊼NaN=NaN","layer":0}]}
{"id":270,"expression_no_base_symbol":"↣≠⋷(⪝⪂⫅($1765$≫≃))≹⇙⪍(⋗⩬⋾(∥⊫$4265$))","expression":"↣≠⋷(⪝⪂⫅(⫏≰2102101≫≃))≹⇙⪍(⋗⩬⋾(∥⊫⫏≰12211222))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":168,"operation_count":6,"complexity_ratio":28.0,"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":1765,"base":3}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4265,"base":3}}}}},"used_operators":["Asc51vEJeQ","AHs5Up7iyr","XTarYq4gQB","X99M06cbEe","DpFCA1CohY","P8v4zCKN1o"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","9HNa5Wba9A","8w2t5hMYqp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1765","layer":4},{"info":"compute unary expreesion, input=1765, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4931","layer":3},{"info":"compute unary expreesion, input=4931, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-724857","layer":2},{"info":"number node, value=4265","layer":4},{"info":"compute unary expreesion, input=4265, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5133","layer":3},{"info":"compute unary expreesion, input=5133, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15399","layer":2},{"info":"compute binary expreesion, left_input=-724857, right_input=-15399, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"↣≠⋷(⪝⪂⫅(⫏≰2102101≫≃))≹⇙⪍(⋗⩬⋾(∥⊫⫏≰12211222))=NaN","reverse_text":"NaN=↣≠⋷(⪝⪂⫅(⫏≰2102101≫≃))≹⇙⪍(⋗⩬⋾(∥⊫⫏≰12211222))","cot":[{"info":"⫏≰2102101≫≃=⫏≰20202122","layer":3},{"info":"⪝⪂⫅⫏≰20202122=⫏≰-1100211022120","layer":2},{"info":"∥⊫⫏≰12211222=⫏≰21001010","layer":3},{"info":"⋗⩬⋾⫏≰21001010=⫏≰-210010100","layer":2},{"info":"⫏≰-1100211022120≹⇙⪍⫏≰-210010100=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":271,"expression_no_base_symbol":"≤/(((⨈⫕$1557$)⋫)⇼⇔∾(($6002$%$5852$)⪒$1498$⪛$2368$))","expression":"≤/(((⨈⫕⫏≰2010200)⋫)⇼⇔∾((⫏≰22020022%⫏≰22000202)⪒⫏≰2001111⪛⫏≰10020201))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":418,"operation_count":7,"complexity_ratio":59.714285714285715,"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":1557,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6002,"base":3},"right_expr":{"type":"numeric_atoms","value":5852,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1498,"base":3},"right_expr":{"type":"numeric_atoms","value":2368,"base":3}}}}},"used_operators":["eLAdDNolq6","tifHPKVTfV","JL8yIekQnl","megm06wKyl","f6k1SAg4EE","k8jYdgA6NY","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫏≰2221202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1557","layer":4},{"info":"compute unary expreesion, input=1557, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=21","layer":2},{"info":"number node, value=6002","layer":4},{"info":"number node, value=5852","layer":4},{"info":"compute binary expreesion, left_input=6002, right_input=5852, op_id = k8jYdgA6NY binary_op_definition= 'None', output=150","layer":3},{"info":"number node, value=1498","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=2368, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1498","layer":3},{"info":"compute binary expreesion, left_input=150, right_input=1498, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1648","layer":2},{"info":"compute binary expreesion, left_input=21, right_input=-1648, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1669","layer":1},{"info":"compute unary expreesion, input=-1669, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2153","layer":0}],"base":3,"result_base":3,"text":"≤/(((⨈⫕⫏≰2010200)⋫)⇼⇔∾((⫏≰22020022%⫏≰22000202)⪒⫏≰2001111⪛⫏≰10020201))=⫏≰2221202","reverse_text":"⫏≰2221202=≤/(((⨈⫕⫏≰2010200)⋫)⇼⇔∾((⫏≰22020022%⫏≰22000202)⪒⫏≰2001111⪛⫏≰10020201))","cot":[{"info":"⨈⫕⫏≰2010200=⫏≰-210","layer":3},{"info":"⫏≰-210⋫=⫏≰210","layer":2},{"info":"⫏≰22020022%⫏≰22000202=⫏≰12120","layer":3},{"info":"⫏≰2001111⪛⫏≰10020201=⫏≰2001111","layer":3},{"info":"⫏≰12120⪒⫏≰2001111=⫏≰-2021001","layer":2},{"info":"⫏≰210⇼⇔∾⫏≰-2021001=⫏≰-2021211","layer":1},{"info":"≤/⫏≰-2021211=⫏≰2221202","layer":0}]}
{"id":272,"expression_no_base_symbol":"($2676$↺$1103$-$3667$⊭↱$1217$)⋝⋈⪟(⨞⊢($5556$⪄$1030$))≭((∂(⇁⨣⪵$1372$))⋳⪒((↣≠⋷$1544$)⨵⪆$5661$⋳⪒$3879$))","expression":"(⫏≰10200010↺⫏≰1111212-⫏≰12000211⊭↱⫏≰1200002)⋝⋈⪟(⨞⊢(⫏≰21121210⪄⫏≰1102011))≭((∂(⇁⨣⪵⫏≰1212211))⋳⪒((↣≠⋷⫏≰2010012)⨵⪆⫏≰21202200⋳⪒⫏≰12022200))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":130,"operation_count":13,"complexity_ratio":10.0,"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":2676,"base":3},"right_expr":{"type":"numeric_atoms","value":1103,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3667,"base":3},"right_expr":{"type":"numeric_atoms","value":1217,"base":3}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5556,"base":3},"right_expr":{"type":"numeric_atoms","value":1030,"base":3}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1372,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1544,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5661,"base":3},"right_expr":{"type":"numeric_atoms","value":3879,"base":3}}}}},"used_operators":["rxpJgHHUmx","2DDjHMKMc0","rysDP5nf3Z","7j4O788W3g","COABgblf1C","xUOZtlo3hN","SUmda5xLS4","12rbrZMWeM","Uaa54Peajs","inkyxCbjAn","2DQ55sFlQl","Asc51vEJeQ"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2676","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=1103, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1103","layer":3},{"info":"number node, value=3667","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=3667, right_input=1217, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4895","layer":3},{"info":"compute binary expreesion, left_input=1103, right_input=-4895, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5998","layer":2},{"info":"number node, value=5556","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=5556, right_input=1030, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-822497","layer":3},{"info":"compute unary expreesion, input=-822497, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=822323","layer":2},{"info":"compute binary expreesion, left_input=5998, right_input=822323, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5998","layer":1},{"info":"number node, value=1372","layer":4},{"info":"compute unary expreesion, input=1372, op_id = inkyxCbjAn, 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":"number node, value=1544","layer":4},{"info":"compute unary expreesion, input=1544, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=5661","layer":4},{"info":"number node, value=3879","layer":4},{"info":"compute binary expreesion, left_input=5661, right_input=3879, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7156","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7156, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5998, 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":3,"result_base":3,"text":"(⫏≰10200010↺⫏≰1111212-⫏≰12000211⊭↱⫏≰1200002)⋝⋈⪟(⨞⊢(⫏≰21121210⪄⫏≰1102011))≭((∂(⇁⨣⪵⫏≰1212211))⋳⪒((↣≠⋷⫏≰2010012)⨵⪆⫏≰21202200⋳⪒⫏≰12022200))=NaN","reverse_text":"NaN=(⫏≰10200010↺⫏≰1111212-⫏≰12000211⊭↱⫏≰1200002)⋝⋈⪟(⨞⊢(⫏≰21121210⪄⫏≰1102011))≭((∂(⇁⨣⪵⫏≰1212211))⋳⪒((↣≠⋷⫏≰2010012)⨵⪆⫏≰21202200⋳⪒⫏≰12022200))","cot":[{"info":"⫏≰10200010↺⫏≰1111212=⫏≰1111212","layer":3},{"info":"⫏≰12000211⊭↱⫏≰1200002=⫏≰-20201022","layer":3},{"info":"⫏≰1111212-⫏≰-20201022=⫏≰22020011","layer":2},{"info":"⫏≰21121210⪄⫏≰1102011=⫏≰-1112210020212","layer":3},{"info":"⨞⊢⫏≰-1112210020212=⫏≰1112210000102","layer":2},{"info":"⫏≰22020011⋝⋈⪟⫏≰1112210000102=⫏≰22020011","layer":1},{"info":"⇁⨣⪵⫏≰1212211=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"↣≠⋷⫏≰2010012=NaN","layer":3},{"info":"⫏≰21202200⋳⪒⫏≰12022200=⫏≰100211001","layer":3},{"info":"NaN⨵⪆⫏≰100211001=⫏≰12221","layer":2},{"info":"NaN⋳⪒⫏≰12221=NaN","layer":1},{"info":"⫏≰22020011≭NaN=NaN","layer":0}]}
{"id":273,"expression_no_base_symbol":"($6760$⪢$7446$)≹⇙⪍($5621$⊴$7705$)⫥∨⫟($2137$⨐⩸⫘$2268$↛⩡⫤)⋥≓≎(($1415$∲⫓$4584$)*$1348$≧⫂∧$1644$↪⪝)","expression":"(⫏≰100021101⪢⫏≰101012210)≹⇙⪍(⫏≰21201012⊴⫏≰101120101)⫥∨⫟(⫏≰2221011⨐⩸⫘⫏≰10010000↛⩡⫤)⋥≓≎((⫏≰1221102∲⫓⫏≰20021210)*⫏≰1211221≧⫂∧⫏≰2020220↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15387,"operation_count":11,"complexity_ratio":1398.8181818181818,"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":6760,"base":3},"right_expr":{"type":"numeric_atoms","value":7446,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5621,"base":3},"right_expr":{"type":"numeric_atoms","value":7705,"base":3}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2137,"base":3},"right_expr":{"type":"numeric_atoms","value":2268,"base":3}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1415,"base":3},"right_expr":{"type":"numeric_atoms","value":4584,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1348,"base":3},"right_expr":{"type":"numeric_atoms","value":1644,"base":3}}}}},"used_operators":["Qy55tPpLXF","KYD54nUTWz","AHs5Up7iyr","dWAJyo7jo9","Nsiff2A1zJ","FU0Cs4j7VP","fu6greOZ01","l07mrZUIn9","9HNa5Wba9A","i8ToyICDmI","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=6760","layer":4},{"info":"number node, value=7446","layer":4},{"info":"compute binary expreesion, left_input=6760, right_input=7446, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5621","layer":4},{"info":"number node, value=7705","layer":4},{"info":"compute binary expreesion, left_input=5621, right_input=7705, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2137","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=2137, right_input=2268, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1415","layer":4},{"info":"number node, value=4584","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=4584, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1348","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=1644, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1171","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1171, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":1},{"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":0}],"base":3,"result_base":3,"text":"(⫏≰100021101⪢⫏≰101012210)≹⇙⪍(⫏≰21201012⊴⫏≰101120101)⫥∨⫟(⫏≰2221011⨐⩸⫘⫏≰10010000↛⩡⫤)⋥≓≎((⫏≰1221102∲⫓⫏≰20021210)*⫏≰1211221≧⫂∧⫏≰2020220↪⪝)=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰100021101⪢⫏≰101012210)≹⇙⪍(⫏≰21201012⊴⫏≰101120101)⫥∨⫟(⫏≰2221011⨐⩸⫘⫏≰10010000↛⩡⫤)⋥≓≎((⫏≰1221102∲⫓⫏≰20021210)*⫏≰1211221≧⫂∧⫏≰2020220↪⪝)","cot":[{"info":"⫏≰100021101⪢⫏≰101012210=NaN","layer":3},{"info":"⫏≰21201012⊴⫏≰101120101=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"⫏≰2221011⨐⩸⫘⫏≰10010000=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⫏≰1221102∲⫓⫏≰20021210=⫏≰0","layer":3},{"info":"⫏≰1211221≧⫂∧⫏≰2020220=⫏≰1121101","layer":3},{"info":"⫏≰0*⫏≰1121101=⫏≰0","layer":2},{"info":"⫏≰0↪⪝=⫏≰0","layer":1},{"info":"NaN⋥≓≎⫏≰0=⫏≰2111","layer":0}]}
{"id":274,"expression_no_base_symbol":"(($3628$⩨$2050$)∧)⨽(≉$4259$⨪↰⇹$3684$)⪐","expression":"((⫏≰11222101⩨⫏≰2210221)∧)⨽(≉⫏≰12211202⨪↰⇹⫏≰12001110)⪐","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4282,"operation_count":6,"complexity_ratio":713.6666666666666,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3628,"base":3},"right_expr":{"type":"numeric_atoms","value":2050,"base":3}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4259,"base":3},"right_expr":{"type":"numeric_atoms","value":3684,"base":3}}}}},"used_operators":["eH2TOUuTDT","8HhzD0ZcuI","z63VuFQld9","2DlMacCsIx","e1ybzncUwg","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"⫏≰-1022211010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3628","layer":4},{"info":"number node, value=2050","layer":4},{"info":"compute binary expreesion, left_input=3628, right_input=2050, 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 = 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=4259","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=4259, right_input=3684, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4259","layer":3},{"info":"compute unary expreesion, input=4259, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4790","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4790, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13056","layer":1},{"info":"compute unary expreesion, input=-13056, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-26112","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11222101⩨⫏≰2210221)∧)⨽(≉⫏≰12211202⨪↰⇹⫏≰12001110)⪐=⫏≰-1022211010","reverse_text":"⫏≰-1022211010=((⫏≰11222101⩨⫏≰2210221)∧)⨽(≉⫏≰12211202⨪↰⇹⫏≰12001110)⪐","cot":[{"info":"⫏≰11222101⩨⫏≰2210221=⫏≰0","layer":3},{"info":"⫏≰0∧=⫏≰0","layer":2},{"info":"⫏≰12211202⨪↰⇹⫏≰12001110=⫏≰12211202","layer":3},{"info":"≉⫏≰12211202=⫏≰20120102","layer":2},{"info":"⫏≰0⨽⫏≰20120102=⫏≰-122220120","layer":1},{"info":"⫏≰-122220120⪐=⫏≰-1022211010","layer":0}]}
{"id":275,"expression_no_base_symbol":"($1011$-$6791$)⋳⪒($6202$⊭↱$2705$)⨽($2102$⊘)⪢($1975$⊭∹↮)⨳⩥⨓((⨰⫟⨤$1259$)⪠⩆⊳)≭(⨵≀≌$5466$∀⇚≩$7775$)","expression":"(⫏≰1101110-⫏≰100022112)⋳⪒(⫏≰22111201⊭↱⫏≰10201012)⨽(⫏≰2212212⊘)⪢(⫏≰2201011⊭∹↮)⨳⩥⨓((⨰⫟⨤⫏≰1201122)⪠⩆⊳)≭(⨵≀≌⫏≰21111110∀⇚≩⫏≰101122222)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":51327,"operation_count":13,"complexity_ratio":3948.230769230769,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1011,"base":3},"right_expr":{"type":"numeric_atoms","value":6791,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6202,"base":3},"right_expr":{"type":"numeric_atoms","value":2705,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2102,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1975,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1259,"base":3}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5466,"base":3},"right_expr":{"type":"numeric_atoms","value":7775,"base":3}}}}},"used_operators":["nCS4ZIUYfx","8HhzD0ZcuI","12rbrZMWeM","rysDP5nf3Z","COABgblf1C","dWAJyo7jo9","gu96TGCTMs","xNBdhnnwKq","rxpJgHHUmx","JLbD19bQDL","Tw270M8GLb","srAu1WTS94","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=6791","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=6791, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5780","layer":3},{"info":"number node, value=6202","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=6202, right_input=2705, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6989","layer":3},{"info":"compute binary expreesion, left_input=-5780, right_input=-6989, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4858","layer":2},{"info":"number node, value=2102","layer":4},{"info":"compute unary expreesion, input=2102, 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=1975","layer":4},{"info":"compute unary expreesion, input=1975, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3950","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3950, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-4858, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=1259","layer":4},{"info":"compute unary expreesion, input=1259, 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 = 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=5466","layer":4},{"info":"number node, value=7775","layer":4},{"info":"compute binary expreesion, left_input=5466, right_input=7775, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1101110-⫏≰100022112)⋳⪒(⫏≰22111201⊭↱⫏≰10201012)⨽(⫏≰2212212⊘)⪢(⫏≰2201011⊭∹↮)⨳⩥⨓((⨰⫟⨤⫏≰1201122)⪠⩆⊳)≭(⨵≀≌⫏≰21111110∀⇚≩⫏≰101122222)=NaN","reverse_text":"NaN=(⫏≰1101110-⫏≰100022112)⋳⪒(⫏≰22111201⊭↱⫏≰10201012)⨽(⫏≰2212212⊘)⪢(⫏≰2201011⊭∹↮)⨳⩥⨓((⨰⫟⨤⫏≰1201122)⪠⩆⊳)≭(⨵≀≌⫏≰21111110∀⇚≩⫏≰101122222)","cot":[{"info":"⫏≰1101110-⫏≰100022112=⫏≰-21221002","layer":3},{"info":"⫏≰22111201⊭↱⫏≰10201012=⫏≰-100120212","layer":3},{"info":"⫏≰-21221002⋳⪒⫏≰-100120212=⫏≰-20122221","layer":2},{"info":"⫏≰2212212⊘=⫏≰0","layer":3},{"info":"⫏≰2201011⊭∹↮=⫏≰12102022","layer":3},{"info":"⫏≰0⪢⫏≰12102022=NaN","layer":2},{"info":"⫏≰-20122221⨽NaN=NaN","layer":1},{"info":"⨰⫟⨤⫏≰1201122=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"⫏≰21111110∀⇚≩⫏≰101122222=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":276,"expression_no_base_symbol":"(($1420$∲⫓$7989$⨵⪆$3047$⋓$6754$)⊘)≎⊠⪸((⨰⫟⨤$6245$)≎⊠⪸($5961$+⇶⊼$1365$)≎⊠⪸($5509$≎⊠⪸$1069$)⨰(⨵≀≌$5717$))","expression":"((⫏≰1221121∲⫓⫏≰101221220⨵⪆⫏≰11011212⋓⫏≰100021011)⊘)≎⊠⪸((⨰⫟⨤⫏≰22120022)≎⊠⪸(⫏≰22011210+⇶⊼⫏≰1212120)≎⊠⪸(⫏≰21120001≎⊠⪸⫏≰1110121)⨰(⨵≀≌⫏≰21211202))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24556,"operation_count":12,"complexity_ratio":2046.3333333333333,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1420,"base":3},"right_expr":{"type":"numeric_atoms","value":7989,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3047,"base":3},"right_expr":{"type":"numeric_atoms","value":6754,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6245,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5961,"base":3},"right_expr":{"type":"numeric_atoms","value":1365,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5509,"base":3},"right_expr":{"type":"numeric_atoms","value":1069,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5717,"base":3}}}}},"used_operators":["bJkvcejdHO","gu96TGCTMs","2DQ55sFlQl","i8ToyICDmI","T2fj7uvVaJ","Tw270M8GLb","TpPTUOHfaN","eewbuw0ToL","srAu1WTS94"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫏≰-122112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1420","layer":4},{"info":"number node, value=7989","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=7989, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3047","layer":4},{"info":"number node, value=6754","layer":4},{"info":"compute binary expreesion, left_input=3047, right_input=6754, op_id = T2fj7uvVaJ 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 = 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 = 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=6245","layer":4},{"info":"compute unary expreesion, input=6245, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5961","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=5961, right_input=1365, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=5509","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=5509, right_input=1069, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1426358","layer":3},{"info":"number node, value=5717","layer":4},{"info":"compute unary expreesion, input=5717, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17151","layer":3},{"info":"compute binary expreesion, left_input=1426358, right_input=-17151, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1443519","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1443519, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=16880","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=16880, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1221121∲⫓⫏≰101221220⨵⪆⫏≰11011212⋓⫏≰100021011)⊘)≎⊠⪸((⨰⫟⨤⫏≰22120022)≎⊠⪸(⫏≰22011210+⇶⊼⫏≰1212120)≎⊠⪸(⫏≰21120001≎⊠⪸⫏≰1110121)⨰(⨵≀≌⫏≰21211202))=⫏≰-122112","reverse_text":"⫏≰-122112=((⫏≰1221121∲⫓⫏≰101221220⨵⪆⫏≰11011212⋓⫏≰100021011)⊘)≎⊠⪸((⨰⫟⨤⫏≰22120022)≎⊠⪸(⫏≰22011210+⇶⊼⫏≰1212120)≎⊠⪸(⫏≰21120001≎⊠⪸⫏≰1110121)⨰(⨵≀≌⫏≰21211202))","cot":[{"info":"⫏≰1221121∲⫓⫏≰101221220=⫏≰0","layer":3},{"info":"⫏≰11011212⋓⫏≰100021011=⫏≰0","layer":3},{"info":"⫏≰0⨵⪆⫏≰0=⫏≰12221","layer":2},{"info":"⫏≰12221⊘=⫏≰0","layer":1},{"info":"⨰⫟⨤⫏≰22120022=NaN","layer":3},{"info":"⫏≰22011210+⇶⊼⫏≰1212120=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=⫏≰2111","layer":2},{"info":"⫏≰21120001≎⊠⪸⫏≰1110121=⫏≰2200110121002","layer":3},{"info":"⨵≀≌⫏≰21211202=⫏≰-212112020","layer":3},{"info":"⫏≰2200110121002⨰⫏≰-212112020=⫏≰2201100010200","layer":2},{"info":"⫏≰2111≎⊠⪸⫏≰2201100010200=⫏≰212011012","layer":1},{"info":"⫏≰0≎⊠⪸⫏≰212011012=⫏≰-122112","layer":0}]}
{"id":277,"expression_no_base_symbol":"((($7652$%$2671$)⨳⩥⨓($2286$⊉≛↸$4222$))⊪)-((⊥$2259$)⪢(⩦⩻⨪$3256$)⊦⊿)","expression":"(((⫏≰101111102%⫏≰10122221)⨳⩥⨓(⫏≰10010200⊉≛↸⫏≰12210101))⊪)-((⊥⫏≰10002200)⪢(⩦⩻⨪⫏≰11110121)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3307,"operation_count":9,"complexity_ratio":367.44444444444446,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7652,"base":3},"right_expr":{"type":"numeric_atoms","value":2671,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2286,"base":3},"right_expr":{"type":"numeric_atoms","value":4222,"base":3}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2259,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3256,"base":3}}}}},"used_operators":["rysDP5nf3Z","zVYPLywUTj","nCS4ZIUYfx","k8jYdgA6NY","DZ8iAZOCBD","14qkJME0vr","dWAJyo7jo9","Q3PJZHRvZv","2td37pGCOC"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=7652","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=7652, right_input=2671, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2310","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=4222","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=4222, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4572","layer":3},{"info":"compute binary expreesion, left_input=2310, right_input=4572, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2262","layer":2},{"info":"compute unary expreesion, input=2262, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"number node, value=2259","layer":4},{"info":"compute unary expreesion, input=2259, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3256","layer":4},{"info":"compute unary expreesion, input=3256, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3256","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3256, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰101111102%⫏≰10122221)⨳⩥⨓(⫏≰10010200⊉≛↸⫏≰12210101))⊪)-((⊥⫏≰10002200)⪢(⩦⩻⨪⫏≰11110121)⊦⊿)=NaN","reverse_text":"NaN=(((⫏≰101111102%⫏≰10122221)⨳⩥⨓(⫏≰10010200⊉≛↸⫏≰12210101))⊪)-((⊥⫏≰10002200)⪢(⩦⩻⨪⫏≰11110121)⊦⊿)","cot":[{"info":"⫏≰101111102%⫏≰10122221=⫏≰10011120","layer":3},{"info":"⫏≰10010200⊉≛↸⫏≰12210101=⫏≰20021100","layer":3},{"info":"⫏≰10011120⨳⩥⨓⫏≰20021100=⫏≰10002210","layer":2},{"info":"⫏≰10002210⊪=⫏≰0","layer":1},{"info":"⊥⫏≰10002200=NaN","layer":3},{"info":"⩦⩻⨪⫏≰11110121=⫏≰11110121","layer":3},{"info":"NaN⪢⫏≰11110121=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⫏≰0-NaN=NaN","layer":0}]}
{"id":278,"expression_no_base_symbol":"(($6602$≎⊠⪸$1491$)⪘⫢($1511$%$7377$)⋓((-$2875$)⊭↱$3114$⋓$7832$))⊴(($1085$⪄$6845$+($1858$⨁⊸⫻))+⇶⊼($2503$⪮%⊝$2359$∸))","expression":"((⫏≰100001112≎⊠⪸⫏≰2001020)⪘⫢(⫏≰2001222%⫏≰101010020)⋓((-⫏≰10221111)⊭↱⫏≰11021100⋓⫏≰101202002))⊴((⫏≰1111012⪄⫏≰100101112+(⫏≰2112211⨁⊸⫻))+⇶⊼(⫏≰10102201⪮%⊝⫏≰10020101∸))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":610,"operation_count":14,"complexity_ratio":43.57142857142857,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6602,"base":3},"right_expr":{"type":"numeric_atoms","value":1491,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1511,"base":3},"right_expr":{"type":"numeric_atoms","value":7377,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2875,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3114,"base":3},"right_expr":{"type":"numeric_atoms","value":7832,"base":3}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1085,"base":3},"right_expr":{"type":"numeric_atoms","value":6845,"base":3}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1858,"base":3}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2503,"base":3},"right_expr":{"type":"numeric_atoms","value":2359,"base":3}}}}},"used_operators":["Nsiff2A1zJ","T2fj7uvVaJ","oacrs7FA3X","bJkvcejdHO","k8jYdgA6NY","COABgblf1C","t8gj7n24qd","TpPTUOHfaN","W4YGzv6Whe","SUmda5xLS4","glklzrTFfD","o20kRiQErp","IWmyXbctLI"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6602","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=6602, right_input=1491, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1709445","layer":3},{"info":"number node, value=1511","layer":4},{"info":"number node, value=7377","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=7377, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1511","layer":3},{"info":"compute binary expreesion, left_input=1709445, right_input=1511, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3418766","layer":2},{"info":"number node, value=2875","layer":4},{"info":"compute unary expreesion, input=2875, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2875","layer":3},{"info":"number node, value=3114","layer":4},{"info":"number node, value=7832","layer":4},{"info":"compute binary expreesion, left_input=3114, right_input=7832, op_id = T2fj7uvVaJ 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=-2875, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5755","layer":2},{"info":"compute binary expreesion, left_input=3418766, right_input=5755, op_id = T2fj7uvVaJ 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=1085","layer":4},{"info":"number node, value=6845","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=6845, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-184049","layer":3},{"info":"number node, value=1858","layer":4},{"info":"compute unary expreesion, input=1858, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1858","layer":3},{"info":"compute binary expreesion, left_input=-184049, right_input=1858, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-182191","layer":2},{"info":"number node, value=2503","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=2503, right_input=2359, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5322","layer":3},{"info":"compute unary expreesion, input=5322, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=-182191, right_input=177, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":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":3,"result_base":3,"text":"((⫏≰100001112≎⊠⪸⫏≰2001020)⪘⫢(⫏≰2001222%⫏≰101010020)⋓((-⫏≰10221111)⊭↱⫏≰11021100⋓⫏≰101202002))⊴((⫏≰1111012⪄⫏≰100101112+(⫏≰2112211⨁⊸⫻))+⇶⊼(⫏≰10102201⪮%⊝⫏≰10020101∸))=NaN","reverse_text":"NaN=((⫏≰100001112≎⊠⪸⫏≰2001020)⪘⫢(⫏≰2001222%⫏≰101010020)⋓((-⫏≰10221111)⊭↱⫏≰11021100⋓⫏≰101202002))⊴((⫏≰1111012⪄⫏≰100101112+(⫏≰2112211⨁⊸⫻))+⇶⊼(⫏≰10102201⪮%⊝⫏≰10020101∸))","cot":[{"info":"⫏≰100001112≎⊠⪸⫏≰2001020=⫏≰10012211220210","layer":3},{"info":"⫏≰2001222%⫏≰101010020=⫏≰2001222","layer":3},{"info":"⫏≰10012211220210⪘⫢⫏≰2001222=⫏≰20102200122222","layer":2},{"info":"-⫏≰10221111=⫏≰-10221111","layer":3},{"info":"⫏≰11021100⋓⫏≰101202002=⫏≰0","layer":3},{"info":"⫏≰-10221111⊭↱⫏≰0=⫏≰21220011","layer":2},{"info":"⫏≰20102200122222⋓⫏≰21220011=⫏≰0","layer":1},{"info":"⫏≰1111012⪄⫏≰100101112=⫏≰-100100110122","layer":3},{"info":"⫏≰2112211⨁⊸⫻=⫏≰2112211","layer":3},{"info":"⫏≰-100100110122+⫏≰2112211=⫏≰-100020220211","layer":2},{"info":"⫏≰10102201⪮%⊝⫏≰10020101=⫏≰21022010","layer":3},{"info":"⫏≰21022010∸=⫏≰20120","layer":2},{"info":"⫏≰-100020220211+⇶⊼⫏≰20120=NaN","layer":1},{"info":"⫏≰0⊴NaN=NaN","layer":0}]}
{"id":279,"expression_no_base_symbol":"(≦∁($6480$⩨$1583$⪨≂$3484$⪄$6547$))-($7143$/$2024$↪⪝)⋓(($5026$↪⪝)⊭↱($1725$-$1098$))","expression":"(≦∁(⫏≰22220000⩨⫏≰2011122⪨≂⫏≰11210001⪄⫏≰22222111))-(⫏≰100210120/⫏≰2202222↪⪝)⋓((⫏≰20220011↪⪝)⊭↱(⫏≰2100220-⫏≰1111200))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":938,"operation_count":11,"complexity_ratio":85.27272727272727,"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":6480,"base":3},"right_expr":{"type":"numeric_atoms","value":1583,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3484,"base":3},"right_expr":{"type":"numeric_atoms","value":6547,"base":3}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7143,"base":3},"right_expr":{"type":"numeric_atoms","value":2024,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":5026,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1725,"base":3},"right_expr":{"type":"numeric_atoms","value":1098,"base":3}}}}},"used_operators":["rysDP5nf3Z","9ICcGScMcE","sdazOOVcIp","2DlMacCsIx","SUmda5xLS4","T2fj7uvVaJ","l07mrZUIn9","XhwjNDsVaA","COABgblf1C"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2000122212220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6480","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=6480, right_input=1583, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3484","layer":4},{"info":"number node, value=6547","layer":4},{"info":"compute binary expreesion, left_input=3484, right_input=6547, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-537909","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-537909, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1075920","layer":2},{"info":"compute unary expreesion, input=1075920, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1075920","layer":1},{"info":"number node, value=7143","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=7143, right_input=2024, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute unary expreesion, input=3, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=183546","layer":2},{"info":"number node, value=5026","layer":4},{"info":"compute unary expreesion, input=5026, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=307500732","layer":3},{"info":"number node, value=1725","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=1725, right_input=1098, op_id = rysDP5nf3Z binary_op_definition= 'None', output=627","layer":3},{"info":"compute binary expreesion, left_input=307500732, right_input=627, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-615000205","layer":2},{"info":"compute binary expreesion, left_input=183546, right_input=-615000205, op_id = T2fj7uvVaJ 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=1075920, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1075920","layer":0}],"base":3,"result_base":3,"text":"(≦∁(⫏≰22220000⩨⫏≰2011122⪨≂⫏≰11210001⪄⫏≰22222111))-(⫏≰100210120/⫏≰2202222↪⪝)⋓((⫏≰20220011↪⪝)⊭↱(⫏≰2100220-⫏≰1111200))=⫏≰2000122212220","reverse_text":"⫏≰2000122212220=(≦∁(⫏≰22220000⩨⫏≰2011122⪨≂⫏≰11210001⪄⫏≰22222111))-(⫏≰100210120/⫏≰2202222↪⪝)⋓((⫏≰20220011↪⪝)⊭↱(⫏≰2100220-⫏≰1111200))","cot":[{"info":"⫏≰22220000⩨⫏≰2011122=⫏≰0","layer":3},{"info":"⫏≰11210001⪄⫏≰22222111=⫏≰-1000022212120","layer":3},{"info":"⫏≰0⪨≂⫏≰-1000022212120=⫏≰2000122212220","layer":2},{"info":"≦∁⫏≰2000122212220=⫏≰2000122212220","layer":1},{"info":"⫏≰100210120/⫏≰2202222=⫏≰10","layer":3},{"info":"⫏≰10↪⪝=⫏≰100022210000","layer":2},{"info":"⫏≰20220011↪⪝=⫏≰210102121122201000","layer":3},{"info":"⫏≰2100220-⫏≰1111200=⫏≰212020","layer":3},{"info":"⫏≰210102121122201000⊭↱⫏≰212020=⫏≰-1120212020020200101","layer":2},{"info":"⫏≰100022210000⋓⫏≰-1120212020020200101=⫏≰0","layer":1},{"info":"⫏≰2000122212220-⫏≰0=⫏≰2000122212220","layer":0}]}
{"id":280,"expression_no_base_symbol":"⫛⫱⨽((($2701$≋⫹)⫡⨏$1115$⨓$1966$)⊉≛↸($1070$⋳⪒$4649$⨵⪆(⊙↵-$1016$)))","expression":"⫛⫱⨽(((⫏≰10201001≋⫹)⫡⨏⫏≰1112022⨓⫏≰2200211)⊉≛↸(⫏≰1110122⋳⪒⫏≰20101012⨵⪆(⊙↵-⫏≰1101122)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4127,"operation_count":8,"complexity_ratio":515.875,"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":2701,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1115,"base":3},"right_expr":{"type":"numeric_atoms","value":1966,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1070,"base":3},"right_expr":{"type":"numeric_atoms","value":4649,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1016,"base":3}}}}},"used_operators":["DlLNRPXxWL","DZ8iAZOCBD","QMFrweE19q","N41Kp7NANJ","3ViojmjbAp","2DQ55sFlQl","12rbrZMWeM","oWn0xqSxBt"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2701","layer":4},{"info":"compute unary expreesion, input=2701, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5402","layer":3},{"info":"number node, value=1115","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1966, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1969","layer":3},{"info":"compute binary expreesion, left_input=-5402, right_input=-1969, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-30165","layer":2},{"info":"number node, value=1070","layer":4},{"info":"number node, value=4649","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=4649, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2796","layer":3},{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-2796, right_input=-1, 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=-30165, right_input=160, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-160","layer":1},{"info":"compute unary expreesion, input=-160, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⫛⫱⨽(((⫏≰10201001≋⫹)⫡⨏⫏≰1112022⨓⫏≰2200211)⊉≛↸(⫏≰1110122⋳⪒⫏≰20101012⨵⪆(⊙↵-⫏≰1101122)))=⫏≰0","reverse_text":"⫏≰0=⫛⫱⨽(((⫏≰10201001≋⫹)⫡⨏⫏≰1112022⨓⫏≰2200211)⊉≛↸(⫏≰1110122⋳⪒⫏≰20101012⨵⪆(⊙↵-⫏≰1101122)))","cot":[{"info":"⫏≰10201001≋⫹=⫏≰-21102002","layer":3},{"info":"⫏≰1112022⨓⫏≰2200211=⫏≰-2200221","layer":3},{"info":"⫏≰-21102002⫡⨏⫏≰-2200221=⫏≰-1112101020","layer":2},{"info":"⫏≰1110122⋳⪒⫏≰20101012=⫏≰-10211120","layer":3},{"info":"⊙↵-⫏≰1101122=⫏≰-1","layer":3},{"info":"⫏≰-10211120⨵⪆⫏≰-1=⫏≰12221","layer":2},{"info":"⫏≰-1112101020⊉≛↸⫏≰12221=⫏≰-12221","layer":1},{"info":"⫛⫱⨽⫏≰-12221=⫏≰0","layer":0}]}
{"id":281,"expression_no_base_symbol":"((⫛⫱⨽(⪝⪂⫅$2267$))⨎($2653$≫≃)⨟⋌⩍($5535$≧⫂∧$1955$))≭(($1138$⊠≄⫣)⨰$3169$⪮%⊝$2035$)⪢(⫓⪴($5114$⫸⊐$2383$))","expression":"((⫛⫱⨽(⪝⪂⫅⫏≰10002222))⨎(⫏≰10122021≫≃)⨟⋌⩍(⫏≰21121000≧⫂∧⫏≰2200102))≭((⫏≰1120011⊠≄⫣)⨰⫏≰11100101⪮%⊝⫏≰2210101)⪢(⫓⪴(⫏≰21000102⫸⊐⫏≰10021021))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11033,"operation_count":13,"complexity_ratio":848.6923076923077,"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":2267,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2653,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5535,"base":3},"right_expr":{"type":"numeric_atoms","value":1955,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1138,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3169,"base":3},"right_expr":{"type":"numeric_atoms","value":2035,"base":3}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5114,"base":3},"right_expr":{"type":"numeric_atoms","value":2383,"base":3}}}}},"used_operators":["rxpJgHHUmx","rJVOvQCfKK","DlLNRPXxWL","XTarYq4gQB","rGHVDoGpnC","X99M06cbEe","Ph9nP6C5qx","dWAJyo7jo9","eewbuw0ToL","DIvbN7qnHd","IWmyXbctLI","eLxqMNBOBk","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","Tcnh7f0tEr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2267","layer":4},{"info":"compute unary expreesion, input=2267, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-333249","layer":3},{"info":"compute unary expreesion, input=-333249, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=2653","layer":4},{"info":"compute unary expreesion, input=2653, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6707","layer":3},{"info":"number node, value=5535","layer":4},{"info":"number node, value=1955","layer":4},{"info":"compute binary expreesion, left_input=5535, right_input=1955, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1482","layer":3},{"info":"compute binary expreesion, left_input=6707, right_input=1482, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=0, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3169","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=3169, right_input=2035, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6654","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6654, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6644","layer":2},{"info":"number node, value=5114","layer":4},{"info":"number node, value=2383","layer":4},{"info":"compute binary expreesion, left_input=5114, right_input=2383, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9407","layer":3},{"info":"compute unary expreesion, input=9407, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=88491649","layer":2},{"info":"compute binary expreesion, left_input=-6644, right_input=88491649, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"((⫛⫱⨽(⪝⪂⫅⫏≰10002222))⨎(⫏≰10122021≫≃)⨟⋌⩍(⫏≰21121000≧⫂∧⫏≰2200102))≭((⫏≰1120011⊠≄⫣)⨰⫏≰11100101⪮%⊝⫏≰2210101)⪢(⫓⪴(⫏≰21000102⫸⊐⫏≰10021021))=NaN","reverse_text":"NaN=((⫛⫱⨽(⪝⪂⫅⫏≰10002222))⨎(⫏≰10122021≫≃)⨟⋌⩍(⫏≰21121000≧⫂∧⫏≰2200102))≭((⫏≰1120011⊠≄⫣)⨰⫏≰11100101⪮%⊝⫏≰2210101)⪢(⫓⪴(⫏≰21000102⫸⊐⫏≰10021021))","cot":[{"info":"⪝⪂⫅⫏≰10002222=⫏≰-121221010120","layer":3},{"info":"⫛⫱⨽⫏≰-121221010120=⫏≰0","layer":2},{"info":"⫏≰10122021≫≃=⫏≰100012102","layer":3},{"info":"⫏≰21121000≧⫂∧⫏≰2200102=⫏≰2000220","layer":3},{"info":"⫏≰100012102⨟⋌⩍⫏≰2000220=NaN","layer":2},{"info":"⫏≰0⨎NaN=NaN","layer":1},{"info":"⫏≰1120011⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰11100101⪮%⊝⫏≰2210101=⫏≰100010110","layer":3},{"info":"⫏≰0⨰⫏≰100010110=⫏≰-100010002","layer":2},{"info":"⫏≰21000102⫸⊐⫏≰10021021=⫏≰110220102","layer":3},{"info":"⫓⪴⫏≰110220102=⫏≰20011111211201111","layer":2},{"info":"⫏≰-100010002⪢⫏≰20011111211201111=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":282,"expression_no_base_symbol":"($1795$≹⇙⪍$4576$⫡⨏$4635$⊭↱$4605$)≎⊠⪸((⪝⪂⫅$7117$)≦≮≮)⋫","expression":"(⫏≰2110111≹⇙⪍⫏≰20021111⫡⨏⫏≰20100200⊭↱⫏≰20022120)≎⊠⪸((⪝⪂⫅⫏≰100202121)≦≮≮)⋫","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":180,"operation_count":7,"complexity_ratio":25.714285714285715,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1795,"base":3},"right_expr":{"type":"numeric_atoms","value":4576,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4635,"base":3},"right_expr":{"type":"numeric_atoms","value":4605,"base":3}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":7117,"base":3}}}}},"used_operators":["JL8yIekQnl","bJkvcejdHO","QMFrweE19q","AHs5Up7iyr","COABgblf1C","D4vGDi5EA2","XTarYq4gQB"],"dependent_operators":["tmPS8pqC7x","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1795","layer":4},{"info":"number node, value=4576","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=4576, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4635","layer":4},{"info":"number node, value=4605","layer":4},{"info":"compute binary expreesion, left_input=4635, right_input=4605, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_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=7117","layer":4},{"info":"compute unary expreesion, input=7117, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1046199","layer":3},{"info":"compute unary expreesion, input=-1046199, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=3138597","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3138597, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2110111≹⇙⪍⫏≰20021111⫡⨏⫏≰20100200⊭↱⫏≰20022120)≎⊠⪸((⪝⪂⫅⫏≰100202121)≦≮≮)⋫=NaN","reverse_text":"NaN=(⫏≰2110111≹⇙⪍⫏≰20021111⫡⨏⫏≰20100200⊭↱⫏≰20022120)≎⊠⪸((⪝⪂⫅⫏≰100202121)≦≮≮)⋫","cot":[{"info":"⫏≰2110111≹⇙⪍⫏≰20021111=NaN","layer":3},{"info":"⫏≰20100200⊭↱⫏≰20022120=⫏≰-2001","layer":3},{"info":"NaN⫡⨏⫏≰-2001=NaN","layer":2},{"info":"⪝⪂⫅⫏≰100202121=⫏≰-1222011010010","layer":3},{"info":"⫏≰-1222011010010≦≮≮=⫏≰12220110100100","layer":2},{"info":"NaN≎⊠⪸⫏≰12220110100100=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":283,"expression_no_base_symbol":"(($1215$⊭↱$2656$↛⩡⫤)-($5443$⫩⊇)⇷($4440$⋝⋈⪟$9394$))∑⇟⊟(($1524$⇼⇔∾$1141$/$2056$⩷∴$5855$)⋥≓≎($2464$⨸⪁$1853$)⪛($8359$⩚⊴⇥$2277$))","expression":"((⫏≰1200000⊭↱⫏≰10122101↛⩡⫤)-(⫏≰21110121⫩⊇)⇷(⫏≰20002110⋝⋈⪟⫏≰110212221))∑⇟⊟((⫏≰2002110⇼⇔∾⫏≰1120021/⫏≰2211011⩷∴⫏≰22000212)⋥≓≎(⫏≰10101021⨸⪁⫏≰2112122)⪛(⫏≰102110121⩚⊴⇥⫏≰10010100))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":84451,"operation_count":14,"complexity_ratio":6032.214285714285,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1215,"base":3},"right_expr":{"type":"numeric_atoms","value":2656,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5443,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4440,"base":3},"right_expr":{"type":"numeric_atoms","value":9394,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1524,"base":3},"right_expr":{"type":"numeric_atoms","value":1141,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2056,"base":3},"right_expr":{"type":"numeric_atoms","value":5855,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2464,"base":3},"right_expr":{"type":"numeric_atoms","value":1853,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8359,"base":3},"right_expr":{"type":"numeric_atoms","value":2277,"base":3}}}}},"used_operators":["U7g4x0WXJJ","rysDP5nf3Z","FU0Cs4j7VP","COABgblf1C","mp7IySMOzn","BjRHVeLaeN","2DDjHMKMc0","Qy55tPpLXF","XhwjNDsVaA","tifHPKVTfV","9FxExcQeMw","uFcxV4UQCh","g55IO6H4Gj","NTOWxs364D"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1215","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=2656, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2887","layer":3},{"info":"compute unary expreesion, input=2887, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-432026","layer":2},{"info":"number node, value=5443","layer":4},{"info":"compute unary expreesion, input=5443, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5401","layer":3},{"info":"number node, value=4440","layer":4},{"info":"number node, value=9394","layer":4},{"info":"compute binary expreesion, left_input=4440, right_input=9394, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4440","layer":3},{"info":"compute binary expreesion, left_input=-5401, right_input=4440, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8880","layer":2},{"info":"compute binary expreesion, left_input=-432026, right_input=8880, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-440906","layer":1},{"info":"number node, value=1524","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=1141, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-383","layer":3},{"info":"number node, value=2056","layer":4},{"info":"number node, value=5855","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=5855, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7630","layer":3},{"info":"compute binary expreesion, left_input=-383, right_input=-7630, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2464","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=1853, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8634","layer":3},{"info":"number node, value=8359","layer":4},{"info":"number node, value=2277","layer":4},{"info":"compute binary expreesion, left_input=8359, right_input=2277, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10757","layer":3},{"info":"compute binary expreesion, left_input=8634, right_input=-10757, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2123","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2123, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4213","layer":1},{"info":"compute binary expreesion, left_input=-440906, right_input=-4213, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1200000⊭↱⫏≰10122101↛⩡⫤)-(⫏≰21110121⫩⊇)⇷(⫏≰20002110⋝⋈⪟⫏≰110212221))∑⇟⊟((⫏≰2002110⇼⇔∾⫏≰1120021/⫏≰2211011⩷∴⫏≰22000212)⋥≓≎(⫏≰10101021⨸⪁⫏≰2112122)⪛(⫏≰102110121⩚⊴⇥⫏≰10010100))=NaN","reverse_text":"NaN=((⫏≰1200000⊭↱⫏≰10122101↛⩡⫤)-(⫏≰21110121⫩⊇)⇷(⫏≰20002110⋝⋈⪟⫏≰110212221))∑⇟⊟((⫏≰2002110⇼⇔∾⫏≰1120021/⫏≰2211011⩷∴⫏≰22000212)⋥≓≎(⫏≰10101021⨸⪁⫏≰2112122)⪛(⫏≰102110121⩚⊴⇥⫏≰10010100))","cot":[{"info":"⫏≰1200000⊭↱⫏≰10122101=⫏≰10221221","layer":3},{"info":"⫏≰10221221↛⩡⫤=⫏≰-210221121222","layer":2},{"info":"⫏≰21110121⫩⊇=⫏≰-21102001","layer":3},{"info":"⫏≰20002110⋝⋈⪟⫏≰110212221=⫏≰20002110","layer":3},{"info":"⫏≰-21102001⇷⫏≰20002110=⫏≰110011220","layer":2},{"info":"⫏≰-210221121222-⫏≰110011220=⫏≰-211101210212","layer":1},{"info":"⫏≰2002110⇼⇔∾⫏≰1120021=⫏≰-112012","layer":3},{"info":"⫏≰2211011⩷∴⫏≰22000212=⫏≰-101110121","layer":3},{"info":"⫏≰-112012/⫏≰-101110121=⫏≰0","layer":2},{"info":"⫏≰10101021⨸⪁⫏≰2112122=⫏≰102211210","layer":3},{"info":"⫏≰102110121⩚⊴⇥⫏≰10010100=⫏≰-112202102","layer":3},{"info":"⫏≰102211210⪛⫏≰-112202102=⫏≰-2220122","layer":2},{"info":"⫏≰0⋥≓≎⫏≰-2220122=⫏≰-12210001","layer":1},{"info":"⫏≰-211101210212∑⇟⊟⫏≰-12210001=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"(⨑⩽⪐(($1789$⇼⇔∾$2218$)⪐))≎⊠⪸(⨞⊢((∂$6832$)∲⫓(≤/$1636$)))","expression":"(⨑⩽⪐((⫏≰2110021⇼⇔∾⫏≰10001011)⪐))≎⊠⪸(⨞⊢((∂⫏≰100101001)∲⫓(≤/⫏≰2020121)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24,"operation_count":8,"complexity_ratio":3.0,"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":1789,"base":3},"right_expr":{"type":"numeric_atoms","value":2218,"base":3}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6832,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1636,"base":3}}}}},"used_operators":["bJkvcejdHO","AF7qkfDlqP","eH2TOUuTDT","tifHPKVTfV","xUOZtlo3hN","i8ToyICDmI","Uaa54Peajs","eLAdDNolq6"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1789","layer":4},{"info":"number node, value=2218","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=2218, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=429","layer":3},{"info":"compute unary expreesion, input=429, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=858","layer":2},{"info":"compute unary expreesion, input=858, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-585","layer":1},{"info":"number node, value=6832","layer":4},{"info":"compute unary expreesion, input=6832, 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=1636","layer":4},{"info":"compute unary expreesion, input=1636, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1152","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1152, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-585, 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":3,"result_base":3,"text":"(⨑⩽⪐((⫏≰2110021⇼⇔∾⫏≰10001011)⪐))≎⊠⪸(⨞⊢((∂⫏≰100101001)∲⫓(≤/⫏≰2020121)))=⫏≰2111","reverse_text":"⫏≰2111=(⨑⩽⪐((⫏≰2110021⇼⇔∾⫏≰10001011)⪐))≎⊠⪸(⨞⊢((∂⫏≰100101001)∲⫓(≤/⫏≰2020121)))","cot":[{"info":"⫏≰2110021⇼⇔∾⫏≰10001011=⫏≰120220","layer":3},{"info":"⫏≰120220⪐=⫏≰1011210","layer":2},{"info":"⨑⩽⪐⫏≰1011210=⫏≰-210200","layer":1},{"info":"∂⫏≰100101001=NaN","layer":3},{"info":"≤/⫏≰2020121=⫏≰-1120200","layer":3},{"info":"NaN∲⫓⫏≰-1120200=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⫏≰-210200≎⊠⪸NaN=⫏≰2111","layer":0}]}
{"id":285,"expression_no_base_symbol":"(↥(⨑⩽⪐$5279$⪘⫢$2726$))⇷(⨞⊢($5263$⨸⪁$9009$)⊴$7451$≹⇙⪍$1965$)","expression":"(↥(⨑⩽⪐⫏≰21020112⪘⫢⫏≰10201222))⇷(⨞⊢(⫏≰21012221⨸⪁⫏≰110100200)⊴⫏≰101012222≹⇙⪍⫏≰2200210)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":783,"operation_count":8,"complexity_ratio":97.875,"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":5279,"base":3},"right_expr":{"type":"numeric_atoms","value":2726,"base":3}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5263,"base":3},"right_expr":{"type":"numeric_atoms","value":9009,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7451,"base":3},"right_expr":{"type":"numeric_atoms","value":1965,"base":3}}}}},"used_operators":["mp7IySMOzn","A8NUZmVepG","AF7qkfDlqP","oacrs7FA3X","xUOZtlo3hN","Nsiff2A1zJ","g55IO6H4Gj","AHs5Up7iyr"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5279","layer":4},{"info":"number node, value=2726","layer":4},{"info":"compute binary expreesion, left_input=5279, right_input=2726, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10434","layer":3},{"info":"compute unary expreesion, input=10434, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-10161","layer":2},{"info":"compute unary expreesion, input=-10161, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=39","layer":1},{"info":"number node, value=5263","layer":4},{"info":"number node, value=9009","layer":4},{"info":"compute binary expreesion, left_input=5263, right_input=9009, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=28544","layer":3},{"info":"number node, value=7451","layer":4},{"info":"number node, value=1965","layer":4},{"info":"compute binary expreesion, left_input=7451, right_input=1965, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=28544, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=39, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↥(⨑⩽⪐⫏≰21020112⪘⫢⫏≰10201222))⇷(⨞⊢(⫏≰21012221⨸⪁⫏≰110100200)⊴⫏≰101012222≹⇙⪍⫏≰2200210)=NaN","reverse_text":"NaN=(↥(⨑⩽⪐⫏≰21020112⪘⫢⫏≰10201222))⇷(⨞⊢(⫏≰21012221⨸⪁⫏≰110100200)⊴⫏≰101012222≹⇙⪍⫏≰2200210)","cot":[{"info":"⫏≰21020112⪘⫢⫏≰10201222=⫏≰112022110","layer":3},{"info":"⨑⩽⪐⫏≰112022110=⫏≰-111221100","layer":2},{"info":"↥⫏≰-111221100=⫏≰1110","layer":1},{"info":"⫏≰21012221⨸⪁⫏≰110100200=⫏≰1110011012","layer":3},{"info":"⫏≰101012222≹⇙⪍⫏≰2200210=NaN","layer":3},{"info":"⫏≰1110011012⊴NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⫏≰1110⇷NaN=NaN","layer":0}]}
{"id":286,"expression_no_base_symbol":"(($3141$*$2476$⇼⇔∾(∂$2205$))≎⊠⪸(($2261$⪨≂$1738$)⨐⩸⫘$3950$⪮%⊝$1230$))⇷((≉($4883$+$1238$))⋓(⪲⇎($3422$≫≃)))","expression":"((⫏≰11022100*⫏≰10101201⇼⇔∾(∂⫏≰10000200))≎⊠⪸((⫏≰10002202⪨≂⫏≰2101101)⨐⩸⫘⫏≰12102022⪮%⊝⫏≰1200120))⇷((≉(⫏≰20200212+⫏≰1200212))⋓(⪲⇎(⫏≰11200202≫≃)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3474,"operation_count":13,"complexity_ratio":267.2307692307692,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3141,"base":3},"right_expr":{"type":"numeric_atoms","value":2476,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2205,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2261,"base":3},"right_expr":{"type":"numeric_atoms","value":1738,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3950,"base":3},"right_expr":{"type":"numeric_atoms","value":1230,"base":3}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4883,"base":3},"right_expr":{"type":"numeric_atoms","value":1238,"base":3}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3422,"base":3}}}}},"used_operators":["mp7IySMOzn","bJkvcejdHO","tifHPKVTfV","9HNa5Wba9A","Uaa54Peajs","fu6greOZ01","sdazOOVcIp","IWmyXbctLI","T2fj7uvVaJ","e1ybzncUwg","W4YGzv6Whe","XPYlsWDdGa","X99M06cbEe"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3141","layer":4},{"info":"number node, value=2476","layer":4},{"info":"compute binary expreesion, left_input=3141, right_input=2476, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7777116","layer":3},{"info":"number node, value=2205","layer":4},{"info":"compute unary expreesion, input=2205, 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=7777116, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=2261","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=2261, right_input=1738, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1148","layer":3},{"info":"number node, value=3950","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=3950, right_input=1230, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8216","layer":3},{"info":"compute binary expreesion, left_input=1148, right_input=8216, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=4883","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=4883, right_input=1238, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6121","layer":3},{"info":"compute unary expreesion, input=6121, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6652","layer":2},{"info":"number node, value=3422","layer":4},{"info":"compute unary expreesion, input=3422, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8245","layer":3},{"info":"compute unary expreesion, input=8245, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=16490","layer":2},{"info":"compute binary expreesion, left_input=6652, right_input=16490, op_id = T2fj7uvVaJ 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=67, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11022100*⫏≰10101201⇼⇔∾(∂⫏≰10000200))≎⊠⪸((⫏≰10002202⪨≂⫏≰2101101)⨐⩸⫘⫏≰12102022⪮%⊝⫏≰1200120))⇷((≉(⫏≰20200212+⫏≰1200212))⋓(⪲⇎(⫏≰11200202≫≃)))=⫏≰0","reverse_text":"⫏≰0=((⫏≰11022100*⫏≰10101201⇼⇔∾(∂⫏≰10000200))≎⊠⪸((⫏≰10002202⪨≂⫏≰2101101)⨐⩸⫘⫏≰12102022⪮%⊝⫏≰1200120))⇷((≉(⫏≰20200212+⫏≰1200212))⋓(⪲⇎(⫏≰11200202≫≃)))","cot":[{"info":"⫏≰11022100*⫏≰10101201=⫏≰112122010012100","layer":3},{"info":"∂⫏≰10000200=NaN","layer":3},{"info":"⫏≰112122010012100⇼⇔∾NaN=NaN","layer":2},{"info":"⫏≰10002202⪨≂⫏≰2101101=⫏≰1120112","layer":3},{"info":"⫏≰12102022⪮%⊝⫏≰1200120=⫏≰102021022","layer":3},{"info":"⫏≰1120112⨐⩸⫘⫏≰102021022=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"⫏≰20200212+⫏≰1200212=⫏≰22101201","layer":3},{"info":"≉⫏≰22101201=⫏≰100010101","layer":2},{"info":"⫏≰11200202≫≃=⫏≰102022101","layer":3},{"info":"⪲⇎⫏≰102022101=⫏≰211121202","layer":2},{"info":"⫏≰100010101⋓⫏≰211121202=⫏≰0","layer":1},{"info":"⫏≰2111⇷⫏≰0=⫏≰0","layer":0}]}
{"id":287,"expression_no_base_symbol":"((($1486$⇼⇔∾$3256$)⨐⩸⫘(↔$3111$))∧)≭(⨵≀≌$2263$)∀⇚≩($1438$⇼⇔∾$4593$)⋝⋈⪟(⫓⪴$7936$⪢$1503$)","expression":"(((⫏≰2001001⇼⇔∾⫏≰11110121)⨐⩸⫘(↔⫏≰11021020))∧)≭(⨵≀≌⫏≰10002211)∀⇚≩(⫏≰1222021⇼⇔∾⫏≰20022010)⋝⋈⪟(⫓⪴⫏≰101212221⪢⫏≰2001200)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":49722,"operation_count":11,"complexity_ratio":4520.181818181818,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1486,"base":3},"right_expr":{"type":"numeric_atoms","value":3256,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3111,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2263,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1438,"base":3},"right_expr":{"type":"numeric_atoms","value":4593,"base":3}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7936,"base":3},"right_expr":{"type":"numeric_atoms","value":1503,"base":3}}}}},"used_operators":["rxpJgHHUmx","z63VuFQld9","fu6greOZ01","tifHPKVTfV","ruOEQAzv1W","2DDjHMKMc0","LRNGc0VcxI","srAu1WTS94","eLxqMNBOBk","dWAJyo7jo9"],"dependent_operators":["AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1486","layer":4},{"info":"number node, value=3256","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=3256, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1770","layer":3},{"info":"number node, value=3111","layer":4},{"info":"compute unary expreesion, input=3111, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2838","layer":3},{"info":"compute binary expreesion, left_input=1770, right_input=-2838, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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=2263","layer":4},{"info":"compute unary expreesion, input=2263, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6789","layer":3},{"info":"number node, value=1438","layer":4},{"info":"number node, value=4593","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=4593, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3155","layer":3},{"info":"compute binary expreesion, left_input=-6789, right_input=3155, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=7936","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=7936, right_input=1503, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"(((⫏≰2001001⇼⇔∾⫏≰11110121)⨐⩸⫘(↔⫏≰11021020))∧)≭(⨵≀≌⫏≰10002211)∀⇚≩(⫏≰1222021⇼⇔∾⫏≰20022010)⋝⋈⪟(⫓⪴⫏≰101212221⪢⫏≰2001200)=NaN","reverse_text":"NaN=(((⫏≰2001001⇼⇔∾⫏≰11110121)⨐⩸⫘(↔⫏≰11021020))∧)≭(⨵≀≌⫏≰10002211)∀⇚≩(⫏≰1222021⇼⇔∾⫏≰20022010)⋝⋈⪟(⫓⪴⫏≰101212221⪢⫏≰2001200)","cot":[{"info":"⫏≰2001001⇼⇔∾⫏≰11110121=⫏≰2102120","layer":3},{"info":"↔⫏≰11021020=⫏≰-10220010","layer":3},{"info":"⫏≰2102120⨐⩸⫘⫏≰-10220010=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⨵≀≌⫏≰10002211=⫏≰-100022110","layer":3},{"info":"⫏≰1222021⇼⇔∾⫏≰20022010=⫏≰11022212","layer":3},{"info":"⫏≰-100022110∀⇚≩⫏≰11022212=NaN","layer":2},{"info":"⫏≰101212221⪢⫏≰2001200=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":288,"expression_no_base_symbol":"(($5535$⩤)⋷(⩦⩻⨪$1905$))≧⫂∧(($1559$+$2801$)↙($1979$↙$2698$))-(⪝⪂⫅(($2037$↺$4290$)⩚⊴⇥($1020$⨸⪁$3948$)))","expression":"((⫏≰21121000⩤)⋷(⩦⩻⨪⫏≰2121120))≧⫂∧((⫏≰2010202+⫏≰10211202)↙(⫏≰2201022↙⫏≰10200221))-(⪝⪂⫅((⫏≰2210110↺⫏≰12212220)⩚⊴⇥(⫏≰1101210⨸⪁⫏≰12102020)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10965,"operation_count":12,"complexity_ratio":913.75,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5535,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1905,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1559,"base":3},"right_expr":{"type":"numeric_atoms","value":2801,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1979,"base":3},"right_expr":{"type":"numeric_atoms","value":2698,"base":3}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2037,"base":3},"right_expr":{"type":"numeric_atoms","value":4290,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1020,"base":3},"right_expr":{"type":"numeric_atoms","value":3948,"base":3}}}}},"used_operators":["rysDP5nf3Z","Ph9nP6C5qx","23Mk6UjR3U","Z2TMIBDE3Q","2td37pGCOC","yyfyN0ffXY","W4YGzv6Whe","XTarYq4gQB","NTOWxs364D","7j4O788W3g","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫏≰-10220221100122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5535","layer":4},{"info":"compute unary expreesion, input=5535, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5535","layer":3},{"info":"number node, value=1905","layer":4},{"info":"compute unary expreesion, input=1905, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1905","layer":3},{"info":"compute binary expreesion, left_input=-5535, right_input=1905, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11070","layer":2},{"info":"number node, value=1559","layer":4},{"info":"number node, value=2801","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=2801, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4360","layer":3},{"info":"number node, value=1979","layer":4},{"info":"number node, value=2698","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=2698, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8094","layer":3},{"info":"compute binary expreesion, left_input=4360, right_input=-8094, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=24282","layer":2},{"info":"compute binary expreesion, left_input=11070, right_input=24282, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=23809","layer":1},{"info":"number node, value=2037","layer":4},{"info":"number node, value=4290","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=4290, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4290","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=3948","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3948, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9936","layer":3},{"info":"compute binary expreesion, left_input=4290, right_input=9936, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-14347","layer":2},{"info":"compute unary expreesion, input=-14347, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=2109009","layer":1},{"info":"compute binary expreesion, left_input=23809, right_input=2109009, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2085200","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21121000⩤)⋷(⩦⩻⨪⫏≰2121120))≧⫂∧((⫏≰2010202+⫏≰10211202)↙(⫏≰2201022↙⫏≰10200221))-(⪝⪂⫅((⫏≰2210110↺⫏≰12212220)⩚⊴⇥(⫏≰1101210⨸⪁⫏≰12102020)))=⫏≰-10220221100122","reverse_text":"⫏≰-10220221100122=((⫏≰21121000⩤)⋷(⩦⩻⨪⫏≰2121120))≧⫂∧((⫏≰2010202+⫏≰10211202)↙(⫏≰2201022↙⫏≰10200221))-(⪝⪂⫅((⫏≰2210110↺⫏≰12212220)⩚⊴⇥(⫏≰1101210⨸⪁⫏≰12102020)))","cot":[{"info":"⫏≰21121000⩤=⫏≰-21121000","layer":3},{"info":"⩦⩻⨪⫏≰2121120=⫏≰2121120","layer":3},{"info":"⫏≰-21121000⋷⫏≰2121120=⫏≰120012000","layer":2},{"info":"⫏≰2010202+⫏≰10211202=⫏≰12222111","layer":3},{"info":"⫏≰2201022↙⫏≰10200221=⫏≰-102002210","layer":3},{"info":"⫏≰12222111↙⫏≰-102002210=⫏≰1020022100","layer":2},{"info":"⫏≰120012000≧⫂∧⫏≰1020022100=⫏≰1012122211","layer":1},{"info":"⫏≰2210110↺⫏≰12212220=⫏≰12212220","layer":3},{"info":"⫏≰1101210⨸⪁⫏≰12102020=⫏≰111122000","layer":3},{"info":"⫏≰12212220⩚⊴⇥⫏≰111122000=⫏≰-201200101","layer":2},{"info":"⪝⪂⫅⫏≰-201200101=⫏≰10222011000110","layer":1},{"info":"⫏≰1012122211-⫏≰10222011000110=⫏≰-10220221100122","layer":0}]}
{"id":289,"expression_no_base_symbol":"⊥(⊙↵-($5748$⫥∨⫟$4811$⊭↱(+⊝⨔$1353$)))","expression":"⊥(⊙↵-(⫏≰21212220⫥∨⫟⫏≰20121012⊭↱(+⊝⨔⫏≰1212010)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":228,"operation_count":5,"complexity_ratio":45.6,"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":5748,"base":3},"right_expr":{"type":"numeric_atoms","value":4811,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1353,"base":3}}}}},"used_operators":["Q3PJZHRvZv","oWn0xqSxBt","COABgblf1C","KYD54nUTWz","DhbWaqg5eL"],"dependent_operators":["fu6greOZ01","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=5748","layer":4},{"info":"number node, value=4811","layer":4},{"info":"compute binary expreesion, left_input=5748, right_input=4811, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1353","layer":4},{"info":"compute unary expreesion, input=1353, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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 unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊥(⊙↵-(⫏≰21212220⫥∨⫟⫏≰20121012⊭↱(+⊝⨔⫏≰1212010)))=NaN","reverse_text":"NaN=⊥(⊙↵-(⫏≰21212220⫥∨⫟⫏≰20121012⊭↱(+⊝⨔⫏≰1212010)))","cot":[{"info":"⫏≰21212220⫥∨⫟⫏≰20121012=NaN","layer":3},{"info":"+⊝⨔⫏≰1212010=⫏≰2002101","layer":3},{"info":"NaN⊭↱⫏≰2002101=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":290,"expression_no_base_symbol":"(($1095$+⇶⊼$4635$)∀⇚≩($2908$⋥≓≎$5198$)⪒$1012$⨎$3765$⨽(∂$1007$))⪢(((↩$7771$)⊉≛↸($1944$%$8926$))⇋≉)","expression":"((⫏≰1111120+⇶⊼⫏≰20100200)∀⇚≩(⫏≰10222201⋥≓≎⫏≰21010112)⪒⫏≰1101111⨎⫏≰12011110⨽(∂⫏≰1101022))⪢(((↩⫏≰101122211)⊉≛↸(⫏≰2200000%⫏≰110020121))⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7795,"operation_count":12,"complexity_ratio":649.5833333333334,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1095,"base":3},"right_expr":{"type":"numeric_atoms","value":4635,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2908,"base":3},"right_expr":{"type":"numeric_atoms","value":5198,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1012,"base":3},"right_expr":{"type":"numeric_atoms","value":3765,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1007,"base":3}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":7771,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1944,"base":3},"right_expr":{"type":"numeric_atoms","value":8926,"base":3}}}}},"used_operators":["dWAJyo7jo9","f6k1SAg4EE","LRNGc0VcxI","TpPTUOHfaN","Qy55tPpLXF","8HhzD0ZcuI","rJVOvQCfKK","Uaa54Peajs","XIabStNQrY","DZ8iAZOCBD","jLgFTUHLKL","k8jYdgA6NY"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1095","layer":4},{"info":"number node, value=4635","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=4635, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2908","layer":4},{"info":"number node, value=5198","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=5198, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7521","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7521, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1012","layer":4},{"info":"number node, value=3765","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=3765, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3765","layer":3},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, 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=3765, 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=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=7771","layer":4},{"info":"compute unary expreesion, input=7771, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-59388","layer":3},{"info":"number node, value=1944","layer":4},{"info":"number node, value=8926","layer":4},{"info":"compute binary expreesion, left_input=1944, right_input=8926, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1944","layer":3},{"info":"compute binary expreesion, left_input=-59388, right_input=1944, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-1944","layer":2},{"info":"compute unary expreesion, input=-1944, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-3986","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3986, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":3,"result_base":3,"text":"((⫏≰1111120+⇶⊼⫏≰20100200)∀⇚≩(⫏≰10222201⋥≓≎⫏≰21010112)⪒⫏≰1101111⨎⫏≰12011110⨽(∂⫏≰1101022))⪢(((↩⫏≰101122211)⊉≛↸(⫏≰2200000%⫏≰110020121))⇋≉)=NaN","reverse_text":"NaN=((⫏≰1111120+⇶⊼⫏≰20100200)∀⇚≩(⫏≰10222201⋥≓≎⫏≰21010112)⪒⫏≰1101111⨎⫏≰12011110⨽(∂⫏≰1101022))⪢(((↩⫏≰101122211)⊉≛↸(⫏≰2200000%⫏≰110020121))⇋≉)","cot":[{"info":"⫏≰1111120+⇶⊼⫏≰20100200=NaN","layer":3},{"info":"⫏≰10222201⋥≓≎⫏≰21010112=⫏≰101022120","layer":3},{"info":"NaN∀⇚≩⫏≰101022120=NaN","layer":2},{"info":"⫏≰1101111⨎⫏≰12011110=⫏≰12011110","layer":3},{"info":"∂⫏≰1101022=NaN","layer":3},{"info":"⫏≰12011110⨽NaN=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"↩⫏≰101122211=⫏≰-10000110120","layer":3},{"info":"⫏≰2200000%⫏≰110020121=⫏≰2200000","layer":3},{"info":"⫏≰-10000110120⊉≛↸⫏≰2200000=⫏≰-2200000","layer":2},{"info":"⫏≰-2200000⇋≉=⫏≰-12110122","layer":1},{"info":"NaN⪢⫏≰-12110122=NaN","layer":0}]}
{"id":291,"expression_no_base_symbol":"(($1099$⨎$1020$)∼($3833$⋷$4067$)*(⊙↵-(≉$1808$)))⨎((∂$4865$)∑⇟⊟($3553$⋫)⪨≂(($2182$⨳⩥⨓$1003$)⨁⊸⫻))","expression":"((⫏≰1111201⨎⫏≰1101210)∼(⫏≰12020222⋷⫏≰12120122)*(⊙↵-(≉⫏≰2110222)))⨎((∂⫏≰20200012)∑⇟⊟(⫏≰11212121⋫)⪨≂((⫏≰2222211⨳⩥⨓⫏≰1101011)⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5981,"operation_count":13,"complexity_ratio":460.0769230769231,"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":1099,"base":3},"right_expr":{"type":"numeric_atoms","value":1020,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3833,"base":3},"right_expr":{"type":"numeric_atoms","value":4067,"base":3}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1808,"base":3}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4865,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3553,"base":3}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2182,"base":3},"right_expr":{"type":"numeric_atoms","value":1003,"base":3}}}}},"used_operators":["rJVOvQCfKK","9HNa5Wba9A","DyGG3AbaNP","23Mk6UjR3U","oWn0xqSxBt","e1ybzncUwg","sdazOOVcIp","U7g4x0WXJJ","Uaa54Peajs","JL8yIekQnl","glklzrTFfD","nCS4ZIUYfx"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1020, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1020","layer":3},{"info":"number node, value=3833","layer":4},{"info":"number node, value=4067","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=4067, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4301","layer":3},{"info":"compute binary expreesion, left_input=1020, right_input=4301, 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=1808","layer":4},{"info":"compute unary expreesion, input=1808, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2339","layer":3},{"info":"compute unary expreesion, input=2339, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4865","layer":4},{"info":"compute unary expreesion, input=4865, 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=3553","layer":4},{"info":"compute unary expreesion, input=3553, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3553","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3553, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2182","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=1003, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1179","layer":3},{"info":"compute unary expreesion, input=-1179, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-2358","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2358, op_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 = 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":3,"result_base":3,"text":"((⫏≰1111201⨎⫏≰1101210)∼(⫏≰12020222⋷⫏≰12120122)*(⊙↵-(≉⫏≰2110222)))⨎((∂⫏≰20200012)∑⇟⊟(⫏≰11212121⋫)⪨≂((⫏≰2222211⨳⩥⨓⫏≰1101011)⨁⊸⫻))=NaN","reverse_text":"NaN=((⫏≰1111201⨎⫏≰1101210)∼(⫏≰12020222⋷⫏≰12120122)*(⊙↵-(≉⫏≰2110222)))⨎((∂⫏≰20200012)∑⇟⊟(⫏≰11212121⋫)⪨≂((⫏≰2222211⨳⩥⨓⫏≰1101011)⨁⊸⫻))","cot":[{"info":"⫏≰1111201⨎⫏≰1101210=⫏≰1101210","layer":3},{"info":"⫏≰12020222⋷⫏≰12120122=⫏≰12220022","layer":3},{"info":"⫏≰1101210∼⫏≰12220022=NaN","layer":2},{"info":"≉⫏≰2110222=⫏≰10012122","layer":3},{"info":"⊙↵-⫏≰10012122=⫏≰-1","layer":2},{"info":"NaN*⫏≰-1=NaN","layer":1},{"info":"∂⫏≰20200012=NaN","layer":3},{"info":"⫏≰11212121⋫=⫏≰11212121","layer":3},{"info":"NaN∑⇟⊟⫏≰11212121=NaN","layer":2},{"info":"⫏≰2222211⨳⩥⨓⫏≰1101011=⫏≰-1121200","layer":3},{"info":"⫏≰-1121200⨁⊸⫻=⫏≰-10020100","layer":2},{"info":"NaN⪨≂⫏≰-10020100=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":292,"expression_no_base_symbol":"$1205$↬$9205$∑⇟⊟($4549$⪄$2064$)⇼⇔∾(($2281$∸)⋷(⇁⨣⪵$5039$))%($5015$⨳⩥⨓$2138$%$1438$⨓$2627$)⫥∨⫟((⇁⨣⪵$6469$)≋⫹)","expression":"⫏≰1122122↬⫏≰110121221∑⇟⊟(⫏≰20020111⪄⫏≰2211110)⇼⇔∾((⫏≰10010111∸)⋷(⇁⨣⪵⫏≰20220122))%(⫏≰20212202⨳⩥⨓⫏≰2221012%⫏≰1222021⨓⫏≰10121022)⫥∨⫟((⇁⨣⪵⫏≰22212121)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3075,"operation_count":14,"complexity_ratio":219.64285714285714,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1205,"base":3},"right_expr":{"type":"numeric_atoms","value":9205,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4549,"base":3},"right_expr":{"type":"numeric_atoms","value":2064,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2281,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5039,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5015,"base":3},"right_expr":{"type":"numeric_atoms","value":2138,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1438,"base":3},"right_expr":{"type":"numeric_atoms","value":2627,"base":3}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6469,"base":3}}}}},"used_operators":["k8jYdgA6NY","tifHPKVTfV","U7g4x0WXJJ","B5M0gjZbta","SUmda5xLS4","23Mk6UjR3U","o20kRiQErp","inkyxCbjAn","KYD54nUTWz","nCS4ZIUYfx","3ViojmjbAp","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","B5M0gjZbta","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1205","layer":4},{"info":"number node, value=9205","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=9205, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4549","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=4549, right_input=2064, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-677597","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-677597, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2281","layer":4},{"info":"compute unary expreesion, input=2281, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=5039","layer":4},{"info":"compute unary expreesion, input=5039, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-354","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-354, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=5015","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=5015, right_input=2138, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2877","layer":3},{"info":"number node, value=1438","layer":4},{"info":"number node, value=2627","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=2627, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2630","layer":3},{"info":"compute binary expreesion, left_input=-2877, right_input=-2630, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-247","layer":2},{"info":"number node, value=6469","layer":4},{"info":"compute unary expreesion, input=6469, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵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":"compute binary expreesion, left_input=-247, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫏≰1122122↬⫏≰110121221∑⇟⊟(⫏≰20020111⪄⫏≰2211110)⇼⇔∾((⫏≰10010111∸)⋷(⇁⨣⪵⫏≰20220122))%(⫏≰20212202⨳⩥⨓⫏≰2221012%⫏≰1222021⨓⫏≰10121022)⫥∨⫟((⇁⨣⪵⫏≰22212121)≋⫹)=NaN","reverse_text":"NaN=⫏≰1122122↬⫏≰110121221∑⇟⊟(⫏≰20020111⪄⫏≰2211110)⇼⇔∾((⫏≰10010111∸)⋷(⇁⨣⪵⫏≰20220122))%(⫏≰20212202⨳⩥⨓⫏≰2221012%⫏≰1222021⨓⫏≰10121022)⫥∨⫟((⇁⨣⪵⫏≰22212121)≋⫹)","cot":[{"info":"⫏≰1122122↬⫏≰110121221=NaN","layer":3},{"info":"⫏≰20020111⪄⫏≰2211110=⫏≰-1021102111012","layer":3},{"info":"NaN∑⇟⊟⫏≰-1021102111012=NaN","layer":2},{"info":"⫏≰10010111∸=⫏≰20120","layer":3},{"info":"⇁⨣⪵⫏≰20220122=NaN","layer":3},{"info":"⫏≰20120⋷NaN=⫏≰-111010","layer":2},{"info":"NaN⇼⇔∾⫏≰-111010=NaN","layer":1},{"info":"⫏≰20212202⨳⩥⨓⫏≰2221012=⫏≰-10221120","layer":3},{"info":"⫏≰1222021⨓⫏≰10121022=⫏≰-10121102","layer":3},{"info":"⫏≰-10221120%⫏≰-10121102=⫏≰-100011","layer":2},{"info":"⇁⨣⪵⫏≰22212121=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"⫏≰-100011⫥∨⫟NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":293,"expression_no_base_symbol":"($5415$≧⫂∧$1722$+$1052$⨎$4251$)⪮%⊝((↽≂$5591$)⨐⩸⫘$4062$≭$1061$)⨵⪆($2261$⋳⪒$2463$)⇷($4369$≫≃)⩷∴($5277$⊠≄⫣)∼($2504$≣⋋)","expression":"(⫏≰21102120≧⫂∧⫏≰2100210+⫏≰1102222⨎⫏≰12211110)⪮%⊝((↽≂⫏≰21200002)⨐⩸⫘⫏≰12120110≭⫏≰1110022)⨵⪆(⫏≰10002202⋳⪒⫏≰10101020)⇷(⫏≰12222211≫≃)⩷∴(⫏≰21020110⊠≄⫣)∼(⫏≰10102202≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":25391,"operation_count":15,"complexity_ratio":1692.7333333333333,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5415,"base":3},"right_expr":{"type":"numeric_atoms","value":1722,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1052,"base":3},"right_expr":{"type":"numeric_atoms","value":4251,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5591,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4062,"base":3},"right_expr":{"type":"numeric_atoms","value":1061,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2261,"base":3},"right_expr":{"type":"numeric_atoms","value":2463,"base":3}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4369,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5277,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2504,"base":3}}}}},"used_operators":["2DQ55sFlQl","IWmyXbctLI","W4YGzv6Whe","Ph9nP6C5qx","rJVOvQCfKK","fu6greOZ01","u6S6b8DprG","rxpJgHHUmx","9FxExcQeMw","mp7IySMOzn","12rbrZMWeM","X99M06cbEe","DyGG3AbaNP","DIvbN7qnHd","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5415","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=5415, right_input=1722, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1249","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=4251","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=4251, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4251","layer":3},{"info":"compute binary expreesion, left_input=1249, right_input=4251, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5500","layer":2},{"info":"number node, value=5591","layer":4},{"info":"compute unary expreesion, input=5591, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-11182","layer":3},{"info":"number node, value=4062","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=4062, right_input=1061, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11182, 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=5500, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=2261","layer":4},{"info":"number node, value=2463","layer":4},{"info":"compute binary expreesion, left_input=2261, right_input=2463, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1772","layer":3},{"info":"number node, value=4369","layer":4},{"info":"compute unary expreesion, input=4369, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10139","layer":3},{"info":"compute binary expreesion, left_input=1772, right_input=10139, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=20278","layer":2},{"info":"number node, value=5277","layer":4},{"info":"compute unary expreesion, input=5277, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2504","layer":4},{"info":"compute unary expreesion, input=2504, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=20278, right_input=20, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=40484","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=40484, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21102120≧⫂∧⫏≰2100210+⫏≰1102222⨎⫏≰12211110)⪮%⊝((↽≂⫏≰21200002)⨐⩸⫘⫏≰12120110≭⫏≰1110022)⨵⪆(⫏≰10002202⋳⪒⫏≰10101020)⇷(⫏≰12222211≫≃)⩷∴(⫏≰21020110⊠≄⫣)∼(⫏≰10102202≣⋋)=⫏≰12221","reverse_text":"⫏≰12221=(⫏≰21102120≧⫂∧⫏≰2100210+⫏≰1102222⨎⫏≰12211110)⪮%⊝((↽≂⫏≰21200002)⨐⩸⫘⫏≰12120110≭⫏≰1110022)⨵⪆(⫏≰10002202⋳⪒⫏≰10101020)⇷(⫏≰12222211≫≃)⩷∴(⫏≰21020110⊠≄⫣)∼(⫏≰10102202≣⋋)","cot":[{"info":"⫏≰21102120≧⫂∧⫏≰2100210=⫏≰1201021","layer":3},{"info":"⫏≰1102222⨎⫏≰12211110=⫏≰12211110","layer":3},{"info":"⫏≰1201021+⫏≰12211110=⫏≰21112201","layer":2},{"info":"↽≂⫏≰21200002=⫏≰-120100011","layer":3},{"info":"⫏≰12120110≭⫏≰1110022=NaN","layer":3},{"info":"⫏≰-120100011⨐⩸⫘NaN=NaN","layer":2},{"info":"⫏≰21112201⪮%⊝NaN=NaN","layer":1},{"info":"⫏≰10002202⋳⪒⫏≰10101020=⫏≰2102122","layer":3},{"info":"⫏≰12222211≫≃=⫏≰111220112","layer":3},{"info":"⫏≰2102122⇷⫏≰111220112=⫏≰1000211001","layer":2},{"info":"⫏≰21020110⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰10102202≣⋋=⫏≰0","layer":3},{"info":"⫏≰0∼⫏≰0=⫏≰202","layer":2},{"info":"⫏≰1000211001⩷∴⫏≰202=⫏≰2001112102","layer":1},{"info":"NaN⨵⪆⫏≰2001112102=⫏≰12221","layer":0}]}
{"id":294,"expression_no_base_symbol":"(⊙↵-((-$1680$)⊭∹↮))≧⫂∧((($3663$⊉≛↸$1539$)⊪)⫩⊇)","expression":"(⊙↵-((-⫏≰2022020)⊭∹↮))≧⫂∧(((⫏≰12000200⊉≛↸⫏≰2010000)⊪)⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1752,"operation_count":7,"complexity_ratio":250.28571428571428,"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":1680,"base":3}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3663,"base":3},"right_expr":{"type":"numeric_atoms","value":1539,"base":3}}}}},"used_operators":["Ph9nP6C5qx","oWn0xqSxBt","xNBdhnnwKq","t8gj7n24qd","BjRHVeLaeN","zVYPLywUTj","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-120222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1680","layer":4},{"info":"compute unary expreesion, input=1680, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1680","layer":3},{"info":"compute unary expreesion, input=-1680, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-1680","layer":2},{"info":"compute unary expreesion, input=-1680, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"number node, value=3663","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=3663, right_input=1539, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7326","layer":3},{"info":"compute unary expreesion, input=7326, 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 unary expreesion, input=0, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":1},{"info":"compute binary expreesion, left_input=196, right_input=42, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-431","layer":0}],"base":3,"result_base":3,"text":"(⊙↵-((-⫏≰2022020)⊭∹↮))≧⫂∧(((⫏≰12000200⊉≛↸⫏≰2010000)⊪)⫩⊇)=⫏≰-120222","reverse_text":"⫏≰-120222=(⊙↵-((-⫏≰2022020)⊭∹↮))≧⫂∧(((⫏≰12000200⊉≛↸⫏≰2010000)⊪)⫩⊇)","cot":[{"info":"-⫏≰2022020=⫏≰-2022020","layer":3},{"info":"⫏≰-2022020⊭∹↮=⫏≰-2022020","layer":2},{"info":"⊙↵-⫏≰-2022020=⫏≰21021","layer":1},{"info":"⫏≰12000200⊉≛↸⫏≰2010000=⫏≰101001100","layer":3},{"info":"⫏≰101001100⊪=⫏≰0","layer":2},{"info":"⫏≰0⫩⊇=⫏≰1120","layer":1},{"info":"⫏≰21021≧⫂∧⫏≰1120=⫏≰-120222","layer":0}]}
{"id":295,"expression_no_base_symbol":"∥⊫(≦∁(⨈⫕($2335$⊉≛↸$7836$)))","expression":"∥⊫(≦∁(⨈⫕(⫏≰10012111⊉≛↸⫏≰101202020)))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":419,"operation_count":4,"complexity_ratio":104.75,"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":2335,"base":3},"right_expr":{"type":"numeric_atoms","value":7836,"base":3}}}}},"used_operators":["P8v4zCKN1o","9ICcGScMcE","megm06wKyl","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰1002120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2335","layer":4},{"info":"number node, value=7836","layer":4},{"info":"compute binary expreesion, left_input=2335, right_input=7836, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4670","layer":3},{"info":"compute unary expreesion, input=4670, 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 unary expreesion, input=-70, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=798","layer":0}],"base":3,"result_base":3,"text":"∥⊫(≦∁(⨈⫕(⫏≰10012111⊉≛↸⫏≰101202020)))=⫏≰1002120","reverse_text":"⫏≰1002120=∥⊫(≦∁(⨈⫕(⫏≰10012111⊉≛↸⫏≰101202020)))","cot":[{"info":"⫏≰10012111⊉≛↸⫏≰101202020=⫏≰20101222","layer":3},{"info":"⨈⫕⫏≰20101222=⫏≰-210","layer":2},{"info":"≦∁⫏≰-210=⫏≰-2121","layer":1},{"info":"∥⊫⫏≰-2121=⫏≰1002120","layer":0}]}
{"id":296,"expression_no_base_symbol":"(↩(↩($1630$*$5624$)))⪢(($3167$↙$1645$)⨐⩸⫘$1415$⨎$7240$%$6266$≹⇙⪍$2258$⨓($4780$↪⪝))","expression":"(↩(↩(⫏≰2020101*⫏≰21201022)))⪢((⫏≰11100022↙⫏≰2020221)⨐⩸⫘⫏≰1221102⨎⫏≰100221011%⫏≰22121002≹⇙⪍⫏≰10002122⨓(⫏≰20120001↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4026,"operation_count":11,"complexity_ratio":366.0,"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":1630,"base":3},"right_expr":{"type":"numeric_atoms","value":5624,"base":3}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3167,"base":3},"right_expr":{"type":"numeric_atoms","value":1645,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1415,"base":3},"right_expr":{"type":"numeric_atoms","value":7240,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6266,"base":3},"right_expr":{"type":"numeric_atoms","value":2258,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4780,"base":3}}}}},"used_operators":["dWAJyo7jo9","jLgFTUHLKL","9HNa5Wba9A","k8jYdgA6NY","fu6greOZ01","yyfyN0ffXY","rJVOvQCfKK","3ViojmjbAp","AHs5Up7iyr","l07mrZUIn9"],"dependent_operators":["k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1630","layer":4},{"info":"number node, value=5624","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=5624, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9167120","layer":3},{"info":"compute unary expreesion, input=9167120, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-73334180","layer":2},{"info":"compute unary expreesion, input=-73334180, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=293339340","layer":1},{"info":"number node, value=3167","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=3167, right_input=1645, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4935","layer":3},{"info":"number node, value=1415","layer":4},{"info":"number node, value=7240","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=7240, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7240","layer":3},{"info":"compute binary expreesion, left_input=-4935, right_input=7240, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=6266","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=6266, right_input=2258, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4780","layer":4},{"info":"compute unary expreesion, input=4780, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=292449960","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=292449960, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=293339340, 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":3,"result_base":3,"text":"(↩(↩(⫏≰2020101*⫏≰21201022)))⪢((⫏≰11100022↙⫏≰2020221)⨐⩸⫘⫏≰1221102⨎⫏≰100221011%⫏≰22121002≹⇙⪍⫏≰10002122⨓(⫏≰20120001↪⪝))=NaN","reverse_text":"NaN=(↩(↩(⫏≰2020101*⫏≰21201022)))⪢((⫏≰11100022↙⫏≰2020221)⨐⩸⫘⫏≰1221102⨎⫏≰100221011%⫏≰22121002≹⇙⪍⫏≰10002122⨓(⫏≰20120001↪⪝))","cot":[{"info":"⫏≰2020101*⫏≰21201022=⫏≰122020201220222","layer":3},{"info":"↩⫏≰122020201220222=⫏≰-12002222202120202","layer":2},{"info":"↩⫏≰-12002222202120202=⫏≰202102222011221000","layer":1},{"info":"⫏≰11100022↙⫏≰2020221=⫏≰-20202210","layer":3},{"info":"⫏≰1221102⨎⫏≰100221011=⫏≰100221011","layer":3},{"info":"⫏≰-20202210⨐⩸⫘⫏≰100221011=NaN","layer":2},{"info":"⫏≰22121002≹⇙⪍⫏≰10002122=NaN","layer":3},{"info":"⫏≰20120001↪⪝=⫏≰202101021222221000","layer":3},{"info":"NaN⨓⫏≰202101021222221000=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⫏≰202102222011221000⪢NaN=NaN","layer":0}]}
{"id":297,"expression_no_base_symbol":"((($5527$↙$5429$)⩠)⫌⩹⨱)⨸⪁($1927$∼$1125$≎⊠⪸($2270$⋳⪒$1238$))⪛($7161$⩷∴$1544$⫥∨⫟$1441$⋓$2128$)","expression":"(((⫏≰21120201↙⫏≰21110002)⩠)⫌⩹⨱)⨸⪁(⫏≰2122101∼⫏≰1112200≎⊠⪸(⫏≰10010002⋳⪒⫏≰1200212))⪛(⫏≰100211020⩷∴⫏≰2010012⫥∨⫟⫏≰1222101⋓⫏≰2220211)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5694,"operation_count":11,"complexity_ratio":517.6363636363636,"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":5527,"base":3},"right_expr":{"type":"numeric_atoms","value":5429,"base":3}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1927,"base":3},"right_expr":{"type":"numeric_atoms","value":1125,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2270,"base":3},"right_expr":{"type":"numeric_atoms","value":1238,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7161,"base":3},"right_expr":{"type":"numeric_atoms","value":1544,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1441,"base":3},"right_expr":{"type":"numeric_atoms","value":2128,"base":3}}}}},"used_operators":["g55IO6H4Gj","EBcxylXtPf","sJAwomhLZr","yyfyN0ffXY","uFcxV4UQCh","bJkvcejdHO","DyGG3AbaNP","12rbrZMWeM","KYD54nUTWz","9FxExcQeMw","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5527","layer":4},{"info":"number node, value=5429","layer":4},{"info":"compute binary expreesion, left_input=5527, right_input=5429, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16287","layer":3},{"info":"compute unary expreesion, input=-16287, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=65357","layer":2},{"info":"compute unary expreesion, input=65357, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=132115","layer":1},{"info":"number node, value=1927","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=1125, 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=2270","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=1238, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3015","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3015, 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=7161","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=7161, right_input=1544, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11202","layer":3},{"info":"number node, value=1441","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=2128, op_id = T2fj7uvVaJ 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=11202, right_input=0, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=132115, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰21120201↙⫏≰21110002)⩠)⫌⩹⨱)⨸⪁(⫏≰2122101∼⫏≰1112200≎⊠⪸(⫏≰10010002⋳⪒⫏≰1200212))⪛(⫏≰100211020⩷∴⫏≰2010012⫥∨⫟⫏≰1222101⋓⫏≰2220211)=NaN","reverse_text":"NaN=(((⫏≰21120201↙⫏≰21110002)⩠)⫌⩹⨱)⨸⪁(⫏≰2122101∼⫏≰1112200≎⊠⪸(⫏≰10010002⋳⪒⫏≰1200212))⪛(⫏≰100211020⩷∴⫏≰2010012⫥∨⫟⫏≰1222101⋓⫏≰2220211)","cot":[{"info":"⫏≰21120201↙⫏≰21110002=⫏≰-211100020","layer":3},{"info":"⫏≰-211100020⩠=⫏≰10022122122","layer":2},{"info":"⫏≰10022122122⫌⩹⨱=⫏≰20201020011","layer":1},{"info":"⫏≰2122101∼⫏≰1112200=NaN","layer":3},{"info":"⫏≰10010002⋳⪒⫏≰1200212=⫏≰11010200","layer":3},{"info":"NaN≎⊠⪸⫏≰11010200=NaN","layer":2},{"info":"⫏≰100211020⩷∴⫏≰2010012=⫏≰120100220","layer":3},{"info":"⫏≰1222101⋓⫏≰2220211=⫏≰0","layer":3},{"info":"⫏≰120100220⫥∨⫟⫏≰0=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⫏≰20201020011⨸⪁NaN=NaN","layer":0}]}
{"id":298,"expression_no_base_symbol":"⨵≀≌(≦∁($4454$≣⋋))≧⫂∧(⨵≀≌(↽≂$1487$))","expression":"⨵≀≌(≦∁(⫏≰20002222≣⋋))≧⫂∧(⨵≀≌(↽≂⫏≰2001002))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3527,"operation_count":6,"complexity_ratio":587.8333333333334,"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":4454,"base":3}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1487,"base":3}}}}},"used_operators":["srAu1WTS94","Ph9nP6C5qx","9ICcGScMcE","Tcnh7f0tEr","u6S6b8DprG"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-1211220222220020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4454","layer":4},{"info":"compute unary expreesion, input=4454, 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 = 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=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 unary expreesion, input=-2974, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=8844676","layer":2},{"info":"compute binary expreesion, left_input=-320, right_input=8844676, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8844203","layer":1},{"info":"compute unary expreesion, input=8844203, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-26532609","layer":0}],"base":3,"result_base":3,"text":"⨵≀≌(≦∁(⫏≰20002222≣⋋))≧⫂∧(⨵≀≌(↽≂⫏≰2001002))=⫏≰-1211220222220020","reverse_text":"⫏≰-1211220222220020=⨵≀≌(≦∁(⫏≰20002222≣⋋))≧⫂∧(⨵≀≌(↽≂⫏≰2001002))","cot":[{"info":"⫏≰20002222≣⋋=⫏≰0","layer":3},{"info":"≦∁⫏≰0=⫏≰-102212","layer":2},{"info":"↽≂⫏≰2001002=⫏≰-11002011","layer":3},{"info":"⨵≀≌⫏≰-11002011=⫏≰121122100121121","layer":2},{"info":"⫏≰-102212≧⫂∧⫏≰121122100121121=⫏≰121122022222002","layer":1},{"info":"⨵≀≌⫏≰121122022222002=⫏≰-1211220222220020","layer":0}]}
{"id":299,"expression_no_base_symbol":"(($8055$↙$1723$+(∂$4483$))⨽($1234$⩨$1935$)↬($1748$⊉≛↸$2683$))⋝⋈⪟((≦∁(⨵≀≌$3748$))⪐)","expression":"((⫏≰102001100↙⫏≰2100211+(∂⫏≰20011001))⨽(⫏≰1200201⩨⫏≰2122200)↬(⫏≰2101202⊉≛↸⫏≰10200101))⋝⋈⪟((≦∁(⨵≀≌⫏≰12010211))⪐)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1818,"operation_count":11,"complexity_ratio":165.27272727272728,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":8055,"base":3},"right_expr":{"type":"numeric_atoms","value":1723,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4483,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1234,"base":3},"right_expr":{"type":"numeric_atoms","value":1935,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1748,"base":3},"right_expr":{"type":"numeric_atoms","value":2683,"base":3}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3748,"base":3}}}}},"used_operators":["2DDjHMKMc0","8HhzD0ZcuI","W4YGzv6Whe","yyfyN0ffXY","Uaa54Peajs","B5M0gjZbta","2DlMacCsIx","DZ8iAZOCBD","eH2TOUuTDT","9ICcGScMcE","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8055","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=8055, right_input=1723, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5169","layer":3},{"info":"number node, value=4483","layer":4},{"info":"compute unary expreesion, input=4483, 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=-5169, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1234","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=1935, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1748","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=2683, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3496","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=3496, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=3748","layer":4},{"info":"compute unary expreesion, input=3748, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11244","layer":3},{"info":"compute unary expreesion, input=-11244, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=134, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰102001100↙⫏≰2100211+(∂⫏≰20011001))⨽(⫏≰1200201⩨⫏≰2122200)↬(⫏≰2101202⊉≛↸⫏≰10200101))⋝⋈⪟((≦∁(⨵≀≌⫏≰12010211))⪐)=NaN","reverse_text":"NaN=((⫏≰102001100↙⫏≰2100211+(∂⫏≰20011001))⨽(⫏≰1200201⩨⫏≰2122200)↬(⫏≰2101202⊉≛↸⫏≰10200101))⋝⋈⪟((≦∁(⨵≀≌⫏≰12010211))⪐)","cot":[{"info":"⫏≰102001100↙⫏≰2100211=⫏≰-21002110","layer":3},{"info":"∂⫏≰20011001=NaN","layer":3},{"info":"⫏≰-21002110+NaN=NaN","layer":2},{"info":"⫏≰1200201⩨⫏≰2122200=⫏≰-10","layer":3},{"info":"⫏≰2101202⊉≛↸⫏≰10200101=⫏≰11210111","layer":3},{"info":"⫏≰-10↬⫏≰11210111=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"⨵≀≌⫏≰12010211=⫏≰-120102110","layer":3},{"info":"≦∁⫏≰-120102110=⫏≰2111","layer":2},{"info":"⫏≰2111⪐=⫏≰11222","layer":1},{"info":"NaN⋝⋈⪟⫏≰11222=NaN","layer":0}]}
{"id":300,"expression_no_base_symbol":"((($3446$⪨≂$6448$)⊭∹↮)≦≮≮)⪄(⊥($5354$≹⇙⪍$4554$∀⇚≩(≤/$9675$)))","expression":"(((⫏≰11201122⪨≂⫏≰22211211)⊭∹↮)≦≮≮)⪄(⊥(⫏≰21100022≹⇙⪍⫏≰20020200∀⇚≩(≤/⫏≰111021100)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":107,"operation_count":8,"complexity_ratio":13.375,"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":3446,"base":3},"right_expr":{"type":"numeric_atoms","value":6448,"base":3}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5354,"base":3},"right_expr":{"type":"numeric_atoms","value":4554,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":9675,"base":3}}}}},"used_operators":["SUmda5xLS4","D4vGDi5EA2","xNBdhnnwKq","sdazOOVcIp","Q3PJZHRvZv","LRNGc0VcxI","AHs5Up7iyr","eLAdDNolq6"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","X99M06cbEe","dWAJyo7jo9","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3446","layer":4},{"info":"number node, value=6448","layer":4},{"info":"compute binary expreesion, left_input=3446, right_input=6448, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5902","layer":3},{"info":"compute unary expreesion, input=-5902, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-5902","layer":2},{"info":"compute unary expreesion, input=-5902, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=17706","layer":1},{"info":"number node, value=5354","layer":4},{"info":"number node, value=4554","layer":4},{"info":"compute binary expreesion, left_input=5354, right_input=4554, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=9675","layer":4},{"info":"compute unary expreesion, input=9675, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-9191","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9191, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=17706, 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":3,"result_base":3,"text":"(((⫏≰11201122⪨≂⫏≰22211211)⊭∹↮)≦≮≮)⪄(⊥(⫏≰21100022≹⇙⪍⫏≰20020200∀⇚≩(≤/⫏≰111021100)))=NaN","reverse_text":"NaN=(((⫏≰11201122⪨≂⫏≰22211211)⊭∹↮)≦≮≮)⪄(⊥(⫏≰21100022≹⇙⪍⫏≰20020200∀⇚≩(≤/⫏≰111021100)))","cot":[{"info":"⫏≰11201122⪨≂⫏≰22211211=⫏≰-22002121","layer":3},{"info":"⫏≰-22002121⊭∹↮=⫏≰-22002121","layer":2},{"info":"⫏≰-22002121≦≮≮=⫏≰220021210","layer":1},{"info":"⫏≰21100022≹⇙⪍⫏≰20020200=NaN","layer":3},{"info":"≤/⫏≰111021100=⫏≰-110121102","layer":3},{"info":"NaN∀⇚≩⫏≰-110121102=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⫏≰220021210⪄NaN=NaN","layer":0}]}
{"id":301,"expression_no_base_symbol":"($3526$⨓$3223$⫸⊐(⫛⫱⨽$5452$)⋷(⊙↵-($3675$⩚⊴⇥$1596$)))⩚⊴⇥(((⇁⨣⪵$1312$)⋷(↽≂$5971$))⨸⪁($2051$⊴$1781$⩨($1555$⨸⪁$1229$)))","expression":"(⫏≰11211121⨓⫏≰11102101⫸⊐(⫛⫱⨽⫏≰21110221)⋷(⊙↵-(⫏≰12001010⩚⊴⇥⫏≰2012010)))⩚⊴⇥(((⇁⨣⪵⫏≰1210121)⋷(↽≂⫏≰22012011))⨸⪁(⫏≰2210222⊴⫏≰2102222⩨(⫏≰2010121⨸⪁⫏≰1200112)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12288,"operation_count":14,"complexity_ratio":877.7142857142857,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3526,"base":3},"right_expr":{"type":"numeric_atoms","value":3223,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5452,"base":3}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3675,"base":3},"right_expr":{"type":"numeric_atoms","value":1596,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1312,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5971,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2051,"base":3},"right_expr":{"type":"numeric_atoms","value":1781,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1555,"base":3},"right_expr":{"type":"numeric_atoms","value":1229,"base":3}}}}},"used_operators":["NTOWxs364D","23Mk6UjR3U","mqXw5SEYmG","3ViojmjbAp","DlLNRPXxWL","oWn0xqSxBt","g55IO6H4Gj","inkyxCbjAn","u6S6b8DprG","2DlMacCsIx","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3526","layer":4},{"info":"number node, value=3223","layer":4},{"info":"compute binary expreesion, left_input=3526, right_input=3223, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3226","layer":3},{"info":"number node, value=5452","layer":4},{"info":"compute unary expreesion, input=5452, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3226, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=3675","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=3675, right_input=1596, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5392","layer":3},{"info":"compute unary expreesion, input=-5392, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=196, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-576","layer":1},{"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":"number node, value=5971","layer":4},{"info":"compute unary expreesion, input=5971, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-11942","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11942, 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=2051","layer":4},{"info":"number node, value=1781","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=1781, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1555","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=1229, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5568","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5568, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-576, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11211121⨓⫏≰11102101⫸⊐(⫛⫱⨽⫏≰21110221)⋷(⊙↵-(⫏≰12001010⩚⊴⇥⫏≰2012010)))⩚⊴⇥(((⇁⨣⪵⫏≰1210121)⋷(↽≂⫏≰22012011))⨸⪁(⫏≰2210222⊴⫏≰2102222⩨(⫏≰2010121⨸⪁⫏≰1200112)))=NaN","reverse_text":"NaN=(⫏≰11211121⨓⫏≰11102101⫸⊐(⫛⫱⨽⫏≰21110221)⋷(⊙↵-(⫏≰12001010⩚⊴⇥⫏≰2012010)))⩚⊴⇥(((⇁⨣⪵⫏≰1210121)⋷(↽≂⫏≰22012011))⨸⪁(⫏≰2210222⊴⫏≰2102222⩨(⫏≰2010121⨸⪁⫏≰1200112)))","cot":[{"info":"⫏≰11211121⨓⫏≰11102101=⫏≰-11102111","layer":3},{"info":"⫛⫱⨽⫏≰21110221=⫏≰0","layer":3},{"info":"⫏≰-11102111⫸⊐⫏≰0=⫏≰1022212","layer":2},{"info":"⫏≰12001010⩚⊴⇥⫏≰2012010=⫏≰-21101201","layer":3},{"info":"⊙↵-⫏≰-21101201=⫏≰21021","layer":2},{"info":"⫏≰1022212⋷⫏≰21021=⫏≰-210100","layer":1},{"info":"⇁⨣⪵⫏≰1210121=NaN","layer":3},{"info":"↽≂⫏≰22012011=⫏≰-121101022","layer":3},{"info":"NaN⋷⫏≰-121101022=NaN","layer":2},{"info":"⫏≰2210222⊴⫏≰2102222=NaN","layer":3},{"info":"⫏≰2010121⨸⪁⫏≰1200112=⫏≰21122020","layer":3},{"info":"NaN⩨⫏≰21122020=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⫏≰-210100⩚⊴⇥NaN=NaN","layer":0}]}
{"id":302,"expression_no_base_symbol":"($1051$⨓$3701$⋷$6115$≹⇙⪍$3065$)⨰($1299$⋳⪒$5748$⋥≓≎$2457$≭$2563$)⩨($4747$%$5916$)⨐⩸⫘(⩦⩻⨪$5203$)⪄($4657$∲⫓$3720$)⩷∴($2391$≎⊠⪸$1533$)","expression":"(⫏≰1102221⨓⫏≰12002002⋷⫏≰22101111≹⇙⪍⫏≰11012112)⨰(⫏≰1210010⋳⪒⫏≰21212220⋥≓≎⫏≰10101000≭⫏≰10111221)⩨(⫏≰20111211%⫏≰22010010)⨐⩸⫘(⩦⩻⨪⫏≰21010201)⪄(⫏≰20101111∲⫓⫏≰12002210)⩷∴(⫏≰10021120≎⊠⪸⫏≰2002210)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4034,"operation_count":15,"complexity_ratio":268.93333333333334,"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":1051,"base":3},"right_expr":{"type":"numeric_atoms","value":3701,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6115,"base":3},"right_expr":{"type":"numeric_atoms","value":3065,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1299,"base":3},"right_expr":{"type":"numeric_atoms","value":5748,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2457,"base":3},"right_expr":{"type":"numeric_atoms","value":2563,"base":3}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4747,"base":3},"right_expr":{"type":"numeric_atoms","value":5916,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5203,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4657,"base":3},"right_expr":{"type":"numeric_atoms","value":3720,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2391,"base":3},"right_expr":{"type":"numeric_atoms","value":1533,"base":3}}}}},"used_operators":["2DlMacCsIx","eewbuw0ToL","23Mk6UjR3U","3ViojmjbAp","AHs5Up7iyr","Qy55tPpLXF","12rbrZMWeM","rxpJgHHUmx","SUmda5xLS4","fu6greOZ01","k8jYdgA6NY","2td37pGCOC","9FxExcQeMw","i8ToyICDmI","bJkvcejdHO"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3ViojmjbAp","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":4},{"info":"number node, value=3701","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=3701, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3704","layer":3},{"info":"number node, value=6115","layer":4},{"info":"number node, value=3065","layer":4},{"info":"compute binary expreesion, left_input=6115, right_input=3065, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-3704, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7408","layer":2},{"info":"number node, value=1299","layer":4},{"info":"number node, value=5748","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=5748, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3437","layer":3},{"info":"number node, value=2457","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=2457, right_input=2563, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-3437, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=7408, right_input=67, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7351","layer":1},{"info":"number node, value=4747","layer":4},{"info":"number node, value=5916","layer":4},{"info":"compute binary expreesion, left_input=4747, right_input=5916, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4747","layer":3},{"info":"number node, value=5203","layer":4},{"info":"compute unary expreesion, input=5203, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5203","layer":3},{"info":"compute binary expreesion, left_input=4747, right_input=5203, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4657","layer":4},{"info":"number node, value=3720","layer":4},{"info":"compute binary expreesion, left_input=4657, right_input=3720, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2391","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=2391, right_input=1533, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=618796","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=618796, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1237624","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1237624, 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=7351, right_input=3979, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1102221⨓⫏≰12002002⋷⫏≰22101111≹⇙⪍⫏≰11012112)⨰(⫏≰1210010⋳⪒⫏≰21212220⋥≓≎⫏≰10101000≭⫏≰10111221)⩨(⫏≰20111211%⫏≰22010010)⨐⩸⫘(⩦⩻⨪⫏≰21010201)⪄(⫏≰20101111∲⫓⫏≰12002210)⩷∴(⫏≰10021120≎⊠⪸⫏≰2002210)=⫏≰0","reverse_text":"⫏≰0=(⫏≰1102221⨓⫏≰12002002⋷⫏≰22101111≹⇙⪍⫏≰11012112)⨰(⫏≰1210010⋳⪒⫏≰21212220⋥≓≎⫏≰10101000≭⫏≰10111221)⩨(⫏≰20111211%⫏≰22010010)⨐⩸⫘(⩦⩻⨪⫏≰21010201)⪄(⫏≰20101111∲⫓⫏≰12002210)⩷∴(⫏≰10021120≎⊠⪸⫏≰2002210)","cot":[{"info":"⫏≰1102221⨓⫏≰12002002=⫏≰-12002012","layer":3},{"info":"⫏≰22101111≹⇙⪍⫏≰11012112=NaN","layer":3},{"info":"⫏≰-12002012⋷NaN=⫏≰101011101","layer":2},{"info":"⫏≰1210010⋳⪒⫏≰21212220=⫏≰-11201022","layer":3},{"info":"⫏≰10101000≭⫏≰10111221=NaN","layer":3},{"info":"⫏≰-11201022⋥≓≎NaN=⫏≰2111","layer":2},{"info":"⫏≰101011101⨰⫏≰2111=⫏≰101002021","layer":1},{"info":"⫏≰20111211%⫏≰22010010=⫏≰20111211","layer":3},{"info":"⩦⩻⨪⫏≰21010201=⫏≰21010201","layer":3},{"info":"⫏≰20111211⨐⩸⫘⫏≰21010201=NaN","layer":2},{"info":"⫏≰20101111∲⫓⫏≰12002210=⫏≰0","layer":3},{"info":"⫏≰10021120≎⊠⪸⫏≰2002210=⫏≰1011102211101","layer":3},{"info":"⫏≰0⩷∴⫏≰1011102211101=⫏≰-2022212200221","layer":2},{"info":"NaN⪄⫏≰-2022212200221=⫏≰12110101","layer":1},{"info":"⫏≰101002021⩨⫏≰12110101=⫏≰0","layer":0}]}
{"id":303,"expression_no_base_symbol":"((+⊝⨔$6244$)∑⇟⊟$3191$≹⇙⪍$2687$⊉≛↸((≉$2278$)⇼⇔∾(⩦⩻⨪$1171$)))⨳⩥⨓((⩦⩻⨪($1429$⨸⪁$2919$))%(⇁⨣⪵($1109$⨵⪆$1280$)))","expression":"((+⊝⨔⫏≰22120021)∑⇟⊟⫏≰11101012≹⇙⪍⫏≰10200112⊉≛↸((≉⫏≰10010101)⇼⇔∾(⩦⩻⨪⫏≰1121101)))⨳⩥⨓((⩦⩻⨪(⫏≰1221221⨸⪁⫏≰11000010))%(⇁⨣⪵(⫏≰1112002⨵⪆⫏≰1202102)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":63,"operation_count":13,"complexity_ratio":4.846153846153846,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6244,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3191,"base":3},"right_expr":{"type":"numeric_atoms","value":2687,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2278,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1171,"base":3}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1429,"base":3},"right_expr":{"type":"numeric_atoms","value":2919,"base":3}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1109,"base":3},"right_expr":{"type":"numeric_atoms","value":1280,"base":3}}}}},"used_operators":["nCS4ZIUYfx","DZ8iAZOCBD","U7g4x0WXJJ","DhbWaqg5eL","AHs5Up7iyr","tifHPKVTfV","e1ybzncUwg","2td37pGCOC","k8jYdgA6NY","g55IO6H4Gj","inkyxCbjAn","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6244","layer":4},{"info":"compute unary expreesion, input=6244, 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=3191","layer":4},{"info":"number node, value=2687","layer":4},{"info":"compute binary expreesion, left_input=3191, right_input=2687, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1522, 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=2278","layer":4},{"info":"compute unary expreesion, input=2278, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2809","layer":3},{"info":"number node, value=1171","layer":4},{"info":"compute unary expreesion, input=1171, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1171","layer":3},{"info":"compute binary expreesion, left_input=2809, right_input=1171, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1638","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1638, 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=1429","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=2919, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8696","layer":3},{"info":"compute unary expreesion, input=8696, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8696","layer":2},{"info":"number node, value=1109","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1280, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8696, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((+⊝⨔⫏≰22120021)∑⇟⊟⫏≰11101012≹⇙⪍⫏≰10200112⊉≛↸((≉⫏≰10010101)⇼⇔∾(⩦⩻⨪⫏≰1121101)))⨳⩥⨓((⩦⩻⨪(⫏≰1221221⨸⪁⫏≰11000010))%(⇁⨣⪵(⫏≰1112002⨵⪆⫏≰1202102)))=NaN","reverse_text":"NaN=((+⊝⨔⫏≰22120021)∑⇟⊟⫏≰11101012≹⇙⪍⫏≰10200112⊉≛↸((≉⫏≰10010101)⇼⇔∾(⩦⩻⨪⫏≰1121101)))⨳⩥⨓((⩦⩻⨪(⫏≰1221221⨸⪁⫏≰11000010))%(⇁⨣⪵(⫏≰1112002⨵⪆⫏≰1202102)))","cot":[{"info":"+⊝⨔⫏≰22120021=⫏≰2002101","layer":3},{"info":"⫏≰11101012≹⇙⪍⫏≰10200112=NaN","layer":3},{"info":"⫏≰2002101∑⇟⊟NaN=NaN","layer":2},{"info":"≉⫏≰10010101=⫏≰10212001","layer":3},{"info":"⩦⩻⨪⫏≰1121101=⫏≰1121101","layer":3},{"info":"⫏≰10212001⇼⇔∾⫏≰1121101=⫏≰-2020200","layer":2},{"info":"NaN⊉≛↸⫏≰-2020200=NaN","layer":1},{"info":"⫏≰1221221⨸⪁⫏≰11000010=⫏≰102221002","layer":3},{"info":"⩦⩻⨪⫏≰102221002=⫏≰102221002","layer":2},{"info":"⫏≰1112002⨵⪆⫏≰1202102=⫏≰12221","layer":3},{"info":"⇁⨣⪵⫏≰12221=NaN","layer":2},{"info":"⫏≰102221002%NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":304,"expression_no_base_symbol":"(⨑⩽⪐$1043$≎⊠⪸$1148$)⨟⋌⩍($2355$⪘⫢$1715$↙($1974$↪⪝))∸","expression":"(⨑⩽⪐⫏≰1102122≎⊠⪸⫏≰1120112)⨟⋌⩍(⫏≰10020020⪘⫢⫏≰2100112↙(⫏≰2201010↪⪝))∸","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1171,"operation_count":7,"complexity_ratio":167.28571428571428,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1043,"base":3},"right_expr":{"type":"numeric_atoms","value":1148,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2355,"base":3},"right_expr":{"type":"numeric_atoms","value":1715,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1974,"base":3}}}}},"used_operators":["o20kRiQErp","rGHVDoGpnC","AF7qkfDlqP","bJkvcejdHO","yyfyN0ffXY","oacrs7FA3X","l07mrZUIn9"],"dependent_operators":["tmPS8pqC7x","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","2DDjHMKMc0"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=1148, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=269664","layer":3},{"info":"compute unary expreesion, input=269664, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-269391","layer":2},{"info":"number node, value=2355","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=1715, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4586","layer":3},{"info":"number node, value=1974","layer":4},{"info":"compute unary expreesion, input=1974, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=120773268","layer":3},{"info":"compute binary expreesion, left_input=4586, right_input=120773268, 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=-269391, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":3,"result_base":3,"text":"(⨑⩽⪐⫏≰1102122≎⊠⪸⫏≰1120112)⨟⋌⩍(⫏≰10020020⪘⫢⫏≰2100112↙(⫏≰2201010↪⪝))∸=⫏≰20120","reverse_text":"⫏≰20120=(⨑⩽⪐⫏≰1102122≎⊠⪸⫏≰1120112)⨟⋌⩍(⫏≰10020020⪘⫢⫏≰2100112↙(⫏≰2201010↪⪝))∸","cot":[{"info":"⫏≰1102122≎⊠⪸⫏≰1120112=⫏≰111200220120","layer":3},{"info":"⨑⩽⪐⫏≰111200220120=⫏≰-111200112110","layer":2},{"info":"⫏≰10020020⪘⫢⫏≰2100112=⫏≰20021212","layer":3},{"info":"⫏≰2201010↪⪝=⫏≰22102020220210000","layer":3},{"info":"⫏≰20021212↙⫏≰22102020220210000=NaN","layer":2},{"info":"⫏≰-111200112110⨟⋌⩍NaN=NaN","layer":1},{"info":"NaN∸=⫏≰20120","layer":0}]}
{"id":305,"expression_no_base_symbol":"(($1189$⨎$1502$)⫩⊇)⊴((⊙↵-$5740$)⨸⪁$5944$⨰$3958$)⨐⩸⫘(((+⊝⨔$2003$)⨵⪆($1607$⪨≂$5844$))⫩⊇)","expression":"((⫏≰1122001⨎⫏≰2001122)⫩⊇)⊴((⊙↵-⫏≰21212121)⨸⪁⫏≰22011011⨰⫏≰12102121)⨐⩸⫘(((+⊝⨔⫏≰2202012)⨵⪆(⫏≰2012112⪨≂⫏≰22000110))⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":24632,"operation_count":11,"complexity_ratio":2239.2727272727275,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1189,"base":3},"right_expr":{"type":"numeric_atoms","value":1502,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5740,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5944,"base":3},"right_expr":{"type":"numeric_atoms","value":3958,"base":3}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2003,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1607,"base":3},"right_expr":{"type":"numeric_atoms","value":5844,"base":3}}}}},"used_operators":["fu6greOZ01","Nsiff2A1zJ","BjRHVeLaeN","rJVOvQCfKK","g55IO6H4Gj","oWn0xqSxBt","eewbuw0ToL","2DQ55sFlQl","DhbWaqg5eL","sdazOOVcIp"],"dependent_operators":["3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-11021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1189","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=1502, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1502","layer":3},{"info":"compute unary expreesion, input=1502, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1460","layer":2},{"info":"number node, value=5740","layer":4},{"info":"compute unary expreesion, input=5740, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5944","layer":4},{"info":"number node, value=3958","layer":4},{"info":"compute binary expreesion, left_input=5944, right_input=3958, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1996","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1996, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3990","layer":2},{"info":"compute binary expreesion, left_input=-1460, right_input=3990, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2003","layer":4},{"info":"compute unary expreesion, input=2003, 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=1607","layer":4},{"info":"number node, value=5844","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=5844, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8372","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-8372, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-118","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-118, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-115","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1122001⨎⫏≰2001122)⫩⊇)⊴((⊙↵-⫏≰21212121)⨸⪁⫏≰22011011⨰⫏≰12102121)⨐⩸⫘(((+⊝⨔⫏≰2202012)⨵⪆(⫏≰2012112⪨≂⫏≰22000110))⫩⊇)=⫏≰-11021","reverse_text":"⫏≰-11021=((⫏≰1122001⨎⫏≰2001122)⫩⊇)⊴((⊙↵-⫏≰21212121)⨸⪁⫏≰22011011⨰⫏≰12102121)⨐⩸⫘(((+⊝⨔⫏≰2202012)⨵⪆(⫏≰2012112⪨≂⫏≰22000110))⫩⊇)","cot":[{"info":"⫏≰1122001⨎⫏≰2001122=⫏≰2001122","layer":3},{"info":"⫏≰2001122⫩⊇=⫏≰-2000002","layer":2},{"info":"⊙↵-⫏≰21212121=⫏≰-1","layer":3},{"info":"⫏≰22011011⨰⫏≰12102121=⫏≰2201221","layer":3},{"info":"⫏≰-1⨸⪁⫏≰2201221=⫏≰12110210","layer":2},{"info":"⫏≰-2000002⊴⫏≰12110210=NaN","layer":1},{"info":"+⊝⨔⫏≰2202012=⫏≰2002101","layer":3},{"info":"⫏≰2012112⪨≂⫏≰22000110=⫏≰-102111002","layer":3},{"info":"⫏≰2002101⨵⪆⫏≰-102111002=⫏≰12221","layer":2},{"info":"⫏≰12221⫩⊇=⫏≰-11101","layer":1},{"info":"NaN⨐⩸⫘⫏≰-11101=⫏≰-11021","layer":0}]}
{"id":306,"expression_no_base_symbol":"($2975$⇼⇔∾$1713$)⊴(⫛⫱⨽$4375$)⪮%⊝(+⊝⨔($2304$⋳⪒$4017$))+(⋗⩬⋾((-$1404$)≋⫹))","expression":"(⫏≰11002012⇼⇔∾⫏≰2100110)⊴(⫛⫱⨽⫏≰20000001)⪮%⊝(+⊝⨔(⫏≰10011100⋳⪒⫏≰12111210))+(⋗⩬⋾((-⫏≰1221000)≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1495,"operation_count":10,"complexity_ratio":149.5,"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":2975,"base":3},"right_expr":{"type":"numeric_atoms","value":1713,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4375,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2304,"base":3},"right_expr":{"type":"numeric_atoms","value":4017,"base":3}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1404,"base":3}}}}},"used_operators":["W4YGzv6Whe","IWmyXbctLI","Nsiff2A1zJ","tifHPKVTfV","DlLNRPXxWL","DhbWaqg5eL","12rbrZMWeM","DpFCA1CohY","N41Kp7NANJ","t8gj7n24qd"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-102100011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2975","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=2975, right_input=1713, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1262","layer":3},{"info":"number node, value=4375","layer":4},{"info":"compute unary expreesion, input=4375, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1262, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=2304","layer":4},{"info":"number node, value=4017","layer":4},{"info":"compute binary expreesion, left_input=2304, right_input=4017, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=304","layer":3},{"info":"compute unary expreesion, input=304, 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=-79, right_input=1522, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=158","layer":1},{"info":"number node, value=1404","layer":4},{"info":"compute unary expreesion, input=1404, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1404","layer":3},{"info":"compute unary expreesion, input=-1404, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=2808","layer":2},{"info":"compute unary expreesion, input=2808, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8424","layer":1},{"info":"compute binary expreesion, left_input=158, right_input=-8424, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-8266","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11002012⇼⇔∾⫏≰2100110)⊴(⫛⫱⨽⫏≰20000001)⪮%⊝(+⊝⨔(⫏≰10011100⋳⪒⫏≰12111210))+(⋗⩬⋾((-⫏≰1221000)≋⫹))=⫏≰-102100011","reverse_text":"⫏≰-102100011=(⫏≰11002012⇼⇔∾⫏≰2100110)⊴(⫛⫱⨽⫏≰20000001)⪮%⊝(+⊝⨔(⫏≰10011100⋳⪒⫏≰12111210))+(⋗⩬⋾((-⫏≰1221000)≋⫹))","cot":[{"info":"⫏≰11002012⇼⇔∾⫏≰2100110=⫏≰-1201202","layer":3},{"info":"⫛⫱⨽⫏≰20000001=⫏≰0","layer":3},{"info":"⫏≰-1201202⊴⫏≰0=⫏≰-2221","layer":2},{"info":"⫏≰10011100⋳⪒⫏≰12111210=⫏≰102021","layer":3},{"info":"+⊝⨔⫏≰102021=⫏≰2002101","layer":2},{"info":"⫏≰-2221⪮%⊝⫏≰2002101=⫏≰12212","layer":1},{"info":"-⫏≰1221000=⫏≰-1221000","layer":3},{"info":"⫏≰-1221000≋⫹=⫏≰10212000","layer":2},{"info":"⋗⩬⋾⫏≰10212000=⫏≰-102120000","layer":1},{"info":"⫏≰12212+⫏≰-102120000=⫏≰-102100011","layer":0}]}
{"id":307,"expression_no_base_symbol":"(⪲⇎($5888$⪮%⊝$9732$⪄$5158$⨟⋌⩍$2571$))/($1669$⨟⋌⩍$3554$*($4353$⇼⇔∾$2590$)⨵⪆(∂($6982$⩨$1183$)))","expression":"(⪲⇎(⫏≰22002002⪮%⊝⫏≰111100110⪄⫏≰21002001⨟⋌⩍⫏≰10112020))/(⫏≰2021211⨟⋌⩍⫏≰11212122*(⫏≰12222020⇼⇔∾⫏≰10112221)⨵⪆(∂(⫏≰100120121⩨⫏≰1121211)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":533,"operation_count":11,"complexity_ratio":48.45454545454545,"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":5888,"base":3},"right_expr":{"type":"numeric_atoms","value":9732,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5158,"base":3},"right_expr":{"type":"numeric_atoms","value":2571,"base":3}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1669,"base":3},"right_expr":{"type":"numeric_atoms","value":3554,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4353,"base":3},"right_expr":{"type":"numeric_atoms","value":2590,"base":3}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6982,"base":3},"right_expr":{"type":"numeric_atoms","value":1183,"base":3}}}}},"used_operators":["XhwjNDsVaA","XPYlsWDdGa","SUmda5xLS4","IWmyXbctLI","rGHVDoGpnC","2DQ55sFlQl","9HNa5Wba9A","tifHPKVTfV","Uaa54Peajs","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5888","layer":4},{"info":"number node, value=9732","layer":4},{"info":"compute binary expreesion, left_input=5888, right_input=9732, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12092","layer":3},{"info":"number node, value=5158","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=5158, right_input=2571, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=12092, 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 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=1669","layer":4},{"info":"number node, value=3554","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=3554, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=4353","layer":4},{"info":"number node, value=2590","layer":4},{"info":"compute binary expreesion, left_input=4353, right_input=2590, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1763","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1763, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6982","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=6982, right_input=1183, 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-264","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-264, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⪲⇎(⫏≰22002002⪮%⊝⫏≰111100110⪄⫏≰21002001⨟⋌⩍⫏≰10112020))/(⫏≰2021211⨟⋌⩍⫏≰11212122*(⫏≰12222020⇼⇔∾⫏≰10112221)⨵⪆(∂(⫏≰100120121⩨⫏≰1121211)))=NaN","reverse_text":"NaN=(⪲⇎(⫏≰22002002⪮%⊝⫏≰111100110⪄⫏≰21002001⨟⋌⩍⫏≰10112020))/(⫏≰2021211⨟⋌⩍⫏≰11212122*(⫏≰12222020⇼⇔∾⫏≰10112221)⨵⪆(∂(⫏≰100120121⩨⫏≰1121211)))","cot":[{"info":"⫏≰22002002⪮%⊝⫏≰111100110=⫏≰121120212","layer":3},{"info":"⫏≰21002001⨟⋌⩍⫏≰10112020=NaN","layer":3},{"info":"⫏≰121120212⪄NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⫏≰2021211⨟⋌⩍⫏≰11212122=NaN","layer":3},{"info":"⫏≰12222020⇼⇔∾⫏≰10112221=⫏≰-2102022","layer":3},{"info":"NaN*⫏≰-2102022=NaN","layer":2},{"info":"⫏≰100120121⩨⫏≰1121211=⫏≰0","layer":3},{"info":"∂⫏≰0=⫏≰-100210","layer":2},{"info":"NaN⨵⪆⫏≰-100210=⫏≰12221","layer":1},{"info":"NaN/⫏≰12221=NaN","layer":0}]}
{"id":308,"expression_no_base_symbol":"((-$1666$)+⇶⊼($1174$⨐⩸⫘$4525$)⫸⊐(↣≠⋷$1028$)∼($3198$⊘))⨳⩥⨓(($3526$∲⫓$2237$)⪛($2221$-$6813$))⨟⋌⩍(⫛⫱⨽(≉$3318$))","expression":"((-⫏≰2021201)+⇶⊼(⫏≰1121111⨐⩸⫘⫏≰20012121)⫸⊐(↣≠⋷⫏≰1102002)∼(⫏≰11101110⊘))⨳⩥⨓((⫏≰11211121∲⫓⫏≰10001212)⪛(⫏≰10001021-⫏≰100100100))⨟⋌⩍(⫛⫱⨽(≉⫏≰11112220))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1486,"operation_count":14,"complexity_ratio":106.14285714285714,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1666,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1174,"base":3},"right_expr":{"type":"numeric_atoms","value":4525,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1028,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3198,"base":3}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3526,"base":3},"right_expr":{"type":"numeric_atoms","value":2237,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2221,"base":3},"right_expr":{"type":"numeric_atoms","value":6813,"base":3}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3318,"base":3}}}}},"used_operators":["nCS4ZIUYfx","mqXw5SEYmG","TpPTUOHfaN","t8gj7n24qd","fu6greOZ01","DyGG3AbaNP","Asc51vEJeQ","gu96TGCTMs","rGHVDoGpnC","uFcxV4UQCh","i8ToyICDmI","rysDP5nf3Z","DlLNRPXxWL","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1666","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=4525","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=4525, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-1666, 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=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3198","layer":4},{"info":"compute unary expreesion, input=3198, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20, 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=3526","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=3526, right_input=2237, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2221","layer":4},{"info":"number node, value=6813","layer":4},{"info":"compute binary expreesion, left_input=2221, right_input=6813, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4592","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4592, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=3318","layer":4},{"info":"compute unary expreesion, input=3318, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3849","layer":3},{"info":"compute unary expreesion, input=3849, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((-⫏≰2021201)+⇶⊼(⫏≰1121111⨐⩸⫘⫏≰20012121)⫸⊐(↣≠⋷⫏≰1102002)∼(⫏≰11101110⊘))⨳⩥⨓((⫏≰11211121∲⫓⫏≰10001212)⪛(⫏≰10001021-⫏≰100100100))⨟⋌⩍(⫛⫱⨽(≉⫏≰11112220))=NaN","reverse_text":"NaN=((-⫏≰2021201)+⇶⊼(⫏≰1121111⨐⩸⫘⫏≰20012121)⫸⊐(↣≠⋷⫏≰1102002)∼(⫏≰11101110⊘))⨳⩥⨓((⫏≰11211121∲⫓⫏≰10001212)⪛(⫏≰10001021-⫏≰100100100))⨟⋌⩍(⫛⫱⨽(≉⫏≰11112220))","cot":[{"info":"-⫏≰2021201=⫏≰-2021201","layer":3},{"info":"⫏≰1121111⨐⩸⫘⫏≰20012121=NaN","layer":3},{"info":"⫏≰-2021201+⇶⊼NaN=NaN","layer":2},{"info":"↣≠⋷⫏≰1102002=NaN","layer":3},{"info":"⫏≰11101110⊘=⫏≰0","layer":3},{"info":"NaN∼⫏≰0=⫏≰202","layer":2},{"info":"NaN⫸⊐⫏≰202=NaN","layer":1},{"info":"⫏≰11211121∲⫓⫏≰10001212=⫏≰0","layer":3},{"info":"⫏≰10001021-⫏≰100100100=⫏≰-20022002","layer":3},{"info":"⫏≰0⪛⫏≰-20022002=⫏≰0","layer":2},{"info":"≉⫏≰11112220=⫏≰12021120","layer":3},{"info":"⫛⫱⨽⫏≰12021120=⫏≰0","layer":2},{"info":"⫏≰0⨟⋌⩍⫏≰0=⫏≰0","layer":1},{"info":"NaN⨳⩥⨓⫏≰0=NaN","layer":0}]}
{"id":309,"expression_no_base_symbol":"((⊙↵-$5066$)⩚⊴⇥($5343$*$1491$)⫥∨⫟($5045$⫸⊐$2694$+$1869$∲⫓$5229$))⨟⋌⩍($1214$⪘⫢$1319$⩚⊴⇥$1508$⩷∴$4597$)⪢(+⊝⨔($4088$⨎$1998$))","expression":"((⊙↵-⫏≰20221122)⩚⊴⇥(⫏≰21022220*⫏≰2001020)⫥∨⫟(⫏≰20220212⫸⊐⫏≰10200210+⫏≰2120020∲⫓⫏≰21011200))⨟⋌⩍(⫏≰1122222⪘⫢⫏≰1210212⩚⊴⇥⫏≰2001212⩷∴⫏≰20022021)⪢(+⊝⨔(⫏≰12121102⨎⫏≰2202000))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9709,"operation_count":14,"complexity_ratio":693.5,"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":5066,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5343,"base":3},"right_expr":{"type":"numeric_atoms","value":1491,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5045,"base":3},"right_expr":{"type":"numeric_atoms","value":2694,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1869,"base":3},"right_expr":{"type":"numeric_atoms","value":5229,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1214,"base":3},"right_expr":{"type":"numeric_atoms","value":1319,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1508,"base":3},"right_expr":{"type":"numeric_atoms","value":4597,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4088,"base":3},"right_expr":{"type":"numeric_atoms","value":1998,"base":3}}}}},"used_operators":["rGHVDoGpnC","KYD54nUTWz","NTOWxs364D","oWn0xqSxBt","9HNa5Wba9A","W4YGzv6Whe","mqXw5SEYmG","i8ToyICDmI","dWAJyo7jo9","oacrs7FA3X","9FxExcQeMw","DhbWaqg5eL","rJVOvQCfKK"],"dependent_operators":["Tcnh7f0tEr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5066","layer":4},{"info":"compute unary expreesion, input=5066, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5343","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=5343, right_input=1491, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7966413","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=7966413, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7966533","layer":2},{"info":"number node, value=5045","layer":4},{"info":"number node, value=2694","layer":4},{"info":"compute binary expreesion, left_input=5045, right_input=2694, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10651","layer":3},{"info":"number node, value=1869","layer":4},{"info":"number node, value=5229","layer":4},{"info":"compute binary expreesion, left_input=1869, right_input=5229, 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=10651, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10651","layer":2},{"info":"compute binary expreesion, left_input=-7966533, right_input=10651, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1214","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=1319, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2304","layer":3},{"info":"number node, value=1508","layer":4},{"info":"number node, value=4597","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=4597, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6210","layer":3},{"info":"compute binary expreesion, left_input=2304, right_input=-6210, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=3785","layer":2},{"info":"number node, value=4088","layer":4},{"info":"number node, value=1998","layer":4},{"info":"compute binary expreesion, left_input=4088, right_input=1998, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1998","layer":3},{"info":"compute unary expreesion, input=1998, 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=3785, 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":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":3,"result_base":3,"text":"((⊙↵-⫏≰20221122)⩚⊴⇥(⫏≰21022220*⫏≰2001020)⫥∨⫟(⫏≰20220212⫸⊐⫏≰10200210+⫏≰2120020∲⫓⫏≰21011200))⨟⋌⩍(⫏≰1122222⪘⫢⫏≰1210212⩚⊴⇥⫏≰2001212⩷∴⫏≰20022021)⪢(+⊝⨔(⫏≰12121102⨎⫏≰2202000))=NaN","reverse_text":"NaN=((⊙↵-⫏≰20221122)⩚⊴⇥(⫏≰21022220*⫏≰2001020)⫥∨⫟(⫏≰20220212⫸⊐⫏≰10200210+⫏≰2120020∲⫓⫏≰21011200))⨟⋌⩍(⫏≰1122222⪘⫢⫏≰1210212⩚⊴⇥⫏≰2001212⩷∴⫏≰20022021)⪢(+⊝⨔(⫏≰12121102⨎⫏≰2202000))","cot":[{"info":"⊙↵-⫏≰20221122=⫏≰-1","layer":3},{"info":"⫏≰21022220*⫏≰2001020=⫏≰112222201212100","layer":3},{"info":"⫏≰-1⩚⊴⇥⫏≰112222201212100=⫏≰-112222202000210","layer":2},{"info":"⫏≰20220212⫸⊐⫏≰10200210=⫏≰112121111","layer":3},{"info":"⫏≰2120020∲⫓⫏≰21011200=⫏≰0","layer":3},{"info":"⫏≰112121111+⫏≰0=⫏≰112121111","layer":2},{"info":"⫏≰-112222202000210⫥∨⫟⫏≰112121111=NaN","layer":1},{"info":"⫏≰1122222⪘⫢⫏≰1210212=⫏≰10011100","layer":3},{"info":"⫏≰2001212⩷∴⫏≰20022021=⫏≰-22112000","layer":3},{"info":"⫏≰10011100⩚⊴⇥⫏≰-22112000=⫏≰12012012","layer":2},{"info":"⫏≰12121102⨎⫏≰2202000=⫏≰2202000","layer":3},{"info":"+⊝⨔⫏≰2202000=⫏≰2002101","layer":2},{"info":"⫏≰12012012⪢⫏≰2002101=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":310,"expression_no_base_symbol":"(($4855$⪨≂$3606$)%$5617$∼$3755$)⩷∴((⊥$5295$)⫥∨⫟(-$1184$))⫡⨏((≉$5964$)⫸⊐$2418$≎⊠⪸$6318$)⨓($7432$*$2419$*$2446$≭$1886$)","expression":"((⫏≰20122211⪨≂⫏≰11221120)%⫏≰21201001∼⫏≰12011002)⩷∴((⊥⫏≰21021010)⫥∨⫟(-⫏≰1121212))⫡⨏((≉⫏≰22011220)⫸⊐⫏≰10022120≎⊠⪸⫏≰22200000)⨓(⫏≰101012021*⫏≰10022121*⫏≰10100121≭⫏≰2120212)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3011,"operation_count":15,"complexity_ratio":200.73333333333332,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4855,"base":3},"right_expr":{"type":"numeric_atoms","value":3606,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5617,"base":3},"right_expr":{"type":"numeric_atoms","value":3755,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5295,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1184,"base":3}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5964,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2418,"base":3},"right_expr":{"type":"numeric_atoms","value":6318,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7432,"base":3},"right_expr":{"type":"numeric_atoms","value":2419,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2446,"base":3},"right_expr":{"type":"numeric_atoms","value":1886,"base":3}}}}},"used_operators":["QMFrweE19q","9FxExcQeMw","k8jYdgA6NY","sdazOOVcIp","DyGG3AbaNP","KYD54nUTWz","Q3PJZHRvZv","t8gj7n24qd","3ViojmjbAp","mqXw5SEYmG","e1ybzncUwg","bJkvcejdHO","9HNa5Wba9A","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","fu6greOZ01","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4855","layer":4},{"info":"number node, value=3606","layer":4},{"info":"compute binary expreesion, left_input=4855, right_input=3606, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2600","layer":3},{"info":"number node, value=5617","layer":4},{"info":"number node, value=3755","layer":4},{"info":"compute binary expreesion, left_input=5617, right_input=3755, 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=2600, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5295","layer":4},{"info":"compute unary expreesion, input=5295, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1184","layer":4},{"info":"compute unary expreesion, input=1184, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1184","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1184, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=5964","layer":4},{"info":"compute unary expreesion, input=5964, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6495","layer":3},{"info":"number node, value=2418","layer":4},{"info":"number node, value=6318","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=6318, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=625789","layer":3},{"info":"compute binary expreesion, left_input=6495, right_input=625789, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=2503031","layer":2},{"info":"number node, value=7432","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=7432, right_input=2419, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17978008","layer":3},{"info":"number node, value=2446","layer":4},{"info":"number node, value=1886","layer":4},{"info":"compute binary expreesion, left_input=2446, right_input=1886, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=17978008, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2503031, 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 = 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":3,"result_base":3,"text":"((⫏≰20122211⪨≂⫏≰11221120)%⫏≰21201001∼⫏≰12011002)⩷∴((⊥⫏≰21021010)⫥∨⫟(-⫏≰1121212))⫡⨏((≉⫏≰22011220)⫸⊐⫏≰10022120≎⊠⪸⫏≰22200000)⨓(⫏≰101012021*⫏≰10022121*⫏≰10100121≭⫏≰2120212)=NaN","reverse_text":"NaN=((⫏≰20122211⪨≂⫏≰11221120)%⫏≰21201001∼⫏≰12011002)⩷∴((⊥⫏≰21021010)⫥∨⫟(-⫏≰1121212))⫡⨏((≉⫏≰22011220)⫸⊐⫏≰10022120≎⊠⪸⫏≰22200000)⨓(⫏≰101012021*⫏≰10022121*⫏≰10100121≭⫏≰2120212)","cot":[{"info":"⫏≰20122211⪨≂⫏≰11221120=⫏≰10120022","layer":3},{"info":"⫏≰21201001∼⫏≰12011002=NaN","layer":3},{"info":"⫏≰10120022%NaN=NaN","layer":2},{"info":"⊥⫏≰21021010=NaN","layer":3},{"info":"-⫏≰1121212=⫏≰-1121212","layer":3},{"info":"NaN⫥∨⫟⫏≰-1121212=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"≉⫏≰22011220=⫏≰22220120","layer":3},{"info":"⫏≰10022120≎⊠⪸⫏≰22200000=⫏≰1011210102101","layer":3},{"info":"⫏≰22220120⫸⊐⫏≰1011210102101=⫏≰11201011111212","layer":2},{"info":"⫏≰101012021*⫏≰10022121=⫏≰1020211101012011","layer":3},{"info":"⫏≰10100121≭⫏≰2120212=NaN","layer":3},{"info":"⫏≰1020211101012011*NaN=NaN","layer":2},{"info":"⫏≰11201011111212⨓NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":311,"expression_no_base_symbol":"(↥($5456$⊦⊿))↙($1937$⪢$2118$⩠)⋷($1623$⨟⋌⩍$3128$⪠⩆⊳)⨳⩥⨓(↣≠⋷$2264$)∀⇚≩(⩦⩻⨪$3134$)","expression":"(↥(⫏≰21111002⊦⊿))↙(⫏≰2122202⪢⫏≰2220110⩠)⋷(⫏≰2020010⨟⋌⩍⫏≰11021212⪠⩆⊳)⨳⩥⨓(↣≠⋷⫏≰10002212)∀⇚≩(⩦⩻⨪⫏≰11022002)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2484,"operation_count":12,"complexity_ratio":207.0,"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":5456,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1937,"base":3},"right_expr":{"type":"numeric_atoms","value":2118,"base":3}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1623,"base":3},"right_expr":{"type":"numeric_atoms","value":3128,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2264,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3134,"base":3}}}}},"used_operators":["23Mk6UjR3U","yyfyN0ffXY","A8NUZmVepG","14qkJME0vr","sJAwomhLZr","dWAJyo7jo9","nCS4ZIUYfx","JLbD19bQDL","rGHVDoGpnC","LRNGc0VcxI","Asc51vEJeQ","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","X99M06cbEe","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-1221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5456","layer":4},{"info":"compute unary expreesion, input=5456, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-16447","layer":3},{"info":"compute unary expreesion, input=-16447, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=26","layer":2},{"info":"number node, value=1937","layer":4},{"info":"number node, value=2118","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=2118, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=26, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=26","layer":1},{"info":"number node, value=1623","layer":4},{"info":"number node, value=3128","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=3128, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = 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=2264","layer":4},{"info":"compute unary expreesion, input=2264, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3134","layer":4},{"info":"compute unary expreesion, input=3134, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3134, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=26, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-52","layer":0}],"base":3,"result_base":3,"text":"(↥(⫏≰21111002⊦⊿))↙(⫏≰2122202⪢⫏≰2220110⩠)⋷(⫏≰2020010⨟⋌⩍⫏≰11021212⪠⩆⊳)⨳⩥⨓(↣≠⋷⫏≰10002212)∀⇚≩(⩦⩻⨪⫏≰11022002)=⫏≰-1221","reverse_text":"⫏≰-1221=(↥(⫏≰21111002⊦⊿))↙(⫏≰2122202⪢⫏≰2220110⩠)⋷(⫏≰2020010⨟⋌⩍⫏≰11021212⪠⩆⊳)⨳⩥⨓(↣≠⋷⫏≰10002212)∀⇚≩(⩦⩻⨪⫏≰11022002)","cot":[{"info":"⫏≰21111002⊦⊿=⫏≰-211120011","layer":3},{"info":"↥⫏≰-211120011=⫏≰222","layer":2},{"info":"⫏≰2122202⪢⫏≰2220110=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"⫏≰222↙NaN=⫏≰222","layer":1},{"info":"⫏≰2020010⨟⋌⩍⫏≰11021212=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"↣≠⋷⫏≰10002212=NaN","layer":3},{"info":"⩦⩻⨪⫏≰11022002=⫏≰11022002","layer":3},{"info":"NaN∀⇚≩⫏≰11022002=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⫏≰222⋷NaN=⫏≰-1221","layer":0}]}
{"id":312,"expression_no_base_symbol":"(⨰⫟⨤$5073$∼$1797$⇷($1832$⫸⊐$1557$))⫡⨏(≤/(+⊝⨔$2183$)⨐⩸⫘(+⊝⨔$8371$))","expression":"(⨰⫟⨤⫏≰20221220∼⫏≰2110120⇷(⫏≰2111212⫸⊐⫏≰2010200))⫡⨏(≤/(+⊝⨔⫏≰2222212)⨐⩸⫘(+⊝⨔⫏≰102111001))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":48205,"operation_count":9,"complexity_ratio":5356.111111111111,"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":5073,"base":3},"right_expr":{"type":"numeric_atoms","value":1797,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1832,"base":3},"right_expr":{"type":"numeric_atoms","value":1557,"base":3}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2183,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":8371,"base":3}}}}},"used_operators":["QMFrweE19q","Tw270M8GLb","mp7IySMOzn","DyGG3AbaNP","mqXw5SEYmG","eLAdDNolq6","fu6greOZ01","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","3ViojmjbAp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5073","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=5073, right_input=1797, 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=1832","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=1832, right_input=1557, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6103","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6103, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12206","layer":2},{"info":"compute unary expreesion, input=12206, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=2183","layer":4},{"info":"compute unary expreesion, input=2183, 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=8371","layer":4},{"info":"compute unary expreesion, input=8371, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-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":3,"result_base":3,"text":"(⨰⫟⨤⫏≰20221220∼⫏≰2110120⇷(⫏≰2111212⫸⊐⫏≰2010200))⫡⨏(≤/(+⊝⨔⫏≰2222212)⨐⩸⫘(+⊝⨔⫏≰102111001))=NaN","reverse_text":"NaN=(⨰⫟⨤⫏≰20221220∼⫏≰2110120⇷(⫏≰2111212⫸⊐⫏≰2010200))⫡⨏(≤/(+⊝⨔⫏≰2222212)⨐⩸⫘(+⊝⨔⫏≰102111001))","cot":[{"info":"⫏≰20221220∼⫏≰2110120=NaN","layer":3},{"info":"⫏≰2111212⫸⊐⫏≰2010200=⫏≰22101001","layer":3},{"info":"NaN⇷⫏≰22101001=⫏≰121202002","layer":2},{"info":"⨰⫟⨤⫏≰121202002=NaN","layer":1},{"info":"+⊝⨔⫏≰2222212=⫏≰2002101","layer":3},{"info":"+⊝⨔⫏≰102111001=⫏≰2002101","layer":3},{"info":"⫏≰2002101⨐⩸⫘⫏≰2002101=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"((-(-$8395$))⩚⊴⇥($5852$↛⩡⫤)∼($4207$≧⫂∧$1583$))≹⇙⪍(($5756$⋳⪒$2344$↺$3513$⨽$5475$)⪮%⊝(⊙↵-($1058$⊉≛↸$7032$)))","expression":"((-(-⫏≰102111221))⩚⊴⇥(⫏≰22000202↛⩡⫤)∼(⫏≰12202211≧⫂∧⫏≰2011122))≹⇙⪍((⫏≰21220012⋳⪒⫏≰10012211↺⫏≰11211010⨽⫏≰21111210)⪮%⊝(⊙↵-(⫏≰1110012⊉≛↸⫏≰100122110)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":40652,"operation_count":13,"complexity_ratio":3127.076923076923,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":8395,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5852,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4207,"base":3},"right_expr":{"type":"numeric_atoms","value":1583,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5756,"base":3},"right_expr":{"type":"numeric_atoms","value":2344,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3513,"base":3},"right_expr":{"type":"numeric_atoms","value":5475,"base":3}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1058,"base":3},"right_expr":{"type":"numeric_atoms","value":7032,"base":3}}}}},"used_operators":["AHs5Up7iyr","NTOWxs364D","t8gj7n24qd","DyGG3AbaNP","FU0Cs4j7VP","Ph9nP6C5qx","IWmyXbctLI","7j4O788W3g","12rbrZMWeM","8HhzD0ZcuI","oWn0xqSxBt","DZ8iAZOCBD"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8395","layer":4},{"info":"compute unary expreesion, input=8395, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-8395","layer":3},{"info":"compute unary expreesion, input=-8395, op_id = t8gj7n24qd, unary_op_definition = 'None', output=8395","layer":2},{"info":"number node, value=5852","layer":4},{"info":"compute unary expreesion, input=5852, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-879741","layer":3},{"info":"number node, value=4207","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=4207, right_input=1583, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1110","layer":3},{"info":"compute binary expreesion, left_input=-879741, right_input=1110, 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=8395, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=5756","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=5756, right_input=2344, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8881","layer":3},{"info":"number node, value=3513","layer":4},{"info":"number node, value=5475","layer":4},{"info":"compute binary expreesion, left_input=3513, right_input=5475, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-37038618","layer":3},{"info":"compute binary expreesion, left_input=8881, right_input=-37038618, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-37038618","layer":2},{"info":"number node, value=1058","layer":4},{"info":"number node, value=7032","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=7032, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2116","layer":3},{"info":"compute unary expreesion, input=2116, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-37038618, right_input=-1, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-74076920","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-74076920, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"((-(-⫏≰102111221))⩚⊴⇥(⫏≰22000202↛⩡⫤)∼(⫏≰12202211≧⫂∧⫏≰2011122))≹⇙⪍((⫏≰21220012⋳⪒⫏≰10012211↺⫏≰11211010⨽⫏≰21111210)⪮%⊝(⊙↵-(⫏≰1110012⊉≛↸⫏≰100122110)))=NaN","reverse_text":"NaN=((-(-⫏≰102111221))⩚⊴⇥(⫏≰22000202↛⩡⫤)∼(⫏≰12202211≧⫂∧⫏≰2011122))≹⇙⪍((⫏≰21220012⋳⪒⫏≰10012211↺⫏≰11211010⨽⫏≰21111210)⪮%⊝(⊙↵-(⫏≰1110012⊉≛↸⫏≰100122110)))","cot":[{"info":"-⫏≰102111221=⫏≰-102111221","layer":3},{"info":"-⫏≰-102111221=⫏≰102111221","layer":2},{"info":"⫏≰22000202↛⩡⫤=⫏≰-1122200210000","layer":3},{"info":"⫏≰12202211≧⫂∧⫏≰2011122=⫏≰1112010","layer":3},{"info":"⫏≰-1122200210000∼⫏≰1112010=NaN","layer":2},{"info":"⫏≰102111221⩚⊴⇥NaN=NaN","layer":1},{"info":"⫏≰21220012⋳⪒⫏≰10012211=⫏≰110011221","layer":3},{"info":"⫏≰11211010⨽⫏≰21111210=⫏≰-2120200202102200","layer":3},{"info":"⫏≰110011221↺⫏≰-2120200202102200=⫏≰-2120200202102200","layer":2},{"info":"⫏≰1110012⊉≛↸⫏≰100122110=⫏≰2220101","layer":3},{"info":"⊙↵-⫏≰2220101=⫏≰-1","layer":2},{"info":"⫏≰-2120200202102200⪮%⊝⫏≰-1=⫏≰-12011101111102122","layer":1},{"info":"NaN≹⇙⪍⫏≰-12011101111102122=NaN","layer":0}]}
{"id":314,"expression_no_base_symbol":"(∂($6977$∀⇚≩$1068$)⨟⋌⩍($1012$⩠))≹⇙⪍((⫛⫱⨽(⫓⪴$5581$))-(⩦⩻⨪$1339$)⋓$2094$⪘⫢$4341$)","expression":"(∂(⫏≰100120102∀⇚≩⫏≰1110120)⨟⋌⩍(⫏≰1101111⩠))≹⇙⪍((⫛⫱⨽(⫓⪴⫏≰21122201))-(⩦⩻⨪⫏≰1211121)⋓⫏≰2212120⪘⫢⫏≰12221210)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":55895,"operation_count":11,"complexity_ratio":5081.363636363636,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6977,"base":3},"right_expr":{"type":"numeric_atoms","value":1068,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1012,"base":3}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5581,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1339,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2094,"base":3},"right_expr":{"type":"numeric_atoms","value":4341,"base":3}}}}},"used_operators":["AHs5Up7iyr","Uaa54Peajs","rGHVDoGpnC","LRNGc0VcxI","sJAwomhLZr","rysDP5nf3Z","DlLNRPXxWL","eLxqMNBOBk","T2fj7uvVaJ","2td37pGCOC","oacrs7FA3X"],"dependent_operators":["dWAJyo7jo9","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Tcnh7f0tEr","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6977","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=6977, right_input=1068, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1012","layer":4},{"info":"compute unary expreesion, input=1012, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = 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=5581","layer":4},{"info":"compute unary expreesion, input=5581, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=31147561","layer":3},{"info":"compute unary expreesion, input=31147561, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=1339","layer":4},{"info":"compute unary expreesion, input=1339, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1339","layer":3},{"info":"number node, value=2094","layer":4},{"info":"number node, value=4341","layer":4},{"info":"compute binary expreesion, left_input=2094, right_input=4341, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4064","layer":3},{"info":"compute binary expreesion, left_input=1339, right_input=4064, op_id = T2fj7uvVaJ 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 = rysDP5nf3Z binary_op_definition= 'None', 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":3,"result_base":3,"text":"(∂(⫏≰100120102∀⇚≩⫏≰1110120)⨟⋌⩍(⫏≰1101111⩠))≹⇙⪍((⫛⫱⨽(⫓⪴⫏≰21122201))-(⩦⩻⨪⫏≰1211121)⋓⫏≰2212120⪘⫢⫏≰12221210)=NaN","reverse_text":"NaN=(∂(⫏≰100120102∀⇚≩⫏≰1110120)⨟⋌⩍(⫏≰1101111⩠))≹⇙⪍((⫛⫱⨽(⫓⪴⫏≰21122201))-(⩦⩻⨪⫏≰1211121)⋓⫏≰2212120⪘⫢⫏≰12221210)","cot":[{"info":"⫏≰100120102∀⇚≩⫏≰1110120=NaN","layer":3},{"info":"⫏≰1101111⩠=⫏≰0","layer":3},{"info":"NaN⨟⋌⩍⫏≰0=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⫓⪴⫏≰21122201=⫏≰2011121110102101","layer":3},{"info":"⫛⫱⨽⫏≰2011121110102101=NaN","layer":2},{"info":"⩦⩻⨪⫏≰1211121=⫏≰1211121","layer":3},{"info":"⫏≰2212120⪘⫢⫏≰12221210=⫏≰12120112","layer":3},{"info":"⫏≰1211121⋓⫏≰12120112=⫏≰0","layer":2},{"info":"NaN-⫏≰0=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":315,"expression_no_base_symbol":"⫓⪴(∂($6504$∲⫓$1026$)∼($1664$⇷$2854$))","expression":"⫓⪴(∂(⫏≰22220220∲⫓⫏≰1102000)∼(⫏≰2021122⇷⫏≰10220201))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23309,"operation_count":5,"complexity_ratio":4661.8,"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":6504,"base":3},"right_expr":{"type":"numeric_atoms","value":1026,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1664,"base":3},"right_expr":{"type":"numeric_atoms","value":2854,"base":3}}}}},"used_operators":["eLxqMNBOBk","Uaa54Peajs","DyGG3AbaNP","i8ToyICDmI","mp7IySMOzn"],"dependent_operators":["9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=6504","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=6504, right_input=1026, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1664","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=2854, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5708","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5708, 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 = 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫓⪴(∂(⫏≰22220220∲⫓⫏≰1102000)∼(⫏≰2021122⇷⫏≰10220201))=NaN","reverse_text":"NaN=⫓⪴(∂(⫏≰22220220∲⫓⫏≰1102000)∼(⫏≰2021122⇷⫏≰10220201))","cot":[{"info":"⫏≰22220220∲⫓⫏≰1102000=⫏≰0","layer":3},{"info":"⫏≰2021122⇷⫏≰10220201=⫏≰21211102","layer":3},{"info":"⫏≰0∼⫏≰21211102=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":316,"expression_no_base_symbol":"($1011$⋥≓≎$3076$↙($1432$⋫)⪄(↔($1560$↬$7594$)))⨐⩸⫘($1588$∑⇟⊟$1193$⨸⪁($4843$⫡⨏$2326$))⪛(($4072$⋷$4742$)⇷(⋗⩬⋾$4191$))","expression":"(⫏≰1101110⋥≓≎⫏≰11012221↙(⫏≰1222001⋫)⪄(↔(⫏≰2010210↬⫏≰101102021)))⨐⩸⫘(⫏≰2011211∑⇟⊟⫏≰1122012⨸⪁(⫏≰20122101⫡⨏⫏≰10012011))⪛((⫏≰12120211⋷⫏≰20111122)⇷(⋗⩬⋾⫏≰12202020))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":78785,"operation_count":14,"complexity_ratio":5627.5,"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":1011,"base":3},"right_expr":{"type":"numeric_atoms","value":3076,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1432,"base":3}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1560,"base":3},"right_expr":{"type":"numeric_atoms","value":7594,"base":3}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1588,"base":3},"right_expr":{"type":"numeric_atoms","value":1193,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4843,"base":3},"right_expr":{"type":"numeric_atoms","value":2326,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4072,"base":3},"right_expr":{"type":"numeric_atoms","value":4742,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4191,"base":3}}}}},"used_operators":["fu6greOZ01","SUmda5xLS4","yyfyN0ffXY","Qy55tPpLXF","JL8yIekQnl","ruOEQAzv1W","B5M0gjZbta","uFcxV4UQCh","g55IO6H4Gj","U7g4x0WXJJ","QMFrweE19q","mp7IySMOzn","23Mk6UjR3U","DpFCA1CohY"],"dependent_operators":["3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=3076","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=3076, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5174","layer":3},{"info":"number node, value=1432","layer":4},{"info":"compute unary expreesion, input=1432, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1432","layer":3},{"info":"compute binary expreesion, left_input=5174, right_input=1432, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4296","layer":2},{"info":"number node, value=1560","layer":4},{"info":"number node, value=7594","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=7594, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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=-4296, right_input=-134, 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=1588","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=1193, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4843","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=4843, right_input=2326, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=29650","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=29650, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=4072","layer":4},{"info":"number node, value=4742","layer":4},{"info":"compute binary expreesion, left_input=4072, right_input=4742, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5412","layer":3},{"info":"number node, value=4191","layer":4},{"info":"compute unary expreesion, input=4191, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12573","layer":3},{"info":"compute binary expreesion, left_input=5412, right_input=-12573, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, 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":3,"result_base":3,"text":"(⫏≰1101110⋥≓≎⫏≰11012221↙(⫏≰1222001⋫)⪄(↔(⫏≰2010210↬⫏≰101102021)))⨐⩸⫘(⫏≰2011211∑⇟⊟⫏≰1122012⨸⪁(⫏≰20122101⫡⨏⫏≰10012011))⪛((⫏≰12120211⋷⫏≰20111122)⇷(⋗⩬⋾⫏≰12202020))=NaN","reverse_text":"NaN=(⫏≰1101110⋥≓≎⫏≰11012221↙(⫏≰1222001⋫)⪄(↔(⫏≰2010210↬⫏≰101102021)))⨐⩸⫘(⫏≰2011211∑⇟⊟⫏≰1122012⨸⪁(⫏≰20122101⫡⨏⫏≰10012011))⪛((⫏≰12120211⋷⫏≰20111122)⇷(⋗⩬⋾⫏≰12202020))","cot":[{"info":"⫏≰1101110⋥≓≎⫏≰11012221=⫏≰21002122","layer":3},{"info":"⫏≰1222001⋫=⫏≰1222001","layer":3},{"info":"⫏≰21002122↙⫏≰1222001=⫏≰-12220010","layer":2},{"info":"⫏≰2010210↬⫏≰101102021=NaN","layer":3},{"info":"↔NaN=⫏≰-11222","layer":2},{"info":"⫏≰-12220010⪄⫏≰-11222=⫏≰12110101","layer":1},{"info":"⫏≰2011211∑⇟⊟⫏≰1122012=NaN","layer":3},{"info":"⫏≰20122101⫡⨏⫏≰10012011=⫏≰1111200011","layer":3},{"info":"NaN⨸⪁⫏≰1111200011=NaN","layer":2},{"info":"⫏≰12120211⋷⫏≰20111122=⫏≰21102110","layer":3},{"info":"⋗⩬⋾⫏≰12202020=⫏≰-122020200","layer":3},{"info":"⫏≰21102110⇷⫏≰-122020200=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⫏≰12110101⨐⩸⫘NaN=NaN","layer":0}]}
{"id":317,"expression_no_base_symbol":"((-$1265$)⊴($4437$⊘)↺(⊄⩳↩($2729$⩚⊴⇥$1004$)))⪛(↯⪼($1050$⨓$4688$≫≃))","expression":"((-⫏≰1201212)⊴(⫏≰20002100⊘)↺(⊄⩳↩(⫏≰10202002⩚⊴⇥⫏≰1101012)))⪛(↯⪼(⫏≰1102220⨓⫏≰20102122≫≃))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4753,"operation_count":10,"complexity_ratio":475.3,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1265,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4437,"base":3}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2729,"base":3},"right_expr":{"type":"numeric_atoms","value":1004,"base":3}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1050,"base":3},"right_expr":{"type":"numeric_atoms","value":4688,"base":3}}}}},"used_operators":["uFcxV4UQCh","7j4O788W3g","Nsiff2A1zJ","t8gj7n24qd","gu96TGCTMs","8w2t5hMYqp","NTOWxs364D","8jW3W4yZS5","X99M06cbEe","3ViojmjbAp"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫏≰120212020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1265","layer":4},{"info":"compute unary expreesion, input=1265, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1265","layer":3},{"info":"number node, value=4437","layer":4},{"info":"compute unary expreesion, input=4437, 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=-1265, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=2729","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=2729, right_input=1004, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3854","layer":3},{"info":"compute unary expreesion, input=-3854, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=11562","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=11562, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=11562","layer":1},{"info":"number node, value=1050","layer":4},{"info":"number node, value=4688","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=4688, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4691","layer":3},{"info":"compute unary expreesion, input=-4691, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-7981","layer":2},{"info":"compute unary expreesion, input=-7981, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=15045","layer":1},{"info":"compute binary expreesion, left_input=11562, right_input=15045, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=11562","layer":0}],"base":3,"result_base":3,"text":"((-⫏≰1201212)⊴(⫏≰20002100⊘)↺(⊄⩳↩(⫏≰10202002⩚⊴⇥⫏≰1101012)))⪛(↯⪼(⫏≰1102220⨓⫏≰20102122≫≃))=⫏≰120212020","reverse_text":"⫏≰120212020=((-⫏≰1201212)⊴(⫏≰20002100⊘)↺(⊄⩳↩(⫏≰10202002⩚⊴⇥⫏≰1101012)))⪛(↯⪼(⫏≰1102220⨓⫏≰20102122≫≃))","cot":[{"info":"-⫏≰1201212=⫏≰-1201212","layer":3},{"info":"⫏≰20002100⊘=⫏≰0","layer":3},{"info":"⫏≰-1201212⊴⫏≰0=⫏≰-2221","layer":2},{"info":"⫏≰10202002⩚⊴⇥⫏≰1101012=⫏≰-12021202","layer":3},{"info":"⊄⩳↩⫏≰-12021202=⫏≰120212020","layer":2},{"info":"⫏≰-2221↺⫏≰120212020=⫏≰120212020","layer":1},{"info":"⫏≰1102220⨓⫏≰20102122=⫏≰-20102202","layer":3},{"info":"⫏≰-20102202≫≃=⫏≰-101221121","layer":2},{"info":"↯⪼⫏≰-101221121=⫏≰202122020","layer":1},{"info":"⫏≰120212020⪛⫏≰202122020=⫏≰120212020","layer":0}]}
{"id":318,"expression_no_base_symbol":"⊥(⪲⇎((⋗⩬⋾$1830$)⨳⩥⨓$3422$⪮%⊝$4914$))","expression":"⊥(⪲⇎((⋗⩬⋾⫏≰2111210)⨳⩥⨓⫏≰11200202⪮%⊝⫏≰20202000))","highest_n_order":4,"priority_hierarchical_complexity":3,"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":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1830,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3422,"base":3},"right_expr":{"type":"numeric_atoms","value":4914,"base":3}}}}},"used_operators":["Q3PJZHRvZv","XPYlsWDdGa","nCS4ZIUYfx","DpFCA1CohY","IWmyXbctLI"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1830","layer":4},{"info":"compute unary expreesion, input=1830, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5490","layer":3},{"info":"number node, value=3422","layer":4},{"info":"number node, value=4914","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=4914, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7160","layer":3},{"info":"compute binary expreesion, left_input=-5490, right_input=7160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=12650","layer":2},{"info":"compute unary expreesion, input=12650, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=25300","layer":1},{"info":"compute unary expreesion, input=25300, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊥(⪲⇎((⋗⩬⋾⫏≰2111210)⨳⩥⨓⫏≰11200202⪮%⊝⫏≰20202000))=NaN","reverse_text":"NaN=⊥(⪲⇎((⋗⩬⋾⫏≰2111210)⨳⩥⨓⫏≰11200202⪮%⊝⫏≰20202000))","cot":[{"info":"⋗⩬⋾⫏≰2111210=⫏≰-21112100","layer":3},{"info":"⫏≰11200202⪮%⊝⫏≰20202000=⫏≰100211012","layer":3},{"info":"⫏≰-21112100⨳⩥⨓⫏≰100211012=⫏≰122100112","layer":2},{"info":"⪲⇎⫏≰122100112=⫏≰1021201001","layer":1},{"info":"⊥⫏≰1021201001=NaN","layer":0}]}
{"id":319,"expression_no_base_symbol":"(↩(↣≠⋷$1543$))⩷∴(∥⊫$6325$)⪢($3101$*$3753$)⊦⊿","expression":"(↩(↣≠⋷⫏≰2010011))⩷∴(∥⊫⫏≰22200021)⪢(⫏≰11020212*⫏≰12011000)⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3140,"operation_count":7,"complexity_ratio":448.57142857142856,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1543,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":6325,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3101,"base":3},"right_expr":{"type":"numeric_atoms","value":3753,"base":3}}}}},"used_operators":["14qkJME0vr","9FxExcQeMw","jLgFTUHLKL","Asc51vEJeQ","dWAJyo7jo9","P8v4zCKN1o","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1543","layer":4},{"info":"compute unary expreesion, input=1543, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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=6325","layer":4},{"info":"compute unary expreesion, input=6325, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=7193","layer":3},{"info":"number node, value=3101","layer":4},{"info":"number node, value=3753","layer":4},{"info":"compute binary expreesion, left_input=3101, right_input=3753, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11638053","layer":3},{"info":"compute binary expreesion, left_input=7193, right_input=11638053, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↩(↣≠⋷⫏≰2010011))⩷∴(∥⊫⫏≰22200021)⪢(⫏≰11020212*⫏≰12011000)⊦⊿=NaN","reverse_text":"NaN=(↩(↣≠⋷⫏≰2010011))⩷∴(∥⊫⫏≰22200021)⪢(⫏≰11020212*⫏≰12011000)⊦⊿","cot":[{"info":"↣≠⋷⫏≰2010011=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"∥⊫⫏≰22200021=⫏≰100212102","layer":3},{"info":"⫏≰11020212*⫏≰12011000=⫏≰210220021102000","layer":3},{"info":"⫏≰100212102⪢⫏≰210220021102000=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":320,"expression_no_base_symbol":"($8073$∑⇟⊟$5216$⨵⪆$3242$⇷$2734$/$3483$≧⫂∧$3802$⩚⊴⇥($2517$⪄$1634$))⫸⊐((($3519$≦≮≮)⊠≄⫣)≣⋋)","expression":"(⫏≰102002000∑⇟⊟⫏≰21011012⨵⪆⫏≰11110002⇷⫏≰10202021/⫏≰11210000≧⫂∧⫏≰12012211⩚⊴⇥(⫏≰10110020⪄⫏≰2020112))⫸⊐(((⫏≰11211100≦≮≮)⊠≄⫣)≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":45510,"operation_count":11,"complexity_ratio":4137.272727272727,"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":8073,"base":3},"right_expr":{"type":"numeric_atoms","value":5216,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3242,"base":3},"right_expr":{"type":"numeric_atoms","value":2734,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3483,"base":3},"right_expr":{"type":"numeric_atoms","value":3802,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2517,"base":3},"right_expr":{"type":"numeric_atoms","value":1634,"base":3}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3519,"base":3}}}}},"used_operators":["mqXw5SEYmG","XhwjNDsVaA","2DQ55sFlQl","U7g4x0WXJJ","mp7IySMOzn","NTOWxs364D","Ph9nP6C5qx","SUmda5xLS4","Tcnh7f0tEr","DIvbN7qnHd","D4vGDi5EA2"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8073","layer":4},{"info":"number node, value=5216","layer":4},{"info":"compute binary expreesion, left_input=8073, right_input=5216, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3242","layer":4},{"info":"number node, value=2734","layer":4},{"info":"compute binary expreesion, left_input=3242, right_input=2734, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5468","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5468, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3483","layer":4},{"info":"number node, value=3802","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=3802, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3329","layer":3},{"info":"number node, value=2517","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=2517, right_input=1634, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-375141","layer":3},{"info":"compute binary expreesion, left_input=3329, right_input=-375141, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=371691","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=371691, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3519","layer":4},{"info":"compute unary expreesion, input=3519, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10557","layer":3},{"info":"compute unary expreesion, input=-10557, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"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":1},{"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":0}],"base":3,"result_base":3,"text":"(⫏≰102002000∑⇟⊟⫏≰21011012⨵⪆⫏≰11110002⇷⫏≰10202021/⫏≰11210000≧⫂∧⫏≰12012211⩚⊴⇥(⫏≰10110020⪄⫏≰2020112))⫸⊐(((⫏≰11211100≦≮≮)⊠≄⫣)≣⋋)=⫏≰0","reverse_text":"⫏≰0=(⫏≰102002000∑⇟⊟⫏≰21011012⨵⪆⫏≰11110002⇷⫏≰10202021/⫏≰11210000≧⫂∧⫏≰12012211⩚⊴⇥(⫏≰10110020⪄⫏≰2020112))⫸⊐(((⫏≰11211100≦≮≮)⊠≄⫣)≣⋋)","cot":[{"info":"⫏≰102002000∑⇟⊟⫏≰21011012=NaN","layer":3},{"info":"⫏≰11110002⇷⫏≰10202021=⫏≰21111112","layer":3},{"info":"NaN⨵⪆⫏≰21111112=⫏≰12221","layer":2},{"info":"⫏≰11210000≧⫂∧⫏≰12012211=⫏≰11120022","layer":3},{"info":"⫏≰10110020⪄⫏≰2020112=⫏≰-201001121010","layer":3},{"info":"⫏≰11120022⩚⊴⇥⫏≰-201001121010=⫏≰200212212100","layer":2},{"info":"⫏≰12221/⫏≰200212212100=⫏≰0","layer":1},{"info":"⫏≰11211100≦≮≮=⫏≰-112111000","layer":3},{"info":"⫏≰-112111000⊠≄⫣=⫏≰0","layer":2},{"info":"⫏≰0≣⋋=⫏≰0","layer":1},{"info":"⫏≰0⫸⊐⫏≰0=⫏≰0","layer":0}]}
{"id":321,"expression_no_base_symbol":"(($3165$⩚⊴⇥$3092$+(↯⪼$3270$))⩚⊴⇥(($1198$⪨≂$1779$)+⇶⊼($1472$≎⊠⪸$3942$)))⋓($5831$⋓$4613$⋝⋈⪟($5380$↙$3625$)⩚⊴⇥($8338$⨐⩸⫘$3769$)⇷$1681$⇷$2434$)","expression":"((⫏≰11100020⩚⊴⇥⫏≰11020112+(↯⪼⫏≰11111010))⩚⊴⇥((⫏≰1122101⪨≂⫏≰2102220)+⇶⊼(⫏≰2000112≎⊠⪸⫏≰12102000)))⋓(⫏≰21222222⋓⫏≰20022212⋝⋈⪟(⫏≰21101021↙⫏≰11222021)⩚⊴⇥(⫏≰102102211⨐⩸⫘⫏≰12011121)⇷⫏≰2022021⇷⫏≰10100011)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27522,"operation_count":15,"complexity_ratio":1834.8,"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":3165,"base":3},"right_expr":{"type":"numeric_atoms","value":3092,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3270,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1198,"base":3},"right_expr":{"type":"numeric_atoms","value":1779,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1472,"base":3},"right_expr":{"type":"numeric_atoms","value":3942,"base":3}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5831,"base":3},"right_expr":{"type":"numeric_atoms","value":4613,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5380,"base":3},"right_expr":{"type":"numeric_atoms","value":3625,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8338,"base":3},"right_expr":{"type":"numeric_atoms","value":3769,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1681,"base":3},"right_expr":{"type":"numeric_atoms","value":2434,"base":3}}}}},"used_operators":["T2fj7uvVaJ","NTOWxs364D","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","sdazOOVcIp","bJkvcejdHO","2DDjHMKMc0","yyfyN0ffXY","mp7IySMOzn","fu6greOZ01"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3165","layer":4},{"info":"number node, value=3092","layer":4},{"info":"compute binary expreesion, left_input=3165, right_input=3092, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6378","layer":3},{"info":"number node, value=3270","layer":4},{"info":"compute unary expreesion, input=3270, 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=-6378, right_input=-21, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-6399","layer":2},{"info":"number node, value=1198","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=1779, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1060","layer":3},{"info":"number node, value=1472","layer":4},{"info":"number node, value=3942","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=3942, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=380775","layer":3},{"info":"compute binary expreesion, left_input=-1060, right_input=380775, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=5831","layer":4},{"info":"number node, value=4613","layer":4},{"info":"compute binary expreesion, left_input=5831, right_input=4613, op_id = T2fj7uvVaJ 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=5380","layer":4},{"info":"number node, value=3625","layer":4},{"info":"compute binary expreesion, left_input=5380, right_input=3625, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10875","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10875, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"number node, value=8338","layer":4},{"info":"number node, value=3769","layer":4},{"info":"compute binary expreesion, left_input=8338, right_input=3769, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1681","layer":4},{"info":"number node, value=2434","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=2434, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4868","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4868, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9736","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9736, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9857","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9857, op_id = T2fj7uvVaJ 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":3,"result_base":3,"text":"((⫏≰11100020⩚⊴⇥⫏≰11020112+(↯⪼⫏≰11111010))⩚⊴⇥((⫏≰1122101⪨≂⫏≰2102220)+⇶⊼(⫏≰2000112≎⊠⪸⫏≰12102000)))⋓(⫏≰21222222⋓⫏≰20022212⋝⋈⪟(⫏≰21101021↙⫏≰11222021)⩚⊴⇥(⫏≰102102211⨐⩸⫘⫏≰12011121)⇷⫏≰2022021⇷⫏≰10100011)=⫏≰0","reverse_text":"⫏≰0=((⫏≰11100020⩚⊴⇥⫏≰11020112+(↯⪼⫏≰11111010))⩚⊴⇥((⫏≰1122101⪨≂⫏≰2102220)+⇶⊼(⫏≰2000112≎⊠⪸⫏≰12102000)))⋓(⫏≰21222222⋓⫏≰20022212⋝⋈⪟(⫏≰21101021↙⫏≰11222021)⩚⊴⇥(⫏≰102102211⨐⩸⫘⫏≰12011121)⇷⫏≰2022021⇷⫏≰10100011)","cot":[{"info":"⫏≰11100020⩚⊴⇥⫏≰11020112=⫏≰-22202020","layer":3},{"info":"↯⪼⫏≰11111010=⫏≰-210","layer":3},{"info":"⫏≰-22202020+⫏≰-210=⫏≰-22210000","layer":2},{"info":"⫏≰1122101⪨≂⫏≰2102220=⫏≰-1110021","layer":3},{"info":"⫏≰2000112≎⊠⪸⫏≰12102000=⫏≰201100022210","layer":3},{"info":"⫏≰-1110021+⇶⊼⫏≰201100022210=NaN","layer":2},{"info":"⫏≰-22210000⩚⊴⇥NaN=NaN","layer":1},{"info":"⫏≰21222222⋓⫏≰20022212=⫏≰0","layer":3},{"info":"⫏≰21101021↙⫏≰11222021=⫏≰-112220210","layer":3},{"info":"⫏≰0⋝⋈⪟⫏≰-112220210=⫏≰0","layer":2},{"info":"⫏≰102102211⨐⩸⫘⫏≰12011121=NaN","layer":3},{"info":"⫏≰2022021⇷⫏≰10100011=⫏≰20200022","layer":3},{"info":"NaN⇷⫏≰20200022=⫏≰111100121","layer":2},{"info":"⫏≰0⩚⊴⇥⫏≰111100121=⫏≰-111112002","layer":1},{"info":"NaN⋓⫏≰-111112002=⫏≰0","layer":0}]}
{"id":322,"expression_no_base_symbol":"(($1585$⋷$2247$)⩷∴(↥$1063$))⪮%⊝(($3110$∸)∑⇟⊟($4274$⨸⪁$1099$))⋥≓≎(↣≠⋷($7454$⪒$4642$))≹⇙⪍($1510$⊴$2407$≎⊠⪸$1485$⪘⫢$4524$)","expression":"((⫏≰2011201⋷⫏≰10002020)⩷∴(↥⫏≰1110101))⪮%⊝((⫏≰11021012∸)∑⇟⊟(⫏≰12212022⨸⪁⫏≰1111201))⋥≓≎(↣≠⋷(⫏≰101020002⪒⫏≰20100221))≹⇙⪍(⫏≰2001221⊴⫏≰10022011≎⊠⪸⫏≰2001000⪘⫢⫏≰20012120)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2668,"operation_count":14,"complexity_ratio":190.57142857142858,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1585,"base":3},"right_expr":{"type":"numeric_atoms","value":2247,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1063,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3110,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4274,"base":3},"right_expr":{"type":"numeric_atoms","value":1099,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7454,"base":3},"right_expr":{"type":"numeric_atoms","value":4642,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1510,"base":3},"right_expr":{"type":"numeric_atoms","value":2407,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1485,"base":3},"right_expr":{"type":"numeric_atoms","value":4524,"base":3}}}}},"used_operators":["Qy55tPpLXF","IWmyXbctLI","9FxExcQeMw","23Mk6UjR3U","A8NUZmVepG","U7g4x0WXJJ","o20kRiQErp","g55IO6H4Gj","AHs5Up7iyr","Asc51vEJeQ","f6k1SAg4EE","bJkvcejdHO","Nsiff2A1zJ","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1585","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=2247, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2909","layer":3},{"info":"number node, value=1063","layer":4},{"info":"compute unary expreesion, input=1063, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=43","layer":3},{"info":"compute binary expreesion, left_input=2909, right_input=43, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5700","layer":2},{"info":"number node, value=3110","layer":4},{"info":"compute unary expreesion, input=3110, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=4274","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=4274, right_input=1099, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10746","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=10746, 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=5700, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=7454","layer":4},{"info":"number node, value=4642","layer":4},{"info":"compute binary expreesion, left_input=7454, right_input=4642, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12096","layer":3},{"info":"compute unary expreesion, input=-12096, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1510","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=2407, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1485","layer":4},{"info":"number node, value=4524","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=4524, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2846","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2846, 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=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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2011201⋷⫏≰10002020)⩷∴(↥⫏≰1110101))⪮%⊝((⫏≰11021012∸)∑⇟⊟(⫏≰12212022⨸⪁⫏≰1111201))⋥≓≎(↣≠⋷(⫏≰101020002⪒⫏≰20100221))≹⇙⪍(⫏≰2001221⊴⫏≰10022011≎⊠⪸⫏≰2001000⪘⫢⫏≰20012120)=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰2011201⋷⫏≰10002020)⩷∴(↥⫏≰1110101))⪮%⊝((⫏≰11021012∸)∑⇟⊟(⫏≰12212022⨸⪁⫏≰1111201))⋥≓≎(↣≠⋷(⫏≰101020002⪒⫏≰20100221))≹⇙⪍(⫏≰2001221⊴⫏≰10022011≎⊠⪸⫏≰2001000⪘⫢⫏≰20012120)","cot":[{"info":"⫏≰2011201⋷⫏≰10002020=⫏≰10222202","layer":3},{"info":"↥⫏≰1110101=⫏≰1121","layer":3},{"info":"⫏≰10222202⩷∴⫏≰1121=⫏≰21211010","layer":2},{"info":"⫏≰11021012∸=⫏≰20120","layer":3},{"info":"⫏≰12212022⨸⪁⫏≰1111201=⫏≰112202000","layer":3},{"info":"⫏≰20120∑⇟⊟⫏≰112202000=NaN","layer":2},{"info":"⫏≰21211010⪮%⊝NaN=NaN","layer":1},{"info":"⫏≰101020002⪒⫏≰20100221=⫏≰-121121000","layer":3},{"info":"↣≠⋷⫏≰-121121000=NaN","layer":2},{"info":"⫏≰2001221⊴⫏≰10022011=NaN","layer":3},{"info":"⫏≰2001000⪘⫢⫏≰20012120=⫏≰10220102","layer":3},{"info":"NaN≎⊠⪸⫏≰10220102=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫏≰2111","layer":0}]}
{"id":323,"expression_no_base_symbol":"↩(($3169$⨵⪆$1410$)%$2632$≭$1270$)⋓($2459$⋝⋈⪟$2247$)≹⇙⪍($4642$⊴$1442$)","expression":"↩((⫏≰11100101⨵⪆⫏≰1221020)%⫏≰10121111≭⫏≰1202001)⋓(⫏≰10101002⋝⋈⪟⫏≰10002020)≹⇙⪍(⫏≰20100221⊴⫏≰1222102)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4593,"operation_count":8,"complexity_ratio":574.125,"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":3169,"base":3},"right_expr":{"type":"numeric_atoms","value":1410,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2632,"base":3},"right_expr":{"type":"numeric_atoms","value":1270,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2459,"base":3},"right_expr":{"type":"numeric_atoms","value":2247,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4642,"base":3},"right_expr":{"type":"numeric_atoms","value":1442,"base":3}}}}},"used_operators":["jLgFTUHLKL","T2fj7uvVaJ","k8jYdgA6NY","2DQ55sFlQl","rxpJgHHUmx","AHs5Up7iyr","2DDjHMKMc0","Nsiff2A1zJ"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3169","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=3169, right_input=1410, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2632","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=2632, right_input=1270, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2459","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=2247, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2459","layer":3},{"info":"number node, value=4642","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=4642, right_input=1442, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2459, 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=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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↩((⫏≰11100101⨵⪆⫏≰1221020)%⫏≰10121111≭⫏≰1202001)⋓(⫏≰10101002⋝⋈⪟⫏≰10002020)≹⇙⪍(⫏≰20100221⊴⫏≰1222102)=NaN","reverse_text":"NaN=↩((⫏≰11100101⨵⪆⫏≰1221020)%⫏≰10121111≭⫏≰1202001)⋓(⫏≰10101002⋝⋈⪟⫏≰10002020)≹⇙⪍(⫏≰20100221⊴⫏≰1222102)","cot":[{"info":"⫏≰11100101⨵⪆⫏≰1221020=⫏≰12221","layer":3},{"info":"⫏≰10121111≭⫏≰1202001=NaN","layer":3},{"info":"⫏≰12221%NaN=NaN","layer":2},{"info":"⫏≰10101002⋝⋈⪟⫏≰10002020=⫏≰10101002","layer":3},{"info":"⫏≰20100221⊴⫏≰1222102=NaN","layer":3},{"info":"⫏≰10101002≹⇙⪍NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":324,"expression_no_base_symbol":"((≦∁$1253$)⨳⩥⨓($3319$⫸⊐$1374$)⇼⇔∾(∥⊫$1910$⨽$6634$))↬((∥⊫(∥⊫$2463$))⨸⪁$2166$⫥∨⫟$2321$⋳⪒($3323$⊭↱$3031$))","expression":"((≦∁⫏≰1201102)⨳⩥⨓(⫏≰11112221⫸⊐⫏≰1212220)⇼⇔∾(∥⊫⫏≰2121202⨽⫏≰100002201))↬((∥⊫(∥⊫⫏≰10101020))⨸⪁⫏≰2222020⫥∨⫟⫏≰10011222⋳⪒(⫏≰11120002⊭↱⫏≰11011021))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2131,"operation_count":13,"complexity_ratio":163.92307692307693,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1253,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3319,"base":3},"right_expr":{"type":"numeric_atoms","value":1374,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1910,"base":3},"right_expr":{"type":"numeric_atoms","value":6634,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2463,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2166,"base":3},"right_expr":{"type":"numeric_atoms","value":2321,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3323,"base":3},"right_expr":{"type":"numeric_atoms","value":3031,"base":3}}}}},"used_operators":["B5M0gjZbta","tifHPKVTfV","nCS4ZIUYfx","9ICcGScMcE","mqXw5SEYmG","P8v4zCKN1o","8HhzD0ZcuI","g55IO6H4Gj","12rbrZMWeM","KYD54nUTWz","COABgblf1C"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1253","layer":4},{"info":"compute unary expreesion, input=1253, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1253","layer":3},{"info":"number node, value=3319","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=1374, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5371","layer":3},{"info":"compute binary expreesion, left_input=1253, right_input=5371, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4118","layer":2},{"info":"number node, value=1910","layer":4},{"info":"number node, value=6634","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=6634, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10962888","layer":3},{"info":"compute unary expreesion, input=-10962888, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=4118, right_input=-55, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4173","layer":1},{"info":"number node, value=2463","layer":4},{"info":"compute unary expreesion, input=2463, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3331","layer":3},{"info":"compute unary expreesion, input=3331, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4199","layer":2},{"info":"number node, value=2166","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=2166, right_input=2321, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3323","layer":4},{"info":"number node, value=3031","layer":4},{"info":"compute binary expreesion, left_input=3323, right_input=3031, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-579","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-579, 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=4199, 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=-4173, 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":3,"result_base":3,"text":"((≦∁⫏≰1201102)⨳⩥⨓(⫏≰11112221⫸⊐⫏≰1212220)⇼⇔∾(∥⊫⫏≰2121202⨽⫏≰100002201))↬((∥⊫(∥⊫⫏≰10101020))⨸⪁⫏≰2222020⫥∨⫟⫏≰10011222⋳⪒(⫏≰11120002⊭↱⫏≰11011021))=NaN","reverse_text":"NaN=((≦∁⫏≰1201102)⨳⩥⨓(⫏≰11112221⫸⊐⫏≰1212220)⇼⇔∾(∥⊫⫏≰2121202⨽⫏≰100002201))↬((∥⊫(∥⊫⫏≰10101020))⨸⪁⫏≰2222020⫥∨⫟⫏≰10011222⋳⪒(⫏≰11120002⊭↱⫏≰11011021))","cot":[{"info":"≦∁⫏≰1201102=⫏≰1201102","layer":3},{"info":"⫏≰11112221⫸⊐⫏≰1212220=⫏≰21100221","layer":3},{"info":"⫏≰1201102⨳⩥⨓⫏≰21100221=⫏≰12122112","layer":2},{"info":"⫏≰2121202⨽⫏≰100002201=⫏≰-202121222020220","layer":3},{"info":"∥⊫⫏≰-202121222020220=⫏≰-2001","layer":2},{"info":"⫏≰12122112⇼⇔∾⫏≰-2001=⫏≰-12201120","layer":1},{"info":"∥⊫⫏≰10101020=⫏≰11120101","layer":3},{"info":"∥⊫⫏≰11120101=⫏≰12202112","layer":2},{"info":"⫏≰2222020⫥∨⫟⫏≰10011222=NaN","layer":3},{"info":"⫏≰11120002⊭↱⫏≰11011021=⫏≰-210110","layer":3},{"info":"NaN⋳⪒⫏≰-210110=NaN","layer":2},{"info":"⫏≰12202112⨸⪁NaN=NaN","layer":1},{"info":"⫏≰-12201120↬NaN=NaN","layer":0}]}
{"id":325,"expression_no_base_symbol":"(($2789$⨵⪆$5138$)⋥≓≎(↽≂$4650$))⩚⊴⇥($5219$↺$1951$/$9035$∲⫓$1316$)⪨≂((⫛⫱⨽$1034$)⫡⨏$1585$⨎$2402$)∲⫓($1290$⨳⩥⨓$2096$)⪘⫢($2706$⊭↱$3492$)","expression":"((⫏≰10211022⨵⪆⫏≰21001022)⋥≓≎(↽≂⫏≰20101020))⩚⊴⇥(⫏≰21011022↺⫏≰2200021/⫏≰110101122∲⫓⫏≰1210202)⪨≂((⫛⫱⨽⫏≰1102022)⫡⨏⫏≰2011201⨎⫏≰10021222)∲⫓(⫏≰1202210⨳⩥⨓⫏≰2212122)⪘⫢(⫏≰10201020⊭↱⫏≰11210100)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1477,"operation_count":15,"complexity_ratio":98.46666666666667,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2789,"base":3},"right_expr":{"type":"numeric_atoms","value":5138,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4650,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5219,"base":3},"right_expr":{"type":"numeric_atoms","value":1951,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":9035,"base":3},"right_expr":{"type":"numeric_atoms","value":1316,"base":3}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1034,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1585,"base":3},"right_expr":{"type":"numeric_atoms","value":2402,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1290,"base":3},"right_expr":{"type":"numeric_atoms","value":2096,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2706,"base":3},"right_expr":{"type":"numeric_atoms","value":3492,"base":3}}}}},"used_operators":["sdazOOVcIp","NTOWxs364D","Qy55tPpLXF","2DQ55sFlQl","u6S6b8DprG","XhwjNDsVaA","7j4O788W3g","i8ToyICDmI","QMFrweE19q","DlLNRPXxWL","rJVOvQCfKK","oacrs7FA3X","nCS4ZIUYfx","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2789","layer":4},{"info":"number node, value=5138","layer":4},{"info":"compute binary expreesion, left_input=2789, right_input=5138, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4650","layer":4},{"info":"compute unary expreesion, input=4650, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9300","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-9300, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-18727","layer":2},{"info":"number node, value=5219","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=5219, right_input=1951, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1951","layer":3},{"info":"number node, value=9035","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=9035, right_input=1316, 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=1951, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-18727, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1585","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=2402, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2402","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2402, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=5587","layer":2},{"info":"number node, value=1290","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=2096, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=806","layer":3},{"info":"number node, value=2706","layer":4},{"info":"number node, value=3492","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=3492, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1577","layer":3},{"info":"compute binary expreesion, left_input=806, right_input=1577, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1488","layer":2},{"info":"compute binary expreesion, left_input=5587, right_input=1488, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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":3,"result_base":3,"text":"((⫏≰10211022⨵⪆⫏≰21001022)⋥≓≎(↽≂⫏≰20101020))⩚⊴⇥(⫏≰21011022↺⫏≰2200021/⫏≰110101122∲⫓⫏≰1210202)⪨≂((⫛⫱⨽⫏≰1102022)⫡⨏⫏≰2011201⨎⫏≰10021222)∲⫓(⫏≰1202210⨳⩥⨓⫏≰2212122)⪘⫢(⫏≰10201020⊭↱⫏≰11210100)=NaN","reverse_text":"NaN=((⫏≰10211022⨵⪆⫏≰21001022)⋥≓≎(↽≂⫏≰20101020))⩚⊴⇥(⫏≰21011022↺⫏≰2200021/⫏≰110101122∲⫓⫏≰1210202)⪨≂((⫛⫱⨽⫏≰1102022)⫡⨏⫏≰2011201⨎⫏≰10021222)∲⫓(⫏≰1202210⨳⩥⨓⫏≰2212122)⪘⫢(⫏≰10201020⊭↱⫏≰11210100)","cot":[{"info":"⫏≰10211022⨵⪆⫏≰21001022=⫏≰12221","layer":3},{"info":"↽≂⫏≰20101020=⫏≰-110202110","layer":3},{"info":"⫏≰12221⋥≓≎⫏≰-110202110=⫏≰-221200121","layer":2},{"info":"⫏≰21011022↺⫏≰2200021=⫏≰2200021","layer":3},{"info":"⫏≰110101122∲⫓⫏≰1210202=⫏≰0","layer":3},{"info":"⫏≰2200021/⫏≰0=NaN","layer":2},{"info":"⫏≰-221200121⩚⊴⇥NaN=NaN","layer":1},{"info":"⫛⫱⨽⫏≰1102022=⫏≰0","layer":3},{"info":"⫏≰2011201⨎⫏≰10021222=⫏≰10021222","layer":3},{"info":"⫏≰0⫡⨏⫏≰10021222=⫏≰21122221","layer":2},{"info":"⫏≰1202210⨳⩥⨓⫏≰2212122=⫏≰1002212","layer":3},{"info":"⫏≰10201020⊭↱⫏≰11210100=⫏≰2011102","layer":3},{"info":"⫏≰1002212⪘⫢⫏≰2011102=⫏≰2001010","layer":2},{"info":"⫏≰21122221∲⫓⫏≰2001010=⫏≰0","layer":1},{"info":"NaN⪨≂⫏≰0=NaN","layer":0}]}
{"id":326,"expression_no_base_symbol":"((+⊝⨔$4433$)⨰($1000$⊭∹↮)⩤)∑⇟⊟(($2113$⊭↱$3676$)∼(⊙↵-$5664$)≭(($3134$⊘)⋷$3017$⨸⪁$6109$))","expression":"((+⊝⨔⫏≰20002012)⨰(⫏≰1101001⊭∹↮)⩤)∑⇟⊟((⫏≰2220021⊭↱⫏≰12001011)∼(⊙↵-⫏≰21202210)≭((⫏≰11022002⊘)⋷⫏≰11010202⨸⪁⫏≰22101021))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6527,"operation_count":12,"complexity_ratio":543.9166666666666,"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":4433,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1000,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2113,"base":3},"right_expr":{"type":"numeric_atoms","value":3676,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5664,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3134,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3017,"base":3},"right_expr":{"type":"numeric_atoms","value":6109,"base":3}}}}},"used_operators":["U7g4x0WXJJ","Z2TMIBDE3Q","eewbuw0ToL","DhbWaqg5eL","xNBdhnnwKq","rxpJgHHUmx","DyGG3AbaNP","COABgblf1C","oWn0xqSxBt","23Mk6UjR3U","gu96TGCTMs","g55IO6H4Gj"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4433","layer":4},{"info":"compute unary expreesion, input=4433, 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=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2000","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=2000, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-468","layer":2},{"info":"compute unary expreesion, input=-468, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=468","layer":1},{"info":"number node, value=2113","layer":4},{"info":"number node, value=3676","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=3676, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3131","layer":3},{"info":"number node, value=5664","layer":4},{"info":"compute unary expreesion, input=5664, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=3131, 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":2},{"info":"number node, value=3134","layer":4},{"info":"compute unary expreesion, input=3134, 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=3017","layer":4},{"info":"number node, value=6109","layer":4},{"info":"compute binary expreesion, left_input=3017, right_input=6109, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18252","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=18252, 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=0, 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=468, right_input=-22, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((+⊝⨔⫏≰20002012)⨰(⫏≰1101001⊭∹↮)⩤)∑⇟⊟((⫏≰2220021⊭↱⫏≰12001011)∼(⊙↵-⫏≰21202210)≭((⫏≰11022002⊘)⋷⫏≰11010202⨸⪁⫏≰22101021))=NaN","reverse_text":"NaN=((+⊝⨔⫏≰20002012)⨰(⫏≰1101001⊭∹↮)⩤)∑⇟⊟((⫏≰2220021⊭↱⫏≰12001011)∼(⊙↵-⫏≰21202210)≭((⫏≰11022002⊘)⋷⫏≰11010202⨸⪁⫏≰22101021))","cot":[{"info":"+⊝⨔⫏≰20002012=⫏≰2002101","layer":3},{"info":"⫏≰1101001⊭∹↮=⫏≰2202002","layer":3},{"info":"⫏≰2002101⨰⫏≰2202002=⫏≰-122100","layer":2},{"info":"⫏≰-122100⩤=⫏≰122100","layer":1},{"info":"⫏≰2220021⊭↱⫏≰12001011=⫏≰11021222","layer":3},{"info":"⊙↵-⫏≰21202210=⫏≰-1","layer":3},{"info":"⫏≰11021222∼⫏≰-1=⫏≰0","layer":2},{"info":"⫏≰11022002⊘=⫏≰0","layer":3},{"info":"⫏≰11010202⨸⪁⫏≰22101021=⫏≰221001000","layer":3},{"info":"⫏≰0⋷⫏≰221001000=⫏≰0","layer":2},{"info":"⫏≰0≭⫏≰0=⫏≰-211","layer":1},{"info":"⫏≰122100∑⇟⊟⫏≰-211=NaN","layer":0}]}
{"id":327,"expression_no_base_symbol":"⨈⫕(↔($5301$≭$1001$))⪄((≦∁$2872$)≦≮≮)","expression":"⨈⫕(↔(⫏≰21021100≭⫏≰1101002))⪄((≦∁⫏≰10221101)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":505,"operation_count":6,"complexity_ratio":84.16666666666667,"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":5301,"base":3},"right_expr":{"type":"numeric_atoms","value":1001,"base":3}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2872,"base":3}}}}},"used_operators":["megm06wKyl","SUmda5xLS4","ruOEQAzv1W","rxpJgHHUmx","D4vGDi5EA2","9ICcGScMcE"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5301","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=5301, right_input=1001, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=2872","layer":4},{"info":"compute unary expreesion, input=2872, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2872","layer":3},{"info":"compute unary expreesion, input=2872, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8616","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-8616, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":3,"result_base":3,"text":"⨈⫕(↔(⫏≰21021100≭⫏≰1101002))⪄((≦∁⫏≰10221101)≦≮≮)=⫏≰-210","reverse_text":"⫏≰-210=⨈⫕(↔(⫏≰21021100≭⫏≰1101002))⪄((≦∁⫏≰10221101)≦≮≮)","cot":[{"info":"⫏≰21021100≭⫏≰1101002=NaN","layer":3},{"info":"↔NaN=⫏≰-11222","layer":2},{"info":"≦∁⫏≰10221101=⫏≰10221101","layer":3},{"info":"⫏≰10221101≦≮≮=⫏≰-102211010","layer":2},{"info":"⫏≰-11222⪄⫏≰-102211010=⫏≰12110101","layer":1},{"info":"⨈⫕⫏≰12110101=⫏≰-210","layer":0}]}
{"id":328,"expression_no_base_symbol":"((↣≠⋷($3280$⨪↰⇹$4373$))∼($5046$⊴$4447$↪⪝))≹⇙⪍(($1723$≦≮≮)↬($3347$⋥≓≎$1146$)⪄($2838$∲⫓$7480$⪨≂($6516$≋⫹)))","expression":"((↣≠⋷(⫏≰11111111⨪↰⇹⫏≰12222222))∼(⫏≰20220220⊴⫏≰20002201↪⪝))≹⇙⪍((⫏≰2100211≦≮≮)↬(⫏≰11120222⋥≓≎⫏≰1120110)⪄(⫏≰10220010∲⫓⫏≰101021001⪨≂(⫏≰22221100≋⫹)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8846,"operation_count":13,"complexity_ratio":680.4615384615385,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3280,"base":3},"right_expr":{"type":"numeric_atoms","value":4373,"base":3}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5046,"base":3},"right_expr":{"type":"numeric_atoms","value":4447,"base":3}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1723,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3347,"base":3},"right_expr":{"type":"numeric_atoms","value":1146,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2838,"base":3},"right_expr":{"type":"numeric_atoms","value":7480,"base":3}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6516,"base":3}}}}},"used_operators":["AHs5Up7iyr","DyGG3AbaNP","Asc51vEJeQ","tmPS8pqC7x","l07mrZUIn9","Nsiff2A1zJ","SUmda5xLS4","B5M0gjZbta","D4vGDi5EA2","Qy55tPpLXF","sdazOOVcIp","i8ToyICDmI","N41Kp7NANJ"],"dependent_operators":["dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","rJVOvQCfKK","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","14qkJME0vr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3280","layer":4},{"info":"number node, value=4373","layer":4},{"info":"compute binary expreesion, left_input=3280, right_input=4373, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3280","layer":3},{"info":"compute unary expreesion, input=3280, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=5046","layer":4},{"info":"number node, value=4447","layer":4},{"info":"compute binary expreesion, left_input=5046, right_input=4447, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5169","layer":3},{"info":"number node, value=3347","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=3347, right_input=1146, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1022","layer":3},{"info":"compute binary expreesion, left_input=-5169, right_input=-1022, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2838","layer":4},{"info":"number node, value=7480","layer":4},{"info":"compute binary expreesion, left_input=2838, right_input=7480, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6516","layer":4},{"info":"compute unary expreesion, input=6516, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-13032","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-13032, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=26166","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=26166, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"((↣≠⋷(⫏≰11111111⨪↰⇹⫏≰12222222))∼(⫏≰20220220⊴⫏≰20002201↪⪝))≹⇙⪍((⫏≰2100211≦≮≮)↬(⫏≰11120222⋥≓≎⫏≰1120110)⪄(⫏≰10220010∲⫓⫏≰101021001⪨≂(⫏≰22221100≋⫹)))=NaN","reverse_text":"NaN=((↣≠⋷(⫏≰11111111⨪↰⇹⫏≰12222222))∼(⫏≰20220220⊴⫏≰20002201↪⪝))≹⇙⪍((⫏≰2100211≦≮≮)↬(⫏≰11120222⋥≓≎⫏≰1120110)⪄(⫏≰10220010∲⫓⫏≰101021001⪨≂(⫏≰22221100≋⫹)))","cot":[{"info":"⫏≰11111111⨪↰⇹⫏≰12222222=⫏≰11111111","layer":3},{"info":"↣≠⋷⫏≰11111111=NaN","layer":2},{"info":"⫏≰20220220⊴⫏≰20002201=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"⫏≰2100211≦≮≮=⫏≰-21002110","layer":3},{"info":"⫏≰11120222⋥≓≎⫏≰1120110=⫏≰-1101212","layer":3},{"info":"⫏≰-21002110↬⫏≰-1101212=NaN","layer":2},{"info":"⫏≰10220010∲⫓⫏≰101021001=⫏≰0","layer":3},{"info":"⫏≰22221100≋⫹=⫏≰-122212200","layer":3},{"info":"⫏≰0⪨≂⫏≰-122212200=⫏≰1022220010","layer":2},{"info":"NaN⪄⫏≰1022220010=⫏≰12110101","layer":1},{"info":"NaN≹⇙⪍⫏≰12110101=NaN","layer":0}]}
{"id":329,"expression_no_base_symbol":"(($3319$⪒$5923$)⋝⋈⪟($3244$↙$1724$)-($1793$⫥∨⫟$2067$⪠⩆⊳))⫥∨⫟($1957$≧⫂∧$9673$⨽$1772$⨐⩸⫘$1614$⨸⪁($8713$↬$4667$⊭↱(⫛⫱⨽$3550$)))","expression":"((⫏≰11112221⪒⫏≰22010101)⋝⋈⪟(⫏≰11110011↙⫏≰2100212)-(⫏≰2110102⫥∨⫟⫏≰2211120⪠⩆⊳))⫥∨⫟(⫏≰2200111≧⫂∧⫏≰111021021⨽⫏≰2102122⨐⩸⫘⫏≰2012210⨸⪁(⫏≰102221201↬⫏≰20101212⊭↱(⫛⫱⨽⫏≰11212111)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12691,"operation_count":14,"complexity_ratio":906.5,"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":3319,"base":3},"right_expr":{"type":"numeric_atoms","value":5923,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3244,"base":3},"right_expr":{"type":"numeric_atoms","value":1724,"base":3}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1793,"base":3},"right_expr":{"type":"numeric_atoms","value":2067,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1957,"base":3},"right_expr":{"type":"numeric_atoms","value":9673,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1772,"base":3},"right_expr":{"type":"numeric_atoms","value":1614,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8713,"base":3},"right_expr":{"type":"numeric_atoms","value":4667,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3550,"base":3}}}}},"used_operators":["KYD54nUTWz","rysDP5nf3Z","2DDjHMKMc0","f6k1SAg4EE","yyfyN0ffXY","JLbD19bQDL","g55IO6H4Gj","8HhzD0ZcuI","Ph9nP6C5qx","fu6greOZ01","COABgblf1C","B5M0gjZbta","DlLNRPXxWL"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3319","layer":4},{"info":"number node, value=5923","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=5923, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9242","layer":3},{"info":"number node, value=3244","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=1724, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5172","layer":3},{"info":"compute binary expreesion, left_input=-9242, right_input=-5172, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-9242","layer":2},{"info":"number node, value=1793","layer":4},{"info":"number node, value=2067","layer":4},{"info":"compute binary expreesion, left_input=1793, right_input=2067, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9242, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1957","layer":4},{"info":"number node, value=9673","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=9673, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=9200","layer":3},{"info":"number node, value=1772","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=1614, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=9200, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=8713","layer":4},{"info":"number node, value=4667","layer":4},{"info":"compute binary expreesion, left_input=8713, right_input=4667, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3550","layer":4},{"info":"compute unary expreesion, input=3550, 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 = 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 = 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11112221⪒⫏≰22010101)⋝⋈⪟(⫏≰11110011↙⫏≰2100212)-(⫏≰2110102⫥∨⫟⫏≰2211120⪠⩆⊳))⫥∨⫟(⫏≰2200111≧⫂∧⫏≰111021021⨽⫏≰2102122⨐⩸⫘⫏≰2012210⨸⪁(⫏≰102221201↬⫏≰20101212⊭↱(⫛⫱⨽⫏≰11212111)))=NaN","reverse_text":"NaN=((⫏≰11112221⪒⫏≰22010101)⋝⋈⪟(⫏≰11110011↙⫏≰2100212)-(⫏≰2110102⫥∨⫟⫏≰2211120⪠⩆⊳))⫥∨⫟(⫏≰2200111≧⫂∧⫏≰111021021⨽⫏≰2102122⨐⩸⫘⫏≰2012210⨸⪁(⫏≰102221201↬⫏≰20101212⊭↱(⫛⫱⨽⫏≰11212111)))","cot":[{"info":"⫏≰11112221⪒⫏≰22010101=⫏≰-110200022","layer":3},{"info":"⫏≰11110011↙⫏≰2100212=⫏≰-21002120","layer":3},{"info":"⫏≰-110200022⋝⋈⪟⫏≰-21002120=⫏≰-110200022","layer":2},{"info":"⫏≰2110102⫥∨⫟⫏≰2211120=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"⫏≰-110200022-NaN=NaN","layer":1},{"info":"⫏≰2200111≧⫂∧⫏≰111021021=⫏≰110121202","layer":3},{"info":"⫏≰2102122⨐⩸⫘⫏≰2012210=NaN","layer":3},{"info":"⫏≰110121202⨽NaN=NaN","layer":2},{"info":"⫏≰102221201↬⫏≰20101212=NaN","layer":3},{"info":"⫛⫱⨽⫏≰11212111=⫏≰0","layer":3},{"info":"NaN⊭↱⫏≰0=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":330,"expression_no_base_symbol":"((≤/(≉$3777$))⊭↱$7010$⋝⋈⪟$1812$≎⊠⪸($1622$⊘))⨟⋌⩍($1103$⇷$2653$+⇶⊼($1213$↙$3660$)⩤)","expression":"((≤/(≉⫏≰12011220))⊭↱⫏≰100121122⋝⋈⪟⫏≰2111010≎⊠⪸(⫏≰2020002⊘))⨟⋌⩍(⫏≰1111212⇷⫏≰10122021+⇶⊼(⫏≰1122221↙⫏≰12000120)⩤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19415,"operation_count":11,"complexity_ratio":1765.0,"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":3777,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7010,"base":3},"right_expr":{"type":"numeric_atoms","value":1812,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1622,"base":3}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1103,"base":3},"right_expr":{"type":"numeric_atoms","value":2653,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1213,"base":3},"right_expr":{"type":"numeric_atoms","value":3660,"base":3}}}}},"used_operators":["rGHVDoGpnC","COABgblf1C","eLAdDNolq6","e1ybzncUwg","bJkvcejdHO","2DDjHMKMc0","gu96TGCTMs","Z2TMIBDE3Q","TpPTUOHfaN","mp7IySMOzn","yyfyN0ffXY"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3777","layer":4},{"info":"compute unary expreesion, input=3777, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4308","layer":3},{"info":"compute unary expreesion, input=4308, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3824","layer":2},{"info":"number node, value=7010","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=7010, right_input=1812, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7010","layer":3},{"info":"number node, value=1622","layer":4},{"info":"compute unary expreesion, input=1622, 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=7010, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1815117","layer":2},{"info":"compute binary expreesion, left_input=-3824, right_input=1815117, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3637887","layer":1},{"info":"number node, value=1103","layer":4},{"info":"number node, value=2653","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=2653, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5306","layer":3},{"info":"number node, value=1213","layer":4},{"info":"number node, value=3660","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=3660, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10980","layer":3},{"info":"compute binary expreesion, left_input=5306, right_input=-10980, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3637887, 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":3,"result_base":3,"text":"((≤/(≉⫏≰12011220))⊭↱⫏≰100121122⋝⋈⪟⫏≰2111010≎⊠⪸(⫏≰2020002⊘))⨟⋌⩍(⫏≰1111212⇷⫏≰10122021+⇶⊼(⫏≰1122221↙⫏≰12000120)⩤)=NaN","reverse_text":"NaN=((≤/(≉⫏≰12011220))⊭↱⫏≰100121122⋝⋈⪟⫏≰2111010≎⊠⪸(⫏≰2020002⊘))⨟⋌⩍(⫏≰1111212⇷⫏≰10122021+⇶⊼(⫏≰1122221↙⫏≰12000120)⩤)","cot":[{"info":"≉⫏≰12011220=⫏≰12220120","layer":3},{"info":"≤/⫏≰12220120=⫏≰-12020122","layer":2},{"info":"⫏≰100121122⋝⋈⪟⫏≰2111010=⫏≰100121122","layer":3},{"info":"⫏≰2020002⊘=⫏≰0","layer":3},{"info":"⫏≰100121122≎⊠⪸⫏≰0=⫏≰10102012212120","layer":2},{"info":"⫏≰-12020122⊭↱⫏≰10102012212120=⫏≰20211211020120","layer":1},{"info":"⫏≰1111212⇷⫏≰10122021=⫏≰21021112","layer":3},{"info":"⫏≰1122221↙⫏≰12000120=⫏≰-120001200","layer":3},{"info":"⫏≰21021112+⇶⊼⫏≰-120001200=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"⫏≰20211211020120⨟⋌⩍NaN=NaN","layer":0}]}
{"id":331,"expression_no_base_symbol":"(($3574$⋝⋈⪟$2861$⫡⨏(⊥$1982$))⪠⩆⊳)*(($2077$-$4598$⨵⪆($3639$⨵⪆$2412$))⩨($1598$⇋≉)⪢($2224$⩨$1535$))","expression":"((⫏≰11220101⋝⋈⪟⫏≰10220222⫡⨏(⊥⫏≰2201102))⪠⩆⊳)*((⫏≰2211221-⫏≰20022022⨵⪆(⫏≰11222210⨵⪆⫏≰10022100))⩨(⫏≰2012012⇋≉)⪢(⫏≰10001101⩨⫏≰2002212))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":33,"operation_count":12,"complexity_ratio":2.75,"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":3574,"base":3},"right_expr":{"type":"numeric_atoms","value":2861,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1982,"base":3}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2077,"base":3},"right_expr":{"type":"numeric_atoms","value":4598,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3639,"base":3},"right_expr":{"type":"numeric_atoms","value":2412,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1598,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2224,"base":3},"right_expr":{"type":"numeric_atoms","value":1535,"base":3}}}}},"used_operators":["9HNa5Wba9A","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","Q3PJZHRvZv","2DlMacCsIx","2DQ55sFlQl","rysDP5nf3Z","dWAJyo7jo9","XIabStNQrY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3574","layer":4},{"info":"number node, value=2861","layer":4},{"info":"compute binary expreesion, left_input=3574, right_input=2861, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3574","layer":3},{"info":"number node, value=1982","layer":4},{"info":"compute unary expreesion, input=1982, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3574, 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 = 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=2077","layer":4},{"info":"number node, value=4598","layer":4},{"info":"compute binary expreesion, left_input=2077, right_input=4598, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2521","layer":3},{"info":"number node, value=3639","layer":4},{"info":"number node, value=2412","layer":4},{"info":"compute binary expreesion, left_input=3639, right_input=2412, 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=-2521, right_input=160, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1598","layer":4},{"info":"compute unary expreesion, input=1598, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3098","layer":3},{"info":"number node, value=2224","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=1535, 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=3098, 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=160, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11220101⋝⋈⪟⫏≰10220222⫡⨏(⊥⫏≰2201102))⪠⩆⊳)*((⫏≰2211221-⫏≰20022022⨵⪆(⫏≰11222210⨵⪆⫏≰10022100))⩨(⫏≰2012012⇋≉)⪢(⫏≰10001101⩨⫏≰2002212))=NaN","reverse_text":"NaN=((⫏≰11220101⋝⋈⪟⫏≰10220222⫡⨏(⊥⫏≰2201102))⪠⩆⊳)*((⫏≰2211221-⫏≰20022022⨵⪆(⫏≰11222210⨵⪆⫏≰10022100))⩨(⫏≰2012012⇋≉)⪢(⫏≰10001101⩨⫏≰2002212))","cot":[{"info":"⫏≰11220101⋝⋈⪟⫏≰10220222=⫏≰11220101","layer":3},{"info":"⊥⫏≰2201102=NaN","layer":3},{"info":"⫏≰11220101⫡⨏NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⫏≰2211221-⫏≰20022022=⫏≰-10110101","layer":3},{"info":"⫏≰11222210⨵⪆⫏≰10022100=⫏≰12221","layer":3},{"info":"⫏≰-10110101⨵⪆⫏≰12221=⫏≰12221","layer":2},{"info":"⫏≰2012012⇋≉=⫏≰11020202","layer":3},{"info":"⫏≰10001101⩨⫏≰2002212=⫏≰0","layer":3},{"info":"⫏≰11020202⪢⫏≰0=⫏≰0","layer":2},{"info":"⫏≰12221⩨⫏≰0=⫏≰0","layer":1},{"info":"NaN*⫏≰0=NaN","layer":0}]}
{"id":332,"expression_no_base_symbol":"⫓⪴(⫛⫱⨽(($3192$⫸⊐$6726$)⫸⊐$3296$↙$6342$))","expression":"⫓⪴(⫛⫱⨽((⫏≰11101020⫸⊐⫏≰100020010)⫸⊐⫏≰11112002↙⫏≰22200220))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7814,"operation_count":5,"complexity_ratio":1562.8,"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":3192,"base":3},"right_expr":{"type":"numeric_atoms","value":6726,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3296,"base":3},"right_expr":{"type":"numeric_atoms","value":6342,"base":3}}}}},"used_operators":["eLxqMNBOBk","DlLNRPXxWL","mqXw5SEYmG","yyfyN0ffXY"],"dependent_operators":["9HNa5Wba9A","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3192","layer":4},{"info":"number node, value=6726","layer":4},{"info":"compute binary expreesion, left_input=3192, right_input=6726, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=26779","layer":3},{"info":"number node, value=3296","layer":4},{"info":"number node, value=6342","layer":4},{"info":"compute binary expreesion, left_input=3296, right_input=6342, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19026","layer":3},{"info":"compute binary expreesion, left_input=26779, right_input=-19026, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-38181","layer":2},{"info":"compute unary expreesion, input=-38181, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⫓⪴(⫛⫱⨽((⫏≰11101020⫸⊐⫏≰100020010)⫸⊐⫏≰11112002↙⫏≰22200220))=⫏≰0","reverse_text":"⫏≰0=⫓⪴(⫛⫱⨽((⫏≰11101020⫸⊐⫏≰100020010)⫸⊐⫏≰11112002↙⫏≰22200220))","cot":[{"info":"⫏≰11101020⫸⊐⫏≰100020010=⫏≰1100201211","layer":3},{"info":"⫏≰11112002↙⫏≰22200220=⫏≰-222002200","layer":3},{"info":"⫏≰1100201211⫸⊐⫏≰-222002200=⫏≰-1221101010","layer":2},{"info":"⫛⫱⨽⫏≰-1221101010=⫏≰0","layer":1},{"info":"⫓⪴⫏≰0=⫏≰0","layer":0}]}
{"id":333,"expression_no_base_symbol":"($5344$↺$3089$)⫥∨⫟($1256$⨎$1139$)⇼⇔∾(+⊝⨔($3290$⨎$1547$))/((↯⪼($1722$⋫))⫡⨏$6909$⪮%⊝$1000$↺$1668$∼$7437$)","expression":"(⫏≰21022221↺⫏≰11020102)⫥∨⫟(⫏≰1201112⨎⫏≰1120012)⇼⇔∾(+⊝⨔(⫏≰11111212⨎⫏≰2010022))/((↯⪼(⫏≰2100210⋫))⫡⨏⫏≰100110220⪮%⊝⫏≰1101001↺⫏≰2021210∼⫏≰101012110)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2006,"operation_count":13,"complexity_ratio":154.30769230769232,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5344,"base":3},"right_expr":{"type":"numeric_atoms","value":3089,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1256,"base":3},"right_expr":{"type":"numeric_atoms","value":1139,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3290,"base":3},"right_expr":{"type":"numeric_atoms","value":1547,"base":3}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1722,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6909,"base":3},"right_expr":{"type":"numeric_atoms","value":1000,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1668,"base":3},"right_expr":{"type":"numeric_atoms","value":7437,"base":3}}}}},"used_operators":["XhwjNDsVaA","tifHPKVTfV","KYD54nUTWz","7j4O788W3g","rJVOvQCfKK","DhbWaqg5eL","QMFrweE19q","8jW3W4yZS5","JL8yIekQnl","IWmyXbctLI","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=5344","layer":4},{"info":"number node, value=3089","layer":4},{"info":"compute binary expreesion, left_input=5344, right_input=3089, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3089","layer":3},{"info":"number node, value=1256","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=1256, 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":"compute binary expreesion, left_input=3089, right_input=1139, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3290","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=1547, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1547","layer":3},{"info":"compute unary expreesion, input=1547, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1722","layer":4},{"info":"compute unary expreesion, input=1722, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1722","layer":3},{"info":"compute unary expreesion, input=1722, 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=6909","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=6909, right_input=1000, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14134","layer":3},{"info":"number node, value=1668","layer":4},{"info":"number node, value=7437","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=7437, 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=14134, 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=-21, 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=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21022221↺⫏≰11020102)⫥∨⫟(⫏≰1201112⨎⫏≰1120012)⇼⇔∾(+⊝⨔(⫏≰11111212⨎⫏≰2010022))/((↯⪼(⫏≰2100210⋫))⫡⨏⫏≰100110220⪮%⊝⫏≰1101001↺⫏≰2021210∼⫏≰101012110)=NaN","reverse_text":"NaN=(⫏≰21022221↺⫏≰11020102)⫥∨⫟(⫏≰1201112⨎⫏≰1120012)⇼⇔∾(+⊝⨔(⫏≰11111212⨎⫏≰2010022))/((↯⪼(⫏≰2100210⋫))⫡⨏⫏≰100110220⪮%⊝⫏≰1101001↺⫏≰2021210∼⫏≰101012110)","cot":[{"info":"⫏≰21022221↺⫏≰11020102=⫏≰11020102","layer":3},{"info":"⫏≰1201112⨎⫏≰1120012=⫏≰1120012","layer":3},{"info":"⫏≰11020102⫥∨⫟⫏≰1120012=NaN","layer":2},{"info":"⫏≰11111212⨎⫏≰2010022=⫏≰2010022","layer":3},{"info":"+⊝⨔⫏≰2010022=⫏≰2002101","layer":2},{"info":"NaN⇼⇔∾⫏≰2002101=NaN","layer":1},{"info":"⫏≰2100210⋫=⫏≰2100210","layer":3},{"info":"↯⪼⫏≰2100210=⫏≰-210","layer":2},{"info":"⫏≰100110220⪮%⊝⫏≰1101001=⫏≰201101111","layer":3},{"info":"⫏≰2021210∼⫏≰101012110=NaN","layer":3},{"info":"⫏≰201101111↺NaN=NaN","layer":2},{"info":"⫏≰-210⫡⨏NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":334,"expression_no_base_symbol":"(≤/($1853$⫡⨏$1798$))⩨($2024$+⇶⊼$1034$/$5751$⨎$3958$)∲⫓(↔($3065$⨽$4099$⪄$3653$⪄$2251$))","expression":"(≤/(⫏≰2112122⫡⨏⫏≰2110121))⩨(⫏≰2202222+⇶⊼⫏≰1102022/⫏≰21220000⨎⫏≰12102121)∲⫓(↔(⫏≰11012112⨽⫏≰12121211⪄⫏≰12000022⪄⫏≰10002101))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3284,"operation_count":11,"complexity_ratio":298.54545454545456,"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":1853,"base":3},"right_expr":{"type":"numeric_atoms","value":1798,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2024,"base":3},"right_expr":{"type":"numeric_atoms","value":1034,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5751,"base":3},"right_expr":{"type":"numeric_atoms","value":3958,"base":3}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3065,"base":3},"right_expr":{"type":"numeric_atoms","value":4099,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3653,"base":3},"right_expr":{"type":"numeric_atoms","value":2251,"base":3}}}}},"used_operators":["i8ToyICDmI","2DlMacCsIx","eLAdDNolq6","QMFrweE19q","XhwjNDsVaA","TpPTUOHfaN","rJVOvQCfKK","ruOEQAzv1W","SUmda5xLS4","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1853","layer":4},{"info":"number node, value=1798","layer":4},{"info":"compute binary expreesion, left_input=1853, right_input=1798, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13644","layer":3},{"info":"compute unary expreesion, input=13644, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-13160","layer":2},{"info":"number node, value=2024","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=1034, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5751","layer":4},{"info":"number node, value=3958","layer":4},{"info":"compute binary expreesion, left_input=5751, right_input=3958, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3958","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3958, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13160, 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=3065","layer":4},{"info":"number node, value=4099","layer":4},{"info":"compute binary expreesion, left_input=3065, right_input=4099, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-28193658","layer":3},{"info":"number node, value=3653","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=2251, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-545737","layer":3},{"info":"compute binary expreesion, left_input=-28193658, right_input=-545737, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3706","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3706, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≤/(⫏≰2112122⫡⨏⫏≰2110121))⩨(⫏≰2202222+⇶⊼⫏≰1102022/⫏≰21220000⨎⫏≰12102121)∲⫓(↔(⫏≰11012112⨽⫏≰12121211⪄⫏≰12000022⪄⫏≰10002101))=NaN","reverse_text":"NaN=(≤/(⫏≰2112122⫡⨏⫏≰2110121))⩨(⫏≰2202222+⇶⊼⫏≰1102022/⫏≰21220000⨎⫏≰12102121)∲⫓(↔(⫏≰11012112⨽⫏≰12121211⪄⫏≰12000022⪄⫏≰10002101))","cot":[{"info":"⫏≰2112122⫡⨏⫏≰2110121=⫏≰200201100","layer":3},{"info":"≤/⫏≰200201100=⫏≰-200001102","layer":2},{"info":"⫏≰2202222+⇶⊼⫏≰1102022=NaN","layer":3},{"info":"⫏≰21220000⨎⫏≰12102121=⫏≰12102121","layer":3},{"info":"NaN/⫏≰12102121=NaN","layer":2},{"info":"⫏≰-200001102⩨NaN=NaN","layer":1},{"info":"⫏≰11012112⨽⫏≰12121211=⫏≰-1222001101102120","layer":3},{"info":"⫏≰12000022⪄⫏≰10002101=⫏≰-1000201121111","layer":3},{"info":"⫏≰-1222001101102120⪄⫏≰-1000201121111=⫏≰12110101","layer":2},{"info":"↔⫏≰12110101=⫏≰-12002021","layer":1},{"info":"NaN∲⫓⫏≰-12002021=NaN","layer":0}]}
{"id":335,"expression_no_base_symbol":"(($1551$+$3549$)⊭↱($1086$+$2295$)*($4851$⪨≂$4638$)⫸⊐($3398$⇼⇔∾$3474$))⋥≓≎(↣≠⋷$2098$)⪛(↔$1661$)∼(($5538$⊭↱$3941$)⨽$7848$⨽$1165$)","expression":"((⫏≰2010110+⫏≰11212110)⊭↱(⫏≰1111020+⫏≰10011000)*(⫏≰20122200⪨≂⫏≰20100210)⫸⊐(⫏≰11122212⇼⇔∾⫏≰11202200))⋥≓≎(↣≠⋷⫏≰2212201)⪛(↔⫏≰2021112)∼((⫏≰21121010⊭↱⫏≰12101222)⨽⫏≰101202200⨽⫏≰1121011)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11298,"operation_count":15,"complexity_ratio":753.2,"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":1551,"base":3},"right_expr":{"type":"numeric_atoms","value":3549,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1086,"base":3},"right_expr":{"type":"numeric_atoms","value":2295,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4851,"base":3},"right_expr":{"type":"numeric_atoms","value":4638,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3398,"base":3},"right_expr":{"type":"numeric_atoms","value":3474,"base":3}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2098,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1661,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5538,"base":3},"right_expr":{"type":"numeric_atoms","value":3941,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7848,"base":3},"right_expr":{"type":"numeric_atoms","value":1165,"base":3}}}}},"used_operators":["Qy55tPpLXF","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","mqXw5SEYmG","sdazOOVcIp","tifHPKVTfV","DyGG3AbaNP","uFcxV4UQCh","Asc51vEJeQ","ruOEQAzv1W","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1551","layer":4},{"info":"number node, value=3549","layer":4},{"info":"compute binary expreesion, left_input=1551, right_input=3549, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5100","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=2295","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=2295, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3381","layer":3},{"info":"compute binary expreesion, left_input=5100, right_input=3381, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3433","layer":2},{"info":"number node, value=4851","layer":4},{"info":"number node, value=4638","layer":4},{"info":"compute binary expreesion, left_input=4851, right_input=4638, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=528","layer":3},{"info":"number node, value=3398","layer":4},{"info":"number node, value=3474","layer":4},{"info":"compute binary expreesion, left_input=3398, right_input=3474, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=76","layer":3},{"info":"compute binary expreesion, left_input=528, right_input=76, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=179","layer":2},{"info":"compute binary expreesion, left_input=-3433, right_input=179, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-614507","layer":1},{"info":"number node, value=2098","layer":4},{"info":"compute unary expreesion, input=2098, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1661","layer":4},{"info":"compute unary expreesion, input=1661, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1388","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1388, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=5538","layer":4},{"info":"number node, value=3941","layer":4},{"info":"compute binary expreesion, left_input=5538, right_input=3941, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3189","layer":3},{"info":"number node, value=7848","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=7848, right_input=1165, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-184775493","layer":3},{"info":"compute binary expreesion, left_input=-3189, right_input=-184775493, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=523818630","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=523818630, 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=-614507, 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":3,"result_base":3,"text":"((⫏≰2010110+⫏≰11212110)⊭↱(⫏≰1111020+⫏≰10011000)*(⫏≰20122200⪨≂⫏≰20100210)⫸⊐(⫏≰11122212⇼⇔∾⫏≰11202200))⋥≓≎(↣≠⋷⫏≰2212201)⪛(↔⫏≰2021112)∼((⫏≰21121010⊭↱⫏≰12101222)⨽⫏≰101202200⨽⫏≰1121011)=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰2010110+⫏≰11212110)⊭↱(⫏≰1111020+⫏≰10011000)*(⫏≰20122200⪨≂⫏≰20100210)⫸⊐(⫏≰11122212⇼⇔∾⫏≰11202200))⋥≓≎(↣≠⋷⫏≰2212201)⪛(↔⫏≰2021112)∼((⫏≰21121010⊭↱⫏≰12101222)⨽⫏≰101202200⨽⫏≰1121011)","cot":[{"info":"⫏≰2010110+⫏≰11212110=⫏≰20222220","layer":3},{"info":"⫏≰1111020+⫏≰10011000=⫏≰11122020","layer":3},{"info":"⫏≰20222220⊭↱⫏≰11122020=⫏≰-11201011","layer":2},{"info":"⫏≰20122200⪨≂⫏≰20100210=⫏≰201120","layer":3},{"info":"⫏≰11122212⇼⇔∾⫏≰11202200=⫏≰2211","layer":3},{"info":"⫏≰201120⫸⊐⫏≰2211=⫏≰20122","layer":2},{"info":"⫏≰-11201011*⫏≰20122=⫏≰-1011012221112","layer":1},{"info":"↣≠⋷⫏≰2212201=NaN","layer":3},{"info":"↔⫏≰2021112=⫏≰-1220102","layer":3},{"info":"NaN⪛⫏≰-1220102=NaN","layer":2},{"info":"⫏≰21121010⊭↱⫏≰12101222=⫏≰-11101010","layer":3},{"info":"⫏≰101202200⨽⫏≰1121011=⫏≰-110212200120022210","layer":3},{"info":"⫏≰-11101010⨽⫏≰-110212200120022210=⫏≰1100111122202002000","layer":2},{"info":"NaN∼⫏≰1100111122202002000=NaN","layer":1},{"info":"⫏≰-1011012221112⋥≓≎NaN=⫏≰2111","layer":0}]}
{"id":336,"expression_no_base_symbol":"($1214$⩠)⨽$1898$⨓$2331$⇼⇔∾($1974$⫸⊐$2366$)⋳⪒(⩦⩻⨪$5031$)+(($7289$⊉≛↸$4373$)⋫)⪒($1184$+$1172$)⋝⋈⪟($7338$≫≃)","expression":"(⫏≰1122222⩠)⨽⫏≰2121022⨓⫏≰10012100⇼⇔∾(⫏≰2201010⫸⊐⫏≰10020122)⋳⪒(⩦⩻⨪⫏≰20220100)+((⫏≰100222222⊉≛↸⫏≰12222222)⋫)⪒(⫏≰1121212+⫏≰1121102)⋝⋈⪟(⫏≰101001210≫≃)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16996,"operation_count":14,"complexity_ratio":1214.0,"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":1214,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1898,"base":3},"right_expr":{"type":"numeric_atoms","value":2331,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1974,"base":3},"right_expr":{"type":"numeric_atoms","value":2366,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5031,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7289,"base":3},"right_expr":{"type":"numeric_atoms","value":4373,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1184,"base":3},"right_expr":{"type":"numeric_atoms","value":1172,"base":3}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":7338,"base":3}}}}},"used_operators":["W4YGzv6Whe","tifHPKVTfV","8HhzD0ZcuI","sJAwomhLZr","3ViojmjbAp","12rbrZMWeM","mqXw5SEYmG","2td37pGCOC","f6k1SAg4EE","JL8yIekQnl","DZ8iAZOCBD","2DDjHMKMc0","X99M06cbEe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⫏≰-121022101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1214","layer":4},{"info":"compute unary expreesion, input=1214, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1898","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=2331, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2334","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2334, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=8316","layer":2},{"info":"number node, value=1974","layer":4},{"info":"number node, value=2366","layer":4},{"info":"compute binary expreesion, left_input=1974, right_input=2366, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9339","layer":3},{"info":"number node, value=5031","layer":4},{"info":"compute unary expreesion, input=5031, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5031","layer":3},{"info":"compute binary expreesion, left_input=9339, right_input=5031, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13360","layer":2},{"info":"compute binary expreesion, left_input=8316, right_input=13360, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5044","layer":1},{"info":"number node, value=7289","layer":4},{"info":"number node, value=4373","layer":4},{"info":"compute binary expreesion, left_input=7289, right_input=4373, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14578","layer":3},{"info":"compute unary expreesion, input=14578, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=14578","layer":2},{"info":"number node, value=1184","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=1172, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2356","layer":3},{"info":"number node, value=7338","layer":4},{"info":"compute unary expreesion, input=7338, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=16077","layer":3},{"info":"compute binary expreesion, left_input=2356, right_input=16077, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2356","layer":2},{"info":"compute binary expreesion, left_input=14578, right_input=2356, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-16934","layer":1},{"info":"compute binary expreesion, left_input=5044, right_input=-16934, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-11890","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1122222⩠)⨽⫏≰2121022⨓⫏≰10012100⇼⇔∾(⫏≰2201010⫸⊐⫏≰10020122)⋳⪒(⩦⩻⨪⫏≰20220100)+((⫏≰100222222⊉≛↸⫏≰12222222)⋫)⪒(⫏≰1121212+⫏≰1121102)⋝⋈⪟(⫏≰101001210≫≃)=⫏≰-121022101","reverse_text":"⫏≰-121022101=(⫏≰1122222⩠)⨽⫏≰2121022⨓⫏≰10012100⇼⇔∾(⫏≰2201010⫸⊐⫏≰10020122)⋳⪒(⩦⩻⨪⫏≰20220100)+((⫏≰100222222⊉≛↸⫏≰12222222)⋫)⪒(⫏≰1121212+⫏≰1121102)⋝⋈⪟(⫏≰101001210≫≃)","cot":[{"info":"⫏≰1122222⩠=⫏≰0","layer":3},{"info":"⫏≰2121022⨓⫏≰10012100=⫏≰-10012110","layer":3},{"info":"⫏≰0⨽⫏≰-10012110=⫏≰102102000","layer":2},{"info":"⫏≰2201010⫸⊐⫏≰10020122=⫏≰110210220","layer":3},{"info":"⩦⩻⨪⫏≰20220100=⫏≰20220100","layer":3},{"info":"⫏≰110210220⋳⪒⫏≰20220100=⫏≰200022211","layer":2},{"info":"⫏≰102102000⇼⇔∾⫏≰200022211=⫏≰20220211","layer":1},{"info":"⫏≰100222222⊉≛↸⫏≰12222222=⫏≰201222221","layer":3},{"info":"⫏≰201222221⋫=⫏≰201222221","layer":2},{"info":"⫏≰1121212+⫏≰1121102=⫏≰10020021","layer":3},{"info":"⫏≰101001210≫≃=⫏≰211001110","layer":3},{"info":"⫏≰10020021⋝⋈⪟⫏≰211001110=⫏≰10020021","layer":2},{"info":"⫏≰201222221⪒⫏≰10020021=⫏≰-212020012","layer":1},{"info":"⫏≰20220211+⫏≰-212020012=⫏≰-121022101","layer":0}]}
{"id":337,"expression_no_base_symbol":"((↩(⪲⇎$1303$))/($1654$⨓$9390$/(⊄⩳↩$1673$)))⪮%⊝((($4857$⨵⪆$2366$)⫸⊐($4252$⩠))⋝⋈⪟(($4761$+$3775$)∲⫓(⫛⫱⨽$2778$)))","expression":"((↩(⪲⇎⫏≰1210021))/(⫏≰2021021⨓⫏≰110212210/(⊄⩳↩⫏≰2021222)))⪮%⊝(((⫏≰20122220⨵⪆⫏≰10020122)⫸⊐(⫏≰12211111⩠))⋝⋈⪟((⫏≰20112100+⫏≰12011211)∲⫓(⫛⫱⨽⫏≰10210220)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":28945,"operation_count":14,"complexity_ratio":2067.5,"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":1303,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1654,"base":3},"right_expr":{"type":"numeric_atoms","value":9390,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1673,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4857,"base":3},"right_expr":{"type":"numeric_atoms","value":2366,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4252,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4761,"base":3},"right_expr":{"type":"numeric_atoms","value":3775,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2778,"base":3}}}}},"used_operators":["IWmyXbctLI","XhwjNDsVaA","jLgFTUHLKL","XPYlsWDdGa","3ViojmjbAp","8w2t5hMYqp","2DDjHMKMc0","mqXw5SEYmG","2DQ55sFlQl","sJAwomhLZr","i8ToyICDmI","W4YGzv6Whe","DlLNRPXxWL"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⫏≰-1211010200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1303","layer":4},{"info":"compute unary expreesion, input=1303, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2606","layer":3},{"info":"compute unary expreesion, input=2606, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-18068","layer":2},{"info":"number node, value=1654","layer":4},{"info":"number node, value=9390","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=9390, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9393","layer":3},{"info":"number node, value=1673","layer":4},{"info":"compute unary expreesion, input=1673, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5019","layer":3},{"info":"compute binary expreesion, left_input=-9393, right_input=-5019, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"compute binary expreesion, left_input=-18068, right_input=1, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-18068","layer":1},{"info":"number node, value=4857","layer":4},{"info":"number node, value=2366","layer":4},{"info":"compute binary expreesion, left_input=4857, right_input=2366, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4252","layer":4},{"info":"compute unary expreesion, input=4252, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=320","layer":2},{"info":"number node, value=4761","layer":4},{"info":"number node, value=3775","layer":4},{"info":"compute binary expreesion, left_input=4761, right_input=3775, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8536","layer":3},{"info":"number node, value=2778","layer":4},{"info":"compute unary expreesion, input=2778, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8536, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=8536","layer":2},{"info":"compute binary expreesion, left_input=320, right_input=8536, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=320","layer":1},{"info":"compute binary expreesion, left_input=-18068, right_input=320, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-35820","layer":0}],"base":3,"result_base":3,"text":"((↩(⪲⇎⫏≰1210021))/(⫏≰2021021⨓⫏≰110212210/(⊄⩳↩⫏≰2021222)))⪮%⊝(((⫏≰20122220⨵⪆⫏≰10020122)⫸⊐(⫏≰12211111⩠))⋝⋈⪟((⫏≰20112100+⫏≰12011211)∲⫓(⫛⫱⨽⫏≰10210220)))=⫏≰-1211010200","reverse_text":"⫏≰-1211010200=((↩(⪲⇎⫏≰1210021))/(⫏≰2021021⨓⫏≰110212210/(⊄⩳↩⫏≰2021222)))⪮%⊝(((⫏≰20122220⨵⪆⫏≰10020122)⫸⊐(⫏≰12211111⩠))⋝⋈⪟((⫏≰20112100+⫏≰12011211)∲⫓(⫛⫱⨽⫏≰10210220)))","cot":[{"info":"⪲⇎⫏≰1210021=⫏≰10120112","layer":3},{"info":"↩⫏≰10120112=⫏≰-220210012","layer":2},{"info":"⫏≰2021021⨓⫏≰110212210=⫏≰-110212220","layer":3},{"info":"⊄⩳↩⫏≰2021222=⫏≰-20212220","layer":3},{"info":"⫏≰-110212220/⫏≰-20212220=⫏≰1","layer":2},{"info":"⫏≰-220210012/⫏≰1=⫏≰-220210012","layer":1},{"info":"⫏≰20122220⨵⪆⫏≰10020122=⫏≰12221","layer":3},{"info":"⫏≰12211111⩠=⫏≰0","layer":3},{"info":"⫏≰12221⫸⊐⫏≰0=⫏≰102212","layer":2},{"info":"⫏≰20112100+⫏≰12011211=⫏≰102201011","layer":3},{"info":"⫛⫱⨽⫏≰10210220=⫏≰0","layer":3},{"info":"⫏≰102201011∲⫓⫏≰0=⫏≰102201011","layer":2},{"info":"⫏≰102212⋝⋈⪟⫏≰102201011=⫏≰102212","layer":1},{"info":"⫏≰-220210012⪮%⊝⫏≰102212=⫏≰-1211010200","layer":0}]}
{"id":338,"expression_no_base_symbol":"(($4535$+$2455$)≹⇙⪍($1096$⊉≛↸$5012$)+⇶⊼(($4345$⨽$3019$)⩠))⇷(⫛⫱⨽($2477$⨎$5136$))⊴(($1782$/$5919$)⊭↱($2930$⨵⪆$1166$))","expression":"((⫏≰20012222+⫏≰10100221)≹⇙⪍(⫏≰1111121⊉≛↸⫏≰20212122)+⇶⊼((⫏≰12221221⨽⫏≰11010211)⩠))⇷(⫛⫱⨽(⫏≰10101202⨎⫏≰21001020))⊴((⫏≰2110000/⫏≰22010020)⊭↱(⫏≰11000112⨵⪆⫏≰1121012))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6145,"operation_count":13,"complexity_ratio":472.6923076923077,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4535,"base":3},"right_expr":{"type":"numeric_atoms","value":2455,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1096,"base":3},"right_expr":{"type":"numeric_atoms","value":5012,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4345,"base":3},"right_expr":{"type":"numeric_atoms","value":3019,"base":3}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2477,"base":3},"right_expr":{"type":"numeric_atoms","value":5136,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1782,"base":3},"right_expr":{"type":"numeric_atoms","value":5919,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2930,"base":3},"right_expr":{"type":"numeric_atoms","value":1166,"base":3}}}}},"used_operators":["mp7IySMOzn","TpPTUOHfaN","AHs5Up7iyr","W4YGzv6Whe","DZ8iAZOCBD","sJAwomhLZr","8HhzD0ZcuI","Nsiff2A1zJ","DlLNRPXxWL","rJVOvQCfKK","COABgblf1C","XhwjNDsVaA","2DQ55sFlQl"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4535","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=4535, right_input=2455, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6990","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=5012","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=5012, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2192","layer":3},{"info":"compute binary expreesion, left_input=6990, right_input=2192, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4345","layer":4},{"info":"number node, value=3019","layer":4},{"info":"compute binary expreesion, left_input=4345, right_input=3019, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-56644818","layer":3},{"info":"compute unary expreesion, input=-56644818, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=226579481","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=226579481, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2477","layer":4},{"info":"number node, value=5136","layer":4},{"info":"compute binary expreesion, left_input=2477, right_input=5136, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5136","layer":3},{"info":"compute unary expreesion, input=5136, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1782","layer":4},{"info":"number node, value=5919","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=5919, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2930","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=2930, right_input=1166, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=325","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=325, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20012222+⫏≰10100221)≹⇙⪍(⫏≰1111121⊉≛↸⫏≰20212122)+⇶⊼((⫏≰12221221⨽⫏≰11010211)⩠))⇷(⫛⫱⨽(⫏≰10101202⨎⫏≰21001020))⊴((⫏≰2110000/⫏≰22010020)⊭↱(⫏≰11000112⨵⪆⫏≰1121012))=NaN","reverse_text":"NaN=((⫏≰20012222+⫏≰10100221)≹⇙⪍(⫏≰1111121⊉≛↸⫏≰20212122)+⇶⊼((⫏≰12221221⨽⫏≰11010211)⩠))⇷(⫛⫱⨽(⫏≰10101202⨎⫏≰21001020))⊴((⫏≰2110000/⫏≰22010020)⊭↱(⫏≰11000112⨵⪆⫏≰1121012))","cot":[{"info":"⫏≰20012222+⫏≰10100221=⫏≰100120220","layer":3},{"info":"⫏≰1111121⊉≛↸⫏≰20212122=⫏≰10000012","layer":3},{"info":"⫏≰100120220≹⇙⪍⫏≰10000012=NaN","layer":2},{"info":"⫏≰12221221⨽⫏≰11010211=⫏≰-10221120212002020","layer":3},{"info":"⫏≰-10221120212002020⩠=⫏≰120210100102121122","layer":2},{"info":"NaN+⇶⊼⫏≰120210100102121122=NaN","layer":1},{"info":"⫏≰10101202⨎⫏≰21001020=⫏≰21001020","layer":3},{"info":"⫛⫱⨽⫏≰21001020=⫏≰0","layer":2},{"info":"⫏≰2110000/⫏≰22010020=⫏≰0","layer":3},{"info":"⫏≰11000112⨵⪆⫏≰1121012=⫏≰12221","layer":3},{"info":"⫏≰0⊭↱⫏≰12221=⫏≰110001","layer":2},{"info":"⫏≰0⊴⫏≰110001=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":339,"expression_no_base_symbol":"∂((⨰⫟⨤$5470$)≭($1240$∲⫓$2476$)⨳⩥⨓($4480$↙$8666$)⨽(⊥$1336$))","expression":"∂((⨰⫟⨤⫏≰21111121)≭(⫏≰1200221∲⫓⫏≰10101201)⨳⩥⨓(⫏≰20010221↙⫏≰102212222)⨽(⊥⫏≰1211111))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":55724,"operation_count":8,"complexity_ratio":6965.5,"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":5470,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1240,"base":3},"right_expr":{"type":"numeric_atoms","value":2476,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4480,"base":3},"right_expr":{"type":"numeric_atoms","value":8666,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1336,"base":3}}}}},"used_operators":["Uaa54Peajs","nCS4ZIUYfx","rxpJgHHUmx","Tw270M8GLb","i8ToyICDmI","8HhzD0ZcuI","yyfyN0ffXY","Q3PJZHRvZv"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5470","layer":4},{"info":"compute unary expreesion, input=5470, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1240","layer":4},{"info":"number node, value=2476","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=2476, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(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=4480","layer":4},{"info":"number node, value=8666","layer":4},{"info":"compute binary expreesion, left_input=4480, right_input=8666, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-25998","layer":3},{"info":"number node, value=1336","layer":4},{"info":"compute unary expreesion, input=1336, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-25998, 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=-22, 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 = 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":3,"result_base":3,"text":"∂((⨰⫟⨤⫏≰21111121)≭(⫏≰1200221∲⫓⫏≰10101201)⨳⩥⨓(⫏≰20010221↙⫏≰102212222)⨽(⊥⫏≰1211111))=NaN","reverse_text":"NaN=∂((⨰⫟⨤⫏≰21111121)≭(⫏≰1200221∲⫓⫏≰10101201)⨳⩥⨓(⫏≰20010221↙⫏≰102212222)⨽(⊥⫏≰1211111))","cot":[{"info":"⨰⫟⨤⫏≰21111121=NaN","layer":3},{"info":"⫏≰1200221∲⫓⫏≰10101201=⫏≰0","layer":3},{"info":"NaN≭⫏≰0=⫏≰-211","layer":2},{"info":"⫏≰20010221↙⫏≰102212222=⫏≰-1022122220","layer":3},{"info":"⊥⫏≰1211111=NaN","layer":3},{"info":"⫏≰-1022122220⨽NaN=NaN","layer":2},{"info":"⫏≰-211⨳⩥⨓NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":340,"expression_no_base_symbol":"((↥$1917$⫥∨⫟$2391$)⊪)⊠≄⫣","expression":"((↥⫏≰2122000⫥∨⫟⫏≰10021120)⊪)⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":171,"operation_count":4,"complexity_ratio":42.75,"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":1917,"base":3},"right_expr":{"type":"numeric_atoms","value":2391,"base":3}}}}},"used_operators":["DIvbN7qnHd","zVYPLywUTj","A8NUZmVepG","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1917","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=2391, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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 = 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↥⫏≰2122000⫥∨⫟⫏≰10021120)⊪)⊠≄⫣=NaN","reverse_text":"NaN=((↥⫏≰2122000⫥∨⫟⫏≰10021120)⊪)⊠≄⫣","cot":[{"info":"⫏≰2122000⫥∨⫟⫏≰10021120=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"⪲⇎(↩$2627$)∼($4332$⫸⊐$1319$)⨓(≉$4986$)∼(∥⊫$1780$)","expression":"⪲⇎(↩⫏≰10121022)∼(⫏≰12221110⫸⊐⫏≰1210212)⨓(≉⫏≰20211200)∼(∥⊫⫏≰2102221)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":524,"operation_count":8,"complexity_ratio":65.5,"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":2627,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4332,"base":3},"right_expr":{"type":"numeric_atoms","value":1319,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4986,"base":3}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1780,"base":3}}}}},"used_operators":["XPYlsWDdGa","3ViojmjbAp","DyGG3AbaNP","jLgFTUHLKL","mqXw5SEYmG","e1ybzncUwg","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2627","layer":4},{"info":"compute unary expreesion, input=2627, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-18236","layer":3},{"info":"number node, value=4332","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=4332, right_input=1319, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5151","layer":3},{"info":"compute binary expreesion, left_input=-18236, right_input=5151, 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=4986","layer":4},{"info":"compute unary expreesion, input=4986, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5517","layer":3},{"info":"number node, value=1780","layer":4},{"info":"compute unary expreesion, input=1780, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2648","layer":3},{"info":"compute binary expreesion, left_input=5517, right_input=2648, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪲⇎(↩⫏≰10121022)∼(⫏≰12221110⫸⊐⫏≰1210212)⨓(≉⫏≰20211200)∼(∥⊫⫏≰2102221)=NaN","reverse_text":"NaN=⪲⇎(↩⫏≰10121022)∼(⫏≰12221110⫸⊐⫏≰1210212)⨓(≉⫏≰20211200)∼(∥⊫⫏≰2102221)","cot":[{"info":"↩⫏≰10121022=⫏≰-221000102","layer":3},{"info":"⫏≰12221110⫸⊐⫏≰1210212=⫏≰21001210","layer":3},{"info":"⫏≰-221000102∼⫏≰21001210=NaN","layer":2},{"info":"≉⫏≰20211200=⫏≰21120100","layer":3},{"info":"∥⊫⫏≰2102221=⫏≰10122002","layer":3},{"info":"⫏≰21120100∼⫏≰10122002=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":342,"expression_no_base_symbol":"(((⫓⪴$4821$)/$4141$⨰$2823$)⋫)⫥∨⫟($2337$⩚⊴⇥$2361$∲⫓$6962$⨰$2525$)∑⇟⊟(∥⊫($3425$%$5656$))","expression":"(((⫓⪴⫏≰20121120)/⫏≰12200101⨰⫏≰10212120)⋫)⫥∨⫟(⫏≰10012120⩚⊴⇥⫏≰10020110∲⫓⫏≰100112212⨰⫏≰10110112)∑⇟⊟(∥⊫(⫏≰11200212%⫏≰21202111))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":40000,"operation_count":11,"complexity_ratio":3636.3636363636365,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4821,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4141,"base":3},"right_expr":{"type":"numeric_atoms","value":2823,"base":3}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2337,"base":3},"right_expr":{"type":"numeric_atoms","value":2361,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6962,"base":3},"right_expr":{"type":"numeric_atoms","value":2525,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3425,"base":3},"right_expr":{"type":"numeric_atoms","value":5656,"base":3}}}}},"used_operators":["KYD54nUTWz","JL8yIekQnl","XhwjNDsVaA","eLxqMNBOBk","eewbuw0ToL","U7g4x0WXJJ","i8ToyICDmI","NTOWxs364D","P8v4zCKN1o","k8jYdgA6NY"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","rysDP5nf3Z","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4821","layer":4},{"info":"compute unary expreesion, input=4821, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=23242041","layer":3},{"info":"number node, value=4141","layer":4},{"info":"number node, value=2823","layer":4},{"info":"compute binary expreesion, left_input=4141, right_input=2823, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1328","layer":3},{"info":"compute binary expreesion, left_input=23242041, right_input=1328, op_id = XhwjNDsVaA binary_op_definition= 'None', output=17501","layer":2},{"info":"compute unary expreesion, input=17501, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=17501","layer":1},{"info":"number node, value=2337","layer":4},{"info":"number node, value=2361","layer":4},{"info":"compute binary expreesion, left_input=2337, right_input=2361, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4819","layer":3},{"info":"number node, value=6962","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=6962, right_input=2525, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4447","layer":3},{"info":"compute binary expreesion, left_input=-4819, right_input=4447, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=3425","layer":4},{"info":"number node, value=5656","layer":4},{"info":"compute binary expreesion, left_input=3425, right_input=5656, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3425","layer":3},{"info":"compute unary expreesion, input=3425, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4293","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4293, 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=17501, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫓⪴⫏≰20121120)/⫏≰12200101⨰⫏≰10212120)⋫)⫥∨⫟(⫏≰10012120⩚⊴⇥⫏≰10020110∲⫓⫏≰100112212⨰⫏≰10110112)∑⇟⊟(∥⊫(⫏≰11200212%⫏≰21202111))=NaN","reverse_text":"NaN=(((⫓⪴⫏≰20121120)/⫏≰12200101⨰⫏≰10212120)⋫)⫥∨⫟(⫏≰10012120⩚⊴⇥⫏≰10020110∲⫓⫏≰100112212⨰⫏≰10110112)∑⇟⊟(∥⊫(⫏≰11200212%⫏≰21202111))","cot":[{"info":"⫓⪴⫏≰20121120=⫏≰1121201211002100","layer":3},{"info":"⫏≰12200101⨰⫏≰10212120=⫏≰1211012","layer":3},{"info":"⫏≰1121201211002100/⫏≰1211012=⫏≰220000012","layer":2},{"info":"⫏≰220000012⋫=⫏≰220000012","layer":1},{"info":"⫏≰10012120⩚⊴⇥⫏≰10020110=⫏≰-20121111","layer":3},{"info":"⫏≰100112212⨰⫏≰10110112=⫏≰20002201","layer":3},{"info":"⫏≰-20121111∲⫓⫏≰20002201=⫏≰0","layer":2},{"info":"⫏≰11200212%⫏≰21202111=⫏≰11200212","layer":3},{"info":"∥⊫⫏≰11200212=⫏≰12220000","layer":2},{"info":"⫏≰0∑⇟⊟⫏≰12220000=NaN","layer":1},{"info":"⫏≰220000012⫥∨⫟NaN=NaN","layer":0}]}
{"id":343,"expression_no_base_symbol":"⊄⩳↩(($1168$⋝⋈⪟$5564$⪒$2943$⨐⩸⫘$1809$)≣⋋)","expression":"⊄⩳↩((⫏≰1121021⋝⋈⪟⫏≰21122002⪒⫏≰11001000⨐⩸⫘⫏≰2111000)≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14,"operation_count":5,"complexity_ratio":2.8,"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":1168,"base":3},"right_expr":{"type":"numeric_atoms","value":5564,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2943,"base":3},"right_expr":{"type":"numeric_atoms","value":1809,"base":3}}}}},"used_operators":["8w2t5hMYqp","Tcnh7f0tEr","f6k1SAg4EE","2DDjHMKMc0","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1168","layer":4},{"info":"number node, value=5564","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=5564, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1168","layer":3},{"info":"number node, value=2943","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=1809, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1168, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*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":3,"result_base":3,"text":"⊄⩳↩((⫏≰1121021⋝⋈⪟⫏≰21122002⪒⫏≰11001000⨐⩸⫘⫏≰2111000)≣⋋)=NaN","reverse_text":"NaN=⊄⩳↩((⫏≰1121021⋝⋈⪟⫏≰21122002⪒⫏≰11001000⨐⩸⫘⫏≰2111000)≣⋋)","cot":[{"info":"⫏≰1121021⋝⋈⪟⫏≰21122002=⫏≰1121021","layer":3},{"info":"⫏≰11001000⨐⩸⫘⫏≰2111000=NaN","layer":3},{"info":"⫏≰1121021⪒NaN=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"(($1687$⇋≉)⨁⊸⫻)⋥≓≎($4524$%$7479$)⋝⋈⪟(⨰⫟⨤$7224$)-($4280$⪘⫢$1130$↺($2208$+$2128$))⨐⩸⫘((↔$4135$)/$1446$⨟⋌⩍$2225$)","expression":"((⫏≰2022111⇋≉)⨁⊸⫻)⋥≓≎(⫏≰20012120%⫏≰101021000)⋝⋈⪟(⨰⫟⨤⫏≰100220120)-(⫏≰12212112⪘⫢⫏≰1112212↺(⫏≰10000210+⫏≰2220211))⨐⩸⫘((↔⫏≰12200011)/⫏≰1222120⨟⋌⩍⫏≰10001102)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":28097,"operation_count":14,"complexity_ratio":2006.9285714285713,"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":1687,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4524,"base":3},"right_expr":{"type":"numeric_atoms","value":7479,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":7224,"base":3}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4280,"base":3},"right_expr":{"type":"numeric_atoms","value":1130,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2208,"base":3},"right_expr":{"type":"numeric_atoms","value":2128,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4135,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1446,"base":3},"right_expr":{"type":"numeric_atoms","value":2225,"base":3}}}}},"used_operators":["rysDP5nf3Z","Qy55tPpLXF","glklzrTFfD","XIabStNQrY","2DDjHMKMc0","k8jYdgA6NY","Tw270M8GLb","fu6greOZ01","7j4O788W3g","oacrs7FA3X","W4YGzv6Whe","XhwjNDsVaA","ruOEQAzv1W","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1687","layer":4},{"info":"compute unary expreesion, input=1687, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3276","layer":3},{"info":"compute unary expreesion, input=3276, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3276","layer":2},{"info":"number node, value=4524","layer":4},{"info":"number node, value=7479","layer":4},{"info":"compute binary expreesion, left_input=4524, right_input=7479, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4524","layer":3},{"info":"number node, value=7224","layer":4},{"info":"compute unary expreesion, input=7224, 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=4524, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3276, 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=4280","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=4280, right_input=1130, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8436","layer":3},{"info":"number node, value=2208","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=2128, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4336","layer":3},{"info":"compute binary expreesion, left_input=8436, right_input=4336, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4336","layer":2},{"info":"number node, value=4135","layer":4},{"info":"compute unary expreesion, input=4135, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3862","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=2225","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=2225, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-3862, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4336, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2022111⇋≉)⨁⊸⫻)⋥≓≎(⫏≰20012120%⫏≰101021000)⋝⋈⪟(⨰⫟⨤⫏≰100220120)-(⫏≰12212112⪘⫢⫏≰1112212↺(⫏≰10000210+⫏≰2220211))⨐⩸⫘((↔⫏≰12200011)/⫏≰1222120⨟⋌⩍⫏≰10001102)=NaN","reverse_text":"NaN=((⫏≰2022111⇋≉)⨁⊸⫻)⋥≓≎(⫏≰20012120%⫏≰101021000)⋝⋈⪟(⨰⫟⨤⫏≰100220120)-(⫏≰12212112⪘⫢⫏≰1112212↺(⫏≰10000210+⫏≰2220211))⨐⩸⫘((↔⫏≰12200011)/⫏≰1222120⨟⋌⩍⫏≰10001102)","cot":[{"info":"⫏≰2022111⇋≉=⫏≰11111100","layer":3},{"info":"⫏≰11111100⨁⊸⫻=⫏≰11111100","layer":2},{"info":"⫏≰20012120%⫏≰101021000=⫏≰20012120","layer":3},{"info":"⨰⫟⨤⫏≰100220120=NaN","layer":3},{"info":"⫏≰20012120⋝⋈⪟NaN=NaN","layer":2},{"info":"⫏≰11111100⋥≓≎NaN=NaN","layer":1},{"info":"⫏≰12212112⪘⫢⫏≰1112212=⫏≰102120110","layer":3},{"info":"⫏≰10000210+⫏≰2220211=⫏≰12221121","layer":3},{"info":"⫏≰102120110↺⫏≰12221121=⫏≰12221121","layer":2},{"info":"↔⫏≰12200011=⫏≰-12022001","layer":3},{"info":"⫏≰1222120⨟⋌⩍⫏≰10001102=NaN","layer":3},{"info":"⫏≰-12022001/NaN=NaN","layer":2},{"info":"⫏≰12221121⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":345,"expression_no_base_symbol":"(⨑⩽⪐(($1470$∲⫓$1796$)⊭∹↮))*(((⩦⩻⨪$4226$)⩨(↣≠⋷$3419$))⊘)","expression":"(⨑⩽⪐((⫏≰2000110∲⫓⫏≰2110112)⊭∹↮))*(((⩦⩻⨪⫏≰12210112)⩨(↣≠⋷⫏≰11200122))⊘)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":42,"operation_count":8,"complexity_ratio":5.25,"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":1470,"base":3},"right_expr":{"type":"numeric_atoms","value":1796,"base":3}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4226,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3419,"base":3}}}}},"used_operators":["9HNa5Wba9A","AF7qkfDlqP","xNBdhnnwKq","i8ToyICDmI","gu96TGCTMs","2DlMacCsIx","2td37pGCOC","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1470","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=1796, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":2},{"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":1},{"info":"number node, value=4226","layer":4},{"info":"compute unary expreesion, input=4226, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4226","layer":3},{"info":"number node, value=3419","layer":4},{"info":"compute unary expreesion, input=3419, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4226, 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 = 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=789, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨑⩽⪐((⫏≰2000110∲⫓⫏≰2110112)⊭∹↮))*(((⩦⩻⨪⫏≰12210112)⩨(↣≠⋷⫏≰11200122))⊘)=NaN","reverse_text":"NaN=(⨑⩽⪐((⫏≰2000110∲⫓⫏≰2110112)⊭∹↮))*(((⩦⩻⨪⫏≰12210112)⩨(↣≠⋷⫏≰11200122))⊘)","cot":[{"info":"⫏≰2000110∲⫓⫏≰2110112=⫏≰0","layer":3},{"info":"⫏≰0⊭∹↮=⫏≰0","layer":2},{"info":"⨑⩽⪐⫏≰0=⫏≰1002020","layer":1},{"info":"⩦⩻⨪⫏≰12210112=⫏≰12210112","layer":3},{"info":"↣≠⋷⫏≰11200122=NaN","layer":3},{"info":"⫏≰12210112⩨NaN=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⫏≰1002020*NaN=NaN","layer":0}]}
{"id":346,"expression_no_base_symbol":"(($2360$⨵⪆$1411$)≎⊠⪸($2154$⨐⩸⫘$1738$)*$1042$⇷$6463$⋥≓≎$3629$⫥∨⫟$1419$)∑⇟⊟((($4669$≋⫹)-$2472$*$2706$)⨳⩥⨓($3473$⨎$2025$)⨰$3820$⇷$1581$)","expression":"((⫏≰10020102⨵⪆⫏≰1221021)≎⊠⪸(⫏≰2221210⨐⩸⫘⫏≰2101101)*⫏≰1102121⇷⫏≰22212101⋥≓≎⫏≰11222102⫥∨⫟⫏≰1221120)∑⇟⊟(((⫏≰20101221≋⫹)-⫏≰10101120*⫏≰10201020)⨳⩥⨓(⫏≰11202122⨎⫏≰2210000)⨰⫏≰12020111⇷⫏≰2011120)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":70739,"operation_count":15,"complexity_ratio":4715.933333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2360,"base":3},"right_expr":{"type":"numeric_atoms","value":1411,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2154,"base":3},"right_expr":{"type":"numeric_atoms","value":1738,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1042,"base":3},"right_expr":{"type":"numeric_atoms","value":6463,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3629,"base":3},"right_expr":{"type":"numeric_atoms","value":1419,"base":3}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4669,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2472,"base":3},"right_expr":{"type":"numeric_atoms","value":2706,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3473,"base":3},"right_expr":{"type":"numeric_atoms","value":2025,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3820,"base":3},"right_expr":{"type":"numeric_atoms","value":1581,"base":3}}}}},"used_operators":["U7g4x0WXJJ","9HNa5Wba9A","bJkvcejdHO","2DQ55sFlQl","fu6greOZ01","Qy55tPpLXF","mp7IySMOzn","KYD54nUTWz","nCS4ZIUYfx","rysDP5nf3Z","N41Kp7NANJ","eewbuw0ToL","rJVOvQCfKK"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2360","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=2360, right_input=1411, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2154","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=2154, right_input=1738, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=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":2},{"info":"number node, value=1042","layer":4},{"info":"number node, value=6463","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=6463, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12926","layer":3},{"info":"number node, value=3629","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=3629, right_input=1419, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12926, 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=67, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4669","layer":4},{"info":"compute unary expreesion, input=4669, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9338","layer":3},{"info":"number node, value=2472","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=2472, right_input=2706, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6689232","layer":3},{"info":"compute binary expreesion, left_input=-9338, right_input=6689232, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6698570","layer":2},{"info":"number node, value=3473","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=3473, right_input=2025, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2025","layer":3},{"info":"number node, value=3820","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=3820, right_input=1581, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3162","layer":3},{"info":"compute binary expreesion, left_input=2025, right_input=3162, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1127","layer":2},{"info":"compute binary expreesion, left_input=-6698570, right_input=-1127, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6697443","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6697443, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10020102⨵⪆⫏≰1221021)≎⊠⪸(⫏≰2221210⨐⩸⫘⫏≰2101101)*⫏≰1102121⇷⫏≰22212101⋥≓≎⫏≰11222102⫥∨⫟⫏≰1221120)∑⇟⊟(((⫏≰20101221≋⫹)-⫏≰10101120*⫏≰10201020)⨳⩥⨓(⫏≰11202122⨎⫏≰2210000)⨰⫏≰12020111⇷⫏≰2011120)=NaN","reverse_text":"NaN=((⫏≰10020102⨵⪆⫏≰1221021)≎⊠⪸(⫏≰2221210⨐⩸⫘⫏≰2101101)*⫏≰1102121⇷⫏≰22212101⋥≓≎⫏≰11222102⫥∨⫟⫏≰1221120)∑⇟⊟(((⫏≰20101221≋⫹)-⫏≰10101120*⫏≰10201020)⨳⩥⨓(⫏≰11202122⨎⫏≰2210000)⨰⫏≰12020111⇷⫏≰2011120)","cot":[{"info":"⫏≰10020102⨵⪆⫏≰1221021=⫏≰12221","layer":3},{"info":"⫏≰2221210⨐⩸⫘⫏≰2101101=NaN","layer":3},{"info":"⫏≰12221≎⊠⪸NaN=⫏≰2111","layer":2},{"info":"⫏≰1102121⇷⫏≰22212101=⫏≰122201202","layer":3},{"info":"⫏≰11222102⫥∨⫟⫏≰1221120=NaN","layer":3},{"info":"⫏≰122201202⋥≓≎NaN=NaN","layer":2},{"info":"⫏≰2111*NaN=NaN","layer":1},{"info":"⫏≰20101221≋⫹=⫏≰-110210212","layer":3},{"info":"⫏≰10101120*⫏≰10201020=⫏≰110120211220100","layer":3},{"info":"⫏≰-110210212-⫏≰110120211220100=⫏≰-110121022201012","layer":2},{"info":"⫏≰11202122⨎⫏≰2210000=⫏≰2210000","layer":3},{"info":"⫏≰12020111⇷⫏≰2011120=⫏≰11100010","layer":3},{"info":"⫏≰2210000⨰⫏≰11100010=⫏≰-1112202","layer":2},{"info":"⫏≰-110121022201012⨳⩥⨓⫏≰-1112202=⫏≰110121021011110","layer":1},{"info":"NaN∑⇟⊟⫏≰110121021011110=NaN","layer":0}]}
{"id":347,"expression_no_base_symbol":"⫓⪴(($1853$≫≃)⊭↱(≤/$1383$)⊭↱($1414$↙$7388$⩨($7508$⪒$8699$)))","expression":"⫓⪴((⫏≰2112122≫≃)⊭↱(≤/⫏≰1220020)⊭↱(⫏≰1221101↙⫏≰101010122⩨(⫏≰101022002⪒⫏≰102221012)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":31437,"operation_count":8,"complexity_ratio":3929.625,"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":1853,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1383,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1414,"base":3},"right_expr":{"type":"numeric_atoms","value":7388,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7508,"base":3},"right_expr":{"type":"numeric_atoms","value":8699,"base":3}}}}},"used_operators":["eLxqMNBOBk","COABgblf1C","X99M06cbEe","eLAdDNolq6","2DlMacCsIx","yyfyN0ffXY","f6k1SAg4EE"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰1111012120011222111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1853","layer":4},{"info":"compute unary expreesion, input=1853, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5107","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=5107, right_input=-899, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-12007","layer":2},{"info":"number node, value=1414","layer":4},{"info":"number node, value=7388","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=7388, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22164","layer":3},{"info":"number node, value=7508","layer":4},{"info":"number node, value=8699","layer":4},{"info":"compute binary expreesion, left_input=7508, right_input=8699, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-16207","layer":3},{"info":"compute binary expreesion, left_input=-22164, right_input=-16207, 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=-12007, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=24019","layer":1},{"info":"compute unary expreesion, input=24019, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=576912361","layer":0}],"base":3,"result_base":3,"text":"⫓⪴((⫏≰2112122≫≃)⊭↱(≤/⫏≰1220020)⊭↱(⫏≰1221101↙⫏≰101010122⩨(⫏≰101022002⪒⫏≰102221012)))=⫏≰1111012120011222111","reverse_text":"⫏≰1111012120011222111=⫓⪴((⫏≰2112122≫≃)⊭↱(≤/⫏≰1220020)⊭↱(⫏≰1221101↙⫏≰101010122⩨(⫏≰101022002⪒⫏≰102221012)))","cot":[{"info":"⫏≰2112122≫≃=⫏≰21000011","layer":3},{"info":"≤/⫏≰1220020=⫏≰-1020022","layer":3},{"info":"⫏≰21000011⊭↱⫏≰-1020022=⫏≰-121110201","layer":2},{"info":"⫏≰1221101↙⫏≰101010122=⫏≰-1010101220","layer":3},{"info":"⫏≰101022002⪒⫏≰102221012=⫏≰-211020021","layer":3},{"info":"⫏≰-1010101220⩨⫏≰-211020021=⫏≰0","layer":2},{"info":"⫏≰-121110201⊭↱⫏≰0=⫏≰1012221121","layer":1},{"info":"⫓⪴⫏≰1012221121=⫏≰1111012120011222111","layer":0}]}
{"id":348,"expression_no_base_symbol":"((↯⪼(+⊝⨔$2754$))⊴((↣≠⋷$1279$)⫡⨏$2949$⪮%⊝$1576$))≹⇙⪍(↣≠⋷($5521$⋝⋈⪟$4104$%$5442$⩷∴$5566$))","expression":"((↯⪼(+⊝⨔⫏≰10210000))⊴((↣≠⋷⫏≰1202101)⫡⨏⫏≰11001020⪮%⊝⫏≰2011101))≹⇙⪍(↣≠⋷(⫏≰21120111⋝⋈⪟⫏≰12122000%⫏≰21110120⩷∴⫏≰21122011))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6369,"operation_count":11,"complexity_ratio":579.0,"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":2754,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1279,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2949,"base":3},"right_expr":{"type":"numeric_atoms","value":1576,"base":3}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5521,"base":3},"right_expr":{"type":"numeric_atoms","value":4104,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5442,"base":3},"right_expr":{"type":"numeric_atoms","value":5566,"base":3}}}}},"used_operators":["AHs5Up7iyr","Nsiff2A1zJ","8jW3W4yZS5","DhbWaqg5eL","QMFrweE19q","Asc51vEJeQ","IWmyXbctLI","k8jYdgA6NY","2DDjHMKMc0","9FxExcQeMw"],"dependent_operators":["dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2754","layer":4},{"info":"compute unary expreesion, input=2754, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=1279","layer":4},{"info":"compute unary expreesion, input=1279, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2949","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=2949, right_input=1576, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6214","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6214, op_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=-21, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=5521","layer":4},{"info":"number node, value=4104","layer":4},{"info":"compute binary expreesion, left_input=5521, right_input=4104, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5521","layer":3},{"info":"number node, value=5442","layer":4},{"info":"number node, value=5566","layer":4},{"info":"compute binary expreesion, left_input=5442, right_input=5566, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-280","layer":3},{"info":"compute binary expreesion, left_input=5521, right_input=-280, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-79","layer":2},{"info":"compute unary expreesion, input=-79, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"((↯⪼(+⊝⨔⫏≰10210000))⊴((↣≠⋷⫏≰1202101)⫡⨏⫏≰11001020⪮%⊝⫏≰2011101))≹⇙⪍(↣≠⋷(⫏≰21120111⋝⋈⪟⫏≰12122000%⫏≰21110120⩷∴⫏≰21122011))=NaN","reverse_text":"NaN=((↯⪼(+⊝⨔⫏≰10210000))⊴((↣≠⋷⫏≰1202101)⫡⨏⫏≰11001020⪮%⊝⫏≰2011101))≹⇙⪍(↣≠⋷(⫏≰21120111⋝⋈⪟⫏≰12122000%⫏≰21110120⩷∴⫏≰21122011))","cot":[{"info":"+⊝⨔⫏≰10210000=⫏≰2002101","layer":3},{"info":"↯⪼⫏≰2002101=⫏≰-210","layer":2},{"info":"↣≠⋷⫏≰1202101=NaN","layer":3},{"info":"⫏≰11001020⪮%⊝⫏≰2011101=⫏≰22112011","layer":3},{"info":"NaN⫡⨏⫏≰22112011=NaN","layer":2},{"info":"⫏≰-210⊴NaN=NaN","layer":1},{"info":"⫏≰21120111⋝⋈⪟⫏≰12122000=⫏≰21120111","layer":3},{"info":"⫏≰21110120⩷∴⫏≰21122011=⫏≰-101101","layer":3},{"info":"⫏≰21120111%⫏≰-101101=⫏≰-2221","layer":2},{"info":"↣≠⋷⫏≰-2221=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":349,"expression_no_base_symbol":"(($1438$↺$2465$)≹⇙⪍(⋗⩬⋾$1118$)⩨$6105$≎⊠⪸$3897$⫥∨⫟(⫛⫱⨽$1965$))⋝⋈⪟((⋗⩬⋾$1495$⋳⪒$1073$)∧)","expression":"((⫏≰1222021↺⫏≰10101022)≹⇙⪍(⋗⩬⋾⫏≰1112102)⩨⫏≰22101010≎⊠⪸⫏≰12100100⫥∨⫟(⫛⫱⨽⫏≰2200210))⋝⋈⪟((⋗⩬⋾⫏≰2001101⋳⪒⫏≰1110202)∧)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1877,"operation_count":11,"complexity_ratio":170.63636363636363,"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":1438,"base":3},"right_expr":{"type":"numeric_atoms","value":2465,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1118,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6105,"base":3},"right_expr":{"type":"numeric_atoms","value":3897,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1965,"base":3}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1495,"base":3},"right_expr":{"type":"numeric_atoms","value":1073,"base":3}}}}},"used_operators":["2DDjHMKMc0","2DlMacCsIx","AHs5Up7iyr","7j4O788W3g","DpFCA1CohY","KYD54nUTWz","bJkvcejdHO","DlLNRPXxWL","z63VuFQld9","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1438","layer":4},{"info":"number node, value=2465","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=2465, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2465","layer":3},{"info":"number node, value=1118","layer":4},{"info":"compute unary expreesion, input=1118, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3354","layer":3},{"info":"compute binary expreesion, left_input=2465, right_input=-3354, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=6105","layer":4},{"info":"number node, value=3897","layer":4},{"info":"compute binary expreesion, left_input=6105, right_input=3897, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1580722","layer":3},{"info":"number node, value=1965","layer":4},{"info":"compute unary expreesion, input=1965, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1580722, right_input=0, 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":"number node, value=1495","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=1073, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1630","layer":3},{"info":"compute unary expreesion, input=1630, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4890","layer":2},{"info":"compute unary expreesion, input=-4890, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1222021↺⫏≰10101022)≹⇙⪍(⋗⩬⋾⫏≰1112102)⩨⫏≰22101010≎⊠⪸⫏≰12100100⫥∨⫟(⫛⫱⨽⫏≰2200210))⋝⋈⪟((⋗⩬⋾⫏≰2001101⋳⪒⫏≰1110202)∧)=NaN","reverse_text":"NaN=((⫏≰1222021↺⫏≰10101022)≹⇙⪍(⋗⩬⋾⫏≰1112102)⩨⫏≰22101010≎⊠⪸⫏≰12100100⫥∨⫟(⫛⫱⨽⫏≰2200210))⋝⋈⪟((⋗⩬⋾⫏≰2001101⋳⪒⫏≰1110202)∧)","cot":[{"info":"⫏≰1222021↺⫏≰10101022=⫏≰10101022","layer":3},{"info":"⋗⩬⋾⫏≰1112102=⫏≰-11121020","layer":3},{"info":"⫏≰10101022≹⇙⪍⫏≰-11121020=NaN","layer":2},{"info":"⫏≰22101010≎⊠⪸⫏≰12100100=⫏≰2222022100021","layer":3},{"info":"⫛⫱⨽⫏≰2200210=⫏≰0","layer":3},{"info":"⫏≰2222022100021⫥∨⫟⫏≰0=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⫏≰2001101⋳⪒⫏≰1110202=⫏≰2020101","layer":3},{"info":"⋗⩬⋾⫏≰2020101=⫏≰-20201010","layer":2},{"info":"⫏≰-20201010∧=⫏≰0","layer":1},{"info":"NaN⋝⋈⪟⫏≰0=NaN","layer":0}]}
{"id":350,"expression_no_base_symbol":"(⨑⩽⪐($5430$↺$2467$))⪢($2910$⫥∨⫟$1314$)⊴($6009$↙$5786$)⫌⩹⨱","expression":"(⨑⩽⪐(⫏≰21110010↺⫏≰10101101))⪢(⫏≰10222210⫥∨⫟⫏≰1210200)⊴(⫏≰22020120↙⫏≰21221022)⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":23321,"operation_count":7,"complexity_ratio":3331.5714285714284,"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":5430,"base":3},"right_expr":{"type":"numeric_atoms","value":2467,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2910,"base":3},"right_expr":{"type":"numeric_atoms","value":1314,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6009,"base":3},"right_expr":{"type":"numeric_atoms","value":5786,"base":3}}}}},"used_operators":["EBcxylXtPf","dWAJyo7jo9","AF7qkfDlqP","7j4O788W3g","Nsiff2A1zJ","KYD54nUTWz","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5430","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=5430, right_input=2467, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2467","layer":3},{"info":"compute unary expreesion, input=2467, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2194","layer":2},{"info":"number node, value=2910","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=2910, right_input=1314, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6009","layer":4},{"info":"number node, value=5786","layer":4},{"info":"compute binary expreesion, left_input=6009, right_input=5786, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17358","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-17358, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2194, 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 unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨑⩽⪐(⫏≰21110010↺⫏≰10101101))⪢(⫏≰10222210⫥∨⫟⫏≰1210200)⊴(⫏≰22020120↙⫏≰21221022)⫌⩹⨱=NaN","reverse_text":"NaN=(⨑⩽⪐(⫏≰21110010↺⫏≰10101101))⪢(⫏≰10222210⫥∨⫟⫏≰1210200)⊴(⫏≰22020120↙⫏≰21221022)⫌⩹⨱","cot":[{"info":"⫏≰21110010↺⫏≰10101101=⫏≰10101101","layer":3},{"info":"⨑⩽⪐⫏≰10101101=⫏≰-10000021","layer":2},{"info":"⫏≰10222210⫥∨⫟⫏≰1210200=NaN","layer":3},{"info":"⫏≰22020120↙⫏≰21221022=⫏≰-212210220","layer":3},{"info":"NaN⊴⫏≰-212210220=NaN","layer":2},{"info":"⫏≰-10000021⪢NaN=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":351,"expression_no_base_symbol":"(↽≂($5224$⇼⇔∾$1694$))∼($2141$⪛$2200$⫸⊐($1615$/$2767$))⩨((⇁⨣⪵$1244$)⋥≓≎$1023$⨟⋌⩍$1488$⩨($2651$⩷∴$3315$⊭↱($2830$⋷$2517$)))","expression":"(↽≂(⫏≰21011111⇼⇔∾⫏≰2022202))∼(⫏≰2221022⪛⫏≰10000111⫸⊐(⫏≰2012211/⫏≰10210111))⩨((⇁⨣⪵⫏≰1201002)⋥≓≎⫏≰1101220⨟⋌⩍⫏≰2001010⩨(⫏≰10122012⩷∴⫏≰11112210⊭↱(⫏≰10212211⋷⫏≰10110020)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":824,"operation_count":14,"complexity_ratio":58.857142857142854,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5224,"base":3},"right_expr":{"type":"numeric_atoms","value":1694,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2141,"base":3},"right_expr":{"type":"numeric_atoms","value":2200,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1615,"base":3},"right_expr":{"type":"numeric_atoms","value":2767,"base":3}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1244,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1023,"base":3},"right_expr":{"type":"numeric_atoms","value":1488,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2651,"base":3},"right_expr":{"type":"numeric_atoms","value":3315,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2830,"base":3},"right_expr":{"type":"numeric_atoms","value":2517,"base":3}}}}},"used_operators":["2DlMacCsIx","DyGG3AbaNP","u6S6b8DprG","tifHPKVTfV","mqXw5SEYmG","uFcxV4UQCh","XhwjNDsVaA","Qy55tPpLXF","inkyxCbjAn","rGHVDoGpnC","COABgblf1C","9FxExcQeMw","23Mk6UjR3U"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5224","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=5224, right_input=1694, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3530","layer":3},{"info":"compute unary expreesion, input=-3530, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=7060","layer":2},{"info":"number node, value=2141","layer":4},{"info":"number node, value=2200","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=2200, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2141","layer":3},{"info":"number node, value=1615","layer":4},{"info":"number node, value=2767","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=2767, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=2141, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-125","layer":2},{"info":"compute binary expreesion, left_input=7060, right_input=-125, 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=1244","layer":4},{"info":"compute unary expreesion, input=1244, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1023","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=1488, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=2651","layer":4},{"info":"number node, value=3315","layer":4},{"info":"compute binary expreesion, left_input=2651, right_input=3315, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1360","layer":3},{"info":"number node, value=2830","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=2830, right_input=2517, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2204","layer":3},{"info":"compute binary expreesion, left_input=-1360, right_input=2204, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7133","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=7133, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-318","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-318, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↽≂(⫏≰21011111⇼⇔∾⫏≰2022202))∼(⫏≰2221022⪛⫏≰10000111⫸⊐(⫏≰2012211/⫏≰10210111))⩨((⇁⨣⪵⫏≰1201002)⋥≓≎⫏≰1101220⨟⋌⩍⫏≰2001010⩨(⫏≰10122012⩷∴⫏≰11112210⊭↱(⫏≰10212211⋷⫏≰10110020)))=NaN","reverse_text":"NaN=(↽≂(⫏≰21011111⇼⇔∾⫏≰2022202))∼(⫏≰2221022⪛⫏≰10000111⫸⊐(⫏≰2012211/⫏≰10210111))⩨((⇁⨣⪵⫏≰1201002)⋥≓≎⫏≰1101220⨟⋌⩍⫏≰2001010⩨(⫏≰10122012⩷∴⫏≰11112210⊭↱(⫏≰10212211⋷⫏≰10110020)))","cot":[{"info":"⫏≰21011111⇼⇔∾⫏≰2022202=⫏≰-11211202","layer":3},{"info":"↽≂⫏≰-11211202=⫏≰100200111","layer":2},{"info":"⫏≰2221022⪛⫏≰10000111=⫏≰2221022","layer":3},{"info":"⫏≰2012211/⫏≰10210111=⫏≰0","layer":3},{"info":"⫏≰2221022⫸⊐⫏≰0=⫏≰-11122","layer":2},{"info":"⫏≰100200111∼⫏≰-11122=⫏≰0","layer":1},{"info":"⇁⨣⪵⫏≰1201002=NaN","layer":3},{"info":"⫏≰1101220⨟⋌⩍⫏≰2001010=NaN","layer":3},{"info":"NaN⋥≓≎NaN=⫏≰2111","layer":2},{"info":"⫏≰10122012⩷∴⫏≰11112210=⫏≰-1212101","layer":3},{"info":"⫏≰10212211⋷⫏≰10110020=⫏≰10000122","layer":3},{"info":"⫏≰-1212101⊭↱⫏≰10000122=⫏≰100210012","layer":2},{"info":"⫏≰2111⩨⫏≰100210012=⫏≰-102210","layer":1},{"info":"⫏≰0⩨⫏≰-102210=NaN","layer":0}]}
{"id":352,"expression_no_base_symbol":"(($2699$⨸⪁$1027$⨵⪆$1659$⨰$2175$)⊠≄⫣)⨟⋌⩍((≤/$3786$∀⇚≩$2074$)∧)","expression":"((⫏≰10200222⨸⪁⫏≰1102001⨵⪆⫏≰2021110⨰⫏≰2222120)⊠≄⫣)⨟⋌⩍((≤/⫏≰12012020∀⇚≩⫏≰2211211)∧)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26525,"operation_count":8,"complexity_ratio":3315.625,"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":2699,"base":3},"right_expr":{"type":"numeric_atoms","value":1027,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1659,"base":3},"right_expr":{"type":"numeric_atoms","value":2175,"base":3}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3786,"base":3},"right_expr":{"type":"numeric_atoms","value":2074,"base":3}}}}},"used_operators":["rGHVDoGpnC","DIvbN7qnHd","2DQ55sFlQl","g55IO6H4Gj","eewbuw0ToL","z63VuFQld9","eLAdDNolq6","LRNGc0VcxI"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2699","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=2699, right_input=1027, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7452","layer":3},{"info":"number node, value=1659","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=2175, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-506","layer":3},{"info":"compute binary expreesion, left_input=7452, right_input=-506, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=3786","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=3786, right_input=2074, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":3,"result_base":3,"text":"((⫏≰10200222⨸⪁⫏≰1102001⨵⪆⫏≰2021110⨰⫏≰2222120)⊠≄⫣)⨟⋌⩍((≤/⫏≰12012020∀⇚≩⫏≰2211211)∧)=NaN","reverse_text":"NaN=((⫏≰10200222⨸⪁⫏≰1102001⨵⪆⫏≰2021110⨰⫏≰2222120)⊠≄⫣)⨟⋌⩍((≤/⫏≰12012020∀⇚≩⫏≰2211211)∧)","cot":[{"info":"⫏≰10200222⨸⪁⫏≰1102001=⫏≰101020000","layer":3},{"info":"⫏≰2021110⨰⫏≰2222120=⫏≰-200202","layer":3},{"info":"⫏≰101020000⨵⪆⫏≰-200202=⫏≰12221","layer":2},{"info":"⫏≰12221⊠≄⫣=⫏≰0","layer":1},{"info":"⫏≰12012020∀⇚≩⫏≰2211211=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⫏≰0⨟⋌⩍NaN=NaN","layer":0}]}
{"id":353,"expression_no_base_symbol":"($1385$⨓$2690$⨎($5993$%$5357$))⨓($3777$⋝⋈⪟$1438$⊭↱($1244$%$3054$))⋥≓≎(↣≠⋷($1354$⋳⪒$3064$⋥≓≎($2088$⫩⊇)))","expression":"(⫏≰1220022⨓⫏≰10200122⨎(⫏≰22012222%⫏≰21100102))⨓(⫏≰12011220⋝⋈⪟⫏≰1222021⊭↱(⫏≰1201002%⫏≰11012010))⋥≓≎(↣≠⋷(⫏≰1212011⋳⪒⫏≰11012111⋥≓≎(⫏≰2212100⫩⊇)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12279,"operation_count":12,"complexity_ratio":1023.25,"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":1385,"base":3},"right_expr":{"type":"numeric_atoms","value":2690,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5993,"base":3},"right_expr":{"type":"numeric_atoms","value":5357,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3777,"base":3},"right_expr":{"type":"numeric_atoms","value":1438,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1244,"base":3},"right_expr":{"type":"numeric_atoms","value":3054,"base":3}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1354,"base":3},"right_expr":{"type":"numeric_atoms","value":3064,"base":3}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2088,"base":3}}}}},"used_operators":["Qy55tPpLXF","3ViojmjbAp","rJVOvQCfKK","k8jYdgA6NY","COABgblf1C","2DDjHMKMc0","Asc51vEJeQ","12rbrZMWeM","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1385","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=2690, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2693","layer":3},{"info":"number node, value=5993","layer":4},{"info":"number node, value=5357","layer":4},{"info":"compute binary expreesion, left_input=5993, right_input=5357, op_id = k8jYdgA6NY binary_op_definition= 'None', output=636","layer":3},{"info":"compute binary expreesion, left_input=-2693, right_input=636, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=636","layer":2},{"info":"number node, value=3777","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=3777, right_input=1438, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3777","layer":3},{"info":"number node, value=1244","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=3054, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1244","layer":3},{"info":"compute binary expreesion, left_input=3777, right_input=1244, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5061","layer":2},{"info":"compute binary expreesion, left_input=636, right_input=-5061, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5064","layer":1},{"info":"number node, value=1354","layer":4},{"info":"number node, value=3064","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=3064, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-643","layer":3},{"info":"number node, value=2088","layer":4},{"info":"compute unary expreesion, input=2088, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2046","layer":3},{"info":"compute binary expreesion, left_input=-643, right_input=-2046, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5064, 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":3,"result_base":3,"text":"(⫏≰1220022⨓⫏≰10200122⨎(⫏≰22012222%⫏≰21100102))⨓(⫏≰12011220⋝⋈⪟⫏≰1222021⊭↱(⫏≰1201002%⫏≰11012010))⋥≓≎(↣≠⋷(⫏≰1212011⋳⪒⫏≰11012111⋥≓≎(⫏≰2212100⫩⊇)))=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰1220022⨓⫏≰10200122⨎(⫏≰22012222%⫏≰21100102))⨓(⫏≰12011220⋝⋈⪟⫏≰1222021⊭↱(⫏≰1201002%⫏≰11012010))⋥≓≎(↣≠⋷(⫏≰1212011⋳⪒⫏≰11012111⋥≓≎(⫏≰2212100⫩⊇)))","cot":[{"info":"⫏≰1220022⨓⫏≰10200122=⫏≰-10200202","layer":3},{"info":"⫏≰22012222%⫏≰21100102=⫏≰212120","layer":3},{"info":"⫏≰-10200202⨎⫏≰212120=⫏≰212120","layer":2},{"info":"⫏≰12011220⋝⋈⪟⫏≰1222021=⫏≰12011220","layer":3},{"info":"⫏≰1201002%⫏≰11012010=⫏≰1201002","layer":3},{"info":"⫏≰12011220⊭↱⫏≰1201002=⫏≰-20221110","layer":2},{"info":"⫏≰212120⨓⫏≰-20221110=⫏≰-20221120","layer":1},{"info":"⫏≰1212011⋳⪒⫏≰11012111=⫏≰-212211","layer":3},{"info":"⫏≰2212100⫩⊇=⫏≰-2210210","layer":3},{"info":"⫏≰-212211⋥≓≎⫏≰-2210210=⫏≰2111","layer":2},{"info":"↣≠⋷⫏≰2111=NaN","layer":1},{"info":"⫏≰-20221120⋥≓≎NaN=⫏≰2111","layer":0}]}
{"id":354,"expression_no_base_symbol":"(($4092$⫥∨⫟$3867$⪒$1454$⋓$2022$)↬(($1557$⋫)⊉≛↸$4865$⋓$3004$))⪘⫢((⇁⨣⪵$1263$⨐⩸⫘$1024$)-($1524$⨳⩥⨓$2328$)⨽($2830$⫌⩹⨱))","expression":"((⫏≰12121120⫥∨⫟⫏≰12022020⪒⫏≰1222212⋓⫏≰2202220)↬((⫏≰2010200⋫)⊉≛↸⫏≰20200012⋓⫏≰11010021))⪘⫢((⇁⨣⪵⫏≰1201210⨐⩸⫘⫏≰1101221)-(⫏≰2002110⨳⩥⨓⫏≰10012020)⨽(⫏≰10212211⫌⩹⨱))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2578,"operation_count":14,"complexity_ratio":184.14285714285714,"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":4092,"base":3},"right_expr":{"type":"numeric_atoms","value":3867,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1454,"base":3},"right_expr":{"type":"numeric_atoms","value":2022,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1557,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4865,"base":3},"right_expr":{"type":"numeric_atoms","value":3004,"base":3}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1263,"base":3},"right_expr":{"type":"numeric_atoms","value":1024,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1524,"base":3},"right_expr":{"type":"numeric_atoms","value":2328,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2830,"base":3}}}}},"used_operators":["oacrs7FA3X","B5M0gjZbta","f6k1SAg4EE","KYD54nUTWz","T2fj7uvVaJ","DZ8iAZOCBD","JL8yIekQnl","rysDP5nf3Z","inkyxCbjAn","fu6greOZ01","8HhzD0ZcuI","nCS4ZIUYfx","EBcxylXtPf"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","B5M0gjZbta","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4092","layer":4},{"info":"number node, value=3867","layer":4},{"info":"compute binary expreesion, left_input=4092, right_input=3867, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1454","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=2022, op_id = T2fj7uvVaJ 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1557","layer":4},{"info":"compute unary expreesion, input=1557, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1557","layer":3},{"info":"number node, value=4865","layer":4},{"info":"number node, value=3004","layer":4},{"info":"compute binary expreesion, left_input=4865, right_input=3004, op_id = T2fj7uvVaJ 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=1557, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3114","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3114, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1263","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=1024, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1524","layer":4},{"info":"number node, value=2328","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=2328, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=804","layer":3},{"info":"number node, value=2830","layer":4},{"info":"compute unary expreesion, input=2830, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7061","layer":3},{"info":"compute binary expreesion, left_input=804, right_input=7061, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1959117","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1959117, op_id = rysDP5nf3Z binary_op_definition= 'None', 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":3,"result_base":3,"text":"((⫏≰12121120⫥∨⫟⫏≰12022020⪒⫏≰1222212⋓⫏≰2202220)↬((⫏≰2010200⋫)⊉≛↸⫏≰20200012⋓⫏≰11010021))⪘⫢((⇁⨣⪵⫏≰1201210⨐⩸⫘⫏≰1101221)-(⫏≰2002110⨳⩥⨓⫏≰10012020)⨽(⫏≰10212211⫌⩹⨱))=NaN","reverse_text":"NaN=((⫏≰12121120⫥∨⫟⫏≰12022020⪒⫏≰1222212⋓⫏≰2202220)↬((⫏≰2010200⋫)⊉≛↸⫏≰20200012⋓⫏≰11010021))⪘⫢((⇁⨣⪵⫏≰1201210⨐⩸⫘⫏≰1101221)-(⫏≰2002110⨳⩥⨓⫏≰10012020)⨽(⫏≰10212211⫌⩹⨱))","cot":[{"info":"⫏≰12121120⫥∨⫟⫏≰12022020=NaN","layer":3},{"info":"⫏≰1222212⋓⫏≰2202220=⫏≰0","layer":3},{"info":"NaN⪒⫏≰0=NaN","layer":2},{"info":"⫏≰2010200⋫=⫏≰2010200","layer":3},{"info":"⫏≰20200012⋓⫏≰11010021=⫏≰0","layer":3},{"info":"⫏≰2010200⊉≛↸⫏≰0=⫏≰11021100","layer":2},{"info":"NaN↬⫏≰11021100=NaN","layer":1},{"info":"⫏≰1201210⨐⩸⫘⫏≰1101221=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⫏≰2002110⨳⩥⨓⫏≰10012020=⫏≰1002210","layer":3},{"info":"⫏≰10212211⫌⩹⨱=⫏≰100200112","layer":3},{"info":"⫏≰1002210⨽⫏≰100200112=⫏≰-10200112101220","layer":2},{"info":"NaN-⫏≰-10200112101220=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":355,"expression_no_base_symbol":"((↣≠⋷$1008$)⨸⪁$2374$⩚⊴⇥$1679$⩨(⨰⫟⨤$1379$)⪛($2286$⋝⋈⪟$4226$))⨎(⩦⩻⨪($2042$⩠))≭($3992$↙$2449$)⩷∴($1331$⋓$3597$)","expression":"((↣≠⋷⫏≰1101100)⨸⪁⫏≰10020221⩚⊴⇥⫏≰2022012⩨(⨰⫟⨤⫏≰1220002)⪛(⫏≰10010200⋝⋈⪟⫏≰12210112))⨎(⩦⩻⨪(⫏≰2210122⩠))≭(⫏≰12110212↙⫏≰10100201)⩷∴(⫏≰1211022⋓⫏≰11221020)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7190,"operation_count":14,"complexity_ratio":513.5714285714286,"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":1008,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2374,"base":3},"right_expr":{"type":"numeric_atoms","value":1679,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1379,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2286,"base":3},"right_expr":{"type":"numeric_atoms","value":4226,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2042,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3992,"base":3},"right_expr":{"type":"numeric_atoms","value":2449,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1331,"base":3},"right_expr":{"type":"numeric_atoms","value":3597,"base":3}}}}},"used_operators":["rJVOvQCfKK","2DlMacCsIx","g55IO6H4Gj","Asc51vEJeQ","NTOWxs364D","uFcxV4UQCh","Tw270M8GLb","2DDjHMKMc0","rxpJgHHUmx","2td37pGCOC","sJAwomhLZr","9FxExcQeMw","yyfyN0ffXY","T2fj7uvVaJ"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2374","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=1679, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4174","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4174, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1379","layer":4},{"info":"compute unary expreesion, input=1379, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=4226","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=4226, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2286","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2286, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2042","layer":4},{"info":"compute unary expreesion, input=2042, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=3992","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=3992, right_input=2449, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7347","layer":3},{"info":"number node, value=1331","layer":4},{"info":"number node, value=3597","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=3597, op_id = T2fj7uvVaJ 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=-7347, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-14726","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-14726, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↣≠⋷⫏≰1101100)⨸⪁⫏≰10020221⩚⊴⇥⫏≰2022012⩨(⨰⫟⨤⫏≰1220002)⪛(⫏≰10010200⋝⋈⪟⫏≰12210112))⨎(⩦⩻⨪(⫏≰2210122⩠))≭(⫏≰12110212↙⫏≰10100201)⩷∴(⫏≰1211022⋓⫏≰11221020)=NaN","reverse_text":"NaN=((↣≠⋷⫏≰1101100)⨸⪁⫏≰10020221⩚⊴⇥⫏≰2022012⩨(⨰⫟⨤⫏≰1220002)⪛(⫏≰10010200⋝⋈⪟⫏≰12210112))⨎(⩦⩻⨪(⫏≰2210122⩠))≭(⫏≰12110212↙⫏≰10100201)⩷∴(⫏≰1211022⋓⫏≰11221020)","cot":[{"info":"↣≠⋷⫏≰1101100=NaN","layer":3},{"info":"⫏≰10020221⩚⊴⇥⫏≰2022012=⫏≰-12201121","layer":3},{"info":"NaN⨸⪁⫏≰-12201121=NaN","layer":2},{"info":"⨰⫟⨤⫏≰1220002=NaN","layer":3},{"info":"⫏≰10010200⋝⋈⪟⫏≰12210112=⫏≰10010200","layer":3},{"info":"NaN⪛⫏≰10010200=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⫏≰2210122⩠=⫏≰0","layer":3},{"info":"⩦⩻⨪⫏≰0=⫏≰0","layer":2},{"info":"⫏≰12110212↙⫏≰10100201=⫏≰-101002010","layer":3},{"info":"⫏≰1211022⋓⫏≰11221020=⫏≰0","layer":3},{"info":"⫏≰-101002010⩷∴⫏≰0=⫏≰-202012102","layer":2},{"info":"⫏≰0≭⫏≰-202012102=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"((⨰⫟⨤($3320$⩨$6061$))⪨≂(∥⊫($5130$⊭↱$5354$)))⨰(⊥(($8263$⨵⪆$7460$)∼($1233$%$3729$)))","expression":"((⨰⫟⨤(⫏≰11112222⩨⫏≰22022111))⪨≂(∥⊫(⫏≰21001000⊭↱⫏≰21100022)))⨰(⊥((⫏≰102100001⨵⪆⫏≰101020022)∼(⫏≰1200200%⫏≰12010010)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":957,"operation_count":10,"complexity_ratio":95.7,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3320,"base":3},"right_expr":{"type":"numeric_atoms","value":6061,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5130,"base":3},"right_expr":{"type":"numeric_atoms","value":5354,"base":3}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8263,"base":3},"right_expr":{"type":"numeric_atoms","value":7460,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1233,"base":3},"right_expr":{"type":"numeric_atoms","value":3729,"base":3}}}}},"used_operators":["eewbuw0ToL","sdazOOVcIp","Tw270M8GLb","2DlMacCsIx","P8v4zCKN1o","COABgblf1C","Q3PJZHRvZv","DyGG3AbaNP","2DQ55sFlQl","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3320","layer":4},{"info":"number node, value=6061","layer":4},{"info":"compute binary expreesion, left_input=3320, right_input=6061, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=5130","layer":4},{"info":"number node, value=5354","layer":4},{"info":"compute binary expreesion, left_input=5130, right_input=5354, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=453","layer":3},{"info":"compute unary expreesion, input=453, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1321","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1321, op_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=8263","layer":4},{"info":"number node, value=7460","layer":4},{"info":"compute binary expreesion, left_input=8263, right_input=7460, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1233","layer":4},{"info":"number node, value=3729","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=3729, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1233","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1233, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨰⫟⨤(⫏≰11112222⩨⫏≰22022111))⪨≂(∥⊫(⫏≰21001000⊭↱⫏≰21100022)))⨰(⊥((⫏≰102100001⨵⪆⫏≰101020022)∼(⫏≰1200200%⫏≰12010010)))=NaN","reverse_text":"NaN=((⨰⫟⨤(⫏≰11112222⩨⫏≰22022111))⪨≂(∥⊫(⫏≰21001000⊭↱⫏≰21100022)))⨰(⊥((⫏≰102100001⨵⪆⫏≰101020022)∼(⫏≰1200200%⫏≰12010010)))","cot":[{"info":"⫏≰11112222⩨⫏≰22022111=⫏≰-10","layer":3},{"info":"⨰⫟⨤⫏≰-10=NaN","layer":2},{"info":"⫏≰21001000⊭↱⫏≰21100022=⫏≰121210","layer":3},{"info":"∥⊫⫏≰121210=⫏≰1210221","layer":2},{"info":"NaN⪨≂⫏≰1210221=NaN","layer":1},{"info":"⫏≰102100001⨵⪆⫏≰101020022=⫏≰12221","layer":3},{"info":"⫏≰1200200%⫏≰12010010=⫏≰1200200","layer":3},{"info":"⫏≰12221∼⫏≰1200200=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":357,"expression_no_base_symbol":"$2169$⋝⋈⪟$2651$≧⫂∧($3263$⋓$4149$)⋥≓≎(($1445$⊭↱$1229$)⇋≉)/($2813$⇷$1247$)⪢($3908$≣⋋)⪄($5376$⨓$1136$≣⋋)","expression":"⫏≰2222100⋝⋈⪟⫏≰10122012≧⫂∧(⫏≰11110212⋓⫏≰12200200)⋥≓≎((⫏≰1222112⊭↱⫏≰1200112)⇋≉)/(⫏≰10212012⇷⫏≰1201012)⪢(⫏≰12100202≣⋋)⪄(⫏≰21101010⨓⫏≰1120002≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41612,"operation_count":13,"complexity_ratio":3200.923076923077,"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":2169,"base":3},"right_expr":{"type":"numeric_atoms","value":2651,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3263,"base":3},"right_expr":{"type":"numeric_atoms","value":4149,"base":3}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1445,"base":3},"right_expr":{"type":"numeric_atoms","value":1229,"base":3}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2813,"base":3},"right_expr":{"type":"numeric_atoms","value":1247,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3908,"base":3}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5376,"base":3},"right_expr":{"type":"numeric_atoms","value":1136,"base":3}}}}},"used_operators":["XhwjNDsVaA","Qy55tPpLXF","Ph9nP6C5qx","2DDjHMKMc0","T2fj7uvVaJ","XIabStNQrY","COABgblf1C","SUmda5xLS4","dWAJyo7jo9","mp7IySMOzn","Tcnh7f0tEr","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2169","layer":4},{"info":"number node, value=2651","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=2651, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2169","layer":3},{"info":"number node, value=3263","layer":4},{"info":"number node, value=4149","layer":4},{"info":"compute binary expreesion, left_input=3263, right_input=4149, op_id = T2fj7uvVaJ 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=2169, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"number node, value=1445","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=1229, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-427","layer":3},{"info":"compute unary expreesion, input=-427, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-952","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=-952, 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=2813","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=2813, right_input=1247, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2494","layer":3},{"info":"number node, value=3908","layer":4},{"info":"compute unary expreesion, input=3908, 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=2494, 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=5376","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=5376, right_input=1136, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1139","layer":3},{"info":"compute unary expreesion, input=-1139, 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=0, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3911","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=3911, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":3,"result_base":3,"text":"⫏≰2222100⋝⋈⪟⫏≰10122012≧⫂∧(⫏≰11110212⋓⫏≰12200200)⋥≓≎((⫏≰1222112⊭↱⫏≰1200112)⇋≉)/(⫏≰10212012⇷⫏≰1201012)⪢(⫏≰12100202≣⋋)⪄(⫏≰21101010⨓⫏≰1120002≣⋋)=⫏≰0","reverse_text":"⫏≰0=⫏≰2222100⋝⋈⪟⫏≰10122012≧⫂∧(⫏≰11110212⋓⫏≰12200200)⋥≓≎((⫏≰1222112⊭↱⫏≰1200112)⇋≉)/(⫏≰10212012⇷⫏≰1201012)⪢(⫏≰12100202≣⋋)⪄(⫏≰21101010⨓⫏≰1120002≣⋋)","cot":[{"info":"⫏≰2222100⋝⋈⪟⫏≰10122012=⫏≰2222100","layer":3},{"info":"⫏≰11110212⋓⫏≰12200200=⫏≰0","layer":3},{"info":"⫏≰2222100≧⫂∧⫏≰0=⫏≰-122112","layer":2},{"info":"⫏≰1222112⊭↱⫏≰1200112=⫏≰-120211","layer":3},{"info":"⫏≰-120211⇋≉=⫏≰-1022021","layer":2},{"info":"⫏≰-122112⋥≓≎⫏≰-1022021=⫏≰2111","layer":1},{"info":"⫏≰10212012⇷⫏≰1201012=⫏≰10102101","layer":3},{"info":"⫏≰12100202≣⋋=⫏≰0","layer":3},{"info":"⫏≰10102101⪢⫏≰0=⫏≰0","layer":2},{"info":"⫏≰21101010⨓⫏≰1120002=⫏≰-1120012","layer":3},{"info":"⫏≰-1120012≣⋋=⫏≰0","layer":2},{"info":"⫏≰0⪄⫏≰0=⫏≰12100212","layer":1},{"info":"⫏≰2111/⫏≰12100212=⫏≰0","layer":0}]}
{"id":358,"expression_no_base_symbol":"(($1209$≭$4120$)⨓(⨑⩽⪐$1283$)⨵⪆(($1399$≋⫹)/$4538$⨎$2599$))↺(↩$3688$∼$2390$)⋳⪒($2947$↬$2272$⨳⩥⨓$4206$⩷∴$1021$)","expression":"((⫏≰1122210≭⫏≰12122121)⨓(⨑⩽⪐⫏≰1202112)⨵⪆((⫏≰1220211≋⫹)/⫏≰20020002⨎⫏≰10120021))↺(↩⫏≰12001121∼⫏≰10021112)⋳⪒(⫏≰11001011↬⫏≰10010011⨳⩥⨓⫏≰12202210⩷∴⫏≰1101211)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1139,"operation_count":14,"complexity_ratio":81.35714285714286,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1209,"base":3},"right_expr":{"type":"numeric_atoms","value":4120,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1283,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1399,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4538,"base":3},"right_expr":{"type":"numeric_atoms","value":2599,"base":3}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3688,"base":3},"right_expr":{"type":"numeric_atoms","value":2390,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2947,"base":3},"right_expr":{"type":"numeric_atoms","value":2272,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4206,"base":3},"right_expr":{"type":"numeric_atoms","value":1021,"base":3}}}}},"used_operators":["7j4O788W3g","2DQ55sFlQl","3ViojmjbAp","rxpJgHHUmx","AF7qkfDlqP","XhwjNDsVaA","N41Kp7NANJ","rJVOvQCfKK","12rbrZMWeM","jLgFTUHLKL","DyGG3AbaNP","nCS4ZIUYfx","B5M0gjZbta","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"number node, value=4120","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=4120, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1283","layer":4},{"info":"compute unary expreesion, input=1283, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1010","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1010, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=1007","layer":2},{"info":"number node, value=1399","layer":4},{"info":"compute unary expreesion, input=1399, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2798","layer":3},{"info":"number node, value=4538","layer":4},{"info":"number node, value=2599","layer":4},{"info":"compute binary expreesion, left_input=4538, right_input=2599, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2599","layer":3},{"info":"compute binary expreesion, left_input=-2798, right_input=2599, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":2},{"info":"compute binary expreesion, left_input=1007, right_input=-2, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3688","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=3688, right_input=2390, 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=2947","layer":4},{"info":"number node, value=2272","layer":4},{"info":"compute binary expreesion, left_input=2947, right_input=2272, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4206","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=4206, right_input=1021, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6338","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6338, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, 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":3,"result_base":3,"text":"((⫏≰1122210≭⫏≰12122121)⨓(⨑⩽⪐⫏≰1202112)⨵⪆((⫏≰1220211≋⫹)/⫏≰20020002⨎⫏≰10120021))↺(↩⫏≰12001121∼⫏≰10021112)⋳⪒(⫏≰11001011↬⫏≰10010011⨳⩥⨓⫏≰12202210⩷∴⫏≰1101211)=NaN","reverse_text":"NaN=((⫏≰1122210≭⫏≰12122121)⨓(⨑⩽⪐⫏≰1202112)⨵⪆((⫏≰1220211≋⫹)/⫏≰20020002⨎⫏≰10120021))↺(↩⫏≰12001121∼⫏≰10021112)⋳⪒(⫏≰11001011↬⫏≰10010011⨳⩥⨓⫏≰12202210⩷∴⫏≰1101211)","cot":[{"info":"⫏≰1122210≭⫏≰12122121=NaN","layer":3},{"info":"⨑⩽⪐⫏≰1202112=⫏≰-1101102","layer":3},{"info":"NaN⨓⫏≰-1101102=⫏≰1101022","layer":2},{"info":"⫏≰1220211≋⫹=⫏≰-10211122","layer":3},{"info":"⫏≰20020002⨎⫏≰10120021=⫏≰10120021","layer":3},{"info":"⫏≰-10211122/⫏≰10120021=⫏≰-2","layer":2},{"info":"⫏≰1101022⨵⪆⫏≰-2=⫏≰12221","layer":1},{"info":"⫏≰12001121∼⫏≰10021112=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⫏≰11001011↬⫏≰10010011=NaN","layer":3},{"info":"⫏≰12202210⩷∴⫏≰1101211=⫏≰22200202","layer":3},{"info":"NaN⨳⩥⨓⫏≰22200202=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⫏≰12221↺NaN=NaN","layer":0}]}
{"id":359,"expression_no_base_symbol":"((↯⪼($2766$+⇶⊼$2159$))⋳⪒($1856$⫥∨⫟$4761$⨸⪁$1605$⋝⋈⪟$1524$))≹⇙⪍((⨵≀≌($3560$⫡⨏$1001$))⩨($1183$≎⊠⪸$5583$∲⫓(⨑⩽⪐$1745$)))","expression":"((↯⪼(⫏≰10210110+⇶⊼⫏≰2221222))⋳⪒(⫏≰2112202⫥∨⫟⫏≰20112100⨸⪁⫏≰2012110⋝⋈⪟⫏≰2002110))≹⇙⪍((⨵≀≌(⫏≰11212212⫡⨏⫏≰1101002))⩨(⫏≰1121211≎⊠⪸⫏≰21122210∲⫓(⨑⩽⪐⫏≰2101122)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":716,"operation_count":13,"complexity_ratio":55.07692307692308,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2766,"base":3},"right_expr":{"type":"numeric_atoms","value":2159,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1856,"base":3},"right_expr":{"type":"numeric_atoms","value":4761,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1605,"base":3},"right_expr":{"type":"numeric_atoms","value":1524,"base":3}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3560,"base":3},"right_expr":{"type":"numeric_atoms","value":1001,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1183,"base":3},"right_expr":{"type":"numeric_atoms","value":5583,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1745,"base":3}}}}},"used_operators":["AHs5Up7iyr","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","g55IO6H4Gj","KYD54nUTWz","2DDjHMKMc0","2DlMacCsIx","srAu1WTS94","QMFrweE19q","i8ToyICDmI","bJkvcejdHO","AF7qkfDlqP"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2766","layer":4},{"info":"number node, value=2159","layer":4},{"info":"compute binary expreesion, left_input=2766, right_input=2159, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":"number node, value=1856","layer":4},{"info":"number node, value=4761","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=4761, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1605","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=1524, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1605","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1605, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3560","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=3560, right_input=1001, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20585","layer":3},{"info":"compute unary expreesion, input=20585, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-61755","layer":2},{"info":"number node, value=1183","layer":4},{"info":"number node, value=5583","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=5583, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=305924","layer":3},{"info":"number node, value=1745","layer":4},{"info":"compute unary expreesion, input=1745, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1472","layer":3},{"info":"compute binary expreesion, left_input=305924, right_input=-1472, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=305924","layer":2},{"info":"compute binary expreesion, left_input=-61755, right_input=305924, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=15","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"((↯⪼(⫏≰10210110+⇶⊼⫏≰2221222))⋳⪒(⫏≰2112202⫥∨⫟⫏≰20112100⨸⪁⫏≰2012110⋝⋈⪟⫏≰2002110))≹⇙⪍((⨵≀≌(⫏≰11212212⫡⨏⫏≰1101002))⩨(⫏≰1121211≎⊠⪸⫏≰21122210∲⫓(⨑⩽⪐⫏≰2101122)))=NaN","reverse_text":"NaN=((↯⪼(⫏≰10210110+⇶⊼⫏≰2221222))⋳⪒(⫏≰2112202⫥∨⫟⫏≰20112100⨸⪁⫏≰2012110⋝⋈⪟⫏≰2002110))≹⇙⪍((⨵≀≌(⫏≰11212212⫡⨏⫏≰1101002))⩨(⫏≰1121211≎⊠⪸⫏≰21122210∲⫓(⨑⩽⪐⫏≰2101122)))","cot":[{"info":"⫏≰10210110+⇶⊼⫏≰2221222=NaN","layer":3},{"info":"↯⪼NaN=⫏≰-210","layer":2},{"info":"⫏≰2112202⫥∨⫟⫏≰20112100=NaN","layer":3},{"info":"⫏≰2012110⋝⋈⪟⫏≰2002110=⫏≰2012110","layer":3},{"info":"NaN⨸⪁⫏≰2012110=NaN","layer":2},{"info":"⫏≰-210⋳⪒NaN=NaN","layer":1},{"info":"⫏≰11212212⫡⨏⫏≰1101002=⫏≰1001020102","layer":3},{"info":"⨵≀≌⫏≰1001020102=⫏≰-10010201020","layer":2},{"info":"⫏≰1121211≎⊠⪸⫏≰21122210=⫏≰120112122112","layer":3},{"info":"⨑⩽⪐⫏≰2101122=⫏≰-2000112","layer":3},{"info":"⫏≰120112122112∲⫓⫏≰-2000112=⫏≰120112122112","layer":2},{"info":"⫏≰-10010201020⩨⫏≰120112122112=⫏≰120","layer":1},{"info":"NaN≹⇙⪍⫏≰120=NaN","layer":0}]}
{"id":360,"expression_no_base_symbol":"((⨰⫟⨤$1432$)↬$1972$≹⇙⪍$2569$⨐⩸⫘(⨈⫕($2996$⨸⪁$1433$)))⩠","expression":"((⨰⫟⨤⫏≰1222001)↬⫏≰2201001≹⇙⪍⫏≰10112011⨐⩸⫘(⨈⫕(⫏≰11002222⨸⪁⫏≰1222002)))⩠","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5863,"operation_count":7,"complexity_ratio":837.5714285714286,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1432,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1972,"base":3},"right_expr":{"type":"numeric_atoms","value":2569,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2996,"base":3},"right_expr":{"type":"numeric_atoms","value":1433,"base":3}}}}},"used_operators":["sJAwomhLZr","fu6greOZ01","B5M0gjZbta","Tw270M8GLb","AHs5Up7iyr","megm06wKyl","g55IO6H4Gj"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","3ViojmjbAp","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe"],"result":"⫏≰11012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1432","layer":4},{"info":"compute unary expreesion, input=1432, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1972","layer":4},{"info":"number node, value=2569","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=2569, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2996","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=2996, right_input=1433, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8858","layer":3},{"info":"compute unary expreesion, input=8858, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(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":1},{"info":"compute unary expreesion, input=24, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=113","layer":0}],"base":3,"result_base":3,"text":"((⨰⫟⨤⫏≰1222001)↬⫏≰2201001≹⇙⪍⫏≰10112011⨐⩸⫘(⨈⫕(⫏≰11002222⨸⪁⫏≰1222002)))⩠=⫏≰11012","reverse_text":"⫏≰11012=((⨰⫟⨤⫏≰1222001)↬⫏≰2201001≹⇙⪍⫏≰10112011⨐⩸⫘(⨈⫕(⫏≰11002222⨸⪁⫏≰1222002)))⩠","cot":[{"info":"⨰⫟⨤⫏≰1222001=NaN","layer":3},{"info":"⫏≰2201001≹⇙⪍⫏≰10112011=NaN","layer":3},{"info":"NaN↬NaN=NaN","layer":2},{"info":"⫏≰11002222⨸⪁⫏≰1222002=⫏≰110011002","layer":3},{"info":"⨈⫕⫏≰110011002=⫏≰-210","layer":2},{"info":"NaN⨐⩸⫘⫏≰-210=⫏≰220","layer":1},{"info":"⫏≰220⩠=⫏≰11012","layer":0}]}
{"id":361,"expression_no_base_symbol":"↯⪼((≦∁$2580$⪮%⊝$6439$)⋷(⊥$5003$)⨐⩸⫘(↩$4087$))","expression":"↯⪼((≦∁⫏≰10112120⪮%⊝⫏≰22211111)⋷(⊥⫏≰20212022)⨐⩸⫘(↩⫏≰12121101))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":62,"operation_count":7,"complexity_ratio":8.857142857142858,"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":2580,"base":3},"right_expr":{"type":"numeric_atoms","value":6439,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5003,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4087,"base":3}}}}},"used_operators":["8jW3W4yZS5","23Mk6UjR3U","9ICcGScMcE","IWmyXbctLI","fu6greOZ01","Q3PJZHRvZv","jLgFTUHLKL"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3ViojmjbAp","fu6greOZ01","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2580","layer":4},{"info":"number node, value=6439","layer":4},{"info":"compute binary expreesion, left_input=2580, right_input=6439, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5476","layer":3},{"info":"compute unary expreesion, input=5476, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5476","layer":2},{"info":"number node, value=5003","layer":4},{"info":"compute unary expreesion, input=5003, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=4087","layer":4},{"info":"compute unary expreesion, input=4087, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-29916","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-29916, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5476, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":3,"result_base":3,"text":"↯⪼((≦∁⫏≰10112120⪮%⊝⫏≰22211111)⋷(⊥⫏≰20212022)⨐⩸⫘(↩⫏≰12121101))=⫏≰-210","reverse_text":"⫏≰-210=↯⪼((≦∁⫏≰10112120⪮%⊝⫏≰22211111)⋷(⊥⫏≰20212022)⨐⩸⫘(↩⫏≰12121101))","cot":[{"info":"⫏≰10112120⪮%⊝⫏≰22211111=⫏≰21111211","layer":3},{"info":"≦∁⫏≰21111211=⫏≰21111211","layer":2},{"info":"⊥⫏≰20212022=NaN","layer":3},{"info":"↩⫏≰12121101=⫏≰-1112001000","layer":3},{"info":"NaN⨐⩸⫘⫏≰-1112001000=NaN","layer":2},{"info":"⫏≰21111211⋷NaN=NaN","layer":1},{"info":"↯⪼NaN=⫏≰-210","layer":0}]}
{"id":362,"expression_no_base_symbol":"⨞⊢(↩$4281$⋥≓≎$1462$)⊴(⊄⩳↩($4856$⋝⋈⪟$1022$))","expression":"⨞⊢(↩⫏≰12212120⋥≓≎⫏≰2000011)⊴(⊄⩳↩(⫏≰20122212⋝⋈⪟⫏≰1101212))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":17524,"operation_count":6,"complexity_ratio":2920.6666666666665,"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":4281,"base":3},"right_expr":{"type":"numeric_atoms","value":1462,"base":3}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4856,"base":3},"right_expr":{"type":"numeric_atoms","value":1022,"base":3}}}}},"used_operators":["xUOZtlo3hN","Nsiff2A1zJ","jLgFTUHLKL","Qy55tPpLXF","8w2t5hMYqp","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4281","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=4281, right_input=1462, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1324","layer":3},{"info":"compute unary expreesion, input=-1324, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=7916","layer":2},{"info":"number node, value=4856","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=4856, right_input=1022, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4856","layer":3},{"info":"compute unary expreesion, input=4856, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14568","layer":2},{"info":"compute binary expreesion, left_input=7916, right_input=-14568, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨞⊢(↩⫏≰12212120⋥≓≎⫏≰2000011)⊴(⊄⩳↩(⫏≰20122212⋝⋈⪟⫏≰1101212))=NaN","reverse_text":"NaN=⨞⊢(↩⫏≰12212120⋥≓≎⫏≰2000011)⊴(⊄⩳↩(⫏≰20122212⋝⋈⪟⫏≰1101212))","cot":[{"info":"⫏≰12212120⋥≓≎⫏≰2000011=⫏≰-1211001","layer":3},{"info":"↩⫏≰-1211001=⫏≰101212012","layer":2},{"info":"⫏≰20122212⋝⋈⪟⫏≰1101212=⫏≰20122212","layer":3},{"info":"⊄⩳↩⫏≰20122212=⫏≰-201222120","layer":2},{"info":"⫏≰101212012⊴⫏≰-201222120=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":363,"expression_no_base_symbol":"(($4846$⊭∹↮)↺($2282$≦≮≮)⋷($1333$/$2936$)∲⫓$7024$⨳⩥⨓$2308$)⋓(⨞⊢(⪲⇎$2845$⊴$5980$))","expression":"((⫏≰20122111⊭∹↮)↺(⫏≰10010112≦≮≮)⋷(⫏≰1211101/⫏≰11000202)∲⫓⫏≰100122011⨳⩥⨓⫏≰10011111)⋓(⨞⊢(⪲⇎⫏≰10220101⊴⫏≰22012111))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6021,"operation_count":11,"complexity_ratio":547.3636363636364,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4846,"base":3}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2282,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1333,"base":3},"right_expr":{"type":"numeric_atoms","value":2936,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7024,"base":3},"right_expr":{"type":"numeric_atoms","value":2308,"base":3}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2845,"base":3},"right_expr":{"type":"numeric_atoms","value":5980,"base":3}}}}},"used_operators":["T2fj7uvVaJ","23Mk6UjR3U","7j4O788W3g","xNBdhnnwKq","D4vGDi5EA2","i8ToyICDmI","XhwjNDsVaA","nCS4ZIUYfx","xUOZtlo3hN","XPYlsWDdGa","Nsiff2A1zJ"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4846","layer":4},{"info":"compute unary expreesion, input=4846, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9692","layer":3},{"info":"number node, value=2282","layer":4},{"info":"compute unary expreesion, input=2282, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6846","layer":3},{"info":"compute binary expreesion, left_input=9692, right_input=-6846, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-6846","layer":2},{"info":"number node, value=1333","layer":4},{"info":"number node, value=2936","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=2936, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=7024","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=7024, right_input=2308, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4716","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4716, 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=-6846, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13692","layer":1},{"info":"number node, value=2845","layer":4},{"info":"number node, value=5980","layer":4},{"info":"compute binary expreesion, left_input=2845, right_input=5980, 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":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13692, 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":3,"result_base":3,"text":"((⫏≰20122111⊭∹↮)↺(⫏≰10010112≦≮≮)⋷(⫏≰1211101/⫏≰11000202)∲⫓⫏≰100122011⨳⩥⨓⫏≰10011111)⋓(⨞⊢(⪲⇎⫏≰10220101⊴⫏≰22012111))=NaN","reverse_text":"NaN=((⫏≰20122111⊭∹↮)↺(⫏≰10010112≦≮≮)⋷(⫏≰1211101/⫏≰11000202)∲⫓⫏≰100122011⨳⩥⨓⫏≰10011111)⋓(⨞⊢(⪲⇎⫏≰10220101⊴⫏≰22012111))","cot":[{"info":"⫏≰20122111⊭∹↮=⫏≰111021222","layer":3},{"info":"⫏≰10010112≦≮≮=⫏≰-100101120","layer":3},{"info":"⫏≰111021222↺⫏≰-100101120=⫏≰-100101120","layer":2},{"info":"⫏≰1211101/⫏≰11000202=⫏≰0","layer":3},{"info":"⫏≰100122011⨳⩥⨓⫏≰10011111=⫏≰-20110200","layer":3},{"info":"⫏≰0∲⫓⫏≰-20110200=⫏≰0","layer":2},{"info":"⫏≰-100101120⋷⫏≰0=⫏≰200210010","layer":1},{"info":"⫏≰10220101⊴⫏≰22012111=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⫏≰200210010⋓NaN=NaN","layer":0}]}
{"id":364,"expression_no_base_symbol":"(⫛⫱⨽($3865$∑⇟⊟$4666$))⊭↱$1617$≹⇙⪍$2873$⪢($2989$⫡⨏$5931$)-((↯⪼$5629$)⪒$1031$⋓$1591$)⨸⪁($3297$⪒$9326$)⨪↰⇹($1244$⇋≉)","expression":"(⫛⫱⨽(⫏≰12022011∑⇟⊟⫏≰20101211))⊭↱⫏≰2012220≹⇙⪍⫏≰10221102⪢(⫏≰11002201⫡⨏⫏≰22010200)-((↯⪼⫏≰21201111)⪒⫏≰1102012⋓⫏≰2011221)⨸⪁(⫏≰11112010⪒⫏≰110210102)⨪↰⇹(⫏≰1201002⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41197,"operation_count":14,"complexity_ratio":2942.6428571428573,"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":3865,"base":3},"right_expr":{"type":"numeric_atoms","value":4666,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1617,"base":3},"right_expr":{"type":"numeric_atoms","value":2873,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2989,"base":3},"right_expr":{"type":"numeric_atoms","value":5931,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5629,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1031,"base":3},"right_expr":{"type":"numeric_atoms","value":1591,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3297,"base":3},"right_expr":{"type":"numeric_atoms","value":9326,"base":3}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1244,"base":3}}}}},"used_operators":["rysDP5nf3Z","COABgblf1C","DlLNRPXxWL","U7g4x0WXJJ","dWAJyo7jo9","AHs5Up7iyr","QMFrweE19q","g55IO6H4Gj","f6k1SAg4EE","8jW3W4yZS5","T2fj7uvVaJ","tmPS8pqC7x","XIabStNQrY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3865","layer":4},{"info":"number node, value=4666","layer":4},{"info":"compute binary expreesion, left_input=3865, right_input=4666, 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":"number node, value=1617","layer":4},{"info":"number node, value=2873","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=2873, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2989","layer":4},{"info":"number node, value=5931","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=5931, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27590","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=27590, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=5629","layer":4},{"info":"compute unary expreesion, input=5629, 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=1031","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1591, op_id = T2fj7uvVaJ 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=-21, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=21","layer":2},{"info":"number node, value=3297","layer":4},{"info":"number node, value=9326","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=9326, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12623","layer":3},{"info":"number node, value=1244","layer":4},{"info":"compute unary expreesion, input=1244, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2390","layer":3},{"info":"compute binary expreesion, left_input=-12623, right_input=2390, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=12623","layer":2},{"info":"compute binary expreesion, left_input=21, right_input=12623, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=25288","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=25288, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫛⫱⨽(⫏≰12022011∑⇟⊟⫏≰20101211))⊭↱⫏≰2012220≹⇙⪍⫏≰10221102⪢(⫏≰11002201⫡⨏⫏≰22010200)-((↯⪼⫏≰21201111)⪒⫏≰1102012⋓⫏≰2011221)⨸⪁(⫏≰11112010⪒⫏≰110210102)⨪↰⇹(⫏≰1201002⇋≉)=NaN","reverse_text":"NaN=(⫛⫱⨽(⫏≰12022011∑⇟⊟⫏≰20101211))⊭↱⫏≰2012220≹⇙⪍⫏≰10221102⪢(⫏≰11002201⫡⨏⫏≰22010200)-((↯⪼⫏≰21201111)⪒⫏≰1102012⋓⫏≰2011221)⨸⪁(⫏≰11112010⪒⫏≰110210102)⨪↰⇹(⫏≰1201002⇋≉)","cot":[{"info":"⫏≰12022011∑⇟⊟⫏≰20101211=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⫏≰2012220≹⇙⪍⫏≰10221102=NaN","layer":3},{"info":"⫏≰11002201⫡⨏⫏≰22010200=⫏≰1101211212","layer":3},{"info":"NaN⪢⫏≰1101211212=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"↯⪼⫏≰21201111=⫏≰-210","layer":3},{"info":"⫏≰1102012⋓⫏≰2011221=⫏≰0","layer":3},{"info":"⫏≰-210⪒⫏≰0=⫏≰210","layer":2},{"info":"⫏≰11112010⪒⫏≰110210102=⫏≰-122022112","layer":3},{"info":"⫏≰1201002⇋≉=⫏≰10021112","layer":3},{"info":"⫏≰-122022112⨪↰⇹⫏≰10021112=⫏≰122022112","layer":2},{"info":"⫏≰210⨸⪁⫏≰122022112=⫏≰1021200121","layer":1},{"info":"NaN-⫏≰1021200121=NaN","layer":0}]}
{"id":365,"expression_no_base_symbol":"(($6852$⨓$2286$)⪢(⨑⩽⪐$5635$)≋⫹)⋓($2868$⩷∴$1602$↙$1587$∑⇟⊟$1736$)⨓($1306$+$3228$⪨≂(⫛⫱⨽$2199$))","expression":"((⫏≰100101210⨓⫏≰10010200)⪢(⨑⩽⪐⫏≰21201201)≋⫹)⋓(⫏≰10221020⩷∴⫏≰2012100↙⫏≰2011210∑⇟⊟⫏≰2101022)⨓(⫏≰1210101+⫏≰11102120⪨≂(⫛⫱⨽⫏≰10000110))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18289,"operation_count":12,"complexity_ratio":1524.0833333333333,"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":6852,"base":3},"right_expr":{"type":"numeric_atoms","value":2286,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5635,"base":3}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2868,"base":3},"right_expr":{"type":"numeric_atoms","value":1602,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1587,"base":3},"right_expr":{"type":"numeric_atoms","value":1736,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1306,"base":3},"right_expr":{"type":"numeric_atoms","value":3228,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2199,"base":3}}}}},"used_operators":["T2fj7uvVaJ","N41Kp7NANJ","dWAJyo7jo9","3ViojmjbAp","AF7qkfDlqP","yyfyN0ffXY","9FxExcQeMw","U7g4x0WXJJ","sdazOOVcIp","W4YGzv6Whe","DlLNRPXxWL"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6852","layer":4},{"info":"number node, value=2286","layer":4},{"info":"compute binary expreesion, left_input=6852, right_input=2286, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2289","layer":3},{"info":"number node, value=5635","layer":4},{"info":"compute unary expreesion, input=5635, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5362","layer":3},{"info":"compute binary expreesion, left_input=-2289, right_input=-5362, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=2868","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=2868, right_input=1602, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2500","layer":3},{"info":"number node, value=1587","layer":4},{"info":"number node, value=1736","layer":4},{"info":"compute binary expreesion, left_input=1587, right_input=1736, 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=2500, 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=1306","layer":4},{"info":"number node, value=3228","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=3228, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4534","layer":3},{"info":"number node, value=2199","layer":4},{"info":"compute unary expreesion, input=2199, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4534, 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=9170","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9170, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9173","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9173, op_id = T2fj7uvVaJ 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":3,"result_base":3,"text":"((⫏≰100101210⨓⫏≰10010200)⪢(⨑⩽⪐⫏≰21201201)≋⫹)⋓(⫏≰10221020⩷∴⫏≰2012100↙⫏≰2011210∑⇟⊟⫏≰2101022)⨓(⫏≰1210101+⫏≰11102120⪨≂(⫛⫱⨽⫏≰10000110))=⫏≰0","reverse_text":"⫏≰0=((⫏≰100101210⨓⫏≰10010200)⪢(⨑⩽⪐⫏≰21201201)≋⫹)⋓(⫏≰10221020⩷∴⫏≰2012100↙⫏≰2011210∑⇟⊟⫏≰2101022)⨓(⫏≰1210101+⫏≰11102120⪨≂(⫛⫱⨽⫏≰10000110))","cot":[{"info":"⫏≰100101210⨓⫏≰10010200=⫏≰-10010210","layer":3},{"info":"⨑⩽⪐⫏≰21201201=⫏≰-21100121","layer":3},{"info":"⫏≰-10010210⪢⫏≰-21100121=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⫏≰10221020⩷∴⫏≰2012100=⫏≰10102121","layer":3},{"info":"⫏≰2011210∑⇟⊟⫏≰2101022=NaN","layer":3},{"info":"⫏≰10102121↙NaN=NaN","layer":2},{"info":"⫏≰1210101+⫏≰11102120=⫏≰20012221","layer":3},{"info":"⫛⫱⨽⫏≰10000110=⫏≰0","layer":3},{"info":"⫏≰20012221⪨≂⫏≰0=⫏≰110120122","layer":2},{"info":"NaN⨓⫏≰110120122=⫏≰-110120202","layer":1},{"info":"NaN⋓⫏≰-110120202=⫏≰0","layer":0}]}
{"id":366,"expression_no_base_symbol":"($3874$↙$1506$/$2027$⨰$3318$)⨟⋌⩍(($2143$⨳⩥⨓$6461$)⩚⊴⇥(⇁⨣⪵$3718$))∑⇟⊟((-$6518$)⊭∹↮)⪮%⊝(↩$4316$≧⫂∧$1406$)","expression":"(⫏≰12022111↙⫏≰2001210/⫏≰2210002⨰⫏≰11112220)⨟⋌⩍((⫏≰2221101⨳⩥⨓⫏≰22212022)⩚⊴⇥(⇁⨣⪵⫏≰12002201))∑⇟⊟((-⫏≰22221102)⊭∹↮)⪮%⊝(↩⫏≰12220212≧⫂∧⫏≰1221002)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1555,"operation_count":13,"complexity_ratio":119.61538461538461,"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":3874,"base":3},"right_expr":{"type":"numeric_atoms","value":1506,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2027,"base":3},"right_expr":{"type":"numeric_atoms","value":3318,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2143,"base":3},"right_expr":{"type":"numeric_atoms","value":6461,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3718,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6518,"base":3}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4316,"base":3},"right_expr":{"type":"numeric_atoms","value":1406,"base":3}}}}},"used_operators":["U7g4x0WXJJ","rGHVDoGpnC","XhwjNDsVaA","yyfyN0ffXY","eewbuw0ToL","NTOWxs364D","nCS4ZIUYfx","inkyxCbjAn","IWmyXbctLI","xNBdhnnwKq","t8gj7n24qd","jLgFTUHLKL","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3874","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=3874, right_input=1506, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4518","layer":3},{"info":"number node, value=2027","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=3318, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1281","layer":3},{"info":"compute binary expreesion, left_input=-4518, right_input=-1281, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":2},{"info":"number node, value=2143","layer":4},{"info":"number node, value=6461","layer":4},{"info":"compute binary expreesion, left_input=2143, right_input=6461, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4318","layer":3},{"info":"number node, value=3718","layer":4},{"info":"compute unary expreesion, input=3718, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4318, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', 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":"number node, value=6518","layer":4},{"info":"compute unary expreesion, input=6518, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6518","layer":3},{"info":"compute unary expreesion, input=-6518, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-6518","layer":2},{"info":"number node, value=4316","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=4316, right_input=1406, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=933","layer":3},{"info":"compute unary expreesion, input=933, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-4684","layer":2},{"info":"compute binary expreesion, left_input=-6518, right_input=-4684, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-12720","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12720, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12022111↙⫏≰2001210/⫏≰2210002⨰⫏≰11112220)⨟⋌⩍((⫏≰2221101⨳⩥⨓⫏≰22212022)⩚⊴⇥(⇁⨣⪵⫏≰12002201))∑⇟⊟((-⫏≰22221102)⊭∹↮)⪮%⊝(↩⫏≰12220212≧⫂∧⫏≰1221002)=NaN","reverse_text":"NaN=(⫏≰12022111↙⫏≰2001210/⫏≰2210002⨰⫏≰11112220)⨟⋌⩍((⫏≰2221101⨳⩥⨓⫏≰22212022)⩚⊴⇥(⇁⨣⪵⫏≰12002201))∑⇟⊟((-⫏≰22221102)⊭∹↮)⪮%⊝(↩⫏≰12220212≧⫂∧⫏≰1221002)","cot":[{"info":"⫏≰12022111↙⫏≰2001210=⫏≰-20012100","layer":3},{"info":"⫏≰2210002⨰⫏≰11112220=⫏≰-1202110","layer":3},{"info":"⫏≰-20012100/⫏≰-1202110=⫏≰10","layer":2},{"info":"⫏≰2221101⨳⩥⨓⫏≰22212022=⫏≰12220221","layer":3},{"info":"⇁⨣⪵⫏≰12002201=NaN","layer":3},{"info":"⫏≰12220221⩚⊴⇥NaN=NaN","layer":2},{"info":"⫏≰10⨟⋌⩍NaN=NaN","layer":1},{"info":"-⫏≰22221102=⫏≰-22221102","layer":3},{"info":"⫏≰-22221102⊭∹↮=⫏≰-22221102","layer":2},{"info":"⫏≰12220212≧⫂∧⫏≰1221002=⫏≰1021120","layer":3},{"info":"↩⫏≰1021120=⫏≰-20102111","layer":2},{"info":"⫏≰-22221102⪮%⊝⫏≰-20102111=⫏≰-122110010","layer":1},{"info":"NaN∑⇟⊟⫏≰-122110010=NaN","layer":0}]}
{"id":367,"expression_no_base_symbol":"($6889$⨪↰⇹$5294$≫≃)⨟⋌⩍(≤/$2713$⨓$4770$)∼(($3756$⩨$8878$/(⨵≀≌$1019$))↬($3561$⨰$1914$⨽$2067$⨐⩸⫘$3244$))","expression":"(⫏≰100110011⨪↰⇹⫏≰21021002≫≃)⨟⋌⩍(≤/⫏≰10201111⨓⫏≰20112200)∼((⫏≰12011010⩨⫏≰110011211/(⨵≀≌⫏≰1101202))↬(⫏≰11212220⨰⫏≰2121220⨽⫏≰2211120⨐⩸⫘⫏≰11110011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13360,"operation_count":13,"complexity_ratio":1027.6923076923076,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6889,"base":3},"right_expr":{"type":"numeric_atoms","value":5294,"base":3}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2713,"base":3},"right_expr":{"type":"numeric_atoms","value":4770,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3756,"base":3},"right_expr":{"type":"numeric_atoms","value":8878,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1019,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3561,"base":3},"right_expr":{"type":"numeric_atoms","value":1914,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2067,"base":3},"right_expr":{"type":"numeric_atoms","value":3244,"base":3}}}}},"used_operators":["DyGG3AbaNP","rGHVDoGpnC","X99M06cbEe","tmPS8pqC7x","eLAdDNolq6","3ViojmjbAp","B5M0gjZbta","XhwjNDsVaA","2DlMacCsIx","srAu1WTS94","8HhzD0ZcuI","eewbuw0ToL","fu6greOZ01"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rJVOvQCfKK","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6889","layer":4},{"info":"number node, value=5294","layer":4},{"info":"compute binary expreesion, left_input=6889, right_input=5294, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6889","layer":3},{"info":"compute unary expreesion, input=6889, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=15179","layer":2},{"info":"number node, value=2713","layer":4},{"info":"number node, value=4770","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=4770, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4773","layer":3},{"info":"compute unary expreesion, input=-4773, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=5257","layer":2},{"info":"compute binary expreesion, left_input=15179, right_input=5257, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=3756","layer":4},{"info":"number node, value=8878","layer":4},{"info":"compute binary expreesion, left_input=3756, right_input=8878, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1019","layer":4},{"info":"compute unary expreesion, input=1019, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3057","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-3057, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=3561","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=3561, right_input=1914, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1657","layer":3},{"info":"number node, value=2067","layer":4},{"info":"number node, value=3244","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=3244, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1657, 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=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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰100110011⨪↰⇹⫏≰21021002≫≃)⨟⋌⩍(≤/⫏≰10201111⨓⫏≰20112200)∼((⫏≰12011010⩨⫏≰110011211/(⨵≀≌⫏≰1101202))↬(⫏≰11212220⨰⫏≰2121220⨽⫏≰2211120⨐⩸⫘⫏≰11110011))=NaN","reverse_text":"NaN=(⫏≰100110011⨪↰⇹⫏≰21021002≫≃)⨟⋌⩍(≤/⫏≰10201111⨓⫏≰20112200)∼((⫏≰12011010⩨⫏≰110011211/(⨵≀≌⫏≰1101202))↬(⫏≰11212220⨰⫏≰2121220⨽⫏≰2211120⨐⩸⫘⫏≰11110011))","cot":[{"info":"⫏≰100110011⨪↰⇹⫏≰21021002=⫏≰100110011","layer":3},{"info":"⫏≰100110011≫≃=⫏≰202211012","layer":2},{"info":"⫏≰10201111⨓⫏≰20112200=⫏≰-20112210","layer":3},{"info":"≤/⫏≰-20112210=⫏≰21012201","layer":2},{"info":"⫏≰202211012⨟⋌⩍⫏≰21012201=NaN","layer":1},{"info":"⫏≰12011010⩨⫏≰110011211=⫏≰-20","layer":3},{"info":"⨵≀≌⫏≰1101202=⫏≰-11012020","layer":3},{"info":"⫏≰-20/⫏≰-11012020=⫏≰0","layer":2},{"info":"⫏≰11212220⨰⫏≰2121220=⫏≰2021101","layer":3},{"info":"⫏≰2211120⨐⩸⫘⫏≰11110011=NaN","layer":3},{"info":"⫏≰2021101⨽NaN=NaN","layer":2},{"info":"⫏≰0↬NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":368,"expression_no_base_symbol":"(⨞⊢(↥(⊄⩳↩$3762$)))⨪↰⇹($1324$⪮%⊝$2512$⊭↱$1485$∑⇟⊟$6319$)↬(($6310$⨸⪁$5957$)≫≃)","expression":"(⨞⊢(↥(⊄⩳↩⫏≰12011100)))⨪↰⇹(⫏≰1211001⪮%⊝⫏≰10110001⊭↱⫏≰2001000∑⇟⊟⫏≰22200001)↬((⫏≰22122201⨸⪁⫏≰22011122)≫≃)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":463,"operation_count":10,"complexity_ratio":46.3,"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":3762,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1324,"base":3},"right_expr":{"type":"numeric_atoms","value":2512,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1485,"base":3},"right_expr":{"type":"numeric_atoms","value":6319,"base":3}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6310,"base":3},"right_expr":{"type":"numeric_atoms","value":5957,"base":3}}}}},"used_operators":["tmPS8pqC7x","xUOZtlo3hN","A8NUZmVepG","8w2t5hMYqp","B5M0gjZbta","COABgblf1C","IWmyXbctLI","U7g4x0WXJJ","X99M06cbEe","g55IO6H4Gj"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe"],"result":"⫏≰-21210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3762","layer":4},{"info":"compute unary expreesion, input=3762, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11286","layer":3},{"info":"compute unary expreesion, input=-11286, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=36","layer":2},{"info":"compute unary expreesion, input=36, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-210","layer":1},{"info":"number node, value=1324","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=2512, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2964","layer":3},{"info":"number node, value=1485","layer":4},{"info":"number node, value=6319","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=6319, 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=2964, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=6310","layer":4},{"info":"number node, value=5957","layer":4},{"info":"compute binary expreesion, left_input=6310, right_input=5957, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=24534","layer":3},{"info":"compute unary expreesion, input=24534, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=50469","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=50469, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-210, 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=-210","layer":0}],"base":3,"result_base":3,"text":"(⨞⊢(↥(⊄⩳↩⫏≰12011100)))⨪↰⇹(⫏≰1211001⪮%⊝⫏≰10110001⊭↱⫏≰2001000∑⇟⊟⫏≰22200001)↬((⫏≰22122201⨸⪁⫏≰22011122)≫≃)=⫏≰-21210","reverse_text":"⫏≰-21210=(⨞⊢(↥(⊄⩳↩⫏≰12011100)))⨪↰⇹(⫏≰1211001⪮%⊝⫏≰10110001⊭↱⫏≰2001000∑⇟⊟⫏≰22200001)↬((⫏≰22122201⨸⪁⫏≰22011122)≫≃)","cot":[{"info":"⊄⩳↩⫏≰12011100=⫏≰-120111000","layer":3},{"info":"↥⫏≰-120111000=⫏≰1100","layer":2},{"info":"⨞⊢⫏≰1100=⫏≰-21210","layer":1},{"info":"⫏≰1211001⪮%⊝⫏≰10110001=⫏≰11001210","layer":3},{"info":"⫏≰2001000∑⇟⊟⫏≰22200001=NaN","layer":3},{"info":"⫏≰11001210⊭↱NaN=NaN","layer":2},{"info":"⫏≰22122201⨸⪁⫏≰22011122=⫏≰1020122200","layer":3},{"info":"⫏≰1020122200≫≃=⫏≰2120020020","layer":2},{"info":"NaN↬⫏≰2120020020=NaN","layer":1},{"info":"⫏≰-21210⨪↰⇹NaN=⫏≰-21210","layer":0}]}
{"id":369,"expression_no_base_symbol":"($2270$⪘⫢$3631$⩷∴($1062$+⇶⊼$2780$)⪒$2498$⪘⫢$1887$≧⫂∧(↩$1057$))∀⇚≩(⪲⇎(⊙↵-$1007$))⪛(($1139$⨪↰⇹$4081$)⨪↰⇹$1139$⨪↰⇹$2030$)","expression":"(⫏≰10010002⪘⫢⫏≰11222111⩷∴(⫏≰1110100+⇶⊼⫏≰10210222)⪒⫏≰10102112⪘⫢⫏≰2120220≧⫂∧(↩⫏≰1110011))∀⇚≩(⪲⇎(⊙↵-⫏≰1101022))⪛((⫏≰1120012⨪↰⇹⫏≰12121011)⨪↰⇹⫏≰1120012⨪↰⇹⫏≰2210012)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4535,"operation_count":14,"complexity_ratio":323.92857142857144,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2270,"base":3},"right_expr":{"type":"numeric_atoms","value":3631,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1062,"base":3},"right_expr":{"type":"numeric_atoms","value":2780,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2498,"base":3},"right_expr":{"type":"numeric_atoms","value":1887,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1057,"base":3}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1007,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1139,"base":3},"right_expr":{"type":"numeric_atoms","value":4081,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1139,"base":3},"right_expr":{"type":"numeric_atoms","value":2030,"base":3}}}}},"used_operators":["LRNGc0VcxI","f6k1SAg4EE","9FxExcQeMw","oacrs7FA3X","TpPTUOHfaN","Ph9nP6C5qx","jLgFTUHLKL","uFcxV4UQCh","XPYlsWDdGa","oWn0xqSxBt","tmPS8pqC7x"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2270","layer":4},{"info":"number node, value=3631","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=3631, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4416","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=2780","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=2780, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4416, 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=2498","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=1887, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4872","layer":3},{"info":"number node, value=1057","layer":4},{"info":"compute unary expreesion, input=1057, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5676","layer":3},{"info":"compute binary expreesion, left_input=4872, right_input=-5676, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=10548","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10548, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-2","layer":2},{"info":"number node, value=1139","layer":4},{"info":"number node, value=4081","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=4081, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1139","layer":3},{"info":"number node, value=1139","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=2030, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1139","layer":3},{"info":"compute binary expreesion, left_input=1139, right_input=1139, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1139","layer":2},{"info":"compute binary expreesion, left_input=-2, right_input=1139, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1137","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1137, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":3,"result_base":3,"text":"(⫏≰10010002⪘⫢⫏≰11222111⩷∴(⫏≰1110100+⇶⊼⫏≰10210222)⪒⫏≰10102112⪘⫢⫏≰2120220≧⫂∧(↩⫏≰1110011))∀⇚≩(⪲⇎(⊙↵-⫏≰1101022))⪛((⫏≰1120012⨪↰⇹⫏≰12121011)⨪↰⇹⫏≰1120012⨪↰⇹⫏≰2210012)=NaN","reverse_text":"NaN=(⫏≰10010002⪘⫢⫏≰11222111⩷∴(⫏≰1110100+⇶⊼⫏≰10210222)⪒⫏≰10102112⪘⫢⫏≰2120220≧⫂∧(↩⫏≰1110011))∀⇚≩(⪲⇎(⊙↵-⫏≰1101022))⪛((⫏≰1120012⨪↰⇹⫏≰12121011)⨪↰⇹⫏≰1120012⨪↰⇹⫏≰2210012)","cot":[{"info":"⫏≰10010002⪘⫢⫏≰11222111=⫏≰20001120","layer":3},{"info":"⫏≰1110100+⇶⊼⫏≰10210222=NaN","layer":3},{"info":"⫏≰20001120⩷∴NaN=NaN","layer":2},{"info":"⫏≰10102112⪘⫢⫏≰2120220=⫏≰20200110","layer":3},{"info":"↩⫏≰1110011=⫏≰-21210020","layer":3},{"info":"⫏≰20200110≧⫂∧⫏≰-21210020=⫏≰112110200","layer":2},{"info":"NaN⪒⫏≰112110200=NaN","layer":1},{"info":"⊙↵-⫏≰1101022=⫏≰-1","layer":3},{"info":"⪲⇎⫏≰-1=⫏≰-2","layer":2},{"info":"⫏≰1120012⨪↰⇹⫏≰12121011=⫏≰1120012","layer":3},{"info":"⫏≰1120012⨪↰⇹⫏≰2210012=⫏≰1120012","layer":3},{"info":"⫏≰1120012⨪↰⇹⫏≰1120012=⫏≰1120012","layer":2},{"info":"⫏≰-2⪛⫏≰1120012=⫏≰1120010","layer":1},{"info":"NaN∀⇚≩⫏≰1120010=NaN","layer":0}]}
{"id":370,"expression_no_base_symbol":"((∂(≤/$1107$))%$2014$⪮%⊝$1043$⩚⊴⇥($1574$⊭↱$1150$))⩷∴($1098$⋝⋈⪟$4554$⋳⪒($7872$⊪)⪒$2052$⩷∴$2925$⩨($5154$⨵⪆$1511$))","expression":"((∂(≤/⫏≰1112000))%⫏≰2202121⪮%⊝⫏≰1102122⩚⊴⇥(⫏≰2011022⊭↱⫏≰1120121))⩷∴(⫏≰1111200⋝⋈⪟⫏≰20020200⋳⪒(⫏≰101210120⊪)⪒⫏≰2211000⩷∴⫏≰11000100⩨(⫏≰21001220⨵⪆⫏≰2001222))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":500,"operation_count":14,"complexity_ratio":35.714285714285715,"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":1107,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2014,"base":3},"right_expr":{"type":"numeric_atoms","value":1043,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1574,"base":3},"right_expr":{"type":"numeric_atoms","value":1150,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1098,"base":3},"right_expr":{"type":"numeric_atoms","value":4554,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":7872,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2052,"base":3},"right_expr":{"type":"numeric_atoms","value":2925,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5154,"base":3},"right_expr":{"type":"numeric_atoms","value":1511,"base":3}}}}},"used_operators":["9FxExcQeMw","k8jYdgA6NY","Uaa54Peajs","eLAdDNolq6","NTOWxs364D","IWmyXbctLI","COABgblf1C","f6k1SAg4EE","12rbrZMWeM","2DDjHMKMc0","zVYPLywUTj","2DlMacCsIx","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-10202021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-623","layer":3},{"info":"compute unary expreesion, input=-623, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=359","layer":2},{"info":"number node, value=2014","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=2014, right_input=1043, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4344","layer":3},{"info":"number node, value=1574","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=1150, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-843","layer":3},{"info":"compute binary expreesion, left_input=4344, right_input=-843, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3622","layer":2},{"info":"compute binary expreesion, left_input=359, right_input=-3622, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-3263","layer":1},{"info":"number node, value=1098","layer":4},{"info":"number node, value=4554","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=4554, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1098","layer":3},{"info":"number node, value=7872","layer":4},{"info":"compute unary expreesion, input=7872, 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=1098, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1909","layer":2},{"info":"number node, value=2052","layer":4},{"info":"number node, value=2925","layer":4},{"info":"compute binary expreesion, left_input=2052, right_input=2925, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1778","layer":3},{"info":"number node, value=5154","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=5154, right_input=1511, 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=-1778, right_input=160, 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=1909, right_input=3, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1912","layer":1},{"info":"compute binary expreesion, left_input=-3263, right_input=-1912, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2734","layer":0}],"base":3,"result_base":3,"text":"((∂(≤/⫏≰1112000))%⫏≰2202121⪮%⊝⫏≰1102122⩚⊴⇥(⫏≰2011022⊭↱⫏≰1120121))⩷∴(⫏≰1111200⋝⋈⪟⫏≰20020200⋳⪒(⫏≰101210120⊪)⪒⫏≰2211000⩷∴⫏≰11000100⩨(⫏≰21001220⨵⪆⫏≰2001222))=⫏≰-10202021","reverse_text":"⫏≰-10202021=((∂(≤/⫏≰1112000))%⫏≰2202121⪮%⊝⫏≰1102122⩚⊴⇥(⫏≰2011022⊭↱⫏≰1120121))⩷∴(⫏≰1111200⋝⋈⪟⫏≰20020200⋳⪒(⫏≰101210120⊪)⪒⫏≰2211000⩷∴⫏≰11000100⩨(⫏≰21001220⨵⪆⫏≰2001222))","cot":[{"info":"≤/⫏≰1112000=⫏≰-212002","layer":3},{"info":"∂⫏≰-212002=⫏≰111022","layer":2},{"info":"⫏≰2202121⪮%⊝⫏≰1102122=⫏≰12221220","layer":3},{"info":"⫏≰2011022⊭↱⫏≰1120121=⫏≰-1011020","layer":3},{"info":"⫏≰12221220⩚⊴⇥⫏≰-1011020=⫏≰-11222011","layer":2},{"info":"⫏≰111022%⫏≰-11222011=⫏≰-11110212","layer":1},{"info":"⫏≰1111200⋝⋈⪟⫏≰20020200=⫏≰1111200","layer":3},{"info":"⫏≰101210120⊪=⫏≰0","layer":3},{"info":"⫏≰1111200⋳⪒⫏≰0=⫏≰2121201","layer":2},{"info":"⫏≰2211000⩷∴⫏≰11000100=⫏≰-2102212","layer":3},{"info":"⫏≰21001220⨵⪆⫏≰2001222=⫏≰12221","layer":3},{"info":"⫏≰-2102212⩨⫏≰12221=⫏≰10","layer":2},{"info":"⫏≰2121201⪒⫏≰10=⫏≰-2121211","layer":1},{"info":"⫏≰-11110212⩷∴⫏≰-2121211=⫏≰-10202021","layer":0}]}
{"id":371,"expression_no_base_symbol":"(⨑⩽⪐($3189$⨓$4055$⨵⪆($1637$+$4778$)))⪄(⊙↵-(⊥$3566$))⩚⊴⇥(↩(⨵≀≌$5038$))","expression":"(⨑⩽⪐(⫏≰11101010⨓⫏≰12120012⨵⪆(⫏≰2020122+⫏≰20112222)))⪄(⊙↵-(⊥⫏≰11220002))⩚⊴⇥(↩(⨵≀≌⫏≰20220121))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4215,"operation_count":10,"complexity_ratio":421.5,"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":3189,"base":3},"right_expr":{"type":"numeric_atoms","value":4055,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1637,"base":3},"right_expr":{"type":"numeric_atoms","value":4778,"base":3}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3566,"base":3}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5038,"base":3}}}}},"used_operators":["SUmda5xLS4","AF7qkfDlqP","2DQ55sFlQl","3ViojmjbAp","W4YGzv6Whe","NTOWxs364D","oWn0xqSxBt","Q3PJZHRvZv","jLgFTUHLKL","srAu1WTS94"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","fu6greOZ01","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3189","layer":4},{"info":"number node, value=4055","layer":4},{"info":"compute binary expreesion, left_input=3189, right_input=4055, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4058","layer":3},{"info":"number node, value=1637","layer":4},{"info":"number node, value=4778","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=4778, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6415","layer":3},{"info":"compute binary expreesion, left_input=-4058, right_input=6415, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=113","layer":1},{"info":"number node, value=3566","layer":4},{"info":"compute unary expreesion, input=3566, op_id = Q3PJZHRvZv, 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":"number node, value=5038","layer":4},{"info":"compute unary expreesion, input=5038, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15114","layer":3},{"info":"compute unary expreesion, input=-15114, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=63076","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=63076, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=113, 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":3,"result_base":3,"text":"(⨑⩽⪐(⫏≰11101010⨓⫏≰12120012⨵⪆(⫏≰2020122+⫏≰20112222)))⪄(⊙↵-(⊥⫏≰11220002))⩚⊴⇥(↩(⨵≀≌⫏≰20220121))=NaN","reverse_text":"NaN=(⨑⩽⪐(⫏≰11101010⨓⫏≰12120012⨵⪆(⫏≰2020122+⫏≰20112222)))⪄(⊙↵-(⊥⫏≰11220002))⩚⊴⇥(↩(⨵≀≌⫏≰20220121))","cot":[{"info":"⫏≰11101010⨓⫏≰12120012=⫏≰-12120022","layer":3},{"info":"⫏≰2020122+⫏≰20112222=⫏≰22210121","layer":3},{"info":"⫏≰-12120022⨵⪆⫏≰22210121=⫏≰12221","layer":2},{"info":"⨑⩽⪐⫏≰12221=⫏≰11012","layer":1},{"info":"⊥⫏≰11220002=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⨵≀≌⫏≰20220121=⫏≰-202201210","layer":3},{"info":"↩⫏≰-202201210=⫏≰10012112011","layer":2},{"info":"NaN⩚⊴⇥⫏≰10012112011=NaN","layer":1},{"info":"⫏≰11012⪄NaN=NaN","layer":0}]}
{"id":372,"expression_no_base_symbol":"($7285$⇼⇔∾$3956$)⨓($3922$⫸⊐$5228$)⪄($3382$⨸⪁$2460$)⩷∴($1434$⋷$4484$)+($1122$⇷$1565$)↬(↯⪼$4840$)⪒(⋗⩬⋾$1016$)≭($4440$≫≃)","expression":"(⫏≰100222211⇼⇔∾⫏≰12102112)⨓(⫏≰12101021⫸⊐⫏≰21011122)⪄(⫏≰11122021⨸⪁⫏≰10101010)⩷∴(⫏≰1222010⋷⫏≰20011002)+(⫏≰1112120⇷⫏≰2010222)↬(↯⪼⫏≰20122021)⪒(⋗⩬⋾⫏≰1101122)≭(⫏≰20002110≫≃)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":36685,"operation_count":15,"complexity_ratio":2445.6666666666665,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7285,"base":3},"right_expr":{"type":"numeric_atoms","value":3956,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3922,"base":3},"right_expr":{"type":"numeric_atoms","value":5228,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3382,"base":3},"right_expr":{"type":"numeric_atoms","value":2460,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1434,"base":3},"right_expr":{"type":"numeric_atoms","value":4484,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1122,"base":3},"right_expr":{"type":"numeric_atoms","value":1565,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4840,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1016,"base":3}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4440,"base":3}}}}},"used_operators":["W4YGzv6Whe","SUmda5xLS4","3ViojmjbAp","tifHPKVTfV","mqXw5SEYmG","9FxExcQeMw","g55IO6H4Gj","23Mk6UjR3U","f6k1SAg4EE","B5M0gjZbta","mp7IySMOzn","8jW3W4yZS5","rxpJgHHUmx","DpFCA1CohY","X99M06cbEe"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7285","layer":4},{"info":"number node, value=3956","layer":4},{"info":"compute binary expreesion, left_input=7285, right_input=3956, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3329","layer":3},{"info":"number node, value=3922","layer":4},{"info":"number node, value=5228","layer":4},{"info":"compute binary expreesion, left_input=3922, right_input=5228, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20787","layer":3},{"info":"compute binary expreesion, left_input=-3329, right_input=20787, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-20790","layer":2},{"info":"number node, value=3382","layer":4},{"info":"number node, value=2460","layer":4},{"info":"compute binary expreesion, left_input=3382, right_input=2460, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11684","layer":3},{"info":"number node, value=1434","layer":4},{"info":"number node, value=4484","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=4484, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7534","layer":3},{"info":"compute binary expreesion, left_input=11684, right_input=7534, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8268","layer":2},{"info":"compute binary expreesion, left_input=-20790, right_input=8268, 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=1122","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=1565, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3130","layer":3},{"info":"number node, value=4840","layer":4},{"info":"compute unary expreesion, input=4840, 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=3130, 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":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3048","layer":3},{"info":"number node, value=4440","layer":4},{"info":"compute unary expreesion, input=4440, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10281","layer":3},{"info":"compute binary expreesion, left_input=-3048, right_input=10281, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰100222211⇼⇔∾⫏≰12102112)⨓(⫏≰12101021⫸⊐⫏≰21011122)⪄(⫏≰11122021⨸⪁⫏≰10101010)⩷∴(⫏≰1222010⋷⫏≰20011002)+(⫏≰1112120⇷⫏≰2010222)↬(↯⪼⫏≰20122021)⪒(⋗⩬⋾⫏≰1101122)≭(⫏≰20002110≫≃)=NaN","reverse_text":"NaN=(⫏≰100222211⇼⇔∾⫏≰12102112)⨓(⫏≰12101021⫸⊐⫏≰21011122)⪄(⫏≰11122021⨸⪁⫏≰10101010)⩷∴(⫏≰1222010⋷⫏≰20011002)+(⫏≰1112120⇷⫏≰2010222)↬(↯⪼⫏≰20122021)⪒(⋗⩬⋾⫏≰1101122)≭(⫏≰20002110≫≃)","cot":[{"info":"⫏≰100222211⇼⇔∾⫏≰12102112=⫏≰-11120022","layer":3},{"info":"⫏≰12101021⫸⊐⫏≰21011122=⫏≰1001111220","layer":3},{"info":"⫏≰-11120022⨓⫏≰1001111220=⫏≰-1001112000","layer":2},{"info":"⫏≰11122021⨸⪁⫏≰10101010=⫏≰121000202","layer":3},{"info":"⫏≰1222010⋷⫏≰20011002=⫏≰101100001","layer":3},{"info":"⫏≰121000202⩷∴⫏≰101100001=⫏≰102100020","layer":2},{"info":"⫏≰-1001112000⪄⫏≰102100020=⫏≰12110101","layer":1},{"info":"⫏≰1112120⇷⫏≰2010222=⫏≰11021221","layer":3},{"info":"↯⪼⫏≰20122021=⫏≰-210","layer":3},{"info":"⫏≰11021221↬⫏≰-210=NaN","layer":2},{"info":"⋗⩬⋾⫏≰1101122=⫏≰-11011220","layer":3},{"info":"⫏≰20002110≫≃=⫏≰112002210","layer":3},{"info":"⫏≰-11011220≭⫏≰112002210=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⫏≰12110101+NaN=NaN","layer":0}]}
{"id":373,"expression_no_base_symbol":"(($1069$≧⫂∧$2017$)∼(≉$2367$)↺($1175$⨪↰⇹$4785$↙$7630$∑⇟⊟$1630$))⨐⩸⫘((⨵≀≌$3193$)+$7169$⨎$3501$)⨪↰⇹(($6214$⨳⩥⨓$2381$)+⇶⊼($2481$⊭↱$2341$))","expression":"((⫏≰1110121≧⫂∧⫏≰2202201)∼(≉⫏≰10020200)↺(⫏≰1121112⨪↰⇹⫏≰20120020↙⫏≰101110121∑⇟⊟⫏≰2020101))⨐⩸⫘((⨵≀≌⫏≰11101021)+⫏≰100211112⨎⫏≰11210200)⨪↰⇹((⫏≰22112011⨳⩥⨓⫏≰10021012)+⇶⊼(⫏≰10101220⊭↱⫏≰10012201))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7311,"operation_count":15,"complexity_ratio":487.4,"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":1069,"base":3},"right_expr":{"type":"numeric_atoms","value":2017,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2367,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1175,"base":3},"right_expr":{"type":"numeric_atoms","value":4785,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7630,"base":3},"right_expr":{"type":"numeric_atoms","value":1630,"base":3}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3193,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7169,"base":3},"right_expr":{"type":"numeric_atoms","value":3501,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6214,"base":3},"right_expr":{"type":"numeric_atoms","value":2381,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2481,"base":3},"right_expr":{"type":"numeric_atoms","value":2341,"base":3}}}}},"used_operators":["fu6greOZ01","7j4O788W3g","DyGG3AbaNP","Ph9nP6C5qx","e1ybzncUwg","yyfyN0ffXY","tmPS8pqC7x","U7g4x0WXJJ","W4YGzv6Whe","srAu1WTS94","rJVOvQCfKK","TpPTUOHfaN","nCS4ZIUYfx","COABgblf1C"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1069","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=2017, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1544","layer":3},{"info":"number node, value=2367","layer":4},{"info":"compute unary expreesion, input=2367, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2898","layer":3},{"info":"compute binary expreesion, left_input=1544, right_input=2898, 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=1175","layer":4},{"info":"number node, value=4785","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=4785, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1175","layer":3},{"info":"number node, value=7630","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=7630, right_input=1630, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1175, right_input=nan, 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 = 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=3193","layer":4},{"info":"compute unary expreesion, input=3193, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9579","layer":3},{"info":"number node, value=7169","layer":4},{"info":"number node, value=3501","layer":4},{"info":"compute binary expreesion, left_input=7169, right_input=3501, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3501","layer":3},{"info":"compute binary expreesion, left_input=-9579, right_input=3501, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-6078","layer":2},{"info":"number node, value=6214","layer":4},{"info":"number node, value=2381","layer":4},{"info":"compute binary expreesion, left_input=6214, right_input=2381, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3833","layer":3},{"info":"number node, value=2481","layer":4},{"info":"number node, value=2341","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=2341, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-275","layer":3},{"info":"compute binary expreesion, left_input=-3833, right_input=-275, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-6078, 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=-6078","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6078, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":3,"result_base":3,"text":"((⫏≰1110121≧⫂∧⫏≰2202201)∼(≉⫏≰10020200)↺(⫏≰1121112⨪↰⇹⫏≰20120020↙⫏≰101110121∑⇟⊟⫏≰2020101))⨐⩸⫘((⨵≀≌⫏≰11101021)+⫏≰100211112⨎⫏≰11210200)⨪↰⇹((⫏≰22112011⨳⩥⨓⫏≰10021012)+⇶⊼(⫏≰10101220⊭↱⫏≰10012201))=NaN","reverse_text":"NaN=((⫏≰1110121≧⫂∧⫏≰2202201)∼(≉⫏≰10020200)↺(⫏≰1121112⨪↰⇹⫏≰20120020↙⫏≰101110121∑⇟⊟⫏≰2020101))⨐⩸⫘((⨵≀≌⫏≰11101021)+⫏≰100211112⨎⫏≰11210200)⨪↰⇹((⫏≰22112011⨳⩥⨓⫏≰10021012)+⇶⊼(⫏≰10101220⊭↱⫏≰10012201))","cot":[{"info":"⫏≰1110121≧⫂∧⫏≰2202201=⫏≰2010012","layer":3},{"info":"≉⫏≰10020200=⫏≰10222100","layer":3},{"info":"⫏≰2010012∼⫏≰10222100=NaN","layer":2},{"info":"⫏≰1121112⨪↰⇹⫏≰20120020=⫏≰1121112","layer":3},{"info":"⫏≰101110121∑⇟⊟⫏≰2020101=NaN","layer":3},{"info":"⫏≰1121112↙NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⨵≀≌⫏≰11101021=⫏≰-111010210","layer":3},{"info":"⫏≰100211112⨎⫏≰11210200=⫏≰11210200","layer":3},{"info":"⫏≰-111010210+⫏≰11210200=⫏≰-22100010","layer":2},{"info":"⫏≰22112011⨳⩥⨓⫏≰10021012=⫏≰-12020222","layer":3},{"info":"⫏≰10101220⊭↱⫏≰10012201=⫏≰-101012","layer":3},{"info":"⫏≰-12020222+⇶⊼⫏≰-101012=NaN","layer":2},{"info":"⫏≰-22100010⨪↰⇹NaN=⫏≰-22100010","layer":1},{"info":"NaN⨐⩸⫘⫏≰-22100010=NaN","layer":0}]}
{"id":374,"expression_no_base_symbol":"↩(($6961$⨎$6065$)⪢($2783$⊉≛↸$3008$))⨟⋌⩍(≤/$2918$)⊴($1475$⨽$1340$)","expression":"↩((⫏≰100112211⨎⫏≰22022122)⪢(⫏≰10211002⊉≛↸⫏≰11010102))⨟⋌⩍(≤/⫏≰11000002)⊴(⫏≰2000122⨽⫏≰1211122)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16493,"operation_count":8,"complexity_ratio":2061.625,"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":6961,"base":3},"right_expr":{"type":"numeric_atoms","value":6065,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2783,"base":3},"right_expr":{"type":"numeric_atoms","value":3008,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2918,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1475,"base":3},"right_expr":{"type":"numeric_atoms","value":1340,"base":3}}}}},"used_operators":["jLgFTUHLKL","rGHVDoGpnC","dWAJyo7jo9","rJVOvQCfKK","DZ8iAZOCBD","Nsiff2A1zJ","eLAdDNolq6","8HhzD0ZcuI"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Tcnh7f0tEr","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6961","layer":4},{"info":"number node, value=6065","layer":4},{"info":"compute binary expreesion, left_input=6961, right_input=6065, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6065","layer":3},{"info":"number node, value=2783","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=3008, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5566","layer":3},{"info":"compute binary expreesion, left_input=6065, right_input=5566, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2918","layer":4},{"info":"compute unary expreesion, input=2918, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2434","layer":3},{"info":"number node, value=1475","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=1475, right_input=1340, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6529581","layer":3},{"info":"compute binary expreesion, left_input=-2434, right_input=-6529581, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↩((⫏≰100112211⨎⫏≰22022122)⪢(⫏≰10211002⊉≛↸⫏≰11010102))⨟⋌⩍(≤/⫏≰11000002)⊴(⫏≰2000122⨽⫏≰1211122)=NaN","reverse_text":"NaN=↩((⫏≰100112211⨎⫏≰22022122)⪢(⫏≰10211002⊉≛↸⫏≰11010102))⨟⋌⩍(≤/⫏≰11000002)⊴(⫏≰2000122⨽⫏≰1211122)","cot":[{"info":"⫏≰100112211⨎⫏≰22022122=⫏≰22022122","layer":3},{"info":"⫏≰10211002⊉≛↸⫏≰11010102=⫏≰21122011","layer":3},{"info":"⫏≰22022122⪢⫏≰21122011=NaN","layer":2},{"info":"≤/⫏≰11000002=⫏≰-10100011","layer":3},{"info":"⫏≰2000122⨽⫏≰1211122=⫏≰-110021201220100","layer":3},{"info":"⫏≰-10100011⊴⫏≰-110021201220100=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":375,"expression_no_base_symbol":"(($1133$⋷$1001$)⊉≛↸(≉$2823$))⨐⩸⫘(($6577$⨵⪆$1619$)⪒$2373$↙$1884$)⊉≛↸(((⨞⊢$5580$)⨁⊸⫻)∸)","expression":"((⫏≰1112222⋷⫏≰1101002)⊉≛↸(≉⫏≰10212120))⨐⩸⫘((⫏≰100000121⨵⪆⫏≰2012222)⪒⫏≰10020220↙⫏≰2120210)⊉≛↸(((⨞⊢⫏≰21122200)⨁⊸⫻)∸)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2083,"operation_count":11,"complexity_ratio":189.36363636363637,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1133,"base":3},"right_expr":{"type":"numeric_atoms","value":1001,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2823,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6577,"base":3},"right_expr":{"type":"numeric_atoms","value":1619,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2373,"base":3},"right_expr":{"type":"numeric_atoms","value":1884,"base":3}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5580,"base":3}}}}},"used_operators":["DZ8iAZOCBD","fu6greOZ01","23Mk6UjR3U","e1ybzncUwg","f6k1SAg4EE","2DQ55sFlQl","yyfyN0ffXY","o20kRiQErp","glklzrTFfD","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1133","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=1001, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=869","layer":3},{"info":"number node, value=2823","layer":4},{"info":"compute unary expreesion, input=2823, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3354","layer":3},{"info":"compute binary expreesion, left_input=869, right_input=3354, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1738","layer":2},{"info":"number node, value=6577","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=6577, right_input=1619, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2373","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=2373, right_input=1884, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5652","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5652, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=5492","layer":2},{"info":"compute binary expreesion, left_input=1738, right_input=5492, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5580","layer":4},{"info":"compute unary expreesion, input=5580, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5754","layer":3},{"info":"compute unary expreesion, input=-5754, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-11508","layer":2},{"info":"compute unary expreesion, input=-11508, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1112222⋷⫏≰1101002)⊉≛↸(≉⫏≰10212120))⨐⩸⫘((⫏≰100000121⨵⪆⫏≰2012222)⪒⫏≰10020220↙⫏≰2120210)⊉≛↸(((⨞⊢⫏≰21122200)⨁⊸⫻)∸)=NaN","reverse_text":"NaN=((⫏≰1112222⋷⫏≰1101002)⊉≛↸(≉⫏≰10212120))⨐⩸⫘((⫏≰100000121⨵⪆⫏≰2012222)⪒⫏≰10020220↙⫏≰2120210)⊉≛↸(((⨞⊢⫏≰21122200)⨁⊸⫻)∸)","cot":[{"info":"⫏≰1112222⋷⫏≰1101002=⫏≰1012012","layer":3},{"info":"≉⫏≰10212120=⫏≰11121020","layer":3},{"info":"⫏≰1012012⊉≛↸⫏≰11121020=⫏≰2101101","layer":2},{"info":"⫏≰100000121⨵⪆⫏≰2012222=⫏≰12221","layer":3},{"info":"⫏≰10020220↙⫏≰2120210=⫏≰-21202100","layer":3},{"info":"⫏≰12221⪒⫏≰-21202100=⫏≰21112102","layer":2},{"info":"⫏≰2101101⨐⩸⫘⫏≰21112102=NaN","layer":1},{"info":"⨞⊢⫏≰21122200=⫏≰-21220010","layer":3},{"info":"⫏≰-21220010⨁⊸⫻=⫏≰-120210020","layer":2},{"info":"⫏≰-120210020∸=⫏≰20120","layer":1},{"info":"NaN⊉≛↸⫏≰20120=NaN","layer":0}]}
{"id":376,"expression_no_base_symbol":"(($1720$⊭↱$3950$)+⇶⊼(∂$3796$)⪨≂($6607$⋓$1546$⊦⊿))↺(⨵≀≌($1339$⪒$2722$)≹⇙⪍(↣≠⋷$1446$))","expression":"((⫏≰2100201⊭↱⫏≰12102022)+⇶⊼(∂⫏≰12012121)⪨≂(⫏≰100001201⋓⫏≰2010021⊦⊿))↺(⨵≀≌(⫏≰1211121⪒⫏≰10201211)≹⇙⪍(↣≠⋷⫏≰1222120))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":44,"operation_count":11,"complexity_ratio":4.0,"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":1720,"base":3},"right_expr":{"type":"numeric_atoms","value":3950,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3796,"base":3}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6607,"base":3},"right_expr":{"type":"numeric_atoms","value":1546,"base":3}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1339,"base":3},"right_expr":{"type":"numeric_atoms","value":2722,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1446,"base":3}}}}},"used_operators":["7j4O788W3g","sdazOOVcIp","TpPTUOHfaN","COABgblf1C","Uaa54Peajs","14qkJME0vr","T2fj7uvVaJ","srAu1WTS94","AHs5Up7iyr","f6k1SAg4EE","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1720","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=3950, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4465","layer":3},{"info":"number node, value=3796","layer":4},{"info":"compute unary expreesion, input=3796, 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=4465, 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=6607","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=6607, right_input=1546, op_id = T2fj7uvVaJ 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-79, op_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=1339","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=2722, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4061","layer":3},{"info":"number node, value=1446","layer":4},{"info":"compute unary expreesion, input=1446, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4061, 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 = 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=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":3,"result_base":3,"text":"((⫏≰2100201⊭↱⫏≰12102022)+⇶⊼(∂⫏≰12012121)⪨≂(⫏≰100001201⋓⫏≰2010021⊦⊿))↺(⨵≀≌(⫏≰1211121⪒⫏≰10201211)≹⇙⪍(↣≠⋷⫏≰1222120))=NaN","reverse_text":"NaN=((⫏≰2100201⊭↱⫏≰12102022)+⇶⊼(∂⫏≰12012121)⪨≂(⫏≰100001201⋓⫏≰2010021⊦⊿))↺(⨵≀≌(⫏≰1211121⪒⫏≰10201211)≹⇙⪍(↣≠⋷⫏≰1222120))","cot":[{"info":"⫏≰2100201⊭↱⫏≰12102022=⫏≰20010101","layer":3},{"info":"∂⫏≰12012121=NaN","layer":3},{"info":"⫏≰20010101+⇶⊼NaN=NaN","layer":2},{"info":"⫏≰100001201⋓⫏≰2010021=⫏≰0","layer":3},{"info":"⫏≰0⊦⊿=⫏≰-2221","layer":2},{"info":"NaN⪨≂⫏≰-2221=NaN","layer":1},{"info":"⫏≰1211121⪒⫏≰10201211=⫏≰-12120102","layer":3},{"info":"↣≠⋷⫏≰1222120=NaN","layer":3},{"info":"⫏≰-12120102≹⇙⪍NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":377,"expression_no_base_symbol":"(⩦⩻⨪(↣≠⋷$1122$)⨰$1244$⨟⋌⩍$1835$)%((($1987$⪒$3573$)⨳⩥⨓$1953$⨓$7141$)⊘)","expression":"(⩦⩻⨪(↣≠⋷⫏≰1112120)⨰⫏≰1201002⨟⋌⩍⫏≰2111222)%(((⫏≰2201121⪒⫏≰11220100)⨳⩥⨓⫏≰2200100⨓⫏≰100210111)⊘)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7188,"operation_count":9,"complexity_ratio":798.6666666666666,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1122,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1244,"base":3},"right_expr":{"type":"numeric_atoms","value":1835,"base":3}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1987,"base":3},"right_expr":{"type":"numeric_atoms","value":3573,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1953,"base":3},"right_expr":{"type":"numeric_atoms","value":7141,"base":3}}}}},"used_operators":["k8jYdgA6NY","2td37pGCOC","eewbuw0ToL","Asc51vEJeQ","rGHVDoGpnC","gu96TGCTMs","nCS4ZIUYfx","f6k1SAg4EE","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1244","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=1835, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', 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=1987","layer":4},{"info":"number node, value=3573","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=3573, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5560","layer":3},{"info":"number node, value=1953","layer":4},{"info":"number node, value=7141","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=7141, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7144","layer":3},{"info":"compute binary expreesion, left_input=-5560, right_input=-7144, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1584","layer":2},{"info":"compute unary expreesion, input=-1584, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⩦⩻⨪(↣≠⋷⫏≰1112120)⨰⫏≰1201002⨟⋌⩍⫏≰2111222)%(((⫏≰2201121⪒⫏≰11220100)⨳⩥⨓⫏≰2200100⨓⫏≰100210111)⊘)=NaN","reverse_text":"NaN=(⩦⩻⨪(↣≠⋷⫏≰1112120)⨰⫏≰1201002⨟⋌⩍⫏≰2111222)%(((⫏≰2201121⪒⫏≰11220100)⨳⩥⨓⫏≰2200100⨓⫏≰100210111)⊘)","cot":[{"info":"↣≠⋷⫏≰1112120=NaN","layer":3},{"info":"⫏≰1201002⨟⋌⩍⫏≰2111222=NaN","layer":3},{"info":"NaN⨰NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⫏≰2201121⪒⫏≰11220100=⫏≰-21121221","layer":3},{"info":"⫏≰2200100⨓⫏≰100210111=⫏≰-100210121","layer":3},{"info":"⫏≰-21121221⨳⩥⨓⫏≰-100210121=⫏≰-2011200","layer":2},{"info":"⫏≰-2011200⊘=⫏≰-1","layer":1},{"info":"NaN%⫏≰-1=NaN","layer":0}]}
{"id":378,"expression_no_base_symbol":"(($5815$⫸⊐$1908$)⋳⪒($4721$⨽$2781$)⨽($1909$⫸⊐$3879$)⋳⪒$8369$⩚⊴⇥$3594$)⋥≓≎(($4248$⋥≓≎$1716$)⨪↰⇹($1069$*$6106$)⪒($5273$⩨$1087$)∼(≦∁$4091$))","expression":"((⫏≰21222101⫸⊐⫏≰2121200)⋳⪒(⫏≰20110212⨽⫏≰10211000)⨽(⫏≰2121201⫸⊐⫏≰12022200)⋳⪒⫏≰102110222⩚⊴⇥⫏≰11221010)⋥≓≎((⫏≰12211100⋥≓≎⫏≰2100120)⨪↰⇹(⫏≰1110121*⫏≰22101011)⪒(⫏≰21020022⩨⫏≰1111021)∼(≦∁⫏≰12121112))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":66891952,"operation_count":15,"complexity_ratio":4459463.466666667,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5815,"base":3},"right_expr":{"type":"numeric_atoms","value":1908,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4721,"base":3},"right_expr":{"type":"numeric_atoms","value":2781,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1909,"base":3},"right_expr":{"type":"numeric_atoms","value":3879,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8369,"base":3},"right_expr":{"type":"numeric_atoms","value":3594,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4248,"base":3},"right_expr":{"type":"numeric_atoms","value":1716,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1069,"base":3},"right_expr":{"type":"numeric_atoms","value":6106,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5273,"base":3},"right_expr":{"type":"numeric_atoms","value":1087,"base":3}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4091,"base":3}}}}},"used_operators":["Qy55tPpLXF","8HhzD0ZcuI","12rbrZMWeM","mqXw5SEYmG","NTOWxs364D","f6k1SAg4EE","tmPS8pqC7x","9HNa5Wba9A","DyGG3AbaNP","2DlMacCsIx","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5815","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=5815, right_input=1908, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7507","layer":3},{"info":"number node, value=4721","layer":4},{"info":"number node, value=2781","layer":4},{"info":"compute binary expreesion, left_input=4721, right_input=2781, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-66870552","layer":3},{"info":"compute binary expreesion, left_input=7507, right_input=-66870552, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=66885279","layer":2},{"info":"number node, value=1909","layer":4},{"info":"number node, value=3879","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=3879, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15391","layer":3},{"info":"number node, value=8369","layer":4},{"info":"number node, value=3594","layer":4},{"info":"compute binary expreesion, left_input=8369, right_input=3594, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12084","layer":3},{"info":"compute binary expreesion, left_input=15391, right_input=-12084, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=42579","layer":2},{"info":"compute binary expreesion, left_input=66885279, right_input=42579, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"number node, value=4248","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=4248, right_input=1716, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-783","layer":3},{"info":"number node, value=1069","layer":4},{"info":"number node, value=6106","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=6106, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6527314","layer":3},{"info":"compute binary expreesion, left_input=-783, right_input=6527314, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=783","layer":2},{"info":"number node, value=5273","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=5273, right_input=1087, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4091","layer":4},{"info":"compute unary expreesion, input=4091, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4091","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4091, 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=783, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-inf, 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":3,"result_base":3,"text":"((⫏≰21222101⫸⊐⫏≰2121200)⋳⪒(⫏≰20110212⨽⫏≰10211000)⨽(⫏≰2121201⫸⊐⫏≰12022200)⋳⪒⫏≰102110222⩚⊴⇥⫏≰11221010)⋥≓≎((⫏≰12211100⋥≓≎⫏≰2100120)⨪↰⇹(⫏≰1110121*⫏≰22101011)⪒(⫏≰21020022⩨⫏≰1111021)∼(≦∁⫏≰12121112))=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰21222101⫸⊐⫏≰2121200)⋳⪒(⫏≰20110212⨽⫏≰10211000)⨽(⫏≰2121201⫸⊐⫏≰12022200)⋳⪒⫏≰102110222⩚⊴⇥⫏≰11221010)⋥≓≎((⫏≰12211100⋥≓≎⫏≰2100120)⨪↰⇹(⫏≰1110121*⫏≰22101011)⪒(⫏≰21020022⩨⫏≰1111021)∼(≦∁⫏≰12121112))","cot":[{"info":"⫏≰21222101⫸⊐⫏≰2121200=⫏≰101022001","layer":3},{"info":"⫏≰20110212⨽⫏≰10211000=⫏≰-11122211101011010","layer":3},{"info":"⫏≰101022001⋳⪒⫏≰-11122211101011010=⫏≰11122212010100120","layer":2},{"info":"⫏≰2121201⫸⊐⫏≰12022200=⫏≰210010001","layer":3},{"info":"⫏≰102110222⩚⊴⇥⫏≰11221010=⫏≰-121120120","layer":3},{"info":"⫏≰210010001⋳⪒⫏≰-121120120=⫏≰2011102000","layer":2},{"info":"⫏≰11122212010100120⨽⫏≰2011102000=-Inf","layer":1},{"info":"⫏≰12211100⋥≓≎⫏≰2100120=⫏≰-1002000","layer":3},{"info":"⫏≰1110121*⫏≰22101011=⫏≰110021121210101","layer":3},{"info":"⫏≰-1002000⨪↰⇹⫏≰110021121210101=⫏≰1002000","layer":2},{"info":"⫏≰21020022⩨⫏≰1111021=⫏≰0","layer":3},{"info":"≦∁⫏≰12121112=⫏≰12121112","layer":3},{"info":"⫏≰0∼⫏≰12121112=NaN","layer":2},{"info":"⫏≰1002000⪒NaN=NaN","layer":1},{"info":"-Inf⋥≓≎NaN=⫏≰2111","layer":0}]}
{"id":379,"expression_no_base_symbol":"($1771$∲⫓$1991$/$1068$⊭↱$1360$)∼(↯⪼(≤/$1011$))⨎($1353$+⇶⊼$5165$⋥≓≎$2848$∀⇚≩$2402$)≎⊠⪸(($1616$*$3971$)⨐⩸⫘(⨞⊢$5870$))","expression":"(⫏≰2102121∲⫓⫏≰2201202/⫏≰1110120⊭↱⫏≰1212101)∼(↯⪼(≤/⫏≰1101110))⨎(⫏≰1212010+⇶⊼⫏≰21002022⋥≓≎⫏≰10220111∀⇚≩⫏≰10021222)≎⊠⪸((⫏≰2012212*⫏≰12110002)⨐⩸⫘(⨞⊢⫏≰22001102))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22162,"operation_count":14,"complexity_ratio":1583.0,"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":1771,"base":3},"right_expr":{"type":"numeric_atoms","value":1991,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1068,"base":3},"right_expr":{"type":"numeric_atoms","value":1360,"base":3}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1011,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1353,"base":3},"right_expr":{"type":"numeric_atoms","value":5165,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2848,"base":3},"right_expr":{"type":"numeric_atoms","value":2402,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1616,"base":3},"right_expr":{"type":"numeric_atoms","value":3971,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5870,"base":3}}}}},"used_operators":["rJVOvQCfKK","DyGG3AbaNP","XhwjNDsVaA","i8ToyICDmI","COABgblf1C","8jW3W4yZS5","eLAdDNolq6","bJkvcejdHO","Qy55tPpLXF","TpPTUOHfaN","LRNGc0VcxI","fu6greOZ01","9HNa5Wba9A","xUOZtlo3hN"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","X99M06cbEe","3ViojmjbAp","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1771","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=1771, right_input=1991, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1360, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=589","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=589, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=137","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=137, 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=1353","layer":4},{"info":"number node, value=5165","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=5165, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2848","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=2848, right_input=2402, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=1616","layer":4},{"info":"number node, value=3971","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=3971, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6417136","layer":3},{"info":"number node, value=5870","layer":4},{"info":"compute unary expreesion, input=5870, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6044","layer":3},{"info":"compute binary expreesion, left_input=6417136, right_input=-6044, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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=0, right_input=67, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2102121∲⫓⫏≰2201202/⫏≰1110120⊭↱⫏≰1212101)∼(↯⪼(≤/⫏≰1101110))⨎(⫏≰1212010+⇶⊼⫏≰21002022⋥≓≎⫏≰10220111∀⇚≩⫏≰10021222)≎⊠⪸((⫏≰2012212*⫏≰12110002)⨐⩸⫘(⨞⊢⫏≰22001102))=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰2102121∲⫓⫏≰2201202/⫏≰1110120⊭↱⫏≰1212101)∼(↯⪼(≤/⫏≰1101110))⨎(⫏≰1212010+⇶⊼⫏≰21002022⋥≓≎⫏≰10220111∀⇚≩⫏≰10021222)≎⊠⪸((⫏≰2012212*⫏≰12110002)⨐⩸⫘(⨞⊢⫏≰22001102))","cot":[{"info":"⫏≰2102121∲⫓⫏≰2201202=⫏≰0","layer":3},{"info":"⫏≰1110120⊭↱⫏≰1212101=⫏≰210211","layer":3},{"info":"⫏≰0/⫏≰210211=⫏≰0","layer":2},{"info":"≤/⫏≰1101110=⫏≰-201112","layer":3},{"info":"↯⪼⫏≰-201112=⫏≰12002","layer":2},{"info":"⫏≰0∼⫏≰12002=⫏≰0","layer":1},{"info":"⫏≰1212010+⇶⊼⫏≰21002022=NaN","layer":3},{"info":"⫏≰10220111∀⇚≩⫏≰10021222=NaN","layer":3},{"info":"NaN⋥≓≎NaN=⫏≰2111","layer":2},{"info":"⫏≰2012212*⫏≰12110002=⫏≰110002000122201","layer":3},{"info":"⨞⊢⫏≰22001102=⫏≰-22021212","layer":3},{"info":"⫏≰110002000122201⨐⩸⫘⫏≰-22021212=NaN","layer":2},{"info":"⫏≰2111≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"⫏≰0⨎⫏≰2111=⫏≰2111","layer":0}]}
{"id":380,"expression_no_base_symbol":"(($1983$≧⫂∧$3381$≫≃)↛⩡⫤)⊭∹↮","expression":"((⫏≰2201110≧⫂∧⫏≰11122020≫≃)↛⩡⫤)⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21794,"operation_count":4,"complexity_ratio":5448.5,"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":1983,"base":3},"right_expr":{"type":"numeric_atoms","value":3381,"base":3}}}}},"used_operators":["xNBdhnnwKq","FU0Cs4j7VP","X99M06cbEe","Ph9nP6C5qx"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-2001011111220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1983","layer":4},{"info":"number node, value=3381","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=3381, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2908","layer":3},{"info":"compute unary expreesion, input=2908, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7217","layer":2},{"info":"compute unary expreesion, input=7217, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1085856","layer":1},{"info":"compute unary expreesion, input=-1085856, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-1085856","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2201110≧⫂∧⫏≰11122020≫≃)↛⩡⫤)⊭∹↮=⫏≰-2001011111220","reverse_text":"⫏≰-2001011111220=((⫏≰2201110≧⫂∧⫏≰11122020≫≃)↛⩡⫤)⊭∹↮","cot":[{"info":"⫏≰2201110≧⫂∧⫏≰11122020=⫏≰10222201","layer":3},{"info":"⫏≰10222201≫≃=⫏≰100220022","layer":2},{"info":"⫏≰100220022↛⩡⫤=⫏≰-2001011111220","layer":1},{"info":"⫏≰-2001011111220⊭∹↮=⫏≰-2001011111220","layer":0}]}
{"id":381,"expression_no_base_symbol":"(⨑⩽⪐$3481$⋓$2065$⩷∴($7591$↪⪝))⇼⇔∾(($7407$%$1102$)⊪)⨰(≤/$3168$⫸⊐$1492$)","expression":"(⨑⩽⪐⫏≰11202221⋓⫏≰2211111⩷∴(⫏≰101102011↪⪝))⇼⇔∾((⫏≰101011100%⫏≰1111211)⊪)⨰(≤/⫏≰11100100⫸⊐⫏≰2001021)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":798,"operation_count":10,"complexity_ratio":79.8,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3481,"base":3},"right_expr":{"type":"numeric_atoms","value":2065,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":7591,"base":3}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7407,"base":3},"right_expr":{"type":"numeric_atoms","value":1102,"base":3}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3168,"base":3},"right_expr":{"type":"numeric_atoms","value":1492,"base":3}}}}},"used_operators":["tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","T2fj7uvVaJ","l07mrZUIn9","eewbuw0ToL","zVYPLywUTj","k8jYdgA6NY","eLAdDNolq6","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫏≰-11210110122020121202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3481","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=3481, right_input=2065, op_id = T2fj7uvVaJ 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=7591","layer":4},{"info":"compute unary expreesion, input=7591, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=464432562","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=464432562, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-928865156","layer":2},{"info":"compute unary expreesion, input=-928865156, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=1857731101","layer":1},{"info":"number node, value=7407","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=7407, right_input=1102, op_id = k8jYdgA6NY binary_op_definition= 'None', output=795","layer":3},{"info":"compute unary expreesion, input=795, 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=3168","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=3168, right_input=1492, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5843","layer":3},{"info":"compute unary expreesion, input=5843, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5359","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5359, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5369","layer":1},{"info":"compute binary expreesion, left_input=1857731101, right_input=5369, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1857725732","layer":0}],"base":3,"result_base":3,"text":"(⨑⩽⪐⫏≰11202221⋓⫏≰2211111⩷∴(⫏≰101102011↪⪝))⇼⇔∾((⫏≰101011100%⫏≰1111211)⊪)⨰(≤/⫏≰11100100⫸⊐⫏≰2001021)=⫏≰-11210110122020121202","reverse_text":"⫏≰-11210110122020121202=(⨑⩽⪐⫏≰11202221⋓⫏≰2211111⩷∴(⫏≰101102011↪⪝))⇼⇔∾((⫏≰101011100%⫏≰1111211)⊪)⨰(≤/⫏≰11100100⫸⊐⫏≰2001021)","cot":[{"info":"⫏≰11202221⋓⫏≰2211111=⫏≰0","layer":3},{"info":"⫏≰101102011↪⪝=⫏≰1012100220121201000","layer":3},{"info":"⫏≰0⩷∴⫏≰1012100220121201000=⫏≰-2101201211020110012","layer":2},{"info":"⨑⩽⪐⫏≰-2101201211020110012=⫏≰11210110122111222121","layer":1},{"info":"⫏≰101011100%⫏≰1111211=⫏≰1002110","layer":3},{"info":"⫏≰1002110⊪=⫏≰0","layer":2},{"info":"⫏≰11100100⫸⊐⫏≰2001021=⫏≰22000102","layer":3},{"info":"≤/⫏≰22000102=⫏≰-21100111","layer":2},{"info":"⫏≰0⨰⫏≰-21100111=⫏≰21100212","layer":1},{"info":"⫏≰11210110122111222121⇼⇔∾⫏≰21100212=⫏≰-11210110122020121202","layer":0}]}
{"id":382,"expression_no_base_symbol":"(≦∁(⨑⩽⪐$2548$)⨐⩸⫘($1335$*$6183$))⩨($4915$≫≃)≹⇙⪍(≉$6182$)⋝⋈⪟((⋗⩬⋾$2034$)+⇶⊼($1611$≣⋋))","expression":"(≦∁(⨑⩽⪐⫏≰10111101)⨐⩸⫘(⫏≰1211110*⫏≰22111000))⩨(⫏≰20202001≫≃)≹⇙⪍(≉⫏≰22110222)⋝⋈⪟((⋗⩬⋾⫏≰2210100)+⇶⊼(⫏≰2012200≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1876,"operation_count":12,"complexity_ratio":156.33333333333334,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2548,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1335,"base":3},"right_expr":{"type":"numeric_atoms","value":6183,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4915,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6182,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2034,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1611,"base":3}}}}},"used_operators":["2DlMacCsIx","9ICcGScMcE","fu6greOZ01","AF7qkfDlqP","9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr","X99M06cbEe","e1ybzncUwg","TpPTUOHfaN","DpFCA1CohY","Tcnh7f0tEr"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2548","layer":4},{"info":"compute unary expreesion, input=2548, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2275","layer":3},{"info":"number node, value=1335","layer":4},{"info":"number node, value=6183","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=6183, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8254305","layer":3},{"info":"compute binary expreesion, left_input=-2275, right_input=8254305, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"number node, value=4915","layer":4},{"info":"compute unary expreesion, input=4915, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11231","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=11231, right_input=6713, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2034","layer":4},{"info":"compute unary expreesion, input=2034, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6102","layer":3},{"info":"number node, value=1611","layer":4},{"info":"compute unary expreesion, input=1611, 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=-6102, 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 = 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≦∁(⨑⩽⪐⫏≰10111101)⨐⩸⫘(⫏≰1211110*⫏≰22111000))⩨(⫏≰20202001≫≃)≹⇙⪍(≉⫏≰22110222)⋝⋈⪟((⋗⩬⋾⫏≰2210100)+⇶⊼(⫏≰2012200≣⋋))=NaN","reverse_text":"NaN=(≦∁(⨑⩽⪐⫏≰10111101)⨐⩸⫘(⫏≰1211110*⫏≰22111000))⩨(⫏≰20202001≫≃)≹⇙⪍(≉⫏≰22110222)⋝⋈⪟((⋗⩬⋾⫏≰2210100)+⇶⊼(⫏≰2012200≣⋋))","cot":[{"info":"⨑⩽⪐⫏≰10111101=⫏≰-10010021","layer":3},{"info":"⫏≰1211110*⫏≰22111000=⫏≰120112100210000","layer":3},{"info":"⫏≰-10010021⨐⩸⫘⫏≰120112100210000=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⫏≰20202001≫≃=⫏≰120101222","layer":3},{"info":"≉⫏≰22110222=⫏≰100012122","layer":3},{"info":"⫏≰120101222≹⇙⪍⫏≰100012122=NaN","layer":2},{"info":"⋗⩬⋾⫏≰2210100=⫏≰-22101000","layer":3},{"info":"⫏≰2012200≣⋋=⫏≰0","layer":3},{"info":"⫏≰-22101000+⇶⊼⫏≰0=⫏≰0","layer":2},{"info":"NaN⋝⋈⪟⫏≰0=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":383,"expression_no_base_symbol":"(⩦⩻⨪($1679$↬$2025$⨳⩥⨓$3824$≭$3442$))⨪↰⇹((($1283$/$4141$)*(≉$1063$))⨎($3244$⩷∴$2419$/($5284$⋷$4357$)))","expression":"(⩦⩻⨪(⫏≰2022012↬⫏≰2210000⨳⩥⨓⫏≰12020122≭⫏≰11201111))⨪↰⇹(((⫏≰1202112/⫏≰12200101)*(≉⫏≰1110101))⨎(⫏≰11110011⩷∴⫏≰10022121/(⫏≰21020201⋷⫏≰12222101)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24,"operation_count":12,"complexity_ratio":2.0,"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":1679,"base":3},"right_expr":{"type":"numeric_atoms","value":2025,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3824,"base":3},"right_expr":{"type":"numeric_atoms","value":3442,"base":3}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1283,"base":3},"right_expr":{"type":"numeric_atoms","value":4141,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1063,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3244,"base":3},"right_expr":{"type":"numeric_atoms","value":2419,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5284,"base":3},"right_expr":{"type":"numeric_atoms","value":4357,"base":3}}}}},"used_operators":["tmPS8pqC7x","2td37pGCOC","nCS4ZIUYfx","B5M0gjZbta","rxpJgHHUmx","rJVOvQCfKK","9HNa5Wba9A","XhwjNDsVaA","e1ybzncUwg","9FxExcQeMw","23Mk6UjR3U"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1679","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=2025, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3824","layer":4},{"info":"number node, value=3442","layer":4},{"info":"compute binary expreesion, left_input=3824, 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":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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=1283","layer":4},{"info":"number node, value=4141","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=4141, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1063","layer":4},{"info":"compute unary expreesion, input=1063, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1594","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1594, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=3244","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=2419, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1618","layer":3},{"info":"number node, value=5284","layer":4},{"info":"number node, value=4357","layer":4},{"info":"compute binary expreesion, left_input=5284, right_input=4357, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3430","layer":3},{"info":"compute binary expreesion, left_input=1618, right_input=3430, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, 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":"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":3,"result_base":3,"text":"(⩦⩻⨪(⫏≰2022012↬⫏≰2210000⨳⩥⨓⫏≰12020122≭⫏≰11201111))⨪↰⇹(((⫏≰1202112/⫏≰12200101)*(≉⫏≰1110101))⨎(⫏≰11110011⩷∴⫏≰10022121/(⫏≰21020201⋷⫏≰12222101)))=NaN","reverse_text":"NaN=(⩦⩻⨪(⫏≰2022012↬⫏≰2210000⨳⩥⨓⫏≰12020122≭⫏≰11201111))⨪↰⇹(((⫏≰1202112/⫏≰12200101)*(≉⫏≰1110101))⨎(⫏≰11110011⩷∴⫏≰10022121/(⫏≰21020201⋷⫏≰12222101)))","cot":[{"info":"⫏≰2022012↬⫏≰2210000=NaN","layer":3},{"info":"⫏≰12020122≭⫏≰11201111=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⫏≰1202112/⫏≰12200101=⫏≰0","layer":3},{"info":"≉⫏≰1110101=⫏≰2012001","layer":3},{"info":"⫏≰0*⫏≰2012001=⫏≰0","layer":2},{"info":"⫏≰11110011⩷∴⫏≰10022121=⫏≰2012221","layer":3},{"info":"⫏≰21020201⋷⫏≰12222101=⫏≰11201001","layer":3},{"info":"⫏≰2012221/⫏≰11201001=⫏≰0","layer":2},{"info":"⫏≰0⨎⫏≰0=⫏≰0","layer":1},{"info":"NaN⨪↰⇹⫏≰0=NaN","layer":0}]}
{"id":384,"expression_no_base_symbol":"($3041$⋝⋈⪟$5781$⫸⊐($3265$/$1947$)%(⊥$2130$)≭($1745$⩠))⪘⫢(⨈⫕(≦∁$4968$)⨽$2230$⫥∨⫟$3020$)","expression":"(⫏≰11011122⋝⋈⪟⫏≰21221010⫸⊐(⫏≰11110221/⫏≰2200010)%(⊥⫏≰2220220)≭(⫏≰2101122⩠))⪘⫢(⨈⫕(≦∁⫏≰20211000)⨽⫏≰10001121⫥∨⫟⫏≰11010212)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5580,"operation_count":12,"complexity_ratio":465.0,"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":3041,"base":3},"right_expr":{"type":"numeric_atoms","value":5781,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3265,"base":3},"right_expr":{"type":"numeric_atoms","value":1947,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2130,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1745,"base":3}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4968,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2230,"base":3},"right_expr":{"type":"numeric_atoms","value":3020,"base":3}}}}},"used_operators":["oacrs7FA3X","k8jYdgA6NY","mqXw5SEYmG","2DDjHMKMc0","XhwjNDsVaA","rxpJgHHUmx","Q3PJZHRvZv","sJAwomhLZr","megm06wKyl","8HhzD0ZcuI","9ICcGScMcE","KYD54nUTWz"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","fu6greOZ01","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3041","layer":4},{"info":"number node, value=5781","layer":4},{"info":"compute binary expreesion, left_input=3041, right_input=5781, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3041","layer":3},{"info":"number node, value=3265","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=3265, right_input=1947, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=3041, right_input=1, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-121","layer":2},{"info":"number node, value=2130","layer":4},{"info":"compute unary expreesion, input=2130, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1745","layer":4},{"info":"compute unary expreesion, input=1745, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(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":"compute binary expreesion, left_input=-121, right_input=-22, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-11","layer":1},{"info":"number node, value=4968","layer":4},{"info":"compute unary expreesion, input=4968, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4968","layer":3},{"info":"number node, value=2230","layer":4},{"info":"number node, value=3020","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=3020, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4968, 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 = 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=-11, 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":3,"result_base":3,"text":"(⫏≰11011122⋝⋈⪟⫏≰21221010⫸⊐(⫏≰11110221/⫏≰2200010)%(⊥⫏≰2220220)≭(⫏≰2101122⩠))⪘⫢(⨈⫕(≦∁⫏≰20211000)⨽⫏≰10001121⫥∨⫟⫏≰11010212)=⫏≰0","reverse_text":"⫏≰0=(⫏≰11011122⋝⋈⪟⫏≰21221010⫸⊐(⫏≰11110221/⫏≰2200010)%(⊥⫏≰2220220)≭(⫏≰2101122⩠))⪘⫢(⨈⫕(≦∁⫏≰20211000)⨽⫏≰10001121⫥∨⫟⫏≰11010212)","cot":[{"info":"⫏≰11011122⋝⋈⪟⫏≰21221010=⫏≰11011122","layer":3},{"info":"⫏≰11110221/⫏≰2200010=⫏≰1","layer":3},{"info":"⫏≰11011122⫸⊐⫏≰1=⫏≰-11111","layer":2},{"info":"⊥⫏≰2220220=NaN","layer":3},{"info":"⫏≰2101122⩠=⫏≰0","layer":3},{"info":"NaN≭⫏≰0=⫏≰-211","layer":2},{"info":"⫏≰-11111%⫏≰-211=⫏≰-102","layer":1},{"info":"≦∁⫏≰20211000=⫏≰20211000","layer":3},{"info":"⫏≰10001121⫥∨⫟⫏≰11010212=NaN","layer":3},{"info":"⫏≰20211000⨽NaN=NaN","layer":2},{"info":"⨈⫕NaN=⫏≰-210","layer":1},{"info":"⫏≰-102⪘⫢⫏≰-210=⫏≰0","layer":0}]}
{"id":385,"expression_no_base_symbol":"((⊄⩳↩($2363$⨎$3262$))⨁⊸⫻)⨽(($4367$⫸⊐$8498$)+⇶⊼($2679$⩚⊴⇥$1304$)⪒($4753$⫡⨏$1855$)≧⫂∧($5008$⊭∹↮))","expression":"((⊄⩳↩(⫏≰10020112⨎⫏≰11110211))⨁⊸⫻)⨽((⫏≰12222202⫸⊐⫏≰102122202)+⇶⊼(⫏≰10200020⩚⊴⇥⫏≰1210022)⪒(⫏≰20112001⫡⨏⫏≰2112201)≧⫂∧(⫏≰20212111⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19633,"operation_count":11,"complexity_ratio":1784.8181818181818,"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":2363,"base":3},"right_expr":{"type":"numeric_atoms","value":3262,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4367,"base":3},"right_expr":{"type":"numeric_atoms","value":8498,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2679,"base":3},"right_expr":{"type":"numeric_atoms","value":1304,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4753,"base":3},"right_expr":{"type":"numeric_atoms","value":1855,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5008,"base":3}}}}},"used_operators":["8HhzD0ZcuI","glklzrTFfD","8w2t5hMYqp","rJVOvQCfKK","f6k1SAg4EE","TpPTUOHfaN","mqXw5SEYmG","NTOWxs364D","Ph9nP6C5qx","QMFrweE19q","xNBdhnnwKq"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2363","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=3262, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3262","layer":3},{"info":"compute unary expreesion, input=3262, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9786","layer":2},{"info":"compute unary expreesion, input=-9786, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-19572","layer":1},{"info":"number node, value=4367","layer":4},{"info":"number node, value=8498","layer":4},{"info":"compute binary expreesion, left_input=4367, right_input=8498, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=33867","layer":3},{"info":"number node, value=2679","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=1304, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4104","layer":3},{"info":"compute binary expreesion, left_input=33867, right_input=-4104, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4753","layer":4},{"info":"number node, value=1855","layer":4},{"info":"compute binary expreesion, left_input=4753, right_input=1855, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=28258","layer":3},{"info":"number node, value=5008","layer":4},{"info":"compute unary expreesion, input=5008, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10016","layer":3},{"info":"compute binary expreesion, left_input=28258, right_input=10016, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=9543","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9543, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-19572, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊄⩳↩(⫏≰10020112⨎⫏≰11110211))⨁⊸⫻)⨽((⫏≰12222202⫸⊐⫏≰102122202)+⇶⊼(⫏≰10200020⩚⊴⇥⫏≰1210022)⪒(⫏≰20112001⫡⨏⫏≰2112201)≧⫂∧(⫏≰20212111⊭∹↮))=NaN","reverse_text":"NaN=((⊄⩳↩(⫏≰10020112⨎⫏≰11110211))⨁⊸⫻)⨽((⫏≰12222202⫸⊐⫏≰102122202)+⇶⊼(⫏≰10200020⩚⊴⇥⫏≰1210022)⪒(⫏≰20112001⫡⨏⫏≰2112201)≧⫂∧(⫏≰20212111⊭∹↮))","cot":[{"info":"⫏≰10020112⨎⫏≰11110211=⫏≰11110211","layer":3},{"info":"⊄⩳↩⫏≰11110211=⫏≰-111102110","layer":2},{"info":"⫏≰-111102110⨁⊸⫻=⫏≰-222211220","layer":1},{"info":"⫏≰12222202⫸⊐⫏≰102122202=⫏≰1201110100","layer":3},{"info":"⫏≰10200020⩚⊴⇥⫏≰1210022=⫏≰-12122000","layer":3},{"info":"⫏≰1201110100+⇶⊼⫏≰-12122000=NaN","layer":2},{"info":"⫏≰20112001⫡⨏⫏≰2112201=⫏≰1102202121","layer":3},{"info":"⫏≰20212111⊭∹↮=⫏≰111201222","layer":3},{"info":"⫏≰1102202121≧⫂∧⫏≰111201222=⫏≰111002110","layer":2},{"info":"NaN⪒⫏≰111002110=NaN","layer":1},{"info":"⫏≰-222211220⨽NaN=NaN","layer":0}]}
{"id":386,"expression_no_base_symbol":"(($4986$+$4158$)%$4470$⨽$6179$↪⪝)⫸⊐($3819$⪛$1381$⇼⇔∾$3210$⋓$3377$)⨓((⊄⩳↩$2854$)-$9412$⩚⊴⇥$7323$)","expression":"((⫏≰20211200+⫏≰12201000)%⫏≰20010120⨽⫏≰22110212↪⪝)⫸⊐(⫏≰12020110⪛⫏≰1220011⇼⇔∾⫏≰11101220⋓⫏≰11122002)⨓((⊄⩳↩⫏≰10220201)-⫏≰110220121⩚⊴⇥⫏≰101001020)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13410,"operation_count":12,"complexity_ratio":1117.5,"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":4986,"base":3},"right_expr":{"type":"numeric_atoms","value":4158,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4470,"base":3},"right_expr":{"type":"numeric_atoms","value":6179,"base":3}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3819,"base":3},"right_expr":{"type":"numeric_atoms","value":1381,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3210,"base":3},"right_expr":{"type":"numeric_atoms","value":3377,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2854,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":9412,"base":3},"right_expr":{"type":"numeric_atoms","value":7323,"base":3}}}}},"used_operators":["mqXw5SEYmG","l07mrZUIn9","k8jYdgA6NY","W4YGzv6Whe","8HhzD0ZcuI","3ViojmjbAp","tifHPKVTfV","uFcxV4UQCh","T2fj7uvVaJ","rysDP5nf3Z","8w2t5hMYqp","NTOWxs364D"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4986","layer":4},{"info":"number node, value=4158","layer":4},{"info":"compute binary expreesion, left_input=4986, right_input=4158, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9144","layer":3},{"info":"number node, value=4470","layer":4},{"info":"number node, value=6179","layer":4},{"info":"compute binary expreesion, left_input=4470, right_input=6179, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-59959923","layer":3},{"info":"compute binary expreesion, left_input=9144, right_input=-59959923, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-59950779","layer":2},{"info":"compute unary expreesion, input=-59950779, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-inf","layer":1},{"info":"number node, value=3819","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=1381, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1057","layer":3},{"info":"number node, value=3210","layer":4},{"info":"number node, value=3377","layer":4},{"info":"compute binary expreesion, left_input=3210, right_input=3377, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1057, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1057","layer":2},{"info":"number node, value=2854","layer":4},{"info":"compute unary expreesion, input=2854, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8562","layer":3},{"info":"number node, value=9412","layer":4},{"info":"number node, value=7323","layer":4},{"info":"compute binary expreesion, left_input=9412, right_input=7323, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-16856","layer":3},{"info":"compute binary expreesion, left_input=-8562, right_input=-16856, op_id = rysDP5nf3Z binary_op_definition= 'None', output=8294","layer":2},{"info":"compute binary expreesion, left_input=-1057, right_input=8294, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8297","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=-8297, 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":3,"result_base":3,"text":"((⫏≰20211200+⫏≰12201000)%⫏≰20010120⨽⫏≰22110212↪⪝)⫸⊐(⫏≰12020110⪛⫏≰1220011⇼⇔∾⫏≰11101220⋓⫏≰11122002)⨓((⊄⩳↩⫏≰10220201)-⫏≰110220121⩚⊴⇥⫏≰101001020)=NaN","reverse_text":"NaN=((⫏≰20211200+⫏≰12201000)%⫏≰20010120⨽⫏≰22110212↪⪝)⫸⊐(⫏≰12020110⪛⫏≰1220011⇼⇔∾⫏≰11101220⋓⫏≰11122002)⨓((⊄⩳↩⫏≰10220201)-⫏≰110220121⩚⊴⇥⫏≰101001020)","cot":[{"info":"⫏≰20211200+⫏≰12201000=⫏≰110112200","layer":3},{"info":"⫏≰20010120⨽⫏≰22110212=⫏≰-11011211021112220","layer":3},{"info":"⫏≰110112200%⫏≰-11011211021112220=⫏≰-11011210211000020","layer":2},{"info":"⫏≰-11011210211000020↪⪝=-Inf","layer":1},{"info":"⫏≰12020110⪛⫏≰1220011=⫏≰1110011","layer":3},{"info":"⫏≰11101220⋓⫏≰11122002=⫏≰0","layer":3},{"info":"⫏≰1110011⇼⇔∾⫏≰0=⫏≰-1110011","layer":2},{"info":"⊄⩳↩⫏≰10220201=⫏≰-102202010","layer":3},{"info":"⫏≰110220121⩚⊴⇥⫏≰101001020=⫏≰-212010022","layer":3},{"info":"⫏≰-102202010-⫏≰-212010022=⫏≰102101012","layer":2},{"info":"⫏≰-1110011⨓⫏≰102101012=⫏≰-102101022","layer":1},{"info":"-Inf⫸⊐⫏≰-102101022=NaN","layer":0}]}
{"id":387,"expression_no_base_symbol":"(⊄⩳↩($1480$⨪↰⇹$4261$≭($3907$⨵⪆$3643$)))⪐","expression":"(⊄⩳↩(⫏≰2000211⨪↰⇹⫏≰12211211≭(⫏≰12100201⨵⪆⫏≰11222221)))⪐","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1487,"operation_count":5,"complexity_ratio":297.4,"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":1480,"base":3},"right_expr":{"type":"numeric_atoms","value":4261,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3907,"base":3},"right_expr":{"type":"numeric_atoms","value":3643,"base":3}}}}},"used_operators":["eH2TOUuTDT","8w2t5hMYqp","rxpJgHHUmx","tmPS8pqC7x","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1480","layer":4},{"info":"number node, value=4261","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=4261, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1480","layer":3},{"info":"number node, value=3907","layer":4},{"info":"number node, value=3643","layer":4},{"info":"compute binary expreesion, left_input=3907, right_input=3643, 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=1480, 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 unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-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":3,"result_base":3,"text":"(⊄⩳↩(⫏≰2000211⨪↰⇹⫏≰12211211≭(⫏≰12100201⨵⪆⫏≰11222221)))⪐=NaN","reverse_text":"NaN=(⊄⩳↩(⫏≰2000211⨪↰⇹⫏≰12211211≭(⫏≰12100201⨵⪆⫏≰11222221)))⪐","cot":[{"info":"⫏≰2000211⨪↰⇹⫏≰12211211=⫏≰2000211","layer":3},{"info":"⫏≰12100201⨵⪆⫏≰11222221=⫏≰12221","layer":3},{"info":"⫏≰2000211≭⫏≰12221=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":388,"expression_no_base_symbol":"((($1484$⋫)⪨≂(⪝⪂⫅$1471$))⊭↱(($1273$∲⫓$1549$)⫩⊇))↺(($4694$⩠)⩷∴($4082$-$7765$)≋⫹)","expression":"(((⫏≰2000222⋫)⪨≂(⪝⪂⫅⫏≰2000111))⊭↱((⫏≰1202011∲⫓⫏≰2010101)⫩⊇))↺((⫏≰20102212⩠)⩷∴(⫏≰12121012-⫏≰101122121)≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1679,"operation_count":11,"complexity_ratio":152.63636363636363,"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":1484,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1471,"base":3}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1273,"base":3},"right_expr":{"type":"numeric_atoms","value":1549,"base":3}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4694,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4082,"base":3},"right_expr":{"type":"numeric_atoms","value":7765,"base":3}}}}},"used_operators":["7j4O788W3g","COABgblf1C","sdazOOVcIp","JL8yIekQnl","XTarYq4gQB","BjRHVeLaeN","i8ToyICDmI","N41Kp7NANJ","9FxExcQeMw","sJAwomhLZr","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫏≰-202010021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1484","layer":4},{"info":"compute unary expreesion, input=1484, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1484","layer":3},{"info":"number node, value=1471","layer":4},{"info":"compute unary expreesion, input=1471, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-216237","layer":3},{"info":"compute binary expreesion, left_input=1484, right_input=-216237, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=435544","layer":2},{"info":"number node, value=1273","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=1549, 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":"compute binary expreesion, left_input=435544, right_input=42, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-870999","layer":1},{"info":"number node, value=4694","layer":4},{"info":"compute unary expreesion, input=4694, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=4082","layer":4},{"info":"number node, value=7765","layer":4},{"info":"compute binary expreesion, left_input=4082, right_input=7765, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3683","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3683, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7334","layer":2},{"info":"compute unary expreesion, input=7334, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14668","layer":1},{"info":"compute binary expreesion, left_input=-870999, right_input=-14668, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-14668","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2000222⋫)⪨≂(⪝⪂⫅⫏≰2000111))⊭↱((⫏≰1202011∲⫓⫏≰2010101)⫩⊇))↺((⫏≰20102212⩠)⩷∴(⫏≰12121012-⫏≰101122121)≋⫹)=⫏≰-202010021","reverse_text":"⫏≰-202010021=(((⫏≰2000222⋫)⪨≂(⪝⪂⫅⫏≰2000111))⊭↱((⫏≰1202011∲⫓⫏≰2010101)⫩⊇))↺((⫏≰20102212⩠)⩷∴(⫏≰12121012-⫏≰101122121)≋⫹)","cot":[{"info":"⫏≰2000222⋫=⫏≰2000222","layer":3},{"info":"⪝⪂⫅⫏≰2000111=⫏≰-101222121210","layer":3},{"info":"⫏≰2000222⪨≂⫏≰-101222121210=⫏≰211010110021","layer":2},{"info":"⫏≰1202011∲⫓⫏≰2010101=⫏≰0","layer":3},{"info":"⫏≰0⫩⊇=⫏≰1120","layer":2},{"info":"⫏≰211010110021⊭↱⫏≰1120=⫏≰-1122020210020","layer":1},{"info":"⫏≰20102212⩠=⫏≰0","layer":3},{"info":"⫏≰12121012-⫏≰101122121=⫏≰-12001102","layer":3},{"info":"⫏≰0⩷∴⫏≰-12001102=⫏≰101001122","layer":2},{"info":"⫏≰101001122≋⫹=⫏≰-202010021","layer":1},{"info":"⫏≰-1122020210020↺⫏≰-202010021=⫏≰-202010021","layer":0}]}
{"id":389,"expression_no_base_symbol":"(($3189$⨽$4661$)⪛($1393$+⇶⊼$7177$)⋷$5461$⊭↱$2005$⇼⇔∾(⨑⩽⪐$1043$))⪠⩆⊳","expression":"((⫏≰11101010⨽⫏≰20101122)⪛(⫏≰1220121+⇶⊼⫏≰100211211)⋷⫏≰21111021⊭↱⫏≰2202021⇼⇔∾(⨑⩽⪐⫏≰1102122))⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3223,"operation_count":8,"complexity_ratio":402.875,"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":3189,"base":3},"right_expr":{"type":"numeric_atoms","value":4661,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1393,"base":3},"right_expr":{"type":"numeric_atoms","value":7177,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5461,"base":3},"right_expr":{"type":"numeric_atoms","value":2005,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1043,"base":3}}}}},"used_operators":["JLbD19bQDL","23Mk6UjR3U","uFcxV4UQCh","8HhzD0ZcuI","TpPTUOHfaN","tifHPKVTfV","COABgblf1C","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3189","layer":4},{"info":"number node, value=4661","layer":4},{"info":"compute binary expreesion, left_input=3189, right_input=4661, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-30521832","layer":3},{"info":"number node, value=1393","layer":4},{"info":"number node, value=7177","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=7177, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-30521832, 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=5461","layer":4},{"info":"number node, value=2005","layer":4},{"info":"compute binary expreesion, left_input=5461, right_input=2005, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6907","layer":3},{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-770","layer":3},{"info":"compute binary expreesion, left_input=-6907, right_input=-770, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6137","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6137, 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 = 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":3,"result_base":3,"text":"((⫏≰11101010⨽⫏≰20101122)⪛(⫏≰1220121+⇶⊼⫏≰100211211)⋷⫏≰21111021⊭↱⫏≰2202021⇼⇔∾(⨑⩽⪐⫏≰1102122))⪠⩆⊳=NaN","reverse_text":"NaN=((⫏≰11101010⨽⫏≰20101122)⪛(⫏≰1220121+⇶⊼⫏≰100211211)⋷⫏≰21111021⊭↱⫏≰2202021⇼⇔∾(⨑⩽⪐⫏≰1102122))⪠⩆⊳","cot":[{"info":"⫏≰11101010⨽⫏≰20101122=⫏≰-2010102200002020","layer":3},{"info":"⫏≰1220121+⇶⊼⫏≰100211211=NaN","layer":3},{"info":"⫏≰-2010102200002020⪛NaN=NaN","layer":2},{"info":"⫏≰21111021⊭↱⫏≰2202021=⫏≰-100110211","layer":3},{"info":"⨑⩽⪐⫏≰1102122=⫏≰-1001112","layer":3},{"info":"⫏≰-100110211⇼⇔∾⫏≰-1001112=⫏≰22102022","layer":2},{"info":"NaN⋷⫏≰22102022=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":390,"expression_no_base_symbol":"((∂$6473$)⫡⨏$1729$∼$4446$⨵⪆($6903$⋷$6014$)%$6270$⩨$6774$)≫≃","expression":"((∂⫏≰22212202)⫡⨏⫏≰2101001∼⫏≰20002200⨵⪆(⫏≰100110200⋷⫏≰22020202)%⫏≰22121020⩨⫏≰100021220)≫≃","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1766,"operation_count":8,"complexity_ratio":220.75,"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":6473,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1729,"base":3},"right_expr":{"type":"numeric_atoms","value":4446,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6903,"base":3},"right_expr":{"type":"numeric_atoms","value":6014,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6270,"base":3},"right_expr":{"type":"numeric_atoms","value":6774,"base":3}}}}},"used_operators":["X99M06cbEe","2DQ55sFlQl","QMFrweE19q","Uaa54Peajs","DyGG3AbaNP","k8jYdgA6NY","23Mk6UjR3U","2DlMacCsIx"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫏≰2100202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6473","layer":4},{"info":"compute unary expreesion, input=6473, 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=1729","layer":4},{"info":"number node, value=4446","layer":4},{"info":"compute binary expreesion, left_input=1729, right_input=4446, 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 = 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=6903","layer":4},{"info":"number node, value=6014","layer":4},{"info":"compute binary expreesion, left_input=6903, right_input=6014, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5125","layer":3},{"info":"number node, value=6270","layer":4},{"info":"number node, value=6774","layer":4},{"info":"compute binary expreesion, left_input=6270, right_input=6774, 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=5125, right_input=-3, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-2","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1721","layer":0}],"base":3,"result_base":3,"text":"((∂⫏≰22212202)⫡⨏⫏≰2101001∼⫏≰20002200⨵⪆(⫏≰100110200⋷⫏≰22020202)%⫏≰22121020⩨⫏≰100021220)≫≃=⫏≰2100202","reverse_text":"⫏≰2100202=((∂⫏≰22212202)⫡⨏⫏≰2101001∼⫏≰20002200⨵⪆(⫏≰100110200⋷⫏≰22020202)%⫏≰22121020⩨⫏≰100021220)≫≃","cot":[{"info":"∂⫏≰22212202=NaN","layer":3},{"info":"⫏≰2101001∼⫏≰20002200=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"⫏≰100110200⋷⫏≰22020202=⫏≰21000211","layer":3},{"info":"⫏≰22121020⩨⫏≰100021220=⫏≰-10","layer":3},{"info":"⫏≰21000211%⫏≰-10=⫏≰-2","layer":2},{"info":"NaN⨵⪆⫏≰-2=⫏≰12221","layer":1},{"info":"⫏≰12221≫≃=⫏≰2100202","layer":0}]}
{"id":391,"expression_no_base_symbol":"((≤/$6043$)∲⫓$6386$↺$3541$)⪮%⊝((⨵≀≌$2396$)∲⫓(↽≂$2675$))⊉≛↸(∂($2667$*$3634$))⨰((↩$1630$)%(≉$1297$))","expression":"((≤/⫏≰22021211)∲⫓⫏≰22202112↺⫏≰11212011)⪮%⊝((⨵≀≌⫏≰10021202)∲⫓(↽≂⫏≰10200002))⊉≛↸(∂(⫏≰10122210*⫏≰11222121))⨰((↩⫏≰2020101)%(≉⫏≰1210001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2720,"operation_count":14,"complexity_ratio":194.28571428571428,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6043,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6386,"base":3},"right_expr":{"type":"numeric_atoms","value":3541,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2396,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2675,"base":3}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2667,"base":3},"right_expr":{"type":"numeric_atoms","value":3634,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1630,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1297,"base":3}}}}},"used_operators":["DZ8iAZOCBD","IWmyXbctLI","i8ToyICDmI","eLAdDNolq6","7j4O788W3g","srAu1WTS94","u6S6b8DprG","eewbuw0ToL","Uaa54Peajs","9HNa5Wba9A","k8jYdgA6NY","jLgFTUHLKL","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰212102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6043","layer":4},{"info":"compute unary expreesion, input=6043, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5559","layer":3},{"info":"number node, value=6386","layer":4},{"info":"number node, value=3541","layer":4},{"info":"compute binary expreesion, left_input=6386, right_input=3541, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3541","layer":3},{"info":"compute binary expreesion, left_input=-5559, right_input=3541, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2396","layer":4},{"info":"compute unary expreesion, input=2396, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7188","layer":3},{"info":"number node, value=2675","layer":4},{"info":"compute unary expreesion, input=2675, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5350","layer":3},{"info":"compute binary expreesion, left_input=-7188, right_input=-5350, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-7188","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-7188, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":1},{"info":"number node, value=2667","layer":4},{"info":"number node, value=3634","layer":4},{"info":"compute binary expreesion, left_input=2667, right_input=3634, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9691878","layer":3},{"info":"compute unary expreesion, input=9691878, 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=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10260","layer":3},{"info":"number node, value=1297","layer":4},{"info":"compute unary expreesion, input=1297, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1828","layer":3},{"info":"compute binary expreesion, left_input=-10260, right_input=1828, op_id = k8jYdgA6NY binary_op_definition= 'None', output=708","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=708, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=316, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=632","layer":0}],"base":3,"result_base":3,"text":"((≤/⫏≰22021211)∲⫓⫏≰22202112↺⫏≰11212011)⪮%⊝((⨵≀≌⫏≰10021202)∲⫓(↽≂⫏≰10200002))⊉≛↸(∂(⫏≰10122210*⫏≰11222121))⨰((↩⫏≰2020101)%(≉⫏≰1210001))=⫏≰212102","reverse_text":"⫏≰212102=((≤/⫏≰22021211)∲⫓⫏≰22202112↺⫏≰11212011)⪮%⊝((⨵≀≌⫏≰10021202)∲⫓(↽≂⫏≰10200002))⊉≛↸(∂(⫏≰10122210*⫏≰11222121))⨰((↩⫏≰2020101)%(≉⫏≰1210001))","cot":[{"info":"≤/⫏≰22021211=⫏≰-21121220","layer":3},{"info":"⫏≰22202112↺⫏≰11212011=⫏≰11212011","layer":3},{"info":"⫏≰-21121220∲⫓⫏≰11212011=⫏≰0","layer":2},{"info":"⨵≀≌⫏≰10021202=⫏≰-100212020","layer":3},{"info":"↽≂⫏≰10200002=⫏≰-21100011","layer":3},{"info":"⫏≰-100212020∲⫓⫏≰-21100011=⫏≰-100212020","layer":2},{"info":"⫏≰0⪮%⊝⫏≰-100212020=⫏≰102201","layer":1},{"info":"⫏≰10122210*⫏≰11222121=⫏≰200020101202110","layer":3},{"info":"∂⫏≰200020101202110=NaN","layer":2},{"info":"↩⫏≰2020101=⫏≰-112002000","layer":3},{"info":"≉⫏≰1210001=⫏≰2111201","layer":3},{"info":"⫏≰-112002000%⫏≰2111201=⫏≰222020","layer":2},{"info":"NaN⨰⫏≰222020=NaN","layer":1},{"info":"⫏≰102201⊉≛↸NaN=⫏≰212102","layer":0}]}
{"id":392,"expression_no_base_symbol":"(($6663$⨸⪁$1723$)⋝⋈⪟($4015$⋝⋈⪟$5301$)≭($2782$⨸⪁$4394$)⨰(⨰⫟⨤$1665$))⨪↰⇹(($2276$⨐⩸⫘$7425$)⨟⋌⩍($6449$⨐⩸⫘$8220$)⋝⋈⪟(⇁⨣⪵($6331$≋⫹)))","expression":"((⫏≰100010210⨸⪁⫏≰2100211)⋝⋈⪟(⫏≰12111201⋝⋈⪟⫏≰21021100)≭(⫏≰10211001⨸⪁⫏≰20000202)⨰(⨰⫟⨤⫏≰2021200))⨪↰⇹((⫏≰10010022⨐⩸⫘⫏≰101012000)⨟⋌⩍(⫏≰22211212⨐⩸⫘⫏≰102021110)⋝⋈⪟(⇁⨣⪵(⫏≰22200111≋⫹)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5850,"operation_count":14,"complexity_ratio":417.85714285714283,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6663,"base":3},"right_expr":{"type":"numeric_atoms","value":1723,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4015,"base":3},"right_expr":{"type":"numeric_atoms","value":5301,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2782,"base":3},"right_expr":{"type":"numeric_atoms","value":4394,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1665,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2276,"base":3},"right_expr":{"type":"numeric_atoms","value":7425,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6449,"base":3},"right_expr":{"type":"numeric_atoms","value":8220,"base":3}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6331,"base":3}}}}},"used_operators":["tmPS8pqC7x","rxpJgHHUmx","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Tw270M8GLb","rGHVDoGpnC","fu6greOZ01","inkyxCbjAn","N41Kp7NANJ"],"dependent_operators":["rJVOvQCfKK","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr","3ViojmjbAp","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6663","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=6663, right_input=1723, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16772","layer":3},{"info":"number node, value=4015","layer":4},{"info":"number node, value=5301","layer":4},{"info":"compute binary expreesion, left_input=4015, right_input=5301, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4015","layer":3},{"info":"compute binary expreesion, left_input=16772, right_input=4015, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=16772","layer":2},{"info":"number node, value=2782","layer":4},{"info":"number node, value=4394","layer":4},{"info":"compute binary expreesion, left_input=2782, right_input=4394, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14352","layer":3},{"info":"number node, value=1665","layer":4},{"info":"compute unary expreesion, input=1665, 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=14352, 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=16772, 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=2276","layer":4},{"info":"number node, value=7425","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=7425, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=6449","layer":4},{"info":"number node, value=8220","layer":4},{"info":"compute binary expreesion, left_input=6449, right_input=8220, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=6331","layer":4},{"info":"compute unary expreesion, input=6331, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12662","layer":3},{"info":"compute unary expreesion, input=-12662, 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 = 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":3,"result_base":3,"text":"((⫏≰100010210⨸⪁⫏≰2100211)⋝⋈⪟(⫏≰12111201⋝⋈⪟⫏≰21021100)≭(⫏≰10211001⨸⪁⫏≰20000202)⨰(⨰⫟⨤⫏≰2021200))⨪↰⇹((⫏≰10010022⨐⩸⫘⫏≰101012000)⨟⋌⩍(⫏≰22211212⨐⩸⫘⫏≰102021110)⋝⋈⪟(⇁⨣⪵(⫏≰22200111≋⫹)))=NaN","reverse_text":"NaN=((⫏≰100010210⨸⪁⫏≰2100211)⋝⋈⪟(⫏≰12111201⋝⋈⪟⫏≰21021100)≭(⫏≰10211001⨸⪁⫏≰20000202)⨰(⨰⫟⨤⫏≰2021200))⨪↰⇹((⫏≰10010022⨐⩸⫘⫏≰101012000)⨟⋌⩍(⫏≰22211212⨐⩸⫘⫏≰102021110)⋝⋈⪟(⇁⨣⪵(⫏≰22200111≋⫹)))","cot":[{"info":"⫏≰100010210⨸⪁⫏≰2100211=⫏≰212000012","layer":3},{"info":"⫏≰12111201⋝⋈⪟⫏≰21021100=⫏≰12111201","layer":3},{"info":"⫏≰212000012⋝⋈⪟⫏≰12111201=⫏≰212000012","layer":2},{"info":"⫏≰10211001⨸⪁⫏≰20000202=⫏≰201200120","layer":3},{"info":"⨰⫟⨤⫏≰2021200=NaN","layer":3},{"info":"⫏≰201200120⨰NaN=NaN","layer":2},{"info":"⫏≰212000012≭NaN=NaN","layer":1},{"info":"⫏≰10010022⨐⩸⫘⫏≰101012000=NaN","layer":3},{"info":"⫏≰22211212⨐⩸⫘⫏≰102021110=NaN","layer":3},{"info":"NaN⨟⋌⩍NaN=NaN","layer":2},{"info":"⫏≰22200111≋⫹=⫏≰-122100222","layer":3},{"info":"⇁⨣⪵⫏≰-122100222=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"((↔($4739$⪢$1295$))%$4582$≧⫂∧$6032$⩷∴($4171$⇼⇔∾$4863$))∀⇚≩((⪲⇎$3877$≎⊠⪸$1314$)↙($1446$⨟⋌⩍$4468$)⊴(⊄⩳↩$5498$))","expression":"((↔(⫏≰20111112⪢⫏≰1202222))%⫏≰20021201≧⫂∧⫏≰22021102⩷∴(⫏≰12201111⇼⇔∾⫏≰20200010))∀⇚≩((⪲⇎⫏≰12022121≎⊠⪸⫏≰1210200)↙(⫏≰1222120⨟⋌⩍⫏≰20010111)⊴(⊄⩳↩⫏≰21112122))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":86340,"operation_count":13,"complexity_ratio":6641.538461538462,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4739,"base":3},"right_expr":{"type":"numeric_atoms","value":1295,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4582,"base":3},"right_expr":{"type":"numeric_atoms","value":6032,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4171,"base":3},"right_expr":{"type":"numeric_atoms","value":4863,"base":3}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3877,"base":3},"right_expr":{"type":"numeric_atoms","value":1314,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1446,"base":3},"right_expr":{"type":"numeric_atoms","value":4468,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5498,"base":3}}}}},"used_operators":["LRNGc0VcxI","k8jYdgA6NY","ruOEQAzv1W","dWAJyo7jo9","9FxExcQeMw","Ph9nP6C5qx","tifHPKVTfV","yyfyN0ffXY","XPYlsWDdGa","bJkvcejdHO","Nsiff2A1zJ","rGHVDoGpnC","8w2t5hMYqp"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4739","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=4739, right_input=1295, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":"number node, value=4582","layer":4},{"info":"number node, value=6032","layer":4},{"info":"compute binary expreesion, left_input=4582, right_input=6032, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5559","layer":3},{"info":"number node, value=4171","layer":4},{"info":"number node, value=4863","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=4863, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=692","layer":3},{"info":"compute binary expreesion, left_input=5559, right_input=692, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9702","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=9702, op_id = k8jYdgA6NY binary_op_definition= 'None', output=9568","layer":1},{"info":"number node, value=3877","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=3877, right_input=1314, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1003670","layer":3},{"info":"compute unary expreesion, input=1003670, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2007340","layer":2},{"info":"number node, value=1446","layer":4},{"info":"number node, value=4468","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=4468, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=5498","layer":4},{"info":"compute unary expreesion, input=5498, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16494","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16494, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2007340, 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=9568, 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":3,"result_base":3,"text":"((↔(⫏≰20111112⪢⫏≰1202222))%⫏≰20021201≧⫂∧⫏≰22021102⩷∴(⫏≰12201111⇼⇔∾⫏≰20200010))∀⇚≩((⪲⇎⫏≰12022121≎⊠⪸⫏≰1210200)↙(⫏≰1222120⨟⋌⩍⫏≰20010111)⊴(⊄⩳↩⫏≰21112122))=NaN","reverse_text":"NaN=((↔(⫏≰20111112⪢⫏≰1202222))%⫏≰20021201≧⫂∧⫏≰22021102⩷∴(⫏≰12201111⇼⇔∾⫏≰20200010))∀⇚≩((⪲⇎⫏≰12022121≎⊠⪸⫏≰1210200)↙(⫏≰1222120⨟⋌⩍⫏≰20010111)⊴(⊄⩳↩⫏≰21112122))","cot":[{"info":"⫏≰20111112⪢⫏≰1202222=NaN","layer":3},{"info":"↔NaN=⫏≰-11222","layer":2},{"info":"⫏≰20021201≧⫂∧⫏≰22021102=⫏≰21121220","layer":3},{"info":"⫏≰12201111⇼⇔∾⫏≰20200010=⫏≰221122","layer":3},{"info":"⫏≰21121220⩷∴⫏≰221122=⫏≰111022100","layer":2},{"info":"⫏≰-11222%⫏≰111022100=⫏≰111010101","layer":1},{"info":"⫏≰12022121≎⊠⪸⫏≰1210200=⫏≰1212222202222","layer":3},{"info":"⪲⇎⫏≰1212222202222=⫏≰10202222112221","layer":2},{"info":"⫏≰1222120⨟⋌⩍⫏≰20010111=NaN","layer":3},{"info":"⊄⩳↩⫏≰21112122=⫏≰-211121220","layer":3},{"info":"NaN⊴⫏≰-211121220=NaN","layer":2},{"info":"⫏≰10202222112221↙NaN=NaN","layer":1},{"info":"⫏≰111010101∀⇚≩NaN=NaN","layer":0}]}
{"id":394,"expression_no_base_symbol":"∂((($7621$∲⫓$1912$)%(⨵≀≌$2643$))∑⇟⊟($1338$*$1898$⪒($4743$⨵⪆$4462$)))","expression":"∂(((⫏≰101110021∲⫓⫏≰2121211)%(⨵≀≌⫏≰10121220))∑⇟⊟(⫏≰1211120*⫏≰2121022⪒(⫏≰20111200⨵⪆⫏≰20010021)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1350,"operation_count":8,"complexity_ratio":168.75,"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":7621,"base":3},"right_expr":{"type":"numeric_atoms","value":1912,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2643,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1338,"base":3},"right_expr":{"type":"numeric_atoms","value":1898,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4743,"base":3},"right_expr":{"type":"numeric_atoms","value":4462,"base":3}}}}},"used_operators":["Uaa54Peajs","U7g4x0WXJJ","k8jYdgA6NY","i8ToyICDmI","srAu1WTS94","f6k1SAg4EE","9HNa5Wba9A","2DQ55sFlQl"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7621","layer":4},{"info":"number node, value=1912","layer":4},{"info":"compute binary expreesion, left_input=7621, right_input=1912, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2643","layer":4},{"info":"compute unary expreesion, input=2643, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7929","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7929, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1338","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=1898, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2539524","layer":3},{"info":"number node, value=4743","layer":4},{"info":"number node, value=4462","layer":4},{"info":"compute binary expreesion, left_input=4743, right_input=4462, 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=2539524, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2539684","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2539684, 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 = 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":3,"result_base":3,"text":"∂(((⫏≰101110021∲⫓⫏≰2121211)%(⨵≀≌⫏≰10121220))∑⇟⊟(⫏≰1211120*⫏≰2121022⪒(⫏≰20111200⨵⪆⫏≰20010021)))=NaN","reverse_text":"NaN=∂(((⫏≰101110021∲⫓⫏≰2121211)%(⨵≀≌⫏≰10121220))∑⇟⊟(⫏≰1211120*⫏≰2121022⪒(⫏≰20111200⨵⪆⫏≰20010021)))","cot":[{"info":"⫏≰101110021∲⫓⫏≰2121211=⫏≰0","layer":3},{"info":"⨵≀≌⫏≰10121220=⫏≰-101212200","layer":3},{"info":"⫏≰0%⫏≰-101212200=⫏≰0","layer":2},{"info":"⫏≰1211120*⫏≰2121022=⫏≰11210000120110","layer":3},{"info":"⫏≰20111200⨵⪆⫏≰20010021=⫏≰12221","layer":3},{"info":"⫏≰11210000120110⪒⫏≰12221=⫏≰-11210000210101","layer":2},{"info":"⫏≰0∑⇟⊟⫏≰-11210000210101=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":395,"expression_no_base_symbol":"($9241$⪛$5115$⪘⫢(⨑⩽⪐$3401$))∀⇚≩(≦∁$1272$≧⫂∧$2999$)⋝⋈⪟((⇁⨣⪵$4687$)⨐⩸⫘$1087$⨽$1369$↺(($3698$⊠≄⫣)+$2930$↙$1389$))","expression":"(⫏≰110200021⪛⫏≰21000110⪘⫢(⨑⩽⪐⫏≰11122222))∀⇚≩(≦∁⫏≰1202010≧⫂∧⫏≰11010002)⋝⋈⪟((⇁⨣⪵⫏≰20102121)⨐⩸⫘⫏≰1111021⨽⫏≰1212201↺((⫏≰12001222⊠≄⫣)+⫏≰11000112↙⫏≰1220110))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2519,"operation_count":14,"complexity_ratio":179.92857142857142,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":9241,"base":3},"right_expr":{"type":"numeric_atoms","value":5115,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3401,"base":3}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1272,"base":3},"right_expr":{"type":"numeric_atoms","value":2999,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4687,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1087,"base":3},"right_expr":{"type":"numeric_atoms","value":1369,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3698,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2930,"base":3},"right_expr":{"type":"numeric_atoms","value":1389,"base":3}}}}},"used_operators":["2DDjHMKMc0","LRNGc0VcxI","oacrs7FA3X","uFcxV4UQCh","AF7qkfDlqP","9ICcGScMcE","Ph9nP6C5qx","7j4O788W3g","fu6greOZ01","inkyxCbjAn","8HhzD0ZcuI","W4YGzv6Whe","DIvbN7qnHd","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","B5M0gjZbta","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫏≰10110120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9241","layer":4},{"info":"number node, value=5115","layer":4},{"info":"compute binary expreesion, left_input=9241, right_input=5115, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4126","layer":3},{"info":"number node, value=3401","layer":4},{"info":"compute unary expreesion, input=3401, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3128","layer":3},{"info":"compute binary expreesion, left_input=4126, right_input=-3128, 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=1272","layer":4},{"info":"number node, value=2999","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2999, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2526","layer":3},{"info":"compute unary expreesion, input=2526, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2526","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2526, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=2526","layer":1},{"info":"number node, value=4687","layer":4},{"info":"compute unary expreesion, input=4687, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1087","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=1369, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3547500","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3547500, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3698","layer":4},{"info":"compute unary expreesion, input=3698, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2930","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=2930, right_input=1389, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4167","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4167, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4167","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4167, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4167","layer":1},{"info":"compute binary expreesion, left_input=2526, right_input=-4167, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2526","layer":0}],"base":3,"result_base":3,"text":"(⫏≰110200021⪛⫏≰21000110⪘⫢(⨑⩽⪐⫏≰11122222))∀⇚≩(≦∁⫏≰1202010≧⫂∧⫏≰11010002)⋝⋈⪟((⇁⨣⪵⫏≰20102121)⨐⩸⫘⫏≰1111021⨽⫏≰1212201↺((⫏≰12001222⊠≄⫣)+⫏≰11000112↙⫏≰1220110))=⫏≰10110120","reverse_text":"⫏≰10110120=(⫏≰110200021⪛⫏≰21000110⪘⫢(⨑⩽⪐⫏≰11122222))∀⇚≩(≦∁⫏≰1202010≧⫂∧⫏≰11010002)⋝⋈⪟((⇁⨣⪵⫏≰20102121)⨐⩸⫘⫏≰1111021⨽⫏≰1212201↺((⫏≰12001222⊠≄⫣)+⫏≰11000112↙⫏≰1220110))","cot":[{"info":"⫏≰110200021⪛⫏≰21000110=⫏≰12122211","layer":3},{"info":"⨑⩽⪐⫏≰11122222=⫏≰-11021212","layer":3},{"info":"⫏≰12122211⪘⫢⫏≰-11021212=⫏≰0","layer":2},{"info":"⫏≰1202010≧⫂∧⫏≰11010002=⫏≰10110120","layer":3},{"info":"≦∁⫏≰10110120=⫏≰10110120","layer":2},{"info":"⫏≰0∀⇚≩⫏≰10110120=⫏≰10110120","layer":1},{"info":"⇁⨣⪵⫏≰20102121=NaN","layer":3},{"info":"⫏≰1111021⨽⫏≰1212201=⫏≰-20200020020220","layer":3},{"info":"NaN⨐⩸⫘⫏≰-20200020020220=NaN","layer":2},{"info":"⫏≰12001222⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰11000112↙⫏≰1220110=⫏≰-12201100","layer":3},{"info":"⫏≰0+⫏≰-12201100=⫏≰-12201100","layer":2},{"info":"NaN↺⫏≰-12201100=⫏≰-12201100","layer":1},{"info":"⫏≰10110120⋝⋈⪟⫏≰-12201100=⫏≰10110120","layer":0}]}
{"id":396,"expression_no_base_symbol":"(($1026$∲⫓$6080$⪨≂$8901$⋓$3926$)∀⇚≩($1190$⨰$6871$⩤))⪘⫢(⫓⪴(($4844$≦≮≮)*($1913$⋫)))","expression":"((⫏≰1102000∲⫓⫏≰22100012⪨≂⫏≰110012200⋓⫏≰12101102)∀⇚≩(⫏≰1122002⨰⫏≰100102111⩤))⪘⫢(⫓⪴((⫏≰20122102≦≮≮)*(⫏≰2121212⋫)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27804295,"operation_count":11,"complexity_ratio":2527663.1818181816,"tree":{"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":3},"right_expr":{"type":"numeric_atoms","value":6080,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8901,"base":3},"right_expr":{"type":"numeric_atoms","value":3926,"base":3}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1190,"base":3},"right_expr":{"type":"numeric_atoms","value":6871,"base":3}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4844,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1913,"base":3}}}}},"used_operators":["oacrs7FA3X","LRNGc0VcxI","sdazOOVcIp","i8ToyICDmI","T2fj7uvVaJ","Z2TMIBDE3Q","eewbuw0ToL","eLxqMNBOBk","9HNa5Wba9A","D4vGDi5EA2","JL8yIekQnl"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"number node, value=6080","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=6080, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=8901","layer":4},{"info":"number node, value=3926","layer":4},{"info":"compute binary expreesion, left_input=8901, 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":3},{"info":"compute binary expreesion, left_input=0, 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=102","layer":2},{"info":"number node, value=1190","layer":4},{"info":"number node, value=6871","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=6871, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5671","layer":3},{"info":"compute unary expreesion, input=-5671, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=5671","layer":2},{"info":"compute binary expreesion, left_input=102, right_input=5671, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4844","layer":4},{"info":"compute unary expreesion, input=4844, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-14532","layer":3},{"info":"number node, value=1913","layer":4},{"info":"compute unary expreesion, input=1913, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1913","layer":3},{"info":"compute binary expreesion, left_input=-14532, right_input=1913, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-27799716","layer":2},{"info":"compute unary expreesion, input=-27799716, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1102000∲⫓⫏≰22100012⪨≂⫏≰110012200⋓⫏≰12101102)∀⇚≩(⫏≰1122002⨰⫏≰100102111⩤))⪘⫢(⫓⪴((⫏≰20122102≦≮≮)*(⫏≰2121212⋫)))=NaN","reverse_text":"NaN=((⫏≰1102000∲⫓⫏≰22100012⪨≂⫏≰110012200⋓⫏≰12101102)∀⇚≩(⫏≰1122002⨰⫏≰100102111⩤))⪘⫢(⫓⪴((⫏≰20122102≦≮≮)*(⫏≰2121212⋫)))","cot":[{"info":"⫏≰1102000∲⫓⫏≰22100012=⫏≰0","layer":3},{"info":"⫏≰110012200⋓⫏≰12101102=⫏≰0","layer":3},{"info":"⫏≰0⪨≂⫏≰0=⫏≰10210","layer":2},{"info":"⫏≰1122002⨰⫏≰100102111=⫏≰-21210001","layer":3},{"info":"⫏≰-21210001⩤=⫏≰21210001","layer":2},{"info":"⫏≰10210∀⇚≩⫏≰21210001=NaN","layer":1},{"info":"⫏≰20122102≦≮≮=⫏≰-201221020","layer":3},{"info":"⫏≰2121212⋫=⫏≰2121212","layer":3},{"info":"⫏≰-201221020*⫏≰2121212=⫏≰-1221022101001010","layer":2},{"info":"⫓⪴⫏≰-1221022101001010=Inf","layer":1},{"info":"NaN⪘⫢Inf=NaN","layer":0}]}
{"id":397,"expression_no_base_symbol":"($5447$∀⇚≩$1065$≎⊠⪸($2295$↪⪝))⨰(($1469$↙$4130$)⊭∹↮)⩚⊴⇥(($4793$≧⫂∧$1405$)⨪↰⇹($7331$⊠≄⫣)↺((↯⪼$1141$)-($4380$⩠)))","expression":"(⫏≰21110202∀⇚≩⫏≰1110110≎⊠⪸(⫏≰10011000↪⪝))⨰((⫏≰2000102↙⫏≰12122222)⊭∹↮)⩚⊴⇥((⫏≰20120112≧⫂∧⫏≰1221001)⨪↰⇹(⫏≰101001112⊠≄⫣)↺((↯⪼⫏≰1120021)-(⫏≰20000020⩠)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":43972,"operation_count":14,"complexity_ratio":3140.8571428571427,"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":5447,"base":3},"right_expr":{"type":"numeric_atoms","value":1065,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2295,"base":3}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1469,"base":3},"right_expr":{"type":"numeric_atoms","value":4130,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4793,"base":3},"right_expr":{"type":"numeric_atoms","value":1405,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":7331,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1141,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4380,"base":3}}}}},"used_operators":["NTOWxs364D","eewbuw0ToL","bJkvcejdHO","LRNGc0VcxI","l07mrZUIn9","xNBdhnnwKq","yyfyN0ffXY","7j4O788W3g","tmPS8pqC7x","Ph9nP6C5qx","DIvbN7qnHd","rysDP5nf3Z","8jW3W4yZS5","sJAwomhLZr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","9HNa5Wba9A","2DDjHMKMc0","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5447","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=5447, right_input=1065, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2295","layer":4},{"info":"compute unary expreesion, input=2295, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=140412690","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=140412690, 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=1469","layer":4},{"info":"number node, value=4130","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=4130, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12390","layer":3},{"info":"compute unary expreesion, input=-12390, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-12390","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12390, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=4793","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=4793, right_input=1405, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=932","layer":3},{"info":"number node, value=7331","layer":4},{"info":"compute unary expreesion, input=7331, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=932, 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=932","layer":2},{"info":"number node, value=1141","layer":4},{"info":"compute unary expreesion, input=1141, 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=4380","layer":4},{"info":"compute unary expreesion, input=4380, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-21","layer":2},{"info":"compute binary expreesion, left_input=932, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21110202∀⇚≩⫏≰1110110≎⊠⪸(⫏≰10011000↪⪝))⨰((⫏≰2000102↙⫏≰12122222)⊭∹↮)⩚⊴⇥((⫏≰20120112≧⫂∧⫏≰1221001)⨪↰⇹(⫏≰101001112⊠≄⫣)↺((↯⪼⫏≰1120021)-(⫏≰20000020⩠)))=NaN","reverse_text":"NaN=(⫏≰21110202∀⇚≩⫏≰1110110≎⊠⪸(⫏≰10011000↪⪝))⨰((⫏≰2000102↙⫏≰12122222)⊭∹↮)⩚⊴⇥((⫏≰20120112≧⫂∧⫏≰1221001)⨪↰⇹(⫏≰101001112⊠≄⫣)↺((↯⪼⫏≰1120021)-(⫏≰20000020⩠)))","cot":[{"info":"⫏≰21110202∀⇚≩⫏≰1110110=NaN","layer":3},{"info":"⫏≰10011000↪⪝=⫏≰100210012201000000","layer":3},{"info":"NaN≎⊠⪸⫏≰100210012201000000=NaN","layer":2},{"info":"⫏≰2000102↙⫏≰12122222=⫏≰-121222220","layer":3},{"info":"⫏≰-121222220⊭∹↮=⫏≰-121222220","layer":2},{"info":"NaN⨰⫏≰-121222220=NaN","layer":1},{"info":"⫏≰20120112≧⫂∧⫏≰1221001=⫏≰1021112","layer":3},{"info":"⫏≰101001112⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰1021112⨪↰⇹⫏≰0=⫏≰1021112","layer":2},{"info":"↯⪼⫏≰1120021=⫏≰-210","layer":3},{"info":"⫏≰20000020⩠=⫏≰0","layer":3},{"info":"⫏≰-210-⫏≰0=⫏≰-210","layer":2},{"info":"⫏≰1021112↺⫏≰-210=⫏≰-210","layer":1},{"info":"NaN⩚⊴⇥⫏≰-210=NaN","layer":0}]}
{"id":398,"expression_no_base_symbol":"((($1050$↺$2462$)+⇶⊼($1544$+$2407$))∧)↛⩡⫤","expression":"(((⫏≰1102220↺⫏≰10101012)+⇶⊼(⫏≰2010012+⫏≰10022011))∧)↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":75,"operation_count":5,"complexity_ratio":15.0,"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":1050,"base":3},"right_expr":{"type":"numeric_atoms","value":2462,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1544,"base":3},"right_expr":{"type":"numeric_atoms","value":2407,"base":3}}}}},"used_operators":["FU0Cs4j7VP","z63VuFQld9","TpPTUOHfaN","7j4O788W3g","W4YGzv6Whe"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1050","layer":4},{"info":"number node, value=2462","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=2462, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2462","layer":3},{"info":"number node, value=1544","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=2407, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3951","layer":3},{"info":"compute binary expreesion, left_input=2462, right_input=3951, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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 = 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":3,"result_base":3,"text":"(((⫏≰1102220↺⫏≰10101012)+⇶⊼(⫏≰2010012+⫏≰10022011))∧)↛⩡⫤=NaN","reverse_text":"NaN=(((⫏≰1102220↺⫏≰10101012)+⇶⊼(⫏≰2010012+⫏≰10022011))∧)↛⩡⫤","cot":[{"info":"⫏≰1102220↺⫏≰10101012=⫏≰10101012","layer":3},{"info":"⫏≰2010012+⫏≰10022011=⫏≰12102100","layer":3},{"info":"⫏≰10101012+⇶⊼⫏≰12102100=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":399,"expression_no_base_symbol":"⩦⩻⨪(($1450$⫡⨏$2648$)*(↩$1102$)⨵⪆($2844$*$7107$)⨐⩸⫘(⨰⫟⨤$1024$))","expression":"⩦⩻⨪((⫏≰1222201⫡⨏⫏≰10122002)*(↩⫏≰1111211)⨵⪆(⫏≰10220100*⫏≰100202020)⨐⩸⫘(⨰⫟⨤⫏≰1101221))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12164,"operation_count":8,"complexity_ratio":1520.5,"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":1450,"base":3},"right_expr":{"type":"numeric_atoms","value":2648,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1102,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2844,"base":3},"right_expr":{"type":"numeric_atoms","value":7107,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1024,"base":3}}}}},"used_operators":["2td37pGCOC","2DQ55sFlQl","9HNa5Wba9A","QMFrweE19q","jLgFTUHLKL","fu6greOZ01","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1450","layer":4},{"info":"number node, value=2648","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=2648, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13329","layer":3},{"info":"number node, value=1102","layer":4},{"info":"compute unary expreesion, input=1102, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6036","layer":3},{"info":"compute binary expreesion, left_input=13329, right_input=-6036, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-80453844","layer":2},{"info":"number node, value=2844","layer":4},{"info":"number node, value=7107","layer":4},{"info":"compute binary expreesion, left_input=2844, right_input=7107, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20212308","layer":3},{"info":"number node, value=1024","layer":4},{"info":"compute unary expreesion, input=1024, 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=20212308, 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=-80453844, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=160","layer":0}],"base":3,"result_base":3,"text":"⩦⩻⨪((⫏≰1222201⫡⨏⫏≰10122002)*(↩⫏≰1111211)⨵⪆(⫏≰10220100*⫏≰100202020)⨐⩸⫘(⨰⫟⨤⫏≰1101221))=⫏≰12221","reverse_text":"⫏≰12221=⩦⩻⨪((⫏≰1222201⫡⨏⫏≰10122002)*(↩⫏≰1111211)⨵⪆(⫏≰10220100*⫏≰100202020)⨐⩸⫘(⨰⫟⨤⫏≰1101221))","cot":[{"info":"⫏≰1222201⫡⨏⫏≰10122002=⫏≰200021200","layer":3},{"info":"↩⫏≰1111211=⫏≰-22021120","layer":3},{"info":"⫏≰200021200*⫏≰-22021120=⫏≰-12121101110221000","layer":2},{"info":"⫏≰10220100*⫏≰100202020=⫏≰1102000220002000","layer":3},{"info":"⨰⫟⨤⫏≰1101221=NaN","layer":3},{"info":"⫏≰1102000220002000⨐⩸⫘NaN=NaN","layer":2},{"info":"⫏≰-12121101110221000⨵⪆NaN=⫏≰12221","layer":1},{"info":"⩦⩻⨪⫏≰12221=⫏≰12221","layer":0}]}
{"id":400,"expression_no_base_symbol":"((↥$1753$)⨳⩥⨓$1813$⨐⩸⫘$2393$)⋝⋈⪟(⨑⩽⪐($5391$-$6931$))⋷(⊥($5911$⊭↱$1421$⨵⪆$6793$⩷∴$2408$))","expression":"((↥⫏≰2101221)⨳⩥⨓⫏≰2111011⨐⩸⫘⫏≰10021122)⋝⋈⪟(⨑⩽⪐(⫏≰21101200-⫏≰100111201))⋷(⊥(⫏≰22002221⊭↱⫏≰1221122⨵⪆⫏≰100022121⩷∴⫏≰10022012))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26624,"operation_count":11,"complexity_ratio":2420.3636363636365,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1753,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1813,"base":3},"right_expr":{"type":"numeric_atoms","value":2393,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5391,"base":3},"right_expr":{"type":"numeric_atoms","value":6931,"base":3}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5911,"base":3},"right_expr":{"type":"numeric_atoms","value":1421,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6793,"base":3},"right_expr":{"type":"numeric_atoms","value":2408,"base":3}}}}},"used_operators":["23Mk6UjR3U","2DDjHMKMc0","nCS4ZIUYfx","A8NUZmVepG","fu6greOZ01","AF7qkfDlqP","rysDP5nf3Z","Q3PJZHRvZv","2DQ55sFlQl","COABgblf1C","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1753","layer":4},{"info":"compute unary expreesion, input=1753, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=19","layer":3},{"info":"number node, value=1813","layer":4},{"info":"number node, value=2393","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=2393, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=19, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=5391","layer":4},{"info":"number node, value=6931","layer":4},{"info":"compute binary expreesion, left_input=5391, right_input=6931, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1540","layer":3},{"info":"compute unary expreesion, input=-1540, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=3869","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3869, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=5911","layer":4},{"info":"number node, value=1421","layer":4},{"info":"compute binary expreesion, left_input=5911, right_input=1421, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8975","layer":3},{"info":"number node, value=6793","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=6793, right_input=2408, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8738","layer":3},{"info":"compute binary expreesion, left_input=-8975, right_input=8738, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-163","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-163, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↥⫏≰2101221)⨳⩥⨓⫏≰2111011⨐⩸⫘⫏≰10021122)⋝⋈⪟(⨑⩽⪐(⫏≰21101200-⫏≰100111201))⋷(⊥(⫏≰22002221⊭↱⫏≰1221122⨵⪆⫏≰100022121⩷∴⫏≰10022012))=NaN","reverse_text":"NaN=((↥⫏≰2101221)⨳⩥⨓⫏≰2111011⨐⩸⫘⫏≰10021122)⋝⋈⪟(⨑⩽⪐(⫏≰21101200-⫏≰100111201))⋷(⊥(⫏≰22002221⊭↱⫏≰1221122⨵⪆⫏≰100022121⩷∴⫏≰10022012))","cot":[{"info":"↥⫏≰2101221=⫏≰201","layer":3},{"info":"⫏≰2111011⨐⩸⫘⫏≰10021122=NaN","layer":3},{"info":"⫏≰201⨳⩥⨓NaN=NaN","layer":2},{"info":"⫏≰21101200-⫏≰100111201=⫏≰-2010001","layer":3},{"info":"⨑⩽⪐⫏≰-2010001=⫏≰12022022","layer":2},{"info":"NaN⋝⋈⪟⫏≰12022022=NaN","layer":1},{"info":"⫏≰22002221⊭↱⫏≰1221122=⫏≰-110022102","layer":3},{"info":"⫏≰100022121⩷∴⫏≰10022012=⫏≰102222122","layer":3},{"info":"⫏≰-110022102⨵⪆⫏≰102222122=⫏≰12221","layer":2},{"info":"⊥⫏≰12221=⫏≰-20001","layer":1},{"info":"NaN⋷⫏≰-20001=NaN","layer":0}]}
{"id":401,"expression_no_base_symbol":"($1238$≧⫂∧$3434$⨰($6793$⋝⋈⪟$1467$))⊴($1150$⨎$1564$⨐⩸⫘($1161$%$7875$))⋓(⊄⩳↩(($2394$⩚⊴⇥$1683$)⨰(⊙↵-$5602$)))","expression":"(⫏≰1200212≧⫂∧⫏≰11201012⨰(⫏≰100022121⋝⋈⪟⫏≰2000100))⊴(⫏≰1120121⨎⫏≰2010221⨐⩸⫘(⫏≰1121000%⫏≰101210200))⋓(⊄⩳↩((⫏≰10021200⩚⊴⇥⫏≰2022100)⨰(⊙↵-⫏≰21200111)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5693,"operation_count":12,"complexity_ratio":474.4166666666667,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1238,"base":3},"right_expr":{"type":"numeric_atoms","value":3434,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6793,"base":3},"right_expr":{"type":"numeric_atoms","value":1467,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1150,"base":3},"right_expr":{"type":"numeric_atoms","value":1564,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1161,"base":3},"right_expr":{"type":"numeric_atoms","value":7875,"base":3}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2394,"base":3},"right_expr":{"type":"numeric_atoms","value":1683,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5602,"base":3}}}}},"used_operators":["T2fj7uvVaJ","Nsiff2A1zJ","eewbuw0ToL","Ph9nP6C5qx","2DDjHMKMc0","fu6greOZ01","rJVOvQCfKK","k8jYdgA6NY","8w2t5hMYqp","NTOWxs364D","oWn0xqSxBt"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1238","layer":4},{"info":"number node, value=3434","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=3434, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2961","layer":3},{"info":"number node, value=6793","layer":4},{"info":"number node, value=1467","layer":4},{"info":"compute binary expreesion, left_input=6793, right_input=1467, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6793","layer":3},{"info":"compute binary expreesion, left_input=2961, right_input=6793, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3822","layer":2},{"info":"number node, value=1150","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=1564, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1564","layer":3},{"info":"number node, value=1161","layer":4},{"info":"number node, value=7875","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=7875, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1161","layer":3},{"info":"compute binary expreesion, left_input=1564, right_input=1161, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-3822, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2394","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=1683, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4198","layer":3},{"info":"number node, value=5602","layer":4},{"info":"compute unary expreesion, input=5602, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-4198, right_input=-1, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4187","layer":2},{"info":"compute unary expreesion, input=-4187, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=12561","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12561, op_id = T2fj7uvVaJ 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":3,"result_base":3,"text":"(⫏≰1200212≧⫂∧⫏≰11201012⨰(⫏≰100022121⋝⋈⪟⫏≰2000100))⊴(⫏≰1120121⨎⫏≰2010221⨐⩸⫘(⫏≰1121000%⫏≰101210200))⋓(⊄⩳↩((⫏≰10021200⩚⊴⇥⫏≰2022100)⨰(⊙↵-⫏≰21200111)))=⫏≰0","reverse_text":"⫏≰0=(⫏≰1200212≧⫂∧⫏≰11201012⨰(⫏≰100022121⋝⋈⪟⫏≰2000100))⊴(⫏≰1120121⨎⫏≰2010221⨐⩸⫘(⫏≰1121000%⫏≰101210200))⋓(⊄⩳↩((⫏≰10021200⩚⊴⇥⫏≰2022100)⨰(⊙↵-⫏≰21200111)))","cot":[{"info":"⫏≰1200212≧⫂∧⫏≰11201012=⫏≰11001200","layer":3},{"info":"⫏≰100022121⋝⋈⪟⫏≰2000100=⫏≰100022121","layer":3},{"info":"⫏≰11001200⨰⫏≰100022121=⫏≰-12020120","layer":2},{"info":"⫏≰1120121⨎⫏≰2010221=⫏≰2010221","layer":3},{"info":"⫏≰1121000%⫏≰101210200=⫏≰1121000","layer":3},{"info":"⫏≰2010221⨐⩸⫘⫏≰1121000=NaN","layer":2},{"info":"⫏≰-12020120⊴NaN=NaN","layer":1},{"info":"⫏≰10021200⩚⊴⇥⫏≰2022100=⫏≰-12202111","layer":3},{"info":"⊙↵-⫏≰21200111=⫏≰-1","layer":3},{"info":"⫏≰-12202111⨰⫏≰-1=⫏≰-12202002","layer":2},{"info":"⊄⩳↩⫏≰-12202002=⫏≰122020020","layer":1},{"info":"NaN⋓⫏≰122020020=⫏≰0","layer":0}]}
{"id":402,"expression_no_base_symbol":"(⨰⫟⨤((⫓⪴$6297$)∲⫓$2094$⋳⪒$1004$))⪐","expression":"(⨰⫟⨤((⫓⪴⫏≰22122020)∲⫓⫏≰2212120⋳⪒⫏≰1101012))⪐","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7202,"operation_count":5,"complexity_ratio":1440.4,"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":6297,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2094,"base":3},"right_expr":{"type":"numeric_atoms","value":1004,"base":3}}}}},"used_operators":["eH2TOUuTDT","Tw270M8GLb","i8ToyICDmI","eLxqMNBOBk","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰121220111112210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6297","layer":4},{"info":"compute unary expreesion, input=6297, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=39652209","layer":3},{"info":"number node, value=2094","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=2094, right_input=1004, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2897","layer":3},{"info":"compute binary expreesion, left_input=39652209, right_input=2897, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":1},{"info":"compute unary expreesion, input=4492662, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8985324","layer":0}],"base":3,"result_base":3,"text":"(⨰⫟⨤((⫓⪴⫏≰22122020)∲⫓⫏≰2212120⋳⪒⫏≰1101012))⪐=⫏≰121220111112210","reverse_text":"⫏≰121220111112210=(⨰⫟⨤((⫓⪴⫏≰22122020)∲⫓⫏≰2212120⋳⪒⫏≰1101012))⪐","cot":[{"info":"⫓⪴⫏≰22122020=⫏≰2202121112121100","layer":3},{"info":"⫏≰2212120⋳⪒⫏≰1101012=⫏≰10222022","layer":3},{"info":"⫏≰2202121112121100∲⫓⫏≰10222022=⫏≰0","layer":2},{"info":"⨰⫟⨤⫏≰0=⫏≰22110020202220","layer":1},{"info":"⫏≰22110020202220⪐=⫏≰121220111112210","layer":0}]}
{"id":403,"expression_no_base_symbol":"((⊄⩳↩(-$2247$))⨸⪁(⇁⨣⪵$2352$)⋓$4012$⪘⫢$5473$)⫥∨⫟$5913$∼$1959$⨪↰⇹(∥⊫$7316$)≎⊠⪸(↽≂$5199$)⋝⋈⪟$1137$⨟⋌⩍$1217$","expression":"((⊄⩳↩(-⫏≰10002020))⨸⪁(⇁⨣⪵⫏≰10020010)⋓⫏≰12111121⪘⫢⫏≰21111201)⫥∨⫟⫏≰22010000∼⫏≰2200120⨪↰⇹(∥⊫⫏≰101000222)≎⊠⪸(↽≂⫏≰21010120)⋝⋈⪟⫏≰1120010⨟⋌⩍⫏≰1200002","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":330,"operation_count":14,"complexity_ratio":23.571428571428573,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2247,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2352,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4012,"base":3},"right_expr":{"type":"numeric_atoms","value":5473,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5913,"base":3},"right_expr":{"type":"numeric_atoms","value":1959,"base":3}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7316,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5199,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1137,"base":3},"right_expr":{"type":"numeric_atoms","value":1217,"base":3}}}}},"used_operators":["KYD54nUTWz","g55IO6H4Gj","8w2t5hMYqp","t8gj7n24qd","T2fj7uvVaJ","inkyxCbjAn","oacrs7FA3X","bJkvcejdHO","tmPS8pqC7x","DyGG3AbaNP","P8v4zCKN1o","2DDjHMKMc0","u6S6b8DprG","rGHVDoGpnC"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2247","layer":4},{"info":"compute unary expreesion, input=2247, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2247","layer":3},{"info":"compute unary expreesion, input=-2247, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=6741","layer":2},{"info":"number node, value=2352","layer":4},{"info":"compute unary expreesion, input=2352, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4012","layer":4},{"info":"number node, value=5473","layer":4},{"info":"compute binary expreesion, left_input=4012, right_input=5473, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7900","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7900, op_id = T2fj7uvVaJ 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=6741, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13482","layer":1},{"info":"number node, value=5913","layer":4},{"info":"number node, value=1959","layer":4},{"info":"compute binary expreesion, left_input=5913, right_input=1959, 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=7316","layer":4},{"info":"compute unary expreesion, input=7316, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8184","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8184, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=5199","layer":4},{"info":"compute unary expreesion, input=5199, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10398","layer":3},{"info":"number node, value=1137","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=1217, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-10398, 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 = 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=13482, right_input=67, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊄⩳↩(-⫏≰10002020))⨸⪁(⇁⨣⪵⫏≰10020010)⋓⫏≰12111121⪘⫢⫏≰21111201)⫥∨⫟⫏≰22010000∼⫏≰2200120⨪↰⇹(∥⊫⫏≰101000222)≎⊠⪸(↽≂⫏≰21010120)⋝⋈⪟⫏≰1120010⨟⋌⩍⫏≰1200002=NaN","reverse_text":"NaN=((⊄⩳↩(-⫏≰10002020))⨸⪁(⇁⨣⪵⫏≰10020010)⋓⫏≰12111121⪘⫢⫏≰21111201)⫥∨⫟⫏≰22010000∼⫏≰2200120⨪↰⇹(∥⊫⫏≰101000222)≎⊠⪸(↽≂⫏≰21010120)⋝⋈⪟⫏≰1120010⨟⋌⩍⫏≰1200002","cot":[{"info":"-⫏≰10002020=⫏≰-10002020","layer":3},{"info":"⊄⩳↩⫏≰-10002020=⫏≰100020200","layer":2},{"info":"⇁⨣⪵⫏≰10020010=NaN","layer":3},{"info":"⫏≰12111121⪘⫢⫏≰21111201=⫏≰101211121","layer":3},{"info":"NaN⋓⫏≰101211121=⫏≰0","layer":2},{"info":"⫏≰100020200⨸⪁⫏≰0=⫏≰200111100","layer":1},{"info":"⫏≰22010000∼⫏≰2200120=NaN","layer":3},{"info":"∥⊫⫏≰101000222=⫏≰102020010","layer":3},{"info":"NaN⨪↰⇹⫏≰102020010=NaN","layer":2},{"info":"↽≂⫏≰21010120=⫏≰-112021010","layer":3},{"info":"⫏≰1120010⨟⋌⩍⫏≰1200002=NaN","layer":3},{"info":"⫏≰-112021010⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"⫏≰200111100⫥∨⫟⫏≰2111=NaN","layer":0}]}
{"id":404,"expression_no_base_symbol":"((⪝⪂⫅$3317$)+⇶⊼($4713$⪐)-((⇁⨣⪵$3526$)⋷$4120$⫥∨⫟$2509$))⨎($1477$≎⊠⪸$6297$≭($2924$*$3088$)⇼⇔∾($1411$⨵⪆$2413$)⊴($3886$∑⇟⊟$2691$))","expression":"((⪝⪂⫅⫏≰11112212)+⇶⊼(⫏≰20110120⪐)-((⇁⨣⪵⫏≰11211121)⋷⫏≰12122121⫥∨⫟⫏≰10102221))⨎(⫏≰2000201≎⊠⪸⫏≰22122020≭(⫏≰11000022*⫏≰11020101)⇼⇔∾(⫏≰1221021⨵⪆⫏≰10022101)⊴(⫏≰12022221∑⇟⊟⫏≰10200200))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3518,"operation_count":15,"complexity_ratio":234.53333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3317,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4713,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3526,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4120,"base":3},"right_expr":{"type":"numeric_atoms","value":2509,"base":3}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1477,"base":3},"right_expr":{"type":"numeric_atoms","value":6297,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2924,"base":3},"right_expr":{"type":"numeric_atoms","value":3088,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1411,"base":3},"right_expr":{"type":"numeric_atoms","value":2413,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3886,"base":3},"right_expr":{"type":"numeric_atoms","value":2691,"base":3}}}}},"used_operators":["rJVOvQCfKK","rysDP5nf3Z","TpPTUOHfaN","XTarYq4gQB","eH2TOUuTDT","23Mk6UjR3U","inkyxCbjAn","KYD54nUTWz","tifHPKVTfV","rxpJgHHUmx","bJkvcejdHO","9HNa5Wba9A","Nsiff2A1zJ","2DQ55sFlQl","U7g4x0WXJJ"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3317","layer":4},{"info":"compute unary expreesion, input=3317, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-487599","layer":3},{"info":"number node, value=4713","layer":4},{"info":"compute unary expreesion, input=4713, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=9426","layer":3},{"info":"compute binary expreesion, left_input=-487599, right_input=9426, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3526","layer":4},{"info":"compute unary expreesion, input=3526, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4120","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=4120, right_input=2509, 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 = 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1477","layer":4},{"info":"number node, value=6297","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=6297, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=382070","layer":3},{"info":"number node, value=2924","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=2924, right_input=3088, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9029312","layer":3},{"info":"compute binary expreesion, left_input=382070, right_input=9029312, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1411","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=2413, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3886","layer":4},{"info":"number node, value=2691","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=2691, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=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":3,"result_base":3,"text":"((⪝⪂⫅⫏≰11112212)+⇶⊼(⫏≰20110120⪐)-((⇁⨣⪵⫏≰11211121)⋷⫏≰12122121⫥∨⫟⫏≰10102221))⨎(⫏≰2000201≎⊠⪸⫏≰22122020≭(⫏≰11000022*⫏≰11020101)⇼⇔∾(⫏≰1221021⨵⪆⫏≰10022101)⊴(⫏≰12022221∑⇟⊟⫏≰10200200))=NaN","reverse_text":"NaN=((⪝⪂⫅⫏≰11112212)+⇶⊼(⫏≰20110120⪐)-((⇁⨣⪵⫏≰11211121)⋷⫏≰12122121⫥∨⫟⫏≰10102221))⨎(⫏≰2000201≎⊠⪸⫏≰22122020≭(⫏≰11000022*⫏≰11020101)⇼⇔∾(⫏≰1221021⨵⪆⫏≰10022101)⊴(⫏≰12022221∑⇟⊟⫏≰10200200))","cot":[{"info":"⪝⪂⫅⫏≰11112212=⫏≰-220202212020","layer":3},{"info":"⫏≰20110120⪐=⫏≰110221010","layer":3},{"info":"⫏≰-220202212020+⇶⊼⫏≰110221010=NaN","layer":2},{"info":"⇁⨣⪵⫏≰11211121=NaN","layer":3},{"info":"⫏≰12122121⫥∨⫟⫏≰10102221=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⫏≰2000201≎⊠⪸⫏≰22122020=⫏≰201102002202","layer":3},{"info":"⫏≰11000022*⫏≰11020101=⫏≰121222201212222","layer":3},{"info":"⫏≰201102002202≭⫏≰121222201212222=NaN","layer":2},{"info":"⫏≰1221021⨵⪆⫏≰10022101=⫏≰12221","layer":3},{"info":"⫏≰12022221∑⇟⊟⫏≰10200200=NaN","layer":3},{"info":"⫏≰12221⊴NaN=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"↽≂(($1061$⫌⩹⨱)⋓($6984$⊠≄⫣))≹⇙⪍(($1845$-$3427$)⨽$1593$≧⫂∧$3981$)","expression":"↽≂((⫏≰1110022⫌⩹⨱)⋓(⫏≰100120200⊠≄⫣))≹⇙⪍((⫏≰2112100-⫏≰11200221)⨽⫏≰2012000≧⫂∧⫏≰12110110)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1620,"operation_count":8,"complexity_ratio":202.5,"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":1061,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":6984,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1845,"base":3},"right_expr":{"type":"numeric_atoms","value":3427,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1593,"base":3},"right_expr":{"type":"numeric_atoms","value":3981,"base":3}}}}},"used_operators":["u6S6b8DprG","AHs5Up7iyr","T2fj7uvVaJ","EBcxylXtPf","DIvbN7qnHd","8HhzD0ZcuI","rysDP5nf3Z","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3523","layer":3},{"info":"number node, value=6984","layer":4},{"info":"compute unary expreesion, input=6984, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3523, 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=1845","layer":4},{"info":"number node, value=3427","layer":4},{"info":"compute binary expreesion, left_input=1845, right_input=3427, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1582","layer":3},{"info":"number node, value=1593","layer":4},{"info":"number node, value=3981","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=3981, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3508","layer":3},{"info":"compute binary expreesion, left_input=-1582, right_input=3508, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7517382","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-7517382, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↽≂((⫏≰1110022⫌⩹⨱)⋓(⫏≰100120200⊠≄⫣))≹⇙⪍((⫏≰2112100-⫏≰11200221)⨽⫏≰2012000≧⫂∧⫏≰12110110)=NaN","reverse_text":"NaN=↽≂((⫏≰1110022⫌⩹⨱)⋓(⫏≰100120200⊠≄⫣))≹⇙⪍((⫏≰2112100-⫏≰11200221)⨽⫏≰2012000≧⫂∧⫏≰12110110)","cot":[{"info":"⫏≰1110022⫌⩹⨱=⫏≰11211111","layer":3},{"info":"⫏≰100120200⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰11211111⋓⫏≰0=⫏≰0","layer":2},{"info":"⫏≰2112100-⫏≰11200221=⫏≰-2011121","layer":3},{"info":"⫏≰2012000≧⫂∧⫏≰12110110=⫏≰11210221","layer":3},{"info":"⫏≰-2011121⨽⫏≰11210221=⫏≰-112010220220120","layer":2},{"info":"⫏≰0≹⇙⪍⫏≰-112010220220120=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":406,"expression_no_base_symbol":"(($4807$⪄$5338$⪒$7320$⊭↱$5441$)⇼⇔∾(⇁⨣⪵$1585$⋝⋈⪟$2749$))≎⊠⪸((-$7029$)⋳⪒($3319$⫥∨⫟$1848$)⨽($4853$⪘⫢$1165$*$2563$⋝⋈⪟$5632$))","expression":"((⫏≰20121001⪄⫏≰21022201⪒⫏≰101001010⊭↱⫏≰21110112)⇼⇔∾(⇁⨣⪵⫏≰2011201⋝⋈⪟⫏≰10202211))≎⊠⪸((-⫏≰100122100)⋳⪒(⫏≰11112221⫥∨⫟⫏≰2112110)⨽(⫏≰20122202⪘⫢⫏≰1121011*⫏≰10111221⋝⋈⪟⫏≰21201121))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2874,"operation_count":14,"complexity_ratio":205.28571428571428,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4807,"base":3},"right_expr":{"type":"numeric_atoms","value":5338,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7320,"base":3},"right_expr":{"type":"numeric_atoms","value":5441,"base":3}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1585,"base":3},"right_expr":{"type":"numeric_atoms","value":2749,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":7029,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3319,"base":3},"right_expr":{"type":"numeric_atoms","value":1848,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4853,"base":3},"right_expr":{"type":"numeric_atoms","value":1165,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2563,"base":3},"right_expr":{"type":"numeric_atoms","value":5632,"base":3}}}}},"used_operators":["bJkvcejdHO","tifHPKVTfV","f6k1SAg4EE","SUmda5xLS4","COABgblf1C","inkyxCbjAn","2DDjHMKMc0","8HhzD0ZcuI","12rbrZMWeM","t8gj7n24qd","KYD54nUTWz","9HNa5Wba9A","oacrs7FA3X"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4807","layer":4},{"info":"number node, value=5338","layer":4},{"info":"compute binary expreesion, left_input=4807, right_input=5338, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-728877","layer":3},{"info":"number node, value=7320","layer":4},{"info":"number node, value=5441","layer":4},{"info":"compute binary expreesion, left_input=7320, right_input=5441, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3753","layer":3},{"info":"compute binary expreesion, left_input=-728877, right_input=-3753, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=732630","layer":2},{"info":"number node, value=1585","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=2749, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1585","layer":3},{"info":"compute unary expreesion, input=1585, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=732630, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=7029","layer":4},{"info":"compute unary expreesion, input=7029, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-7029","layer":3},{"info":"number node, value=3319","layer":4},{"info":"number node, value=1848","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=1848, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7029, 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=4853","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=4853, right_input=1165, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9582","layer":3},{"info":"number node, value=2563","layer":4},{"info":"number node, value=5632","layer":4},{"info":"compute binary expreesion, left_input=2563, right_input=5632, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2563","layer":3},{"info":"compute binary expreesion, left_input=9582, right_input=2563, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=24558666","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24558666, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20121001⪄⫏≰21022201⪒⫏≰101001010⊭↱⫏≰21110112)⇼⇔∾(⇁⨣⪵⫏≰2011201⋝⋈⪟⫏≰10202211))≎⊠⪸((-⫏≰100122100)⋳⪒(⫏≰11112221⫥∨⫟⫏≰2112110)⨽(⫏≰20122202⪘⫢⫏≰1121011*⫏≰10111221⋝⋈⪟⫏≰21201121))=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰20121001⪄⫏≰21022201⪒⫏≰101001010⊭↱⫏≰21110112)⇼⇔∾(⇁⨣⪵⫏≰2011201⋝⋈⪟⫏≰10202211))≎⊠⪸((-⫏≰100122100)⋳⪒(⫏≰11112221⫥∨⫟⫏≰2112110)⨽(⫏≰20122202⪘⫢⫏≰1121011*⫏≰10111221⋝⋈⪟⫏≰21201121))","cot":[{"info":"⫏≰20121001⪄⫏≰21022201=⫏≰-1101000211110","layer":3},{"info":"⫏≰101001010⊭↱⫏≰21110112=⫏≰-12011000","layer":3},{"info":"⫏≰-1101000211110⪒⫏≰-12011000=⫏≰1101012222110","layer":2},{"info":"⫏≰2011201⋝⋈⪟⫏≰10202211=⫏≰2011201","layer":3},{"info":"⇁⨣⪵⫏≰2011201=NaN","layer":2},{"info":"⫏≰1101012222110⇼⇔∾NaN=NaN","layer":1},{"info":"-⫏≰100122100=⫏≰-100122100","layer":3},{"info":"⫏≰11112221⫥∨⫟⫏≰2112110=NaN","layer":3},{"info":"⫏≰-100122100⋳⪒NaN=NaN","layer":2},{"info":"⫏≰20122202⪘⫢⫏≰1121011=⫏≰111010220","layer":3},{"info":"⫏≰10111221⋝⋈⪟⫏≰21201121=⫏≰10111221","layer":3},{"info":"⫏≰111010220*⫏≰10111221=⫏≰1201012201011020","layer":2},{"info":"NaN⨽⫏≰1201012201011020=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⫏≰2111","layer":0}]}
{"id":407,"expression_no_base_symbol":"((($7880$↛⩡⫤)⩷∴($1340$⋫))⇷(+⊝⨔($2785$↪⪝)))⪮%⊝(($1001$⨓$9517$≎⊠⪸(⊄⩳↩$7307$))≧⫂∧(($6005$⩚⊴⇥$1242$)≧⫂∧$3965$∑⇟⊟$2013$))","expression":"(((⫏≰101210212↛⩡⫤)⩷∴(⫏≰1211122⋫))⇷(+⊝⨔(⫏≰10211011↪⪝)))⪮%⊝((⫏≰1101002⨓⫏≰111001111≎⊠⪸(⊄⩳↩⫏≰101000122))≧⫂∧((⫏≰22020102⩚⊴⇥⫏≰1201000)≧⫂∧⫏≰12102212∑⇟⊟⫏≰2202120))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":35419,"operation_count":14,"complexity_ratio":2529.9285714285716,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7880,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1340,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2785,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1001,"base":3},"right_expr":{"type":"numeric_atoms","value":9517,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":7307,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6005,"base":3},"right_expr":{"type":"numeric_atoms","value":1242,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3965,"base":3},"right_expr":{"type":"numeric_atoms","value":2013,"base":3}}}}},"used_operators":["IWmyXbctLI","mp7IySMOzn","9FxExcQeMw","FU0Cs4j7VP","JL8yIekQnl","DhbWaqg5eL","l07mrZUIn9","Ph9nP6C5qx","bJkvcejdHO","3ViojmjbAp","8w2t5hMYqp","NTOWxs364D","U7g4x0WXJJ"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7880","layer":4},{"info":"compute unary expreesion, input=7880, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1185969","layer":3},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1340","layer":3},{"info":"compute binary expreesion, left_input=-1185969, right_input=1340, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2374650","layer":2},{"info":"number node, value=2785","layer":4},{"info":"compute unary expreesion, input=2785, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=170391870","layer":3},{"info":"compute unary expreesion, input=170391870, 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=-2374650, right_input=1522, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3044","layer":1},{"info":"number node, value=1001","layer":4},{"info":"number node, value=9517","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=9517, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9520","layer":3},{"info":"number node, value=7307","layer":4},{"info":"compute unary expreesion, input=7307, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-21921","layer":3},{"info":"compute binary expreesion, left_input=-9520, right_input=-21921, 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=6005","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=6005, right_input=1242, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7368","layer":3},{"info":"number node, value=3965","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=3965, right_input=2013, 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=-7368, 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=67, 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=3044, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰101210212↛⩡⫤)⩷∴(⫏≰1211122⋫))⇷(+⊝⨔(⫏≰10211011↪⪝)))⪮%⊝((⫏≰1101002⨓⫏≰111001111≎⊠⪸(⊄⩳↩⫏≰101000122))≧⫂∧((⫏≰22020102⩚⊴⇥⫏≰1201000)≧⫂∧⫏≰12102212∑⇟⊟⫏≰2202120))=NaN","reverse_text":"NaN=(((⫏≰101210212↛⩡⫤)⩷∴(⫏≰1211122⋫))⇷(+⊝⨔(⫏≰10211011↪⪝)))⪮%⊝((⫏≰1101002⨓⫏≰111001111≎⊠⪸(⊄⩳↩⫏≰101000122))≧⫂∧((⫏≰22020102⩚⊴⇥⫏≰1201000)≧⫂∧⫏≰12102212∑⇟⊟⫏≰2202120))","cot":[{"info":"⫏≰101210212↛⩡⫤=⫏≰-2020020211210","layer":3},{"info":"⫏≰1211122⋫=⫏≰1211122","layer":3},{"info":"⫏≰-2020020211210⩷∴⫏≰1211122=⫏≰-11110122102000","layer":2},{"info":"⫏≰10211011↪⪝=⫏≰102212121210201000","layer":3},{"info":"+⊝⨔⫏≰102212121210201000=⫏≰2002101","layer":2},{"info":"⫏≰-11110122102000⇷⫏≰2002101=⫏≰11011202","layer":1},{"info":"⫏≰1101002⨓⫏≰111001111=⫏≰-111001121","layer":3},{"info":"⊄⩳↩⫏≰101000122=⫏≰-1010001220","layer":3},{"info":"⫏≰-111001121≎⊠⪸⫏≰-1010001220=⫏≰2111","layer":2},{"info":"⫏≰22020102⩚⊴⇥⫏≰1201000=⫏≰-101002220","layer":3},{"info":"⫏≰12102212∑⇟⊟⫏≰2202120=NaN","layer":3},{"info":"⫏≰-101002220≧⫂∧NaN=NaN","layer":2},{"info":"⫏≰2111≧⫂∧NaN=NaN","layer":1},{"info":"⫏≰11011202⪮%⊝NaN=NaN","layer":0}]}
{"id":408,"expression_no_base_symbol":"(((⨈⫕$2872$)/$4511$⋝⋈⪟$3169$)↬($1472$⪮%⊝$8102$)⨟⋌⩍(↔$3686$))⪮%⊝(($4366$⫥∨⫟$1756$%($6923$+$6131$))⫥∨⫟($1131$⩨$2482$+($2291$≣⋋)))","expression":"(((⨈⫕⫏≰10221101)/⫏≰20012002⋝⋈⪟⫏≰11100101)↬(⫏≰2000112⪮%⊝⫏≰102010002)⨟⋌⩍(↔⫏≰12001112))⪮%⊝((⫏≰12222201⫥∨⫟⫏≰2102001%(⫏≰100111102+⫏≰22102002))⫥∨⫟(⫏≰1112220⩨⫏≰10101221+(⫏≰10010212≣⋋)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1247,"operation_count":15,"complexity_ratio":83.13333333333334,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2872,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4511,"base":3},"right_expr":{"type":"numeric_atoms","value":3169,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1472,"base":3},"right_expr":{"type":"numeric_atoms","value":8102,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3686,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4366,"base":3},"right_expr":{"type":"numeric_atoms","value":1756,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6923,"base":3},"right_expr":{"type":"numeric_atoms","value":6131,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1131,"base":3},"right_expr":{"type":"numeric_atoms","value":2482,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2291,"base":3}}}}},"used_operators":["IWmyXbctLI","B5M0gjZbta","XhwjNDsVaA","megm06wKyl","2DDjHMKMc0","rGHVDoGpnC","ruOEQAzv1W","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","2DlMacCsIx","Tcnh7f0tEr"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2872","layer":4},{"info":"compute unary expreesion, input=2872, 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=4511","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=4511, right_input=3169, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4511","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=4511, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1472","layer":4},{"info":"number node, value=8102","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=8102, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3260","layer":3},{"info":"number node, value=3686","layer":4},{"info":"compute unary expreesion, input=3686, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3413","layer":3},{"info":"compute binary expreesion, left_input=3260, right_input=-3413, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-1, 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=4366","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=4366, right_input=1756, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6923","layer":4},{"info":"number node, value=6131","layer":4},{"info":"compute binary expreesion, left_input=6923, right_input=6131, op_id = W4YGzv6Whe binary_op_definition= 'None', output=13054","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13054, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1131","layer":4},{"info":"number node, value=2482","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=2482, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=2291","layer":4},{"info":"compute unary expreesion, input=2291, 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=-6, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-6","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⨈⫕⫏≰10221101)/⫏≰20012002⋝⋈⪟⫏≰11100101)↬(⫏≰2000112⪮%⊝⫏≰102010002)⨟⋌⩍(↔⫏≰12001112))⪮%⊝((⫏≰12222201⫥∨⫟⫏≰2102001%(⫏≰100111102+⫏≰22102002))⫥∨⫟(⫏≰1112220⩨⫏≰10101221+(⫏≰10010212≣⋋)))=NaN","reverse_text":"NaN=(((⨈⫕⫏≰10221101)/⫏≰20012002⋝⋈⪟⫏≰11100101)↬(⫏≰2000112⪮%⊝⫏≰102010002)⨟⋌⩍(↔⫏≰12001112))⪮%⊝((⫏≰12222201⫥∨⫟⫏≰2102001%(⫏≰100111102+⫏≰22102002))⫥∨⫟(⫏≰1112220⩨⫏≰10101221+(⫏≰10010212≣⋋)))","cot":[{"info":"⨈⫕⫏≰10221101=⫏≰-210","layer":3},{"info":"⫏≰20012002⋝⋈⪟⫏≰11100101=⫏≰20012002","layer":3},{"info":"⫏≰-210/⫏≰20012002=⫏≰-1","layer":2},{"info":"⫏≰2000112⪮%⊝⫏≰102010002=⫏≰11110202","layer":3},{"info":"↔⫏≰12001112=⫏≰-11200102","layer":3},{"info":"⫏≰11110202⨟⋌⩍⫏≰-11200102=NaN","layer":2},{"info":"⫏≰-1↬NaN=NaN","layer":1},{"info":"⫏≰12222201⫥∨⫟⫏≰2102001=NaN","layer":3},{"info":"⫏≰100111102+⫏≰22102002=⫏≰122220111","layer":3},{"info":"NaN%⫏≰122220111=NaN","layer":2},{"info":"⫏≰1112220⩨⫏≰10101221=⫏≰-20","layer":3},{"info":"⫏≰10010212≣⋋=⫏≰0","layer":3},{"info":"⫏≰-20+⫏≰0=⫏≰-20","layer":2},{"info":"NaN⫥∨⫟⫏≰-20=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":409,"expression_no_base_symbol":"(↥($1656$⊭↱$2917$))⊉≛↸($3808$⇼⇔∾$1575$)⨪↰⇹($6803$⫥∨⫟$1788$)⫡⨏(⫛⫱⨽($1797$⩷∴$1320$))⩷∴(($5913$⩠)⊭↱($3814$+$1021$))","expression":"(↥(⫏≰2021100⊭↱⫏≰11000001))⊉≛↸(⫏≰12020001⇼⇔∾⫏≰2011100)⨪↰⇹(⫏≰100022222⫥∨⫟⫏≰2110020)⫡⨏(⫛⫱⨽(⫏≰2110120⩷∴⫏≰1210220))⩷∴((⫏≰22010000⩠)⊭↱(⫏≰12020021+⫏≰1101211))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3912,"operation_count":13,"complexity_ratio":300.9230769230769,"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":1656,"base":3},"right_expr":{"type":"numeric_atoms","value":2917,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3808,"base":3},"right_expr":{"type":"numeric_atoms","value":1575,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6803,"base":3},"right_expr":{"type":"numeric_atoms","value":1788,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1797,"base":3},"right_expr":{"type":"numeric_atoms","value":1320,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5913,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3814,"base":3},"right_expr":{"type":"numeric_atoms","value":1021,"base":3}}}}},"used_operators":["QMFrweE19q","DZ8iAZOCBD","A8NUZmVepG","COABgblf1C","tmPS8pqC7x","tifHPKVTfV","KYD54nUTWz","9FxExcQeMw","DlLNRPXxWL","sJAwomhLZr","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫏≰-1220201100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1656","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=2917, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2527","layer":3},{"info":"compute unary expreesion, input=2527, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=28","layer":2},{"info":"number node, value=3808","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=3808, right_input=1575, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2233","layer":3},{"info":"number node, value=6803","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=6803, right_input=1788, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2233, 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=2233","layer":2},{"info":"compute binary expreesion, left_input=28, right_input=2233, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=56","layer":1},{"info":"number node, value=1797","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=1320, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=922","layer":3},{"info":"compute unary expreesion, input=922, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=5913","layer":4},{"info":"compute unary expreesion, input=5913, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=3814","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=3814, right_input=1021, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4835","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4835, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9675","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9675, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-19382","layer":1},{"info":"compute binary expreesion, left_input=56, right_input=-19382, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-37701","layer":0}],"base":3,"result_base":3,"text":"(↥(⫏≰2021100⊭↱⫏≰11000001))⊉≛↸(⫏≰12020001⇼⇔∾⫏≰2011100)⨪↰⇹(⫏≰100022222⫥∨⫟⫏≰2110020)⫡⨏(⫛⫱⨽(⫏≰2110120⩷∴⫏≰1210220))⩷∴((⫏≰22010000⩠)⊭↱(⫏≰12020021+⫏≰1101211))=⫏≰-1220201100","reverse_text":"⫏≰-1220201100=(↥(⫏≰2021100⊭↱⫏≰11000001))⊉≛↸(⫏≰12020001⇼⇔∾⫏≰2011100)⨪↰⇹(⫏≰100022222⫥∨⫟⫏≰2110020)⫡⨏(⫛⫱⨽(⫏≰2110120⩷∴⫏≰1210220))⩷∴((⫏≰22010000⩠)⊭↱(⫏≰12020021+⫏≰1101211))","cot":[{"info":"⫏≰2021100⊭↱⫏≰11000001=⫏≰10110121","layer":3},{"info":"↥⫏≰10110121=⫏≰1001","layer":2},{"info":"⫏≰12020001⇼⇔∾⫏≰2011100=⫏≰-10001201","layer":3},{"info":"⫏≰100022222⫥∨⫟⫏≰2110020=NaN","layer":3},{"info":"⫏≰-10001201⨪↰⇹NaN=⫏≰10001201","layer":2},{"info":"⫏≰1001⊉≛↸⫏≰10001201=⫏≰2002","layer":1},{"info":"⫏≰2110120⩷∴⫏≰1210220=⫏≰1021011","layer":3},{"info":"⫛⫱⨽⫏≰1021011=⫏≰0","layer":2},{"info":"⫏≰22010000⩠=⫏≰0","layer":3},{"info":"⫏≰12020021+⫏≰1101211=⫏≰20122002","layer":3},{"info":"⫏≰0⊭↱⫏≰20122002=⫏≰111021100","layer":2},{"info":"⫏≰0⩷∴⫏≰111021100=⫏≰-222120212","layer":1},{"info":"⫏≰2002⫡⨏⫏≰-222120212=⫏≰-1220201100","layer":0}]}
{"id":410,"expression_no_base_symbol":"$1855$⪘⫢$1329$⨰(↽≂$2705$)↺($6757$↺$2722$)⋥≓≎($3011$⨵⪆$8752$)+(($7739$≣⋋)⊉≛↸$7875$⫸⊐$1363$)⋥≓≎($2425$-$1964$)⪢(+⊝⨔$2964$)","expression":"⫏≰2112201⪘⫢⫏≰1211020⨰(↽≂⫏≰10201012)↺(⫏≰100021021↺⫏≰10201211)⋥≓≎(⫏≰11010112⨵⪆⫏≰110000011)+((⫏≰101121122≣⋋)⊉≛↸⫏≰101210200⫸⊐⫏≰1212111)⋥≓≎(⫏≰10022211-⫏≰2200202)⪢(+⊝⨔⫏≰11001210)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2141,"operation_count":15,"complexity_ratio":142.73333333333332,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1855,"base":3},"right_expr":{"type":"numeric_atoms","value":1329,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2705,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6757,"base":3},"right_expr":{"type":"numeric_atoms","value":2722,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3011,"base":3},"right_expr":{"type":"numeric_atoms","value":8752,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":7739,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7875,"base":3},"right_expr":{"type":"numeric_atoms","value":1363,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2425,"base":3},"right_expr":{"type":"numeric_atoms","value":1964,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2964,"base":3}}}}},"used_operators":["W4YGzv6Whe","7j4O788W3g","eewbuw0ToL","oacrs7FA3X","u6S6b8DprG","Qy55tPpLXF","2DQ55sFlQl","DZ8iAZOCBD","Tcnh7f0tEr","mqXw5SEYmG","dWAJyo7jo9","rysDP5nf3Z","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1855","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=1329, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3586","layer":3},{"info":"number node, value=2705","layer":4},{"info":"compute unary expreesion, input=2705, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5410","layer":3},{"info":"compute binary expreesion, left_input=3586, right_input=-5410, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=9006","layer":2},{"info":"number node, value=6757","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=6757, right_input=2722, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2722","layer":3},{"info":"number node, value=3011","layer":4},{"info":"number node, value=8752","layer":4},{"info":"compute binary expreesion, left_input=3011, right_input=8752, 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=2722, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2369","layer":2},{"info":"compute binary expreesion, left_input=9006, right_input=-2369, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2369","layer":1},{"info":"number node, value=7739","layer":4},{"info":"compute unary expreesion, input=7739, 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=7875","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=7875, right_input=1363, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5327","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5327, 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=2425","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=2425, right_input=1964, op_id = rysDP5nf3Z binary_op_definition= 'None', output=461","layer":3},{"info":"number node, value=2964","layer":4},{"info":"compute unary expreesion, input=2964, 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=461, 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":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":"compute binary expreesion, left_input=-2369, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫏≰2112201⪘⫢⫏≰1211020⨰(↽≂⫏≰10201012)↺(⫏≰100021021↺⫏≰10201211)⋥≓≎(⫏≰11010112⨵⪆⫏≰110000011)+((⫏≰101121122≣⋋)⊉≛↸⫏≰101210200⫸⊐⫏≰1212111)⋥≓≎(⫏≰10022211-⫏≰2200202)⪢(+⊝⨔⫏≰11001210)=NaN","reverse_text":"NaN=⫏≰2112201⪘⫢⫏≰1211020⨰(↽≂⫏≰10201012)↺(⫏≰100021021↺⫏≰10201211)⋥≓≎(⫏≰11010112⨵⪆⫏≰110000011)+((⫏≰101121122≣⋋)⊉≛↸⫏≰101210200⫸⊐⫏≰1212111)⋥≓≎(⫏≰10022211-⫏≰2200202)⪢(+⊝⨔⫏≰11001210)","cot":[{"info":"⫏≰2112201⪘⫢⫏≰1211020=⫏≰11220211","layer":3},{"info":"↽≂⫏≰10201012=⫏≰-21102101","layer":3},{"info":"⫏≰11220211⨰⫏≰-21102101=⫏≰110100120","layer":2},{"info":"⫏≰100021021↺⫏≰10201211=⫏≰10201211","layer":3},{"info":"⫏≰11010112⨵⪆⫏≰110000011=⫏≰12221","layer":3},{"info":"⫏≰10201211⋥≓≎⫏≰12221=⫏≰-10020202","layer":2},{"info":"⫏≰110100120↺⫏≰-10020202=⫏≰-10020202","layer":1},{"info":"⫏≰101121122≣⋋=⫏≰0","layer":3},{"info":"⫏≰101210200⫸⊐⫏≰1212111=⫏≰21022022","layer":3},{"info":"⫏≰0⊉≛↸⫏≰21022022=⫏≰0","layer":2},{"info":"⫏≰10022211-⫏≰2200202=⫏≰122002","layer":3},{"info":"+⊝⨔⫏≰11001210=⫏≰2002101","layer":3},{"info":"⫏≰122002⪢⫏≰2002101=NaN","layer":2},{"info":"⫏≰0⋥≓≎NaN=NaN","layer":1},{"info":"⫏≰-10020202+NaN=NaN","layer":0}]}
{"id":411,"expression_no_base_symbol":"(((⊙↵-$1531$)/$4519$⨰$2438$)⪄(($1899$≋⫹)⇋≉))⨪↰⇹(↔(($1979$-$1104$)⫥∨⫟($1161$%$5701$)))","expression":"(((⊙↵-⫏≰2002201)/⫏≰20012101⨰⫏≰10100022)⪄((⫏≰2121100≋⫹)⇋≉))⨪↰⇹(↔((⫏≰2201022-⫏≰1111220)⫥∨⫟(⫏≰1121000%⫏≰21211011)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":36626,"operation_count":11,"complexity_ratio":3329.6363636363635,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1531,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4519,"base":3},"right_expr":{"type":"numeric_atoms","value":2438,"base":3}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1899,"base":3}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1979,"base":3},"right_expr":{"type":"numeric_atoms","value":1104,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1161,"base":3},"right_expr":{"type":"numeric_atoms","value":5701,"base":3}}}}},"used_operators":["tmPS8pqC7x","SUmda5xLS4","XhwjNDsVaA","oWn0xqSxBt","eewbuw0ToL","XIabStNQrY","N41Kp7NANJ","ruOEQAzv1W","KYD54nUTWz","rysDP5nf3Z","k8jYdgA6NY"],"dependent_operators":["rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z"],"result":"⫏≰1202210012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1531","layer":4},{"info":"compute unary expreesion, input=1531, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=4519","layer":4},{"info":"number node, value=2438","layer":4},{"info":"compute binary expreesion, left_input=4519, right_input=2438, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2091","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2091, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1899","layer":4},{"info":"compute unary expreesion, input=1899, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3798","layer":3},{"info":"compute unary expreesion, input=-3798, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-7694","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-7694, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=34835","layer":1},{"info":"number node, value=1979","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=1104, op_id = rysDP5nf3Z binary_op_definition= 'None', output=875","layer":3},{"info":"number node, value=1161","layer":4},{"info":"number node, value=5701","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=5701, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1161","layer":3},{"info":"compute binary expreesion, left_input=875, right_input=1161, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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":"compute binary expreesion, left_input=34835, right_input=-134, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=34835","layer":0}],"base":3,"result_base":3,"text":"(((⊙↵-⫏≰2002201)/⫏≰20012101⨰⫏≰10100022)⪄((⫏≰2121100≋⫹)⇋≉))⨪↰⇹(↔((⫏≰2201022-⫏≰1111220)⫥∨⫟(⫏≰1121000%⫏≰21211011)))=⫏≰1202210012","reverse_text":"⫏≰1202210012=(((⊙↵-⫏≰2002201)/⫏≰20012101⨰⫏≰10100022)⪄((⫏≰2121100≋⫹)⇋≉))⨪↰⇹(↔((⫏≰2201022-⫏≰1111220)⫥∨⫟(⫏≰1121000%⫏≰21211011)))","cot":[{"info":"⊙↵-⫏≰2002201=⫏≰-1","layer":3},{"info":"⫏≰20012101⨰⫏≰10100022=⫏≰2212110","layer":3},{"info":"⫏≰-1/⫏≰2212110=⫏≰-1","layer":2},{"info":"⫏≰2121100≋⫹=⫏≰-12012200","layer":3},{"info":"⫏≰-12012200⇋≉=⫏≰-101112222","layer":2},{"info":"⫏≰-1⪄⫏≰-101112222=⫏≰1202210012","layer":1},{"info":"⫏≰2201022-⫏≰1111220=⫏≰1012102","layer":3},{"info":"⫏≰1121000%⫏≰21211011=⫏≰1121000","layer":3},{"info":"⫏≰1012102⫥∨⫟⫏≰1121000=NaN","layer":2},{"info":"↔NaN=⫏≰-11222","layer":1},{"info":"⫏≰1202210012⨪↰⇹⫏≰-11222=⫏≰1202210012","layer":0}]}
{"id":412,"expression_no_base_symbol":"($2401$⨰$1472$+⇶⊼$1812$↬$1682$⊉≛↸($3210$⋳⪒$3476$⇼⇔∾(≉$2667$)))⊠≄⫣","expression":"(⫏≰10021221⨰⫏≰2000112+⇶⊼⫏≰2111010↬⫏≰2022022⊉≛↸(⫏≰11101220⋳⪒⫏≰11202202⇼⇔∾(≉⫏≰10122210)))⊠≄⫣","highest_n_order":5,"priority_hierarchical_complexity":7,"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":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2401,"base":3},"right_expr":{"type":"numeric_atoms","value":1472,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1812,"base":3},"right_expr":{"type":"numeric_atoms","value":1682,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3210,"base":3},"right_expr":{"type":"numeric_atoms","value":3476,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2667,"base":3}}}}},"used_operators":["DIvbN7qnHd","DZ8iAZOCBD","TpPTUOHfaN","eewbuw0ToL","B5M0gjZbta","tifHPKVTfV","12rbrZMWeM","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2401","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=1472, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=939","layer":3},{"info":"number node, value=1812","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=1812, right_input=1682, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=939, 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=3210","layer":4},{"info":"number node, value=3476","layer":4},{"info":"compute binary expreesion, left_input=3210, right_input=3476, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2657","layer":3},{"info":"number node, value=2667","layer":4},{"info":"compute unary expreesion, input=2667, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3198","layer":3},{"info":"compute binary expreesion, left_input=2657, right_input=3198, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=541","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=541, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10021221⨰⫏≰2000112+⇶⊼⫏≰2111010↬⫏≰2022022⊉≛↸(⫏≰11101220⋳⪒⫏≰11202202⇼⇔∾(≉⫏≰10122210)))⊠≄⫣=NaN","reverse_text":"NaN=(⫏≰10021221⨰⫏≰2000112+⇶⊼⫏≰2111010↬⫏≰2022022⊉≛↸(⫏≰11101220⋳⪒⫏≰11202202⇼⇔∾(≉⫏≰10122210)))⊠≄⫣","cot":[{"info":"⫏≰10021221⨰⫏≰2000112=⫏≰1021210","layer":3},{"info":"⫏≰2111010↬⫏≰2022022=NaN","layer":3},{"info":"⫏≰1021210+⇶⊼NaN=NaN","layer":2},{"info":"⫏≰11101220⋳⪒⫏≰11202202=⫏≰10122102","layer":3},{"info":"≉⫏≰10122210=⫏≰11101110","layer":3},{"info":"⫏≰10122102⇼⇔∾⫏≰11101110=⫏≰202001","layer":2},{"info":"NaN⊉≛↸⫏≰202001=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":413,"expression_no_base_symbol":"((⨈⫕$2298$⨓$2170$)⫩⊇)⊦⊿","expression":"((⨈⫕⫏≰10011010⨓⫏≰2222101)⫩⊇)⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2570,"operation_count":4,"complexity_ratio":642.5,"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":2298,"base":3},"right_expr":{"type":"numeric_atoms","value":2170,"base":3}}}}},"used_operators":["14qkJME0vr","BjRHVeLaeN","megm06wKyl","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫏≰-100221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2298","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=2170, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2173","layer":3},{"info":"compute unary expreesion, input=-2173, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=63","layer":1},{"info":"compute unary expreesion, input=63, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-268","layer":0}],"base":3,"result_base":3,"text":"((⨈⫕⫏≰10011010⨓⫏≰2222101)⫩⊇)⊦⊿=⫏≰-100221","reverse_text":"⫏≰-100221=((⨈⫕⫏≰10011010⨓⫏≰2222101)⫩⊇)⊦⊿","cot":[{"info":"⫏≰10011010⨓⫏≰2222101=⫏≰-2222111","layer":3},{"info":"⨈⫕⫏≰-2222111=⫏≰-210","layer":2},{"info":"⫏≰-210⫩⊇=⫏≰2100","layer":1},{"info":"⫏≰2100⊦⊿=⫏≰-100221","layer":0}]}
{"id":414,"expression_no_base_symbol":"(($2834$⨽$2908$⨵⪆$6502$⋓$1749$)∸)↬(($1068$↛⩡⫤)⨰(⪲⇎$2806$)⪐)","expression":"((⫏≰10212222⨽⫏≰10222201⨵⪆⫏≰22220211⋓⫏≰2101210)∸)↬((⫏≰1110120↛⩡⫤)⨰(⪲⇎⫏≰10211221)⪐)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6383,"operation_count":9,"complexity_ratio":709.2222222222222,"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":2834,"base":3},"right_expr":{"type":"numeric_atoms","value":2908,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6502,"base":3},"right_expr":{"type":"numeric_atoms","value":1749,"base":3}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1068,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2806,"base":3}}}}},"used_operators":["B5M0gjZbta","o20kRiQErp","2DQ55sFlQl","8HhzD0ZcuI","T2fj7uvVaJ","eH2TOUuTDT","eewbuw0ToL","FU0Cs4j7VP","XPYlsWDdGa"],"dependent_operators":["rGHVDoGpnC","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2834","layer":4},{"info":"number node, value=2908","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=2908, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-24102078","layer":3},{"info":"number node, value=6502","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=6502, right_input=1749, op_id = T2fj7uvVaJ 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=-24102078, right_input=0, 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=1068","layer":4},{"info":"compute unary expreesion, input=1068, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-157357","layer":3},{"info":"number node, value=2806","layer":4},{"info":"compute unary expreesion, input=2806, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5612","layer":3},{"info":"compute binary expreesion, left_input=-157357, right_input=5612, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-162959","layer":2},{"info":"compute unary expreesion, input=-162959, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-325918","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=-325918, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":3,"result_base":3,"text":"((⫏≰10212222⨽⫏≰10222201⨵⪆⫏≰22220211⋓⫏≰2101210)∸)↬((⫏≰1110120↛⩡⫤)⨰(⪲⇎⫏≰10211221)⪐)=NaN","reverse_text":"NaN=((⫏≰10212222⨽⫏≰10222201⨵⪆⫏≰22220211⋓⫏≰2101210)∸)↬((⫏≰1110120↛⩡⫤)⨰(⪲⇎⫏≰10211221)⪐)","cot":[{"info":"⫏≰10212222⨽⫏≰10222201=⫏≰-1200100111211120","layer":3},{"info":"⫏≰22220211⋓⫏≰2101210=⫏≰0","layer":3},{"info":"⫏≰-1200100111211120⨵⪆⫏≰0=⫏≰12221","layer":2},{"info":"⫏≰12221∸=⫏≰20120","layer":1},{"info":"⫏≰1110120↛⩡⫤=⫏≰-21222212001","layer":3},{"info":"⪲⇎⫏≰10211221=⫏≰21200212","layer":3},{"info":"⫏≰-21222212001⨰⫏≰21200212=⫏≰-22021112112","layer":2},{"info":"⫏≰-22021112112⪐=⫏≰-121120002001","layer":1},{"info":"⫏≰20120↬⫏≰-121120002001=NaN","layer":0}]}
{"id":415,"expression_no_base_symbol":"⨑⩽⪐(($2459$%$1935$)-($1124$⫡⨏$1430$)/$2614$⪘⫢$7041$∲⫓(⊄⩳↩$1173$))","expression":"⨑⩽⪐((⫏≰10101002%⫏≰2122200)-(⫏≰1112122⫡⨏⫏≰1221222)/⫏≰10120211⪘⫢⫏≰100122210∲⫓(⊄⩳↩⫏≰1121110))","highest_n_order":2,"priority_hierarchical_complexity":4,"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":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2459,"base":3},"right_expr":{"type":"numeric_atoms","value":1935,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1124,"base":3},"right_expr":{"type":"numeric_atoms","value":1430,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2614,"base":3},"right_expr":{"type":"numeric_atoms","value":7041,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1173,"base":3}}}}},"used_operators":["AF7qkfDlqP","XhwjNDsVaA","rysDP5nf3Z","k8jYdgA6NY","QMFrweE19q","i8ToyICDmI","oacrs7FA3X","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰1002101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2459","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=1935, op_id = k8jYdgA6NY binary_op_definition= 'None', output=524","layer":3},{"info":"number node, value=1124","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=1430, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9263","layer":3},{"info":"compute binary expreesion, left_input=524, right_input=9263, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-8739","layer":2},{"info":"number node, value=2614","layer":4},{"info":"number node, value=7041","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=7041, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5104","layer":3},{"info":"number node, value=1173","layer":4},{"info":"compute unary expreesion, input=1173, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3519","layer":3},{"info":"compute binary expreesion, left_input=5104, right_input=-3519, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=5104","layer":2},{"info":"compute binary expreesion, left_input=-8739, right_input=5104, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":1},{"info":"compute unary expreesion, input=-2, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=793","layer":0}],"base":3,"result_base":3,"text":"⨑⩽⪐((⫏≰10101002%⫏≰2122200)-(⫏≰1112122⫡⨏⫏≰1221222)/⫏≰10120211⪘⫢⫏≰100122210∲⫓(⊄⩳↩⫏≰1121110))=⫏≰1002101","reverse_text":"⫏≰1002101=⨑⩽⪐((⫏≰10101002%⫏≰2122200)-(⫏≰1112122⫡⨏⫏≰1221222)/⫏≰10120211⪘⫢⫏≰100122210∲⫓(⊄⩳↩⫏≰1121110))","cot":[{"info":"⫏≰10101002%⫏≰2122200=⫏≰201102","layer":3},{"info":"⫏≰1112122⫡⨏⫏≰1221222=⫏≰110201002","layer":3},{"info":"⫏≰201102-⫏≰110201002=⫏≰-102222200","layer":2},{"info":"⫏≰10120211⪘⫢⫏≰100122210=⫏≰21000001","layer":3},{"info":"⊄⩳↩⫏≰1121110=⫏≰-11211100","layer":3},{"info":"⫏≰21000001∲⫓⫏≰-11211100=⫏≰21000001","layer":2},{"info":"⫏≰-102222200/⫏≰21000001=⫏≰-2","layer":1},{"info":"⨑⩽⪐⫏≰-2=⫏≰1002101","layer":0}]}
{"id":416,"expression_no_base_symbol":"(⫓⪴(≉(↥$6049$)))⊉≛↸(($3109$⪄$1855$/(↯⪼$1127$))%(($2065$⇼⇔∾$1179$)≫≃))","expression":"(⫓⪴(≉(↥⫏≰22022001)))⊉≛↸((⫏≰11021011⪄⫏≰2112201/(↯⪼⫏≰1112202))%((⫏≰2211111⇼⇔∾⫏≰1121200)≫≃))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22956,"operation_count":10,"complexity_ratio":2295.6,"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":6049,"base":3}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3109,"base":3},"right_expr":{"type":"numeric_atoms","value":1855,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1127,"base":3}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2065,"base":3},"right_expr":{"type":"numeric_atoms","value":1179,"base":3}}}}},"used_operators":["DZ8iAZOCBD","eLxqMNBOBk","e1ybzncUwg","A8NUZmVepG","k8jYdgA6NY","XhwjNDsVaA","SUmda5xLS4","8jW3W4yZS5","X99M06cbEe","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰1012002111212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6049","layer":4},{"info":"compute unary expreesion, input=6049, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=31","layer":3},{"info":"compute unary expreesion, input=31, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=562","layer":2},{"info":"compute unary expreesion, input=562, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=315844","layer":1},{"info":"number node, value=3109","layer":4},{"info":"number node, value=1855","layer":4},{"info":"compute binary expreesion, left_input=3109, right_input=1855, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-463641","layer":3},{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, 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=-463641, right_input=-21, op_id = XhwjNDsVaA binary_op_definition= 'None', output=22078","layer":2},{"info":"number node, value=2065","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=1179, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-886","layer":3},{"info":"compute unary expreesion, input=-886, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-371","layer":2},{"info":"compute binary expreesion, left_input=22078, right_input=-371, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-182","layer":1},{"info":"compute binary expreesion, left_input=315844, right_input=-182, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=631688","layer":0}],"base":3,"result_base":3,"text":"(⫓⪴(≉(↥⫏≰22022001)))⊉≛↸((⫏≰11021011⪄⫏≰2112201/(↯⪼⫏≰1112202))%((⫏≰2211111⇼⇔∾⫏≰1121200)≫≃))=⫏≰1012002111212","reverse_text":"⫏≰1012002111212=(⫓⪴(≉(↥⫏≰22022001)))⊉≛↸((⫏≰11021011⪄⫏≰2112201/(↯⪼⫏≰1112202))%((⫏≰2211111⇼⇔∾⫏≰1121200)≫≃))","cot":[{"info":"↥⫏≰22022001=⫏≰1011","layer":3},{"info":"≉⫏≰1011=⫏≰202211","layer":2},{"info":"⫓⪴⫏≰202211=⫏≰121001020221","layer":1},{"info":"⫏≰11021011⪄⫏≰2112201=⫏≰-212112222220","layer":3},{"info":"↯⪼⫏≰1112202=⫏≰-210","layer":3},{"info":"⫏≰-212112222220/⫏≰-210=⫏≰1010021201","layer":2},{"info":"⫏≰2211111⇼⇔∾⫏≰1121200=⫏≰-1012211","layer":3},{"info":"⫏≰-1012211≫≃=⫏≰-111202","layer":2},{"info":"⫏≰1010021201%⫏≰-111202=⫏≰-20202","layer":1},{"info":"⫏≰121001020221⊉≛↸⫏≰-20202=⫏≰1012002111212","layer":0}]}
{"id":417,"expression_no_base_symbol":"(((-$1398$)⫡⨏(⪝⪂⫅$2049$))∲⫓(↣≠⋷($1901$⨓$2511$)))⩚⊴⇥($3609$∑⇟⊟$2805$⨸⪁($4374$↛⩡⫤)⨸⪁($2958$↪⪝)⪢$2902$⪮%⊝$6988$)","expression":"(((-⫏≰1220210)⫡⨏(⪝⪂⫅⫏≰2210220))∲⫓(↣≠⋷(⫏≰2121102⨓⫏≰10110000)))⩚⊴⇥(⫏≰11221200∑⇟⊟⫏≰10211220⨸⪁(⫏≰20000000↛⩡⫤)⨸⪁(⫏≰11001120↪⪝)⪢⫏≰10222111⪮%⊝⫏≰100120211)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":150915,"operation_count":14,"complexity_ratio":10779.642857142857,"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":1398,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2049,"base":3}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1901,"base":3},"right_expr":{"type":"numeric_atoms","value":2511,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3609,"base":3},"right_expr":{"type":"numeric_atoms","value":2805,"base":3}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4374,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2958,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2902,"base":3},"right_expr":{"type":"numeric_atoms","value":6988,"base":3}}}}},"used_operators":["NTOWxs364D","i8ToyICDmI","QMFrweE19q","t8gj7n24qd","XTarYq4gQB","Asc51vEJeQ","3ViojmjbAp","g55IO6H4Gj","U7g4x0WXJJ","FU0Cs4j7VP","dWAJyo7jo9","l07mrZUIn9","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1398","layer":3},{"info":"number node, value=2049","layer":4},{"info":"compute unary expreesion, input=2049, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-301203","layer":3},{"info":"compute binary expreesion, left_input=-1398, right_input=-301203, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-608613","layer":2},{"info":"number node, value=1901","layer":4},{"info":"number node, value=2511","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=2511, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2514","layer":3},{"info":"compute unary expreesion, input=-2514, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-608613, 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=3609","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=3609, right_input=2805, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4374","layer":4},{"info":"compute unary expreesion, input=4374, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-656563","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-656563, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=2958","layer":4},{"info":"compute unary expreesion, input=2958, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=180976356","layer":3},{"info":"number node, value=2902","layer":4},{"info":"number node, value=6988","layer":4},{"info":"compute binary expreesion, left_input=2902, right_input=6988, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6120","layer":3},{"info":"compute binary expreesion, left_input=180976356, right_input=6120, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((-⫏≰1220210)⫡⨏(⪝⪂⫅⫏≰2210220))∲⫓(↣≠⋷(⫏≰2121102⨓⫏≰10110000)))⩚⊴⇥(⫏≰11221200∑⇟⊟⫏≰10211220⨸⪁(⫏≰20000000↛⩡⫤)⨸⪁(⫏≰11001120↪⪝)⪢⫏≰10222111⪮%⊝⫏≰100120211)=NaN","reverse_text":"NaN=(((-⫏≰1220210)⫡⨏(⪝⪂⫅⫏≰2210220))∲⫓(↣≠⋷(⫏≰2121102⨓⫏≰10110000)))⩚⊴⇥(⫏≰11221200∑⇟⊟⫏≰10211220⨸⪁(⫏≰20000000↛⩡⫤)⨸⪁(⫏≰11001120↪⪝)⪢⫏≰10222111⪮%⊝⫏≰100120211)","cot":[{"info":"-⫏≰1220210=⫏≰-1220210","layer":3},{"info":"⪝⪂⫅⫏≰2210220=⫏≰-120022011200","layer":3},{"info":"⫏≰-1220210⫡⨏⫏≰-120022011200=⫏≰-1010220212020","layer":2},{"info":"⫏≰2121102⨓⫏≰10110000=⫏≰-10110010","layer":3},{"info":"↣≠⋷⫏≰-10110010=NaN","layer":2},{"info":"⫏≰-1010220212020∲⫓NaN=NaN","layer":1},{"info":"⫏≰11221200∑⇟⊟⫏≰10211220=NaN","layer":3},{"info":"⫏≰20000000↛⩡⫤=⫏≰-1020100122011","layer":3},{"info":"NaN⨸⪁⫏≰-1020100122011=NaN","layer":2},{"info":"⫏≰11001120↪⪝=⫏≰110121112112220000","layer":3},{"info":"⫏≰10222111⪮%⊝⫏≰100120211=⫏≰22101200","layer":3},{"info":"⫏≰110121112112220000⪢⫏≰22101200=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":418,"expression_no_base_symbol":"((⪲⇎$5171$)⊭∹↮)⨽($2363$⨐⩸⫘$2227$)⪘⫢($1884$↺$8322$)%$2240$⨟⋌⩍$2813$⫥∨⫟$1361$⪘⫢$2115$⨽($1060$⨐⩸⫘$5061$)≹⇙⪍($2963$∼$2253$)","expression":"((⪲⇎⫏≰21002112)⊭∹↮)⨽(⫏≰10020112⨐⩸⫘⫏≰10001111)⪘⫢(⫏≰2120210↺⫏≰102102020)%⫏≰10001222⨟⋌⩍⫏≰10212012⫥∨⫟⫏≰1212102⪘⫢⫏≰2220100⨽(⫏≰1110021⨐⩸⫘⫏≰20221110)≹⇙⪍(⫏≰11001202∼⫏≰10002110)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20956,"operation_count":14,"complexity_ratio":1496.857142857143,"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":5171,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2363,"base":3},"right_expr":{"type":"numeric_atoms","value":2227,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1884,"base":3},"right_expr":{"type":"numeric_atoms","value":8322,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2240,"base":3},"right_expr":{"type":"numeric_atoms","value":2813,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1361,"base":3},"right_expr":{"type":"numeric_atoms","value":2115,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1060,"base":3},"right_expr":{"type":"numeric_atoms","value":5061,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2963,"base":3},"right_expr":{"type":"numeric_atoms","value":2253,"base":3}}}}},"used_operators":["k8jYdgA6NY","8HhzD0ZcuI","xNBdhnnwKq","XPYlsWDdGa","oacrs7FA3X","fu6greOZ01","7j4O788W3g","KYD54nUTWz","rGHVDoGpnC","AHs5Up7iyr","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5171","layer":4},{"info":"compute unary expreesion, input=5171, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10342","layer":3},{"info":"compute unary expreesion, input=10342, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=20684","layer":2},{"info":"number node, value=2363","layer":4},{"info":"number node, value=2227","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=2227, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1884","layer":4},{"info":"number node, value=8322","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=8322, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8322","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8322, 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=20684, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=2240","layer":4},{"info":"number node, value=2813","layer":4},{"info":"compute binary expreesion, left_input=2240, right_input=2813, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1361","layer":4},{"info":"number node, value=2115","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=2115, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2598","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2598, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1060","layer":4},{"info":"number node, value=5061","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=5061, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2963","layer":4},{"info":"number node, value=2253","layer":4},{"info":"compute binary expreesion, left_input=2963, right_input=2253, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⪲⇎⫏≰21002112)⊭∹↮)⨽(⫏≰10020112⨐⩸⫘⫏≰10001111)⪘⫢(⫏≰2120210↺⫏≰102102020)%⫏≰10001222⨟⋌⩍⫏≰10212012⫥∨⫟⫏≰1212102⪘⫢⫏≰2220100⨽(⫏≰1110021⨐⩸⫘⫏≰20221110)≹⇙⪍(⫏≰11001202∼⫏≰10002110)=NaN","reverse_text":"NaN=((⪲⇎⫏≰21002112)⊭∹↮)⨽(⫏≰10020112⨐⩸⫘⫏≰10001111)⪘⫢(⫏≰2120210↺⫏≰102102020)%⫏≰10001222⨟⋌⩍⫏≰10212012⫥∨⫟⫏≰1212102⪘⫢⫏≰2220100⨽(⫏≰1110021⨐⩸⫘⫏≰20221110)≹⇙⪍(⫏≰11001202∼⫏≰10002110)","cot":[{"info":"⪲⇎⫏≰21002112=⫏≰112012001","layer":3},{"info":"⫏≰112012001⊭∹↮=⫏≰1001101002","layer":2},{"info":"⫏≰10020112⨐⩸⫘⫏≰10001111=NaN","layer":3},{"info":"⫏≰2120210↺⫏≰102102020=⫏≰102102020","layer":3},{"info":"NaN⪘⫢⫏≰102102020=NaN","layer":2},{"info":"⫏≰1001101002⨽NaN=NaN","layer":1},{"info":"⫏≰10001222⨟⋌⩍⫏≰10212012=NaN","layer":3},{"info":"⫏≰1212102⪘⫢⫏≰2220100=⫏≰10120020","layer":3},{"info":"NaN⫥∨⫟⫏≰10120020=NaN","layer":2},{"info":"⫏≰1110021⨐⩸⫘⫏≰20221110=NaN","layer":3},{"info":"⫏≰11001202∼⫏≰10002110=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":419,"expression_no_base_symbol":"⨰⫟⨤(($3464$⋳⪒$1159$%($6087$≋⫹))⫸⊐($6632$⊭↱$6418$)⋓(⊙↵-$1273$))","expression":"⨰⫟⨤((⫏≰11202022⋳⪒⫏≰1120221%(⫏≰22100110≋⫹))⫸⊐(⫏≰100002122⊭↱⫏≰22210201)⋓(⊙↵-⫏≰1202011))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4385,"operation_count":8,"complexity_ratio":548.125,"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":3464,"base":3},"right_expr":{"type":"numeric_atoms","value":1159,"base":3}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6087,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6632,"base":3},"right_expr":{"type":"numeric_atoms","value":6418,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1273,"base":3}}}}},"used_operators":["Tw270M8GLb","mqXw5SEYmG","k8jYdgA6NY","12rbrZMWeM","N41Kp7NANJ","T2fj7uvVaJ","COABgblf1C","oWn0xqSxBt"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3464","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=3464, right_input=1159, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5482","layer":3},{"info":"number node, value=6087","layer":4},{"info":"compute unary expreesion, input=6087, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12174","layer":3},{"info":"compute binary expreesion, left_input=5482, right_input=-12174, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-6692","layer":2},{"info":"number node, value=6632","layer":4},{"info":"number node, value=6418","layer":4},{"info":"compute binary expreesion, left_input=6632, right_input=6418, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-423","layer":3},{"info":"number node, value=1273","layer":4},{"info":"compute unary expreesion, input=1273, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-423, right_input=-1, op_id = T2fj7uvVaJ 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=-6692, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute unary expreesion, input=968, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤((⫏≰11202022⋳⪒⫏≰1120221%(⫏≰22100110≋⫹))⫸⊐(⫏≰100002122⊭↱⫏≰22210201)⋓(⊙↵-⫏≰1202011))=NaN","reverse_text":"NaN=⨰⫟⨤((⫏≰11202022⋳⪒⫏≰1120221%(⫏≰22100110≋⫹))⫸⊐(⫏≰100002122⊭↱⫏≰22210201)⋓(⊙↵-⫏≰1202011))","cot":[{"info":"⫏≰11202022⋳⪒⫏≰1120221=⫏≰21112001","layer":3},{"info":"⫏≰22100110≋⫹=⫏≰-121200220","layer":3},{"info":"⫏≰21112001%⫏≰-121200220=⫏≰-100011212","layer":2},{"info":"⫏≰100002122⊭↱⫏≰22210201=⫏≰-120200","layer":3},{"info":"⊙↵-⫏≰1202011=⫏≰-1","layer":3},{"info":"⫏≰-120200⋓⫏≰-1=⫏≰0","layer":2},{"info":"⫏≰-100011212⫸⊐⫏≰0=⫏≰1022212","layer":1},{"info":"⨰⫟⨤⫏≰1022212=NaN","layer":0}]}
{"id":420,"expression_no_base_symbol":"(($1396$≦≮≮)⪘⫢($1056$∲⫓$4284$)⪄($1590$+⇶⊼$4116$)⩷∴($5164$⨎$2373$))⨐⩸⫘(($3139$⪄$2474$)↺(∂$1097$)≋⫹)","expression":"((⫏≰1220201≦≮≮)⪘⫢(⫏≰1110010∲⫓⫏≰12212200)⪄(⫏≰2011220+⇶⊼⫏≰12122110)⩷∴(⫏≰21002021⨎⫏≰10020220))⨐⩸⫘((⫏≰11022021⪄⫏≰10101122)↺(∂⫏≰1111122)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":147,"operation_count":12,"complexity_ratio":12.25,"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":1396,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1056,"base":3},"right_expr":{"type":"numeric_atoms","value":4284,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1590,"base":3},"right_expr":{"type":"numeric_atoms","value":4116,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5164,"base":3},"right_expr":{"type":"numeric_atoms","value":2373,"base":3}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3139,"base":3},"right_expr":{"type":"numeric_atoms","value":2474,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1097,"base":3}}}}},"used_operators":["fu6greOZ01","SUmda5xLS4","oacrs7FA3X","D4vGDi5EA2","i8ToyICDmI","9FxExcQeMw","TpPTUOHfaN","rJVOvQCfKK","N41Kp7NANJ","7j4O788W3g","Uaa54Peajs"],"dependent_operators":["3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1396","layer":4},{"info":"compute unary expreesion, input=1396, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4188","layer":3},{"info":"number node, value=1056","layer":4},{"info":"number node, value=4284","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=4284, 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=-4188, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=1590","layer":4},{"info":"number node, value=4116","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=4116, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=5164","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=5164, right_input=2373, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2373","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2373, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"number node, value=3139","layer":4},{"info":"number node, value=2474","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=2474, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-470557","layer":3},{"info":"number node, value=1097","layer":4},{"info":"compute unary expreesion, input=1097, 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=-470557, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-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":3,"result_base":3,"text":"((⫏≰1220201≦≮≮)⪘⫢(⫏≰1110010∲⫓⫏≰12212200)⪄(⫏≰2011220+⇶⊼⫏≰12122110)⩷∴(⫏≰21002021⨎⫏≰10020220))⨐⩸⫘((⫏≰11022021⪄⫏≰10101122)↺(∂⫏≰1111122)≋⫹)=NaN","reverse_text":"NaN=((⫏≰1220201≦≮≮)⪘⫢(⫏≰1110010∲⫓⫏≰12212200)⪄(⫏≰2011220+⇶⊼⫏≰12122110)⩷∴(⫏≰21002021⨎⫏≰10020220))⨐⩸⫘((⫏≰11022021⪄⫏≰10101122)↺(∂⫏≰1111122)≋⫹)","cot":[{"info":"⫏≰1220201≦≮≮=⫏≰-12202010","layer":3},{"info":"⫏≰1110010∲⫓⫏≰12212200=⫏≰0","layer":3},{"info":"⫏≰-12202010⪘⫢⫏≰0=⫏≰-1","layer":2},{"info":"⫏≰2011220+⇶⊼⫏≰12122110=NaN","layer":3},{"info":"⫏≰21002021⨎⫏≰10020220=⫏≰10020220","layer":3},{"info":"NaN⩷∴⫏≰10020220=NaN","layer":2},{"info":"⫏≰-1⪄NaN=NaN","layer":1},{"info":"⫏≰11022021⪄⫏≰10101122=⫏≰-212220111001","layer":3},{"info":"∂⫏≰1111122=NaN","layer":3},{"info":"⫏≰-212220111001↺NaN=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":421,"expression_no_base_symbol":"(-(∥⊫$7323$⪘⫢$4170$))⨰(-(⊥($2442$∀⇚≩$6176$)))","expression":"(-(∥⊫⫏≰101001020⪘⫢⫏≰12201110))⨰(-(⊥(⫏≰10100110∀⇚≩⫏≰22110202)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":17122,"operation_count":7,"complexity_ratio":2446.0,"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":7323,"base":3},"right_expr":{"type":"numeric_atoms","value":4170,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2442,"base":3},"right_expr":{"type":"numeric_atoms","value":6176,"base":3}}}}},"used_operators":["eewbuw0ToL","t8gj7n24qd","P8v4zCKN1o","oacrs7FA3X","Q3PJZHRvZv","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","fu6greOZ01","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7323","layer":4},{"info":"number node, value=4170","layer":4},{"info":"compute binary expreesion, left_input=7323, right_input=4170, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14522","layer":3},{"info":"compute unary expreesion, input=14522, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=15390","layer":2},{"info":"compute unary expreesion, input=15390, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-15390","layer":1},{"info":"number node, value=2442","layer":4},{"info":"number node, value=6176","layer":4},{"info":"compute binary expreesion, left_input=2442, right_input=6176, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-15390, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(-(∥⊫⫏≰101001020⪘⫢⫏≰12201110))⨰(-(⊥(⫏≰10100110∀⇚≩⫏≰22110202)))=NaN","reverse_text":"NaN=(-(∥⊫⫏≰101001020⪘⫢⫏≰12201110))⨰(-(⊥(⫏≰10100110∀⇚≩⫏≰22110202)))","cot":[{"info":"⫏≰101001020⪘⫢⫏≰12201110=⫏≰201220212","layer":3},{"info":"∥⊫⫏≰201220212=⫏≰210010000","layer":2},{"info":"-⫏≰210010000=⫏≰-210010000","layer":1},{"info":"⫏≰10100110∀⇚≩⫏≰22110202=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⫏≰-210010000⨰NaN=NaN","layer":0}]}
{"id":422,"expression_no_base_symbol":"⫛⫱⨽(($1488$⋳⪒$2233$)⋝⋈⪟($2612$⊭∹↮)↙($1222$⋝⋈⪟$1184$⇼⇔∾$9322$⋳⪒$4279$))","expression":"⫛⫱⨽((⫏≰2001010⋳⪒⫏≰10001201)⋝⋈⪟(⫏≰10120202⊭∹↮)↙(⫏≰1200021⋝⋈⪟⫏≰1121212⇼⇔∾⫏≰110210021⋳⪒⫏≰12212111))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14309,"operation_count":8,"complexity_ratio":1788.625,"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":1488,"base":3},"right_expr":{"type":"numeric_atoms","value":2233,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2612,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1222,"base":3},"right_expr":{"type":"numeric_atoms","value":1184,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":9322,"base":3},"right_expr":{"type":"numeric_atoms","value":4279,"base":3}}}}},"used_operators":["DlLNRPXxWL","yyfyN0ffXY","2DDjHMKMc0","12rbrZMWeM","xNBdhnnwKq","tifHPKVTfV"],"dependent_operators":["rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1488","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=2233, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=456","layer":3},{"info":"number node, value=2612","layer":4},{"info":"compute unary expreesion, input=2612, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5224","layer":3},{"info":"compute binary expreesion, left_input=456, right_input=5224, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=456","layer":2},{"info":"number node, value=1222","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=1184, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1222","layer":3},{"info":"number node, value=9322","layer":4},{"info":"number node, value=4279","layer":4},{"info":"compute binary expreesion, left_input=9322, right_input=4279, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=14078","layer":3},{"info":"compute binary expreesion, left_input=1222, right_input=14078, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=12856","layer":2},{"info":"compute binary expreesion, left_input=456, right_input=12856, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-38568","layer":1},{"info":"compute unary expreesion, input=-38568, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⫛⫱⨽((⫏≰2001010⋳⪒⫏≰10001201)⋝⋈⪟(⫏≰10120202⊭∹↮)↙(⫏≰1200021⋝⋈⪟⫏≰1121212⇼⇔∾⫏≰110210021⋳⪒⫏≰12212111))=⫏≰0","reverse_text":"⫏≰0=⫛⫱⨽((⫏≰2001010⋳⪒⫏≰10001201)⋝⋈⪟(⫏≰10120202⊭∹↮)↙(⫏≰1200021⋝⋈⪟⫏≰1121212⇼⇔∾⫏≰110210021⋳⪒⫏≰12212111))","cot":[{"info":"⫏≰2001010⋳⪒⫏≰10001201=⫏≰121220","layer":3},{"info":"⫏≰10120202⊭∹↮=⫏≰21011111","layer":3},{"info":"⫏≰121220⋝⋈⪟⫏≰21011111=⫏≰121220","layer":2},{"info":"⫏≰1200021⋝⋈⪟⫏≰1121212=⫏≰1200021","layer":3},{"info":"⫏≰110210021⋳⪒⫏≰12212111=⫏≰201022102","layer":3},{"info":"⫏≰1200021⇼⇔∾⫏≰201022102=⫏≰122122011","layer":2},{"info":"⫏≰121220↙⫏≰122122011=⫏≰-1221220110","layer":1},{"info":"⫛⫱⨽⫏≰-1221220110=⫏≰0","layer":0}]}
{"id":423,"expression_no_base_symbol":"(⪲⇎(↯⪼($5126$⫩⊇)))+⇶⊼($5054$⪮%⊝$1010$↙$1510$≭$1351$*((↩$1109$)⊉≛↸(↔$2564$)))","expression":"(⪲⇎(↯⪼(⫏≰21000212⫩⊇)))+⇶⊼(⫏≰20221012⪮%⊝⫏≰1101102↙⫏≰2001221≭⫏≰1212001*((↩⫏≰1112002)⊉≛↸(↔⫏≰10111222)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":60,"operation_count":11,"complexity_ratio":5.454545454545454,"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":5126,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5054,"base":3},"right_expr":{"type":"numeric_atoms","value":1010,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1510,"base":3},"right_expr":{"type":"numeric_atoms","value":1351,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1109,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2564,"base":3}}}}},"used_operators":["TpPTUOHfaN","XPYlsWDdGa","8jW3W4yZS5","BjRHVeLaeN","9HNa5Wba9A","yyfyN0ffXY","IWmyXbctLI","rxpJgHHUmx","DZ8iAZOCBD","jLgFTUHLKL","ruOEQAzv1W"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5126","layer":4},{"info":"compute unary expreesion, input=5126, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5084","layer":3},{"info":"compute unary expreesion, input=-5084, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=9251","layer":2},{"info":"compute unary expreesion, input=9251, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=18502","layer":1},{"info":"number node, value=5054","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=5054, right_input=1010, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10424","layer":3},{"info":"number node, value=1510","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=1351, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=10424, 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=1109","layer":4},{"info":"compute unary expreesion, input=1109, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6092","layer":3},{"info":"number node, value=2564","layer":4},{"info":"compute unary expreesion, input=2564, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2291","layer":3},{"info":"compute binary expreesion, left_input=-6092, right_input=-2291, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2291","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2291, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18502, 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":3,"result_base":3,"text":"(⪲⇎(↯⪼(⫏≰21000212⫩⊇)))+⇶⊼(⫏≰20221012⪮%⊝⫏≰1101102↙⫏≰2001221≭⫏≰1212001*((↩⫏≰1112002)⊉≛↸(↔⫏≰10111222)))=NaN","reverse_text":"NaN=(⪲⇎(↯⪼(⫏≰21000212⫩⊇)))+⇶⊼(⫏≰20221012⪮%⊝⫏≰1101102↙⫏≰2001221≭⫏≰1212001*((↩⫏≰1112002)⊉≛↸(↔⫏≰10111222)))","cot":[{"info":"⫏≰21000212⫩⊇=⫏≰-20222022","layer":3},{"info":"↯⪼⫏≰-20222022=⫏≰110200122","layer":2},{"info":"⪲⇎⫏≰110200122=⫏≰221101021","layer":1},{"info":"⫏≰20221012⪮%⊝⫏≰1101102=⫏≰112022002","layer":3},{"info":"⫏≰2001221≭⫏≰1212001=NaN","layer":3},{"info":"⫏≰112022002↙NaN=NaN","layer":2},{"info":"↩⫏≰1112002=⫏≰-22100122","layer":3},{"info":"↔⫏≰10111222=⫏≰-10010212","layer":3},{"info":"⫏≰-22100122⊉≛↸⫏≰-10010212=⫏≰10010212","layer":2},{"info":"NaN*⫏≰10010212=NaN","layer":1},{"info":"⫏≰221101021+⇶⊼NaN=NaN","layer":0}]}
{"id":424,"expression_no_base_symbol":"($4130$⋝⋈⪟$3202$)≹⇙⪍($3342$∑⇟⊟$2970$)⩷∴($1649$⨳⩥⨓$2279$)≹⇙⪍($5378$⋥≓≎$2645$)⋳⪒(↥(≉($3021$⫡⨏$1256$)))","expression":"(⫏≰12122222⋝⋈⪟⫏≰11101121)≹⇙⪍(⫏≰11120210∑⇟⊟⫏≰11002000)⩷∴(⫏≰2021002⨳⩥⨓⫏≰10010102)≹⇙⪍(⫏≰21101012⋥≓≎⫏≰10121222)⋳⪒(↥(≉(⫏≰11010220⫡⨏⫏≰1201112)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3460,"operation_count":11,"complexity_ratio":314.54545454545456,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4130,"base":3},"right_expr":{"type":"numeric_atoms","value":3202,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3342,"base":3},"right_expr":{"type":"numeric_atoms","value":2970,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1649,"base":3},"right_expr":{"type":"numeric_atoms","value":2279,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5378,"base":3},"right_expr":{"type":"numeric_atoms","value":2645,"base":3}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3021,"base":3},"right_expr":{"type":"numeric_atoms","value":1256,"base":3}}}}},"used_operators":["12rbrZMWeM","9FxExcQeMw","AHs5Up7iyr","2DDjHMKMc0","U7g4x0WXJJ","nCS4ZIUYfx","Qy55tPpLXF","A8NUZmVepG","e1ybzncUwg","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4130","layer":4},{"info":"number node, value=3202","layer":4},{"info":"compute binary expreesion, left_input=4130, right_input=3202, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4130","layer":3},{"info":"number node, value=3342","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=3342, right_input=2970, 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=4130, 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=1649","layer":4},{"info":"number node, value=2279","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=2279, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=630","layer":3},{"info":"number node, value=5378","layer":4},{"info":"number node, value=2645","layer":4},{"info":"compute binary expreesion, left_input=5378, right_input=2645, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=630, right_input=-55, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=3021","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=3021, right_input=1256, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18400","layer":3},{"info":"compute unary expreesion, input=18400, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=18931","layer":2},{"info":"compute unary expreesion, input=18931, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=10","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12122222⋝⋈⪟⫏≰11101121)≹⇙⪍(⫏≰11120210∑⇟⊟⫏≰11002000)⩷∴(⫏≰2021002⨳⩥⨓⫏≰10010102)≹⇙⪍(⫏≰21101012⋥≓≎⫏≰10121222)⋳⪒(↥(≉(⫏≰11010220⫡⨏⫏≰1201112)))=NaN","reverse_text":"NaN=(⫏≰12122222⋝⋈⪟⫏≰11101121)≹⇙⪍(⫏≰11120210∑⇟⊟⫏≰11002000)⩷∴(⫏≰2021002⨳⩥⨓⫏≰10010102)≹⇙⪍(⫏≰21101012⋥≓≎⫏≰10121222)⋳⪒(↥(≉(⫏≰11010220⫡⨏⫏≰1201112)))","cot":[{"info":"⫏≰12122222⋝⋈⪟⫏≰11101121=⫏≰12122222","layer":3},{"info":"⫏≰11120210∑⇟⊟⫏≰11002000=NaN","layer":3},{"info":"⫏≰12122222≹⇙⪍NaN=NaN","layer":2},{"info":"⫏≰2021002⨳⩥⨓⫏≰10010102=⫏≰212100","layer":3},{"info":"⫏≰21101012⋥≓≎⫏≰10121222=⫏≰-2001","layer":3},{"info":"⫏≰212100≹⇙⪍⫏≰-2001=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⫏≰11010220⫡⨏⫏≰1201112=⫏≰221020111","layer":3},{"info":"≉⫏≰221020111=⫏≰221222011","layer":2},{"info":"↥⫏≰221222011=⫏≰101","layer":1},{"info":"NaN⋳⪒⫏≰101=NaN","layer":0}]}
{"id":425,"expression_no_base_symbol":"(($1320$⪛$3563$⨎($2693$↙$3376$))⋝⋈⪟(≉$6973$≹⇙⪍$5123$))∑⇟⊟(↯⪼(∥⊫$1698$)⪮%⊝$8787$⪢$2464$)","expression":"((⫏≰1210220⪛⫏≰11212222⨎(⫏≰10200202↙⫏≰11122001))⋝⋈⪟(≉⫏≰100120021≹⇙⪍⫏≰21000202))∑⇟⊟(↯⪼(∥⊫⫏≰2022220)⪮%⊝⫏≰110001110⪢⫏≰10101021)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10639,"operation_count":11,"complexity_ratio":967.1818181818181,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1320,"base":3},"right_expr":{"type":"numeric_atoms","value":3563,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2693,"base":3},"right_expr":{"type":"numeric_atoms","value":3376,"base":3}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6973,"base":3},"right_expr":{"type":"numeric_atoms","value":5123,"base":3}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1698,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8787,"base":3},"right_expr":{"type":"numeric_atoms","value":2464,"base":3}}}}},"used_operators":["U7g4x0WXJJ","2DDjHMKMc0","rJVOvQCfKK","uFcxV4UQCh","yyfyN0ffXY","e1ybzncUwg","AHs5Up7iyr","8jW3W4yZS5","IWmyXbctLI","P8v4zCKN1o","dWAJyo7jo9"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1320","layer":4},{"info":"number node, value=3563","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=3563, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1320","layer":3},{"info":"number node, value=2693","layer":4},{"info":"number node, value=3376","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=3376, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10128","layer":3},{"info":"compute binary expreesion, left_input=1320, right_input=-10128, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-10128","layer":2},{"info":"number node, value=6973","layer":4},{"info":"number node, value=5123","layer":4},{"info":"compute binary expreesion, left_input=6973, right_input=5123, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10128, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1698","layer":4},{"info":"compute unary expreesion, input=1698, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2566","layer":3},{"info":"number node, value=8787","layer":4},{"info":"number node, value=2464","layer":4},{"info":"compute binary expreesion, left_input=8787, right_input=2464, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2566, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1210220⪛⫏≰11212222⨎(⫏≰10200202↙⫏≰11122001))⋝⋈⪟(≉⫏≰100120021≹⇙⪍⫏≰21000202))∑⇟⊟(↯⪼(∥⊫⫏≰2022220)⪮%⊝⫏≰110001110⪢⫏≰10101021)=NaN","reverse_text":"NaN=((⫏≰1210220⪛⫏≰11212222⨎(⫏≰10200202↙⫏≰11122001))⋝⋈⪟(≉⫏≰100120021≹⇙⪍⫏≰21000202))∑⇟⊟(↯⪼(∥⊫⫏≰2022220)⪮%⊝⫏≰110001110⪢⫏≰10101021)","cot":[{"info":"⫏≰1210220⪛⫏≰11212222=⫏≰1210220","layer":3},{"info":"⫏≰10200202↙⫏≰11122001=⫏≰-111220010","layer":3},{"info":"⫏≰1210220⨎⫏≰-111220010=⫏≰-111220010","layer":2},{"info":"⫏≰100120021≹⇙⪍⫏≰21000202=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⫏≰-111220010⋝⋈⪟NaN=NaN","layer":1},{"info":"∥⊫⫏≰2022220=⫏≰10112001","layer":3},{"info":"⫏≰110001110⪢⫏≰10101021=NaN","layer":3},{"info":"⫏≰10112001⪮%⊝NaN=NaN","layer":2},{"info":"↯⪼NaN=⫏≰-210","layer":1},{"info":"NaN∑⇟⊟⫏≰-210=NaN","layer":0}]}
{"id":426,"expression_no_base_symbol":"↩($1203$⊘)+⇶⊼$6219$⨟⋌⩍$2270$⩚⊴⇥($5577$⪢$1278$*(⊄⩳↩$2153$))","expression":"↩(⫏≰1122120⊘)+⇶⊼⫏≰22112100⨟⋌⩍⫏≰10010002⩚⊴⇥(⫏≰21122120⪢⫏≰1202100*(⊄⩳↩⫏≰2221202))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1517,"operation_count":8,"complexity_ratio":189.625,"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":1203,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6219,"base":3},"right_expr":{"type":"numeric_atoms","value":2270,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5577,"base":3},"right_expr":{"type":"numeric_atoms","value":1278,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2153,"base":3}}}}},"used_operators":["jLgFTUHLKL","NTOWxs364D","TpPTUOHfaN","gu96TGCTMs","rGHVDoGpnC","9HNa5Wba9A","dWAJyo7jo9","8w2t5hMYqp"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Tcnh7f0tEr","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1203","layer":4},{"info":"compute unary expreesion, input=1203, 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=6219","layer":4},{"info":"number node, value=2270","layer":4},{"info":"compute binary expreesion, left_input=6219, right_input=2270, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=5577","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=5577, right_input=1278, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2153","layer":4},{"info":"compute unary expreesion, input=2153, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6459","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6459, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↩(⫏≰1122120⊘)+⇶⊼⫏≰22112100⨟⋌⩍⫏≰10010002⩚⊴⇥(⫏≰21122120⪢⫏≰1202100*(⊄⩳↩⫏≰2221202))=NaN","reverse_text":"NaN=↩(⫏≰1122120⊘)+⇶⊼⫏≰22112100⨟⋌⩍⫏≰10010002⩚⊴⇥(⫏≰21122120⪢⫏≰1202100*(⊄⩳↩⫏≰2221202))","cot":[{"info":"⫏≰1122120⊘=⫏≰0","layer":3},{"info":"⫏≰22112100⨟⋌⩍⫏≰10010002=NaN","layer":3},{"info":"⫏≰0+⇶⊼NaN=NaN","layer":2},{"info":"⫏≰21122120⪢⫏≰1202100=NaN","layer":3},{"info":"⊄⩳↩⫏≰2221202=⫏≰-22212020","layer":3},{"info":"NaN*⫏≰-22212020=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"(⊄⩳↩($4990$⊠≄⫣))≹⇙⪍(($1049$⇋≉)+$4621$⪛$2850$)⨰(($1148$/$1981$)⪒(↥$7069$)+$2114$∑⇟⊟$1760$∑⇟⊟($4683$⋳⪒$1692$))","expression":"(⊄⩳↩(⫏≰20211211⊠≄⫣))≹⇙⪍((⫏≰1102212⇋≉)+⫏≰20100011⪛⫏≰10220120)⨰((⫏≰1120112/⫏≰2201101)⪒(↥⫏≰100200211)+⫏≰2220022∑⇟⊟⫏≰2102012∑⇟⊟(⫏≰20102110⋳⪒⫏≰2022200))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":173,"operation_count":14,"complexity_ratio":12.357142857142858,"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":4990,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1049,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4621,"base":3},"right_expr":{"type":"numeric_atoms","value":2850,"base":3}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1148,"base":3},"right_expr":{"type":"numeric_atoms","value":1981,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7069,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2114,"base":3},"right_expr":{"type":"numeric_atoms","value":1760,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4683,"base":3},"right_expr":{"type":"numeric_atoms","value":1692,"base":3}}}}},"used_operators":["eewbuw0ToL","AHs5Up7iyr","8w2t5hMYqp","DIvbN7qnHd","W4YGzv6Whe","XIabStNQrY","uFcxV4UQCh","f6k1SAg4EE","XhwjNDsVaA","A8NUZmVepG","U7g4x0WXJJ","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4990","layer":4},{"info":"compute unary expreesion, input=4990, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2000","layer":3},{"info":"number node, value=4621","layer":4},{"info":"number node, value=2850","layer":4},{"info":"compute binary expreesion, left_input=4621, right_input=2850, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1771","layer":3},{"info":"compute binary expreesion, left_input=2000, right_input=1771, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3771","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3771, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1148","layer":4},{"info":"number node, value=1981","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=1981, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=7069","layer":4},{"info":"compute unary expreesion, input=7069, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=31","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=31, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-31","layer":2},{"info":"number node, value=2114","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=1760, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4683","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=4683, right_input=1692, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7387","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7387, 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=-31, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊄⩳↩(⫏≰20211211⊠≄⫣))≹⇙⪍((⫏≰1102212⇋≉)+⫏≰20100011⪛⫏≰10220120)⨰((⫏≰1120112/⫏≰2201101)⪒(↥⫏≰100200211)+⫏≰2220022∑⇟⊟⫏≰2102012∑⇟⊟(⫏≰20102110⋳⪒⫏≰2022200))=NaN","reverse_text":"NaN=(⊄⩳↩(⫏≰20211211⊠≄⫣))≹⇙⪍((⫏≰1102212⇋≉)+⫏≰20100011⪛⫏≰10220120)⨰((⫏≰1120112/⫏≰2201101)⪒(↥⫏≰100200211)+⫏≰2220022∑⇟⊟⫏≰2102012∑⇟⊟(⫏≰20102110⋳⪒⫏≰2022200))","cot":[{"info":"⫏≰20211211⊠≄⫣=⫏≰0","layer":3},{"info":"⊄⩳↩⫏≰0=⫏≰0","layer":2},{"info":"⫏≰1102212⇋≉=⫏≰2202002","layer":3},{"info":"⫏≰20100011⪛⫏≰10220120=⫏≰2102121","layer":3},{"info":"⫏≰2202002+⫏≰2102121=⫏≰12011200","layer":2},{"info":"⫏≰0≹⇙⪍⫏≰12011200=NaN","layer":1},{"info":"⫏≰1120112/⫏≰2201101=⫏≰0","layer":3},{"info":"↥⫏≰100200211=⫏≰1011","layer":3},{"info":"⫏≰0⪒⫏≰1011=⫏≰-1011","layer":2},{"info":"⫏≰2220022∑⇟⊟⫏≰2102012=NaN","layer":3},{"info":"⫏≰20102110⋳⪒⫏≰2022200=⫏≰101010121","layer":3},{"info":"NaN∑⇟⊟⫏≰101010121=NaN","layer":2},{"info":"⫏≰-1011+NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":428,"expression_no_base_symbol":"(⇁⨣⪵($1012$⩚⊴⇥$2922$)≹⇙⪍($2279$∲⫓$2641$))+(≉(⨈⫕$3634$)≭($3280$↙$1445$))","expression":"(⇁⨣⪵(⫏≰1101111⩚⊴⇥⫏≰11000020)≹⇙⪍(⫏≰10010102∲⫓⫏≰10121211))+(≉(⨈⫕⫏≰11222121)≭(⫏≰11111111↙⫏≰1222112))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1844,"operation_count":9,"complexity_ratio":204.88888888888889,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1012,"base":3},"right_expr":{"type":"numeric_atoms","value":2922,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2279,"base":3},"right_expr":{"type":"numeric_atoms","value":2641,"base":3}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3634,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3280,"base":3},"right_expr":{"type":"numeric_atoms","value":1445,"base":3}}}}},"used_operators":["W4YGzv6Whe","inkyxCbjAn","AHs5Up7iyr","NTOWxs364D","i8ToyICDmI","e1ybzncUwg","rxpJgHHUmx","megm06wKyl","yyfyN0ffXY"],"dependent_operators":["B5M0gjZbta","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":4},{"info":"number node, value=2922","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2922, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4055","layer":3},{"info":"number node, value=2279","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=2641, 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=-4055, 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=-4055","layer":2},{"info":"compute unary expreesion, input=-4055, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=3634","layer":4},{"info":"compute unary expreesion, input=3634, 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=3280","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=3280, right_input=1445, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4335","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-4335, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇁⨣⪵(⫏≰1101111⩚⊴⇥⫏≰11000020)≹⇙⪍(⫏≰10010102∲⫓⫏≰10121211))+(≉(⨈⫕⫏≰11222121)≭(⫏≰11111111↙⫏≰1222112))=NaN","reverse_text":"NaN=(⇁⨣⪵(⫏≰1101111⩚⊴⇥⫏≰11000020)≹⇙⪍(⫏≰10010102∲⫓⫏≰10121211))+(≉(⨈⫕⫏≰11222121)≭(⫏≰11111111↙⫏≰1222112))","cot":[{"info":"⫏≰1101111⩚⊴⇥⫏≰11000020=⫏≰-12120012","layer":3},{"info":"⫏≰10010102∲⫓⫏≰10121211=⫏≰0","layer":3},{"info":"⫏≰-12120012≹⇙⪍⫏≰0=⫏≰-12120012","layer":2},{"info":"⇁⨣⪵⫏≰-12120012=NaN","layer":1},{"info":"⨈⫕⫏≰11222121=⫏≰-210","layer":3},{"info":"⫏≰11111111↙⫏≰1222112=⫏≰-12221120","layer":3},{"info":"⫏≰-210≭⫏≰-12221120=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":429,"expression_no_base_symbol":"(⊄⩳↩(($1703$⋷$7297$)⩷∴(⩦⩻⨪$1680$)))≣⋋","expression":"(⊄⩳↩((⫏≰2100002⋷⫏≰101000021)⩷∴(⩦⩻⨪⫏≰2022020)))≣⋋","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":529,"operation_count":5,"complexity_ratio":105.8,"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":1703,"base":3},"right_expr":{"type":"numeric_atoms","value":7297,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1680,"base":3}}}}},"used_operators":["Tcnh7f0tEr","8w2t5hMYqp","9FxExcQeMw","23Mk6UjR3U","2td37pGCOC"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1703","layer":4},{"info":"number node, value=7297","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=7297, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12891","layer":3},{"info":"number node, value=1680","layer":4},{"info":"compute unary expreesion, input=1680, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1680","layer":3},{"info":"compute binary expreesion, left_input=12891, right_input=1680, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=22390","layer":2},{"info":"compute unary expreesion, input=22390, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-67170","layer":1},{"info":"compute unary expreesion, input=-67170, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⊄⩳↩((⫏≰2100002⋷⫏≰101000021)⩷∴(⩦⩻⨪⫏≰2022020)))≣⋋=⫏≰0","reverse_text":"⫏≰0=(⊄⩳↩((⫏≰2100002⋷⫏≰101000021)⩷∴(⩦⩻⨪⫏≰2022020)))≣⋋","cot":[{"info":"⫏≰2100002⋷⫏≰101000021=⫏≰122200110","layer":3},{"info":"⩦⩻⨪⫏≰2022020=⫏≰2022020","layer":3},{"info":"⫏≰122200110⩷∴⫏≰2022020=⫏≰1010201021","layer":2},{"info":"⊄⩳↩⫏≰1010201021=⫏≰-10102010210","layer":1},{"info":"⫏≰-10102010210≣⋋=⫏≰0","layer":0}]}
{"id":430,"expression_no_base_symbol":"($1382$⨰$2586$⇼⇔∾$1756$⩷∴$8095$)≹⇙⪍(($1487$↬$6278$)⇷(≦∁$5215$))⨽($1176$⨪↰⇹$5419$⨓(⨵≀≌$1350$))⪢(⨰⫟⨤($3555$⨓$5916$))","expression":"(⫏≰1220012⨰⫏≰10112210⇼⇔∾⫏≰2102001⩷∴⫏≰102002211)≹⇙⪍((⫏≰2001002↬⫏≰22121112)⇷(≦∁⫏≰21011011))⨽(⫏≰1121120⨪↰⇹⫏≰21102201⨓(⨵≀≌⫏≰1212000))⪢(⨰⫟⨤(⫏≰11212200⨓⫏≰22010010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":35760,"operation_count":14,"complexity_ratio":2554.285714285714,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1382,"base":3},"right_expr":{"type":"numeric_atoms","value":2586,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1756,"base":3},"right_expr":{"type":"numeric_atoms","value":8095,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1487,"base":3},"right_expr":{"type":"numeric_atoms","value":6278,"base":3}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5215,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1176,"base":3},"right_expr":{"type":"numeric_atoms","value":5419,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1350,"base":3}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3555,"base":3},"right_expr":{"type":"numeric_atoms","value":5916,"base":3}}}}},"used_operators":["8HhzD0ZcuI","AHs5Up7iyr","tifHPKVTfV","eewbuw0ToL","9FxExcQeMw","mp7IySMOzn","B5M0gjZbta","9ICcGScMcE","dWAJyo7jo9","3ViojmjbAp","tmPS8pqC7x","srAu1WTS94","Tw270M8GLb"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1382","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=2586, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1194","layer":3},{"info":"number node, value=1756","layer":4},{"info":"number node, value=8095","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=8095, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12710","layer":3},{"info":"compute binary expreesion, left_input=-1194, right_input=-12710, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-11516","layer":2},{"info":"number node, value=1487","layer":4},{"info":"number node, value=6278","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=6278, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5215","layer":4},{"info":"compute unary expreesion, input=5215, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5215","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5215, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10430","layer":2},{"info":"compute binary expreesion, left_input=-11516, right_input=10430, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1176","layer":4},{"info":"number node, value=5419","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=5419, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1176","layer":3},{"info":"number node, value=1350","layer":4},{"info":"compute unary expreesion, input=1350, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4050","layer":3},{"info":"compute binary expreesion, left_input=1176, right_input=-4050, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=4047","layer":2},{"info":"number node, value=3555","layer":4},{"info":"number node, value=5916","layer":4},{"info":"compute binary expreesion, left_input=3555, right_input=5916, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5919","layer":3},{"info":"compute unary expreesion, input=-5919, 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=4047, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1220012⨰⫏≰10112210⇼⇔∾⫏≰2102001⩷∴⫏≰102002211)≹⇙⪍((⫏≰2001002↬⫏≰22121112)⇷(≦∁⫏≰21011011))⨽(⫏≰1121120⨪↰⇹⫏≰21102201⨓(⨵≀≌⫏≰1212000))⪢(⨰⫟⨤(⫏≰11212200⨓⫏≰22010010))=NaN","reverse_text":"NaN=(⫏≰1220012⨰⫏≰10112210⇼⇔∾⫏≰2102001⩷∴⫏≰102002211)≹⇙⪍((⫏≰2001002↬⫏≰22121112)⇷(≦∁⫏≰21011011))⨽(⫏≰1121120⨪↰⇹⫏≰21102201⨓(⨵≀≌⫏≰1212000))⪢(⨰⫟⨤(⫏≰11212200⨓⫏≰22010010))","cot":[{"info":"⫏≰1220012⨰⫏≰10112210=⫏≰-1122020","layer":3},{"info":"⫏≰2102001⩷∴⫏≰102002211=⫏≰-122102202","layer":3},{"info":"⫏≰-1122020⇼⇔∾⫏≰-122102202=⫏≰-120210112","layer":2},{"info":"⫏≰2001002↬⫏≰22121112=NaN","layer":3},{"info":"≦∁⫏≰21011011=⫏≰21011011","layer":3},{"info":"NaN⇷⫏≰21011011=⫏≰112022022","layer":2},{"info":"⫏≰-120210112≹⇙⪍⫏≰112022022=NaN","layer":1},{"info":"⫏≰1121120⨪↰⇹⫏≰21102201=⫏≰1121120","layer":3},{"info":"⨵≀≌⫏≰1212000=⫏≰-12120000","layer":3},{"info":"⫏≰1121120⨓⫏≰-12120000=⫏≰12112220","layer":2},{"info":"⫏≰11212200⨓⫏≰22010010=⫏≰-22010020","layer":3},{"info":"⨰⫟⨤⫏≰-22010020=NaN","layer":2},{"info":"⫏≰12112220⪢NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":431,"expression_no_base_symbol":"⩦⩻⨪($6471$≧⫂∧$2467$⫥∨⫟$2198$∼$3728$)≭($1261$↬$3594$⋥≓≎$7316$⩚⊴⇥$3193$)","expression":"⩦⩻⨪(⫏≰22212200≧⫂∧⫏≰10101101⫥∨⫟⫏≰10000102∼⫏≰12010002)≭(⫏≰1201201↬⫏≰11221010⋥≓≎⫏≰101000222⩚⊴⇥⫏≰11101021)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":759,"operation_count":8,"complexity_ratio":94.875,"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":6471,"base":3},"right_expr":{"type":"numeric_atoms","value":2467,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2198,"base":3},"right_expr":{"type":"numeric_atoms","value":3728,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1261,"base":3},"right_expr":{"type":"numeric_atoms","value":3594,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7316,"base":3},"right_expr":{"type":"numeric_atoms","value":3193,"base":3}}}}},"used_operators":["2td37pGCOC","rxpJgHHUmx","KYD54nUTWz","Ph9nP6C5qx","DyGG3AbaNP","Qy55tPpLXF","B5M0gjZbta","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6471","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=6471, right_input=2467, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1994","layer":3},{"info":"number node, value=2198","layer":4},{"info":"number node, value=3728","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=3728, 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=1994, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1261","layer":4},{"info":"number node, value=3594","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=3594, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7316","layer":4},{"info":"number node, value=3193","layer":4},{"info":"compute binary expreesion, left_input=7316, right_input=3193, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10630","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10630, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⩦⩻⨪(⫏≰22212200≧⫂∧⫏≰10101101⫥∨⫟⫏≰10000102∼⫏≰12010002)≭(⫏≰1201201↬⫏≰11221010⋥≓≎⫏≰101000222⩚⊴⇥⫏≰11101021)=NaN","reverse_text":"NaN=⩦⩻⨪(⫏≰22212200≧⫂∧⫏≰10101101⫥∨⫟⫏≰10000102∼⫏≰12010002)≭(⫏≰1201201↬⫏≰11221010⋥≓≎⫏≰101000222⩚⊴⇥⫏≰11101021)","cot":[{"info":"⫏≰22212200≧⫂∧⫏≰10101101=⫏≰2201212","layer":3},{"info":"⫏≰10000102∼⫏≰12010002=NaN","layer":3},{"info":"⫏≰2201212⫥∨⫟NaN=NaN","layer":2},{"info":"⫏≰1201201↬⫏≰11221010=NaN","layer":3},{"info":"⫏≰101000222⩚⊴⇥⫏≰11101021=⫏≰-112120201","layer":3},{"info":"NaN⋥≓≎⫏≰-112120201=⫏≰2111","layer":2},{"info":"NaN≭⫏≰2111=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":432,"expression_no_base_symbol":"($2480$⫥∨⫟$1979$/($6161$⫩⊇))≧⫂∧(($1030$⪄$1647$)⨁⊸⫻)*($2480$≎⊠⪸$6184$⊉≛↸$1713$⨎$6133$)⫥∨⫟($3209$+⇶⊼$1984$)⩷∴$3851$⪢$2136$","expression":"(⫏≰10101212⫥∨⫟⫏≰2201022/(⫏≰22110012⫩⊇))≧⫂∧((⫏≰1102011⪄⫏≰2021000)⨁⊸⫻)*(⫏≰10101212≎⊠⪸⫏≰22111001⊉≛↸⫏≰2100110⨎⫏≰22102011)⫥∨⫟(⫏≰11101212+⇶⊼⫏≰2201111)⩷∴⫏≰12021122⪢⫏≰2221010","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7297,"operation_count":14,"complexity_ratio":521.2142857142857,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2480,"base":3},"right_expr":{"type":"numeric_atoms","value":1979,"base":3}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6161,"base":3}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1030,"base":3},"right_expr":{"type":"numeric_atoms","value":1647,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2480,"base":3},"right_expr":{"type":"numeric_atoms","value":6184,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1713,"base":3},"right_expr":{"type":"numeric_atoms","value":6133,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3209,"base":3},"right_expr":{"type":"numeric_atoms","value":1984,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3851,"base":3},"right_expr":{"type":"numeric_atoms","value":2136,"base":3}}}}},"used_operators":["9HNa5Wba9A","Ph9nP6C5qx","XhwjNDsVaA","KYD54nUTWz","BjRHVeLaeN","glklzrTFfD","SUmda5xLS4","DZ8iAZOCBD","bJkvcejdHO","rJVOvQCfKK","9FxExcQeMw","TpPTUOHfaN","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2480","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=2480, right_input=1979, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6161","layer":4},{"info":"compute unary expreesion, input=6161, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-6119","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6119, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1030","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1647, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-155117","layer":3},{"info":"compute unary expreesion, input=-155117, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-310234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-310234, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=2480","layer":4},{"info":"number node, value=6184","layer":4},{"info":"compute binary expreesion, left_input=2480, right_input=6184, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=641847","layer":3},{"info":"number node, value=1713","layer":4},{"info":"number node, value=6133","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=6133, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6133","layer":3},{"info":"compute binary expreesion, left_input=641847, right_input=6133, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1283694","layer":2},{"info":"number node, value=3209","layer":4},{"info":"number node, value=1984","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=1984, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3851","layer":4},{"info":"number node, value=2136","layer":4},{"info":"compute binary expreesion, left_input=3851, right_input=2136, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1283694, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10101212⫥∨⫟⫏≰2201022/(⫏≰22110012⫩⊇))≧⫂∧((⫏≰1102011⪄⫏≰2021000)⨁⊸⫻)*(⫏≰10101212≎⊠⪸⫏≰22111001⊉≛↸⫏≰2100110⨎⫏≰22102011)⫥∨⫟(⫏≰11101212+⇶⊼⫏≰2201111)⩷∴⫏≰12021122⪢⫏≰2221010=NaN","reverse_text":"NaN=(⫏≰10101212⫥∨⫟⫏≰2201022/(⫏≰22110012⫩⊇))≧⫂∧((⫏≰1102011⪄⫏≰2021000)⨁⊸⫻)*(⫏≰10101212≎⊠⪸⫏≰22111001⊉≛↸⫏≰2100110⨎⫏≰22102011)⫥∨⫟(⫏≰11101212+⇶⊼⫏≰2201111)⩷∴⫏≰12021122⪢⫏≰2221010","cot":[{"info":"⫏≰10101212⫥∨⫟⫏≰2201022=NaN","layer":3},{"info":"⫏≰22110012⫩⊇=⫏≰-22101122","layer":3},{"info":"NaN/⫏≰-22101122=NaN","layer":2},{"info":"⫏≰1102011⪄⫏≰2021000=⫏≰-21212210002","layer":3},{"info":"⫏≰-21212210002⨁⊸⫻=⫏≰-120202120011","layer":2},{"info":"NaN≧⫂∧⫏≰-120202120011=NaN","layer":1},{"info":"⫏≰10101212≎⊠⪸⫏≰22111001=⫏≰1012121110010","layer":3},{"info":"⫏≰2100110⨎⫏≰22102011=⫏≰22102011","layer":3},{"info":"⫏≰1012121110010⊉≛↸⫏≰22102011=⫏≰2102012220020","layer":2},{"info":"⫏≰11101212+⇶⊼⫏≰2201111=NaN","layer":3},{"info":"⫏≰12021122⪢⫏≰2221010=NaN","layer":3},{"info":"NaN⩷∴NaN=NaN","layer":2},{"info":"⫏≰2102012220020⫥∨⫟NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":433,"expression_no_base_symbol":"↣≠⋷(⨵≀≌($2811$∲⫓$3336$)⨓($3759$%$1559$))","expression":"↣≠⋷(⨵≀≌(⫏≰10212010∲⫓⫏≰11120120)⨓(⫏≰12011020%⫏≰2010202))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1303,"operation_count":5,"complexity_ratio":260.6,"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":2811,"base":3},"right_expr":{"type":"numeric_atoms","value":3336,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3759,"base":3},"right_expr":{"type":"numeric_atoms","value":1559,"base":3}}}}},"used_operators":["Asc51vEJeQ","srAu1WTS94","3ViojmjbAp","i8ToyICDmI","k8jYdgA6NY"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2811","layer":4},{"info":"number node, value=3336","layer":4},{"info":"compute binary expreesion, left_input=2811, right_input=3336, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3759","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=3759, right_input=1559, op_id = k8jYdgA6NY binary_op_definition= 'None', output=641","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=641, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-644","layer":2},{"info":"compute unary expreesion, input=-644, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=414736","layer":1},{"info":"compute unary expreesion, input=414736, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↣≠⋷(⨵≀≌(⫏≰10212010∲⫓⫏≰11120120)⨓(⫏≰12011020%⫏≰2010202))=NaN","reverse_text":"NaN=↣≠⋷(⨵≀≌(⫏≰10212010∲⫓⫏≰11120120)⨓(⫏≰12011020%⫏≰2010202))","cot":[{"info":"⫏≰10212010∲⫓⫏≰11120120=⫏≰0","layer":3},{"info":"⫏≰12011020%⫏≰2010202=⫏≰212202","layer":3},{"info":"⫏≰0⨓⫏≰212202=⫏≰-212212","layer":2},{"info":"⨵≀≌⫏≰-212212=⫏≰210001220121","layer":1},{"info":"↣≠⋷⫏≰210001220121=NaN","layer":0}]}
{"id":434,"expression_no_base_symbol":"((⫛⫱⨽$2393$)⨪↰⇹$4998$⨟⋌⩍$2832$⪒$5318$⋝⋈⪟$4414$⩨$4525$⨪↰⇹$9211$)⨓($3768$⪮%⊝$3647$+⇶⊼($2585$⩨$5486$))⪛($1004$≭$2177$+$1866$⋳⪒$8188$)","expression":"((⫛⫱⨽⫏≰10021122)⨪↰⇹⫏≰20212010⨟⋌⩍⫏≰10212220⪒⫏≰21021222⋝⋈⪟⫏≰20001111⩨⫏≰20012121⨪↰⇹⫏≰110122011)⨓(⫏≰12011120⪮%⊝⫏≰12000002+⇶⊼(⫏≰10112202⩨⫏≰21112012))⪛(⫏≰1101012≭⫏≰2222122+⫏≰2120010⋳⪒⫏≰102020021)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11266,"operation_count":15,"complexity_ratio":751.0666666666667,"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":2393,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4998,"base":3},"right_expr":{"type":"numeric_atoms","value":2832,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5318,"base":3},"right_expr":{"type":"numeric_atoms","value":4414,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4525,"base":3},"right_expr":{"type":"numeric_atoms","value":9211,"base":3}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3768,"base":3},"right_expr":{"type":"numeric_atoms","value":3647,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2585,"base":3},"right_expr":{"type":"numeric_atoms","value":5486,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1004,"base":3},"right_expr":{"type":"numeric_atoms","value":2177,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1866,"base":3},"right_expr":{"type":"numeric_atoms","value":8188,"base":3}}}}},"used_operators":["3ViojmjbAp","f6k1SAg4EE","tmPS8pqC7x","DlLNRPXxWL","rGHVDoGpnC","2DlMacCsIx","2DDjHMKMc0","uFcxV4UQCh","TpPTUOHfaN","IWmyXbctLI","W4YGzv6Whe","rxpJgHHUmx","12rbrZMWeM"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rGHVDoGpnC","Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2393","layer":4},{"info":"compute unary expreesion, input=2393, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=4998","layer":4},{"info":"number node, value=2832","layer":4},{"info":"compute binary expreesion, left_input=4998, right_input=2832, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=5318","layer":4},{"info":"number node, value=4414","layer":4},{"info":"compute binary expreesion, left_input=5318, right_input=4414, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5318","layer":3},{"info":"number node, value=4525","layer":4},{"info":"number node, value=9211","layer":4},{"info":"compute binary expreesion, left_input=4525, right_input=9211, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4525","layer":3},{"info":"compute binary expreesion, left_input=5318, right_input=4525, 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=0, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=0","layer":1},{"info":"number node, value=3768","layer":4},{"info":"number node, value=3647","layer":4},{"info":"compute binary expreesion, left_input=3768, right_input=3647, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7852","layer":3},{"info":"number node, value=2585","layer":4},{"info":"number node, value=5486","layer":4},{"info":"compute binary expreesion, left_input=2585, right_input=5486, 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=7852, right_input=-6, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1004","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2177, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1866","layer":4},{"info":"number node, value=8188","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=8188, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4743","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4743, op_id = W4YGzv6Whe binary_op_definition= 'None', 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=0, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫛⫱⨽⫏≰10021122)⨪↰⇹⫏≰20212010⨟⋌⩍⫏≰10212220⪒⫏≰21021222⋝⋈⪟⫏≰20001111⩨⫏≰20012121⨪↰⇹⫏≰110122011)⨓(⫏≰12011120⪮%⊝⫏≰12000002+⇶⊼(⫏≰10112202⩨⫏≰21112012))⪛(⫏≰1101012≭⫏≰2222122+⫏≰2120010⋳⪒⫏≰102020021)=NaN","reverse_text":"NaN=((⫛⫱⨽⫏≰10021122)⨪↰⇹⫏≰20212010⨟⋌⩍⫏≰10212220⪒⫏≰21021222⋝⋈⪟⫏≰20001111⩨⫏≰20012121⨪↰⇹⫏≰110122011)⨓(⫏≰12011120⪮%⊝⫏≰12000002+⇶⊼(⫏≰10112202⩨⫏≰21112012))⪛(⫏≰1101012≭⫏≰2222122+⫏≰2120010⋳⪒⫏≰102020021)","cot":[{"info":"⫛⫱⨽⫏≰10021122=⫏≰0","layer":3},{"info":"⫏≰20212010⨟⋌⩍⫏≰10212220=NaN","layer":3},{"info":"⫏≰0⨪↰⇹NaN=⫏≰0","layer":2},{"info":"⫏≰21021222⋝⋈⪟⫏≰20001111=⫏≰21021222","layer":3},{"info":"⫏≰20012121⨪↰⇹⫏≰110122011=⫏≰20012121","layer":3},{"info":"⫏≰21021222⩨⫏≰20012121=⫏≰0","layer":2},{"info":"⫏≰0⪒⫏≰0=⫏≰0","layer":1},{"info":"⫏≰12011120⪮%⊝⫏≰12000002=⫏≰101202211","layer":3},{"info":"⫏≰10112202⩨⫏≰21112012=⫏≰-20","layer":3},{"info":"⫏≰101202211+⇶⊼⫏≰-20=NaN","layer":2},{"info":"⫏≰1101012≭⫏≰2222122=NaN","layer":3},{"info":"⫏≰2120010⋳⪒⫏≰102020021=⫏≰-20111200","layer":3},{"info":"NaN+⫏≰-20111200=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⫏≰0⨓NaN=NaN","layer":0}]}
{"id":435,"expression_no_base_symbol":"(⨈⫕($1357$⨵⪆$6516$))⨟⋌⩍($1047$⊴$3448$⩨(⪲⇎$1092$))⇼⇔∾((⨞⊢$5962$)⊭↱$1896$⋳⪒$4730$)⩷∴((+⊝⨔$7617$)⨳⩥⨓($1046$∸))","expression":"(⨈⫕(⫏≰1212021⨵⪆⫏≰22221100))⨟⋌⩍(⫏≰1102210⊴⫏≰11201201⩨(⪲⇎⫏≰1111110))⇼⇔∾((⨞⊢⫏≰22011211)⊭↱⫏≰2121020⋳⪒⫏≰20111012)⩷∴((+⊝⨔⫏≰101110010)⨳⩥⨓(⫏≰1102202∸))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4091,"operation_count":14,"complexity_ratio":292.2142857142857,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1357,"base":3},"right_expr":{"type":"numeric_atoms","value":6516,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1047,"base":3},"right_expr":{"type":"numeric_atoms","value":3448,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1092,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5962,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1896,"base":3},"right_expr":{"type":"numeric_atoms","value":4730,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":7617,"base":3}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1046,"base":3}}}}},"used_operators":["tifHPKVTfV","rGHVDoGpnC","megm06wKyl","2DQ55sFlQl","2DlMacCsIx","Nsiff2A1zJ","XPYlsWDdGa","9FxExcQeMw","COABgblf1C","xUOZtlo3hN","12rbrZMWeM","nCS4ZIUYfx","DhbWaqg5eL","o20kRiQErp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1357","layer":4},{"info":"number node, value=6516","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=6516, 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 = 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=1047","layer":4},{"info":"number node, value=3448","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=3448, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1092","layer":4},{"info":"compute unary expreesion, input=1092, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2184","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2184, 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=-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":1},{"info":"number node, value=5962","layer":4},{"info":"compute unary expreesion, input=5962, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6136","layer":3},{"info":"number node, value=1896","layer":4},{"info":"number node, value=4730","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=4730, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1225","layer":3},{"info":"compute binary expreesion, left_input=-6136, right_input=-1225, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9827","layer":2},{"info":"number node, value=7617","layer":4},{"info":"compute unary expreesion, input=7617, 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=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=177, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1345","layer":2},{"info":"compute binary expreesion, left_input=9827, right_input=-1345, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=22312","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=22312, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨈⫕(⫏≰1212021⨵⪆⫏≰22221100))⨟⋌⩍(⫏≰1102210⊴⫏≰11201201⩨(⪲⇎⫏≰1111110))⇼⇔∾((⨞⊢⫏≰22011211)⊭↱⫏≰2121020⋳⪒⫏≰20111012)⩷∴((+⊝⨔⫏≰101110010)⨳⩥⨓(⫏≰1102202∸))=NaN","reverse_text":"NaN=(⨈⫕(⫏≰1212021⨵⪆⫏≰22221100))⨟⋌⩍(⫏≰1102210⊴⫏≰11201201⩨(⪲⇎⫏≰1111110))⇼⇔∾((⨞⊢⫏≰22011211)⊭↱⫏≰2121020⋳⪒⫏≰20111012)⩷∴((+⊝⨔⫏≰101110010)⨳⩥⨓(⫏≰1102202∸))","cot":[{"info":"⫏≰1212021⨵⪆⫏≰22221100=⫏≰12221","layer":3},{"info":"⨈⫕⫏≰12221=⫏≰-210","layer":2},{"info":"⫏≰1102210⊴⫏≰11201201=NaN","layer":3},{"info":"⪲⇎⫏≰1111110=⫏≰2222220","layer":3},{"info":"NaN⩨⫏≰2222220=NaN","layer":2},{"info":"⫏≰-210⨟⋌⩍NaN=NaN","layer":1},{"info":"⨞⊢⫏≰22011211=⫏≰-22102021","layer":3},{"info":"⫏≰2121020⋳⪒⫏≰20111012=⫏≰-1200101","layer":3},{"info":"⫏≰-22102021⊭↱⫏≰-1200101=⫏≰111110222","layer":2},{"info":"+⊝⨔⫏≰101110010=⫏≰2002101","layer":3},{"info":"⫏≰1102202∸=⫏≰20120","layer":3},{"info":"⫏≰2002101⨳⩥⨓⫏≰20120=⫏≰-1211211","layer":2},{"info":"⫏≰111110222⩷∴⫏≰-1211211=⫏≰1010121101","layer":1},{"info":"NaN⇼⇔∾⫏≰1010121101=NaN","layer":0}]}
{"id":436,"expression_no_base_symbol":"$1249$⨰$5518$⋝⋈⪟(-$3753$)≧⫂∧(($1321$⨳⩥⨓$7350$)≧⫂∧($1396$+$5020$))∲⫓($2034$⋥≓≎$1663$↺$1091$∀⇚≩$1201$)≹⇙⪍(⨞⊢(-$1992$))","expression":"⫏≰1201021⨰⫏≰21120101⋝⋈⪟(-⫏≰12011000)≧⫂∧((⫏≰1210221⨳⩥⨓⫏≰101002020)≧⫂∧(⫏≰1220201+⫏≰20212221))∲⫓(⫏≰2210100⋥≓≎⫏≰2021121↺⫏≰1111102∀⇚≩⫏≰1122111)≹⇙⪍(⨞⊢(-⫏≰2201210))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7665,"operation_count":14,"complexity_ratio":547.5,"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":1249,"base":3},"right_expr":{"type":"numeric_atoms","value":5518,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3753,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1321,"base":3},"right_expr":{"type":"numeric_atoms","value":7350,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1396,"base":3},"right_expr":{"type":"numeric_atoms","value":5020,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2034,"base":3},"right_expr":{"type":"numeric_atoms","value":1663,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1091,"base":3},"right_expr":{"type":"numeric_atoms","value":1201,"base":3}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1992,"base":3}}}}},"used_operators":["i8ToyICDmI","Ph9nP6C5qx","2DDjHMKMc0","eewbuw0ToL","t8gj7n24qd","nCS4ZIUYfx","W4YGzv6Whe","AHs5Up7iyr","7j4O788W3g","Qy55tPpLXF","LRNGc0VcxI","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1249","layer":4},{"info":"number node, value=5518","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=5518, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4259","layer":3},{"info":"number node, value=3753","layer":4},{"info":"compute unary expreesion, input=3753, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3753","layer":3},{"info":"compute binary expreesion, left_input=-4259, right_input=-3753, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-4259","layer":2},{"info":"number node, value=1321","layer":4},{"info":"number node, value=7350","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=7350, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6029","layer":3},{"info":"number node, value=1396","layer":4},{"info":"number node, value=5020","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=5020, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6416","layer":3},{"info":"compute binary expreesion, left_input=6029, right_input=6416, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5943","layer":2},{"info":"compute binary expreesion, left_input=-4259, right_input=5943, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5470","layer":1},{"info":"number node, value=2034","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=1663, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1325","layer":3},{"info":"number node, value=1091","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=1201, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1325, 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=1992","layer":4},{"info":"compute unary expreesion, input=1992, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1992","layer":3},{"info":"compute unary expreesion, input=-1992, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1818","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1818, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=5470, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫏≰1201021⨰⫏≰21120101⋝⋈⪟(-⫏≰12011000)≧⫂∧((⫏≰1210221⨳⩥⨓⫏≰101002020)≧⫂∧(⫏≰1220201+⫏≰20212221))∲⫓(⫏≰2210100⋥≓≎⫏≰2021121↺⫏≰1111102∀⇚≩⫏≰1122111)≹⇙⪍(⨞⊢(-⫏≰2201210))=NaN","reverse_text":"NaN=⫏≰1201021⨰⫏≰21120101⋝⋈⪟(-⫏≰12011000)≧⫂∧((⫏≰1210221⨳⩥⨓⫏≰101002020)≧⫂∧(⫏≰1220201+⫏≰20212221))∲⫓(⫏≰2210100⋥≓≎⫏≰2021121↺⫏≰1111102∀⇚≩⫏≰1122111)≹⇙⪍(⨞⊢(-⫏≰2201210))","cot":[{"info":"⫏≰1201021⨰⫏≰21120101=⫏≰-12211202","layer":3},{"info":"-⫏≰12011000=⫏≰-12011000","layer":3},{"info":"⫏≰-12211202⋝⋈⪟⫏≰-12011000=⫏≰-12211202","layer":2},{"info":"⫏≰1210221⨳⩥⨓⫏≰101002020=⫏≰22021022","layer":3},{"info":"⫏≰1220201+⫏≰20212221=⫏≰22210122","layer":3},{"info":"⫏≰22021022≧⫂∧⫏≰22210122=⫏≰22011010","layer":2},{"info":"⫏≰-12211202≧⫂∧⫏≰22011010=⫏≰21111121","layer":1},{"info":"⫏≰2210100⋥≓≎⫏≰2021121=⫏≰1211002","layer":3},{"info":"⫏≰1111102∀⇚≩⫏≰1122111=NaN","layer":3},{"info":"⫏≰1211002↺NaN=NaN","layer":2},{"info":"-⫏≰2201210=⫏≰-2201210","layer":3},{"info":"⨞⊢⫏≰-2201210=⫏≰2111100","layer":2},{"info":"NaN≹⇙⪍⫏≰2111100=NaN","layer":1},{"info":"⫏≰21111121∲⫓NaN=NaN","layer":0}]}
{"id":437,"expression_no_base_symbol":"(↩(≤/$2012$))≧⫂∧((≦∁$1193$)⪄($6175$⪠⩆⊳))⨸⪁(⫛⫱⨽$2888$)⨪↰⇹($1052$↙$3418$)↺((-$2122$)↺$2455$⋥≓≎$6983$)","expression":"(↩(≤/⫏≰2202112))≧⫂∧((≦∁⫏≰1122012)⪄(⫏≰22110201⪠⩆⊳))⨸⪁(⫛⫱⨽⫏≰10221222)⨪↰⇹(⫏≰1102222↙⫏≰11200121)↺((-⫏≰2220121)↺⫏≰10100221⋥≓≎⫏≰100120122)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4981,"operation_count":14,"complexity_ratio":355.7857142857143,"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":2012,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1193,"base":3}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6175,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2888,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1052,"base":3},"right_expr":{"type":"numeric_atoms","value":3418,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2122,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2455,"base":3},"right_expr":{"type":"numeric_atoms","value":6983,"base":3}}}}},"used_operators":["g55IO6H4Gj","Ph9nP6C5qx","jLgFTUHLKL","eLAdDNolq6","SUmda5xLS4","9ICcGScMcE","JLbD19bQDL","7j4O788W3g","tmPS8pqC7x","DlLNRPXxWL","yyfyN0ffXY","t8gj7n24qd","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰201121022001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2012","layer":4},{"info":"compute unary expreesion, input=2012, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1528","layer":3},{"info":"compute unary expreesion, input=-1528, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=8732","layer":2},{"info":"number node, value=1193","layer":4},{"info":"compute unary expreesion, input=1193, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1193","layer":3},{"info":"number node, value=6175","layer":4},{"info":"compute unary expreesion, input=6175, 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=1193, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-172653","layer":2},{"info":"compute binary expreesion, left_input=8732, right_input=-172653, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=181385","layer":1},{"info":"number node, value=2888","layer":4},{"info":"compute unary expreesion, input=2888, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=3418, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10254","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10254, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=2122","layer":4},{"info":"compute unary expreesion, input=2122, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2122","layer":3},{"info":"number node, value=2455","layer":4},{"info":"number node, value=6983","layer":4},{"info":"compute binary expreesion, left_input=2455, right_input=6983, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11544","layer":3},{"info":"compute binary expreesion, left_input=-2122, right_input=11544, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=11544","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=11544, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=11544","layer":1},{"info":"compute binary expreesion, left_input=181385, right_input=11544, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=385858","layer":0}],"base":3,"result_base":3,"text":"(↩(≤/⫏≰2202112))≧⫂∧((≦∁⫏≰1122012)⪄(⫏≰22110201⪠⩆⊳))⨸⪁(⫛⫱⨽⫏≰10221222)⨪↰⇹(⫏≰1102222↙⫏≰11200121)↺((-⫏≰2220121)↺⫏≰10100221⋥≓≎⫏≰100120122)=⫏≰201121022001","reverse_text":"⫏≰201121022001=(↩(≤/⫏≰2202112))≧⫂∧((≦∁⫏≰1122012)⪄(⫏≰22110201⪠⩆⊳))⨸⪁(⫛⫱⨽⫏≰10221222)⨪↰⇹(⫏≰1102222↙⫏≰11200121)↺((-⫏≰2220121)↺⫏≰10100221⋥≓≎⫏≰100120122)","cot":[{"info":"≤/⫏≰2202112=⫏≰-2002121","layer":3},{"info":"↩⫏≰-2002121=⫏≰102222102","layer":2},{"info":"≦∁⫏≰1122012=⫏≰1122012","layer":3},{"info":"⫏≰22110201⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰1122012⪄⫏≰0=⫏≰-22202211120","layer":2},{"info":"⫏≰102222102≧⫂∧⫏≰-22202211120=⫏≰100012210222","layer":1},{"info":"⫛⫱⨽⫏≰10221222=⫏≰0","layer":3},{"info":"⫏≰1102222↙⫏≰11200121=⫏≰-112001210","layer":3},{"info":"⫏≰0⨪↰⇹⫏≰-112001210=⫏≰0","layer":2},{"info":"-⫏≰2220121=⫏≰-2220121","layer":3},{"info":"⫏≰10100221⋥≓≎⫏≰100120122=⫏≰120211120","layer":3},{"info":"⫏≰-2220121↺⫏≰120211120=⫏≰120211120","layer":2},{"info":"⫏≰0↺⫏≰120211120=⫏≰120211120","layer":1},{"info":"⫏≰100012210222⨸⪁⫏≰120211120=⫏≰201121022001","layer":0}]}
{"id":438,"expression_no_base_symbol":"(↩($1257$⊉≛↸$1651$))⪒($5786$⪘⫢$2205$⨵⪆$3284$∲⫓$1105$)⫡⨏(($2733$⊭∹↮)⨽(⪲⇎$1253$)≣⋋)","expression":"(↩(⫏≰1201120⊉≛↸⫏≰2021011))⪒(⫏≰21221022⪘⫢⫏≰10000200⨵⪆⫏≰11111122∲⫓⫏≰1111221)⫡⨏((⫏≰10202020⊭∹↮)⨽(⪲⇎⫏≰1201102)≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6043,"operation_count":11,"complexity_ratio":549.3636363636364,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1257,"base":3},"right_expr":{"type":"numeric_atoms","value":1651,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5786,"base":3},"right_expr":{"type":"numeric_atoms","value":2205,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3284,"base":3},"right_expr":{"type":"numeric_atoms","value":1105,"base":3}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2733,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1253,"base":3}}}}},"used_operators":["QMFrweE19q","f6k1SAg4EE","jLgFTUHLKL","DZ8iAZOCBD","2DQ55sFlQl","oacrs7FA3X","i8ToyICDmI","Tcnh7f0tEr","8HhzD0ZcuI","xNBdhnnwKq","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1257","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=1651, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2514","layer":3},{"info":"compute unary expreesion, input=2514, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-17332","layer":2},{"info":"number node, value=5786","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=5786, right_input=2205, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11448","layer":3},{"info":"number node, value=3284","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=3284, right_input=1105, 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=11448, 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=-17332, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=17172","layer":1},{"info":"number node, value=2733","layer":4},{"info":"compute unary expreesion, input=2733, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5466","layer":3},{"info":"number node, value=1253","layer":4},{"info":"compute unary expreesion, input=1253, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2506","layer":3},{"info":"compute binary expreesion, left_input=5466, right_input=2506, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-89637672","layer":2},{"info":"compute unary expreesion, input=-89637672, 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=17172, 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":3,"result_base":3,"text":"(↩(⫏≰1201120⊉≛↸⫏≰2021011))⪒(⫏≰21221022⪘⫢⫏≰10000200⨵⪆⫏≰11111122∲⫓⫏≰1111221)⫡⨏((⫏≰10202020⊭∹↮)⨽(⪲⇎⫏≰1201102)≣⋋)=NaN","reverse_text":"NaN=(↩(⫏≰1201120⊉≛↸⫏≰2021011))⪒(⫏≰21221022⪘⫢⫏≰10000200⨵⪆⫏≰11111122∲⫓⫏≰1111221)⫡⨏((⫏≰10202020⊭∹↮)⨽(⪲⇎⫏≰1201102)≣⋋)","cot":[{"info":"⫏≰1201120⊉≛↸⫏≰2021011=⫏≰10110010","layer":3},{"info":"↩⫏≰10110010=⫏≰-212202221","layer":2},{"info":"⫏≰21221022⪘⫢⫏≰10000200=⫏≰120201000","layer":3},{"info":"⫏≰11111122∲⫓⫏≰1111221=⫏≰0","layer":3},{"info":"⫏≰120201000⨵⪆⫏≰0=⫏≰12221","layer":2},{"info":"⫏≰-212202221⪒⫏≰12221=⫏≰212120000","layer":1},{"info":"⫏≰10202020⊭∹↮=⫏≰21111110","layer":3},{"info":"⪲⇎⫏≰1201102=⫏≰10102211","layer":3},{"info":"⫏≰21111110⨽⫏≰10102211=⫏≰-20020200001202210","layer":2},{"info":"⫏≰-20020200001202210≣⋋=NaN","layer":1},{"info":"⫏≰212120000⫡⨏NaN=NaN","layer":0}]}
{"id":439,"expression_no_base_symbol":"(⊥($4470$⋓$1878$⪄$3445$⋳⪒$1414$))⪠⩆⊳","expression":"(⊥(⫏≰20010120⋓⫏≰2120120⪄⫏≰11201121⋳⪒⫏≰1221101))⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":51,"operation_count":5,"complexity_ratio":10.2,"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":4470,"base":3},"right_expr":{"type":"numeric_atoms","value":1878,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3445,"base":3},"right_expr":{"type":"numeric_atoms","value":1414,"base":3}}}}},"used_operators":["JLbD19bQDL","Q3PJZHRvZv","SUmda5xLS4","T2fj7uvVaJ","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4470","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=4470, right_input=1878, op_id = T2fj7uvVaJ 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=3445","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=3445, right_input=1414, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5189","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5189, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-16845","layer":2},{"info":"compute unary expreesion, input=-16845, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘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":3,"result_base":3,"text":"(⊥(⫏≰20010120⋓⫏≰2120120⪄⫏≰11201121⋳⪒⫏≰1221101))⪠⩆⊳=NaN","reverse_text":"NaN=(⊥(⫏≰20010120⋓⫏≰2120120⪄⫏≰11201121⋳⪒⫏≰1221101))⪠⩆⊳","cot":[{"info":"⫏≰20010120⋓⫏≰2120120=⫏≰0","layer":3},{"info":"⫏≰11201121⋳⪒⫏≰1221101=⫏≰21010012","layer":3},{"info":"⫏≰0⪄⫏≰21010012=⫏≰-212002220","layer":2},{"info":"⊥⫏≰-212002220=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":440,"expression_no_base_symbol":"(⫛⫱⨽(⩦⩻⨪($3044$⫌⩹⨱)))⋷(+⊝⨔($1163$⩷∴$2790$⇼⇔∾($9362$⊉≛↸$3405$)))","expression":"(⫛⫱⨽(⩦⩻⨪(⫏≰11011202⫌⩹⨱)))⋷(+⊝⨔(⫏≰1121002⩷∴⫏≰10211100⇼⇔∾(⫏≰110211202⊉≛↸⫏≰11200010)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1484,"operation_count":8,"complexity_ratio":185.5,"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":3044,"base":3}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1163,"base":3},"right_expr":{"type":"numeric_atoms","value":2790,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":9362,"base":3},"right_expr":{"type":"numeric_atoms","value":3405,"base":3}}}}},"used_operators":["23Mk6UjR3U","DlLNRPXxWL","2td37pGCOC","EBcxylXtPf","DhbWaqg5eL","tifHPKVTfV","9FxExcQeMw","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3044","layer":4},{"info":"compute unary expreesion, input=3044, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7489","layer":3},{"info":"compute unary expreesion, input=7489, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7489","layer":2},{"info":"compute unary expreesion, input=7489, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1163","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=2790, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3286","layer":3},{"info":"number node, value=9362","layer":4},{"info":"number node, value=3405","layer":4},{"info":"compute binary expreesion, left_input=9362, right_input=3405, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=18724","layer":3},{"info":"compute binary expreesion, left_input=-3286, right_input=18724, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=22010","layer":2},{"info":"compute unary expreesion, input=22010, 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=0, right_input=1522, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⫛⫱⨽(⩦⩻⨪(⫏≰11011202⫌⩹⨱)))⋷(+⊝⨔(⫏≰1121002⩷∴⫏≰10211100⇼⇔∾(⫏≰110211202⊉≛↸⫏≰11200010)))=⫏≰0","reverse_text":"⫏≰0=(⫛⫱⨽(⩦⩻⨪(⫏≰11011202⫌⩹⨱)))⋷(+⊝⨔(⫏≰1121002⩷∴⫏≰10211100⇼⇔∾(⫏≰110211202⊉≛↸⫏≰11200010)))","cot":[{"info":"⫏≰11011202⫌⩹⨱=⫏≰101021101","layer":3},{"info":"⩦⩻⨪⫏≰101021101=⫏≰101021101","layer":2},{"info":"⫛⫱⨽⫏≰101021101=⫏≰0","layer":1},{"info":"⫏≰1121002⩷∴⫏≰10211100=⫏≰-11111201","layer":3},{"info":"⫏≰110211202⊉≛↸⫏≰11200010=⫏≰221200111","layer":3},{"info":"⫏≰-11111201⇼⇔∾⫏≰221200111=⫏≰1010012012","layer":2},{"info":"+⊝⨔⫏≰1010012012=⫏≰2002101","layer":1},{"info":"⫏≰0⋷⫏≰2002101=⫏≰0","layer":0}]}
{"id":441,"expression_no_base_symbol":"((≤/$4601$⋝⋈⪟$6209$)⋳⪒(⨞⊢($7002$↛⩡⫤)))≎⊠⪸((⨑⩽⪐$2765$)⋥≓≎($1097$⨵⪆$3962$))⪢($2508$⨁⊸⫻)⨟⋌⩍($2196$⨸⪁$1387$)","expression":"((≤/⫏≰20022102⋝⋈⪟⫏≰22111222)⋳⪒(⨞⊢(⫏≰100121100↛⩡⫤)))≎⊠⪸((⨑⩽⪐⫏≰10210102)⋥≓≎(⫏≰1111122⨵⪆⫏≰12102202))⪢(⫏≰10102220⨁⊸⫻)⨟⋌⩍(⫏≰10000100⨸⪁⫏≰1220101)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21177,"operation_count":13,"complexity_ratio":1629.0,"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":4601,"base":3},"right_expr":{"type":"numeric_atoms","value":6209,"base":3}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7002,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2765,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1097,"base":3},"right_expr":{"type":"numeric_atoms","value":3962,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2508,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2196,"base":3},"right_expr":{"type":"numeric_atoms","value":1387,"base":3}}}}},"used_operators":["bJkvcejdHO","12rbrZMWeM","eLAdDNolq6","2DDjHMKMc0","xUOZtlo3hN","FU0Cs4j7VP","dWAJyo7jo9","Qy55tPpLXF","AF7qkfDlqP","2DQ55sFlQl","rGHVDoGpnC","glklzrTFfD","g55IO6H4Gj"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4601","layer":4},{"info":"number node, value=6209","layer":4},{"info":"compute binary expreesion, left_input=4601, right_input=6209, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4601","layer":3},{"info":"compute unary expreesion, input=4601, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4117","layer":2},{"info":"number node, value=7002","layer":4},{"info":"compute unary expreesion, input=7002, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1053391","layer":3},{"info":"compute unary expreesion, input=-1053391, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1053217","layer":2},{"info":"compute binary expreesion, left_input=-4117, right_input=1053217, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1061738","layer":1},{"info":"number node, value=2765","layer":4},{"info":"compute unary expreesion, input=2765, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2492","layer":3},{"info":"number node, value=1097","layer":4},{"info":"number node, value=3962","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=3962, 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=-2492, right_input=160, 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=2508","layer":4},{"info":"compute unary expreesion, input=2508, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2508","layer":3},{"info":"number node, value=2196","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=2196, right_input=1387, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7166","layer":3},{"info":"compute binary expreesion, left_input=2508, right_input=7166, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=67, 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=-1061738, 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":3,"result_base":3,"text":"((≤/⫏≰20022102⋝⋈⪟⫏≰22111222)⋳⪒(⨞⊢(⫏≰100121100↛⩡⫤)))≎⊠⪸((⨑⩽⪐⫏≰10210102)⋥≓≎(⫏≰1111122⨵⪆⫏≰12102202))⪢(⫏≰10102220⨁⊸⫻)⨟⋌⩍(⫏≰10000100⨸⪁⫏≰1220101)=⫏≰2111","reverse_text":"⫏≰2111=((≤/⫏≰20022102⋝⋈⪟⫏≰22111222)⋳⪒(⨞⊢(⫏≰100121100↛⩡⫤)))≎⊠⪸((⨑⩽⪐⫏≰10210102)⋥≓≎(⫏≰1111122⨵⪆⫏≰12102202))⪢(⫏≰10102220⨁⊸⫻)⨟⋌⩍(⫏≰10000100⨸⪁⫏≰1220101)","cot":[{"info":"⫏≰20022102⋝⋈⪟⫏≰22111222=⫏≰20022102","layer":3},{"info":"≤/⫏≰20022102=⫏≰-12122111","layer":2},{"info":"⫏≰100121100↛⩡⫤=⫏≰-1222111222111","layer":3},{"info":"⨞⊢⫏≰-1222111222111=⫏≰1222111202001","layer":2},{"info":"⫏≰-12122111⋳⪒⫏≰1222111202001=⫏≰-1222221102122","layer":1},{"info":"⨑⩽⪐⫏≰10210102=⫏≰-10102022","layer":3},{"info":"⫏≰1111122⨵⪆⫏≰12102202=⫏≰12221","layer":3},{"info":"⫏≰-10102022⋥≓≎⫏≰12221=⫏≰2111","layer":2},{"info":"⫏≰10102220⨁⊸⫻=⫏≰10102220","layer":3},{"info":"⫏≰10000100⨸⪁⫏≰1220101=⫏≰100211102","layer":3},{"info":"⫏≰10102220⨟⋌⩍⫏≰100211102=NaN","layer":2},{"info":"⫏≰2111⪢NaN=NaN","layer":1},{"info":"⫏≰-1222221102122≎⊠⪸NaN=⫏≰2111","layer":0}]}
{"id":442,"expression_no_base_symbol":"(($1237$⨽$3267$)⊴(⊙↵-$6337$)⊉≛↸($2816$⪐)⨎(⩦⩻⨪$4888$))⫸⊐((⫛⫱⨽$2785$)⪒(⊙↵-$1283$)⫡⨏(∂(⊥$7017$)))","expression":"((⫏≰1200211⨽⫏≰11111000)⊴(⊙↵-⫏≰22200201)⊉≛↸(⫏≰10212022⪐)⨎(⩦⩻⨪⫏≰20201001))⫸⊐((⫛⫱⨽⫏≰10211011)⪒(⊙↵-⫏≰1202112)⫡⨏(∂(⊥⫏≰100121220)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4609406,"operation_count":14,"complexity_ratio":329243.28571428574,"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":1237,"base":3},"right_expr":{"type":"numeric_atoms","value":3267,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":6337,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2816,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4888,"base":3}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2785,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1283,"base":3}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7017,"base":3}}}}},"used_operators":["mqXw5SEYmG","DZ8iAZOCBD","Nsiff2A1zJ","8HhzD0ZcuI","oWn0xqSxBt","rJVOvQCfKK","eH2TOUuTDT","2td37pGCOC","QMFrweE19q","f6k1SAg4EE","DlLNRPXxWL","Uaa54Peajs","Q3PJZHRvZv"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","fu6greOZ01"],"result":"⫏≰1022212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1237","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=3267, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4598994","layer":3},{"info":"number node, value=6337","layer":4},{"info":"compute unary expreesion, input=6337, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-4598994, right_input=-1, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=2816","layer":4},{"info":"compute unary expreesion, input=2816, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5632","layer":3},{"info":"number node, value=4888","layer":4},{"info":"compute unary expreesion, input=4888, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4888","layer":3},{"info":"compute binary expreesion, left_input=5632, right_input=4888, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4888","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=4888, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-4888","layer":1},{"info":"number node, value=2785","layer":4},{"info":"compute unary expreesion, input=2785, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1283","layer":4},{"info":"compute unary expreesion, input=1283, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1","layer":2},{"info":"number node, value=7017","layer":4},{"info":"compute unary expreesion, input=7017, 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=1, 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=-4888, 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":3,"result_base":3,"text":"((⫏≰1200211⨽⫏≰11111000)⊴(⊙↵-⫏≰22200201)⊉≛↸(⫏≰10212022⪐)⨎(⩦⩻⨪⫏≰20201001))⫸⊐((⫛⫱⨽⫏≰10211011)⪒(⊙↵-⫏≰1202112)⫡⨏(∂(⊥⫏≰100121220)))=⫏≰1022212","reverse_text":"⫏≰1022212=((⫏≰1200211⨽⫏≰11111000)⊴(⊙↵-⫏≰22200201)⊉≛↸(⫏≰10212022⪐)⨎(⩦⩻⨪⫏≰20201001))⫸⊐((⫛⫱⨽⫏≰10211011)⪒(⊙↵-⫏≰1202112)⫡⨏(∂(⊥⫏≰100121220)))","cot":[{"info":"⫏≰1200211⨽⫏≰11111000=⫏≰-22122122122010","layer":3},{"info":"⊙↵-⫏≰22200201=⫏≰-1","layer":3},{"info":"⫏≰-22122122122010⊴⫏≰-1=⫏≰-2221","layer":2},{"info":"⫏≰10212022⪐=⫏≰21201121","layer":3},{"info":"⩦⩻⨪⫏≰20201001=⫏≰20201001","layer":3},{"info":"⫏≰21201121⨎⫏≰20201001=⫏≰20201001","layer":2},{"info":"⫏≰-2221⊉≛↸⫏≰20201001=⫏≰-20201001","layer":1},{"info":"⫛⫱⨽⫏≰10211011=⫏≰0","layer":3},{"info":"⊙↵-⫏≰1202112=⫏≰-1","layer":3},{"info":"⫏≰0⪒⫏≰-1=⫏≰1","layer":2},{"info":"⊥⫏≰100121220=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⫏≰1⫡⨏NaN=NaN","layer":1},{"info":"⫏≰-20201001⫸⊐NaN=⫏≰1022212","layer":0}]}
{"id":443,"expression_no_base_symbol":"(($6442$%$3850$)⨪↰⇹($1188$⋝⋈⪟$2754$))⪮%⊝($2245$⩨$1208$)≹⇙⪍($1588$⪨≂$7551$)∑⇟⊟((⋗⩬⋾$3620$)⨸⪁$3648$∀⇚≩$2132$⪒(⨈⫕$2739$⨪↰⇹$3604$))","expression":"((⫏≰22211121%⫏≰12021121)⨪↰⇹(⫏≰1122000⋝⋈⪟⫏≰10210000))⪮%⊝(⫏≰10002011⩨⫏≰1122202)≹⇙⪍(⫏≰2011211⪨≂⫏≰101100200)∑⇟⊟((⋗⩬⋾⫏≰11222002)⨸⪁⫏≰12000010∀⇚≩⫏≰2220222⪒(⨈⫕⫏≰10202110⨪↰⇹⫏≰11221111))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31286,"operation_count":14,"complexity_ratio":2234.714285714286,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6442,"base":3},"right_expr":{"type":"numeric_atoms","value":3850,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1188,"base":3},"right_expr":{"type":"numeric_atoms","value":2754,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2245,"base":3},"right_expr":{"type":"numeric_atoms","value":1208,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1588,"base":3},"right_expr":{"type":"numeric_atoms","value":7551,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3620,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3648,"base":3},"right_expr":{"type":"numeric_atoms","value":2132,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2739,"base":3},"right_expr":{"type":"numeric_atoms","value":3604,"base":3}}}}},"used_operators":["U7g4x0WXJJ","IWmyXbctLI","tmPS8pqC7x","k8jYdgA6NY","2DDjHMKMc0","AHs5Up7iyr","2DlMacCsIx","sdazOOVcIp","f6k1SAg4EE","g55IO6H4Gj","DpFCA1CohY","LRNGc0VcxI","megm06wKyl"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6442","layer":4},{"info":"number node, value=3850","layer":4},{"info":"compute binary expreesion, left_input=6442, right_input=3850, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2592","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=2754","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=2754, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1188","layer":3},{"info":"compute binary expreesion, left_input=2592, right_input=1188, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2592","layer":2},{"info":"number node, value=2245","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=1208, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1588","layer":4},{"info":"number node, value=7551","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=7551, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-11824","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-11824, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2592, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=3620","layer":4},{"info":"compute unary expreesion, input=3620, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10860","layer":3},{"info":"number node, value=3648","layer":4},{"info":"number node, value=2132","layer":4},{"info":"compute binary expreesion, left_input=3648, right_input=2132, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-10860, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=2739","layer":4},{"info":"number node, value=3604","layer":4},{"info":"compute binary expreesion, left_input=2739, right_input=3604, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2739","layer":3},{"info":"compute unary expreesion, input=2739, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', 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":3,"result_base":3,"text":"((⫏≰22211121%⫏≰12021121)⨪↰⇹(⫏≰1122000⋝⋈⪟⫏≰10210000))⪮%⊝(⫏≰10002011⩨⫏≰1122202)≹⇙⪍(⫏≰2011211⪨≂⫏≰101100200)∑⇟⊟((⋗⩬⋾⫏≰11222002)⨸⪁⫏≰12000010∀⇚≩⫏≰2220222⪒(⨈⫕⫏≰10202110⨪↰⇹⫏≰11221111))=NaN","reverse_text":"NaN=((⫏≰22211121%⫏≰12021121)⨪↰⇹(⫏≰1122000⋝⋈⪟⫏≰10210000))⪮%⊝(⫏≰10002011⩨⫏≰1122202)≹⇙⪍(⫏≰2011211⪨≂⫏≰101100200)∑⇟⊟((⋗⩬⋾⫏≰11222002)⨸⪁⫏≰12000010∀⇚≩⫏≰2220222⪒(⨈⫕⫏≰10202110⨪↰⇹⫏≰11221111))","cot":[{"info":"⫏≰22211121%⫏≰12021121=⫏≰10120000","layer":3},{"info":"⫏≰1122000⋝⋈⪟⫏≰10210000=⫏≰1122000","layer":3},{"info":"⫏≰10120000⨪↰⇹⫏≰1122000=⫏≰10120000","layer":2},{"info":"⫏≰10002011⩨⫏≰1122202=⫏≰0","layer":3},{"info":"⫏≰2011211⪨≂⫏≰101100200=⫏≰-121012221","layer":3},{"info":"⫏≰0≹⇙⪍⫏≰-121012221=NaN","layer":2},{"info":"⫏≰10120000⪮%⊝NaN=NaN","layer":1},{"info":"⋗⩬⋾⫏≰11222002=⫏≰-112220020","layer":3},{"info":"⫏≰12000010∀⇚≩⫏≰2220222=NaN","layer":3},{"info":"⫏≰-112220020⨸⪁NaN=NaN","layer":2},{"info":"⫏≰10202110⨪↰⇹⫏≰11221111=⫏≰10202110","layer":3},{"info":"⨈⫕⫏≰10202110=⫏≰-210","layer":2},{"info":"NaN⪒⫏≰-210=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":444,"expression_no_base_symbol":"⫓⪴((↩$6128$⩚⊴⇥$5529$)⫸⊐(($1486$⨁⊸⫻)+$4132$⩨$1080$))","expression":"⫓⪴((↩⫏≰22101222⩚⊴⇥⫏≰21120210)⫸⊐((⫏≰2001001⨁⊸⫻)+⫏≰12200001⩨⫏≰1111000))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5872,"operation_count":7,"complexity_ratio":838.8571428571429,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6128,"base":3},"right_expr":{"type":"numeric_atoms","value":5529,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1486,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4132,"base":3},"right_expr":{"type":"numeric_atoms","value":1080,"base":3}}}}},"used_operators":["eLxqMNBOBk","mqXw5SEYmG","jLgFTUHLKL","NTOWxs364D","W4YGzv6Whe","glklzrTFfD","2DlMacCsIx"],"dependent_operators":["9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫏≰2100201022020021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6128","layer":4},{"info":"number node, value=5529","layer":4},{"info":"compute binary expreesion, left_input=6128, right_input=5529, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11778","layer":3},{"info":"compute unary expreesion, input=-11778, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=49732","layer":2},{"info":"number node, value=1486","layer":4},{"info":"compute unary expreesion, input=1486, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1486","layer":3},{"info":"number node, value=4132","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=4132, right_input=1080, 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=1486, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1486","layer":2},{"info":"compute binary expreesion, left_input=49732, right_input=1486, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5819","layer":1},{"info":"compute unary expreesion, input=5819, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=33860761","layer":0}],"base":3,"result_base":3,"text":"⫓⪴((↩⫏≰22101222⩚⊴⇥⫏≰21120210)⫸⊐((⫏≰2001001⨁⊸⫻)+⫏≰12200001⩨⫏≰1111000))=⫏≰2100201022020021","reverse_text":"⫏≰2100201022020021=⫓⪴((↩⫏≰22101222⩚⊴⇥⫏≰21120210)⫸⊐((⫏≰2001001⨁⊸⫻)+⫏≰12200001⩨⫏≰1111000))","cot":[{"info":"⫏≰22101222⩚⊴⇥⫏≰21120210=⫏≰-121011020","layer":3},{"info":"↩⫏≰-121011020=⫏≰2112012221","layer":2},{"info":"⫏≰2001001⨁⊸⫻=⫏≰2001001","layer":3},{"info":"⫏≰12200001⩨⫏≰1111000=⫏≰0","layer":3},{"info":"⫏≰2001001+⫏≰0=⫏≰2001001","layer":2},{"info":"⫏≰2112012221⫸⊐⫏≰2001001=⫏≰21222112","layer":1},{"info":"⫓⪴⫏≰21222112=⫏≰2100201022020021","layer":0}]}
{"id":445,"expression_no_base_symbol":"↩((($5513$⊠≄⫣)/$2238$⪄$3778$)≫≃)","expression":"↩(((⫏≰21120012⊠≄⫣)/⫏≰10001220⪄⫏≰12011221)≫≃)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":122,"operation_count":5,"complexity_ratio":24.4,"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":5513,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2238,"base":3},"right_expr":{"type":"numeric_atoms","value":3778,"base":3}}}}},"used_operators":["jLgFTUHLKL","X99M06cbEe","XhwjNDsVaA","DIvbN7qnHd","SUmda5xLS4"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫏≰-102120011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5513","layer":4},{"info":"compute unary expreesion, input=5513, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2238","layer":4},{"info":"number node, value=3778","layer":4},{"info":"compute binary expreesion, left_input=2238, right_input=3778, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-342425","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-342425, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"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":1},{"info":"compute unary expreesion, input=1401, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8428","layer":0}],"base":3,"result_base":3,"text":"↩(((⫏≰21120012⊠≄⫣)/⫏≰10001220⪄⫏≰12011221)≫≃)=⫏≰-102120011","reverse_text":"⫏≰-102120011=↩(((⫏≰21120012⊠≄⫣)/⫏≰10001220⪄⫏≰12011221)≫≃)","cot":[{"info":"⫏≰21120012⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰10001220⪄⫏≰12011221=⫏≰-122101201102","layer":3},{"info":"⫏≰0/⫏≰-122101201102=⫏≰0","layer":2},{"info":"⫏≰0≫≃=⫏≰1220220","layer":1},{"info":"↩⫏≰1220220=⫏≰-102120011","layer":0}]}
{"id":446,"expression_no_base_symbol":"(≦∁$5689$*$1503$)≎⊠⪸($1811$⋝⋈⪟$4152$)∼($2339$+⇶⊼$5233$)⩚⊴⇥(($9335$/$1166$)⨁⊸⫻)⋝⋈⪟($4986$⪮%⊝$2913$⪨≂$1805$⫥∨⫟$1847$)","expression":"(≦∁⫏≰21210201*⫏≰2001200)≎⊠⪸(⫏≰2111002⋝⋈⪟⫏≰12200210)∼(⫏≰10012122+⇶⊼⫏≰21011211)⩚⊴⇥((⫏≰110210202/⫏≰1121012)⨁⊸⫻)⋝⋈⪟(⫏≰20211200⪮%⊝⫏≰10222220⪨≂⫏≰2110212⫥∨⫟⫏≰2112102)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1741,"operation_count":13,"complexity_ratio":133.92307692307693,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5689,"base":3},"right_expr":{"type":"numeric_atoms","value":1503,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1811,"base":3},"right_expr":{"type":"numeric_atoms","value":4152,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2339,"base":3},"right_expr":{"type":"numeric_atoms","value":5233,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":9335,"base":3},"right_expr":{"type":"numeric_atoms","value":1166,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4986,"base":3},"right_expr":{"type":"numeric_atoms","value":2913,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1805,"base":3},"right_expr":{"type":"numeric_atoms","value":1847,"base":3}}}}},"used_operators":["NTOWxs364D","bJkvcejdHO","9ICcGScMcE","9HNa5Wba9A","DyGG3AbaNP","2DDjHMKMc0","TpPTUOHfaN","glklzrTFfD","XhwjNDsVaA","sdazOOVcIp","IWmyXbctLI","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5689","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=5689, right_input=1503, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8550567","layer":3},{"info":"compute unary expreesion, input=8550567, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8550567","layer":2},{"info":"number node, value=1811","layer":4},{"info":"number node, value=4152","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=4152, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1811","layer":3},{"info":"number node, value=2339","layer":4},{"info":"number node, value=5233","layer":4},{"info":"compute binary expreesion, left_input=2339, right_input=5233, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1811, 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=8550567, 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=9335","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=9335, right_input=1166, op_id = XhwjNDsVaA binary_op_definition= 'None', output=8","layer":3},{"info":"compute unary expreesion, input=8, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=16","layer":2},{"info":"number node, value=4986","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=4986, right_input=2913, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10288","layer":3},{"info":"number node, value=1805","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=1847, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10288, 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=16, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≦∁⫏≰21210201*⫏≰2001200)≎⊠⪸(⫏≰2111002⋝⋈⪟⫏≰12200210)∼(⫏≰10012122+⇶⊼⫏≰21011211)⩚⊴⇥((⫏≰110210202/⫏≰1121012)⨁⊸⫻)⋝⋈⪟(⫏≰20211200⪮%⊝⫏≰10222220⪨≂⫏≰2110212⫥∨⫟⫏≰2112102)=NaN","reverse_text":"NaN=(≦∁⫏≰21210201*⫏≰2001200)≎⊠⪸(⫏≰2111002⋝⋈⪟⫏≰12200210)∼(⫏≰10012122+⇶⊼⫏≰21011211)⩚⊴⇥((⫏≰110210202/⫏≰1121012)⨁⊸⫻)⋝⋈⪟(⫏≰20211200⪮%⊝⫏≰10222220⪨≂⫏≰2110212⫥∨⫟⫏≰2112102)","cot":[{"info":"⫏≰21210201*⫏≰2001200=⫏≰121002102011200","layer":3},{"info":"≦∁⫏≰121002102011200=⫏≰121002102011200","layer":2},{"info":"⫏≰2111002⋝⋈⪟⫏≰12200210=⫏≰2111002","layer":3},{"info":"⫏≰10012122+⇶⊼⫏≰21011211=NaN","layer":3},{"info":"⫏≰2111002∼NaN=NaN","layer":2},{"info":"⫏≰121002102011200≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"⫏≰110210202/⫏≰1121012=⫏≰22","layer":3},{"info":"⫏≰22⨁⊸⫻=⫏≰121","layer":2},{"info":"⫏≰20211200⪮%⊝⫏≰10222220=⫏≰112010001","layer":3},{"info":"⫏≰2110212⫥∨⫟⫏≰2112102=NaN","layer":3},{"info":"⫏≰112010001⪨≂NaN=NaN","layer":2},{"info":"⫏≰121⋝⋈⪟NaN=NaN","layer":1},{"info":"⫏≰2111⩚⊴⇥NaN=NaN","layer":0}]}
{"id":447,"expression_no_base_symbol":"((⪲⇎$3497$)⪒(⪲⇎$1002$))⋳⪒(($5209$≫≃)⫸⊐(⪲⇎$1438$))⩨(($6597$∲⫓$1038$)⪛($2728$↬$1911$)⊉≛↸($1167$⋷$3673$)⋓($3628$⫡⨏$1064$))","expression":"((⪲⇎⫏≰11210112)⪒(⪲⇎⫏≰1101010))⋳⪒((⫏≰21010221≫≃)⫸⊐(⪲⇎⫏≰1222021))⩨((⫏≰100001100∲⫓⫏≰1102110)⪛(⫏≰10202001↬⫏≰2121210)⊉≛↸(⫏≰1121020⋷⫏≰12001001)⋓(⫏≰11222101⫡⨏⫏≰1110102))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":83,"operation_count":15,"complexity_ratio":5.533333333333333,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3497,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1002,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5209,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1438,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6597,"base":3},"right_expr":{"type":"numeric_atoms","value":1038,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2728,"base":3},"right_expr":{"type":"numeric_atoms","value":1911,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1167,"base":3},"right_expr":{"type":"numeric_atoms","value":3673,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3628,"base":3},"right_expr":{"type":"numeric_atoms","value":1064,"base":3}}}}},"used_operators":["2DlMacCsIx","12rbrZMWeM","f6k1SAg4EE","XPYlsWDdGa","mqXw5SEYmG","X99M06cbEe","DZ8iAZOCBD","uFcxV4UQCh","i8ToyICDmI","B5M0gjZbta","T2fj7uvVaJ","23Mk6UjR3U","QMFrweE19q"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3497","layer":4},{"info":"compute unary expreesion, input=3497, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6994","layer":3},{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2004","layer":3},{"info":"compute binary expreesion, left_input=6994, right_input=2004, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8998","layer":2},{"info":"number node, value=5209","layer":4},{"info":"compute unary expreesion, input=5209, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11819","layer":3},{"info":"number node, value=1438","layer":4},{"info":"compute unary expreesion, input=1438, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2876","layer":3},{"info":"compute binary expreesion, left_input=11819, right_input=2876, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11379","layer":2},{"info":"compute binary expreesion, left_input=-8998, right_input=11379, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-29662","layer":1},{"info":"number node, value=6597","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=6597, right_input=1038, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2728","layer":4},{"info":"number node, value=1911","layer":4},{"info":"compute binary expreesion, left_input=2728, right_input=1911, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=1167","layer":4},{"info":"number node, value=3673","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=3673, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6179","layer":3},{"info":"number node, value=3628","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=3628, right_input=1064, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21051","layer":3},{"info":"compute binary expreesion, left_input=6179, right_input=21051, op_id = T2fj7uvVaJ 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 = 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=-29662, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⪲⇎⫏≰11210112)⪒(⪲⇎⫏≰1101010))⋳⪒((⫏≰21010221≫≃)⫸⊐(⪲⇎⫏≰1222021))⩨((⫏≰100001100∲⫓⫏≰1102110)⪛(⫏≰10202001↬⫏≰2121210)⊉≛↸(⫏≰1121020⋷⫏≰12001001)⋓(⫏≰11222101⫡⨏⫏≰1110102))=NaN","reverse_text":"NaN=((⪲⇎⫏≰11210112)⪒(⪲⇎⫏≰1101010))⋳⪒((⫏≰21010221≫≃)⫸⊐(⪲⇎⫏≰1222021))⩨((⫏≰100001100∲⫓⫏≰1102110)⪛(⫏≰10202001↬⫏≰2121210)⊉≛↸(⫏≰1121020⋷⫏≰12001001)⋓(⫏≰11222101⫡⨏⫏≰1110102))","cot":[{"info":"⪲⇎⫏≰11210112=⫏≰100121001","layer":3},{"info":"⪲⇎⫏≰1101010=⫏≰2202020","layer":3},{"info":"⫏≰100121001⪒⫏≰2202020=⫏≰-110100021","layer":2},{"info":"⫏≰21010221≫≃=⫏≰121012202","layer":3},{"info":"⪲⇎⫏≰1222021=⫏≰10221112","layer":3},{"info":"⫏≰121012202⫸⊐⫏≰10221112=⫏≰120121110","layer":2},{"info":"⫏≰-110100021⋳⪒⫏≰120121110=⫏≰-1111200121","layer":1},{"info":"⫏≰100001100∲⫓⫏≰1102110=⫏≰0","layer":3},{"info":"⫏≰10202001↬⫏≰2121210=NaN","layer":3},{"info":"⫏≰0⪛NaN=NaN","layer":2},{"info":"⫏≰1121020⋷⫏≰12001001=⫏≰22110212","layer":3},{"info":"⫏≰11222101⫡⨏⫏≰1110102=⫏≰1001212200","layer":3},{"info":"⫏≰22110212⋓⫏≰1001212200=⫏≰0","layer":2},{"info":"NaN⊉≛↸⫏≰0=NaN","layer":1},{"info":"⫏≰-1111200121⩨NaN=NaN","layer":0}]}
{"id":448,"expression_no_base_symbol":"(↥((↯⪼$2051$)⊦⊿))⩨($2415$⨰$1780$)≹⇙⪍($2066$-$2407$)⨽(⊙↵-($1104$∲⫓$3471$))","expression":"(↥((↯⪼⫏≰2210222)⊦⊿))⩨(⫏≰10022110⨰⫏≰2102221)≹⇙⪍(⫏≰2211112-⫏≰10022011)⨽(⊙↵-(⫏≰1111220∲⫓⫏≰11202120))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":116892,"operation_count":10,"complexity_ratio":11689.2,"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":2051,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2415,"base":3},"right_expr":{"type":"numeric_atoms","value":1780,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2066,"base":3},"right_expr":{"type":"numeric_atoms","value":2407,"base":3}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1104,"base":3},"right_expr":{"type":"numeric_atoms","value":3471,"base":3}}}}},"used_operators":["2DlMacCsIx","A8NUZmVepG","14qkJME0vr","8jW3W4yZS5","8HhzD0ZcuI","AHs5Up7iyr","eewbuw0ToL","rysDP5nf3Z","oWn0xqSxBt","i8ToyICDmI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2051","layer":4},{"info":"compute unary expreesion, input=2051, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-16","layer":2},{"info":"compute unary expreesion, input=-16, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=35","layer":1},{"info":"number node, value=2415","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=1780, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=645","layer":3},{"info":"number node, value=2066","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=2407, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-341","layer":3},{"info":"compute binary expreesion, left_input=645, right_input=-341, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1104","layer":4},{"info":"number node, value=3471","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=3471, 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 binary expreesion, left_input=nan, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=35, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↥((↯⪼⫏≰2210222)⊦⊿))⩨(⫏≰10022110⨰⫏≰2102221)≹⇙⪍(⫏≰2211112-⫏≰10022011)⨽(⊙↵-(⫏≰1111220∲⫓⫏≰11202120))=NaN","reverse_text":"NaN=(↥((↯⪼⫏≰2210222)⊦⊿))⩨(⫏≰10022110⨰⫏≰2102221)≹⇙⪍(⫏≰2211112-⫏≰10022011)⨽(⊙↵-(⫏≰1111220∲⫓⫏≰11202120))","cot":[{"info":"↯⪼⫏≰2210222=⫏≰-210","layer":3},{"info":"⫏≰-210⊦⊿=⫏≰-121","layer":2},{"info":"↥⫏≰-121=⫏≰1022","layer":1},{"info":"⫏≰10022110⨰⫏≰2102221=⫏≰212220","layer":3},{"info":"⫏≰2211112-⫏≰10022011=⫏≰-110122","layer":3},{"info":"⫏≰212220≹⇙⪍⫏≰-110122=NaN","layer":2},{"info":"⫏≰1111220∲⫓⫏≰11202120=⫏≰0","layer":3},{"info":"⊙↵-⫏≰0=⫏≰0","layer":2},{"info":"NaN⨽⫏≰0=NaN","layer":1},{"info":"⫏≰1022⩨NaN=NaN","layer":0}]}
{"id":449,"expression_no_base_symbol":"(↯⪼(($6243$⨽$2630$)∀⇚≩($2030$⫡⨏$1307$)))%($1522$/$1559$+$1009$⨳⩥⨓$1002$)⊭↱($1790$⪘⫢$1633$)∼$1937$⨟⋌⩍$1742$","expression":"(↯⪼((⫏≰22120020⨽⫏≰10121102)∀⇚≩(⫏≰2210012⫡⨏⫏≰1210102)))%(⫏≰2002101/⫏≰2010202+⫏≰1101101⨳⩥⨓⫏≰1101010)⊭↱(⫏≰2110022⪘⫢⫏≰2020111)∼⫏≰2122202⨟⋌⩍⫏≰2101112","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6388,"operation_count":12,"complexity_ratio":532.3333333333334,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6243,"base":3},"right_expr":{"type":"numeric_atoms","value":2630,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2030,"base":3},"right_expr":{"type":"numeric_atoms","value":1307,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1522,"base":3},"right_expr":{"type":"numeric_atoms","value":1559,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1009,"base":3},"right_expr":{"type":"numeric_atoms","value":1002,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1790,"base":3},"right_expr":{"type":"numeric_atoms","value":1633,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1937,"base":3},"right_expr":{"type":"numeric_atoms","value":1742,"base":3}}}}},"used_operators":["k8jYdgA6NY","8jW3W4yZS5","LRNGc0VcxI","8HhzD0ZcuI","QMFrweE19q","COABgblf1C","W4YGzv6Whe","XhwjNDsVaA","nCS4ZIUYfx","DyGG3AbaNP","oacrs7FA3X","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6243","layer":4},{"info":"number node, value=2630","layer":4},{"info":"compute binary expreesion, left_input=6243, right_input=2630, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-116931723","layer":3},{"info":"number node, value=2030","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=2030, right_input=1307, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13547","layer":3},{"info":"compute binary expreesion, left_input=-116931723, right_input=13547, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1522","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=1559, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1002, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-7","layer":2},{"info":"number node, value=1790","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=1633, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3456","layer":3},{"info":"number node, value=1937","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=1742, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=3456, 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=-7, 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=-21, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↯⪼((⫏≰22120020⨽⫏≰10121102)∀⇚≩(⫏≰2210012⫡⨏⫏≰1210102)))%(⫏≰2002101/⫏≰2010202+⫏≰1101101⨳⩥⨓⫏≰1101010)⊭↱(⫏≰2110022⪘⫢⫏≰2020111)∼⫏≰2122202⨟⋌⩍⫏≰2101112=NaN","reverse_text":"NaN=(↯⪼((⫏≰22120020⨽⫏≰10121102)∀⇚≩(⫏≰2210012⫡⨏⫏≰1210102)))%(⫏≰2002101/⫏≰2010202+⫏≰1101101⨳⩥⨓⫏≰1101010)⊭↱(⫏≰2110022⪘⫢⫏≰2020111)∼⫏≰2122202⨟⋌⩍⫏≰2101112","cot":[{"info":"⫏≰22120020⨽⫏≰10121102=⫏≰-22011000202011120","layer":3},{"info":"⫏≰2210012⫡⨏⫏≰1210102=⫏≰200120202","layer":3},{"info":"⫏≰-22011000202011120∀⇚≩⫏≰200120202=NaN","layer":2},{"info":"↯⪼NaN=⫏≰-210","layer":1},{"info":"⫏≰2002101/⫏≰2010202=⫏≰0","layer":3},{"info":"⫏≰1101101⨳⩥⨓⫏≰1101010=⫏≰-21","layer":3},{"info":"⫏≰0+⫏≰-21=⫏≰-21","layer":2},{"info":"⫏≰2110022⪘⫢⫏≰2020111=⫏≰11202000","layer":3},{"info":"⫏≰2122202⨟⋌⩍⫏≰2101112=NaN","layer":3},{"info":"⫏≰11202000∼NaN=NaN","layer":2},{"info":"⫏≰-21⊭↱NaN=NaN","layer":1},{"info":"⫏≰-210%NaN=NaN","layer":0}]}
{"id":450,"expression_no_base_symbol":"(((↩$7431$)⫥∨⫟(⋗⩬⋾$3479$))⨰(⇁⨣⪵($8911$-$1482$)))≹⇙⪍((↯⪼$1098$)⨰$2314$⊴$5243$↙$3154$⪛$6746$⇷($1819$⫥∨⫟$5760$))","expression":"(((↩⫏≰101012020)⫥∨⫟(⋗⩬⋾⫏≰11202212))⨰(⇁⨣⪵(⫏≰110020001-⫏≰2000220)))≹⇙⪍((↯⪼⫏≰1111200)⨰⫏≰10011201⊴⫏≰21012012↙⫏≰11022211⪛⫏≰100020212⇷(⫏≰2111101⫥∨⫟⫏≰21220100))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":49789,"operation_count":14,"complexity_ratio":3556.3571428571427,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":7431,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3479,"base":3}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":8911,"base":3},"right_expr":{"type":"numeric_atoms","value":1482,"base":3}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1098,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2314,"base":3},"right_expr":{"type":"numeric_atoms","value":5243,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3154,"base":3},"right_expr":{"type":"numeric_atoms","value":6746,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1819,"base":3},"right_expr":{"type":"numeric_atoms","value":5760,"base":3}}}}},"used_operators":["AHs5Up7iyr","eewbuw0ToL","KYD54nUTWz","jLgFTUHLKL","DpFCA1CohY","inkyxCbjAn","rysDP5nf3Z","yyfyN0ffXY","8jW3W4yZS5","Nsiff2A1zJ","mp7IySMOzn","uFcxV4UQCh"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7431","layer":4},{"info":"compute unary expreesion, input=7431, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-56668","layer":3},{"info":"number node, value=3479","layer":4},{"info":"compute unary expreesion, input=3479, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10437","layer":3},{"info":"compute binary expreesion, left_input=-56668, right_input=-10437, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=8911","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=8911, right_input=1482, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7429","layer":3},{"info":"compute unary expreesion, input=7429, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, 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=2314","layer":4},{"info":"number node, value=5243","layer":4},{"info":"compute binary expreesion, left_input=2314, right_input=5243, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=3154","layer":4},{"info":"number node, value=6746","layer":4},{"info":"compute binary expreesion, left_input=3154, right_input=6746, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3154","layer":3},{"info":"number node, value=1819","layer":4},{"info":"number node, value=5760","layer":4},{"info":"compute binary expreesion, left_input=1819, right_input=5760, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3154, 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=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"(((↩⫏≰101012020)⫥∨⫟(⋗⩬⋾⫏≰11202212))⨰(⇁⨣⪵(⫏≰110020001-⫏≰2000220)))≹⇙⪍((↯⪼⫏≰1111200)⨰⫏≰10011201⊴⫏≰21012012↙⫏≰11022211⪛⫏≰100020212⇷(⫏≰2111101⫥∨⫟⫏≰21220100))=NaN","reverse_text":"NaN=(((↩⫏≰101012020)⫥∨⫟(⋗⩬⋾⫏≰11202212))⨰(⇁⨣⪵(⫏≰110020001-⫏≰2000220)))≹⇙⪍((↯⪼⫏≰1111200)⨰⫏≰10011201⊴⫏≰21012012↙⫏≰11022211⪛⫏≰100020212⇷(⫏≰2111101⫥∨⫟⫏≰21220100))","cot":[{"info":"↩⫏≰101012020=⫏≰-2212201211","layer":3},{"info":"⋗⩬⋾⫏≰11202212=⫏≰-112022120","layer":3},{"info":"⫏≰-2212201211⫥∨⫟⫏≰-112022120=NaN","layer":2},{"info":"⫏≰110020001-⫏≰2000220=⫏≰101012011","layer":3},{"info":"⇁⨣⪵⫏≰101012011=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"↯⪼⫏≰1111200=⫏≰-210","layer":3},{"info":"⫏≰10011201⊴⫏≰21012012=NaN","layer":3},{"info":"⫏≰-210⨰NaN=NaN","layer":2},{"info":"⫏≰11022211⪛⫏≰100020212=⫏≰11022211","layer":3},{"info":"⫏≰2111101⫥∨⫟⫏≰21220100=NaN","layer":3},{"info":"⫏≰11022211⇷NaN=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":451,"expression_no_base_symbol":"((($2210$⋥≓≎$1856$)≭($4647$⫩⊇))∑⇟⊟($6354$≹⇙⪍$2028$≋⫹))↬((⇁⨣⪵$5445$)⪮%⊝($3735$⇷$3336$)⊉≛↸(⨞⊢($4601$⪨≂$8136$)))","expression":"(((⫏≰10000212⋥≓≎⫏≰2112202)≭(⫏≰20101010⫩⊇))∑⇟⊟(⫏≰22201100≹⇙⪍⫏≰2210010≋⫹))↬((⇁⨣⪵⫏≰21110200)⪮%⊝(⫏≰12010100⇷⫏≰11120120)⊉≛↸(⨞⊢(⫏≰20022102⪨≂⫏≰102011100)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":52328,"operation_count":13,"complexity_ratio":4025.230769230769,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2210,"base":3},"right_expr":{"type":"numeric_atoms","value":1856,"base":3}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4647,"base":3}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6354,"base":3},"right_expr":{"type":"numeric_atoms","value":2028,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5445,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3735,"base":3},"right_expr":{"type":"numeric_atoms","value":3336,"base":3}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4601,"base":3},"right_expr":{"type":"numeric_atoms","value":8136,"base":3}}}}},"used_operators":["B5M0gjZbta","U7g4x0WXJJ","rxpJgHHUmx","Qy55tPpLXF","BjRHVeLaeN","N41Kp7NANJ","AHs5Up7iyr","DZ8iAZOCBD","IWmyXbctLI","inkyxCbjAn","mp7IySMOzn","xUOZtlo3hN","sdazOOVcIp"],"dependent_operators":["rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2210","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=2210, right_input=1856, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1535","layer":3},{"info":"number node, value=4647","layer":4},{"info":"compute unary expreesion, input=4647, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4605","layer":3},{"info":"compute binary expreesion, left_input=1535, right_input=-4605, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=6354","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=6354, right_input=2028, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=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=5445","layer":4},{"info":"compute unary expreesion, input=5445, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3735","layer":4},{"info":"number node, value=3336","layer":4},{"info":"compute binary expreesion, left_input=3735, right_input=3336, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6672","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6672, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=4601","layer":4},{"info":"number node, value=8136","layer":4},{"info":"compute binary expreesion, left_input=4601, right_input=8136, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6968","layer":3},{"info":"compute unary expreesion, input=-6968, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=6794","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6794, 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":3,"result_base":3,"text":"(((⫏≰10000212⋥≓≎⫏≰2112202)≭(⫏≰20101010⫩⊇))∑⇟⊟(⫏≰22201100≹⇙⪍⫏≰2210010≋⫹))↬((⇁⨣⪵⫏≰21110200)⪮%⊝(⫏≰12010100⇷⫏≰11120120)⊉≛↸(⨞⊢(⫏≰20022102⪨≂⫏≰102011100)))=NaN","reverse_text":"NaN=(((⫏≰10000212⋥≓≎⫏≰2112202)≭(⫏≰20101010⫩⊇))∑⇟⊟(⫏≰22201100≹⇙⪍⫏≰2210010≋⫹))↬((⇁⨣⪵⫏≰21110200)⪮%⊝(⫏≰12010100⇷⫏≰11120120)⊉≛↸(⨞⊢(⫏≰20022102⪨≂⫏≰102011100)))","cot":[{"info":"⫏≰10000212⋥≓≎⫏≰2112202=⫏≰2002212","layer":3},{"info":"⫏≰20101010⫩⊇=⫏≰-20022120","layer":3},{"info":"⫏≰2002212≭⫏≰-20022120=NaN","layer":2},{"info":"⫏≰22201100≹⇙⪍⫏≰2210010=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"⇁⨣⪵⫏≰21110200=NaN","layer":3},{"info":"⫏≰12010100⇷⫏≰11120120=⫏≰100011010","layer":3},{"info":"NaN⪮%⊝⫏≰100011010=NaN","layer":2},{"info":"⫏≰20022102⪨≂⫏≰102011100=⫏≰-100120002","layer":3},{"info":"⨞⊢⫏≰-100120002=⫏≰100022122","layer":2},{"info":"NaN⊉≛↸⫏≰100022122=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":452,"expression_no_base_symbol":"((↔($2381$⋳⪒$2372$))+⇶⊼(⊥($2752$⊦⊿)))⨰((($2401$⊠≄⫣)+($3716$⫌⩹⨱))≭((↯⪼$2830$)↺(⨞⊢$2369$)))","expression":"((↔(⫏≰10021012⋳⪒⫏≰10020212))+⇶⊼(⊥(⫏≰10202221⊦⊿)))⨰(((⫏≰10021221⊠≄⫣)+(⫏≰12002122⫌⩹⨱))≭((↯⪼⫏≰10212211)↺(⨞⊢⫏≰10020202)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":75,"operation_count":13,"complexity_ratio":5.769230769230769,"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":2381,"base":3},"right_expr":{"type":"numeric_atoms","value":2372,"base":3}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2752,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2401,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3716,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2830,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2369,"base":3}}}}},"used_operators":["eewbuw0ToL","TpPTUOHfaN","ruOEQAzv1W","12rbrZMWeM","Q3PJZHRvZv","14qkJME0vr","rxpJgHHUmx","W4YGzv6Whe","DIvbN7qnHd","EBcxylXtPf","7j4O788W3g","8jW3W4yZS5","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2381","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=2381, right_input=2372, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2103","layer":3},{"info":"compute unary expreesion, input=2103, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1830","layer":2},{"info":"number node, value=2752","layer":4},{"info":"compute unary expreesion, input=2752, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8335","layer":3},{"info":"compute unary expreesion, input=-8335, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1830, 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=2401","layer":4},{"info":"compute unary expreesion, input=2401, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3716","layer":4},{"info":"compute unary expreesion, input=3716, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8833","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8833, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8833","layer":2},{"info":"number node, value=2830","layer":4},{"info":"compute unary expreesion, input=2830, 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=2369","layer":4},{"info":"compute unary expreesion, input=2369, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2543","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-2543, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2543","layer":2},{"info":"compute binary expreesion, left_input=8833, right_input=-2543, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"((↔(⫏≰10021012⋳⪒⫏≰10020212))+⇶⊼(⊥(⫏≰10202221⊦⊿)))⨰(((⫏≰10021221⊠≄⫣)+(⫏≰12002122⫌⩹⨱))≭((↯⪼⫏≰10212211)↺(⨞⊢⫏≰10020202)))=NaN","reverse_text":"NaN=((↔(⫏≰10021012⋳⪒⫏≰10020212))+⇶⊼(⊥(⫏≰10202221⊦⊿)))⨰(((⫏≰10021221⊠≄⫣)+(⫏≰12002122⫌⩹⨱))≭((↯⪼⫏≰10212211)↺(⨞⊢⫏≰10020202)))","cot":[{"info":"⫏≰10021012⋳⪒⫏≰10020212=⫏≰2212220","layer":3},{"info":"↔⫏≰2212220=⫏≰-2111210","layer":2},{"info":"⫏≰10202221⊦⊿=⫏≰-102102201","layer":3},{"info":"⊥⫏≰-102102201=NaN","layer":2},{"info":"⫏≰-2111210+⇶⊼NaN=NaN","layer":1},{"info":"⫏≰10021221⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰12002122⫌⩹⨱=⫏≰110010011","layer":3},{"info":"⫏≰0+⫏≰110010011=⫏≰110010011","layer":2},{"info":"↯⪼⫏≰10212211=⫏≰-210","layer":3},{"info":"⨞⊢⫏≰10020202=⫏≰-10111012","layer":3},{"info":"⫏≰-210↺⫏≰-10111012=⫏≰-10111012","layer":2},{"info":"⫏≰110010011≭⫏≰-10111012=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":453,"expression_no_base_symbol":"($1242$⨪↰⇹$1494$⨸⪁$4763$≹⇙⪍$1095$)≹⇙⪍(⫓⪴$3929$⪢$5728$)*((≦∁(≦∁$1427$))-($1197$⪒$1644$)⨰(⩦⩻⨪$2366$))","expression":"(⫏≰1201000⨪↰⇹⫏≰2001100⨸⪁⫏≰20112102≹⇙⪍⫏≰1111120)≹⇙⪍(⫓⪴⫏≰12101112⪢⫏≰21212011)*((≦∁(≦∁⫏≰1221212))-(⫏≰1122100⪒⫏≰2020220)⨰(⩦⩻⨪⫏≰10020122))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6992,"operation_count":13,"complexity_ratio":537.8461538461538,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1242,"base":3},"right_expr":{"type":"numeric_atoms","value":1494,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4763,"base":3},"right_expr":{"type":"numeric_atoms","value":1095,"base":3}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3929,"base":3},"right_expr":{"type":"numeric_atoms","value":5728,"base":3}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1427,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1197,"base":3},"right_expr":{"type":"numeric_atoms","value":1644,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2366,"base":3}}}}},"used_operators":["9HNa5Wba9A","AHs5Up7iyr","g55IO6H4Gj","tmPS8pqC7x","eLxqMNBOBk","dWAJyo7jo9","rysDP5nf3Z","9ICcGScMcE","eewbuw0ToL","f6k1SAg4EE","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","W4YGzv6Whe","rJVOvQCfKK","9HNa5Wba9A","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1242","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=1494, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1242","layer":3},{"info":"number node, value=4763","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=4763, right_input=1095, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1242, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=3929","layer":4},{"info":"number node, value=5728","layer":4},{"info":"compute binary expreesion, left_input=3929, right_input=5728, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = eLxqMNBOBk, unary_op_definition = '⫓⪴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=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1427","layer":3},{"info":"compute unary expreesion, input=1427, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1427","layer":2},{"info":"number node, value=1197","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1644, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2841","layer":3},{"info":"number node, value=2366","layer":4},{"info":"compute unary expreesion, input=2366, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2366","layer":3},{"info":"compute binary expreesion, left_input=-2841, right_input=2366, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5197","layer":2},{"info":"compute binary expreesion, left_input=1427, right_input=-5197, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6624","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6624, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1201000⨪↰⇹⫏≰2001100⨸⪁⫏≰20112102≹⇙⪍⫏≰1111120)≹⇙⪍(⫓⪴⫏≰12101112⪢⫏≰21212011)*((≦∁(≦∁⫏≰1221212))-(⫏≰1122100⪒⫏≰2020220)⨰(⩦⩻⨪⫏≰10020122))=NaN","reverse_text":"NaN=(⫏≰1201000⨪↰⇹⫏≰2001100⨸⪁⫏≰20112102≹⇙⪍⫏≰1111120)≹⇙⪍(⫓⪴⫏≰12101112⪢⫏≰21212011)*((≦∁(≦∁⫏≰1221212))-(⫏≰1122100⪒⫏≰2020220)⨰(⩦⩻⨪⫏≰10020122))","cot":[{"info":"⫏≰1201000⨪↰⇹⫏≰2001100=⫏≰1201000","layer":3},{"info":"⫏≰20112102≹⇙⪍⫏≰1111120=NaN","layer":3},{"info":"⫏≰1201000⨸⪁NaN=NaN","layer":2},{"info":"⫏≰12101112⪢⫏≰21212011=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"≦∁⫏≰1221212=⫏≰1221212","layer":3},{"info":"≦∁⫏≰1221212=⫏≰1221212","layer":2},{"info":"⫏≰1122100⪒⫏≰2020220=⫏≰-10220020","layer":3},{"info":"⩦⩻⨪⫏≰10020122=⫏≰10020122","layer":3},{"info":"⫏≰-10220020⨰⫏≰10020122=⫏≰-21010111","layer":2},{"info":"⫏≰1221212-⫏≰-21010111=⫏≰100002100","layer":1},{"info":"NaN*⫏≰100002100=NaN","layer":0}]}
{"id":454,"expression_no_base_symbol":"((⩦⩻⨪$1719$)≧⫂∧($1721$⩷∴$6286$))↬($6165$⨰$3780$⊭∹↮)⫥∨⫟(⊄⩳↩(≦∁$1506$⋓$1922$))","expression":"((⩦⩻⨪⫏≰2100200)≧⫂∧(⫏≰2100202⩷∴⫏≰22121211))↬(⫏≰22110100⨰⫏≰12012000⊭∹↮)⫥∨⫟(⊄⩳↩(≦∁⫏≰2001210⋓⫏≰2122012))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":221,"operation_count":10,"complexity_ratio":22.1,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1719,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1721,"base":3},"right_expr":{"type":"numeric_atoms","value":6286,"base":3}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6165,"base":3},"right_expr":{"type":"numeric_atoms","value":3780,"base":3}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1506,"base":3},"right_expr":{"type":"numeric_atoms","value":1922,"base":3}}}}},"used_operators":["KYD54nUTWz","B5M0gjZbta","Ph9nP6C5qx","2td37pGCOC","9FxExcQeMw","xNBdhnnwKq","eewbuw0ToL","8w2t5hMYqp","9ICcGScMcE","T2fj7uvVaJ"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1719","layer":4},{"info":"compute unary expreesion, input=1719, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1719","layer":3},{"info":"number node, value=1721","layer":4},{"info":"number node, value=6286","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=6286, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9162","layer":3},{"info":"compute binary expreesion, left_input=1719, right_input=-9162, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=10881","layer":2},{"info":"number node, value=6165","layer":4},{"info":"number node, value=3780","layer":4},{"info":"compute binary expreesion, left_input=6165, right_input=3780, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2395","layer":3},{"info":"compute unary expreesion, input=2395, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4790","layer":2},{"info":"compute binary expreesion, left_input=10881, right_input=4790, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1506","layer":4},{"info":"number node, value=1922","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=1922, op_id = T2fj7uvVaJ 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 = 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=960","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=960, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⩦⩻⨪⫏≰2100200)≧⫂∧(⫏≰2100202⩷∴⫏≰22121211))↬(⫏≰22110100⨰⫏≰12012000⊭∹↮)⫥∨⫟(⊄⩳↩(≦∁⫏≰2001210⋓⫏≰2122012))=NaN","reverse_text":"NaN=((⩦⩻⨪⫏≰2100200)≧⫂∧(⫏≰2100202⩷∴⫏≰22121211))↬(⫏≰22110100⨰⫏≰12012000⊭∹↮)⫥∨⫟(⊄⩳↩(≦∁⫏≰2001210⋓⫏≰2122012))","cot":[{"info":"⩦⩻⨪⫏≰2100200=⫏≰2100200","layer":3},{"info":"⫏≰2100202⩷∴⫏≰22121211=⫏≰-110120100","layer":3},{"info":"⫏≰2100200≧⫂∧⫏≰-110120100=⫏≰112221000","layer":2},{"info":"⫏≰22110100⨰⫏≰12012000=⫏≰10021201","layer":3},{"info":"⫏≰10021201⊭∹↮=⫏≰20120102","layer":2},{"info":"⫏≰112221000↬⫏≰20120102=NaN","layer":1},{"info":"⫏≰2001210⋓⫏≰2122012=⫏≰0","layer":3},{"info":"≦∁⫏≰0=⫏≰-102212","layer":2},{"info":"⊄⩳↩⫏≰-102212=⫏≰1022120","layer":1},{"info":"NaN⫥∨⫟⫏≰1022120=NaN","layer":0}]}
{"id":455,"expression_no_base_symbol":"(($1091$⫸⊐$2543$)⪮%⊝(↔$1188$)⪒($2960$⪢$5365$↪⪝))⨓(⨵≀≌($2276$⨵⪆$1662$)+⇶⊼($5359$≣⋋))","expression":"((⫏≰1111102⫸⊐⫏≰10111012)⪮%⊝(↔⫏≰1122000)⪒(⫏≰11001122⪢⫏≰21100201↪⪝))⨓(⨵≀≌(⫏≰10010022⨵⪆⫏≰2021120)+⇶⊼(⫏≰21100111≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5942,"operation_count":11,"complexity_ratio":540.1818181818181,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1091,"base":3},"right_expr":{"type":"numeric_atoms","value":2543,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1188,"base":3}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2960,"base":3},"right_expr":{"type":"numeric_atoms","value":5365,"base":3}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2276,"base":3},"right_expr":{"type":"numeric_atoms","value":1662,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5359,"base":3}}}}},"used_operators":["3ViojmjbAp","f6k1SAg4EE","IWmyXbctLI","mqXw5SEYmG","ruOEQAzv1W","l07mrZUIn9","dWAJyo7jo9","srAu1WTS94","TpPTUOHfaN","2DQ55sFlQl","Tcnh7f0tEr"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1091","layer":4},{"info":"number node, value=2543","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=2543, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10047","layer":3},{"info":"number node, value=1188","layer":4},{"info":"compute unary expreesion, input=1188, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-915","layer":3},{"info":"compute binary expreesion, left_input=10047, right_input=-915, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=20410","layer":2},{"info":"number node, value=2960","layer":4},{"info":"number node, value=5365","layer":4},{"info":"compute binary expreesion, left_input=2960, right_input=5365, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20410, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2276","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=1662, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5359","layer":4},{"info":"compute unary expreesion, input=5359, 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=160, 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 unary expreesion, input=0, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾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":3,"result_base":3,"text":"((⫏≰1111102⫸⊐⫏≰10111012)⪮%⊝(↔⫏≰1122000)⪒(⫏≰11001122⪢⫏≰21100201↪⪝))⨓(⨵≀≌(⫏≰10010022⨵⪆⫏≰2021120)+⇶⊼(⫏≰21100111≣⋋))=NaN","reverse_text":"NaN=((⫏≰1111102⫸⊐⫏≰10111012)⪮%⊝(↔⫏≰1122000)⪒(⫏≰11001122⪢⫏≰21100201↪⪝))⨓(⨵≀≌(⫏≰10010022⨵⪆⫏≰2021120)+⇶⊼(⫏≰21100111≣⋋))","cot":[{"info":"⫏≰1111102⫸⊐⫏≰10111012=⫏≰111210010","layer":3},{"info":"↔⫏≰1122000=⫏≰-1020220","layer":3},{"info":"⫏≰111210010⪮%⊝⫏≰-1020220=⫏≰1000222221","layer":2},{"info":"⫏≰11001122⪢⫏≰21100201=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"⫏≰1000222221⪒NaN=NaN","layer":1},{"info":"⫏≰10010022⨵⪆⫏≰2021120=⫏≰12221","layer":3},{"info":"⫏≰21100111≣⋋=⫏≰0","layer":3},{"info":"⫏≰12221+⇶⊼⫏≰0=⫏≰0","layer":2},{"info":"⨵≀≌⫏≰0=⫏≰0","layer":1},{"info":"NaN⨓⫏≰0=NaN","layer":0}]}
{"id":456,"expression_no_base_symbol":"((($1022$⨵⪆$2377$)⊠≄⫣)+(↽≂$3640$⩷∴$4697$))⨟⋌⩍(($3026$∸)⨓$3467$⪢$1569$⨰(($4223$⩨$3247$)⋳⪒$2360$≹⇙⪍$2380$))","expression":"(((⫏≰1101212⨵⪆⫏≰10021001)⊠≄⫣)+(↽≂⫏≰11222211⩷∴⫏≰20102222))⨟⋌⩍((⫏≰11011002∸)⨓⫏≰11202102⪢⫏≰2011010⨰((⫏≰12210102⩨⫏≰11110021)⋳⪒⫏≰10020102≹⇙⪍⫏≰10021011))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7142,"operation_count":13,"complexity_ratio":549.3846153846154,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1022,"base":3},"right_expr":{"type":"numeric_atoms","value":2377,"base":3}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3640,"base":3},"right_expr":{"type":"numeric_atoms","value":4697,"base":3}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3026,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3467,"base":3},"right_expr":{"type":"numeric_atoms","value":1569,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4223,"base":3},"right_expr":{"type":"numeric_atoms","value":3247,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2360,"base":3},"right_expr":{"type":"numeric_atoms","value":2380,"base":3}}}}},"used_operators":["rGHVDoGpnC","W4YGzv6Whe","DIvbN7qnHd","2DQ55sFlQl","u6S6b8DprG","9FxExcQeMw","eewbuw0ToL","3ViojmjbAp","o20kRiQErp","dWAJyo7jo9","12rbrZMWeM","2DlMacCsIx","AHs5Up7iyr"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1022","layer":4},{"info":"number node, value=2377","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=2377, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=3640","layer":4},{"info":"number node, value=4697","layer":4},{"info":"compute binary expreesion, left_input=3640, right_input=4697, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2146","layer":3},{"info":"compute unary expreesion, input=-2146, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=4292","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4292, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4292","layer":1},{"info":"number node, value=3026","layer":4},{"info":"compute unary expreesion, input=3026, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=3467","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=3467, right_input=1569, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=4223","layer":4},{"info":"number node, value=3247","layer":4},{"info":"compute binary expreesion, left_input=4223, right_input=3247, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2360","layer":4},{"info":"number node, value=2380","layer":4},{"info":"compute binary expreesion, left_input=2360, right_input=2380, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4292, 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":3,"result_base":3,"text":"(((⫏≰1101212⨵⪆⫏≰10021001)⊠≄⫣)+(↽≂⫏≰11222211⩷∴⫏≰20102222))⨟⋌⩍((⫏≰11011002∸)⨓⫏≰11202102⪢⫏≰2011010⨰((⫏≰12210102⩨⫏≰11110021)⋳⪒⫏≰10020102≹⇙⪍⫏≰10021011))=NaN","reverse_text":"NaN=(((⫏≰1101212⨵⪆⫏≰10021001)⊠≄⫣)+(↽≂⫏≰11222211⩷∴⫏≰20102222))⨟⋌⩍((⫏≰11011002∸)⨓⫏≰11202102⪢⫏≰2011010⨰((⫏≰12210102⩨⫏≰11110021)⋳⪒⫏≰10020102≹⇙⪍⫏≰10021011))","cot":[{"info":"⫏≰1101212⨵⪆⫏≰10021001=⫏≰12221","layer":3},{"info":"⫏≰12221⊠≄⫣=⫏≰0","layer":2},{"info":"⫏≰11222211⩷∴⫏≰20102222=⫏≰-2221111","layer":3},{"info":"↽≂⫏≰-2221111=⫏≰12212222","layer":2},{"info":"⫏≰0+⫏≰12212222=⫏≰12212222","layer":1},{"info":"⫏≰11011002∸=⫏≰20120","layer":3},{"info":"⫏≰11202102⪢⫏≰2011010=NaN","layer":3},{"info":"⫏≰20120⨓NaN=NaN","layer":2},{"info":"⫏≰12210102⩨⫏≰11110021=⫏≰0","layer":3},{"info":"⫏≰10020102≹⇙⪍⫏≰10021011=NaN","layer":3},{"info":"⫏≰0⋳⪒NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⫏≰12212222⨟⋌⩍NaN=NaN","layer":0}]}
{"id":457,"expression_no_base_symbol":"+⊝⨔((-$1659$)↬($7309$⊘))⊴(≉$3781$⨐⩸⫘$5676$)","expression":"+⊝⨔((-⫏≰2021110)↬(⫏≰101000201⊘))⊴(≉⫏≰12012001⨐⩸⫘⫏≰21210020)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":50,"operation_count":7,"complexity_ratio":7.142857142857143,"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":1659,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":7309,"base":3}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3781,"base":3},"right_expr":{"type":"numeric_atoms","value":5676,"base":3}}}}},"used_operators":["DhbWaqg5eL","Nsiff2A1zJ","B5M0gjZbta","t8gj7n24qd","gu96TGCTMs","e1ybzncUwg","fu6greOZ01"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1659","layer":4},{"info":"compute unary expreesion, input=1659, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1659","layer":3},{"info":"number node, value=7309","layer":4},{"info":"compute unary expreesion, input=7309, 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=-1659, 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=3781","layer":4},{"info":"number node, value=5676","layer":4},{"info":"compute binary expreesion, left_input=3781, right_input=5676, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":3,"result_base":3,"text":"+⊝⨔((-⫏≰2021110)↬(⫏≰101000201⊘))⊴(≉⫏≰12012001⨐⩸⫘⫏≰21210020)=⫏≰2002101","reverse_text":"⫏≰2002101=+⊝⨔((-⫏≰2021110)↬(⫏≰101000201⊘))⊴(≉⫏≰12012001⨐⩸⫘⫏≰21210020)","cot":[{"info":"-⫏≰2021110=⫏≰-2021110","layer":3},{"info":"⫏≰101000201⊘=⫏≰0","layer":3},{"info":"⫏≰-2021110↬⫏≰0=NaN","layer":2},{"info":"⫏≰12012001⨐⩸⫘⫏≰21210020=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⫏≰2002101","layer":0}]}
{"id":458,"expression_no_base_symbol":"((($3499$⨳⩥⨓$2719$)⇋≉)⨎($5503$⨽$1317$⫡⨏(⨑⩽⪐$3205$)))⨪↰⇹((⨑⩽⪐($1554$⩤))∲⫓(↯⪼($4529$+⇶⊼$1541$)))","expression":"(((⫏≰11210121⨳⩥⨓⫏≰10201201)⇋≉)⨎(⫏≰21112211⨽⫏≰1210210⫡⨏(⨑⩽⪐⫏≰11101201)))⨪↰⇹((⨑⩽⪐(⫏≰2010120⩤))∲⫓(↯⪼(⫏≰20012202+⇶⊼⫏≰2010002)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5572,"operation_count":12,"complexity_ratio":464.3333333333333,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3499,"base":3},"right_expr":{"type":"numeric_atoms","value":2719,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5503,"base":3},"right_expr":{"type":"numeric_atoms","value":1317,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3205,"base":3}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1554,"base":3}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4529,"base":3},"right_expr":{"type":"numeric_atoms","value":1541,"base":3}}}}},"used_operators":["tmPS8pqC7x","rJVOvQCfKK","XIabStNQrY","nCS4ZIUYfx","QMFrweE19q","8HhzD0ZcuI","AF7qkfDlqP","i8ToyICDmI","Z2TMIBDE3Q","8jW3W4yZS5","TpPTUOHfaN"],"dependent_operators":["rJVOvQCfKK","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3499","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=3499, right_input=2719, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-780","layer":3},{"info":"compute unary expreesion, input=-780, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-1658","layer":2},{"info":"number node, value=5503","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=5503, right_input=1317, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-90851664","layer":3},{"info":"number node, value=3205","layer":4},{"info":"compute unary expreesion, input=3205, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2932","layer":3},{"info":"compute binary expreesion, left_input=-90851664, right_input=-2932, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-454263401","layer":2},{"info":"compute binary expreesion, left_input=-1658, right_input=-454263401, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-454263401","layer":1},{"info":"number node, value=1554","layer":4},{"info":"compute unary expreesion, input=1554, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1554","layer":3},{"info":"compute unary expreesion, input=-1554, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=3897","layer":2},{"info":"number node, value=4529","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=4529, right_input=1541, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3897, right_input=-21, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=3897","layer":1},{"info":"compute binary expreesion, left_input=-454263401, right_input=3897, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":3,"result_base":3,"text":"(((⫏≰11210121⨳⩥⨓⫏≰10201201)⇋≉)⨎(⫏≰21112211⨽⫏≰1210210⫡⨏(⨑⩽⪐⫏≰11101201)))⨪↰⇹((⨑⩽⪐(⫏≰2010120⩤))∲⫓(↯⪼(⫏≰20012202+⇶⊼⫏≰2010002)))=NaN","reverse_text":"NaN=(((⫏≰11210121⨳⩥⨓⫏≰10201201)⇋≉)⨎(⫏≰21112211⨽⫏≰1210210⫡⨏(⨑⩽⪐⫏≰11101201)))⨪↰⇹((⨑⩽⪐(⫏≰2010120⩤))∲⫓(↯⪼(⫏≰20012202+⇶⊼⫏≰2010002)))","cot":[{"info":"⫏≰11210121⨳⩥⨓⫏≰10201201=⫏≰-1001220","layer":3},{"info":"⫏≰-1001220⇋≉=⫏≰-2021102","layer":2},{"info":"⫏≰21112211⨽⫏≰1210210=⫏≰-20022221202001110","layer":3},{"info":"⨑⩽⪐⫏≰11101201=⫏≰-11000121","layer":3},{"info":"⫏≰-20022221202001110⫡⨏⫏≰-11000121=⫏≰-1011122202222020102","layer":2},{"info":"⫏≰-2021102⨎⫏≰-1011122202222020102=⫏≰-1011122202222020102","layer":1},{"info":"⫏≰2010120⩤=⫏≰-2010120","layer":3},{"info":"⨑⩽⪐⫏≰-2010120=⫏≰12100100","layer":2},{"info":"⫏≰20012202+⇶⊼⫏≰2010002=NaN","layer":3},{"info":"↯⪼NaN=⫏≰-210","layer":2},{"info":"⫏≰12100100∲⫓⫏≰-210=⫏≰12100100","layer":1},{"info":"⫏≰-1011122202222020102⨪↰⇹⫏≰12100100=NaN","layer":0}]}
{"id":459,"expression_no_base_symbol":"⨞⊢(⨈⫕($4057$/$2910$)⋓(↥$2325$))","expression":"⨞⊢(⨈⫕(⫏≰12120021/⫏≰10222210)⋓(↥⫏≰10012010))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":447,"operation_count":5,"complexity_ratio":89.4,"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":4057,"base":3},"right_expr":{"type":"numeric_atoms","value":2910,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2325,"base":3}}}}},"used_operators":["xUOZtlo3hN","megm06wKyl","T2fj7uvVaJ","XhwjNDsVaA","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","k8jYdgA6NY"],"result":"⫏≰-12200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4057","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=4057, right_input=2910, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2325","layer":4},{"info":"compute unary expreesion, input=2325, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=30","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=30, op_id = T2fj7uvVaJ 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-153","layer":0}],"base":3,"result_base":3,"text":"⨞⊢(⨈⫕(⫏≰12120021/⫏≰10222210)⋓(↥⫏≰10012010))=⫏≰-12200","reverse_text":"⫏≰-12200=⨞⊢(⨈⫕(⫏≰12120021/⫏≰10222210)⋓(↥⫏≰10012010))","cot":[{"info":"⫏≰12120021/⫏≰10222210=⫏≰1","layer":3},{"info":"↥⫏≰10012010=⫏≰1010","layer":3},{"info":"⫏≰1⋓⫏≰1010=⫏≰0","layer":2},{"info":"⨈⫕⫏≰0=⫏≰-210","layer":1},{"info":"⨞⊢⫏≰-210=⫏≰-12200","layer":0}]}
{"id":460,"expression_no_base_symbol":"($4255$⪢$2855$)⪮%⊝($6348$⩤)↙($1174$∑⇟⊟$1129$⪐)∲⫓(↩$2318$⋥≓≎$2026$)*(⨵≀≌($1630$⪨≂$1481$))","expression":"(⫏≰12211121⪢⫏≰10220202)⪮%⊝(⫏≰22201010⩤)↙(⫏≰1121111∑⇟⊟⫏≰1112211⪐)∲⫓(↩⫏≰10011212⋥≓≎⫏≰2210001)*(⨵≀≌(⫏≰2020101⪨≂⫏≰2000212))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5944,"operation_count":12,"complexity_ratio":495.3333333333333,"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":4255,"base":3},"right_expr":{"type":"numeric_atoms","value":2855,"base":3}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6348,"base":3}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1174,"base":3},"right_expr":{"type":"numeric_atoms","value":1129,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2318,"base":3},"right_expr":{"type":"numeric_atoms","value":2026,"base":3}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1630,"base":3},"right_expr":{"type":"numeric_atoms","value":1481,"base":3}}}}},"used_operators":["i8ToyICDmI","yyfyN0ffXY","IWmyXbctLI","dWAJyo7jo9","Z2TMIBDE3Q","eH2TOUuTDT","U7g4x0WXJJ","9HNa5Wba9A","jLgFTUHLKL","Qy55tPpLXF","srAu1WTS94","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4255","layer":4},{"info":"number node, value=2855","layer":4},{"info":"compute binary expreesion, left_input=4255, right_input=2855, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=6348","layer":4},{"info":"compute unary expreesion, input=6348, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6348","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6348, 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=1129","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=1129, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=2318","layer":4},{"info":"number node, value=2026","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=2026, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1767","layer":3},{"info":"compute unary expreesion, input=1767, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11356","layer":2},{"info":"number node, value=1630","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=1481, op_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":"compute unary expreesion, input=400, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-1200","layer":2},{"info":"compute binary expreesion, left_input=-11356, right_input=-1200, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13627200","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13627200, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12211121⪢⫏≰10220202)⪮%⊝(⫏≰22201010⩤)↙(⫏≰1121111∑⇟⊟⫏≰1112211⪐)∲⫓(↩⫏≰10011212⋥≓≎⫏≰2210001)*(⨵≀≌(⫏≰2020101⪨≂⫏≰2000212))=⫏≰0","reverse_text":"⫏≰0=(⫏≰12211121⪢⫏≰10220202)⪮%⊝(⫏≰22201010⩤)↙(⫏≰1121111∑⇟⊟⫏≰1112211⪐)∲⫓(↩⫏≰10011212⋥≓≎⫏≰2210001)*(⨵≀≌(⫏≰2020101⪨≂⫏≰2000212))","cot":[{"info":"⫏≰12211121⪢⫏≰10220202=NaN","layer":3},{"info":"⫏≰22201010⩤=⫏≰-22201010","layer":3},{"info":"NaN⪮%⊝⫏≰-22201010=NaN","layer":2},{"info":"⫏≰1121111∑⇟⊟⫏≰1112211=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⫏≰10011212⋥≓≎⫏≰2210001=⫏≰2102110","layer":3},{"info":"↩⫏≰2102110=⫏≰-120120121","layer":2},{"info":"⫏≰2020101⪨≂⫏≰2000212=⫏≰112211","layer":3},{"info":"⨵≀≌⫏≰112211=⫏≰-1122110","layer":2},{"info":"⫏≰-120120121*⫏≰-1122110=⫏≰221122100000010","layer":1},{"info":"NaN∲⫓⫏≰221122100000010=⫏≰0","layer":0}]}
{"id":461,"expression_no_base_symbol":"(($1024$-$1820$)⋥≓≎($7604$⊭∹↮))+⇶⊼($1874$↬$5157$⊭↱(-$1760$))⩤","expression":"((⫏≰1101221-⫏≰2111102)⋥≓≎(⫏≰101102122⊭∹↮))+⇶⊼(⫏≰2120102↬⫏≰21002000⊭↱(-⫏≰2102012))⩤","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19,"operation_count":8,"complexity_ratio":2.375,"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":1024,"base":3},"right_expr":{"type":"numeric_atoms","value":1820,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":7604,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1874,"base":3},"right_expr":{"type":"numeric_atoms","value":5157,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1760,"base":3}}}}},"used_operators":["Z2TMIBDE3Q","TpPTUOHfaN","Qy55tPpLXF","rysDP5nf3Z","xNBdhnnwKq","COABgblf1C","B5M0gjZbta","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1024","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1820, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-796","layer":3},{"info":"number node, value=7604","layer":4},{"info":"compute unary expreesion, input=7604, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=15208","layer":3},{"info":"compute binary expreesion, left_input=-796, right_input=15208, 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=1874","layer":4},{"info":"number node, value=5157","layer":4},{"info":"compute binary expreesion, left_input=1874, right_input=5157, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1760","layer":4},{"info":"compute unary expreesion, input=1760, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1760","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1760, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1101221-⫏≰2111102)⋥≓≎(⫏≰101102122⊭∹↮))+⇶⊼(⫏≰2120102↬⫏≰21002000⊭↱(-⫏≰2102012))⩤=NaN","reverse_text":"NaN=((⫏≰1101221-⫏≰2111102)⋥≓≎(⫏≰101102122⊭∹↮))+⇶⊼(⫏≰2120102↬⫏≰21002000⊭↱(-⫏≰2102012))⩤","cot":[{"info":"⫏≰1101221-⫏≰2111102=⫏≰-1002111","layer":3},{"info":"⫏≰101102122⊭∹↮=⫏≰202212021","layer":3},{"info":"⫏≰-1002111⋥≓≎⫏≰202212021=⫏≰2111","layer":2},{"info":"⫏≰2120102↬⫏≰21002000=NaN","layer":3},{"info":"-⫏≰2102012=⫏≰-2102012","layer":3},{"info":"NaN⊭↱⫏≰-2102012=NaN","layer":2},{"info":"⫏≰2111+⇶⊼NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":462,"expression_no_base_symbol":"⋗⩬⋾(($1575$⪢$6938$⪒(↽≂$2893$))∲⫓($2851$⇷$1151$⩤))","expression":"⋗⩬⋾((⫏≰2011100⪢⫏≰100111222⪒(↽≂⫏≰10222011))∲⫓(⫏≰10220121⇷⫏≰1120122⩤))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":46869,"operation_count":7,"complexity_ratio":6695.571428571428,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1575,"base":3},"right_expr":{"type":"numeric_atoms","value":6938,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2893,"base":3}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2851,"base":3},"right_expr":{"type":"numeric_atoms","value":1151,"base":3}}}}},"used_operators":["DpFCA1CohY","i8ToyICDmI","f6k1SAg4EE","dWAJyo7jo9","u6S6b8DprG","Z2TMIBDE3Q","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1575","layer":4},{"info":"number node, value=6938","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=6938, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2893","layer":4},{"info":"compute unary expreesion, input=2893, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5786","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5786, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2851","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=1151, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2302","layer":3},{"info":"compute unary expreesion, input=2302, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2302","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2302, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⋗⩬⋾((⫏≰2011100⪢⫏≰100111222⪒(↽≂⫏≰10222011))∲⫓(⫏≰10220121⇷⫏≰1120122⩤))=NaN","reverse_text":"NaN=⋗⩬⋾((⫏≰2011100⪢⫏≰100111222⪒(↽≂⫏≰10222011))∲⫓(⫏≰10220121⇷⫏≰1120122⩤))","cot":[{"info":"⫏≰2011100⪢⫏≰100111222=NaN","layer":3},{"info":"↽≂⫏≰10222011=⫏≰-21221022","layer":3},{"info":"NaN⪒⫏≰-21221022=NaN","layer":2},{"info":"⫏≰10220121⇷⫏≰1120122=⫏≰10011021","layer":3},{"info":"⫏≰10011021⩤=⫏≰-10011021","layer":2},{"info":"NaN∲⫓⫏≰-10011021=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":463,"expression_no_base_symbol":"⨵≀≌(-($3481$⩚⊴⇥$2589$/$1486$≧⫂∧$5297$))","expression":"⨵≀≌(-(⫏≰11202221⩚⊴⇥⫏≰10112220/⫏≰2001001≧⫂∧⫏≰21021012))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13,"operation_count":5,"complexity_ratio":2.6,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3481,"base":3},"right_expr":{"type":"numeric_atoms","value":2589,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1486,"base":3},"right_expr":{"type":"numeric_atoms","value":5297,"base":3}}}}},"used_operators":["srAu1WTS94","t8gj7n24qd","XhwjNDsVaA","NTOWxs364D","Ph9nP6C5qx"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰11","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3481","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=3481, right_input=2589, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6191","layer":3},{"info":"number node, value=1486","layer":4},{"info":"number node, value=5297","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=5297, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4824","layer":3},{"info":"compute binary expreesion, left_input=-6191, right_input=4824, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":2},{"info":"compute unary expreesion, input=-2, op_id = t8gj7n24qd, unary_op_definition = 'None', output=2","layer":1},{"info":"compute unary expreesion, input=2, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=4","layer":0}],"base":3,"result_base":3,"text":"⨵≀≌(-(⫏≰11202221⩚⊴⇥⫏≰10112220/⫏≰2001001≧⫂∧⫏≰21021012))=⫏≰11","reverse_text":"⫏≰11=⨵≀≌(-(⫏≰11202221⩚⊴⇥⫏≰10112220/⫏≰2001001≧⫂∧⫏≰21021012))","cot":[{"info":"⫏≰11202221⩚⊴⇥⫏≰10112220=⫏≰-22111022","layer":3},{"info":"⫏≰2001001≧⫂∧⫏≰21021012=⫏≰20121200","layer":3},{"info":"⫏≰-22111022/⫏≰20121200=⫏≰-2","layer":2},{"info":"-⫏≰-2=⫏≰2","layer":1},{"info":"⨵≀≌⫏≰2=⫏≰11","layer":0}]}
{"id":464,"expression_no_base_symbol":"(↩(⇁⨣⪵$7136$)⩷∴$3241$⇷$1272$)⋷((($2651$≣⋋)∸)⋫)","expression":"(↩(⇁⨣⪵⫏≰100210022)⩷∴⫏≰11110001⇷⫏≰1202010)⋷(((⫏≰10122012≣⋋)∸)⋫)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":46276,"operation_count":8,"complexity_ratio":5784.5,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":7136,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3241,"base":3},"right_expr":{"type":"numeric_atoms","value":1272,"base":3}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2651,"base":3}}}}},"used_operators":["23Mk6UjR3U","jLgFTUHLKL","9FxExcQeMw","inkyxCbjAn","mp7IySMOzn","JL8yIekQnl","o20kRiQErp","Tcnh7f0tEr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","tmPS8pqC7x","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7136","layer":4},{"info":"compute unary expreesion, input=7136, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3241","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=3241, right_input=1272, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2544","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2544, 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 = 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=2651","layer":4},{"info":"compute unary expreesion, input=2651, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↩(⇁⨣⪵⫏≰100210022)⩷∴⫏≰11110001⇷⫏≰1202010)⋷(((⫏≰10122012≣⋋)∸)⋫)=NaN","reverse_text":"NaN=(↩(⇁⨣⪵⫏≰100210022)⩷∴⫏≰11110001⇷⫏≰1202010)⋷(((⫏≰10122012≣⋋)∸)⋫)","cot":[{"info":"⇁⨣⪵⫏≰100210022=NaN","layer":3},{"info":"⫏≰11110001⇷⫏≰1202010=⫏≰10111020","layer":3},{"info":"NaN⩷∴⫏≰10111020=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"⫏≰10122012≣⋋=⫏≰0","layer":3},{"info":"⫏≰0∸=⫏≰20120","layer":2},{"info":"⫏≰20120⋫=⫏≰20120","layer":1},{"info":"NaN⋷⫏≰20120=NaN","layer":0}]}
{"id":465,"expression_no_base_symbol":"(⪝⪂⫅($2873$≎⊠⪸$2468$↺$1661$↬$1267$))⫸⊐(((⇁⨣⪵$5301$)*$1007$≹⇙⪍$4716$)≦≮≮)","expression":"(⪝⪂⫅(⫏≰10221102≎⊠⪸⫏≰10101102↺⫏≰2021112↬⫏≰1201221))⫸⊐(((⇁⨣⪵⫏≰21021100)*⫏≰1101022≹⇙⪍⫏≰20110200)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":287,"operation_count":9,"complexity_ratio":31.88888888888889,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2873,"base":3},"right_expr":{"type":"numeric_atoms","value":2468,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1661,"base":3},"right_expr":{"type":"numeric_atoms","value":1267,"base":3}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5301,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1007,"base":3},"right_expr":{"type":"numeric_atoms","value":4716,"base":3}}}}},"used_operators":["mqXw5SEYmG","XTarYq4gQB","7j4O788W3g","bJkvcejdHO","B5M0gjZbta","D4vGDi5EA2","9HNa5Wba9A","inkyxCbjAn","AHs5Up7iyr"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2873","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=2873, right_input=2468, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=743634","layer":3},{"info":"number node, value=1661","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=1267, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=743634, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=5301","layer":4},{"info":"compute unary expreesion, input=5301, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=4716","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=4716, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 9HNa5Wba9A binary_op_definition= 'None', 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=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":3,"result_base":3,"text":"(⪝⪂⫅(⫏≰10221102≎⊠⪸⫏≰10101102↺⫏≰2021112↬⫏≰1201221))⫸⊐(((⇁⨣⪵⫏≰21021100)*⫏≰1101022≹⇙⪍⫏≰20110200)≦≮≮)=NaN","reverse_text":"NaN=(⪝⪂⫅(⫏≰10221102≎⊠⪸⫏≰10101102↺⫏≰2021112↬⫏≰1201221))⫸⊐(((⇁⨣⪵⫏≰21021100)*⫏≰1101022≹⇙⪍⫏≰20110200)≦≮≮)","cot":[{"info":"⫏≰10221102≎⊠⪸⫏≰10101102=⫏≰1101210002000","layer":3},{"info":"⫏≰2021112↬⫏≰1201221=NaN","layer":3},{"info":"⫏≰1101210002000↺NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⇁⨣⪵⫏≰21021100=NaN","layer":3},{"info":"⫏≰1101022≹⇙⪍⫏≰20110200=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":466,"expression_no_base_symbol":"($2133$≹⇙⪍$2950$+⇶⊼($2794$⋳⪒$3677$))↬($6542$⨓$3022$/$1733$∼$1914$)+($3360$≦≮≮)⨟⋌⩍($4787$⊦⊿)⇷($1107$⇷$1812$⨽$3186$⪘⫢$1972$)","expression":"(⫏≰2221000≹⇙⪍⫏≰11001021+⇶⊼(⫏≰10211111⋳⪒⫏≰12001012))↬(⫏≰22222022⨓⫏≰11010221/⫏≰2101012∼⫏≰2121220)+(⫏≰11121110≦≮≮)⨟⋌⩍(⫏≰20120022⊦⊿)⇷(⫏≰1112000⇷⫏≰2111010⨽⫏≰11101000⪘⫢⫏≰2201001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22246,"operation_count":15,"complexity_ratio":1483.0666666666666,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2133,"base":3},"right_expr":{"type":"numeric_atoms","value":2950,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2794,"base":3},"right_expr":{"type":"numeric_atoms","value":3677,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6542,"base":3},"right_expr":{"type":"numeric_atoms","value":3022,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1733,"base":3},"right_expr":{"type":"numeric_atoms","value":1914,"base":3}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3360,"base":3}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4787,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1107,"base":3},"right_expr":{"type":"numeric_atoms","value":1812,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3186,"base":3},"right_expr":{"type":"numeric_atoms","value":1972,"base":3}}}}},"used_operators":["W4YGzv6Whe","B5M0gjZbta","TpPTUOHfaN","AHs5Up7iyr","12rbrZMWeM","XhwjNDsVaA","3ViojmjbAp","DyGG3AbaNP","mp7IySMOzn","rGHVDoGpnC","D4vGDi5EA2","14qkJME0vr","8HhzD0ZcuI","oacrs7FA3X"],"dependent_operators":["rGHVDoGpnC","AHs5Up7iyr","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2133","layer":4},{"info":"number node, value=2950","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=2950, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2794","layer":4},{"info":"number node, value=3677","layer":4},{"info":"compute binary expreesion, left_input=2794, right_input=3677, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1624","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1624, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=6542","layer":4},{"info":"number node, value=3022","layer":4},{"info":"compute binary expreesion, left_input=6542, right_input=3022, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3025","layer":3},{"info":"number node, value=1733","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=1914, 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=-3025, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3360","layer":4},{"info":"compute unary expreesion, input=3360, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10080","layer":3},{"info":"number node, value=4787","layer":4},{"info":"compute unary expreesion, input=4787, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-14440","layer":3},{"info":"compute binary expreesion, left_input=-10080, right_input=-14440, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1107","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1812, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3624","layer":3},{"info":"number node, value=3186","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=3186, right_input=1972, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6248","layer":3},{"info":"compute binary expreesion, left_input=3624, right_input=6248, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-39417558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-39417558, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2221000≹⇙⪍⫏≰11001021+⇶⊼(⫏≰10211111⋳⪒⫏≰12001012))↬(⫏≰22222022⨓⫏≰11010221/⫏≰2101012∼⫏≰2121220)+(⫏≰11121110≦≮≮)⨟⋌⩍(⫏≰20120022⊦⊿)⇷(⫏≰1112000⇷⫏≰2111010⨽⫏≰11101000⪘⫢⫏≰2201001)=NaN","reverse_text":"NaN=(⫏≰2221000≹⇙⪍⫏≰11001021+⇶⊼(⫏≰10211111⋳⪒⫏≰12001012))↬(⫏≰22222022⨓⫏≰11010221/⫏≰2101012∼⫏≰2121220)+(⫏≰11121110≦≮≮)⨟⋌⩍(⫏≰20120022⊦⊿)⇷(⫏≰1112000⇷⫏≰2111010⨽⫏≰11101000⪘⫢⫏≰2201001)","cot":[{"info":"⫏≰2221000≹⇙⪍⫏≰11001021=NaN","layer":3},{"info":"⫏≰10211111⋳⪒⫏≰12001012=⫏≰2020011","layer":3},{"info":"NaN+⇶⊼⫏≰2020011=NaN","layer":2},{"info":"⫏≰22222022⨓⫏≰11010221=⫏≰-11011001","layer":3},{"info":"⫏≰2101012∼⫏≰2121220=NaN","layer":3},{"info":"⫏≰-11011001/NaN=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⫏≰11121110≦≮≮=⫏≰-111211100","layer":3},{"info":"⫏≰20120022⊦⊿=⫏≰-201210211","layer":3},{"info":"⫏≰-111211100⨟⋌⩍⫏≰-201210211=NaN","layer":2},{"info":"⫏≰1112000⇷⫏≰2111010=⫏≰11222020","layer":3},{"info":"⫏≰11101000⪘⫢⫏≰2201001=⫏≰22120102","layer":3},{"info":"⫏≰11222020⨽⫏≰22120102=⫏≰-2202011121201120","layer":2},{"info":"NaN⇷⫏≰-2202011121201120=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":467,"expression_no_base_symbol":"($1803$⇷$4257$≭$2031$∑⇟⊟$3148$*($4564$∑⇟⊟$1022$∲⫓$1585$↬$1152$))⫩⊇","expression":"(⫏≰2110210⇷⫏≰12211200≭⫏≰2210020∑⇟⊟⫏≰11022121*(⫏≰20021001∑⇟⊟⫏≰1101212∲⫓⫏≰2011201↬⫏≰1120200))⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":25257,"operation_count":8,"complexity_ratio":3157.125,"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":1803,"base":3},"right_expr":{"type":"numeric_atoms","value":4257,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2031,"base":3},"right_expr":{"type":"numeric_atoms","value":3148,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4564,"base":3},"right_expr":{"type":"numeric_atoms","value":1022,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1585,"base":3},"right_expr":{"type":"numeric_atoms","value":1152,"base":3}}}}},"used_operators":["BjRHVeLaeN","9HNa5Wba9A","rxpJgHHUmx","mp7IySMOzn","U7g4x0WXJJ","i8ToyICDmI","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1803","layer":4},{"info":"number node, value=4257","layer":4},{"info":"compute binary expreesion, left_input=1803, right_input=4257, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8514","layer":3},{"info":"number node, value=2031","layer":4},{"info":"number node, value=3148","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=3148, 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=8514, 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=4564","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=4564, 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=1585","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=1152, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2110210⇷⫏≰12211200≭⫏≰2210020∑⇟⊟⫏≰11022121*(⫏≰20021001∑⇟⊟⫏≰1101212∲⫓⫏≰2011201↬⫏≰1120200))⫩⊇=NaN","reverse_text":"NaN=(⫏≰2110210⇷⫏≰12211200≭⫏≰2210020∑⇟⊟⫏≰11022121*(⫏≰20021001∑⇟⊟⫏≰1101212∲⫓⫏≰2011201↬⫏≰1120200))⫩⊇","cot":[{"info":"⫏≰2110210⇷⫏≰12211200=⫏≰102200100","layer":3},{"info":"⫏≰2210020∑⇟⊟⫏≰11022121=NaN","layer":3},{"info":"⫏≰102200100≭NaN=NaN","layer":2},{"info":"⫏≰20021001∑⇟⊟⫏≰1101212=NaN","layer":3},{"info":"⫏≰2011201↬⫏≰1120200=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":468,"expression_no_base_symbol":"(↣≠⋷$2214$)+⇶⊼$2779$≹⇙⪍$1434$⋳⪒(↥$9129$)⇷($4165$⪨≂$3918$)⨁⊸⫻","expression":"(↣≠⋷⫏≰10001000)+⇶⊼⫏≰10210221≹⇙⪍⫏≰1222010⋳⪒(↥⫏≰110112010)⇷(⫏≰12201021⪨≂⫏≰12101010)⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":204,"operation_count":8,"complexity_ratio":25.5,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2214,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2779,"base":3},"right_expr":{"type":"numeric_atoms","value":1434,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":9129,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4165,"base":3},"right_expr":{"type":"numeric_atoms","value":3918,"base":3}}}}},"used_operators":["glklzrTFfD","12rbrZMWeM","TpPTUOHfaN","Asc51vEJeQ","AHs5Up7iyr","mp7IySMOzn","A8NUZmVepG","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2214","layer":4},{"info":"compute unary expreesion, input=2214, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2779","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=2779, right_input=1434, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=9129","layer":4},{"info":"compute unary expreesion, input=9129, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":3},{"info":"number node, value=4165","layer":4},{"info":"number node, value=3918","layer":4},{"info":"compute binary expreesion, left_input=4165, right_input=3918, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=596","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=596, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1192, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↣≠⋷⫏≰10001000)+⇶⊼⫏≰10210221≹⇙⪍⫏≰1222010⋳⪒(↥⫏≰110112010)⇷(⫏≰12201021⪨≂⫏≰12101010)⨁⊸⫻=NaN","reverse_text":"NaN=(↣≠⋷⫏≰10001000)+⇶⊼⫏≰10210221≹⇙⪍⫏≰1222010⋳⪒(↥⫏≰110112010)⇷(⫏≰12201021⪨≂⫏≰12101010)⨁⊸⫻","cot":[{"info":"↣≠⋷⫏≰10001000=NaN","layer":3},{"info":"⫏≰10210221≹⇙⪍⫏≰1222010=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"↥⫏≰110112010=⫏≰0","layer":3},{"info":"⫏≰12201021⪨≂⫏≰12101010=⫏≰211002","layer":3},{"info":"⫏≰0⇷⫏≰211002=⫏≰1122011","layer":2},{"info":"NaN⋳⪒⫏≰1122011=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":469,"expression_no_base_symbol":"($2943$⨟⋌⩍$1433$⋓($1400$⋫)⪄(↣≠⋷($6378$⪨≂$5250$)))⪛((⨈⫕(≤/$6404$))↺($3769$+⇶⊼$2483$)⊴($2952$≎⊠⪸$1164$))","expression":"(⫏≰11001000⨟⋌⩍⫏≰1222002⋓(⫏≰1220212⋫)⪄(↣≠⋷(⫏≰22202020⪨≂⫏≰21012110)))⪛((⨈⫕(≤/⫏≰22210012))↺(⫏≰12011121+⇶⊼⫏≰10101222)⊴(⫏≰11001100≎⊠⪸⫏≰1121010))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":766210,"operation_count":13,"complexity_ratio":58939.230769230766,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2943,"base":3},"right_expr":{"type":"numeric_atoms","value":1433,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1400,"base":3}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6378,"base":3},"right_expr":{"type":"numeric_atoms","value":5250,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6404,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3769,"base":3},"right_expr":{"type":"numeric_atoms","value":2483,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2952,"base":3},"right_expr":{"type":"numeric_atoms","value":1164,"base":3}}}}},"used_operators":["uFcxV4UQCh","SUmda5xLS4","T2fj7uvVaJ","rGHVDoGpnC","JL8yIekQnl","Asc51vEJeQ","sdazOOVcIp","7j4O788W3g","megm06wKyl","eLAdDNolq6","Nsiff2A1zJ","TpPTUOHfaN","bJkvcejdHO"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","tmPS8pqC7x","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2943","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=1433, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1400","layer":4},{"info":"compute unary expreesion, input=1400, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1400","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1400, op_id = T2fj7uvVaJ 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=6378","layer":4},{"info":"number node, value=5250","layer":4},{"info":"compute binary expreesion, left_input=6378, right_input=5250, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2358","layer":3},{"info":"compute unary expreesion, input=2358, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/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":"number node, value=6404","layer":4},{"info":"compute unary expreesion, input=6404, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5920","layer":3},{"info":"compute unary expreesion, input=-5920, 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=3769","layer":4},{"info":"number node, value=2483","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=2483, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2952","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=1164, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=764095","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=764095, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"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":3,"result_base":3,"text":"(⫏≰11001000⨟⋌⩍⫏≰1222002⋓(⫏≰1220212⋫)⪄(↣≠⋷(⫏≰22202020⪨≂⫏≰21012110)))⪛((⨈⫕(≤/⫏≰22210012))↺(⫏≰12011121+⇶⊼⫏≰10101222)⊴(⫏≰11001100≎⊠⪸⫏≰1121010))=NaN","reverse_text":"NaN=(⫏≰11001000⨟⋌⩍⫏≰1222002⋓(⫏≰1220212⋫)⪄(↣≠⋷(⫏≰22202020⪨≂⫏≰21012110)))⪛((⨈⫕(≤/⫏≰22210012))↺(⫏≰12011121+⇶⊼⫏≰10101222)⊴(⫏≰11001100≎⊠⪸⫏≰1121010))","cot":[{"info":"⫏≰11001000⨟⋌⩍⫏≰1222002=NaN","layer":3},{"info":"⫏≰1220212⋫=⫏≰1220212","layer":3},{"info":"NaN⋓⫏≰1220212=⫏≰0","layer":2},{"info":"⫏≰22202020⪨≂⫏≰21012110=⫏≰10020100","layer":3},{"info":"↣≠⋷⫏≰10020100=NaN","layer":2},{"info":"⫏≰0⪄NaN=NaN","layer":1},{"info":"≤/⫏≰22210012=⫏≰-22010021","layer":3},{"info":"⨈⫕⫏≰-22010021=⫏≰-210","layer":2},{"info":"⫏≰12011121+⇶⊼⫏≰10101222=NaN","layer":3},{"info":"⫏≰11001100≎⊠⪸⫏≰1121010=⫏≰1102211010211","layer":3},{"info":"NaN⊴⫏≰1102211010211=NaN","layer":2},{"info":"⫏≰-210↺NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":470,"expression_no_base_symbol":"((↥$1780$)⋥≓≎($4905$⊭∹↮))∑⇟⊟(($5272$⪄$2527$)⪄$4961$≎⊠⪸$1632$)↪⪝","expression":"((↥⫏≰2102221)⋥≓≎(⫏≰20201200⊭∹↮))∑⇟⊟((⫏≰21020021⪄⫏≰10110121)⪄⫏≰20210202≎⊠⪸⫏≰2020110)↪⪝","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":508,"operation_count":8,"complexity_ratio":63.5,"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":1780,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4905,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5272,"base":3},"right_expr":{"type":"numeric_atoms","value":2527,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4961,"base":3},"right_expr":{"type":"numeric_atoms","value":1632,"base":3}}}}},"used_operators":["l07mrZUIn9","U7g4x0WXJJ","Qy55tPpLXF","A8NUZmVepG","xNBdhnnwKq","SUmda5xLS4","bJkvcejdHO"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1780","layer":4},{"info":"compute unary expreesion, input=1780, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=46","layer":3},{"info":"number node, value=4905","layer":4},{"info":"compute unary expreesion, input=4905, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9810","layer":3},{"info":"compute binary expreesion, left_input=46, right_input=9810, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=19607","layer":2},{"info":"number node, value=5272","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=5272, right_input=2527, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-786453","layer":3},{"info":"number node, value=4961","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=4961, right_input=1632, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1284426","layer":3},{"info":"compute binary expreesion, left_input=-786453, right_input=1284426, 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=19607, right_input=3979, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↥⫏≰2102221)⋥≓≎(⫏≰20201200⊭∹↮))∑⇟⊟((⫏≰21020021⪄⫏≰10110121)⪄⫏≰20210202≎⊠⪸⫏≰2020110)↪⪝=NaN","reverse_text":"NaN=((↥⫏≰2102221)⋥≓≎(⫏≰20201200⊭∹↮))∑⇟⊟((⫏≰21020021⪄⫏≰10110121)⪄⫏≰20210202≎⊠⪸⫏≰2020110)↪⪝","cot":[{"info":"↥⫏≰2102221=⫏≰1201","layer":3},{"info":"⫏≰20201200⊭∹↮=⫏≰111110100","layer":3},{"info":"⫏≰1201⋥≓≎⫏≰111110100=⫏≰222220012","layer":2},{"info":"⫏≰21020021⪄⫏≰10110121=⫏≰-1110221210220","layer":3},{"info":"⫏≰20210202≎⊠⪸⫏≰2020110=⫏≰2102020220100","layer":3},{"info":"⫏≰-1110221210220⪄⫏≰2102020220100=⫏≰12110101","layer":2},{"info":"⫏≰222220012∑⇟⊟⫏≰12110101=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":471,"expression_no_base_symbol":"(⋗⩬⋾(↔$2557$)∑⇟⊟$1600$≹⇙⪍$5454$)⫸⊐(($2187$⋓$3261$)⪢$7226$⊴$3795$⊪)","expression":"(⋗⩬⋾(↔⫏≰10111201)∑⇟⊟⫏≰2012021≹⇙⪍⫏≰21111000)⫸⊐((⫏≰10000000⋓⫏≰11110210)⪢⫏≰100220122⊴⫏≰12012120⊪)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8147,"operation_count":9,"complexity_ratio":905.2222222222222,"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":2557,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1600,"base":3},"right_expr":{"type":"numeric_atoms","value":5454,"base":3}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2187,"base":3},"right_expr":{"type":"numeric_atoms","value":3261,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7226,"base":3},"right_expr":{"type":"numeric_atoms","value":3795,"base":3}}}}},"used_operators":["mqXw5SEYmG","DpFCA1CohY","U7g4x0WXJJ","ruOEQAzv1W","AHs5Up7iyr","zVYPLywUTj","dWAJyo7jo9","T2fj7uvVaJ","Nsiff2A1zJ"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2557","layer":4},{"info":"compute unary expreesion, input=2557, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2284","layer":3},{"info":"number node, value=1600","layer":4},{"info":"number node, value=5454","layer":4},{"info":"compute binary expreesion, left_input=1600, right_input=5454, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-2284, 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 = 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=2187","layer":4},{"info":"number node, value=3261","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=3261, op_id = T2fj7uvVaJ 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=7226","layer":4},{"info":"number node, value=3795","layer":4},{"info":"compute binary expreesion, left_input=7226, right_input=3795, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = 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":3,"result_base":3,"text":"(⋗⩬⋾(↔⫏≰10111201)∑⇟⊟⫏≰2012021≹⇙⪍⫏≰21111000)⫸⊐((⫏≰10000000⋓⫏≰11110210)⪢⫏≰100220122⊴⫏≰12012120⊪)=NaN","reverse_text":"NaN=(⋗⩬⋾(↔⫏≰10111201)∑⇟⊟⫏≰2012021≹⇙⪍⫏≰21111000)⫸⊐((⫏≰10000000⋓⫏≰11110210)⪢⫏≰100220122⊴⫏≰12012120⊪)","cot":[{"info":"↔⫏≰10111201=⫏≰-10010121","layer":3},{"info":"⫏≰2012021≹⇙⪍⫏≰21111000=NaN","layer":3},{"info":"⫏≰-10010121∑⇟⊟NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⫏≰10000000⋓⫏≰11110210=⫏≰0","layer":3},{"info":"⫏≰100220122⊴⫏≰12012120=NaN","layer":3},{"info":"⫏≰0⪢NaN=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":472,"expression_no_base_symbol":"(⨵≀≌$2503$+⇶⊼$6399$⋳⪒$1319$⋝⋈⪟$2132$)+(⫓⪴(($4982$⫸⊐$2681$)+⇶⊼($4090$⪄$2843$)))","expression":"(⨵≀≌⫏≰10102201+⇶⊼⫏≰22210000⋳⪒⫏≰1210212⋝⋈⪟⫏≰2220222)+(⫓⪴((⫏≰20211112⫸⊐⫏≰10200022)+⇶⊼(⫏≰12121111⪄⫏≰10220022)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":136,"operation_count":9,"complexity_ratio":15.11111111111111,"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":2503,"base":3},"right_expr":{"type":"numeric_atoms","value":6399,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1319,"base":3},"right_expr":{"type":"numeric_atoms","value":2132,"base":3}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4982,"base":3},"right_expr":{"type":"numeric_atoms","value":2681,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4090,"base":3},"right_expr":{"type":"numeric_atoms","value":2843,"base":3}}}}},"used_operators":["W4YGzv6Whe","srAu1WTS94","12rbrZMWeM","TpPTUOHfaN","2DDjHMKMc0","eLxqMNBOBk","mqXw5SEYmG","SUmda5xLS4"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2503","layer":4},{"info":"number node, value=6399","layer":4},{"info":"compute binary expreesion, left_input=2503, right_input=6399, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1319","layer":4},{"info":"number node, value=2132","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=2132, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1319","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1319, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"number node, value=4982","layer":4},{"info":"number node, value=2681","layer":4},{"info":"compute binary expreesion, left_input=4982, right_input=2681, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10599","layer":3},{"info":"number node, value=4090","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=4090, right_input=2843, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-612781","layer":3},{"info":"compute binary expreesion, left_input=10599, right_input=-612781, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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":3,"result_base":3,"text":"(⨵≀≌⫏≰10102201+⇶⊼⫏≰22210000⋳⪒⫏≰1210212⋝⋈⪟⫏≰2220222)+(⫓⪴((⫏≰20211112⫸⊐⫏≰10200022)+⇶⊼(⫏≰12121111⪄⫏≰10220022)))=NaN","reverse_text":"NaN=(⨵≀≌⫏≰10102201+⇶⊼⫏≰22210000⋳⪒⫏≰1210212⋝⋈⪟⫏≰2220222)+(⫓⪴((⫏≰20211112⫸⊐⫏≰10200022)+⇶⊼(⫏≰12121111⪄⫏≰10220022)))","cot":[{"info":"⫏≰10102201+⇶⊼⫏≰22210000=NaN","layer":3},{"info":"⫏≰1210212⋝⋈⪟⫏≰2220222=⫏≰1210212","layer":3},{"info":"NaN⋳⪒⫏≰1210212=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⫏≰20211112⫸⊐⫏≰10200022=⫏≰112112120","layer":3},{"info":"⫏≰12121111⪄⫏≰10220022=⫏≰-1011010120121","layer":3},{"info":"⫏≰112112120+⇶⊼⫏≰-1011010120121=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":473,"expression_no_base_symbol":"((-$2649$)⨁⊸⫻)⋓($2853$⋷$1559$⋷$9553$∼$1026$)*((↣≠⋷($1377$⋥≓≎$1317$))⇋≉)","expression":"((-⫏≰10122010)⨁⊸⫻)⋓(⫏≰10220200⋷⫏≰2010202⋷⫏≰111002211∼⫏≰1102000)*((↣≠⋷(⫏≰1220000⋥≓≎⫏≰1210210))⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":222,"operation_count":10,"complexity_ratio":22.2,"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":2649,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2853,"base":3},"right_expr":{"type":"numeric_atoms","value":1559,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":9553,"base":3},"right_expr":{"type":"numeric_atoms","value":1026,"base":3}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1377,"base":3},"right_expr":{"type":"numeric_atoms","value":1317,"base":3}}}}},"used_operators":["9HNa5Wba9A","T2fj7uvVaJ","glklzrTFfD","t8gj7n24qd","23Mk6UjR3U","DyGG3AbaNP","XIabStNQrY","Asc51vEJeQ","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2649","layer":4},{"info":"compute unary expreesion, input=2649, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2649","layer":3},{"info":"compute unary expreesion, input=-2649, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-5298","layer":2},{"info":"number node, value=2853","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=2853, right_input=1559, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=265","layer":3},{"info":"number node, value=9553","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=9553, right_input=1026, 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=265, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-530","layer":2},{"info":"compute binary expreesion, left_input=-5298, right_input=-530, op_id = T2fj7uvVaJ 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=1377","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=1317, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1290","layer":3},{"info":"compute unary expreesion, input=1290, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((-⫏≰10122010)⨁⊸⫻)⋓(⫏≰10220200⋷⫏≰2010202⋷⫏≰111002211∼⫏≰1102000)*((↣≠⋷(⫏≰1220000⋥≓≎⫏≰1210210))⇋≉)=NaN","reverse_text":"NaN=((-⫏≰10122010)⨁⊸⫻)⋓(⫏≰10220200⋷⫏≰2010202⋷⫏≰111002211∼⫏≰1102000)*((↣≠⋷(⫏≰1220000⋥≓≎⫏≰1210210))⇋≉)","cot":[{"info":"-⫏≰10122010=⫏≰-10122010","layer":3},{"info":"⫏≰-10122010⨁⊸⫻=⫏≰-21021020","layer":2},{"info":"⫏≰10220200⋷⫏≰2010202=⫏≰100211","layer":3},{"info":"⫏≰111002211∼⫏≰1102000=NaN","layer":3},{"info":"⫏≰100211⋷NaN=⫏≰-201122","layer":2},{"info":"⫏≰-21021020⋓⫏≰-201122=⫏≰0","layer":1},{"info":"⫏≰1220000⋥≓≎⫏≰1210210=⫏≰1202210","layer":3},{"info":"↣≠⋷⫏≰1202210=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⫏≰0*NaN=NaN","layer":0}]}
{"id":474,"expression_no_base_symbol":"⨑⩽⪐($7012$⨐⩸⫘$8137$↺$1378$≭$1168$⨳⩥⨓(⊙↵-($1056$⨳⩥⨓$6311$)))","expression":"⨑⩽⪐(⫏≰100121201⨐⩸⫘⫏≰102011101↺⫏≰1220001≭⫏≰1121021⨳⩥⨓(⊙↵-(⫏≰1110010⨳⩥⨓⫏≰22122202)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5318,"operation_count":7,"complexity_ratio":759.7142857142857,"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":7012,"base":3},"right_expr":{"type":"numeric_atoms","value":8137,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1378,"base":3},"right_expr":{"type":"numeric_atoms","value":1168,"base":3}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1056,"base":3},"right_expr":{"type":"numeric_atoms","value":6311,"base":3}}}}},"used_operators":["AF7qkfDlqP","nCS4ZIUYfx","7j4O788W3g","fu6greOZ01","rxpJgHHUmx","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=7012","layer":4},{"info":"number node, value=8137","layer":4},{"info":"compute binary expreesion, left_input=7012, right_input=8137, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1378","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=1168, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":"number node, value=1056","layer":4},{"info":"number node, value=6311","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=6311, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5255","layer":3},{"info":"compute unary expreesion, input=5255, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨑⩽⪐(⫏≰100121201⨐⩸⫘⫏≰102011101↺⫏≰1220001≭⫏≰1121021⨳⩥⨓(⊙↵-(⫏≰1110010⨳⩥⨓⫏≰22122202)))=NaN","reverse_text":"NaN=⨑⩽⪐(⫏≰100121201⨐⩸⫘⫏≰102011101↺⫏≰1220001≭⫏≰1121021⨳⩥⨓(⊙↵-(⫏≰1110010⨳⩥⨓⫏≰22122202)))","cot":[{"info":"⫏≰100121201⨐⩸⫘⫏≰102011101=NaN","layer":3},{"info":"⫏≰1220001≭⫏≰1121021=NaN","layer":3},{"info":"NaN↺NaN=NaN","layer":2},{"info":"⫏≰1110010⨳⩥⨓⫏≰22122202=⫏≰21012122","layer":3},{"info":"⊙↵-⫏≰21012122=⫏≰-1","layer":2},{"info":"NaN⨳⩥⨓⫏≰-1=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":475,"expression_no_base_symbol":"↯⪼(-(($1252$⪐)⪨≂$2597$∲⫓$3947$))","expression":"↯⪼(-((⫏≰1201101⪐)⪨≂⫏≰10120012∲⫓⫏≰12102012))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":23,"operation_count":5,"complexity_ratio":4.6,"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":1252,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2597,"base":3},"right_expr":{"type":"numeric_atoms","value":3947,"base":3}}}}},"used_operators":["8jW3W4yZS5","t8gj7n24qd","sdazOOVcIp","eH2TOUuTDT","i8ToyICDmI"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰110202120","longer_result_info":{"target_base":3,"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=2597","layer":4},{"info":"number node, value=3947","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=3947, 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=2504, 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=5110","layer":2},{"info":"compute unary expreesion, input=5110, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5110","layer":1},{"info":"compute unary expreesion, input=-5110, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=9303","layer":0}],"base":3,"result_base":3,"text":"↯⪼(-((⫏≰1201101⪐)⪨≂⫏≰10120012∲⫓⫏≰12102012))=⫏≰110202120","reverse_text":"⫏≰110202120=↯⪼(-((⫏≰1201101⪐)⪨≂⫏≰10120012∲⫓⫏≰12102012))","cot":[{"info":"⫏≰1201101⪐=⫏≰10102202","layer":3},{"info":"⫏≰10120012∲⫓⫏≰12102012=⫏≰0","layer":3},{"info":"⫏≰10102202⪨≂⫏≰0=⫏≰21000021","layer":2},{"info":"-⫏≰21000021=⫏≰-21000021","layer":1},{"info":"↯⪼⫏≰-21000021=⫏≰110202120","layer":0}]}
{"id":476,"expression_no_base_symbol":"≦∁($1176$≹⇙⪍$6995$⇼⇔∾$3866$≎⊠⪸$1435$)⋳⪒($2469$⨽$7140$/$4597$⩨$7931$)","expression":"≦∁(⫏≰1121120≹⇙⪍⫏≰100121002⇼⇔∾⫏≰12022012≎⊠⪸⫏≰1222011)⋳⪒(⫏≰10101110⨽⫏≰100210110/⫏≰20022021⩨⫏≰101212202)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6105426,"operation_count":8,"complexity_ratio":763178.25,"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":1176,"base":3},"right_expr":{"type":"numeric_atoms","value":6995,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3866,"base":3},"right_expr":{"type":"numeric_atoms","value":1435,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2469,"base":3},"right_expr":{"type":"numeric_atoms","value":7140,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4597,"base":3},"right_expr":{"type":"numeric_atoms","value":7931,"base":3}}}}},"used_operators":["9ICcGScMcE","12rbrZMWeM","tifHPKVTfV","AHs5Up7iyr","bJkvcejdHO","XhwjNDsVaA","8HhzD0ZcuI","2DlMacCsIx"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":4},{"info":"number node, value=6995","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=6995, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3866","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=3866, right_input=1435, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1000821","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1000821, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=2469","layer":4},{"info":"number node, value=7140","layer":4},{"info":"compute binary expreesion, left_input=2469, right_input=7140, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18307989","layer":3},{"info":"number node, value=4597","layer":4},{"info":"number node, value=7931","layer":4},{"info":"compute binary expreesion, left_input=4597, right_input=7931, 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=-18307989, right_input=-3, op_id = XhwjNDsVaA binary_op_definition= 'None', output=6102663","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6102663, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"≦∁(⫏≰1121120≹⇙⪍⫏≰100121002⇼⇔∾⫏≰12022012≎⊠⪸⫏≰1222011)⋳⪒(⫏≰10101110⨽⫏≰100210110/⫏≰20022021⩨⫏≰101212202)=NaN","reverse_text":"NaN=≦∁(⫏≰1121120≹⇙⪍⫏≰100121002⇼⇔∾⫏≰12022012≎⊠⪸⫏≰1222011)⋳⪒(⫏≰10101110⨽⫏≰100210110/⫏≰20022021⩨⫏≰101212202)","cot":[{"info":"⫏≰1121120≹⇙⪍⫏≰100121002=NaN","layer":3},{"info":"⫏≰12022012≎⊠⪸⫏≰1222011=⫏≰1212211212110","layer":3},{"info":"NaN⇼⇔∾⫏≰1212211212110=NaN","layer":2},{"info":"⫏≰10101110⨽⫏≰100210110=⫏≰-1021110010211200","layer":3},{"info":"⫏≰20022021⩨⫏≰101212202=⫏≰-10","layer":3},{"info":"⫏≰-1021110010211200/⫏≰-10=⫏≰102111001021120","layer":2},{"info":"NaN⋳⪒⫏≰102111001021120=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":477,"expression_no_base_symbol":"(($2910$⩷∴$4091$⇼⇔∾($1688$/$1500$))⪄($2823$⪄$1433$)↙$1478$∼$1432$)⨪↰⇹((($2981$%$6785$)≭$4557$⩷∴$2307$)≧⫂∧($1698$∼$3675$⪨≂(+⊝⨔$3061$)))","expression":"((⫏≰10222210⩷∴⫏≰12121112⇼⇔∾(⫏≰2022112/⫏≰2001120))⪄(⫏≰10212120⪄⫏≰1222002)↙⫏≰2000202∼⫏≰1222001)⨪↰⇹(((⫏≰11002102%⫏≰100022022)≭⫏≰20020210⩷∴⫏≰10011110)≧⫂∧(⫏≰2022220∼⫏≰12001010⪨≂(+⊝⨔⫏≰11012101)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":319,"operation_count":15,"complexity_ratio":21.266666666666666,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2910,"base":3},"right_expr":{"type":"numeric_atoms","value":4091,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1688,"base":3},"right_expr":{"type":"numeric_atoms","value":1500,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2823,"base":3},"right_expr":{"type":"numeric_atoms","value":1433,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1478,"base":3},"right_expr":{"type":"numeric_atoms","value":1432,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2981,"base":3},"right_expr":{"type":"numeric_atoms","value":6785,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4557,"base":3},"right_expr":{"type":"numeric_atoms","value":2307,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1698,"base":3},"right_expr":{"type":"numeric_atoms","value":3675,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3061,"base":3}}}}},"used_operators":["tmPS8pqC7x","SUmda5xLS4","tifHPKVTfV","9FxExcQeMw","XhwjNDsVaA","yyfyN0ffXY","DyGG3AbaNP","Ph9nP6C5qx","rxpJgHHUmx","k8jYdgA6NY","sdazOOVcIp","DhbWaqg5eL"],"dependent_operators":["rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2910","layer":4},{"info":"number node, value=4091","layer":4},{"info":"compute binary expreesion, left_input=2910, right_input=4091, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2394","layer":3},{"info":"number node, value=1688","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=1500, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-2394, right_input=1, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2395","layer":2},{"info":"number node, value=2823","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=1433, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-419625","layer":3},{"info":"number node, value=1478","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=1432, 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=-419625, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-419625","layer":2},{"info":"compute binary expreesion, left_input=2395, right_input=-419625, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=1327951","layer":1},{"info":"number node, value=2981","layer":4},{"info":"number node, value=6785","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=6785, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2981","layer":3},{"info":"number node, value=4557","layer":4},{"info":"number node, value=2307","layer":4},{"info":"compute binary expreesion, left_input=4557, right_input=2307, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4468","layer":3},{"info":"compute binary expreesion, left_input=2981, right_input=4468, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1698","layer":4},{"info":"number node, value=3675","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=3675, 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=3061","layer":4},{"info":"compute unary expreesion, input=3061, 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 = 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1327951, 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":3,"result_base":3,"text":"((⫏≰10222210⩷∴⫏≰12121112⇼⇔∾(⫏≰2022112/⫏≰2001120))⪄(⫏≰10212120⪄⫏≰1222002)↙⫏≰2000202∼⫏≰1222001)⨪↰⇹(((⫏≰11002102%⫏≰100022022)≭⫏≰20020210⩷∴⫏≰10011110)≧⫂∧(⫏≰2022220∼⫏≰12001010⪨≂(+⊝⨔⫏≰11012101)))=NaN","reverse_text":"NaN=((⫏≰10222210⩷∴⫏≰12121112⇼⇔∾(⫏≰2022112/⫏≰2001120))⪄(⫏≰10212120⪄⫏≰1222002)↙⫏≰2000202∼⫏≰1222001)⨪↰⇹(((⫏≰11002102%⫏≰100022022)≭⫏≰20020210⩷∴⫏≰10011110)≧⫂∧(⫏≰2022220∼⫏≰12001010⪨≂(+⊝⨔⫏≰11012101)))","cot":[{"info":"⫏≰10222210⩷∴⫏≰12121112=⫏≰-10021200","layer":3},{"info":"⫏≰2022112/⫏≰2001120=⫏≰1","layer":3},{"info":"⫏≰-10021200⇼⇔∾⫏≰1=⫏≰10021201","layer":2},{"info":"⫏≰10212120⪄⫏≰1222002=⫏≰-210022121200","layer":3},{"info":"⫏≰2000202∼⫏≰1222001=NaN","layer":3},{"info":"⫏≰-210022121200↙NaN=⫏≰-210022121200","layer":2},{"info":"⫏≰10021201⪄⫏≰-210022121200=⫏≰2111110121101","layer":1},{"info":"⫏≰11002102%⫏≰100022022=⫏≰11002102","layer":3},{"info":"⫏≰20020210⩷∴⫏≰10011110=⫏≰20010111","layer":3},{"info":"⫏≰11002102≭⫏≰20010111=NaN","layer":2},{"info":"⫏≰2022220∼⫏≰12001010=NaN","layer":3},{"info":"+⊝⨔⫏≰11012101=⫏≰2002101","layer":3},{"info":"NaN⪨≂⫏≰2002101=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⫏≰2111110121101⨪↰⇹NaN=NaN","layer":0}]}
{"id":478,"expression_no_base_symbol":"(⇁⨣⪵$2169$≎⊠⪸$7545$)⨽(↥(⊄⩳↩$1980$))*((⫓⪴($8375$⫸⊐$1502$))∲⫓$3327$∑⇟⊟$2815$⨰$3438$⪮%⊝$3000$)","expression":"(⇁⨣⪵⫏≰2222100≎⊠⪸⫏≰101100110)⨽(↥(⊄⩳↩⫏≰2201100))*((⫓⪴(⫏≰102111012⫸⊐⫏≰2001122))∲⫓⫏≰11120020∑⇟⊟⫏≰10212021⨰⫏≰11201100⪮%⊝⫏≰11010010)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6326,"operation_count":12,"complexity_ratio":527.1666666666666,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2169,"base":3},"right_expr":{"type":"numeric_atoms","value":7545,"base":3}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1980,"base":3}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":8375,"base":3},"right_expr":{"type":"numeric_atoms","value":1502,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3327,"base":3},"right_expr":{"type":"numeric_atoms","value":2815,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3438,"base":3},"right_expr":{"type":"numeric_atoms","value":3000,"base":3}}}}},"used_operators":["9HNa5Wba9A","8HhzD0ZcuI","inkyxCbjAn","bJkvcejdHO","A8NUZmVepG","8w2t5hMYqp","i8ToyICDmI","eLxqMNBOBk","mqXw5SEYmG","eewbuw0ToL","U7g4x0WXJJ","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2169","layer":4},{"info":"number node, value=7545","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=7545, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=561298","layer":3},{"info":"compute unary expreesion, input=561298, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1980","layer":4},{"info":"compute unary expreesion, input=1980, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5940","layer":3},{"info":"compute unary expreesion, input=-5940, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=27","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=27, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=8375","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=8375, right_input=1502, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5883","layer":3},{"info":"compute unary expreesion, input=5883, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=34609689","layer":2},{"info":"number node, value=3327","layer":4},{"info":"number node, value=2815","layer":4},{"info":"compute binary expreesion, left_input=3327, right_input=2815, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3438","layer":4},{"info":"number node, value=3000","layer":4},{"info":"compute binary expreesion, left_input=3438, right_input=3000, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7192","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7192, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=34609689, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇁⨣⪵⫏≰2222100≎⊠⪸⫏≰101100110)⨽(↥(⊄⩳↩⫏≰2201100))*((⫓⪴(⫏≰102111012⫸⊐⫏≰2001122))∲⫓⫏≰11120020∑⇟⊟⫏≰10212021⨰⫏≰11201100⪮%⊝⫏≰11010010)=NaN","reverse_text":"NaN=(⇁⨣⪵⫏≰2222100≎⊠⪸⫏≰101100110)⨽(↥(⊄⩳↩⫏≰2201100))*((⫓⪴(⫏≰102111012⫸⊐⫏≰2001122))∲⫓⫏≰11120020∑⇟⊟⫏≰10212021⨰⫏≰11201100⪮%⊝⫏≰11010010)","cot":[{"info":"⫏≰2222100≎⊠⪸⫏≰101100110=⫏≰1001111221211","layer":3},{"info":"⇁⨣⪵⫏≰1001111221211=NaN","layer":2},{"info":"⊄⩳↩⫏≰2201100=⫏≰-22011000","layer":3},{"info":"↥⫏≰-22011000=⫏≰1000","layer":2},{"info":"NaN⨽⫏≰1000=NaN","layer":1},{"info":"⫏≰102111012⫸⊐⫏≰2001122=⫏≰22001220","layer":3},{"info":"⫓⪴⫏≰22001220=⫏≰2102010100120100","layer":2},{"info":"⫏≰11120020∑⇟⊟⫏≰10212021=NaN","layer":3},{"info":"⫏≰11201100⪮%⊝⫏≰11010010=⫏≰100212101","layer":3},{"info":"NaN⨰⫏≰100212101=NaN","layer":2},{"info":"⫏≰2102010100120100∲⫓NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":479,"expression_no_base_symbol":"((⨵≀≌$1968$)∼($5043$⩨$4647$))⪢($2985$⪘⫢$1841$⨽$3495$⫥∨⫟$2180$)⊭↱(⨞⊢($6321$≎⊠⪸$1313$)⨪↰⇹($3631$⫸⊐$2920$))","expression":"((⨵≀≌⫏≰2200220)∼(⫏≰20220210⩨⫏≰20101010))⪢(⫏≰11002120⪘⫢⫏≰2112012⨽⫏≰11210110⫥∨⫟⫏≰2222202)⊭↱(⨞⊢(⫏≰22200010≎⊠⪸⫏≰1210122)⨪↰⇹(⫏≰11222111⫸⊐⫏≰11000011))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6471,"operation_count":12,"complexity_ratio":539.25,"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":1968,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5043,"base":3},"right_expr":{"type":"numeric_atoms","value":4647,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2985,"base":3},"right_expr":{"type":"numeric_atoms","value":1841,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3495,"base":3},"right_expr":{"type":"numeric_atoms","value":2180,"base":3}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6321,"base":3},"right_expr":{"type":"numeric_atoms","value":1313,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3631,"base":3},"right_expr":{"type":"numeric_atoms","value":2920,"base":3}}}}},"used_operators":["COABgblf1C","dWAJyo7jo9","DyGG3AbaNP","srAu1WTS94","2DlMacCsIx","8HhzD0ZcuI","oacrs7FA3X","KYD54nUTWz","xUOZtlo3hN","tmPS8pqC7x","bJkvcejdHO","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1968","layer":4},{"info":"compute unary expreesion, input=1968, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5904","layer":3},{"info":"number node, value=5043","layer":4},{"info":"number node, value=4647","layer":4},{"info":"compute binary expreesion, left_input=5043, right_input=4647, 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=-5904, 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=2985","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=2985, right_input=1841, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5846","layer":3},{"info":"number node, value=3495","layer":4},{"info":"number node, value=2180","layer":4},{"info":"compute binary expreesion, left_input=3495, right_input=2180, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5846, 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=20, 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=6321","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=6321, right_input=1313, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1636666","layer":3},{"info":"number node, value=3631","layer":4},{"info":"number node, value=2920","layer":4},{"info":"compute binary expreesion, left_input=3631, right_input=2920, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11555","layer":3},{"info":"compute binary expreesion, left_input=1636666, right_input=11555, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', 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":3,"result_base":3,"text":"((⨵≀≌⫏≰2200220)∼(⫏≰20220210⩨⫏≰20101010))⪢(⫏≰11002120⪘⫢⫏≰2112012⨽⫏≰11210110⫥∨⫟⫏≰2222202)⊭↱(⨞⊢(⫏≰22200010≎⊠⪸⫏≰1210122)⨪↰⇹(⫏≰11222111⫸⊐⫏≰11000011))=NaN","reverse_text":"NaN=((⨵≀≌⫏≰2200220)∼(⫏≰20220210⩨⫏≰20101010))⪢(⫏≰11002120⪘⫢⫏≰2112012⨽⫏≰11210110⫥∨⫟⫏≰2222202)⊭↱(⨞⊢(⫏≰22200010≎⊠⪸⫏≰1210122)⨪↰⇹(⫏≰11222111⫸⊐⫏≰11000011))","cot":[{"info":"⨵≀≌⫏≰2200220=⫏≰-22002200","layer":3},{"info":"⫏≰20220210⩨⫏≰20101010=⫏≰0","layer":3},{"info":"⫏≰-22002200∼⫏≰0=⫏≰202","layer":2},{"info":"⫏≰11002120⪘⫢⫏≰2112012=⫏≰22000112","layer":3},{"info":"⫏≰11210110⫥∨⫟⫏≰2222202=NaN","layer":3},{"info":"⫏≰22000112⨽NaN=NaN","layer":2},{"info":"⫏≰202⪢NaN=NaN","layer":1},{"info":"⫏≰22200010≎⊠⪸⫏≰1210122=⫏≰10002011002021","layer":3},{"info":"⫏≰11222111⫸⊐⫏≰11000011=⫏≰120211222","layer":3},{"info":"⫏≰10002011002021⨪↰⇹⫏≰120211222=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":480,"expression_no_base_symbol":"(($2876$⋫)⩨($1723$⪒$2855$)⊉≛↸((⨈⫕$1811$)*$2648$⨐⩸⫘$4030$))⪘⫢(⊥(⊙↵-$1588$⪮%⊝$2390$))","expression":"((⫏≰10221112⋫)⩨(⫏≰2100211⪒⫏≰10220202)⊉≛↸((⨈⫕⫏≰2111002)*⫏≰10122002⨐⩸⫘⫏≰12112021))⪘⫢(⊥(⊙↵-⫏≰2011211⪮%⊝⫏≰10021112))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6836,"operation_count":11,"complexity_ratio":621.4545454545455,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2876,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1723,"base":3},"right_expr":{"type":"numeric_atoms","value":2855,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1811,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2648,"base":3},"right_expr":{"type":"numeric_atoms","value":4030,"base":3}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1588,"base":3},"right_expr":{"type":"numeric_atoms","value":2390,"base":3}}}}},"used_operators":["oacrs7FA3X","DZ8iAZOCBD","2DlMacCsIx","JL8yIekQnl","f6k1SAg4EE","9HNa5Wba9A","megm06wKyl","fu6greOZ01","Q3PJZHRvZv","oWn0xqSxBt","IWmyXbctLI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","3ViojmjbAp","fu6greOZ01","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2876","layer":4},{"info":"compute unary expreesion, input=2876, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2876","layer":3},{"info":"number node, value=1723","layer":4},{"info":"number node, value=2855","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=2855, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4578","layer":3},{"info":"compute binary expreesion, left_input=2876, right_input=-4578, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":2},{"info":"number node, value=1811","layer":4},{"info":"compute unary expreesion, input=1811, 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=2648","layer":4},{"info":"number node, value=4030","layer":4},{"info":"compute binary expreesion, left_input=2648, right_input=4030, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12","layer":1},{"info":"number node, value=1588","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=2390, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3492","layer":3},{"info":"compute unary expreesion, input=3492, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=4","layer":1},{"info":"compute binary expreesion, left_input=12, right_input=4, 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":3,"result_base":3,"text":"((⫏≰10221112⋫)⩨(⫏≰2100211⪒⫏≰10220202)⊉≛↸((⨈⫕⫏≰2111002)*⫏≰10122002⨐⩸⫘⫏≰12112021))⪘⫢(⊥(⊙↵-⫏≰2011211⪮%⊝⫏≰10021112))=⫏≰0","reverse_text":"⫏≰0=((⫏≰10221112⋫)⩨(⫏≰2100211⪒⫏≰10220202)⊉≛↸((⨈⫕⫏≰2111002)*⫏≰10122002⨐⩸⫘⫏≰12112021))⪘⫢(⊥(⊙↵-⫏≰2011211⪮%⊝⫏≰10021112))","cot":[{"info":"⫏≰10221112⋫=⫏≰10221112","layer":3},{"info":"⫏≰2100211⪒⫏≰10220202=⫏≰-20021120","layer":3},{"info":"⫏≰10221112⩨⫏≰-20021120=⫏≰20","layer":2},{"info":"⨈⫕⫏≰2111002=⫏≰-210","layer":3},{"info":"⫏≰10122002⨐⩸⫘⫏≰12112021=NaN","layer":3},{"info":"⫏≰-210*NaN=NaN","layer":2},{"info":"⫏≰20⊉≛↸NaN=⫏≰110","layer":1},{"info":"⫏≰2011211⪮%⊝⫏≰10021112=⫏≰11210100","layer":3},{"info":"⊙↵-⫏≰11210100=⫏≰-1","layer":2},{"info":"⊥⫏≰-1=⫏≰11","layer":1},{"info":"⫏≰110⪘⫢⫏≰11=⫏≰0","layer":0}]}
{"id":481,"expression_no_base_symbol":"≦∁(((⨞⊢$1273$)⩤)+(≤/$1165$⪢$1464$))","expression":"≦∁(((⨞⊢⫏≰1202011)⩤)+(≤/⫏≰1121011⪢⫏≰2000020))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1470,"operation_count":6,"complexity_ratio":245.0,"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":1273,"base":3}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1165,"base":3},"right_expr":{"type":"numeric_atoms","value":1464,"base":3}}}}},"used_operators":["9ICcGScMcE","W4YGzv6Whe","Z2TMIBDE3Q","xUOZtlo3hN","eLAdDNolq6","dWAJyo7jo9"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1273","layer":4},{"info":"compute unary expreesion, input=1273, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1447","layer":3},{"info":"compute unary expreesion, input=-1447, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1447","layer":2},{"info":"number node, value=1165","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=1464, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1447, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":3,"result_base":3,"text":"≦∁(((⨞⊢⫏≰1202011)⩤)+(≤/⫏≰1121011⪢⫏≰2000020))=NaN","reverse_text":"NaN=≦∁(((⨞⊢⫏≰1202011)⩤)+(≤/⫏≰1121011⪢⫏≰2000020))","cot":[{"info":"⨞⊢⫏≰1202011=⫏≰-1222121","layer":3},{"info":"⫏≰-1222121⩤=⫏≰1222121","layer":2},{"info":"⫏≰1121011⪢⫏≰2000020=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⫏≰1222121+NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":482,"expression_no_base_symbol":"($1023$⨰$1250$⋷($6691$+$5629$))⋝⋈⪟($1408$⋳⪒$7837$)↬$7354$⪮%⊝$3808$≧⫂∧((↯⪼$1413$)⨸⪁($1617$⨵⪆$3410$)↛⩡⫤)","expression":"(⫏≰1101220⨰⫏≰1201022⋷(⫏≰100011211+⫏≰21201111))⋝⋈⪟(⫏≰1221011⋳⪒⫏≰101202021)↬⫏≰101002101⪮%⊝⫏≰12020001≧⫂∧((↯⪼⫏≰1221100)⨸⪁(⫏≰2012220⨵⪆⫏≰11200022)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1034,"operation_count":12,"complexity_ratio":86.16666666666667,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1023,"base":3},"right_expr":{"type":"numeric_atoms","value":1250,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6691,"base":3},"right_expr":{"type":"numeric_atoms","value":5629,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1408,"base":3},"right_expr":{"type":"numeric_atoms","value":7837,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7354,"base":3},"right_expr":{"type":"numeric_atoms","value":3808,"base":3}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1413,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1617,"base":3},"right_expr":{"type":"numeric_atoms","value":3410,"base":3}}}}},"used_operators":["Ph9nP6C5qx","2DDjHMKMc0","23Mk6UjR3U","eewbuw0ToL","W4YGzv6Whe","B5M0gjZbta","12rbrZMWeM","IWmyXbctLI","FU0Cs4j7VP","g55IO6H4Gj","8jW3W4yZS5","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1023","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=1250, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-217","layer":3},{"info":"number node, value=6691","layer":4},{"info":"number node, value=5629","layer":4},{"info":"compute binary expreesion, left_input=6691, right_input=5629, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12320","layer":3},{"info":"compute binary expreesion, left_input=-217, right_input=12320, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=434","layer":2},{"info":"number node, value=1408","layer":4},{"info":"number node, value=7837","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=7837, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-5308","layer":3},{"info":"number node, value=7354","layer":4},{"info":"number node, value=3808","layer":4},{"info":"compute binary expreesion, left_input=7354, right_input=3808, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15024","layer":3},{"info":"compute binary expreesion, left_input=-5308, right_input=15024, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=434, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1413","layer":4},{"info":"compute unary expreesion, input=1413, 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=1617","layer":4},{"info":"number node, value=3410","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=3410, 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=-21, right_input=160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=278","layer":2},{"info":"compute unary expreesion, input=278, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-38067","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-38067, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1101220⨰⫏≰1201022⋷(⫏≰100011211+⫏≰21201111))⋝⋈⪟(⫏≰1221011⋳⪒⫏≰101202021)↬⫏≰101002101⪮%⊝⫏≰12020001≧⫂∧((↯⪼⫏≰1221100)⨸⪁(⫏≰2012220⨵⪆⫏≰11200022)↛⩡⫤)=NaN","reverse_text":"NaN=(⫏≰1101220⨰⫏≰1201022⋷(⫏≰100011211+⫏≰21201111))⋝⋈⪟(⫏≰1221011⋳⪒⫏≰101202021)↬⫏≰101002101⪮%⊝⫏≰12020001≧⫂∧((↯⪼⫏≰1221100)⨸⪁(⫏≰2012220⨵⪆⫏≰11200022)↛⩡⫤)","cot":[{"info":"⫏≰1101220⨰⫏≰1201022=⫏≰-22001","layer":3},{"info":"⫏≰100011211+⫏≰21201111=⫏≰121220022","layer":3},{"info":"⫏≰-22001⋷⫏≰121220022=⫏≰121002","layer":2},{"info":"⫏≰1221011⋳⪒⫏≰101202021=⫏≰-21021121","layer":3},{"info":"⫏≰101002101⪮%⊝⫏≰12020001=⫏≰202121110","layer":3},{"info":"⫏≰-21021121↬⫏≰202121110=NaN","layer":2},{"info":"⫏≰121002⋝⋈⪟NaN=NaN","layer":1},{"info":"↯⪼⫏≰1221100=⫏≰-210","layer":3},{"info":"⫏≰2012220⨵⪆⫏≰11200022=⫏≰12221","layer":3},{"info":"⫏≰-210⨸⪁⫏≰12221=⫏≰101022","layer":2},{"info":"⫏≰101022↛⩡⫤=⫏≰-1221012220","layer":1},{"info":"NaN≧⫂∧⫏≰-1221012220=NaN","layer":0}]}
{"id":483,"expression_no_base_symbol":"(($1791$⨎$1581$⪨≂$3545$∼$4054$)⨁⊸⫻)≣⋋","expression":"((⫏≰2110100⨎⫏≰2011120⪨≂⫏≰11212022∼⫏≰12120011)⨁⊸⫻)≣⋋","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":82,"operation_count":5,"complexity_ratio":16.4,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1791,"base":3},"right_expr":{"type":"numeric_atoms","value":1581,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3545,"base":3},"right_expr":{"type":"numeric_atoms","value":4054,"base":3}}}}},"used_operators":["Tcnh7f0tEr","glklzrTFfD","sdazOOVcIp","rJVOvQCfKK","DyGG3AbaNP"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1791","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=1581, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1581","layer":3},{"info":"number node, value=3545","layer":4},{"info":"number node, value=4054","layer":4},{"info":"compute binary expreesion, left_input=3545, right_input=4054, 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=1581, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; 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":3,"result_base":3,"text":"((⫏≰2110100⨎⫏≰2011120⪨≂⫏≰11212022∼⫏≰12120011)⨁⊸⫻)≣⋋=NaN","reverse_text":"NaN=((⫏≰2110100⨎⫏≰2011120⪨≂⫏≰11212022∼⫏≰12120011)⨁⊸⫻)≣⋋","cot":[{"info":"⫏≰2110100⨎⫏≰2011120=⫏≰2011120","layer":3},{"info":"⫏≰11212022∼⫏≰12120011=NaN","layer":3},{"info":"⫏≰2011120⪨≂NaN=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":484,"expression_no_base_symbol":"⫛⫱⨽((∂($4542$+⇶⊼$3149$))⋓($3321$≋⫹)⪮%⊝($1207$⨸⪁$2130$))","expression":"⫛⫱⨽((∂(⫏≰20020020+⇶⊼⫏≰11022122))⋓(⫏≰11120000≋⫹)⪮%⊝(⫏≰1122201⨸⪁⫏≰2220220))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":942,"operation_count":7,"complexity_ratio":134.57142857142858,"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":4542,"base":3},"right_expr":{"type":"numeric_atoms","value":3149,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3321,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1207,"base":3},"right_expr":{"type":"numeric_atoms","value":2130,"base":3}}}}},"used_operators":["DlLNRPXxWL","T2fj7uvVaJ","Uaa54Peajs","TpPTUOHfaN","IWmyXbctLI","N41Kp7NANJ","g55IO6H4Gj"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4542","layer":4},{"info":"number node, value=3149","layer":4},{"info":"compute binary expreesion, left_input=4542, right_input=3149, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":"number node, value=3321","layer":4},{"info":"compute unary expreesion, input=3321, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6642","layer":3},{"info":"number node, value=1207","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=2130, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6674","layer":3},{"info":"compute binary expreesion, left_input=-6642, right_input=6674, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-12968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12968, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⫛⫱⨽((∂(⫏≰20020020+⇶⊼⫏≰11022122))⋓(⫏≰11120000≋⫹)⪮%⊝(⫏≰1122201⨸⪁⫏≰2220220))=⫏≰0","reverse_text":"⫏≰0=⫛⫱⨽((∂(⫏≰20020020+⇶⊼⫏≰11022122))⋓(⫏≰11120000≋⫹)⪮%⊝(⫏≰1122201⨸⪁⫏≰2220220))","cot":[{"info":"⫏≰20020020+⇶⊼⫏≰11022122=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⫏≰11120000≋⫹=⫏≰-100010000","layer":3},{"info":"⫏≰1122201⨸⪁⫏≰2220220=⫏≰100011012","layer":3},{"info":"⫏≰-100010000⪮%⊝⫏≰100011012=⫏≰-122210022","layer":2},{"info":"NaN⋓⫏≰-122210022=⫏≰0","layer":1},{"info":"⫛⫱⨽⫏≰0=⫏≰0","layer":0}]}
{"id":485,"expression_no_base_symbol":"(($4180$⨵⪆$3484$)⇷($6840$/$1057$)≎⊠⪸($3802$⋳⪒$1842$)⇷($7071$⨓$1136$))⨓(((≦∁$8770$)⪄$2149$⨓$4967$)⋥≓≎($2768$⨎$2652$*$2828$⩷∴$7616$))","expression":"((⫏≰12201211⨵⪆⫏≰11210001)⇷(⫏≰100101100/⫏≰1110011)≎⊠⪸(⫏≰12012211⋳⪒⫏≰2112020)⇷(⫏≰100200220⨓⫏≰1120002))⨓(((≦∁⫏≰110000211)⪄⫏≰2221121⨓⫏≰20210222)⋥≓≎(⫏≰10210112⨎⫏≰10122020*⫏≰10212202⩷∴⫏≰101110002))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":87873,"operation_count":15,"complexity_ratio":5858.2,"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":4180,"base":3},"right_expr":{"type":"numeric_atoms","value":3484,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6840,"base":3},"right_expr":{"type":"numeric_atoms","value":1057,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3802,"base":3},"right_expr":{"type":"numeric_atoms","value":1842,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7071,"base":3},"right_expr":{"type":"numeric_atoms","value":1136,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":8770,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2149,"base":3},"right_expr":{"type":"numeric_atoms","value":4967,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2768,"base":3},"right_expr":{"type":"numeric_atoms","value":2652,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2828,"base":3},"right_expr":{"type":"numeric_atoms","value":7616,"base":3}}}}},"used_operators":["3ViojmjbAp","bJkvcejdHO","mp7IySMOzn","2DQ55sFlQl","XhwjNDsVaA","12rbrZMWeM","Qy55tPpLXF","SUmda5xLS4","9ICcGScMcE","9HNa5Wba9A","rJVOvQCfKK","9FxExcQeMw"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z"],"result":"⫏≰-2121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4180","layer":4},{"info":"number node, value=3484","layer":4},{"info":"compute binary expreesion, left_input=4180, right_input=3484, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6840","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=6840, right_input=1057, op_id = XhwjNDsVaA binary_op_definition= 'None', output=6","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12","layer":2},{"info":"number node, value=3802","layer":4},{"info":"number node, value=1842","layer":4},{"info":"compute binary expreesion, left_input=3802, right_input=1842, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5475","layer":3},{"info":"number node, value=7071","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=7071, right_input=1136, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1139","layer":3},{"info":"compute binary expreesion, left_input=5475, right_input=-1139, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12, 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=8770","layer":4},{"info":"compute unary expreesion, input=8770, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8770","layer":3},{"info":"number node, value=2149","layer":4},{"info":"number node, value=4967","layer":4},{"info":"compute binary expreesion, left_input=2149, right_input=4967, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4970","layer":3},{"info":"compute binary expreesion, left_input=8770, right_input=-4970, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1274169","layer":2},{"info":"number node, value=2768","layer":4},{"info":"number node, value=2652","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=2652, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2652","layer":3},{"info":"number node, value=2828","layer":4},{"info":"number node, value=7616","layer":4},{"info":"compute binary expreesion, left_input=2828, right_input=7616, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9608","layer":3},{"info":"compute binary expreesion, left_input=2652, right_input=-9608, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-25480416","layer":2},{"info":"compute binary expreesion, left_input=-1274169, right_input=-25480416, 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=67, right_input=67, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-70","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12201211⨵⪆⫏≰11210001)⇷(⫏≰100101100/⫏≰1110011)≎⊠⪸(⫏≰12012211⋳⪒⫏≰2112020)⇷(⫏≰100200220⨓⫏≰1120002))⨓(((≦∁⫏≰110000211)⪄⫏≰2221121⨓⫏≰20210222)⋥≓≎(⫏≰10210112⨎⫏≰10122020*⫏≰10212202⩷∴⫏≰101110002))=⫏≰-2121","reverse_text":"⫏≰-2121=((⫏≰12201211⨵⪆⫏≰11210001)⇷(⫏≰100101100/⫏≰1110011)≎⊠⪸(⫏≰12012211⋳⪒⫏≰2112020)⇷(⫏≰100200220⨓⫏≰1120002))⨓(((≦∁⫏≰110000211)⪄⫏≰2221121⨓⫏≰20210222)⋥≓≎(⫏≰10210112⨎⫏≰10122020*⫏≰10212202⩷∴⫏≰101110002))","cot":[{"info":"⫏≰12201211⨵⪆⫏≰11210001=⫏≰12221","layer":3},{"info":"⫏≰100101100/⫏≰1110011=⫏≰20","layer":3},{"info":"⫏≰12221⇷⫏≰20=⫏≰110","layer":2},{"info":"⫏≰12012211⋳⪒⫏≰2112020=⫏≰21111210","layer":3},{"info":"⫏≰100200220⨓⫏≰1120002=⫏≰-1120012","layer":3},{"info":"⫏≰21111210⇷⫏≰-1120012=NaN","layer":2},{"info":"⫏≰110≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"≦∁⫏≰110000211=⫏≰110000211","layer":3},{"info":"⫏≰2221121⨓⫏≰20210222=⫏≰-20211002","layer":3},{"info":"⫏≰110000211⪄⫏≰-20211002=⫏≰-2101201211110","layer":2},{"info":"⫏≰10210112⨎⫏≰10122020=⫏≰10122020","layer":3},{"info":"⫏≰10212202⩷∴⫏≰101110002=⫏≰-111011212","layer":3},{"info":"⫏≰10122020*⫏≰-111011212=⫏≰-1202221112120010","layer":2},{"info":"⫏≰-2101201211110⋥≓≎⫏≰-1202221112120010=⫏≰2111","layer":1},{"info":"⫏≰2111⨓⫏≰2111=⫏≰-2121","layer":0}]}
{"id":486,"expression_no_base_symbol":"($8896$⨟⋌⩍$2113$⫸⊐$1977$⋝⋈⪟$8064$)⩚⊴⇥($2705$+⇶⊼$2390$⨸⪁($1004$⪨≂$4947$))⪨≂((($6518$⇼⇔∾$1202$)≫≃)/(↥$4471$⨓$4813$))","expression":"(⫏≰110012111⨟⋌⩍⫏≰2220021⫸⊐⫏≰2201020⋝⋈⪟⫏≰102001200)⩚⊴⇥(⫏≰10201012+⇶⊼⫏≰10021112⨸⪁(⫏≰1101012⪨≂⫏≰20210020))⪨≂(((⫏≰22221102⇼⇔∾⫏≰1122112)≫≃)/(↥⫏≰20010121⨓⫏≰20121021))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5265,"operation_count":13,"complexity_ratio":405.0,"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":8896,"base":3},"right_expr":{"type":"numeric_atoms","value":2113,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1977,"base":3},"right_expr":{"type":"numeric_atoms","value":8064,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2705,"base":3},"right_expr":{"type":"numeric_atoms","value":2390,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1004,"base":3},"right_expr":{"type":"numeric_atoms","value":4947,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6518,"base":3},"right_expr":{"type":"numeric_atoms","value":1202,"base":3}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4471,"base":3},"right_expr":{"type":"numeric_atoms","value":4813,"base":3}}}}},"used_operators":["sdazOOVcIp","NTOWxs364D","mqXw5SEYmG","rGHVDoGpnC","2DDjHMKMc0","g55IO6H4Gj","TpPTUOHfaN","XhwjNDsVaA","X99M06cbEe","tifHPKVTfV","A8NUZmVepG","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8896","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=8896, right_input=2113, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1977","layer":4},{"info":"number node, value=8064","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=8064, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1977","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1977, 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=2705","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=2705, right_input=2390, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1004","layer":4},{"info":"number node, value=4947","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=4947, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7784","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7784, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=6518","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=6518, right_input=1202, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5316","layer":3},{"info":"compute unary expreesion, input=-5316, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-9231","layer":2},{"info":"number node, value=4471","layer":4},{"info":"number node, value=4813","layer":4},{"info":"compute binary expreesion, left_input=4471, right_input=4813, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4816","layer":3},{"info":"compute unary expreesion, input=-4816, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=29","layer":2},{"info":"compute binary expreesion, left_input=-9231, right_input=29, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-319","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_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":3,"result_base":3,"text":"(⫏≰110012111⨟⋌⩍⫏≰2220021⫸⊐⫏≰2201020⋝⋈⪟⫏≰102001200)⩚⊴⇥(⫏≰10201012+⇶⊼⫏≰10021112⨸⪁(⫏≰1101012⪨≂⫏≰20210020))⪨≂(((⫏≰22221102⇼⇔∾⫏≰1122112)≫≃)/(↥⫏≰20010121⨓⫏≰20121021))=NaN","reverse_text":"NaN=(⫏≰110012111⨟⋌⩍⫏≰2220021⫸⊐⫏≰2201020⋝⋈⪟⫏≰102001200)⩚⊴⇥(⫏≰10201012+⇶⊼⫏≰10021112⨸⪁(⫏≰1101012⪨≂⫏≰20210020))⪨≂(((⫏≰22221102⇼⇔∾⫏≰1122112)≫≃)/(↥⫏≰20010121⨓⫏≰20121021))","cot":[{"info":"⫏≰110012111⨟⋌⩍⫏≰2220021=NaN","layer":3},{"info":"⫏≰2201020⋝⋈⪟⫏≰102001200=⫏≰2201020","layer":3},{"info":"NaN⫸⊐⫏≰2201020=NaN","layer":2},{"info":"⫏≰10201012+⇶⊼⫏≰10021112=NaN","layer":3},{"info":"⫏≰1101012⪨≂⫏≰20210020=⫏≰-101200022","layer":3},{"info":"NaN⨸⪁⫏≰-101200022=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⫏≰22221102⇼⇔∾⫏≰1122112=⫏≰-21021220","layer":3},{"info":"⫏≰-21021220≫≃=⫏≰-110122220","layer":2},{"info":"⫏≰20010121⨓⫏≰20121021=⫏≰-20121101","layer":3},{"info":"↥⫏≰-20121101=⫏≰1002","layer":2},{"info":"⫏≰-110122220/⫏≰1002=⫏≰-102211","layer":1},{"info":"NaN⪨≂⫏≰-102211=NaN","layer":0}]}
{"id":487,"expression_no_base_symbol":"⫛⫱⨽((⨈⫕$1691$≭$1968$)≧⫂∧($2738$≧⫂∧$1248$⨐⩸⫘($3519$↺$3267$)))","expression":"⫛⫱⨽((⨈⫕⫏≰2022122≭⫏≰2200220)≧⫂∧(⫏≰10202102≧⫂∧⫏≰1201020⨐⩸⫘(⫏≰11211100↺⫏≰11111000)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1304,"operation_count":7,"complexity_ratio":186.28571428571428,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1691,"base":3},"right_expr":{"type":"numeric_atoms","value":1968,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2738,"base":3},"right_expr":{"type":"numeric_atoms","value":1248,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3519,"base":3},"right_expr":{"type":"numeric_atoms","value":3267,"base":3}}}}},"used_operators":["DlLNRPXxWL","Ph9nP6C5qx","megm06wKyl","rxpJgHHUmx","fu6greOZ01","7j4O788W3g"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1691","layer":4},{"info":"number node, value=1968","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=1968, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":"number node, value=2738","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=1248, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=775","layer":3},{"info":"number node, value=3519","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=3519, right_input=3267, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3267","layer":3},{"info":"compute binary expreesion, left_input=775, right_input=3267, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-21, 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 unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫛⫱⨽((⨈⫕⫏≰2022122≭⫏≰2200220)≧⫂∧(⫏≰10202102≧⫂∧⫏≰1201020⨐⩸⫘(⫏≰11211100↺⫏≰11111000)))=NaN","reverse_text":"NaN=⫛⫱⨽((⨈⫕⫏≰2022122≭⫏≰2200220)≧⫂∧(⫏≰10202102≧⫂∧⫏≰1201020⨐⩸⫘(⫏≰11211100↺⫏≰11111000)))","cot":[{"info":"⫏≰2022122≭⫏≰2200220=NaN","layer":3},{"info":"⨈⫕NaN=⫏≰-210","layer":2},{"info":"⫏≰10202102≧⫂∧⫏≰1201020=⫏≰1001201","layer":3},{"info":"⫏≰11211100↺⫏≰11111000=⫏≰11111000","layer":3},{"info":"⫏≰1001201⨐⩸⫘⫏≰11111000=NaN","layer":2},{"info":"⫏≰-210≧⫂∧NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":488,"expression_no_base_symbol":"($1795$⪛$2999$∲⫓$1523$≭$1433$)+⇶⊼(($3570$↛⩡⫤)⫡⨏$1055$⋝⋈⪟$3931$)⩨($6068$⨪↰⇹$1332$≎⊠⪸$1218$∑⇟⊟$1175$)≧⫂∧(($1189$-$3037$)⇼⇔∾(↥$2815$))","expression":"(⫏≰2110111⪛⫏≰11010002∲⫓⫏≰2002102≭⫏≰1222002)+⇶⊼((⫏≰11220020↛⩡⫤)⫡⨏⫏≰1110002⋝⋈⪟⫏≰12101121)⩨(⫏≰22022202⨪↰⇹⫏≰1211100≎⊠⪸⫏≰1200010∑⇟⊟⫏≰1121112)≧⫂∧((⫏≰1122001-⫏≰11011111)⇼⇔∾(↥⫏≰10212021))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17005,"operation_count":15,"complexity_ratio":1133.6666666666667,"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":1795,"base":3},"right_expr":{"type":"numeric_atoms","value":2999,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1523,"base":3},"right_expr":{"type":"numeric_atoms","value":1433,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3570,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1055,"base":3},"right_expr":{"type":"numeric_atoms","value":3931,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6068,"base":3},"right_expr":{"type":"numeric_atoms","value":1332,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1218,"base":3},"right_expr":{"type":"numeric_atoms","value":1175,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1189,"base":3},"right_expr":{"type":"numeric_atoms","value":3037,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2815,"base":3}}}}},"used_operators":["2DlMacCsIx","TpPTUOHfaN","i8ToyICDmI","uFcxV4UQCh","rxpJgHHUmx","QMFrweE19q","FU0Cs4j7VP","2DDjHMKMc0","Ph9nP6C5qx","bJkvcejdHO","tmPS8pqC7x","U7g4x0WXJJ","tifHPKVTfV","rysDP5nf3Z","A8NUZmVepG"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1795","layer":4},{"info":"number node, value=2999","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=2999, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1795","layer":3},{"info":"number node, value=1523","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=1433, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1795, 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=3570","layer":4},{"info":"compute unary expreesion, input=3570, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-535159","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=3931","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=3931, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1055","layer":3},{"info":"compute binary expreesion, left_input=-535159, right_input=1055, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-2672902","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2672902, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=6068","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=6068, right_input=1332, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6068","layer":3},{"info":"number node, value=1218","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=1175, 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=6068, 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=1189","layer":4},{"info":"number node, value=3037","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=3037, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1848","layer":3},{"info":"number node, value=2815","layer":4},{"info":"compute unary expreesion, input=2815, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=10","layer":3},{"info":"compute binary expreesion, left_input=-1848, right_input=10, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1858","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1858, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1385","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1385, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2110111⪛⫏≰11010002∲⫓⫏≰2002102≭⫏≰1222002)+⇶⊼((⫏≰11220020↛⩡⫤)⫡⨏⫏≰1110002⋝⋈⪟⫏≰12101121)⩨(⫏≰22022202⨪↰⇹⫏≰1211100≎⊠⪸⫏≰1200010∑⇟⊟⫏≰1121112)≧⫂∧((⫏≰1122001-⫏≰11011111)⇼⇔∾(↥⫏≰10212021))=NaN","reverse_text":"NaN=(⫏≰2110111⪛⫏≰11010002∲⫓⫏≰2002102≭⫏≰1222002)+⇶⊼((⫏≰11220020↛⩡⫤)⫡⨏⫏≰1110002⋝⋈⪟⫏≰12101121)⩨(⫏≰22022202⨪↰⇹⫏≰1211100≎⊠⪸⫏≰1200010∑⇟⊟⫏≰1121112)≧⫂∧((⫏≰1122001-⫏≰11011111)⇼⇔∾(↥⫏≰10212021))","cot":[{"info":"⫏≰2110111⪛⫏≰11010002=⫏≰2110111","layer":3},{"info":"⫏≰2002102≭⫏≰1222002=NaN","layer":3},{"info":"⫏≰2110111∲⫓NaN=NaN","layer":2},{"info":"⫏≰11220020↛⩡⫤=⫏≰-1000012002201","layer":3},{"info":"⫏≰1110002⋝⋈⪟⫏≰12101121=⫏≰1110002","layer":3},{"info":"⫏≰-1000012002201⫡⨏⫏≰1110002=⫏≰-12000210112101","layer":2},{"info":"NaN+⇶⊼⫏≰-12000210112101=NaN","layer":1},{"info":"⫏≰22022202⨪↰⇹⫏≰1211100=⫏≰22022202","layer":3},{"info":"⫏≰1200010∑⇟⊟⫏≰1121112=NaN","layer":3},{"info":"⫏≰22022202≎⊠⪸NaN=⫏≰2111","layer":2},{"info":"⫏≰1122001-⫏≰11011111=⫏≰-2112110","layer":3},{"info":"↥⫏≰10212021=⫏≰101","layer":3},{"info":"⫏≰-2112110⇼⇔∾⫏≰101=⫏≰2112211","layer":2},{"info":"⫏≰2111≧⫂∧⫏≰2112211=⫏≰1220022","layer":1},{"info":"NaN⩨⫏≰1220022=NaN","layer":0}]}
{"id":489,"expression_no_base_symbol":"(($2691$-$4958$)⩷∴($1520$⫥∨⫟$3498$))∑⇟⊟($2561$∧)⨟⋌⩍($1142$⇷$1324$)⊘","expression":"((⫏≰10200200-⫏≰20210122)⩷∴(⫏≰2002022⫥∨⫟⫏≰11210120))∑⇟⊟(⫏≰10111212∧)⨟⋌⩍(⫏≰1120022⇷⫏≰1211001)⊘","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16184,"operation_count":8,"complexity_ratio":2023.0,"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":2691,"base":3},"right_expr":{"type":"numeric_atoms","value":4958,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1520,"base":3},"right_expr":{"type":"numeric_atoms","value":3498,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2561,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1142,"base":3},"right_expr":{"type":"numeric_atoms","value":1324,"base":3}}}}},"used_operators":["gu96TGCTMs","U7g4x0WXJJ","9FxExcQeMw","rysDP5nf3Z","KYD54nUTWz","rGHVDoGpnC","z63VuFQld9","mp7IySMOzn"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2691","layer":4},{"info":"number node, value=4958","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=4958, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2267","layer":3},{"info":"number node, value=1520","layer":4},{"info":"number node, value=3498","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=3498, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2267, 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=2561","layer":4},{"info":"compute unary expreesion, input=2561, 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=1142","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=1324, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2648","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2648, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = 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 = 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":3,"result_base":3,"text":"((⫏≰10200200-⫏≰20210122)⩷∴(⫏≰2002022⫥∨⫟⫏≰11210120))∑⇟⊟(⫏≰10111212∧)⨟⋌⩍(⫏≰1120022⇷⫏≰1211001)⊘=NaN","reverse_text":"NaN=((⫏≰10200200-⫏≰20210122)⩷∴(⫏≰2002022⫥∨⫟⫏≰11210120))∑⇟⊟(⫏≰10111212∧)⨟⋌⩍(⫏≰1120022⇷⫏≰1211001)⊘","cot":[{"info":"⫏≰10200200-⫏≰20210122=⫏≰-10002222","layer":3},{"info":"⫏≰2002022⫥∨⫟⫏≰11210120=NaN","layer":3},{"info":"⫏≰-10002222⩷∴NaN=NaN","layer":2},{"info":"⫏≰10111212∧=NaN","layer":3},{"info":"⫏≰1120022⇷⫏≰1211001=⫏≰10122002","layer":3},{"info":"NaN⨟⋌⩍⫏≰10122002=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":490,"expression_no_base_symbol":"((⨵≀≌$2094$∑⇟⊟$5059$)%($2054$⋥≓≎$2301$)⋥≓≎($1971$⨸⪁$2840$))-($4596$≧⫂∧$4022$)⨪↰⇹$1247$⨪↰⇹$2298$*$6906$⩷∴$1196$≎⊠⪸($3536$⨳⩥⨓$2416$)","expression":"((⨵≀≌⫏≰2212120∑⇟⊟⫏≰20221101)%(⫏≰2211002⋥≓≎⫏≰10011020)⋥≓≎(⫏≰2201000⨸⪁⫏≰10220012))-(⫏≰20022020≧⫂∧⫏≰12111222)⨪↰⇹⫏≰1201012⨪↰⇹⫏≰10011010*⫏≰100110210⩷∴⫏≰1122022≎⊠⪸(⫏≰11211222⨳⩥⨓⫏≰10022111)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4901,"operation_count":14,"complexity_ratio":350.07142857142856,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2094,"base":3},"right_expr":{"type":"numeric_atoms","value":5059,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2054,"base":3},"right_expr":{"type":"numeric_atoms","value":2301,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1971,"base":3},"right_expr":{"type":"numeric_atoms","value":2840,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4596,"base":3},"right_expr":{"type":"numeric_atoms","value":4022,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1247,"base":3},"right_expr":{"type":"numeric_atoms","value":2298,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6906,"base":3},"right_expr":{"type":"numeric_atoms","value":1196,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3536,"base":3},"right_expr":{"type":"numeric_atoms","value":2416,"base":3}}}}},"used_operators":["rysDP5nf3Z","k8jYdgA6NY","srAu1WTS94","U7g4x0WXJJ","Qy55tPpLXF","g55IO6H4Gj","9HNa5Wba9A","tmPS8pqC7x","Ph9nP6C5qx","bJkvcejdHO","9FxExcQeMw","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2094","layer":4},{"info":"number node, value=5059","layer":4},{"info":"compute binary expreesion, left_input=2094, right_input=5059, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"number node, value=2054","layer":4},{"info":"number node, value=2301","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=2301, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2581","layer":3},{"info":"number node, value=1971","layer":4},{"info":"number node, value=2840","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=2840, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9622","layer":3},{"info":"compute binary expreesion, left_input=2581, right_input=9622, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=16696","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16696, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4596","layer":4},{"info":"number node, value=4022","layer":4},{"info":"compute binary expreesion, left_input=4596, right_input=4022, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3549","layer":3},{"info":"number node, value=1247","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=2298, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1247","layer":3},{"info":"compute binary expreesion, left_input=3549, right_input=1247, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3549","layer":2},{"info":"number node, value=6906","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=6906, right_input=1196, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11388","layer":3},{"info":"number node, value=3536","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=2416, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1120","layer":3},{"info":"compute binary expreesion, left_input=11388, right_input=-1120, 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=3549, right_input=67, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=237783","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=237783, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨵≀≌⫏≰2212120∑⇟⊟⫏≰20221101)%(⫏≰2211002⋥≓≎⫏≰10011020)⋥≓≎(⫏≰2201000⨸⪁⫏≰10220012))-(⫏≰20022020≧⫂∧⫏≰12111222)⨪↰⇹⫏≰1201012⨪↰⇹⫏≰10011010*⫏≰100110210⩷∴⫏≰1122022≎⊠⪸(⫏≰11211222⨳⩥⨓⫏≰10022111)=NaN","reverse_text":"NaN=((⨵≀≌⫏≰2212120∑⇟⊟⫏≰20221101)%(⫏≰2211002⋥≓≎⫏≰10011020)⋥≓≎(⫏≰2201000⨸⪁⫏≰10220012))-(⫏≰20022020≧⫂∧⫏≰12111222)⨪↰⇹⫏≰1201012⨪↰⇹⫏≰10011010*⫏≰100110210⩷∴⫏≰1122022≎⊠⪸(⫏≰11211222⨳⩥⨓⫏≰10022111)","cot":[{"info":"⫏≰2212120∑⇟⊟⫏≰20221101=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⫏≰2211002⋥≓≎⫏≰10011020=⫏≰10112121","layer":3},{"info":"⫏≰2201000⨸⪁⫏≰10220012=⫏≰111012101","layer":3},{"info":"⫏≰10112121⋥≓≎⫏≰111012101=⫏≰211220101","layer":2},{"info":"NaN%⫏≰211220101=NaN","layer":1},{"info":"⫏≰20022020≧⫂∧⫏≰12111222=⫏≰11212110","layer":3},{"info":"⫏≰1201012⨪↰⇹⫏≰10011010=⫏≰1201012","layer":3},{"info":"⫏≰11212110⨪↰⇹⫏≰1201012=⫏≰11212110","layer":2},{"info":"⫏≰100110210⩷∴⫏≰1122022=⫏≰120121210","layer":3},{"info":"⫏≰11211222⨳⩥⨓⫏≰10022111=⫏≰-1112111","layer":3},{"info":"⫏≰120121210≎⊠⪸⫏≰-1112111=⫏≰2111","layer":2},{"info":"⫏≰11212110*⫏≰2111=⫏≰110002011210","layer":1},{"info":"NaN-⫏≰110002011210=NaN","layer":0}]}
{"id":491,"expression_no_base_symbol":"($1295$⋳⪒$2460$⨽($6383$↙$5001$)⊉≛↸($1291$⨪↰⇹$1023$)∀⇚≩($2562$+⇶⊼$3379$))↺($3833$⇼⇔∾$3200$⋷$2492$∲⫓$2712$)⪛(↩$1360$+⇶⊼$1199$)","expression":"(⫏≰1202222⋳⪒⫏≰10101010⨽(⫏≰22202102↙⫏≰20212020)⊉≛↸(⫏≰1202211⨪↰⇹⫏≰1101220)∀⇚≩(⫏≰10111220+⇶⊼⫏≰11122011))↺(⫏≰12020222⇼⇔∾⫏≰11101112⋷⫏≰10102022∲⫓⫏≰10201110)⪛(↩⫏≰1212101+⇶⊼⫏≰1122102)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15542,"operation_count":14,"complexity_ratio":1110.142857142857,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1295,"base":3},"right_expr":{"type":"numeric_atoms","value":2460,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6383,"base":3},"right_expr":{"type":"numeric_atoms","value":5001,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1291,"base":3},"right_expr":{"type":"numeric_atoms","value":1023,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2562,"base":3},"right_expr":{"type":"numeric_atoms","value":3379,"base":3}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3833,"base":3},"right_expr":{"type":"numeric_atoms","value":3200,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2492,"base":3},"right_expr":{"type":"numeric_atoms","value":2712,"base":3}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1360,"base":3},"right_expr":{"type":"numeric_atoms","value":1199,"base":3}}}}},"used_operators":["7j4O788W3g","DZ8iAZOCBD","8HhzD0ZcuI","12rbrZMWeM","yyfyN0ffXY","LRNGc0VcxI","tmPS8pqC7x","TpPTUOHfaN","uFcxV4UQCh","23Mk6UjR3U","tifHPKVTfV","i8ToyICDmI","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","rJVOvQCfKK","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1295","layer":4},{"info":"number node, value=2460","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=2460, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-157","layer":3},{"info":"number node, value=6383","layer":4},{"info":"number node, value=5001","layer":4},{"info":"compute binary expreesion, left_input=6383, right_input=5001, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15003","layer":3},{"info":"compute binary expreesion, left_input=-157, right_input=-15003, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27624","layer":2},{"info":"number node, value=1291","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=1023, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":"number node, value=2562","layer":4},{"info":"number node, value=3379","layer":4},{"info":"compute binary expreesion, left_input=2562, right_input=3379, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1291, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-27624, 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=3833","layer":4},{"info":"number node, value=3200","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=3200, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-633","layer":3},{"info":"number node, value=2492","layer":4},{"info":"number node, value=2712","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=2712, 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=-633, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1266","layer":2},{"info":"number node, value=1360","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=1199, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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=1266, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1202222⋳⪒⫏≰10101010⨽(⫏≰22202102↙⫏≰20212020)⊉≛↸(⫏≰1202211⨪↰⇹⫏≰1101220)∀⇚≩(⫏≰10111220+⇶⊼⫏≰11122011))↺(⫏≰12020222⇼⇔∾⫏≰11101112⋷⫏≰10102022∲⫓⫏≰10201110)⪛(↩⫏≰1212101+⇶⊼⫏≰1122102)=NaN","reverse_text":"NaN=(⫏≰1202222⋳⪒⫏≰10101010⨽(⫏≰22202102↙⫏≰20212020)⊉≛↸(⫏≰1202211⨪↰⇹⫏≰1101220)∀⇚≩(⫏≰10111220+⇶⊼⫏≰11122011))↺(⫏≰12020222⇼⇔∾⫏≰11101112⋷⫏≰10102022∲⫓⫏≰10201110)⪛(↩⫏≰1212101+⇶⊼⫏≰1122102)","cot":[{"info":"⫏≰1202222⋳⪒⫏≰10101010=⫏≰-12211","layer":3},{"info":"⫏≰22202102↙⫏≰20212020=⫏≰-202120200","layer":3},{"info":"⫏≰-12211⨽⫏≰-202120200=⫏≰-1101220010","layer":2},{"info":"⫏≰1202211⨪↰⇹⫏≰1101220=⫏≰1202211","layer":3},{"info":"⫏≰10111220+⇶⊼⫏≰11122011=NaN","layer":3},{"info":"⫏≰1202211∀⇚≩NaN=NaN","layer":2},{"info":"⫏≰-1101220010⊉≛↸NaN=NaN","layer":1},{"info":"⫏≰12020222⇼⇔∾⫏≰11101112=⫏≰-212110","layer":3},{"info":"⫏≰10102022∲⫓⫏≰10201110=⫏≰0","layer":3},{"info":"⫏≰-212110⋷⫏≰0=⫏≰1201220","layer":2},{"info":"⫏≰1212101+⇶⊼⫏≰1122102=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⫏≰1201220⪛NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":492,"expression_no_base_symbol":"⫓⪴(⪝⪂⫅($1132$⩚⊴⇥$3040$))⨪↰⇹($5734$⪘⫢$1046$⇼⇔∾$1258$⨓$4239$)","expression":"⫓⪴(⪝⪂⫅(⫏≰1112221⩚⊴⇥⫏≰11011121))⨪↰⇹(⫏≰21212101⪘⫢⫏≰1102202⇼⇔∾⫏≰1201121⨓⫏≰12211000)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1266557,"operation_count":7,"complexity_ratio":180936.7142857143,"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":1132,"base":3},"right_expr":{"type":"numeric_atoms","value":3040,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5734,"base":3},"right_expr":{"type":"numeric_atoms","value":1046,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1258,"base":3},"right_expr":{"type":"numeric_atoms","value":4239,"base":3}}}}},"used_operators":["eLxqMNBOBk","tmPS8pqC7x","XTarYq4gQB","NTOWxs364D","tifHPKVTfV","oacrs7FA3X","3ViojmjbAp"],"dependent_operators":["9HNa5Wba9A","rJVOvQCfKK","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"Inf","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1132","layer":4},{"info":"number node, value=3040","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=3040, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4293","layer":3},{"info":"compute unary expreesion, input=-4293, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=631071","layer":2},{"info":"number node, value=5734","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=5734, right_input=1046, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11344","layer":3},{"info":"number node, value=1258","layer":4},{"info":"number node, value=4239","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=4239, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4242","layer":3},{"info":"compute binary expreesion, left_input=11344, right_input=-4242, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-15586","layer":2},{"info":"compute binary expreesion, left_input=631071, right_input=-15586, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=631071","layer":1},{"info":"compute unary expreesion, input=631071, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":0}],"base":3,"result_base":3,"text":"⫓⪴(⪝⪂⫅(⫏≰1112221⩚⊴⇥⫏≰11011121))⨪↰⇹(⫏≰21212101⪘⫢⫏≰1102202⇼⇔∾⫏≰1201121⨓⫏≰12211000)=Inf","reverse_text":"Inf=⫓⪴(⪝⪂⫅(⫏≰1112221⩚⊴⇥⫏≰11011121))⨪↰⇹(⫏≰21212101⪘⫢⫏≰1102202⇼⇔∾⫏≰1201121⨓⫏≰12211000)","cot":[{"info":"⫏≰1112221⩚⊴⇥⫏≰11011121=⫏≰-12220000","layer":3},{"info":"⪝⪂⫅⫏≰-12220000=⫏≰1012001200000","layer":2},{"info":"⫏≰21212101⪘⫢⫏≰1102202=⫏≰120120011","layer":3},{"info":"⫏≰1201121⨓⫏≰12211000=⫏≰-12211010","layer":3},{"info":"⫏≰120120011⇼⇔∾⫏≰-12211010=⫏≰-210101021","layer":2},{"info":"⫏≰1012001200000⨪↰⇹⫏≰-210101021=⫏≰1012001200000","layer":1},{"info":"⫓⪴⫏≰1012001200000=Inf","layer":0}]}
{"id":493,"expression_no_base_symbol":"(⨑⩽⪐$5081$)∑⇟⊟$7579$⊴$3303$≭(($2163$⨵⪆$1071$)%(↥$6810$))⩨((+⊝⨔$6435$)⨽$3619$⨪↰⇹$1124$)⨐⩸⫘($2989$⨵⪆$1958$)≭(⇁⨣⪵$2132$)","expression":"(⨑⩽⪐⫏≰20222012)∑⇟⊟⫏≰101101201⊴⫏≰11112100≭((⫏≰2222010⨵⪆⫏≰1110200)%(↥⫏≰100100020))⩨((+⊝⨔⫏≰22211100)⨽⫏≰11222001⨪↰⇹⫏≰1112122)⨐⩸⫘(⫏≰11002201⨵⪆⫏≰2200112)≭(⇁⨣⪵⫏≰2220222)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10570,"operation_count":15,"complexity_ratio":704.6666666666666,"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":5081,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7579,"base":3},"right_expr":{"type":"numeric_atoms","value":3303,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2163,"base":3},"right_expr":{"type":"numeric_atoms","value":1071,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6810,"base":3}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6435,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3619,"base":3},"right_expr":{"type":"numeric_atoms","value":1124,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2989,"base":3},"right_expr":{"type":"numeric_atoms","value":1958,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2132,"base":3}}}}},"used_operators":["2DlMacCsIx","rxpJgHHUmx","U7g4x0WXJJ","AF7qkfDlqP","Nsiff2A1zJ","k8jYdgA6NY","2DQ55sFlQl","A8NUZmVepG","fu6greOZ01","8HhzD0ZcuI","DhbWaqg5eL","tmPS8pqC7x","inkyxCbjAn"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rJVOvQCfKK","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5081","layer":4},{"info":"compute unary expreesion, input=5081, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4808","layer":3},{"info":"number node, value=7579","layer":4},{"info":"number node, value=3303","layer":4},{"info":"compute binary expreesion, left_input=7579, right_input=3303, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4808, 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=2163","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=2163, right_input=1071, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6810","layer":4},{"info":"compute unary expreesion, input=6810, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=27","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=27, op_id = k8jYdgA6NY binary_op_definition= 'None', output=25","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=25, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=6435","layer":4},{"info":"compute unary expreesion, input=6435, 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=3619","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=3619, right_input=1124, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3619","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=3619, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6958995","layer":2},{"info":"number node, value=2989","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=1958, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2132","layer":4},{"info":"compute unary expreesion, input=2132, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-6958995, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨑⩽⪐⫏≰20222012)∑⇟⊟⫏≰101101201⊴⫏≰11112100≭((⫏≰2222010⨵⪆⫏≰1110200)%(↥⫏≰100100020))⩨((+⊝⨔⫏≰22211100)⨽⫏≰11222001⨪↰⇹⫏≰1112122)⨐⩸⫘(⫏≰11002201⨵⪆⫏≰2200112)≭(⇁⨣⪵⫏≰2220222)=NaN","reverse_text":"NaN=(⨑⩽⪐⫏≰20222012)∑⇟⊟⫏≰101101201⊴⫏≰11112100≭((⫏≰2222010⨵⪆⫏≰1110200)%(↥⫏≰100100020))⩨((+⊝⨔⫏≰22211100)⨽⫏≰11222001⨪↰⇹⫏≰1112122)⨐⩸⫘(⫏≰11002201⨵⪆⫏≰2200112)≭(⇁⨣⪵⫏≰2220222)","cot":[{"info":"⨑⩽⪐⫏≰20222012=⫏≰-20121002","layer":3},{"info":"⫏≰101101201⊴⫏≰11112100=NaN","layer":3},{"info":"⫏≰-20121002∑⇟⊟NaN=NaN","layer":2},{"info":"⫏≰2222010⨵⪆⫏≰1110200=⫏≰12221","layer":3},{"info":"↥⫏≰100100020=⫏≰1000","layer":3},{"info":"⫏≰12221%⫏≰1000=⫏≰221","layer":2},{"info":"NaN≭⫏≰221=NaN","layer":1},{"info":"+⊝⨔⫏≰22211100=⫏≰2002101","layer":3},{"info":"⫏≰11222001⨪↰⇹⫏≰1112122=⫏≰11222001","layer":3},{"info":"⫏≰2002101⨽⫏≰11222001=⫏≰-111002112221120","layer":2},{"info":"⫏≰11002201⨵⪆⫏≰2200112=⫏≰12221","layer":3},{"info":"⇁⨣⪵⫏≰2220222=NaN","layer":3},{"info":"⫏≰12221≭NaN=NaN","layer":2},{"info":"⫏≰-111002112221120⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":494,"expression_no_base_symbol":"⨰⫟⨤(($5849$⨳⩥⨓$1995$)≭(≦∁$3302$))⊴($5463$⨓$2560$*($3049$+$6536$))","expression":"⨰⫟⨤((⫏≰22000122⨳⩥⨓⫏≰2201220)≭(≦∁⫏≰11112022))⊴(⫏≰21111100⨓⫏≰10111211*(⫏≰11011221+⫏≰22222002))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5171,"operation_count":8,"complexity_ratio":646.375,"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":5849,"base":3},"right_expr":{"type":"numeric_atoms","value":1995,"base":3}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3302,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5463,"base":3},"right_expr":{"type":"numeric_atoms","value":2560,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3049,"base":3},"right_expr":{"type":"numeric_atoms","value":6536,"base":3}}}}},"used_operators":["Tw270M8GLb","Nsiff2A1zJ","rxpJgHHUmx","nCS4ZIUYfx","9ICcGScMcE","9HNa5Wba9A","3ViojmjbAp","W4YGzv6Whe"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5849","layer":4},{"info":"number node, value=1995","layer":4},{"info":"compute binary expreesion, left_input=5849, right_input=1995, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3854","layer":3},{"info":"number node, value=3302","layer":4},{"info":"compute unary expreesion, input=3302, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3302","layer":3},{"info":"compute binary expreesion, left_input=-3854, right_input=3302, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5463","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=5463, right_input=2560, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2563","layer":3},{"info":"number node, value=3049","layer":4},{"info":"number node, value=6536","layer":4},{"info":"compute binary expreesion, left_input=3049, right_input=6536, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9585","layer":3},{"info":"compute binary expreesion, left_input=-2563, right_input=9585, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-24566355","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-24566355, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":3,"result_base":3,"text":"⨰⫟⨤((⫏≰22000122⨳⩥⨓⫏≰2201220)≭(≦∁⫏≰11112022))⊴(⫏≰21111100⨓⫏≰10111211*(⫏≰11011221+⫏≰22222002))=NaN","reverse_text":"NaN=⨰⫟⨤((⫏≰22000122⨳⩥⨓⫏≰2201220)≭(≦∁⫏≰11112022))⊴(⫏≰21111100⨓⫏≰10111211*(⫏≰11011221+⫏≰22222002))","cot":[{"info":"⫏≰22000122⨳⩥⨓⫏≰2201220=⫏≰-12021202","layer":3},{"info":"≦∁⫏≰11112022=⫏≰11112022","layer":3},{"info":"⫏≰-12021202≭⫏≰11112022=NaN","layer":2},{"info":"⫏≰21111100⨓⫏≰10111211=⫏≰-10111221","layer":3},{"info":"⫏≰11011221+⫏≰22222002=⫏≰111011000","layer":3},{"info":"⫏≰-10111221*⫏≰111011000=⫏≰-1201020002201000","layer":2},{"info":"NaN⊴⫏≰-1201020002201000=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":495,"expression_no_base_symbol":"⋗⩬⋾($6210$⋥≓≎$2785$⇼⇔∾($1430$+$5145$)⪨≂(≤/($4171$⊪)))","expression":"⋗⩬⋾(⫏≰22112000⋥≓≎⫏≰10211011⇼⇔∾(⫏≰1221222+⫏≰21001120)⪨≂(≤/(⫏≰12201111⊪)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":49,"operation_count":7,"complexity_ratio":7.0,"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":6210,"base":3},"right_expr":{"type":"numeric_atoms","value":2785,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1430,"base":3},"right_expr":{"type":"numeric_atoms","value":5145,"base":3}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4171,"base":3}}}}},"used_operators":["DpFCA1CohY","sdazOOVcIp","tifHPKVTfV","Qy55tPpLXF","W4YGzv6Whe","eLAdDNolq6","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫏≰-2001112210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6210","layer":4},{"info":"number node, value=2785","layer":4},{"info":"compute binary expreesion, left_input=6210, right_input=2785, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-607","layer":3},{"info":"number node, value=1430","layer":4},{"info":"number node, value=5145","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=5145, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6575","layer":3},{"info":"compute binary expreesion, left_input=-607, right_input=6575, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7182","layer":2},{"info":"number node, value=4171","layer":4},{"info":"compute unary expreesion, input=4171, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":2},{"info":"compute binary expreesion, left_input=7182, right_input=484, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=13498","layer":1},{"info":"compute unary expreesion, input=13498, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-40494","layer":0}],"base":3,"result_base":3,"text":"⋗⩬⋾(⫏≰22112000⋥≓≎⫏≰10211011⇼⇔∾(⫏≰1221222+⫏≰21001120)⪨≂(≤/(⫏≰12201111⊪)))=⫏≰-2001112210","reverse_text":"⫏≰-2001112210=⋗⩬⋾(⫏≰22112000⋥≓≎⫏≰10211011⇼⇔∾(⫏≰1221222+⫏≰21001120)⪨≂(≤/(⫏≰12201111⊪)))","cot":[{"info":"⫏≰22112000⋥≓≎⫏≰10211011=⫏≰-211111","layer":3},{"info":"⫏≰1221222+⫏≰21001120=⫏≰100000112","layer":3},{"info":"⫏≰-211111⇼⇔∾⫏≰100000112=⫏≰100212000","layer":2},{"info":"⫏≰12201111⊪=⫏≰0","layer":3},{"info":"≤/⫏≰0=⫏≰122221","layer":2},{"info":"⫏≰100212000⪨≂⫏≰122221=⫏≰200111221","layer":1},{"info":"⋗⩬⋾⫏≰200111221=⫏≰-2001112210","layer":0}]}
{"id":496,"expression_no_base_symbol":"(($4427$⋳⪒$1597$)⇷(+⊝⨔$4466$)⋥≓≎(⨑⩽⪐(⊄⩳↩$2905$)))⨓((⨑⩽⪐$2339$)≧⫂∧($5325$⊉≛↸$6415$)⨽(+⊝⨔($1454$⊉≛↸$2912$)))","expression":"((⫏≰20001222⋳⪒⫏≰2012011)⇷(+⊝⨔⫏≰20010102)⋥≓≎(⨑⩽⪐(⊄⩳↩⫏≰10222121)))⨓((⨑⩽⪐⫏≰10012122)≧⫂∧(⫏≰21022020⊉≛↸⫏≰22210121)⨽(+⊝⨔(⫏≰1222212⊉≛↸⫏≰10222212)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":107889,"operation_count":13,"complexity_ratio":8299.153846153846,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4427,"base":3},"right_expr":{"type":"numeric_atoms","value":1597,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4466,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2905,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2339,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5325,"base":3},"right_expr":{"type":"numeric_atoms","value":6415,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1454,"base":3},"right_expr":{"type":"numeric_atoms","value":2912,"base":3}}}}},"used_operators":["3ViojmjbAp","Qy55tPpLXF","mp7IySMOzn","12rbrZMWeM","DhbWaqg5eL","AF7qkfDlqP","8w2t5hMYqp","8HhzD0ZcuI","Ph9nP6C5qx","DZ8iAZOCBD"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6970","layer":3},{"info":"number node, value=4466","layer":4},{"info":"compute unary expreesion, input=4466, 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=6970, right_input=1522, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3044","layer":2},{"info":"number node, value=2905","layer":4},{"info":"compute unary expreesion, input=2905, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8715","layer":3},{"info":"compute unary expreesion, input=-8715, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=18219","layer":2},{"info":"compute binary expreesion, left_input=3044, right_input=18219, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=33427","layer":1},{"info":"number node, value=2339","layer":4},{"info":"compute unary expreesion, input=2339, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2066","layer":3},{"info":"number node, value=5325","layer":4},{"info":"number node, value=6415","layer":4},{"info":"compute binary expreesion, left_input=5325, right_input=6415, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10650","layer":3},{"info":"compute binary expreesion, left_input=-2066, right_input=10650, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=10177","layer":2},{"info":"number node, value=1454","layer":4},{"info":"number node, value=2912","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=2912, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2908","layer":3},{"info":"compute unary expreesion, input=2908, 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=10177, right_input=1522, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-310717239","layer":1},{"info":"compute binary expreesion, left_input=33427, right_input=-310717239, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20001222⋳⪒⫏≰2012011)⇷(+⊝⨔⫏≰20010102)⋥≓≎(⨑⩽⪐(⊄⩳↩⫏≰10222121)))⨓((⨑⩽⪐⫏≰10012122)≧⫂∧(⫏≰21022020⊉≛↸⫏≰22210121)⨽(+⊝⨔(⫏≰1222212⊉≛↸⫏≰10222212)))=NaN","reverse_text":"NaN=((⫏≰20001222⋳⪒⫏≰2012011)⇷(+⊝⨔⫏≰20010102)⋥≓≎(⨑⩽⪐(⊄⩳↩⫏≰10222121)))⨓((⨑⩽⪐⫏≰10012122)≧⫂∧(⫏≰21022020⊉≛↸⫏≰22210121)⨽(+⊝⨔(⫏≰1222212⊉≛↸⫏≰10222212)))","cot":[{"info":"⫏≰20001222⋳⪒⫏≰2012011=⫏≰100120011","layer":3},{"info":"+⊝⨔⫏≰20010102=⫏≰2002101","layer":3},{"info":"⫏≰100120011⇷⫏≰2002101=⫏≰11011202","layer":2},{"info":"⊄⩳↩⫏≰10222121=⫏≰-102221210","layer":3},{"info":"⨑⩽⪐⫏≰-102221210=⫏≰220222210","layer":2},{"info":"⫏≰11011202⋥≓≎⫏≰220222210=⫏≰1200212001","layer":1},{"info":"⨑⩽⪐⫏≰10012122=⫏≰-2211112","layer":3},{"info":"⫏≰21022020⊉≛↸⫏≰22210121=⫏≰112121110","layer":3},{"info":"⫏≰-2211112≧⫂∧⫏≰112121110=⫏≰111221221","layer":2},{"info":"⫏≰1222212⊉≛↸⫏≰10222212=⫏≰10222201","layer":3},{"info":"+⊝⨔⫏≰10222201=⫏≰2002101","layer":2},{"info":"⫏≰111221221⨽⫏≰2002101=⫏≰-210122200001220220","layer":1},{"info":"⫏≰1200212001⨓⫏≰-210122200001220220=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"(($4762$⊉≛↸$4336$)⩷∴($2980$%$2622$)-(⫛⫱⨽$3087$)⨪↰⇹($4224$∑⇟⊟$1601$))↬(⨰⫟⨤(($5848$⊭↱$5696$)≧⫂∧($1124$⫥∨⫟$9792$)))","expression":"((⫏≰20112101⊉≛↸⫏≰12221121)⩷∴(⫏≰11002101%⫏≰10121010)-(⫛⫱⨽⫏≰11020100)⨪↰⇹(⫏≰12210110∑⇟⊟⫏≰2012022))↬(⨰⫟⨤((⫏≰22000121⊭↱⫏≰21210222)≧⫂∧(⫏≰1112122⫥∨⫟⫏≰111102200)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1625,"operation_count":12,"complexity_ratio":135.41666666666666,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4762,"base":3},"right_expr":{"type":"numeric_atoms","value":4336,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2980,"base":3},"right_expr":{"type":"numeric_atoms","value":2622,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3087,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4224,"base":3},"right_expr":{"type":"numeric_atoms","value":1601,"base":3}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5848,"base":3},"right_expr":{"type":"numeric_atoms","value":5696,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1124,"base":3},"right_expr":{"type":"numeric_atoms","value":9792,"base":3}}}}},"used_operators":["B5M0gjZbta","rysDP5nf3Z","9FxExcQeMw","DZ8iAZOCBD","k8jYdgA6NY","tmPS8pqC7x","DlLNRPXxWL","U7g4x0WXJJ","Tw270M8GLb","Ph9nP6C5qx","COABgblf1C","KYD54nUTWz"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4762","layer":4},{"info":"number node, value=4336","layer":4},{"info":"compute binary expreesion, left_input=4762, right_input=4336, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9524","layer":3},{"info":"number node, value=2980","layer":4},{"info":"number node, value=2622","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=2622, op_id = k8jYdgA6NY binary_op_definition= 'None', output=358","layer":3},{"info":"compute binary expreesion, left_input=9524, right_input=358, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=18300","layer":2},{"info":"number node, value=3087","layer":4},{"info":"compute unary expreesion, input=3087, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=4224","layer":4},{"info":"number node, value=1601","layer":4},{"info":"compute binary expreesion, left_input=4224, right_input=1601, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=18300, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=18300","layer":1},{"info":"number node, value=5848","layer":4},{"info":"number node, value=5696","layer":4},{"info":"compute binary expreesion, left_input=5848, right_input=5696, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-299","layer":3},{"info":"number node, value=1124","layer":4},{"info":"number node, value=9792","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=9792, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-299, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18300, 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":3,"result_base":3,"text":"((⫏≰20112101⊉≛↸⫏≰12221121)⩷∴(⫏≰11002101%⫏≰10121010)-(⫛⫱⨽⫏≰11020100)⨪↰⇹(⫏≰12210110∑⇟⊟⫏≰2012022))↬(⨰⫟⨤((⫏≰22000121⊭↱⫏≰21210222)≧⫂∧(⫏≰1112122⫥∨⫟⫏≰111102200)))=NaN","reverse_text":"NaN=((⫏≰20112101⊉≛↸⫏≰12221121)⩷∴(⫏≰11002101%⫏≰10121010)-(⫛⫱⨽⫏≰11020100)⨪↰⇹(⫏≰12210110∑⇟⊟⫏≰2012022))↬(⨰⫟⨤((⫏≰22000121⊭↱⫏≰21210222)≧⫂∧(⫏≰1112122⫥∨⫟⫏≰111102200)))","cot":[{"info":"⫏≰20112101⊉≛↸⫏≰12221121=⫏≰111001202","layer":3},{"info":"⫏≰11002101%⫏≰10121010=⫏≰111021","layer":3},{"info":"⫏≰111001202⩷∴⫏≰111021=⫏≰221002210","layer":2},{"info":"⫛⫱⨽⫏≰11020100=⫏≰0","layer":3},{"info":"⫏≰12210110∑⇟⊟⫏≰2012022=NaN","layer":3},{"info":"⫏≰0⨪↰⇹NaN=⫏≰0","layer":2},{"info":"⫏≰221002210-⫏≰0=⫏≰221002210","layer":1},{"info":"⫏≰22000121⊭↱⫏≰21210222=⫏≰-102002","layer":3},{"info":"⫏≰1112122⫥∨⫟⫏≰111102200=NaN","layer":3},{"info":"⫏≰-102002≧⫂∧NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫏≰221002210↬NaN=NaN","layer":0}]}
{"id":498,"expression_no_base_symbol":"(($1296$*$3131$)∼(⨑⩽⪐$6615$)⊠≄⫣)⨓(($2849$⪄$1796$⨸⪁($1368$⪨≂$1191$))∑⇟⊟($2545$⇷$3775$⨳⩥⨓($1831$⊪)))","expression":"((⫏≰1210000*⫏≰11021222)∼(⨑⩽⪐⫏≰100002000)⊠≄⫣)⨓((⫏≰10220112⪄⫏≰2110112⨸⪁(⫏≰1212200⪨≂⫏≰1122010))∑⇟⊟(⫏≰10111021⇷⫏≰12011211⨳⩥⨓(⫏≰2111211⊪)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":116652,"operation_count":12,"complexity_ratio":9721.0,"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":1296,"base":3},"right_expr":{"type":"numeric_atoms","value":3131,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6615,"base":3}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2849,"base":3},"right_expr":{"type":"numeric_atoms","value":1796,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1368,"base":3},"right_expr":{"type":"numeric_atoms","value":1191,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2545,"base":3},"right_expr":{"type":"numeric_atoms","value":3775,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1831,"base":3}}}}},"used_operators":["3ViojmjbAp","DIvbN7qnHd","DyGG3AbaNP","9HNa5Wba9A","AF7qkfDlqP","U7g4x0WXJJ","g55IO6H4Gj","SUmda5xLS4","sdazOOVcIp","nCS4ZIUYfx","mp7IySMOzn","zVYPLywUTj"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1296","layer":4},{"info":"number node, value=3131","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=3131, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4057776","layer":3},{"info":"number node, value=6615","layer":4},{"info":"compute unary expreesion, input=6615, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6342","layer":3},{"info":"compute binary expreesion, left_input=4057776, right_input=-6342, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=2849","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=2849, right_input=1796, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-424925","layer":3},{"info":"number node, value=1368","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=1191, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=456","layer":3},{"info":"compute binary expreesion, left_input=-424925, right_input=456, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-848938","layer":2},{"info":"number node, value=2545","layer":4},{"info":"number node, value=3775","layer":4},{"info":"compute binary expreesion, left_input=2545, right_input=3775, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7550","layer":3},{"info":"number node, value=1831","layer":4},{"info":"compute unary expreesion, input=1831, 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=7550, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7550","layer":2},{"info":"compute binary expreesion, left_input=-848938, right_input=-7550, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1210000*⫏≰11021222)∼(⨑⩽⪐⫏≰100002000)⊠≄⫣)⨓((⫏≰10220112⪄⫏≰2110112⨸⪁(⫏≰1212200⪨≂⫏≰1122010))∑⇟⊟(⫏≰10111021⇷⫏≰12011211⨳⩥⨓(⫏≰2111211⊪)))=NaN","reverse_text":"NaN=((⫏≰1210000*⫏≰11021222)∼(⨑⩽⪐⫏≰100002000)⊠≄⫣)⨓((⫏≰10220112⪄⫏≰2110112⨸⪁(⫏≰1212200⪨≂⫏≰1122010))∑⇟⊟(⫏≰10111021⇷⫏≰12011211⨳⩥⨓(⫏≰2111211⊪)))","cot":[{"info":"⫏≰1210000*⫏≰11021222=⫏≰21122011020000","layer":3},{"info":"⨑⩽⪐⫏≰100002000=⫏≰-22200220","layer":3},{"info":"⫏≰21122011020000∼⫏≰-22200220=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"⫏≰10220112⪄⫏≰2110112=⫏≰-210120212222","layer":3},{"info":"⫏≰1212200⪨≂⫏≰1122010=⫏≰121220","layer":3},{"info":"⫏≰-210120212222⨸⪁⫏≰121220=⫏≰-1121010112011","layer":2},{"info":"⫏≰10111021⇷⫏≰12011211=⫏≰101100122","layer":3},{"info":"⫏≰2111211⊪=⫏≰0","layer":3},{"info":"⫏≰101100122⨳⩥⨓⫏≰0=⫏≰-101100122","layer":2},{"info":"⫏≰-1121010112011∑⇟⊟⫏≰-101100122=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":499,"expression_no_base_symbol":"((($1093$⨁⊸⫻)-(↯⪼$5080$))-($1241$⫸⊐$1211$)⨳⩥⨓($8600$⇼⇔∾$3546$))⨽(⨑⩽⪐$2285$≹⇙⪍$1227$⋳⪒$3342$∼$1579$)","expression":"(((⫏≰1111111⨁⊸⫻)-(↯⪼⫏≰20222011))-(⫏≰1200222⫸⊐⫏≰1122212)⨳⩥⨓(⫏≰102210112⇼⇔∾⫏≰11212100))⨽(⨑⩽⪐⫏≰10010122≹⇙⪍⫏≰1200110⋳⪒⫏≰11120210∼⫏≰2011111)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11041,"operation_count":12,"complexity_ratio":920.0833333333334,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1093,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5080,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1241,"base":3},"right_expr":{"type":"numeric_atoms","value":1211,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":8600,"base":3},"right_expr":{"type":"numeric_atoms","value":3546,"base":3}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2285,"base":3},"right_expr":{"type":"numeric_atoms","value":1227,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3342,"base":3},"right_expr":{"type":"numeric_atoms","value":1579,"base":3}}}}},"used_operators":["8HhzD0ZcuI","rysDP5nf3Z","glklzrTFfD","8jW3W4yZS5","nCS4ZIUYfx","mqXw5SEYmG","tifHPKVTfV","AF7qkfDlqP","12rbrZMWeM","AHs5Up7iyr","DyGG3AbaNP"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1093","layer":3},{"info":"number node, value=5080","layer":4},{"info":"compute unary expreesion, input=5080, 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=1093, right_input=-21, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1114","layer":2},{"info":"number node, value=1241","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=1211, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4719","layer":3},{"info":"number node, value=8600","layer":4},{"info":"number node, value=3546","layer":4},{"info":"compute binary expreesion, left_input=8600, right_input=3546, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5054","layer":3},{"info":"compute binary expreesion, left_input=4719, right_input=-5054, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-9773","layer":2},{"info":"compute binary expreesion, left_input=1114, right_input=-9773, op_id = rysDP5nf3Z binary_op_definition= 'None', output=10887","layer":1},{"info":"number node, value=2285","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=2285, right_input=1227, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3342","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=3342, right_input=1579, 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 = 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 = 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=10887, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1111111⨁⊸⫻)-(↯⪼⫏≰20222011))-(⫏≰1200222⫸⊐⫏≰1122212)⨳⩥⨓(⫏≰102210112⇼⇔∾⫏≰11212100))⨽(⨑⩽⪐⫏≰10010122≹⇙⪍⫏≰1200110⋳⪒⫏≰11120210∼⫏≰2011111)=NaN","reverse_text":"NaN=(((⫏≰1111111⨁⊸⫻)-(↯⪼⫏≰20222011))-(⫏≰1200222⫸⊐⫏≰1122212)⨳⩥⨓(⫏≰102210112⇼⇔∾⫏≰11212100))⨽(⨑⩽⪐⫏≰10010122≹⇙⪍⫏≰1200110⋳⪒⫏≰11120210∼⫏≰2011111)","cot":[{"info":"⫏≰1111111⨁⊸⫻=⫏≰1111111","layer":3},{"info":"↯⪼⫏≰20222011=⫏≰-210","layer":3},{"info":"⫏≰1111111-⫏≰-210=⫏≰1112021","layer":2},{"info":"⫏≰1200222⫸⊐⫏≰1122212=⫏≰20110210","layer":3},{"info":"⫏≰102210112⇼⇔∾⫏≰11212100=⫏≰-20221012","layer":3},{"info":"⫏≰20110210⨳⩥⨓⫏≰-20221012=⫏≰-111101222","layer":2},{"info":"⫏≰1112021-⫏≰-111101222=⫏≰112221020","layer":1},{"info":"⫏≰10010122≹⇙⪍⫏≰1200110=NaN","layer":3},{"info":"⫏≰11120210∼⫏≰2011111=NaN","layer":3},{"info":"NaN⋳⪒NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⫏≰112221020⨽NaN=NaN","layer":0}]}
{"id":500,"expression_no_base_symbol":"((($3684$⪒$5293$)⪠⩆⊳)⊭↱(⫓⪴($2878$⨐⩸⫘$1091$)))+⇶⊼((⊥($1975$⋝⋈⪟$2454$))+$1586$⪘⫢$1420$≎⊠⪸$1793$↬$5594$)","expression":"(((⫏≰12001110⪒⫏≰21021001)⪠⩆⊳)⊭↱(⫓⪴(⫏≰10221121⨐⩸⫘⫏≰1111102)))+⇶⊼((⊥(⫏≰2201011⋝⋈⪟⫏≰10100220))+⫏≰2011202⪘⫢⫏≰1221121≎⊠⪸⫏≰2110102↬⫏≰21200012)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":50,"operation_count":12,"complexity_ratio":4.166666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3684,"base":3},"right_expr":{"type":"numeric_atoms","value":5293,"base":3}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2878,"base":3},"right_expr":{"type":"numeric_atoms","value":1091,"base":3}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1975,"base":3},"right_expr":{"type":"numeric_atoms","value":2454,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1586,"base":3},"right_expr":{"type":"numeric_atoms","value":1420,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1793,"base":3},"right_expr":{"type":"numeric_atoms","value":5594,"base":3}}}}},"used_operators":["TpPTUOHfaN","COABgblf1C","JLbD19bQDL","f6k1SAg4EE","eLxqMNBOBk","fu6greOZ01","W4YGzv6Whe","Q3PJZHRvZv","2DDjHMKMc0","bJkvcejdHO","oacrs7FA3X","B5M0gjZbta"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","3ViojmjbAp","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3684","layer":4},{"info":"number node, value=5293","layer":4},{"info":"compute binary expreesion, left_input=3684, right_input=5293, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8977","layer":3},{"info":"compute unary expreesion, input=-8977, 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=2878","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=2878, right_input=1091, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 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":"number node, value=1975","layer":4},{"info":"number node, value=2454","layer":4},{"info":"compute binary expreesion, left_input=1975, right_input=2454, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1975","layer":3},{"info":"compute unary expreesion, input=1975, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1586","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=1420, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3048","layer":3},{"info":"number node, value=1793","layer":4},{"info":"number node, value=5594","layer":4},{"info":"compute binary expreesion, left_input=1793, right_input=5594, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3048, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰12001110⪒⫏≰21021001)⪠⩆⊳)⊭↱(⫓⪴(⫏≰10221121⨐⩸⫘⫏≰1111102)))+⇶⊼((⊥(⫏≰2201011⋝⋈⪟⫏≰10100220))+⫏≰2011202⪘⫢⫏≰1221121≎⊠⪸⫏≰2110102↬⫏≰21200012)=NaN","reverse_text":"NaN=(((⫏≰12001110⪒⫏≰21021001)⪠⩆⊳)⊭↱(⫓⪴(⫏≰10221121⨐⩸⫘⫏≰1111102)))+⇶⊼((⊥(⫏≰2201011⋝⋈⪟⫏≰10100220))+⫏≰2011202⪘⫢⫏≰1221121≎⊠⪸⫏≰2110102↬⫏≰21200012)","cot":[{"info":"⫏≰12001110⪒⫏≰21021001=⫏≰-110022111","layer":3},{"info":"⫏≰-110022111⪠⩆⊳=⫏≰0","layer":2},{"info":"⫏≰10221121⨐⩸⫘⫏≰1111102=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⫏≰0⊭↱NaN=NaN","layer":1},{"info":"⫏≰2201011⋝⋈⪟⫏≰10100220=⫏≰2201011","layer":3},{"info":"⊥⫏≰2201011=NaN","layer":2},{"info":"⫏≰2011202⪘⫢⫏≰1221121=⫏≰11011220","layer":3},{"info":"⫏≰2110102↬⫏≰21200012=NaN","layer":3},{"info":"⫏≰11011220≎⊠⪸NaN=⫏≰2111","layer":2},{"info":"NaN+⫏≰2111=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":501,"expression_no_base_symbol":"((⫓⪴($2310$≦≮≮))↪⪝)∧","expression":"((⫓⪴(⫏≰10011120≦≮≮))↪⪝)∧","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7537,"operation_count":4,"complexity_ratio":1884.25,"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":2310,"base":3}}}}},"used_operators":["z63VuFQld9","l07mrZUIn9","eLxqMNBOBk","D4vGDi5EA2"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2310","layer":4},{"info":"compute unary expreesion, input=2310, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6930","layer":3},{"info":"compute unary expreesion, input=-6930, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=48024900","layer":2},{"info":"compute unary expreesion, input=48024900, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫓⪴(⫏≰10011120≦≮≮))↪⪝)∧=NaN","reverse_text":"NaN=((⫓⪴(⫏≰10011120≦≮≮))↪⪝)∧","cot":[{"info":"⫏≰10011120≦≮≮=⫏≰-100111200","layer":3},{"info":"⫓⪴⫏≰-100111200=⫏≰10100100220210000","layer":2},{"info":"⫏≰10100100220210000↪⪝=Inf","layer":1},{"info":"Inf∧=NaN","layer":0}]}
{"id":502,"expression_no_base_symbol":"(⊙↵-($1457$⨓$3908$/$2822$⨳⩥⨓$1689$))⇋≉","expression":"(⊙↵-(⫏≰1222222⨓⫏≰12100202/⫏≰10212112⨳⩥⨓⫏≰2022120))⇋≉","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3952,"operation_count":5,"complexity_ratio":790.4,"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":1457,"base":3},"right_expr":{"type":"numeric_atoms","value":3908,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2822,"base":3},"right_expr":{"type":"numeric_atoms","value":1689,"base":3}}}}},"used_operators":["XIabStNQrY","oWn0xqSxBt","XhwjNDsVaA","3ViojmjbAp","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰-10122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1457","layer":4},{"info":"number node, value=3908","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=3908, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3911","layer":3},{"info":"number node, value=2822","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=1689, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1133","layer":3},{"info":"compute binary expreesion, left_input=-3911, right_input=-1133, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":2},{"info":"compute unary expreesion, input=3, 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":3,"result_base":3,"text":"(⊙↵-(⫏≰1222222⨓⫏≰12100202/⫏≰10212112⨳⩥⨓⫏≰2022120))⇋≉=⫏≰-10122","reverse_text":"⫏≰-10122=(⊙↵-(⫏≰1222222⨓⫏≰12100202/⫏≰10212112⨳⩥⨓⫏≰2022120))⇋≉","cot":[{"info":"⫏≰1222222⨓⫏≰12100202=⫏≰-12100212","layer":3},{"info":"⫏≰10212112⨳⩥⨓⫏≰2022120=⫏≰-1112222","layer":3},{"info":"⫏≰-12100212/⫏≰-1112222=⫏≰10","layer":2},{"info":"⊙↵-⫏≰10=⫏≰0","layer":1},{"info":"⫏≰0⇋≉=⫏≰-10122","layer":0}]}
{"id":503,"expression_no_base_symbol":"(($3608$⨐⩸⫘$4649$)≧⫂∧(↯⪼$1390$)⋓(($1267$↺$1504$)⨎($5354$⩤)))⨪↰⇹(((⨈⫕$1008$)⫥∨⫟($3376$⇼⇔∾$1005$))⩚⊴⇥($5061$⨳⩥⨓$5507$/(-$3710$)))","expression":"((⫏≰11221122⨐⩸⫘⫏≰20101012)≧⫂∧(↯⪼⫏≰1220111)⋓((⫏≰1201221↺⫏≰2001201)⨎(⫏≰21100022⩤)))⨪↰⇹(((⨈⫕⫏≰1101100)⫥∨⫟(⫏≰11122001⇼⇔∾⫏≰1101020))⩚⊴⇥(⫏≰20221110⨳⩥⨓⫏≰21112222/(-⫏≰12002102)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":601,"operation_count":15,"complexity_ratio":40.06666666666667,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3608,"base":3},"right_expr":{"type":"numeric_atoms","value":4649,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1390,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1267,"base":3},"right_expr":{"type":"numeric_atoms","value":1504,"base":3}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5354,"base":3}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1008,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3376,"base":3},"right_expr":{"type":"numeric_atoms","value":1005,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5061,"base":3},"right_expr":{"type":"numeric_atoms","value":5507,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3710,"base":3}}}}},"used_operators":["tmPS8pqC7x","T2fj7uvVaJ","Ph9nP6C5qx","fu6greOZ01","8jW3W4yZS5","rJVOvQCfKK","7j4O788W3g","Z2TMIBDE3Q","NTOWxs364D","KYD54nUTWz","megm06wKyl","tifHPKVTfV","XhwjNDsVaA","nCS4ZIUYfx","t8gj7n24qd"],"dependent_operators":["rJVOvQCfKK","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3608","layer":4},{"info":"number node, value=4649","layer":4},{"info":"compute binary expreesion, left_input=3608, right_input=4649, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1390","layer":4},{"info":"compute unary expreesion, input=1390, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-494","layer":2},{"info":"number node, value=1267","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=1267, 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=5354","layer":4},{"info":"compute unary expreesion, input=5354, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5354","layer":3},{"info":"compute binary expreesion, left_input=1504, right_input=-5354, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-5354","layer":2},{"info":"compute binary expreesion, left_input=-494, right_input=-5354, op_id = T2fj7uvVaJ 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=1008","layer":4},{"info":"compute unary expreesion, input=1008, 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=3376","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=3376, right_input=1005, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2371","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-2371, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=5061","layer":4},{"info":"number node, value=5507","layer":4},{"info":"compute binary expreesion, left_input=5061, right_input=5507, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=446","layer":3},{"info":"number node, value=3710","layer":4},{"info":"compute unary expreesion, input=3710, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3710","layer":3},{"info":"compute binary expreesion, left_input=446, right_input=-3710, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11221122⨐⩸⫘⫏≰20101012)≧⫂∧(↯⪼⫏≰1220111)⋓((⫏≰1201221↺⫏≰2001201)⨎(⫏≰21100022⩤)))⨪↰⇹(((⨈⫕⫏≰1101100)⫥∨⫟(⫏≰11122001⇼⇔∾⫏≰1101020))⩚⊴⇥(⫏≰20221110⨳⩥⨓⫏≰21112222/(-⫏≰12002102)))=⫏≰0","reverse_text":"⫏≰0=((⫏≰11221122⨐⩸⫘⫏≰20101012)≧⫂∧(↯⪼⫏≰1220111)⋓((⫏≰1201221↺⫏≰2001201)⨎(⫏≰21100022⩤)))⨪↰⇹(((⨈⫕⫏≰1101100)⫥∨⫟(⫏≰11122001⇼⇔∾⫏≰1101020))⩚⊴⇥(⫏≰20221110⨳⩥⨓⫏≰21112222/(-⫏≰12002102)))","cot":[{"info":"⫏≰11221122⨐⩸⫘⫏≰20101012=NaN","layer":3},{"info":"↯⪼⫏≰1220111=⫏≰-210","layer":3},{"info":"NaN≧⫂∧⫏≰-210=⫏≰-200022","layer":2},{"info":"⫏≰1201221↺⫏≰2001201=⫏≰2001201","layer":3},{"info":"⫏≰21100022⩤=⫏≰-21100022","layer":3},{"info":"⫏≰2001201⨎⫏≰-21100022=⫏≰-21100022","layer":2},{"info":"⫏≰-200022⋓⫏≰-21100022=⫏≰0","layer":1},{"info":"⨈⫕⫏≰1101100=⫏≰-210","layer":3},{"info":"⫏≰11122001⇼⇔∾⫏≰1101020=⫏≰-10020211","layer":3},{"info":"⫏≰-210⫥∨⫟⫏≰-10020211=NaN","layer":2},{"info":"⫏≰20221110⨳⩥⨓⫏≰21112222=⫏≰121112","layer":3},{"info":"-⫏≰12002102=⫏≰-12002102","layer":3},{"info":"⫏≰121112/⫏≰-12002102=⫏≰-1","layer":2},{"info":"NaN⩚⊴⇥⫏≰-1=NaN","layer":1},{"info":"⫏≰0⨪↰⇹NaN=⫏≰0","layer":0}]}
{"id":504,"expression_no_base_symbol":"⊄⩳↩((∂$5379$≹⇙⪍$1639$)≎⊠⪸(⩦⩻⨪(↥$4466$)))","expression":"⊄⩳↩((∂⫏≰21101020≹⇙⪍⫏≰2020201)≎⊠⪸(⩦⩻⨪(↥⫏≰20010102)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":107,"operation_count":6,"complexity_ratio":17.833333333333332,"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":5379,"base":3},"right_expr":{"type":"numeric_atoms","value":1639,"base":3}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4466,"base":3}}}}},"used_operators":["8w2t5hMYqp","bJkvcejdHO","Uaa54Peajs","AHs5Up7iyr","2td37pGCOC","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=5379","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=5379, right_input=1639, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"number node, value=4466","layer":4},{"info":"compute unary expreesion, input=4466, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=29","layer":3},{"info":"compute unary expreesion, input=29, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=29","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=29, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊄⩳↩((∂⫏≰21101020≹⇙⪍⫏≰2020201)≎⊠⪸(⩦⩻⨪(↥⫏≰20010102)))=NaN","reverse_text":"NaN=⊄⩳↩((∂⫏≰21101020≹⇙⪍⫏≰2020201)≎⊠⪸(⩦⩻⨪(↥⫏≰20010102)))","cot":[{"info":"⫏≰21101020≹⇙⪍⫏≰2020201=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"↥⫏≰20010102=⫏≰1002","layer":3},{"info":"⩦⩻⨪⫏≰1002=⫏≰1002","layer":2},{"info":"NaN≎⊠⪸⫏≰1002=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":505,"expression_no_base_symbol":"(≉($1387$-$1491$⪨≂$3809$⨽$2402$))⨓(($7164$⇷$1126$)⪢($2638$⋝⋈⪟$2161$))⨟⋌⩍($3730$⨐⩸⫘$1027$⩨($7644$⇼⇔∾$1179$))","expression":"(≉(⫏≰1220101-⫏≰2001020⪨≂⫏≰12020002⨽⫏≰10021222))⨓((⫏≰100211100⇷⫏≰1112201)⪢(⫏≰10121201⋝⋈⪟⫏≰2222001))⨟⋌⩍(⫏≰12010011⨐⩸⫘⫏≰1102001⩨(⫏≰101111010⇼⇔∾⫏≰1121200))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":106784,"operation_count":12,"complexity_ratio":8898.666666666666,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1387,"base":3},"right_expr":{"type":"numeric_atoms","value":1491,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3809,"base":3},"right_expr":{"type":"numeric_atoms","value":2402,"base":3}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7164,"base":3},"right_expr":{"type":"numeric_atoms","value":1126,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2638,"base":3},"right_expr":{"type":"numeric_atoms","value":2161,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3730,"base":3},"right_expr":{"type":"numeric_atoms","value":1027,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7644,"base":3},"right_expr":{"type":"numeric_atoms","value":1179,"base":3}}}}},"used_operators":["3ViojmjbAp","e1ybzncUwg","sdazOOVcIp","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","mp7IySMOzn","2DDjHMKMc0","2DlMacCsIx","fu6greOZ01","tifHPKVTfV"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1387","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=1491, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-104","layer":3},{"info":"number node, value=3809","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=3809, right_input=2402, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-43531335","layer":3},{"info":"compute binary expreesion, left_input=-104, right_input=-43531335, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=87062564","layer":2},{"info":"compute unary expreesion, input=87062564, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=87063095","layer":1},{"info":"number node, value=7164","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=7164, right_input=1126, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2252","layer":3},{"info":"number node, value=2638","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=2161, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2638","layer":3},{"info":"compute binary expreesion, left_input=2252, right_input=2638, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3730","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=3730, right_input=1027, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=7644","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=7644, right_input=1179, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6465","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6465, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=87063095, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≉(⫏≰1220101-⫏≰2001020⪨≂⫏≰12020002⨽⫏≰10021222))⨓((⫏≰100211100⇷⫏≰1112201)⪢(⫏≰10121201⋝⋈⪟⫏≰2222001))⨟⋌⩍(⫏≰12010011⨐⩸⫘⫏≰1102001⩨(⫏≰101111010⇼⇔∾⫏≰1121200))=NaN","reverse_text":"NaN=(≉(⫏≰1220101-⫏≰2001020⪨≂⫏≰12020002⨽⫏≰10021222))⨓((⫏≰100211100⇷⫏≰1112201)⪢(⫏≰10121201⋝⋈⪟⫏≰2222001))⨟⋌⩍(⫏≰12010011⨐⩸⫘⫏≰1102001⩨(⫏≰101111010⇼⇔∾⫏≰1121200))","cot":[{"info":"⫏≰1220101-⫏≰2001020=⫏≰-10212","layer":3},{"info":"⫏≰12020002⨽⫏≰10021222=⫏≰-10000220121202200","layer":3},{"info":"⫏≰-10212⪨≂⫏≰-10000220121202200=⫏≰20001211020101102","layer":2},{"info":"≉⫏≰20001211020101102=⫏≰20001211021010002","layer":1},{"info":"⫏≰100211100⇷⫏≰1112201=⫏≰10002102","layer":3},{"info":"⫏≰10121201⋝⋈⪟⫏≰2222001=⫏≰10121201","layer":3},{"info":"⫏≰10002102⪢⫏≰10121201=NaN","layer":2},{"info":"⫏≰12010011⨐⩸⫘⫏≰1102001=NaN","layer":3},{"info":"⫏≰101111010⇼⇔∾⫏≰1121200=⫏≰-22212110","layer":3},{"info":"NaN⩨⫏≰-22212110=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⫏≰20001211021010002⨓NaN=NaN","layer":0}]}
{"id":506,"expression_no_base_symbol":"((↩$1011$)∀⇚≩$4883$⨟⋌⩍$1705$⫌⩹⨱)≹⇙⪍(⫛⫱⨽(⨵≀≌($3380$⨵⪆$2497$)))","expression":"((↩⫏≰1101110)∀⇚≩⫏≰20200212⨟⋌⩍⫏≰2100011⫌⩹⨱)≹⇙⪍(⫛⫱⨽(⨵≀≌(⫏≰11122012⨵⪆⫏≰10102111)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":38767,"operation_count":8,"complexity_ratio":4845.875,"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":1011,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4883,"base":3},"right_expr":{"type":"numeric_atoms","value":1705,"base":3}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3380,"base":3},"right_expr":{"type":"numeric_atoms","value":2497,"base":3}}}}},"used_operators":["AHs5Up7iyr","EBcxylXtPf","LRNGc0VcxI","jLgFTUHLKL","rGHVDoGpnC","DlLNRPXxWL","srAu1WTS94","2DQ55sFlQl"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Tcnh7f0tEr","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5308","layer":3},{"info":"number node, value=4883","layer":4},{"info":"number node, value=1705","layer":4},{"info":"compute binary expreesion, left_input=4883, right_input=1705, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-5308, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"number node, value=3380","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=3380, right_input=2497, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=25600","layer":2},{"info":"compute unary expreesion, input=25600, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"((↩⫏≰1101110)∀⇚≩⫏≰20200212⨟⋌⩍⫏≰2100011⫌⩹⨱)≹⇙⪍(⫛⫱⨽(⨵≀≌(⫏≰11122012⨵⪆⫏≰10102111)))=NaN","reverse_text":"NaN=((↩⫏≰1101110)∀⇚≩⫏≰20200212⨟⋌⩍⫏≰2100011⫌⩹⨱)≹⇙⪍(⫛⫱⨽(⨵≀≌(⫏≰11122012⨵⪆⫏≰10102111)))","cot":[{"info":"↩⫏≰1101110=⫏≰-21021121","layer":3},{"info":"⫏≰20200212⨟⋌⩍⫏≰2100011=NaN","layer":3},{"info":"⫏≰-21021121∀⇚≩NaN=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"⫏≰11122012⨵⪆⫏≰10102111=⫏≰12221","layer":3},{"info":"⨵≀≌⫏≰12221=⫏≰1022010011","layer":2},{"info":"⫛⫱⨽⫏≰1022010011=⫏≰0","layer":1},{"info":"NaN≹⇙⪍⫏≰0=NaN","layer":0}]}
{"id":507,"expression_no_base_symbol":"(($5579$≋⫹)⨽$1733$⨐⩸⫘$4028$⨵⪆$1884$↬$3293$⩨$3124$⨳⩥⨓$1367$)↙(($5807$⨟⋌⩍$5313$⫡⨏$1195$⨪↰⇹$2874$)∸)","expression":"((⫏≰21122122≋⫹)⨽⫏≰2101012⨐⩸⫘⫏≰12112012⨵⪆⫏≰2120210↬⫏≰11111222⩨⫏≰11021201⨳⩥⨓⫏≰1212122)↙((⫏≰21222002⨟⋌⩍⫏≰21021210⫡⨏⫏≰1122021⨪↰⇹⫏≰10221110)∸)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12740,"operation_count":12,"complexity_ratio":1061.6666666666667,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5579,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1733,"base":3},"right_expr":{"type":"numeric_atoms","value":4028,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1884,"base":3},"right_expr":{"type":"numeric_atoms","value":3293,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3124,"base":3},"right_expr":{"type":"numeric_atoms","value":1367,"base":3}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5807,"base":3},"right_expr":{"type":"numeric_atoms","value":5313,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1195,"base":3},"right_expr":{"type":"numeric_atoms","value":2874,"base":3}}}}},"used_operators":["yyfyN0ffXY","2DQ55sFlQl","8HhzD0ZcuI","N41Kp7NANJ","fu6greOZ01","2DlMacCsIx","B5M0gjZbta","nCS4ZIUYfx","o20kRiQErp","QMFrweE19q","rGHVDoGpnC","tmPS8pqC7x"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rJVOvQCfKK"],"result":"⫏≰-201200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5579","layer":4},{"info":"compute unary expreesion, input=5579, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-11158","layer":3},{"info":"number node, value=1733","layer":4},{"info":"number node, value=4028","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=4028, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-11158, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1884","layer":4},{"info":"number node, value=3293","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=3293, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3124","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=3124, right_input=1367, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1757","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1757, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=5807","layer":4},{"info":"number node, value=5313","layer":4},{"info":"compute binary expreesion, left_input=5807, right_input=5313, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1195","layer":4},{"info":"number node, value=2874","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=2874, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1195","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1195, op_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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=177, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-531","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21122122≋⫹)⨽⫏≰2101012⨐⩸⫘⫏≰12112012⨵⪆⫏≰2120210↬⫏≰11111222⩨⫏≰11021201⨳⩥⨓⫏≰1212122)↙((⫏≰21222002⨟⋌⩍⫏≰21021210⫡⨏⫏≰1122021⨪↰⇹⫏≰10221110)∸)=⫏≰-201200","reverse_text":"⫏≰-201200=((⫏≰21122122≋⫹)⨽⫏≰2101012⨐⩸⫘⫏≰12112012⨵⪆⫏≰2120210↬⫏≰11111222⩨⫏≰11021201⨳⩥⨓⫏≰1212122)↙((⫏≰21222002⨟⋌⩍⫏≰21021210⫡⨏⫏≰1122021⨪↰⇹⫏≰10221110)∸)","cot":[{"info":"⫏≰21122122≋⫹=⫏≰-120022021","layer":3},{"info":"⫏≰2101012⨐⩸⫘⫏≰12112012=NaN","layer":3},{"info":"⫏≰-120022021⨽NaN=NaN","layer":2},{"info":"⫏≰2120210↬⫏≰11111222=NaN","layer":3},{"info":"⫏≰11021201⨳⩥⨓⫏≰1212122=⫏≰-2102002","layer":3},{"info":"NaN⩨⫏≰-2102002=NaN","layer":2},{"info":"NaN⨵⪆NaN=⫏≰12221","layer":1},{"info":"⫏≰21222002⨟⋌⩍⫏≰21021210=NaN","layer":3},{"info":"⫏≰1122021⨪↰⇹⫏≰10221110=⫏≰1122021","layer":3},{"info":"NaN⫡⨏⫏≰1122021=NaN","layer":2},{"info":"NaN∸=⫏≰20120","layer":1},{"info":"⫏≰12221↙⫏≰20120=⫏≰-201200","layer":0}]}
{"id":508,"expression_no_base_symbol":"((∥⊫$1947$⫥∨⫟$7808$)↺($4962$⩠)⪘⫢($1096$%$6529$))⨓(((⪝⪂⫅$2289$)*$1667$⋓$6705$)⩠)","expression":"((∥⊫⫏≰2200010⫥∨⫟⫏≰101201012)↺(⫏≰20210210⩠)⪘⫢(⫏≰1111121%⫏≰22221211))⨓(((⪝⪂⫅⫏≰10010210)*⫏≰2021202⋓⫏≰100012100)⩠)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":385,"operation_count":11,"complexity_ratio":35.0,"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":1947,"base":3},"right_expr":{"type":"numeric_atoms","value":7808,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4962,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1096,"base":3},"right_expr":{"type":"numeric_atoms","value":6529,"base":3}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2289,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1667,"base":3},"right_expr":{"type":"numeric_atoms","value":6705,"base":3}}}}},"used_operators":["3ViojmjbAp","7j4O788W3g","P8v4zCKN1o","KYD54nUTWz","oacrs7FA3X","sJAwomhLZr","k8jYdgA6NY","9HNa5Wba9A","XTarYq4gQB","T2fj7uvVaJ"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1947","layer":4},{"info":"number node, value=7808","layer":4},{"info":"compute binary expreesion, left_input=1947, right_input=7808, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":"number node, value=4962","layer":4},{"info":"compute unary expreesion, input=4962, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=6529","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=6529, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1096","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1096, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1156","layer":1},{"info":"number node, value=2289","layer":4},{"info":"compute unary expreesion, input=2289, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-336483","layer":3},{"info":"number node, value=1667","layer":4},{"info":"number node, value=6705","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=6705, op_id = T2fj7uvVaJ 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=-336483, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1156, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((∥⊫⫏≰2200010⫥∨⫟⫏≰101201012)↺(⫏≰20210210⩠)⪘⫢(⫏≰1111121%⫏≰22221211))⨓(((⪝⪂⫅⫏≰10010210)*⫏≰2021202⋓⫏≰100012100)⩠)=NaN","reverse_text":"NaN=((∥⊫⫏≰2200010⫥∨⫟⫏≰101201012)↺(⫏≰20210210⩠)⪘⫢(⫏≰1111121%⫏≰22221211))⨓(((⪝⪂⫅⫏≰10010210)*⫏≰2021202⋓⫏≰100012100)⩠)","cot":[{"info":"⫏≰2200010⫥∨⫟⫏≰101201012=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⫏≰20210210⩠=⫏≰0","layer":3},{"info":"⫏≰1111121%⫏≰22221211=⫏≰1111121","layer":3},{"info":"⫏≰0⪘⫢⫏≰1111121=⫏≰-1120211","layer":2},{"info":"NaN↺⫏≰-1120211=⫏≰-1120211","layer":1},{"info":"⪝⪂⫅⫏≰10010210=⫏≰-122002120100","layer":3},{"info":"⫏≰2021202⋓⫏≰100012100=⫏≰0","layer":3},{"info":"⫏≰-122002120100*⫏≰0=⫏≰0","layer":2},{"info":"⫏≰0⩠=NaN","layer":1},{"info":"⫏≰-1120211⨓NaN=NaN","layer":0}]}
{"id":509,"expression_no_base_symbol":"((($1635$⫌⩹⨱)⨎($5012$⊉≛↸$2777$))↬(($6241$⇼⇔∾$4602$)⨐⩸⫘$1593$≭$2917$))↬(($1596$⋷$1890$)⩚⊴⇥($4989$%$4803$)⨐⩸⫘(($4511$*$6979$)⫸⊐$1202$⨪↰⇹$2002$))","expression":"(((⫏≰2020120⫌⩹⨱)⨎(⫏≰20212122⊉≛↸⫏≰10210212))↬((⫏≰22120011⇼⇔∾⫏≰20022110)⨐⩸⫘⫏≰2012000≭⫏≰11000001))↬((⫏≰2012010⋷⫏≰2121000)⩚⊴⇥(⫏≰20211210%⫏≰20120220)⨐⩸⫘((⫏≰20012002*⫏≰100120111)⫸⊐⫏≰1122112⨪↰⇹⫏≰2202011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5761,"operation_count":15,"complexity_ratio":384.06666666666666,"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":1635,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5012,"base":3},"right_expr":{"type":"numeric_atoms","value":2777,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6241,"base":3},"right_expr":{"type":"numeric_atoms","value":4602,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1593,"base":3},"right_expr":{"type":"numeric_atoms","value":2917,"base":3}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1596,"base":3},"right_expr":{"type":"numeric_atoms","value":1890,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4989,"base":3},"right_expr":{"type":"numeric_atoms","value":4803,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4511,"base":3},"right_expr":{"type":"numeric_atoms","value":6979,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1202,"base":3},"right_expr":{"type":"numeric_atoms","value":2002,"base":3}}}}},"used_operators":["B5M0gjZbta","rJVOvQCfKK","EBcxylXtPf","DZ8iAZOCBD","fu6greOZ01","tifHPKVTfV","rxpJgHHUmx","NTOWxs364D","23Mk6UjR3U","k8jYdgA6NY","mqXw5SEYmG","9HNa5Wba9A","tmPS8pqC7x"],"dependent_operators":["rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"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":"number node, value=5012","layer":4},{"info":"number node, value=2777","layer":4},{"info":"compute binary expreesion, left_input=5012, right_input=2777, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10024","layer":3},{"info":"compute binary expreesion, left_input=4671, right_input=10024, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=10024","layer":2},{"info":"number node, value=6241","layer":4},{"info":"number node, value=4602","layer":4},{"info":"compute binary expreesion, left_input=6241, right_input=4602, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1639","layer":3},{"info":"number node, value=1593","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=2917, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-1639, 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=10024, 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=1596","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=1596, right_input=1890, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2184","layer":3},{"info":"number node, value=4989","layer":4},{"info":"number node, value=4803","layer":4},{"info":"compute binary expreesion, left_input=4989, right_input=4803, op_id = k8jYdgA6NY binary_op_definition= 'None', output=186","layer":3},{"info":"compute binary expreesion, left_input=2184, right_input=186, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2491","layer":2},{"info":"number node, value=4511","layer":4},{"info":"number node, value=6979","layer":4},{"info":"compute binary expreesion, left_input=4511, right_input=6979, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=31482269","layer":3},{"info":"number node, value=1202","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=2002, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1202","layer":3},{"info":"compute binary expreesion, left_input=31482269, right_input=1202, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4683","layer":2},{"info":"compute binary expreesion, left_input=-2491, right_input=4683, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":3,"result_base":3,"text":"(((⫏≰2020120⫌⩹⨱)⨎(⫏≰20212122⊉≛↸⫏≰10210212))↬((⫏≰22120011⇼⇔∾⫏≰20022110)⨐⩸⫘⫏≰2012000≭⫏≰11000001))↬((⫏≰2012010⋷⫏≰2121000)⩚⊴⇥(⫏≰20211210%⫏≰20120220)⨐⩸⫘((⫏≰20012002*⫏≰100120111)⫸⊐⫏≰1122112⨪↰⇹⫏≰2202011))=NaN","reverse_text":"NaN=(((⫏≰2020120⫌⩹⨱)⨎(⫏≰20212122⊉≛↸⫏≰10210212))↬((⫏≰22120011⇼⇔∾⫏≰20022110)⨐⩸⫘⫏≰2012000≭⫏≰11000001))↬((⫏≰2012010⋷⫏≰2121000)⩚⊴⇥(⫏≰20211210%⫏≰20120220)⨐⩸⫘((⫏≰20012002*⫏≰100120111)⫸⊐⫏≰1122112⨪↰⇹⫏≰2202011))","cot":[{"info":"⫏≰2020120⫌⩹⨱=⫏≰20102000","layer":3},{"info":"⫏≰20212122⊉≛↸⫏≰10210212=⫏≰111202021","layer":3},{"info":"⫏≰20102000⨎⫏≰111202021=⫏≰111202021","layer":2},{"info":"⫏≰22120011⇼⇔∾⫏≰20022110=⫏≰-2020201","layer":3},{"info":"⫏≰2012000≭⫏≰11000001=NaN","layer":3},{"info":"⫏≰-2020201⨐⩸⫘NaN=NaN","layer":2},{"info":"⫏≰111202021↬NaN=NaN","layer":1},{"info":"⫏≰2012010⋷⫏≰2121000=⫏≰2222220","layer":3},{"info":"⫏≰20211210%⫏≰20120220=⫏≰20220","layer":3},{"info":"⫏≰2222220⩚⊴⇥⫏≰20220=⫏≰-10102021","layer":2},{"info":"⫏≰20012002*⫏≰100120111=⫏≰2012020110112222","layer":3},{"info":"⫏≰1122112⨪↰⇹⫏≰2202011=⫏≰1122112","layer":3},{"info":"⫏≰2012020110112222⫸⊐⫏≰1122112=⫏≰20102110","layer":2},{"info":"⫏≰-10102021⨐⩸⫘⫏≰20102110=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":510,"expression_no_base_symbol":"(($2445$⪒$1898$)⩚⊴⇥($2767$/$7987$)⋥≓≎(∥⊫($2374$-$2063$)))⩷∴(⨰⫟⨤($4871$⨪↰⇹$3295$⋥≓≎$1565$⋥≓≎$1880$))","expression":"((⫏≰10100120⪒⫏≰2121022)⩚⊴⇥(⫏≰10210111/⫏≰101221211)⋥≓≎(∥⊫(⫏≰10020221-⫏≰2211102)))⩷∴(⨰⫟⨤(⫏≰20200102⨪↰⇹⫏≰11112001⋥≓≎⫏≰2010222⋥≓≎⫏≰2120122))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7321,"operation_count":11,"complexity_ratio":665.5454545454545,"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":2445,"base":3},"right_expr":{"type":"numeric_atoms","value":1898,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2767,"base":3},"right_expr":{"type":"numeric_atoms","value":7987,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2374,"base":3},"right_expr":{"type":"numeric_atoms","value":2063,"base":3}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4871,"base":3},"right_expr":{"type":"numeric_atoms","value":3295,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1565,"base":3},"right_expr":{"type":"numeric_atoms","value":1880,"base":3}}}}},"used_operators":["9FxExcQeMw","Qy55tPpLXF","NTOWxs364D","f6k1SAg4EE","XhwjNDsVaA","P8v4zCKN1o","rysDP5nf3Z","Tw270M8GLb","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2445","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=2445, right_input=1898, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4343","layer":3},{"info":"number node, value=2767","layer":4},{"info":"number node, value=7987","layer":4},{"info":"compute binary expreesion, left_input=2767, right_input=7987, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4343, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=4222","layer":2},{"info":"number node, value=2374","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=2063, op_id = rysDP5nf3Z binary_op_definition= 'None', output=311","layer":3},{"info":"compute unary expreesion, input=311, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1179","layer":2},{"info":"compute binary expreesion, left_input=4222, right_input=1179, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1831","layer":1},{"info":"number node, value=4871","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=4871, right_input=3295, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4871","layer":3},{"info":"number node, value=1565","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=1565, right_input=1880, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2228","layer":3},{"info":"compute binary expreesion, left_input=4871, right_input=2228, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-382","layer":2},{"info":"compute unary expreesion, input=-382, 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=-1831, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10100120⪒⫏≰2121022)⩚⊴⇥(⫏≰10210111/⫏≰101221211)⋥≓≎(∥⊫(⫏≰10020221-⫏≰2211102)))⩷∴(⨰⫟⨤(⫏≰20200102⨪↰⇹⫏≰11112001⋥≓≎⫏≰2010222⋥≓≎⫏≰2120122))=NaN","reverse_text":"NaN=((⫏≰10100120⪒⫏≰2121022)⩚⊴⇥(⫏≰10210111/⫏≰101221211)⋥≓≎(∥⊫(⫏≰10020221-⫏≰2211102)))⩷∴(⨰⫟⨤(⫏≰20200102⨪↰⇹⫏≰11112001⋥≓≎⫏≰2010222⋥≓≎⫏≰2120122))","cot":[{"info":"⫏≰10100120⪒⫏≰2121022=⫏≰-12221212","layer":3},{"info":"⫏≰10210111/⫏≰101221211=⫏≰0","layer":3},{"info":"⫏≰-12221212⩚⊴⇥⫏≰0=⫏≰12210101","layer":2},{"info":"⫏≰10020221-⫏≰2211102=⫏≰102112","layer":3},{"info":"∥⊫⫏≰102112=⫏≰1121200","layer":2},{"info":"⫏≰12210101⋥≓≎⫏≰1121200=⫏≰-2111211","layer":1},{"info":"⫏≰20200102⨪↰⇹⫏≰11112001=⫏≰20200102","layer":3},{"info":"⫏≰2010222⋥≓≎⫏≰2120122=⫏≰10001112","layer":3},{"info":"⫏≰20200102⋥≓≎⫏≰10001112=⫏≰-112011","layer":2},{"info":"⨰⫟⨤⫏≰-112011=NaN","layer":1},{"info":"⫏≰-2111211⩷∴NaN=NaN","layer":0}]}
{"id":511,"expression_no_base_symbol":"($5360$⇼⇔∾$8004$)≧⫂∧$1507$∀⇚≩$1480$⋝⋈⪟(($1309$⨁⊸⫻)⪐)≭((⪝⪂⫅($7607$⨐⩸⫘$1065$))⨽($1337$⨎$1037$)⨟⋌⩍($6640$⪒$6274$))","expression":"(⫏≰21100112⇼⇔∾⫏≰101222110)≧⫂∧⫏≰2001211∀⇚≩⫏≰2000211⋝⋈⪟((⫏≰1210111⨁⊸⫻)⪐)≭((⪝⪂⫅(⫏≰101102202⨐⩸⫘⫏≰1110110))⨽(⫏≰1211112⨎⫏≰1102102)⨟⋌⩍(⫏≰100002221⪒⫏≰22121101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10579,"operation_count":13,"complexity_ratio":813.7692307692307,"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":5360,"base":3},"right_expr":{"type":"numeric_atoms","value":8004,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1507,"base":3},"right_expr":{"type":"numeric_atoms","value":1480,"base":3}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1309,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7607,"base":3},"right_expr":{"type":"numeric_atoms","value":1065,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1337,"base":3},"right_expr":{"type":"numeric_atoms","value":1037,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6640,"base":3},"right_expr":{"type":"numeric_atoms","value":6274,"base":3}}}}},"used_operators":["rxpJgHHUmx","2DDjHMKMc0","Ph9nP6C5qx","tifHPKVTfV","LRNGc0VcxI","eH2TOUuTDT","glklzrTFfD","8HhzD0ZcuI","XTarYq4gQB","fu6greOZ01","rGHVDoGpnC","rJVOvQCfKK","f6k1SAg4EE"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","8w2t5hMYqp","3ViojmjbAp","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5360","layer":4},{"info":"number node, value=8004","layer":4},{"info":"compute binary expreesion, left_input=5360, right_input=8004, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2644","layer":3},{"info":"number node, value=1507","layer":4},{"info":"number node, value=1480","layer":4},{"info":"compute binary expreesion, left_input=1507, right_input=1480, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2644, 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=1309","layer":4},{"info":"compute unary expreesion, input=1309, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1309","layer":3},{"info":"compute unary expreesion, input=1309, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2618","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2618, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=7607","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=7607, right_input=1065, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1337","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=1037, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1037","layer":3},{"info":"number node, value=6640","layer":4},{"info":"number node, value=6274","layer":4},{"info":"compute binary expreesion, left_input=6640, right_input=6274, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12914","layer":3},{"info":"compute binary expreesion, left_input=1037, right_input=-12914, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"(⫏≰21100112⇼⇔∾⫏≰101222110)≧⫂∧⫏≰2001211∀⇚≩⫏≰2000211⋝⋈⪟((⫏≰1210111⨁⊸⫻)⪐)≭((⪝⪂⫅(⫏≰101102202⨐⩸⫘⫏≰1110110))⨽(⫏≰1211112⨎⫏≰1102102)⨟⋌⩍(⫏≰100002221⪒⫏≰22121101))=NaN","reverse_text":"NaN=(⫏≰21100112⇼⇔∾⫏≰101222110)≧⫂∧⫏≰2001211∀⇚≩⫏≰2000211⋝⋈⪟((⫏≰1210111⨁⊸⫻)⪐)≭((⪝⪂⫅(⫏≰101102202⨐⩸⫘⫏≰1110110))⨽(⫏≰1211112⨎⫏≰1102102)⨟⋌⩍(⫏≰100002221⪒⫏≰22121101))","cot":[{"info":"⫏≰21100112⇼⇔∾⫏≰101222110=⫏≰10121221","layer":3},{"info":"⫏≰2001211∀⇚≩⫏≰2000211=NaN","layer":3},{"info":"⫏≰10121221≧⫂∧NaN=NaN","layer":2},{"info":"⫏≰1210111⨁⊸⫻=⫏≰1210111","layer":3},{"info":"⫏≰1210111⪐=⫏≰10120222","layer":2},{"info":"NaN⋝⋈⪟⫏≰10120222=NaN","layer":1},{"info":"⫏≰101102202⨐⩸⫘⫏≰1110110=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⫏≰1211112⨎⫏≰1102102=⫏≰1102102","layer":3},{"info":"⫏≰100002221⪒⫏≰22121101=⫏≰-122201022","layer":3},{"info":"⫏≰1102102⨟⋌⩍⫏≰-122201022=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":512,"expression_no_base_symbol":"(↽≂($5802$∲⫓$1732$))⇼⇔∾($3627$⪘⫢$1875$⋷(⫓⪴$6336$))*(($1344$+$1964$)⨐⩸⫘(⫓⪴$5703$)⨵⪆$2178$∼$2820$+⇶⊼($1615$⨁⊸⫻))","expression":"(↽≂(⫏≰21221220∲⫓⫏≰2101011))⇼⇔∾(⫏≰11222100⪘⫢⫏≰2120110⋷(⫓⪴⫏≰22200200))*((⫏≰1211210+⫏≰2200202)⨐⩸⫘(⫓⪴⫏≰21211020)⨵⪆⫏≰2222200∼⫏≰10212110+⇶⊼(⫏≰2012211⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12273,"operation_count":14,"complexity_ratio":876.6428571428571,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5802,"base":3},"right_expr":{"type":"numeric_atoms","value":1732,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3627,"base":3},"right_expr":{"type":"numeric_atoms","value":1875,"base":3}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6336,"base":3}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1344,"base":3},"right_expr":{"type":"numeric_atoms","value":1964,"base":3}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5703,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2178,"base":3},"right_expr":{"type":"numeric_atoms","value":2820,"base":3}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1615,"base":3}}}}},"used_operators":["9HNa5Wba9A","tifHPKVTfV","u6S6b8DprG","i8ToyICDmI","23Mk6UjR3U","oacrs7FA3X","eLxqMNBOBk","2DQ55sFlQl","fu6greOZ01","W4YGzv6Whe","TpPTUOHfaN","DyGG3AbaNP","glklzrTFfD"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"Inf","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5802","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=5802, right_input=1732, 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 = 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":"number node, value=3627","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=3627, right_input=1875, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7130","layer":3},{"info":"number node, value=6336","layer":4},{"info":"compute unary expreesion, input=6336, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=40144896","layer":3},{"info":"compute binary expreesion, left_input=7130, right_input=40144896, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=80282662","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=80282662, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=80282662","layer":1},{"info":"number node, value=1344","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=1964, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3308","layer":3},{"info":"number node, value=5703","layer":4},{"info":"compute unary expreesion, input=5703, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=32524209","layer":3},{"info":"compute binary expreesion, left_input=3308, right_input=32524209, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2178","layer":4},{"info":"number node, value=2820","layer":4},{"info":"compute binary expreesion, left_input=2178, right_input=2820, 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=1615","layer":4},{"info":"compute unary expreesion, input=1615, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1615","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1615, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=80282662, right_input=160, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":0}],"base":3,"result_base":3,"text":"(↽≂(⫏≰21221220∲⫓⫏≰2101011))⇼⇔∾(⫏≰11222100⪘⫢⫏≰2120110⋷(⫓⪴⫏≰22200200))*((⫏≰1211210+⫏≰2200202)⨐⩸⫘(⫓⪴⫏≰21211020)⨵⪆⫏≰2222200∼⫏≰10212110+⇶⊼(⫏≰2012211⨁⊸⫻))=Inf","reverse_text":"Inf=(↽≂(⫏≰21221220∲⫓⫏≰2101011))⇼⇔∾(⫏≰11222100⪘⫢⫏≰2120110⋷(⫓⪴⫏≰22200200))*((⫏≰1211210+⫏≰2200202)⨐⩸⫘(⫓⪴⫏≰21211020)⨵⪆⫏≰2222200∼⫏≰10212110+⇶⊼(⫏≰2012211⨁⊸⫻))","cot":[{"info":"⫏≰21221220∲⫓⫏≰2101011=⫏≰0","layer":3},{"info":"↽≂⫏≰0=⫏≰0","layer":2},{"info":"⫏≰11222100⪘⫢⫏≰2120110=⫏≰100210002","layer":3},{"info":"⫓⪴⫏≰22200200=⫏≰2210112120110000","layer":3},{"info":"⫏≰100210002⋷⫏≰2210112120110000=⫏≰12121001210002221","layer":2},{"info":"⫏≰0⇼⇔∾⫏≰12121001210002221=⫏≰12121001210002221","layer":1},{"info":"⫏≰1211210+⫏≰2200202=⫏≰11112112","layer":3},{"info":"⫓⪴⫏≰21211020=⫏≰2021012101211100","layer":3},{"info":"⫏≰11112112⨐⩸⫘⫏≰2021012101211100=NaN","layer":2},{"info":"⫏≰2222200∼⫏≰10212110=NaN","layer":3},{"info":"⫏≰2012211⨁⊸⫻=⫏≰2012211","layer":3},{"info":"NaN+⇶⊼⫏≰2012211=NaN","layer":2},{"info":"NaN⨵⪆NaN=⫏≰12221","layer":1},{"info":"⫏≰12121001210002221*⫏≰12221=Inf","layer":0}]}
{"id":513,"expression_no_base_symbol":"(($1361$⨟⋌⩍$2571$∲⫓($6547$+$6064$))⫸⊐(⨵≀≌$1511$)⪢(↔$3674$))⋥≓≎((⨈⫕$1228$↬$3903$)≦≮≮)","expression":"((⫏≰1212102⨟⋌⩍⫏≰10112020∲⫓(⫏≰22222111+⫏≰22022121))⫸⊐(⨵≀≌⫏≰2001222)⪢(↔⫏≰12001002))⋥≓≎((⨈⫕⫏≰1200111↬⫏≰12100120)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6637,"operation_count":11,"complexity_ratio":603.3636363636364,"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":1361,"base":3},"right_expr":{"type":"numeric_atoms","value":2571,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6547,"base":3},"right_expr":{"type":"numeric_atoms","value":6064,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1511,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3674,"base":3}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1228,"base":3},"right_expr":{"type":"numeric_atoms","value":3903,"base":3}}}}},"used_operators":["Qy55tPpLXF","mqXw5SEYmG","i8ToyICDmI","rGHVDoGpnC","W4YGzv6Whe","dWAJyo7jo9","srAu1WTS94","ruOEQAzv1W","D4vGDi5EA2","megm06wKyl","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC"],"result":"⫏≰12220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1361","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=2571, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=6547","layer":4},{"info":"number node, value=6064","layer":4},{"info":"compute binary expreesion, left_input=6547, right_input=6064, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12611","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12611, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1511","layer":4},{"info":"compute unary expreesion, input=1511, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4533","layer":3},{"info":"number node, value=3674","layer":4},{"info":"compute unary expreesion, input=3674, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3401","layer":3},{"info":"compute binary expreesion, left_input=-4533, right_input=-3401, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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":"number node, value=1228","layer":4},{"info":"number node, value=3903","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=3903, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=63","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=63, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=159","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1212102⨟⋌⩍⫏≰10112020∲⫓(⫏≰22222111+⫏≰22022121))⫸⊐(⨵≀≌⫏≰2001222)⪢(↔⫏≰12001002))⋥≓≎((⨈⫕⫏≰1200111↬⫏≰12100120)≦≮≮)=⫏≰12220","reverse_text":"⫏≰12220=((⫏≰1212102⨟⋌⩍⫏≰10112020∲⫓(⫏≰22222111+⫏≰22022121))⫸⊐(⨵≀≌⫏≰2001222)⪢(↔⫏≰12001002))⋥≓≎((⨈⫕⫏≰1200111↬⫏≰12100120)≦≮≮)","cot":[{"info":"⫏≰1212102⨟⋌⩍⫏≰10112020=NaN","layer":3},{"info":"⫏≰22222111+⫏≰22022121=⫏≰122022002","layer":3},{"info":"NaN∲⫓⫏≰122022002=⫏≰0","layer":2},{"info":"⨵≀≌⫏≰2001222=⫏≰-20012220","layer":3},{"info":"↔⫏≰12001002=⫏≰-11122222","layer":3},{"info":"⫏≰-20012220⪢⫏≰-11122222=NaN","layer":2},{"info":"⫏≰0⫸⊐NaN=⫏≰0","layer":1},{"info":"⫏≰1200111↬⫏≰12100120=NaN","layer":3},{"info":"⨈⫕NaN=⫏≰-210","layer":2},{"info":"⫏≰-210≦≮≮=⫏≰2100","layer":1},{"info":"⫏≰0⋥≓≎⫏≰2100=⫏≰12220","layer":0}]}
{"id":514,"expression_no_base_symbol":"(($5491$⊘)⫥∨⫟$1877$⊴$2320$⨐⩸⫘($2765$⨎$2175$⨵⪆($2081$/$1137$)))⋥≓≎($1189$⨪↰⇹$1643$*$2529$⩷∴$1020$-($1088$⪒$3584$)⨐⩸⫘($3561$+$4829$))","expression":"((⫏≰21112101⊘)⫥∨⫟⫏≰2120112⊴⫏≰10011221⨐⩸⫘(⫏≰10210102⨎⫏≰2222120⨵⪆(⫏≰2212002/⫏≰1120010)))⋥≓≎(⫏≰1122001⨪↰⇹⫏≰2020212*⫏≰10110200⩷∴⫏≰1101210-(⫏≰1111022⪒⫏≰11220202)⨐⩸⫘(⫏≰11212220+⫏≰20121212))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31456,"operation_count":15,"complexity_ratio":2097.0666666666666,"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":5491,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1877,"base":3},"right_expr":{"type":"numeric_atoms","value":2320,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2765,"base":3},"right_expr":{"type":"numeric_atoms","value":2175,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2081,"base":3},"right_expr":{"type":"numeric_atoms","value":1137,"base":3}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1189,"base":3},"right_expr":{"type":"numeric_atoms","value":1643,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2529,"base":3},"right_expr":{"type":"numeric_atoms","value":1020,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1088,"base":3},"right_expr":{"type":"numeric_atoms","value":3584,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3561,"base":3},"right_expr":{"type":"numeric_atoms","value":4829,"base":3}}}}},"used_operators":["Qy55tPpLXF","fu6greOZ01","KYD54nUTWz","gu96TGCTMs","Nsiff2A1zJ","2DQ55sFlQl","rJVOvQCfKK","XhwjNDsVaA","rysDP5nf3Z","9HNa5Wba9A","tmPS8pqC7x","9FxExcQeMw","f6k1SAg4EE","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5491","layer":4},{"info":"compute unary expreesion, input=5491, 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=1877","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=2320, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2765","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=2765, right_input=2175, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2175","layer":3},{"info":"number node, value=2081","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=1137, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=2175, right_input=1, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(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":1},{"info":"number node, value=1189","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=1643, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1189","layer":3},{"info":"number node, value=2529","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=2529, right_input=1020, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2986","layer":3},{"info":"compute binary expreesion, left_input=1189, right_input=2986, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3550354","layer":2},{"info":"number node, value=1088","layer":4},{"info":"number node, value=3584","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=3584, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4672","layer":3},{"info":"number node, value=3561","layer":4},{"info":"number node, value=4829","layer":4},{"info":"compute binary expreesion, left_input=3561, right_input=4829, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8390","layer":3},{"info":"compute binary expreesion, left_input=-4672, right_input=8390, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3550354, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-163, 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":3,"result_base":3,"text":"((⫏≰21112101⊘)⫥∨⫟⫏≰2120112⊴⫏≰10011221⨐⩸⫘(⫏≰10210102⨎⫏≰2222120⨵⪆(⫏≰2212002/⫏≰1120010)))⋥≓≎(⫏≰1122001⨪↰⇹⫏≰2020212*⫏≰10110200⩷∴⫏≰1101210-(⫏≰1111022⪒⫏≰11220202)⨐⩸⫘(⫏≰11212220+⫏≰20121212))=NaN","reverse_text":"NaN=((⫏≰21112101⊘)⫥∨⫟⫏≰2120112⊴⫏≰10011221⨐⩸⫘(⫏≰10210102⨎⫏≰2222120⨵⪆(⫏≰2212002/⫏≰1120010)))⋥≓≎(⫏≰1122001⨪↰⇹⫏≰2020212*⫏≰10110200⩷∴⫏≰1101210-(⫏≰1111022⪒⫏≰11220202)⨐⩸⫘(⫏≰11212220+⫏≰20121212))","cot":[{"info":"⫏≰21112101⊘=⫏≰0","layer":3},{"info":"⫏≰2120112⊴⫏≰10011221=NaN","layer":3},{"info":"⫏≰0⫥∨⫟NaN=NaN","layer":2},{"info":"⫏≰10210102⨎⫏≰2222120=⫏≰2222120","layer":3},{"info":"⫏≰2212002/⫏≰1120010=⫏≰1","layer":3},{"info":"⫏≰2222120⨵⪆⫏≰1=⫏≰12221","layer":2},{"info":"NaN⨐⩸⫘⫏≰12221=⫏≰-20001","layer":1},{"info":"⫏≰1122001⨪↰⇹⫏≰2020212=⫏≰1122001","layer":3},{"info":"⫏≰10110200⩷∴⫏≰1101210=⫏≰11002121","layer":3},{"info":"⫏≰1122001*⫏≰11002121=⫏≰20200101011121","layer":2},{"info":"⫏≰1111022⪒⫏≰11220202=⫏≰-20102001","layer":3},{"info":"⫏≰11212220+⫏≰20121212=⫏≰102111202","layer":3},{"info":"⫏≰-20102001⨐⩸⫘⫏≰102111202=NaN","layer":2},{"info":"⫏≰20200101011121-NaN=NaN","layer":1},{"info":"⫏≰-20001⋥≓≎NaN=NaN","layer":0}]}
{"id":515,"expression_no_base_symbol":"(($4908$+⇶⊼$4538$)⨓$6011$≹⇙⪍$2187$)≹⇙⪍((⨈⫕$4952$)∲⫓$5036$⇼⇔∾$1812$)⨟⋌⩍(($4120$⋳⪒$8688$)⋝⋈⪟($5675$⋫)↺((↽≂$2408$)/$1706$+⇶⊼$1492$))","expression":"((⫏≰20201210+⇶⊼⫏≰20020002)⨓⫏≰22020122≹⇙⪍⫏≰10000000)≹⇙⪍((⨈⫕⫏≰20210102)∲⫓⫏≰20220112⇼⇔∾⫏≰2111010)⨟⋌⩍((⫏≰12122121⋳⪒⫏≰102220210)⋝⋈⪟(⫏≰21210012⋫)↺((↽≂⫏≰10022012)/⫏≰2100012+⇶⊼⫏≰2001021))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6532,"operation_count":15,"complexity_ratio":435.46666666666664,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4908,"base":3},"right_expr":{"type":"numeric_atoms","value":4538,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6011,"base":3},"right_expr":{"type":"numeric_atoms","value":2187,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4952,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5036,"base":3},"right_expr":{"type":"numeric_atoms","value":1812,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4120,"base":3},"right_expr":{"type":"numeric_atoms","value":8688,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5675,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2408,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1706,"base":3},"right_expr":{"type":"numeric_atoms","value":1492,"base":3}}}}},"used_operators":["rGHVDoGpnC","AHs5Up7iyr","3ViojmjbAp","TpPTUOHfaN","i8ToyICDmI","megm06wKyl","tifHPKVTfV","7j4O788W3g","2DDjHMKMc0","12rbrZMWeM","JL8yIekQnl","XhwjNDsVaA","u6S6b8DprG"],"dependent_operators":["Tcnh7f0tEr","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4908","layer":4},{"info":"number node, value=4538","layer":4},{"info":"compute binary expreesion, left_input=4908, right_input=4538, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=6011","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=6011, right_input=2187, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=4952","layer":4},{"info":"compute unary expreesion, input=4952, 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=5036","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=5036, right_input=1812, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3224","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-3224, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4120","layer":4},{"info":"number node, value=8688","layer":4},{"info":"compute binary expreesion, left_input=4120, right_input=8688, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-735","layer":3},{"info":"number node, value=5675","layer":4},{"info":"compute unary expreesion, input=5675, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5675","layer":3},{"info":"compute binary expreesion, left_input=-735, right_input=5675, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-735","layer":2},{"info":"number node, value=2408","layer":4},{"info":"compute unary expreesion, input=2408, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4816","layer":3},{"info":"number node, value=1706","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=1492, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-4816, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-735, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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":3,"result_base":3,"text":"((⫏≰20201210+⇶⊼⫏≰20020002)⨓⫏≰22020122≹⇙⪍⫏≰10000000)≹⇙⪍((⨈⫕⫏≰20210102)∲⫓⫏≰20220112⇼⇔∾⫏≰2111010)⨟⋌⩍((⫏≰12122121⋳⪒⫏≰102220210)⋝⋈⪟(⫏≰21210012⋫)↺((↽≂⫏≰10022012)/⫏≰2100012+⇶⊼⫏≰2001021))=NaN","reverse_text":"NaN=((⫏≰20201210+⇶⊼⫏≰20020002)⨓⫏≰22020122≹⇙⪍⫏≰10000000)≹⇙⪍((⨈⫕⫏≰20210102)∲⫓⫏≰20220112⇼⇔∾⫏≰2111010)⨟⋌⩍((⫏≰12122121⋳⪒⫏≰102220210)⋝⋈⪟(⫏≰21210012⋫)↺((↽≂⫏≰10022012)/⫏≰2100012+⇶⊼⫏≰2001021))","cot":[{"info":"⫏≰20201210+⇶⊼⫏≰20020002=NaN","layer":3},{"info":"⫏≰22020122≹⇙⪍⫏≰10000000=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"⨈⫕⫏≰20210102=⫏≰-210","layer":3},{"info":"⫏≰20220112⇼⇔∾⫏≰2111010=⫏≰-11102102","layer":3},{"info":"⫏≰-210∲⫓⫏≰-11102102=⫏≰-210","layer":2},{"info":"NaN≹⇙⪍⫏≰-210=NaN","layer":1},{"info":"⫏≰12122121⋳⪒⫏≰102220210=⫏≰-1000020","layer":3},{"info":"⫏≰21210012⋫=⫏≰21210012","layer":3},{"info":"⫏≰-1000020⋝⋈⪟⫏≰21210012=⫏≰-1000020","layer":2},{"info":"↽≂⫏≰10022012=⫏≰-20121101","layer":3},{"info":"⫏≰2100012+⇶⊼⫏≰2001021=NaN","layer":3},{"info":"⫏≰-20121101/NaN=NaN","layer":2},{"info":"⫏≰-1000020↺NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":516,"expression_no_base_symbol":"(∥⊫(⨞⊢(∂$2768$)))∀⇚≩(($3531$≧⫂∧$8508$⫡⨏$1708$⇷$2200$)⩨($1005$⫸⊐$1029$)⋳⪒$1590$∀⇚≩$3973$)","expression":"(∥⊫(⨞⊢(∂⫏≰10210112)))∀⇚≩((⫏≰11211210≧⫂∧⫏≰102200010⫡⨏⫏≰2100021⇷⫏≰10000111)⩨(⫏≰1101020⫸⊐⫏≰1102010)⋳⪒⫏≰2011220∀⇚≩⫏≰12110011)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35098,"operation_count":11,"complexity_ratio":3190.7272727272725,"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":2768,"base":3}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3531,"base":3},"right_expr":{"type":"numeric_atoms","value":8508,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1708,"base":3},"right_expr":{"type":"numeric_atoms","value":2200,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1005,"base":3},"right_expr":{"type":"numeric_atoms","value":1029,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1590,"base":3},"right_expr":{"type":"numeric_atoms","value":3973,"base":3}}}}},"used_operators":["LRNGc0VcxI","P8v4zCKN1o","xUOZtlo3hN","Uaa54Peajs","2DlMacCsIx","QMFrweE19q","Ph9nP6C5qx","mp7IySMOzn","12rbrZMWeM","mqXw5SEYmG"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2768","layer":4},{"info":"compute unary expreesion, input=2768, 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 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=3531","layer":4},{"info":"number node, value=8508","layer":4},{"info":"compute binary expreesion, left_input=3531, right_input=8508, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8035","layer":3},{"info":"number node, value=1708","layer":4},{"info":"number node, value=2200","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=2200, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4400","layer":3},{"info":"compute binary expreesion, left_input=8035, right_input=4400, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=49758","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1029, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3991","layer":3},{"info":"number node, value=1590","layer":4},{"info":"number node, value=3973","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=3973, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3991, 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=49758, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":3,"result_base":3,"text":"(∥⊫(⨞⊢(∂⫏≰10210112)))∀⇚≩((⫏≰11211210≧⫂∧⫏≰102200010⫡⨏⫏≰2100021⇷⫏≰10000111)⩨(⫏≰1101020⫸⊐⫏≰1102010)⋳⪒⫏≰2011220∀⇚≩⫏≰12110011)=NaN","reverse_text":"NaN=(∥⊫(⨞⊢(∂⫏≰10210112)))∀⇚≩((⫏≰11211210≧⫂∧⫏≰102200010⫡⨏⫏≰2100021⇷⫏≰10000111)⩨(⫏≰1101020⫸⊐⫏≰1102010)⋳⪒⫏≰2011220∀⇚≩⫏≰12110011)","cot":[{"info":"∂⫏≰10210112=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⫏≰11211210≧⫂∧⫏≰102200010=⫏≰102000121","layer":3},{"info":"⫏≰2100021⇷⫏≰10000111=⫏≰20000222","layer":3},{"info":"⫏≰102000121⫡⨏⫏≰20000222=⫏≰2112020220","layer":2},{"info":"⫏≰1101020⫸⊐⫏≰1102010=⫏≰12110211","layer":3},{"info":"⫏≰2011220∀⇚≩⫏≰12110011=NaN","layer":3},{"info":"⫏≰12110211⋳⪒NaN=NaN","layer":2},{"info":"⫏≰2112020220⩨NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":517,"expression_no_base_symbol":"((($2796$⊭∹↮)⊠≄⫣)+⇶⊼($2709$⪄$2830$%($2784$∸)))∀⇚≩($3696$⨟⋌⩍$1255$∼(+⊝⨔$3606$)⫡⨏(⫓⪴($1075$*$1475$)))","expression":"(((⫏≰10211120⊭∹↮)⊠≄⫣)+⇶⊼(⫏≰10201100⪄⫏≰10212211%(⫏≰10211010∸)))∀⇚≩(⫏≰12001220⨟⋌⩍⫏≰1201111∼(+⊝⨔⫏≰11221120)⫡⨏(⫓⪴(⫏≰1110211*⫏≰2000122)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1589341,"operation_count":13,"complexity_ratio":122257.0,"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":2796,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2709,"base":3},"right_expr":{"type":"numeric_atoms","value":2830,"base":3}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2784,"base":3}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3696,"base":3},"right_expr":{"type":"numeric_atoms","value":1255,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3606,"base":3}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1075,"base":3},"right_expr":{"type":"numeric_atoms","value":1475,"base":3}}}}},"used_operators":["LRNGc0VcxI","TpPTUOHfaN","DIvbN7qnHd","xNBdhnnwKq","k8jYdgA6NY","SUmda5xLS4","o20kRiQErp","QMFrweE19q","DyGG3AbaNP","rGHVDoGpnC","DhbWaqg5eL","eLxqMNBOBk","9HNa5Wba9A"],"dependent_operators":["X99M06cbEe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2796","layer":4},{"info":"compute unary expreesion, input=2796, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5592","layer":3},{"info":"compute unary expreesion, input=5592, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=2709","layer":4},{"info":"number node, value=2830","layer":4},{"info":"compute binary expreesion, left_input=2709, right_input=2830, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-408341","layer":3},{"info":"number node, value=2784","layer":4},{"info":"compute unary expreesion, input=2784, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-408341, right_input=177, op_id = k8jYdgA6NY binary_op_definition= 'None', output=175","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=175, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3696","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=3696, right_input=1255, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3606","layer":4},{"info":"compute unary expreesion, input=3606, 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 = 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=1075","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=1475, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1585625","layer":3},{"info":"compute unary expreesion, input=1585625, 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 = 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":3,"result_base":3,"text":"(((⫏≰10211120⊭∹↮)⊠≄⫣)+⇶⊼(⫏≰10201100⪄⫏≰10212211%(⫏≰10211010∸)))∀⇚≩(⫏≰12001220⨟⋌⩍⫏≰1201111∼(+⊝⨔⫏≰11221120)⫡⨏(⫓⪴(⫏≰1110211*⫏≰2000122)))=NaN","reverse_text":"NaN=(((⫏≰10211120⊭∹↮)⊠≄⫣)+⇶⊼(⫏≰10201100⪄⫏≰10212211%(⫏≰10211010∸)))∀⇚≩(⫏≰12001220⨟⋌⩍⫏≰1201111∼(+⊝⨔⫏≰11221120)⫡⨏(⫓⪴(⫏≰1110211*⫏≰2000122)))","cot":[{"info":"⫏≰10211120⊭∹↮=⫏≰21200010","layer":3},{"info":"⫏≰21200010⊠≄⫣=⫏≰0","layer":2},{"info":"⫏≰10201100⪄⫏≰10212211=⫏≰-202202010202","layer":3},{"info":"⫏≰10211010∸=⫏≰20120","layer":3},{"info":"⫏≰-202202010202%⫏≰20120=⫏≰20111","layer":2},{"info":"⫏≰0+⇶⊼⫏≰20111=NaN","layer":1},{"info":"⫏≰12001220⨟⋌⩍⫏≰1201111=NaN","layer":3},{"info":"+⊝⨔⫏≰11221120=⫏≰2002101","layer":3},{"info":"NaN∼⫏≰2002101=NaN","layer":2},{"info":"⫏≰1110211*⫏≰2000122=⫏≰2222120001212","layer":3},{"info":"⫓⪴⫏≰2222120001212=Inf","layer":2},{"info":"NaN⫡⨏Inf=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":518,"expression_no_base_symbol":"⨰⫟⨤((⨈⫕$4129$)↙($5013$⫡⨏$2907$)⩨($1397$⩚⊴⇥$1122$)⨓($6015$⫥∨⫟$9469$))","expression":"⨰⫟⨤((⨈⫕⫏≰12122221)↙(⫏≰20212200⫡⨏⫏≰10222200)⩨(⫏≰1220202⩚⊴⇥⫏≰1112120)⨓(⫏≰22020210⫥∨⫟⫏≰110222201))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":591,"operation_count":8,"complexity_ratio":73.875,"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":4129,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5013,"base":3},"right_expr":{"type":"numeric_atoms","value":2907,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1397,"base":3},"right_expr":{"type":"numeric_atoms","value":1122,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6015,"base":3},"right_expr":{"type":"numeric_atoms","value":9469,"base":3}}}}},"used_operators":["Tw270M8GLb","2DlMacCsIx","yyfyN0ffXY","megm06wKyl","QMFrweE19q","3ViojmjbAp","NTOWxs364D","KYD54nUTWz"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4129","layer":4},{"info":"compute unary expreesion, input=4129, 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=5013","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=5013, right_input=2907, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31662","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=31662, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21","layer":2},{"info":"number node, value=1397","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=1122, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2640","layer":3},{"info":"number node, value=6015","layer":4},{"info":"number node, value=9469","layer":4},{"info":"compute binary expreesion, left_input=6015, right_input=9469, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2640, 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=-21, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤((⨈⫕⫏≰12122221)↙(⫏≰20212200⫡⨏⫏≰10222200)⩨(⫏≰1220202⩚⊴⇥⫏≰1112120)⨓(⫏≰22020210⫥∨⫟⫏≰110222201))=NaN","reverse_text":"NaN=⨰⫟⨤((⨈⫕⫏≰12122221)↙(⫏≰20212200⫡⨏⫏≰10222200)⩨(⫏≰1220202⩚⊴⇥⫏≰1112120)⨓(⫏≰22020210⫥∨⫟⫏≰110222201))","cot":[{"info":"⨈⫕⫏≰12122221=⫏≰-210","layer":3},{"info":"⫏≰20212200⫡⨏⫏≰10222200=⫏≰1121102200","layer":3},{"info":"⫏≰-210↙⫏≰1121102200=⫏≰-210","layer":2},{"info":"⫏≰1220202⩚⊴⇥⫏≰1112120=⫏≰-10121210","layer":3},{"info":"⫏≰22020210⫥∨⫟⫏≰110222201=NaN","layer":3},{"info":"⫏≰-10121210⨓NaN=NaN","layer":2},{"info":"⫏≰-210⩨NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":519,"expression_no_base_symbol":"(⩦⩻⨪(($4083$≫≃)↺($1134$*$5452$)))⊭↱(($1862$⨽$2938$)⩤)⩷∴($4959$⪘⫢$1204$+$1006$↺$1298$)","expression":"(⩦⩻⨪((⫏≰12121020≫≃)↺(⫏≰1120000*⫏≰21110221)))⊭↱((⫏≰2112222⨽⫏≰11000211)⩤)⩷∴(⫏≰20210200⪘⫢⫏≰1122121+⫏≰1101021↺⫏≰1210002)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3048,"operation_count":11,"complexity_ratio":277.09090909090907,"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":4083,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1134,"base":3},"right_expr":{"type":"numeric_atoms","value":5452,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1862,"base":3},"right_expr":{"type":"numeric_atoms","value":2938,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4959,"base":3},"right_expr":{"type":"numeric_atoms","value":1204,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1006,"base":3},"right_expr":{"type":"numeric_atoms","value":1298,"base":3}}}}},"used_operators":["COABgblf1C","2td37pGCOC","7j4O788W3g","X99M06cbEe","9HNa5Wba9A","9FxExcQeMw","Z2TMIBDE3Q","8HhzD0ZcuI","W4YGzv6Whe","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫏≰2000222210010010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4083","layer":4},{"info":"compute unary expreesion, input=4083, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=9567","layer":3},{"info":"number node, value=1134","layer":4},{"info":"number node, value=5452","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=5452, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6182568","layer":3},{"info":"compute binary expreesion, left_input=9567, right_input=6182568, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6182568","layer":2},{"info":"compute unary expreesion, input=6182568, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6182568","layer":1},{"info":"number node, value=1862","layer":4},{"info":"number node, value=2938","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=2938, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10408632","layer":3},{"info":"compute unary expreesion, input=-10408632, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=10408632","layer":2},{"info":"number node, value=4959","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=4959, right_input=1204, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9794","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=1298, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1298","layer":3},{"info":"compute binary expreesion, left_input=9794, right_input=1298, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11092","layer":2},{"info":"compute binary expreesion, left_input=10408632, right_input=11092, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=20795048","layer":1},{"info":"compute binary expreesion, left_input=6182568, right_input=20795048, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=29224965","layer":0}],"base":3,"result_base":3,"text":"(⩦⩻⨪((⫏≰12121020≫≃)↺(⫏≰1120000*⫏≰21110221)))⊭↱((⫏≰2112222⨽⫏≰11000211)⩤)⩷∴(⫏≰20210200⪘⫢⫏≰1122121+⫏≰1101021↺⫏≰1210002)=⫏≰2000222210010010","reverse_text":"⫏≰2000222210010010=(⩦⩻⨪((⫏≰12121020≫≃)↺(⫏≰1120000*⫏≰21110221)))⊭↱((⫏≰2112222⨽⫏≰11000211)⩤)⩷∴(⫏≰20210200⪘⫢⫏≰1122121+⫏≰1101021↺⫏≰1210002)","cot":[{"info":"⫏≰12121020≫≃=⫏≰111010100","layer":3},{"info":"⫏≰1120000*⫏≰21110221=⫏≰102122002220000","layer":3},{"info":"⫏≰111010100↺⫏≰102122002220000=⫏≰102122002220000","layer":2},{"info":"⩦⩻⨪⫏≰102122002220000=⫏≰102122002220000","layer":1},{"info":"⫏≰2112222⨽⫏≰11000211=⫏≰-201120210221220","layer":3},{"info":"⫏≰-201120210221220⩤=⫏≰201120210221220","layer":2},{"info":"⫏≰20210200⪘⫢⫏≰1122121=⫏≰111102202","layer":3},{"info":"⫏≰1101021↺⫏≰1210002=⫏≰1210002","layer":3},{"info":"⫏≰111102202+⫏≰1210002=⫏≰120012211","layer":2},{"info":"⫏≰201120210221220⩷∴⫏≰120012211=⫏≰1110010111102222","layer":1},{"info":"⫏≰102122002220000⊭↱⫏≰1110010111102222=⫏≰2000222210010010","layer":0}]}
{"id":520,"expression_no_base_symbol":"(≦∁($2560$≎⊠⪸$5257$⨵⪆$7301$⋓$2615$))≎⊠⪸($2376$⩷∴$4972$↺(+⊝⨔$3910$)⪨≂$1708$⨟⋌⩍$4139$⋓($1850$⋳⪒$1959$))","expression":"(≦∁(⫏≰10111211≎⊠⪸⫏≰21012201⨵⪆⫏≰101000102⋓⫏≰10120212))≎⊠⪸(⫏≰10021000⩷∴⫏≰20211011↺(+⊝⨔⫏≰12100211)⪨≂⫏≰2100021⨟⋌⩍⫏≰12200022⋓(⫏≰2112112⋳⪒⫏≰2200120))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":653,"operation_count":12,"complexity_ratio":54.416666666666664,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2560,"base":3},"right_expr":{"type":"numeric_atoms","value":5257,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7301,"base":3},"right_expr":{"type":"numeric_atoms","value":2615,"base":3}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2376,"base":3},"right_expr":{"type":"numeric_atoms","value":4972,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3910,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1708,"base":3},"right_expr":{"type":"numeric_atoms","value":4139,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1850,"base":3},"right_expr":{"type":"numeric_atoms","value":1959,"base":3}}}}},"used_operators":["bJkvcejdHO","9ICcGScMcE","2DQ55sFlQl","T2fj7uvVaJ","sdazOOVcIp","7j4O788W3g","9FxExcQeMw","DhbWaqg5eL","rGHVDoGpnC","12rbrZMWeM"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰1002110211102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2560","layer":4},{"info":"number node, value=5257","layer":4},{"info":"compute binary expreesion, left_input=2560, right_input=5257, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=662567","layer":3},{"info":"number node, value=7301","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=7301, 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":3},{"info":"compute binary expreesion, left_input=662567, right_input=0, 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=2376","layer":4},{"info":"number node, value=4972","layer":4},{"info":"compute binary expreesion, left_input=2376, right_input=4972, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5224","layer":3},{"info":"number node, value=3910","layer":4},{"info":"compute unary expreesion, input=3910, 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=-5224, 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":"number node, value=1708","layer":4},{"info":"number node, value=4139","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=4139, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1850","layer":4},{"info":"number node, value=1959","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=1959, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1454","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1454, op_id = T2fj7uvVaJ 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=1522, 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=3146","layer":1},{"info":"compute binary expreesion, left_input=-2240, right_input=3146, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=580160","layer":0}],"base":3,"result_base":3,"text":"(≦∁(⫏≰10111211≎⊠⪸⫏≰21012201⨵⪆⫏≰101000102⋓⫏≰10120212))≎⊠⪸(⫏≰10021000⩷∴⫏≰20211011↺(+⊝⨔⫏≰12100211)⪨≂⫏≰2100021⨟⋌⩍⫏≰12200022⋓(⫏≰2112112⋳⪒⫏≰2200120))=⫏≰1002110211102","reverse_text":"⫏≰1002110211102=(≦∁(⫏≰10111211≎⊠⪸⫏≰21012201⨵⪆⫏≰101000102⋓⫏≰10120212))≎⊠⪸(⫏≰10021000⩷∴⫏≰20211011↺(+⊝⨔⫏≰12100211)⪨≂⫏≰2100021⨟⋌⩍⫏≰12200022⋓(⫏≰2112112⋳⪒⫏≰2200120))","cot":[{"info":"⫏≰10111211≎⊠⪸⫏≰21012201=⫏≰1020122212112","layer":3},{"info":"⫏≰101000102⋓⫏≰10120212=⫏≰0","layer":3},{"info":"⫏≰1020122212112⨵⪆⫏≰0=⫏≰12221","layer":2},{"info":"≦∁⫏≰12221=⫏≰-10001222","layer":1},{"info":"⫏≰10021000⩷∴⫏≰20211011=⫏≰-21011111","layer":3},{"info":"+⊝⨔⫏≰12100211=⫏≰2002101","layer":3},{"info":"⫏≰-21011111↺⫏≰2002101=⫏≰2002101","layer":2},{"info":"⫏≰2100021⨟⋌⩍⫏≰12200022=NaN","layer":3},{"info":"⫏≰2112112⋳⪒⫏≰2200120=⫏≰1222212","layer":3},{"info":"NaN⋓⫏≰1222212=⫏≰0","layer":2},{"info":"⫏≰2002101⪨≂⫏≰0=⫏≰11022112","layer":1},{"info":"⫏≰-10001222≎⊠⪸⫏≰11022112=⫏≰1002110211102","layer":0}]}
{"id":521,"expression_no_base_symbol":"($4195$/$6370$⪨≂$1181$⨽$3137$)⨟⋌⩍($1790$⋓$3787$+⇶⊼($3712$/$2464$))≧⫂∧((⪲⇎(↣≠⋷$5002$))⊘)","expression":"(⫏≰12202101/⫏≰22201221⪨≂⫏≰1121202⨽⫏≰11022012)⨟⋌⩍(⫏≰2110022⋓⫏≰12012021+⇶⊼(⫏≰12002111/⫏≰10101021))≧⫂∧((⪲⇎(↣≠⋷⫏≰20212021))⊘)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1239,"operation_count":11,"complexity_ratio":112.63636363636364,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4195,"base":3},"right_expr":{"type":"numeric_atoms","value":6370,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1181,"base":3},"right_expr":{"type":"numeric_atoms","value":3137,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1790,"base":3},"right_expr":{"type":"numeric_atoms","value":3787,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3712,"base":3},"right_expr":{"type":"numeric_atoms","value":2464,"base":3}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5002,"base":3}}}}},"used_operators":["Ph9nP6C5qx","rGHVDoGpnC","sdazOOVcIp","XhwjNDsVaA","8HhzD0ZcuI","TpPTUOHfaN","T2fj7uvVaJ","gu96TGCTMs","XPYlsWDdGa","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4195","layer":4},{"info":"number node, value=6370","layer":4},{"info":"compute binary expreesion, left_input=4195, right_input=6370, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1181","layer":4},{"info":"number node, value=3137","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=3137, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4192380","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4192380, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8384862","layer":2},{"info":"number node, value=1790","layer":4},{"info":"number node, value=3787","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=3787, op_id = T2fj7uvVaJ 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=3712","layer":4},{"info":"number node, value=2464","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=2464, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(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=8384862, 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=8384862","layer":1},{"info":"number node, value=5002","layer":4},{"info":"compute unary expreesion, input=5002, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍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 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=8384862, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12202101/⫏≰22201221⪨≂⫏≰1121202⨽⫏≰11022012)⨟⋌⩍(⫏≰2110022⋓⫏≰12012021+⇶⊼(⫏≰12002111/⫏≰10101021))≧⫂∧((⪲⇎(↣≠⋷⫏≰20212021))⊘)=NaN","reverse_text":"NaN=(⫏≰12202101/⫏≰22201221⪨≂⫏≰1121202⨽⫏≰11022012)⨟⋌⩍(⫏≰2110022⋓⫏≰12012021+⇶⊼(⫏≰12002111/⫏≰10101021))≧⫂∧((⪲⇎(↣≠⋷⫏≰20212021))⊘)","cot":[{"info":"⫏≰12202101/⫏≰22201221=⫏≰0","layer":3},{"info":"⫏≰1121202⨽⫏≰11022012=⫏≰-21212222212100","layer":3},{"info":"⫏≰0⪨≂⫏≰-21212222212100=⫏≰120202222212110","layer":2},{"info":"⫏≰2110022⋓⫏≰12012021=⫏≰0","layer":3},{"info":"⫏≰12002111/⫏≰10101021=⫏≰1","layer":3},{"info":"⫏≰0+⇶⊼⫏≰1=⫏≰0","layer":2},{"info":"⫏≰120202222212110⨟⋌⩍⫏≰0=⫏≰120202222212110","layer":1},{"info":"↣≠⋷⫏≰20212021=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⫏≰120202222212110≧⫂∧NaN=NaN","layer":0}]}
{"id":522,"expression_no_base_symbol":"(($1538$⨰$2500$⫸⊐$1604$⫥∨⫟$3021$)⪄(≦∁$8513$)⪮%⊝($4858$∑⇟⊟$1744$))⨎(⊙↵-($3598$∲⫓$2529$)≹⇙⪍(⊙↵-$2862$))","expression":"((⫏≰2002222⨰⫏≰10102121⫸⊐⫏≰2012102⫥∨⫟⫏≰11010220)⪄(≦∁⫏≰102200022)⪮%⊝(⫏≰20122221∑⇟⊟⫏≰2101121))⨎(⊙↵-(⫏≰11221021∲⫓⫏≰10110200)≹⇙⪍(⊙↵-⫏≰10221000))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3208,"operation_count":12,"complexity_ratio":267.3333333333333,"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":1538,"base":3},"right_expr":{"type":"numeric_atoms","value":2500,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1604,"base":3},"right_expr":{"type":"numeric_atoms","value":3021,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":8513,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4858,"base":3},"right_expr":{"type":"numeric_atoms","value":1744,"base":3}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3598,"base":3},"right_expr":{"type":"numeric_atoms","value":2529,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2862,"base":3}}}}},"used_operators":["rJVOvQCfKK","SUmda5xLS4","mqXw5SEYmG","eewbuw0ToL","KYD54nUTWz","IWmyXbctLI","9ICcGScMcE","U7g4x0WXJJ","oWn0xqSxBt","AHs5Up7iyr","i8ToyICDmI"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1538","layer":4},{"info":"number node, value=2500","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=2500, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-952","layer":3},{"info":"number node, value=1604","layer":4},{"info":"number node, value=3021","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=3021, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-952, 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=8513","layer":4},{"info":"compute unary expreesion, input=8513, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8513","layer":3},{"info":"number node, value=4858","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=4858, right_input=1744, 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=8513, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, 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=3598","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=3598, right_input=2529, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2862","layer":4},{"info":"compute unary expreesion, input=2862, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2002222⨰⫏≰10102121⫸⊐⫏≰2012102⫥∨⫟⫏≰11010220)⪄(≦∁⫏≰102200022)⪮%⊝(⫏≰20122221∑⇟⊟⫏≰2101121))⨎(⊙↵-(⫏≰11221021∲⫓⫏≰10110200)≹⇙⪍(⊙↵-⫏≰10221000))=⫏≰0","reverse_text":"⫏≰0=((⫏≰2002222⨰⫏≰10102121⫸⊐⫏≰2012102⫥∨⫟⫏≰11010220)⪄(≦∁⫏≰102200022)⪮%⊝(⫏≰20122221∑⇟⊟⫏≰2101121))⨎(⊙↵-(⫏≰11221021∲⫓⫏≰10110200)≹⇙⪍(⊙↵-⫏≰10221000))","cot":[{"info":"⫏≰2002222⨰⫏≰10102121=⫏≰-1022021","layer":3},{"info":"⫏≰2012102⫥∨⫟⫏≰11010220=NaN","layer":3},{"info":"⫏≰-1022021⫸⊐NaN=⫏≰1022212","layer":2},{"info":"≦∁⫏≰102200022=⫏≰102200022","layer":3},{"info":"⫏≰20122221∑⇟⊟⫏≰2101121=NaN","layer":3},{"info":"⫏≰102200022⪮%⊝NaN=NaN","layer":2},{"info":"⫏≰1022212⪄NaN=NaN","layer":1},{"info":"⫏≰11221021∲⫓⫏≰10110200=⫏≰0","layer":3},{"info":"⊙↵-⫏≰10221000=⫏≰-1","layer":3},{"info":"⫏≰0≹⇙⪍⫏≰-1=⫏≰0","layer":2},{"info":"⊙↵-⫏≰0=⫏≰0","layer":1},{"info":"NaN⨎⫏≰0=⫏≰0","layer":0}]}
{"id":523,"expression_no_base_symbol":"⊙↵-(($3217$⪢$6496$⫩⊇)⨎($9231$≎⊠⪸$1210$-(⪲⇎$1082$)))","expression":"⊙↵-((⫏≰11102011⪢⫏≰22220121⫩⊇)⨎(⫏≰110122220≎⊠⪸⫏≰1122211-(⪲⇎⫏≰1111002)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6819,"operation_count":7,"complexity_ratio":974.1428571428571,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3217,"base":3},"right_expr":{"type":"numeric_atoms","value":6496,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":9231,"base":3},"right_expr":{"type":"numeric_atoms","value":1210,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1082,"base":3}}}}},"used_operators":["oWn0xqSxBt","rJVOvQCfKK","BjRHVeLaeN","dWAJyo7jo9","rysDP5nf3Z","bJkvcejdHO","XPYlsWDdGa"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-1","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3217","layer":4},{"info":"number node, value=6496","layer":4},{"info":"compute binary expreesion, left_input=3217, right_input=6496, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"number node, value=9231","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=9231, right_input=1210, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2390356","layer":3},{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2164","layer":3},{"info":"compute binary expreesion, left_input=2390356, right_input=2164, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2388192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2388192, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2388192","layer":1},{"info":"compute unary expreesion, input=2388192, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":3,"result_base":3,"text":"⊙↵-((⫏≰11102011⪢⫏≰22220121⫩⊇)⨎(⫏≰110122220≎⊠⪸⫏≰1122211-(⪲⇎⫏≰1111002)))=⫏≰-1","reverse_text":"⫏≰-1=⊙↵-((⫏≰11102011⪢⫏≰22220121⫩⊇)⨎(⫏≰110122220≎⊠⪸⫏≰1122211-(⪲⇎⫏≰1111002)))","cot":[{"info":"⫏≰11102011⪢⫏≰22220121=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"⫏≰110122220≎⊠⪸⫏≰1122211=⫏≰11111102221201","layer":3},{"info":"⪲⇎⫏≰1111002=⫏≰2222011","layer":3},{"info":"⫏≰11111102221201-⫏≰2222011=⫏≰11111022222120","layer":2},{"info":"NaN⨎⫏≰11111022222120=⫏≰11111022222120","layer":1},{"info":"⊙↵-⫏≰11111022222120=⫏≰-1","layer":0}]}
{"id":524,"expression_no_base_symbol":"((↯⪼($4132$∑⇟⊟$6563$))⇷($2450$⇼⇔∾$4675$⨸⪁(⫛⫱⨽$2052$)))⪮%⊝((($1433$∸)⊭∹↮)⪄(+⊝⨔($2345$∀⇚≩$3618$)))","expression":"((↯⪼(⫏≰12200001∑⇟⊟⫏≰100000002))⇷(⫏≰10100202⇼⇔∾⫏≰20102011⨸⪁(⫛⫱⨽⫏≰2211000)))⪮%⊝(((⫏≰1222002∸)⊭∹↮)⪄(+⊝⨔(⫏≰10012212∀⇚≩⫏≰11222000)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18476,"operation_count":12,"complexity_ratio":1539.6666666666667,"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":4132,"base":3},"right_expr":{"type":"numeric_atoms","value":6563,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2450,"base":3},"right_expr":{"type":"numeric_atoms","value":4675,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2052,"base":3}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1433,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2345,"base":3},"right_expr":{"type":"numeric_atoms","value":3618,"base":3}}}}},"used_operators":["IWmyXbctLI","mp7IySMOzn","8jW3W4yZS5","U7g4x0WXJJ","g55IO6H4Gj","tifHPKVTfV","DlLNRPXxWL","SUmda5xLS4","xNBdhnnwKq","o20kRiQErp","DhbWaqg5eL","LRNGc0VcxI"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","X99M06cbEe"],"result":"⫏≰220211222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4132","layer":4},{"info":"number node, value=6563","layer":4},{"info":"compute binary expreesion, left_input=4132, right_input=6563, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=2450","layer":4},{"info":"number node, value=4675","layer":4},{"info":"compute binary expreesion, left_input=2450, right_input=4675, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2225","layer":3},{"info":"number node, value=2052","layer":4},{"info":"compute unary expreesion, input=2052, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2225, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4450","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=4450, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8900","layer":1},{"info":"number node, value=1433","layer":4},{"info":"compute unary expreesion, input=1433, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=177","layer":2},{"info":"number node, value=2345","layer":4},{"info":"number node, value=3618","layer":4},{"info":"compute binary expreesion, left_input=2345, right_input=3618, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=177, right_input=1522, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-28373","layer":1},{"info":"compute binary expreesion, left_input=8900, right_input=-28373, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=18116","layer":0}],"base":3,"result_base":3,"text":"((↯⪼(⫏≰12200001∑⇟⊟⫏≰100000002))⇷(⫏≰10100202⇼⇔∾⫏≰20102011⨸⪁(⫛⫱⨽⫏≰2211000)))⪮%⊝(((⫏≰1222002∸)⊭∹↮)⪄(+⊝⨔(⫏≰10012212∀⇚≩⫏≰11222000)))=⫏≰220211222","reverse_text":"⫏≰220211222=((↯⪼(⫏≰12200001∑⇟⊟⫏≰100000002))⇷(⫏≰10100202⇼⇔∾⫏≰20102011⨸⪁(⫛⫱⨽⫏≰2211000)))⪮%⊝(((⫏≰1222002∸)⊭∹↮)⪄(+⊝⨔(⫏≰10012212∀⇚≩⫏≰11222000)))","cot":[{"info":"⫏≰12200001∑⇟⊟⫏≰100000002=NaN","layer":3},{"info":"↯⪼NaN=⫏≰-210","layer":2},{"info":"⫏≰10100202⇼⇔∾⫏≰20102011=⫏≰10001102","layer":3},{"info":"⫛⫱⨽⫏≰2211000=⫏≰0","layer":3},{"info":"⫏≰10001102⨸⪁⫏≰0=⫏≰20002211","layer":2},{"info":"⫏≰-210⇷⫏≰20002211=⫏≰110012122","layer":1},{"info":"⫏≰1222002∸=⫏≰20120","layer":3},{"info":"⫏≰20120⊭∹↮=⫏≰20120","layer":2},{"info":"⫏≰10012212∀⇚≩⫏≰11222000=NaN","layer":3},{"info":"+⊝⨔NaN=⫏≰2002101","layer":2},{"info":"⫏≰20120⪄⫏≰2002101=⫏≰-1102220212","layer":1},{"info":"⫏≰110012122⪮%⊝⫏≰-1102220212=⫏≰220211222","layer":0}]}
{"id":525,"expression_no_base_symbol":"((↽≂($2644$⨸⪁$1031$))⋓($4175$⨳⩥⨓$1145$↺($4624$⩠)))∑⇟⊟((≉$3784$⋓$1652$)⊪)","expression":"((↽≂(⫏≰10121221⨸⪁⫏≰1102012))⋓(⫏≰12201122⨳⩥⨓⫏≰1120102↺(⫏≰20100021⩠)))∑⇟⊟((≉⫏≰12012011⋓⫏≰2021012)⊪)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":91,"operation_count":10,"complexity_ratio":9.1,"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":2644,"base":3},"right_expr":{"type":"numeric_atoms","value":1031,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4175,"base":3},"right_expr":{"type":"numeric_atoms","value":1145,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4624,"base":3}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3784,"base":3},"right_expr":{"type":"numeric_atoms","value":1652,"base":3}}}}},"used_operators":["U7g4x0WXJJ","T2fj7uvVaJ","u6S6b8DprG","g55IO6H4Gj","7j4O788W3g","nCS4ZIUYfx","sJAwomhLZr","zVYPLywUTj","e1ybzncUwg"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2644","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=2644, right_input=1031, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7350","layer":3},{"info":"compute unary expreesion, input=7350, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-14700","layer":2},{"info":"number node, value=4175","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=4175, right_input=1145, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3030","layer":3},{"info":"number node, value=4624","layer":4},{"info":"compute unary expreesion, input=4624, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3030, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-14700, 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":"number node, value=3784","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=3784, right_input=1652, op_id = T2fj7uvVaJ 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 unary expreesion, input=531, 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=0, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"((↽≂(⫏≰10121221⨸⪁⫏≰1102012))⋓(⫏≰12201122⨳⩥⨓⫏≰1120102↺(⫏≰20100021⩠)))∑⇟⊟((≉⫏≰12012011⋓⫏≰2021012)⊪)=⫏≰0","reverse_text":"⫏≰0=((↽≂(⫏≰10121221⨸⪁⫏≰1102012))⋓(⫏≰12201122⨳⩥⨓⫏≰1120102↺(⫏≰20100021⩠)))∑⇟⊟((≉⫏≰12012011⋓⫏≰2021012)⊪)","cot":[{"info":"⫏≰10121221⨸⪁⫏≰1102012=⫏≰101002020","layer":3},{"info":"↽≂⫏≰101002020=⫏≰-202011110","layer":2},{"info":"⫏≰12201122⨳⩥⨓⫏≰1120102=⫏≰-11011020","layer":3},{"info":"⫏≰20100021⩠=⫏≰0","layer":3},{"info":"⫏≰-11011020↺⫏≰0=⫏≰0","layer":2},{"info":"⫏≰-202011110⋓⫏≰0=⫏≰0","layer":1},{"info":"⫏≰12012011⋓⫏≰2021012=⫏≰0","layer":3},{"info":"≉⫏≰0=⫏≰201200","layer":2},{"info":"⫏≰201200⊪=⫏≰0","layer":1},{"info":"⫏≰0∑⇟⊟⫏≰0=⫏≰0","layer":0}]}
{"id":526,"expression_no_base_symbol":"((≉($3249$≣⋋))⊭↱($9520$∀⇚≩$2252$∸))⨪↰⇹((⩦⩻⨪$3712$∼$1003$)⩤)","expression":"((≉(⫏≰11110100≣⋋))⊭↱(⫏≰111001121∀⇚≩⫏≰10002102∸))⨪↰⇹((⩦⩻⨪⫏≰12002111∼⫏≰1101011)⩤)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":68120,"operation_count":9,"complexity_ratio":7568.888888888889,"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":3249,"base":3}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":9520,"base":3},"right_expr":{"type":"numeric_atoms","value":2252,"base":3}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3712,"base":3},"right_expr":{"type":"numeric_atoms","value":1003,"base":3}}}}},"used_operators":["tmPS8pqC7x","COABgblf1C","e1ybzncUwg","Tcnh7f0tEr","o20kRiQErp","LRNGc0VcxI","Z2TMIBDE3Q","2td37pGCOC","DyGG3AbaNP"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tmPS8pqC7x","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫏≰222001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3249","layer":4},{"info":"compute unary expreesion, input=3249, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":2},{"info":"number node, value=9520","layer":4},{"info":"number node, value=2252","layer":4},{"info":"compute binary expreesion, left_input=9520, right_input=2252, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=531, right_input=177, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-703","layer":1},{"info":"number node, value=3712","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=1003, 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 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=-703, 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=703","layer":0}],"base":3,"result_base":3,"text":"((≉(⫏≰11110100≣⋋))⊭↱(⫏≰111001121∀⇚≩⫏≰10002102∸))⨪↰⇹((⩦⩻⨪⫏≰12002111∼⫏≰1101011)⩤)=⫏≰222001","reverse_text":"⫏≰222001=((≉(⫏≰11110100≣⋋))⊭↱(⫏≰111001121∀⇚≩⫏≰10002102∸))⨪↰⇹((⩦⩻⨪⫏≰12002111∼⫏≰1101011)⩤)","cot":[{"info":"⫏≰11110100≣⋋=⫏≰0","layer":3},{"info":"≉⫏≰0=⫏≰201200","layer":2},{"info":"⫏≰111001121∀⇚≩⫏≰10002102=NaN","layer":3},{"info":"NaN∸=⫏≰20120","layer":2},{"info":"⫏≰201200⊭↱⫏≰20120=⫏≰-222001","layer":1},{"info":"⫏≰12002111∼⫏≰1101011=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"⫏≰-222001⨪↰⇹NaN=⫏≰222001","layer":0}]}
{"id":527,"expression_no_base_symbol":"(⪝⪂⫅($1050$⪛$1242$⨁⊸⫻))⋷(($3064$≭$1273$)⩷∴($1302$⪒$5617$)⫡⨏($1277$⇷$2740$)∼($1449$⇷$4945$))","expression":"(⪝⪂⫅(⫏≰1102220⪛⫏≰1201000⨁⊸⫻))⋷((⫏≰11012111≭⫏≰1202011)⩷∴(⫏≰1210020⪒⫏≰21201001)⫡⨏(⫏≰1202022⇷⫏≰10202111)∼(⫏≰1222200⇷⫏≰20210011))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":38459,"operation_count":11,"complexity_ratio":3496.2727272727275,"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":1050,"base":3},"right_expr":{"type":"numeric_atoms","value":1242,"base":3}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3064,"base":3},"right_expr":{"type":"numeric_atoms","value":1273,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1302,"base":3},"right_expr":{"type":"numeric_atoms","value":5617,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1277,"base":3},"right_expr":{"type":"numeric_atoms","value":2740,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1449,"base":3},"right_expr":{"type":"numeric_atoms","value":4945,"base":3}}}}},"used_operators":["23Mk6UjR3U","XTarYq4gQB","glklzrTFfD","uFcxV4UQCh","QMFrweE19q","9FxExcQeMw","rxpJgHHUmx","f6k1SAg4EE","DyGG3AbaNP","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫏≰120200110100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1050","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=1242, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1050","layer":3},{"info":"compute unary expreesion, input=1050, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1050","layer":2},{"info":"compute unary expreesion, input=1050, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-154350","layer":1},{"info":"number node, value=3064","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=3064, right_input=1273, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1302","layer":4},{"info":"number node, value=5617","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=5617, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6919","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6919, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1277","layer":4},{"info":"number node, value=2740","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=2740, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5480","layer":3},{"info":"number node, value=1449","layer":4},{"info":"number node, value=4945","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=4945, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9890","layer":3},{"info":"compute binary expreesion, left_input=5480, right_input=9890, 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":"compute binary expreesion, left_input=-154350, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=308700","layer":0}],"base":3,"result_base":3,"text":"(⪝⪂⫅(⫏≰1102220⪛⫏≰1201000⨁⊸⫻))⋷((⫏≰11012111≭⫏≰1202011)⩷∴(⫏≰1210020⪒⫏≰21201001)⫡⨏(⫏≰1202022⇷⫏≰10202111)∼(⫏≰1222200⇷⫏≰20210011))=⫏≰120200110100","reverse_text":"⫏≰120200110100=(⪝⪂⫅(⫏≰1102220⪛⫏≰1201000⨁⊸⫻))⋷((⫏≰11012111≭⫏≰1202011)⩷∴(⫏≰1210020⪒⫏≰21201001)⫡⨏(⫏≰1202022⇷⫏≰10202111)∼(⫏≰1222200⇷⫏≰20210011))","cot":[{"info":"⫏≰1102220⪛⫏≰1201000=⫏≰1102220","layer":3},{"info":"⫏≰1102220⨁⊸⫻=⫏≰1102220","layer":2},{"info":"⪝⪂⫅⫏≰1102220=⫏≰-21211201200","layer":1},{"info":"⫏≰11012111≭⫏≰1202011=NaN","layer":3},{"info":"⫏≰1210020⪒⫏≰21201001=⫏≰-100111021","layer":3},{"info":"NaN⩷∴⫏≰-100111021=NaN","layer":2},{"info":"⫏≰1202022⇷⫏≰10202111=⫏≰21111222","layer":3},{"info":"⫏≰1222200⇷⫏≰20210011=⫏≰111120022","layer":3},{"info":"⫏≰21111222∼⫏≰111120022=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⫏≰-21211201200⋷NaN=⫏≰120200110100","layer":0}]}
{"id":528,"expression_no_base_symbol":"(($2112$∧)⋥≓≎$4325$∀⇚≩$1231$-(+⊝⨔($6945$⪨≂$5883$)))⪐","expression":"((⫏≰2220020∧)⋥≓≎⫏≰12221012∀⇚≩⫏≰1200121-(+⊝⨔(⫏≰100112020⪨≂⫏≰22001220)))⪐","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":30331,"operation_count":7,"complexity_ratio":4333.0,"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":2112,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4325,"base":3},"right_expr":{"type":"numeric_atoms","value":1231,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6945,"base":3},"right_expr":{"type":"numeric_atoms","value":5883,"base":3}}}}},"used_operators":["eH2TOUuTDT","rysDP5nf3Z","Qy55tPpLXF","z63VuFQld9","LRNGc0VcxI","DhbWaqg5eL","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-10222210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2112","layer":4},{"info":"compute unary expreesion, input=2112, 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=4325","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=4325, right_input=1231, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=6945","layer":4},{"info":"number node, value=5883","layer":4},{"info":"compute binary expreesion, left_input=6945, right_input=5883, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2226","layer":3},{"info":"compute unary expreesion, input=2226, 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=67, right_input=1522, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1455","layer":1},{"info":"compute unary expreesion, input=-1455, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-2910","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2220020∧)⋥≓≎⫏≰12221012∀⇚≩⫏≰1200121-(+⊝⨔(⫏≰100112020⪨≂⫏≰22001220)))⪐=⫏≰-10222210","reverse_text":"⫏≰-10222210=((⫏≰2220020∧)⋥≓≎⫏≰12221012∀⇚≩⫏≰1200121-(+⊝⨔(⫏≰100112020⪨≂⫏≰22001220)))⪐","cot":[{"info":"⫏≰2220020∧=NaN","layer":3},{"info":"⫏≰12221012∀⇚≩⫏≰1200121=NaN","layer":3},{"info":"NaN⋥≓≎NaN=⫏≰2111","layer":2},{"info":"⫏≰100112020⪨≂⫏≰22001220=⫏≰10001110","layer":3},{"info":"+⊝⨔⫏≰10001110=⫏≰2002101","layer":2},{"info":"⫏≰2111-⫏≰2002101=⫏≰-1222220","layer":1},{"info":"⫏≰-1222220⪐=⫏≰-10222210","layer":0}]}
{"id":529,"expression_no_base_symbol":"(($2732$⋳⪒$4615$)⨰$1803$⨓$2163$⊭∹↮)⊪","expression":"((⫏≰10202012⋳⪒⫏≰20022221)⨰⫏≰2110210⨓⫏≰2222010⊭∹↮)⊪","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2221,"operation_count":5,"complexity_ratio":444.2,"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":2732,"base":3},"right_expr":{"type":"numeric_atoms","value":4615,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1803,"base":3},"right_expr":{"type":"numeric_atoms","value":2163,"base":3}}}}},"used_operators":["zVYPLywUTj","xNBdhnnwKq","eewbuw0ToL","12rbrZMWeM","3ViojmjbAp"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2732","layer":4},{"info":"number node, value=4615","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=4615, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=562","layer":3},{"info":"number node, value=1803","layer":4},{"info":"number node, value=2163","layer":4},{"info":"compute binary expreesion, left_input=1803, right_input=2163, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2166","layer":3},{"info":"compute binary expreesion, left_input=562, right_input=-2166, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2738","layer":2},{"info":"compute unary expreesion, input=2738, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5476","layer":1},{"info":"compute unary expreesion, input=5476, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10202012⋳⪒⫏≰20022221)⨰⫏≰2110210⨓⫏≰2222010⊭∹↮)⊪=⫏≰0","reverse_text":"⫏≰0=((⫏≰10202012⋳⪒⫏≰20022221)⨰⫏≰2110210⨓⫏≰2222010⊭∹↮)⊪","cot":[{"info":"⫏≰10202012⋳⪒⫏≰20022221=⫏≰202211","layer":3},{"info":"⫏≰2110210⨓⫏≰2222010=⫏≰-2222020","layer":3},{"info":"⫏≰202211⨰⫏≰-2222020=⫏≰10202102","layer":2},{"info":"⫏≰10202102⊭∹↮=⫏≰21111211","layer":1},{"info":"⫏≰21111211⊪=⫏≰0","layer":0}]}
{"id":530,"expression_no_base_symbol":"(($1702$⫩⊇)⫡⨏(↔$2745$))⊴(($2089$∲⫓$2511$)⋥≓≎($6853$↺$3637$))⩷∴(($4627$⨽$1380$)⫥∨⫟$2904$⋝⋈⪟$3554$⨎($2998$⊘)⇷($1283$⨎$2259$))","expression":"((⫏≰2100001⫩⊇)⫡⨏(↔⫏≰10202200))⊴((⫏≰2212101∲⫓⫏≰10110000)⋥≓≎(⫏≰100101211↺⫏≰11222201))⩷∴((⫏≰20100101⨽⫏≰1220010)⫥∨⫟⫏≰10222120⋝⋈⪟⫏≰11212122⨎(⫏≰11010001⊘)⇷(⫏≰1202112⨎⫏≰10002200))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":29973,"operation_count":15,"complexity_ratio":1998.2,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1702,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2745,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2089,"base":3},"right_expr":{"type":"numeric_atoms","value":2511,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6853,"base":3},"right_expr":{"type":"numeric_atoms","value":3637,"base":3}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4627,"base":3},"right_expr":{"type":"numeric_atoms","value":1380,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2904,"base":3},"right_expr":{"type":"numeric_atoms","value":3554,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2998,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1283,"base":3},"right_expr":{"type":"numeric_atoms","value":2259,"base":3}}}}},"used_operators":["9FxExcQeMw","Nsiff2A1zJ","QMFrweE19q","BjRHVeLaeN","ruOEQAzv1W","Qy55tPpLXF","i8ToyICDmI","7j4O788W3g","rJVOvQCfKK","KYD54nUTWz","8HhzD0ZcuI","2DDjHMKMc0","mp7IySMOzn","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1702","layer":4},{"info":"compute unary expreesion, input=1702, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1660","layer":3},{"info":"number node, value=2745","layer":4},{"info":"compute unary expreesion, input=2745, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2472","layer":3},{"info":"compute binary expreesion, left_input=-1660, right_input=-2472, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-12461","layer":2},{"info":"number node, value=2089","layer":4},{"info":"number node, value=2511","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=2511, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6853","layer":4},{"info":"number node, value=3637","layer":4},{"info":"compute binary expreesion, left_input=6853, right_input=3637, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3637","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3637, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7307","layer":2},{"info":"compute binary expreesion, left_input=-12461, right_input=7307, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4627","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=4627, right_input=1380, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-64230213","layer":3},{"info":"number node, value=2904","layer":4},{"info":"number node, value=3554","layer":4},{"info":"compute binary expreesion, left_input=2904, right_input=3554, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2904","layer":3},{"info":"compute binary expreesion, left_input=-64230213, right_input=2904, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2998","layer":4},{"info":"compute unary expreesion, input=2998, 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=1283","layer":4},{"info":"number node, value=2259","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=2259, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2259","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2259, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4518","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4518, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4518","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4518, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2100001⫩⊇)⫡⨏(↔⫏≰10202200))⊴((⫏≰2212101∲⫓⫏≰10110000)⋥≓≎(⫏≰100101211↺⫏≰11222201))⩷∴((⫏≰20100101⨽⫏≰1220010)⫥∨⫟⫏≰10222120⋝⋈⪟⫏≰11212122⨎(⫏≰11010001⊘)⇷(⫏≰1202112⨎⫏≰10002200))=NaN","reverse_text":"NaN=((⫏≰2100001⫩⊇)⫡⨏(↔⫏≰10202200))⊴((⫏≰2212101∲⫓⫏≰10110000)⋥≓≎(⫏≰100101211↺⫏≰11222201))⩷∴((⫏≰20100101⨽⫏≰1220010)⫥∨⫟⫏≰10222120⋝⋈⪟⫏≰11212122⨎(⫏≰11010001⊘)⇷(⫏≰1202112⨎⫏≰10002200))","cot":[{"info":"⫏≰2100001⫩⊇=⫏≰-2021111","layer":3},{"info":"↔⫏≰10202200=⫏≰-10101120","layer":3},{"info":"⫏≰-2021111⫡⨏⫏≰-10101120=⫏≰-122002112","layer":2},{"info":"⫏≰2212101∲⫓⫏≰10110000=⫏≰0","layer":3},{"info":"⫏≰100101211↺⫏≰11222201=⫏≰11222201","layer":3},{"info":"⫏≰0⋥≓≎⫏≰11222201=⫏≰101000122","layer":2},{"info":"⫏≰-122002112⊴⫏≰101000122=NaN","layer":1},{"info":"⫏≰20100101⨽⫏≰1220010=⫏≰-11110212020021210","layer":3},{"info":"⫏≰10222120⋝⋈⪟⫏≰11212122=⫏≰10222120","layer":3},{"info":"⫏≰-11110212020021210⫥∨⫟⫏≰10222120=NaN","layer":2},{"info":"⫏≰11010001⊘=⫏≰0","layer":3},{"info":"⫏≰1202112⨎⫏≰10002200=⫏≰10002200","layer":3},{"info":"⫏≰0⇷⫏≰10002200=⫏≰20012100","layer":2},{"info":"NaN⨎⫏≰20012100=⫏≰20012100","layer":1},{"info":"NaN⩷∴⫏≰20012100=NaN","layer":0}]}
{"id":531,"expression_no_base_symbol":"((∥⊫(↔$1668$))-(⨑⩽⪐(⊄⩳↩$7981$)))⪛(($8117$⇼⇔∾$4512$⪨≂$8743$⪛$1138$)∀⇚≩(($4847$*$1975$)⫥∨⫟($3570$⊘)))","expression":"((∥⊫(↔⫏≰2021210))-(⨑⩽⪐(⊄⩳↩⫏≰101221121)))⪛((⫏≰102010122⇼⇔∾⫏≰20012010⪨≂⫏≰102222211⪛⫏≰1120011)∀⇚≩((⫏≰20122112*⫏≰2201011)⫥∨⫟(⫏≰11220020⊘)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62824,"operation_count":13,"complexity_ratio":4832.615384615385,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1668,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":7981,"base":3}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":8117,"base":3},"right_expr":{"type":"numeric_atoms","value":4512,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8743,"base":3},"right_expr":{"type":"numeric_atoms","value":1138,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4847,"base":3},"right_expr":{"type":"numeric_atoms","value":1975,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3570,"base":3}}}}},"used_operators":["uFcxV4UQCh","rysDP5nf3Z","P8v4zCKN1o","ruOEQAzv1W","AF7qkfDlqP","8w2t5hMYqp","LRNGc0VcxI","sdazOOVcIp","tifHPKVTfV","KYD54nUTWz","9HNa5Wba9A","gu96TGCTMs"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1668","layer":4},{"info":"compute unary expreesion, input=1668, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1395","layer":3},{"info":"compute unary expreesion, input=-1395, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=7981","layer":4},{"info":"compute unary expreesion, input=7981, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-23943","layer":3},{"info":"compute unary expreesion, input=-23943, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=48675","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=48675, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-48730","layer":1},{"info":"number node, value=8117","layer":4},{"info":"number node, value=4512","layer":4},{"info":"compute binary expreesion, left_input=8117, right_input=4512, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3605","layer":3},{"info":"number node, value=8743","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=8743, right_input=1138, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=777","layer":3},{"info":"compute binary expreesion, left_input=-3605, right_input=777, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8662","layer":2},{"info":"number node, value=4847","layer":4},{"info":"number node, value=1975","layer":4},{"info":"compute binary expreesion, left_input=4847, right_input=1975, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9572825","layer":3},{"info":"number node, value=3570","layer":4},{"info":"compute unary expreesion, input=3570, 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=9572825, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8662, 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=-48730, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((∥⊫(↔⫏≰2021210))-(⨑⩽⪐(⊄⩳↩⫏≰101221121)))⪛((⫏≰102010122⇼⇔∾⫏≰20012010⪨≂⫏≰102222211⪛⫏≰1120011)∀⇚≩((⫏≰20122112*⫏≰2201011)⫥∨⫟(⫏≰11220020⊘)))=NaN","reverse_text":"NaN=((∥⊫(↔⫏≰2021210))-(⨑⩽⪐(⊄⩳↩⫏≰101221121)))⪛((⫏≰102010122⇼⇔∾⫏≰20012010⪨≂⫏≰102222211⪛⫏≰1120011)∀⇚≩((⫏≰20122112*⫏≰2201011)⫥∨⫟(⫏≰11220020⊘)))","cot":[{"info":"↔⫏≰2021210=⫏≰-1220200","layer":3},{"info":"∥⊫⫏≰-1220200=⫏≰-2001","layer":2},{"info":"⊄⩳↩⫏≰101221121=⫏≰-1012211210","layer":3},{"info":"⨑⩽⪐⫏≰-1012211210=⫏≰2110202210","layer":2},{"info":"⫏≰-2001-⫏≰2110202210=⫏≰-2110211211","layer":1},{"info":"⫏≰102010122⇼⇔∾⫏≰20012010=⫏≰-11221112","layer":3},{"info":"⫏≰102222211⪛⫏≰1120011=⫏≰1001210","layer":3},{"info":"⫏≰-11221112⪨≂⫏≰1001210=⫏≰-102212211","layer":2},{"info":"⫏≰20122112*⫏≰2201011=⫏≰200000100110002","layer":3},{"info":"⫏≰11220020⊘=⫏≰0","layer":3},{"info":"⫏≰200000100110002⫥∨⫟⫏≰0=NaN","layer":2},{"info":"⫏≰-102212211∀⇚≩NaN=NaN","layer":1},{"info":"⫏≰-2110211211⪛NaN=NaN","layer":0}]}
{"id":532,"expression_no_base_symbol":"⊙↵-($1684$≎⊠⪸$6517$*($1376$⪒$4431$))⪢(($6167$∲⫓$2242$)⩚⊴⇥$3486$⋓$4752$)","expression":"⊙↵-(⫏≰2022101≎⊠⪸⫏≰22221101*(⫏≰1212222⪒⫏≰20002010))⪢((⫏≰22110102∲⫓⫏≰10002001)⩚⊴⇥⫏≰11210010⋓⫏≰20112000)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6246,"operation_count":8,"complexity_ratio":780.75,"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":1684,"base":3},"right_expr":{"type":"numeric_atoms","value":6517,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1376,"base":3},"right_expr":{"type":"numeric_atoms","value":4431,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6167,"base":3},"right_expr":{"type":"numeric_atoms","value":2242,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3486,"base":3},"right_expr":{"type":"numeric_atoms","value":4752,"base":3}}}}},"used_operators":["oWn0xqSxBt","dWAJyo7jo9","9HNa5Wba9A","bJkvcejdHO","f6k1SAg4EE","NTOWxs364D","i8ToyICDmI","T2fj7uvVaJ"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1684","layer":4},{"info":"number node, value=6517","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=6517, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=435683","layer":3},{"info":"number node, value=1376","layer":4},{"info":"number node, value=4431","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=4431, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5807","layer":3},{"info":"compute binary expreesion, left_input=435683, right_input=-5807, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":2},{"info":"number node, value=6167","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=6167, right_input=2242, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3486","layer":4},{"info":"number node, value=4752","layer":4},{"info":"compute binary expreesion, left_input=3486, right_input=4752, op_id = T2fj7uvVaJ 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-121","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=-121, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":3,"result_base":3,"text":"⊙↵-(⫏≰2022101≎⊠⪸⫏≰22221101*(⫏≰1212222⪒⫏≰20002010))⪢((⫏≰22110102∲⫓⫏≰10002001)⩚⊴⇥⫏≰11210010⋓⫏≰20112000)=NaN","reverse_text":"NaN=⊙↵-(⫏≰2022101≎⊠⪸⫏≰22221101*(⫏≰1212222⪒⫏≰20002010))⪢((⫏≰22110102∲⫓⫏≰10002001)⩚⊴⇥⫏≰11210010⋓⫏≰20112000)","cot":[{"info":"⫏≰2022101≎⊠⪸⫏≰22221101=⫏≰211010122102","layer":3},{"info":"⫏≰1212222⪒⫏≰20002010=⫏≰-21222002","layer":3},{"info":"⫏≰211010122102*⫏≰-21222002=-Inf","layer":2},{"info":"⫏≰22110102∲⫓⫏≰10002001=⫏≰0","layer":3},{"info":"⫏≰11210010⋓⫏≰20112000=⫏≰0","layer":3},{"info":"⫏≰0⩚⊴⇥⫏≰0=⫏≰-11111","layer":2},{"info":"-Inf⪢⫏≰-11111=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":533,"expression_no_base_symbol":"⊥(($6968$⪢$2967$≣⋋)%($1137$≣⋋)≎⊠⪸($4954$⫥∨⫟$2992$))","expression":"⊥((⫏≰100120002⪢⫏≰11001220≣⋋)%(⫏≰1120010≣⋋)≎⊠⪸(⫏≰20210111⫥∨⫟⫏≰11002211))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5216,"operation_count":7,"complexity_ratio":745.1428571428571,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6968,"base":3},"right_expr":{"type":"numeric_atoms","value":2967,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1137,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4954,"base":3},"right_expr":{"type":"numeric_atoms","value":2992,"base":3}}}}},"used_operators":["Q3PJZHRvZv","k8jYdgA6NY","Tcnh7f0tEr","dWAJyo7jo9","bJkvcejdHO","KYD54nUTWz"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=6968","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=6968, right_input=2967, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"number node, value=1137","layer":4},{"info":"compute unary expreesion, input=1137, 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=4954","layer":4},{"info":"number node, value=2992","layer":4},{"info":"compute binary expreesion, left_input=4954, right_input=2992, 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 = k8jYdgA6NY 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":3,"result_base":3,"text":"⊥((⫏≰100120002⪢⫏≰11001220≣⋋)%(⫏≰1120010≣⋋)≎⊠⪸(⫏≰20210111⫥∨⫟⫏≰11002211))=NaN","reverse_text":"NaN=⊥((⫏≰100120002⪢⫏≰11001220≣⋋)%(⫏≰1120010≣⋋)≎⊠⪸(⫏≰20210111⫥∨⫟⫏≰11002211))","cot":[{"info":"⫏≰100120002⪢⫏≰11001220=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"⫏≰1120010≣⋋=⫏≰0","layer":3},{"info":"⫏≰20210111⫥∨⫟⫏≰11002211=NaN","layer":3},{"info":"⫏≰0≎⊠⪸NaN=⫏≰2111","layer":2},{"info":"NaN%⫏≰2111=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":534,"expression_no_base_symbol":"($1100$⨟⋌⩍$4178$≎⊠⪸($3035$⋫)⪄(($1881$↺$1140$)∸))⇷(($1267$∲⫓$1057$)⨪↰⇹(⨈⫕$1388$)⩷∴($1826$⨐⩸⫘$3058$⨳⩥⨓(+⊝⨔$8538$)))","expression":"(⫏≰1111202⨟⋌⩍⫏≰12201202≎⊠⪸(⫏≰11011102⋫)⪄((⫏≰2120200↺⫏≰1120020)∸))⇷((⫏≰1201221∲⫓⫏≰1110011)⨪↰⇹(⨈⫕⫏≰1220102)⩷∴(⫏≰2111122⨐⩸⫘⫏≰11012021⨳⩥⨓(+⊝⨔⫏≰102201020)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":59400,"operation_count":14,"complexity_ratio":4242.857142857143,"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":1100,"base":3},"right_expr":{"type":"numeric_atoms","value":4178,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3035,"base":3}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1881,"base":3},"right_expr":{"type":"numeric_atoms","value":1140,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1267,"base":3},"right_expr":{"type":"numeric_atoms","value":1057,"base":3}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1388,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1826,"base":3},"right_expr":{"type":"numeric_atoms","value":3058,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":8538,"base":3}}}}},"used_operators":["mp7IySMOzn","SUmda5xLS4","bJkvcejdHO","rGHVDoGpnC","JL8yIekQnl","o20kRiQErp","7j4O788W3g","9FxExcQeMw","tmPS8pqC7x","i8ToyICDmI","megm06wKyl","nCS4ZIUYfx","fu6greOZ01","DhbWaqg5eL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tcnh7f0tEr","tmPS8pqC7x","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"number node, value=4178","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=4178, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=3035","layer":4},{"info":"compute unary expreesion, input=3035, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3035","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3035, 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=1881","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=1140, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1140","layer":3},{"info":"compute unary expreesion, input=1140, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=1267","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=1057, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1388","layer":4},{"info":"compute unary expreesion, input=1388, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=0, 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=0","layer":2},{"info":"number node, value=1826","layer":4},{"info":"number node, value=3058","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=3058, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=8538","layer":4},{"info":"compute unary expreesion, input=8538, 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 = 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1111202⨟⋌⩍⫏≰12201202≎⊠⪸(⫏≰11011102⋫)⪄((⫏≰2120200↺⫏≰1120020)∸))⇷((⫏≰1201221∲⫓⫏≰1110011)⨪↰⇹(⨈⫕⫏≰1220102)⩷∴(⫏≰2111122⨐⩸⫘⫏≰11012021⨳⩥⨓(+⊝⨔⫏≰102201020)))=NaN","reverse_text":"NaN=(⫏≰1111202⨟⋌⩍⫏≰12201202≎⊠⪸(⫏≰11011102⋫)⪄((⫏≰2120200↺⫏≰1120020)∸))⇷((⫏≰1201221∲⫓⫏≰1110011)⨪↰⇹(⨈⫕⫏≰1220102)⩷∴(⫏≰2111122⨐⩸⫘⫏≰11012021⨳⩥⨓(+⊝⨔⫏≰102201020)))","cot":[{"info":"⫏≰1111202⨟⋌⩍⫏≰12201202=NaN","layer":3},{"info":"⫏≰11011102⋫=⫏≰11011102","layer":3},{"info":"NaN≎⊠⪸⫏≰11011102=NaN","layer":2},{"info":"⫏≰2120200↺⫏≰1120020=⫏≰1120020","layer":3},{"info":"⫏≰1120020∸=⫏≰20120","layer":2},{"info":"NaN⪄⫏≰20120=⫏≰12110101","layer":1},{"info":"⫏≰1201221∲⫓⫏≰1110011=⫏≰0","layer":3},{"info":"⨈⫕⫏≰1220102=⫏≰-210","layer":3},{"info":"⫏≰0⨪↰⇹⫏≰-210=⫏≰0","layer":2},{"info":"⫏≰2111122⨐⩸⫘⫏≰11012021=NaN","layer":3},{"info":"+⊝⨔⫏≰102201020=⫏≰2002101","layer":3},{"info":"NaN⨳⩥⨓⫏≰2002101=NaN","layer":2},{"info":"⫏≰0⩷∴NaN=NaN","layer":1},{"info":"⫏≰12110101⇷NaN=NaN","layer":0}]}
{"id":535,"expression_no_base_symbol":"(⩦⩻⨪(↔($1139$∸)))⨐⩸⫘(↥($6920$⨟⋌⩍$2052$⇼⇔∾(⋗⩬⋾$1045$)))","expression":"(⩦⩻⨪(↔(⫏≰1120012∸)))⨐⩸⫘(↥(⫏≰100111022⨟⋌⩍⫏≰2211000⇼⇔∾(⋗⩬⋾⫏≰1102201)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":195,"operation_count":8,"complexity_ratio":24.375,"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":1139,"base":3}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6920,"base":3},"right_expr":{"type":"numeric_atoms","value":2052,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1045,"base":3}}}}},"used_operators":["fu6greOZ01","2td37pGCOC","ruOEQAzv1W","o20kRiQErp","A8NUZmVepG","tifHPKVTfV","rGHVDoGpnC","DpFCA1CohY"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tmPS8pqC7x","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1139","layer":4},{"info":"compute unary expreesion, input=1139, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=96","layer":2},{"info":"compute unary expreesion, input=96, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=96","layer":1},{"info":"number node, value=6920","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=6920, right_input=2052, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3135","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3135, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-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":"compute binary expreesion, left_input=96, 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":3,"result_base":3,"text":"(⩦⩻⨪(↔(⫏≰1120012∸)))⨐⩸⫘(↥(⫏≰100111022⨟⋌⩍⫏≰2211000⇼⇔∾(⋗⩬⋾⫏≰1102201)))=NaN","reverse_text":"NaN=(⩦⩻⨪(↔(⫏≰1120012∸)))⨐⩸⫘(↥(⫏≰100111022⨟⋌⩍⫏≰2211000⇼⇔∾(⋗⩬⋾⫏≰1102201)))","cot":[{"info":"⫏≰1120012∸=⫏≰20120","layer":3},{"info":"↔⫏≰20120=⫏≰10120","layer":2},{"info":"⩦⩻⨪⫏≰10120=⫏≰10120","layer":1},{"info":"⫏≰100111022⨟⋌⩍⫏≰2211000=NaN","layer":3},{"info":"⋗⩬⋾⫏≰1102201=⫏≰-11022010","layer":3},{"info":"NaN⇼⇔∾⫏≰-11022010=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⫏≰10120⨐⩸⫘NaN=NaN","layer":0}]}
{"id":536,"expression_no_base_symbol":"↔(($4516$⩷∴$1634$⫌⩹⨱)+⇶⊼(⪲⇎($3062$⪒$2373$)))","expression":"↔((⫏≰20012021⩷∴⫏≰2020112⫌⩹⨱)+⇶⊼(⪲⇎(⫏≰11012102⪒⫏≰10020220)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":41,"operation_count":6,"complexity_ratio":6.833333333333333,"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":4516,"base":3},"right_expr":{"type":"numeric_atoms","value":1634,"base":3}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3062,"base":3},"right_expr":{"type":"numeric_atoms","value":2373,"base":3}}}}},"used_operators":["ruOEQAzv1W","TpPTUOHfaN","EBcxylXtPf","9FxExcQeMw","XPYlsWDdGa","f6k1SAg4EE"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4516","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=4516, right_input=1634, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5732","layer":3},{"info":"compute unary expreesion, input=5732, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=12865","layer":2},{"info":"number node, value=3062","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=2373, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5435","layer":3},{"info":"compute unary expreesion, input=-5435, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-10870","layer":2},{"info":"compute binary expreesion, left_input=12865, right_input=-10870, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":3,"result_base":3,"text":"↔((⫏≰20012021⩷∴⫏≰2020112⫌⩹⨱)+⇶⊼(⪲⇎(⫏≰11012102⪒⫏≰10020220)))=⫏≰-11222","reverse_text":"⫏≰-11222=↔((⫏≰20012021⩷∴⫏≰2020112⫌⩹⨱)+⇶⊼(⪲⇎(⫏≰11012102⪒⫏≰10020220)))","cot":[{"info":"⫏≰20012021⩷∴⫏≰2020112=⫏≰21212022","layer":3},{"info":"⫏≰21212022⫌⩹⨱=⫏≰122122111","layer":2},{"info":"⫏≰11012102⪒⫏≰10020220=⫏≰-21110022","layer":3},{"info":"⪲⇎⫏≰-21110022=⫏≰-112220121","layer":2},{"info":"⫏≰122122111+⇶⊼⫏≰-112220121=NaN","layer":1},{"info":"↔NaN=⫏≰-11222","layer":0}]}
{"id":537,"expression_no_base_symbol":"(($4985$⪢$1320$⋷$1774$⋳⪒$1596$)⨐⩸⫘($8417$⊭↱$4173$)⨰($2693$⫩⊇))⫌⩹⨱","expression":"((⫏≰20211122⪢⫏≰1210220⋷⫏≰2102201⋳⪒⫏≰2012010)⨐⩸⫘(⫏≰102112202⊭↱⫏≰12201120)⨰(⫏≰10200202⫩⊇))⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2975,"operation_count":8,"complexity_ratio":371.875,"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":4985,"base":3},"right_expr":{"type":"numeric_atoms","value":1320,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1774,"base":3},"right_expr":{"type":"numeric_atoms","value":1596,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8417,"base":3},"right_expr":{"type":"numeric_atoms","value":4173,"base":3}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2693,"base":3}}}}},"used_operators":["EBcxylXtPf","fu6greOZ01","23Mk6UjR3U","dWAJyo7jo9","12rbrZMWeM","eewbuw0ToL","COABgblf1C","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4985","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=4985, right_input=1320, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1774","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=1596, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1665","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1665, 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=8417","layer":4},{"info":"number node, value=4173","layer":4},{"info":"compute binary expreesion, left_input=8417, right_input=4173, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8483","layer":3},{"info":"number node, value=2693","layer":4},{"info":"compute unary expreesion, input=2693, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2651","layer":3},{"info":"compute binary expreesion, left_input=-8483, right_input=-2651, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5822, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20211122⪢⫏≰1210220⋷⫏≰2102201⋳⪒⫏≰2012010)⨐⩸⫘(⫏≰102112202⊭↱⫏≰12201120)⨰(⫏≰10200202⫩⊇))⫌⩹⨱=NaN","reverse_text":"NaN=((⫏≰20211122⪢⫏≰1210220⋷⫏≰2102201⋳⪒⫏≰2012010)⨐⩸⫘(⫏≰102112202⊭↱⫏≰12201120)⨰(⫏≰10200202⫩⊇))⫌⩹⨱","cot":[{"info":"⫏≰20211122⪢⫏≰1210220=NaN","layer":3},{"info":"⫏≰2102201⋳⪒⫏≰2012010=⫏≰2021200","layer":3},{"info":"NaN⋷⫏≰2021200=NaN","layer":2},{"info":"⫏≰102112202⊭↱⫏≰12201120=⫏≰-102122012","layer":3},{"info":"⫏≰10200202⫩⊇=⫏≰-10122012","layer":3},{"info":"⫏≰-102122012⨰⫏≰-10122012=⫏≰-21222122","layer":2},{"info":"NaN⨐⩸⫘⫏≰-21222122=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":538,"expression_no_base_symbol":"(($2365$⩠)⪘⫢($2783$⪨≂$3744$)↺($6803$⨐⩸⫘$3648$)⨓(↔$4634$))⪛((($3166$⩤)⊪)⋝⋈⪟(($1276$⊉≛↸$4105$)⨽$1660$⩷∴$1889$))","expression":"((⫏≰10020121⩠)⪘⫢(⫏≰10211002⪨≂⫏≰12010200)↺(⫏≰100022222⨐⩸⫘⫏≰12000010)⨓(↔⫏≰20100122))⪛(((⫏≰11100021⩤)⊪)⋝⋈⪟((⫏≰1202021⊉≛↸⫏≰12122001)⨽⫏≰2021111⩷∴⫏≰2120222))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16501,"operation_count":14,"complexity_ratio":1178.642857142857,"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":2365,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2783,"base":3},"right_expr":{"type":"numeric_atoms","value":3744,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6803,"base":3},"right_expr":{"type":"numeric_atoms","value":3648,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4634,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3166,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1276,"base":3},"right_expr":{"type":"numeric_atoms","value":4105,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1660,"base":3},"right_expr":{"type":"numeric_atoms","value":1889,"base":3}}}}},"used_operators":["uFcxV4UQCh","7j4O788W3g","oacrs7FA3X","sJAwomhLZr","sdazOOVcIp","3ViojmjbAp","fu6greOZ01","ruOEQAzv1W","2DDjHMKMc0","zVYPLywUTj","Z2TMIBDE3Q","8HhzD0ZcuI","DZ8iAZOCBD","9FxExcQeMw"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","3ViojmjbAp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫏≰21000021221201020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2365","layer":4},{"info":"compute unary expreesion, input=2365, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=2783","layer":4},{"info":"number node, value=3744","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=3744, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1820","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1820, 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=6803","layer":4},{"info":"number node, value=3648","layer":4},{"info":"compute binary expreesion, left_input=6803, right_input=3648, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4634","layer":4},{"info":"compute unary expreesion, input=4634, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4361","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4361, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4364","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-4364, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4364","layer":1},{"info":"number node, value=3166","layer":4},{"info":"compute unary expreesion, input=3166, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3166","layer":3},{"info":"compute unary expreesion, input=-3166, 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=100603238","layer":2},{"info":"number node, value=1276","layer":4},{"info":"number node, value=4105","layer":4},{"info":"compute binary expreesion, left_input=1276, right_input=4105, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2552","layer":3},{"info":"number node, value=1660","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=1889, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-490","layer":3},{"info":"compute binary expreesion, left_input=2552, right_input=-490, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19535328","layer":2},{"info":"compute binary expreesion, left_input=100603238, right_input=-19535328, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=100603238","layer":1},{"info":"compute binary expreesion, left_input=-4364, right_input=100603238, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=100598874","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10020121⩠)⪘⫢(⫏≰10211002⪨≂⫏≰12010200)↺(⫏≰100022222⨐⩸⫘⫏≰12000010)⨓(↔⫏≰20100122))⪛(((⫏≰11100021⩤)⊪)⋝⋈⪟((⫏≰1202021⊉≛↸⫏≰12122001)⨽⫏≰2021111⩷∴⫏≰2120222))=⫏≰21000021221201020","reverse_text":"⫏≰21000021221201020=((⫏≰10020121⩠)⪘⫢(⫏≰10211002⪨≂⫏≰12010200)↺(⫏≰100022222⨐⩸⫘⫏≰12000010)⨓(↔⫏≰20100122))⪛(((⫏≰11100021⩤)⊪)⋝⋈⪟((⫏≰1202021⊉≛↸⫏≰12122001)⨽⫏≰2021111⩷∴⫏≰2120222))","cot":[{"info":"⫏≰10020121⩠=⫏≰0","layer":3},{"info":"⫏≰10211002⪨≂⫏≰12010200=⫏≰-2111102","layer":3},{"info":"⫏≰0⪘⫢⫏≰-2111102=⫏≰-1","layer":2},{"info":"⫏≰100022222⨐⩸⫘⫏≰12000010=NaN","layer":3},{"info":"↔⫏≰20100122=⫏≰-12222112","layer":3},{"info":"NaN⨓⫏≰-12222112=⫏≰-12222122","layer":2},{"info":"⫏≰-1↺⫏≰-12222122=⫏≰-12222122","layer":1},{"info":"⫏≰11100021⩤=⫏≰-11100021","layer":3},{"info":"⫏≰-11100021⊪=⫏≰21000022011200212","layer":2},{"info":"⫏≰1202021⊉≛↸⫏≰12122001=⫏≰10111112","layer":3},{"info":"⫏≰2021111⩷∴⫏≰2120222=⫏≰-200011","layer":3},{"info":"⫏≰10111112⨽⫏≰-200011=⫏≰-1100202111102200","layer":2},{"info":"⫏≰21000022011200212⋝⋈⪟⫏≰-1100202111102200=⫏≰21000022011200212","layer":1},{"info":"⫏≰-12222122⪛⫏≰21000022011200212=⫏≰21000021221201020","layer":0}]}
{"id":539,"expression_no_base_symbol":"(⨑⩽⪐$4773$⨟⋌⩍$5490$⨽$1754$∑⇟⊟$2786$)⩨($2132$⫥∨⫟$5141$)⨟⋌⩍($1818$⋷$1176$)⋝⋈⪟($1570$⪘⫢$1370$⨵⪆(⊄⩳↩$1036$))","expression":"(⨑⩽⪐⫏≰20112210⨟⋌⩍⫏≰21112100⨽⫏≰2101222∑⇟⊟⫏≰10211012)⩨(⫏≰2220222⫥∨⫟⫏≰21001102)⨟⋌⩍(⫏≰2111100⋷⫏≰1121120)⋝⋈⪟(⫏≰2011011⪘⫢⫏≰1212202⨵⪆(⊄⩳↩⫏≰1102101))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2338,"operation_count":12,"complexity_ratio":194.83333333333334,"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":4773,"base":3},"right_expr":{"type":"numeric_atoms","value":5490,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1754,"base":3},"right_expr":{"type":"numeric_atoms","value":2786,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2132,"base":3},"right_expr":{"type":"numeric_atoms","value":5141,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1818,"base":3},"right_expr":{"type":"numeric_atoms","value":1176,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1570,"base":3},"right_expr":{"type":"numeric_atoms","value":1370,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1036,"base":3}}}}},"used_operators":["2DlMacCsIx","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","U7g4x0WXJJ","2DDjHMKMc0","KYD54nUTWz","23Mk6UjR3U","2DQ55sFlQl","oacrs7FA3X","8w2t5hMYqp"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4773","layer":4},{"info":"number node, value=5490","layer":4},{"info":"compute binary expreesion, left_input=4773, right_input=5490, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1754","layer":4},{"info":"number node, value=2786","layer":4},{"info":"compute binary expreesion, left_input=1754, right_input=2786, 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 = 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=2132","layer":4},{"info":"number node, value=5141","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=5141, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1818","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=1176, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=534","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=534, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1570","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=1370, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3016","layer":3},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3108","layer":3},{"info":"compute binary expreesion, left_input=3016, right_input=-3108, 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 = 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨑⩽⪐⫏≰20112210⨟⋌⩍⫏≰21112100⨽⫏≰2101222∑⇟⊟⫏≰10211012)⩨(⫏≰2220222⫥∨⫟⫏≰21001102)⨟⋌⩍(⫏≰2111100⋷⫏≰1121120)⋝⋈⪟(⫏≰2011011⪘⫢⫏≰1212202⨵⪆(⊄⩳↩⫏≰1102101))=NaN","reverse_text":"NaN=(⨑⩽⪐⫏≰20112210⨟⋌⩍⫏≰21112100⨽⫏≰2101222∑⇟⊟⫏≰10211012)⩨(⫏≰2220222⫥∨⫟⫏≰21001102)⨟⋌⩍(⫏≰2111100⋷⫏≰1121120)⋝⋈⪟(⫏≰2011011⪘⫢⫏≰1212202⨵⪆(⊄⩳↩⫏≰1102101))","cot":[{"info":"⫏≰20112210⨟⋌⩍⫏≰21112100=NaN","layer":3},{"info":"⫏≰2101222∑⇟⊟⫏≰10211012=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⫏≰2220222⫥∨⫟⫏≰21001102=NaN","layer":3},{"info":"⫏≰2111100⋷⫏≰1121120=⫏≰201210","layer":3},{"info":"NaN⨟⋌⩍⫏≰201210=NaN","layer":2},{"info":"⫏≰2011011⪘⫢⫏≰1212202=⫏≰11010201","layer":3},{"info":"⊄⩳↩⫏≰1102101=⫏≰-11021010","layer":3},{"info":"⫏≰11010201⨵⪆⫏≰-11021010=⫏≰12221","layer":2},{"info":"NaN⋝⋈⪟⫏≰12221=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":540,"expression_no_base_symbol":"($4314$⨵⪆$2289$/$2912$⨓$8278$)⨓(($1162$⇋≉)⪒(⨰⫟⨤$1000$))≧⫂∧(($1041$≎⊠⪸$3725$)⋓$1466$↬$1524$⋳⪒($2234$⫥∨⫟$1332$⫸⊐$2691$∀⇚≩$2404$))","expression":"(⫏≰12220210⨵⪆⫏≰10010210/⫏≰10222212⨓⫏≰102100121)⨓((⫏≰1121001⇋≉)⪒(⨰⫟⨤⫏≰1101001))≧⫂∧((⫏≰1102120≎⊠⪸⫏≰12002222)⋓⫏≰2000022↬⫏≰2002110⋳⪒(⫏≰10001202⫥∨⫟⫏≰1211100⫸⊐⫏≰10200200∀⇚≩⫏≰10022001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30746,"operation_count":15,"complexity_ratio":2049.733333333333,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4314,"base":3},"right_expr":{"type":"numeric_atoms","value":2289,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2912,"base":3},"right_expr":{"type":"numeric_atoms","value":8278,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1162,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1000,"base":3}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1041,"base":3},"right_expr":{"type":"numeric_atoms","value":3725,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1466,"base":3},"right_expr":{"type":"numeric_atoms","value":1524,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2234,"base":3},"right_expr":{"type":"numeric_atoms","value":1332,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2691,"base":3},"right_expr":{"type":"numeric_atoms","value":2404,"base":3}}}}},"used_operators":["Ph9nP6C5qx","3ViojmjbAp","XhwjNDsVaA","2DQ55sFlQl","f6k1SAg4EE","XIabStNQrY","Tw270M8GLb","12rbrZMWeM","T2fj7uvVaJ","bJkvcejdHO","B5M0gjZbta","mqXw5SEYmG","KYD54nUTWz","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4314","layer":4},{"info":"number node, value=2289","layer":4},{"info":"compute binary expreesion, left_input=4314, right_input=2289, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2912","layer":4},{"info":"number node, value=8278","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=8278, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8281","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-8281, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1162","layer":4},{"info":"compute unary expreesion, input=1162, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2226","layer":3},{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, 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=2226, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1041","layer":4},{"info":"number node, value=3725","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=3725, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=269146","layer":3},{"info":"number node, value=1466","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=1466, right_input=1524, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=269146, 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=2234","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=2234, right_input=1332, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2691","layer":4},{"info":"number node, value=2404","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=2404, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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 = 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12220210⨵⪆⫏≰10010210/⫏≰10222212⨓⫏≰102100121)⨓((⫏≰1121001⇋≉)⪒(⨰⫟⨤⫏≰1101001))≧⫂∧((⫏≰1102120≎⊠⪸⫏≰12002222)⋓⫏≰2000022↬⫏≰2002110⋳⪒(⫏≰10001202⫥∨⫟⫏≰1211100⫸⊐⫏≰10200200∀⇚≩⫏≰10022001))=NaN","reverse_text":"NaN=(⫏≰12220210⨵⪆⫏≰10010210/⫏≰10222212⨓⫏≰102100121)⨓((⫏≰1121001⇋≉)⪒(⨰⫟⨤⫏≰1101001))≧⫂∧((⫏≰1102120≎⊠⪸⫏≰12002222)⋓⫏≰2000022↬⫏≰2002110⋳⪒(⫏≰10001202⫥∨⫟⫏≰1211100⫸⊐⫏≰10200200∀⇚≩⫏≰10022001))","cot":[{"info":"⫏≰12220210⨵⪆⫏≰10010210=⫏≰12221","layer":3},{"info":"⫏≰10222212⨓⫏≰102100121=⫏≰-102100201","layer":3},{"info":"⫏≰12221/⫏≰-102100201=⫏≰-1","layer":2},{"info":"⫏≰1121001⇋≉=⫏≰10001110","layer":3},{"info":"⨰⫟⨤⫏≰1101001=NaN","layer":3},{"info":"⫏≰10001110⪒NaN=NaN","layer":2},{"info":"⫏≰-1⨓NaN=NaN","layer":1},{"info":"⫏≰1102120≎⊠⪸⫏≰12002222=⫏≰111200012101","layer":3},{"info":"⫏≰2000022↬⫏≰2002110=NaN","layer":3},{"info":"⫏≰111200012101⋓NaN=NaN","layer":2},{"info":"⫏≰10001202⫥∨⫟⫏≰1211100=NaN","layer":3},{"info":"⫏≰10200200∀⇚≩⫏≰10022001=NaN","layer":3},{"info":"NaN⫸⊐NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":541,"expression_no_base_symbol":"(↩$4079$)*($3198$⪐)⩨(+⊝⨔($1004$⩨$1451$))/(⨑⩽⪐(($4126$⫌⩹⨱)⪄$6261$≎⊠⪸$1020$))","expression":"(↩⫏≰12121002)*(⫏≰11101110⪐)⩨(+⊝⨔(⫏≰1101012⩨⫏≰1222202))/(⨑⩽⪐((⫏≰12122211⫌⩹⨱)⪄⫏≰22120220≎⊠⪸⫏≰1101210))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6822,"operation_count":11,"complexity_ratio":620.1818181818181,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4079,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3198,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1004,"base":3},"right_expr":{"type":"numeric_atoms","value":1451,"base":3}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4126,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6261,"base":3},"right_expr":{"type":"numeric_atoms","value":1020,"base":3}}}}},"used_operators":["XhwjNDsVaA","2DlMacCsIx","9HNa5Wba9A","jLgFTUHLKL","eH2TOUuTDT","DhbWaqg5eL","AF7qkfDlqP","SUmda5xLS4","EBcxylXtPf","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4079","layer":4},{"info":"compute unary expreesion, input=4079, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-29852","layer":3},{"info":"number node, value=3198","layer":4},{"info":"compute unary expreesion, input=3198, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6396","layer":3},{"info":"compute binary expreesion, left_input=-29852, right_input=6396, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-190933392","layer":2},{"info":"number node, value=1004","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1451, 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 = 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=-190933392, right_input=1522, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":1},{"info":"number node, value=4126","layer":4},{"info":"compute unary expreesion, input=4126, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9653","layer":3},{"info":"number node, value=6261","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=6261, right_input=1020, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1621126","layer":3},{"info":"compute binary expreesion, left_input=9653, right_input=1621126, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-7909237","layer":2},{"info":"compute unary expreesion, input=-7909237, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=15819263","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=15819263, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":3,"result_base":3,"text":"(↩⫏≰12121002)*(⫏≰11101110⪐)⩨(+⊝⨔(⫏≰1101012⩨⫏≰1222202))/(⨑⩽⪐((⫏≰12122211⫌⩹⨱)⪄⫏≰22120220≎⊠⪸⫏≰1101210))=⫏≰0","reverse_text":"⫏≰0=(↩⫏≰12121002)*(⫏≰11101110⪐)⩨(+⊝⨔(⫏≰1101012⩨⫏≰1222202))/(⨑⩽⪐((⫏≰12122211⫌⩹⨱)⪄⫏≰22120220≎⊠⪸⫏≰1101210))","cot":[{"info":"↩⫏≰12121002=⫏≰-1111221122","layer":3},{"info":"⫏≰11101110⪐=⫏≰22202220","layer":3},{"info":"⫏≰-1111221122*⫏≰22202220=⫏≰-111022021102101010","layer":2},{"info":"⫏≰1101012⩨⫏≰1222202=⫏≰-10","layer":3},{"info":"+⊝⨔⫏≰-10=⫏≰2002101","layer":2},{"info":"⫏≰-111022021102101010⩨⫏≰2002101=⫏≰10","layer":1},{"info":"⫏≰12122211⫌⩹⨱=⫏≰111020112","layer":3},{"info":"⫏≰22120220≎⊠⪸⫏≰1101210=⫏≰10001100202201","layer":3},{"info":"⫏≰111020112⪄⫏≰10001100202201=⫏≰-112212211102201","layer":2},{"info":"⨑⩽⪐⫏≰-112212211102201=⫏≰1002202200221122","layer":1},{"info":"⫏≰10/⫏≰1002202200221122=⫏≰0","layer":0}]}
{"id":542,"expression_no_base_symbol":"⇁⨣⪵(($2124$⪄$3199$)⨓($4209$↙$3203$))∼($3534$⊴$3108$⫌⩹⨱)","expression":"⇁⨣⪵((⫏≰2220200⪄⫏≰11101111)⨓(⫏≰12202220↙⫏≰11101122))∼(⫏≰11211220⊴⫏≰11021010⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16850,"operation_count":7,"complexity_ratio":2407.1428571428573,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2124,"base":3},"right_expr":{"type":"numeric_atoms","value":3199,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4209,"base":3},"right_expr":{"type":"numeric_atoms","value":3203,"base":3}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3534,"base":3},"right_expr":{"type":"numeric_atoms","value":3108,"base":3}}}}},"used_operators":["inkyxCbjAn","DyGG3AbaNP","3ViojmjbAp","SUmda5xLS4","yyfyN0ffXY","EBcxylXtPf","Nsiff2A1zJ"],"dependent_operators":["B5M0gjZbta","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2124","layer":4},{"info":"number node, value=3199","layer":4},{"info":"compute binary expreesion, left_input=2124, right_input=3199, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-323237","layer":3},{"info":"number node, value=4209","layer":4},{"info":"number node, value=3203","layer":4},{"info":"compute binary expreesion, left_input=4209, right_input=3203, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9609","layer":3},{"info":"compute binary expreesion, left_input=-323237, right_input=-9609, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9612","layer":2},{"info":"number node, value=3534","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=3534, right_input=3108, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":"compute binary expreesion, left_input=-9612, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⇁⨣⪵((⫏≰2220200⪄⫏≰11101111)⨓(⫏≰12202220↙⫏≰11101122))∼(⫏≰11211220⊴⫏≰11021010⫌⩹⨱)=NaN","reverse_text":"NaN=⇁⨣⪵((⫏≰2220200⪄⫏≰11101111)⨓(⫏≰12202220↙⫏≰11101122))∼(⫏≰11211220⊴⫏≰11021010⫌⩹⨱)","cot":[{"info":"⫏≰2220200⪄⫏≰11101111=⫏≰-121102101202","layer":3},{"info":"⫏≰12202220↙⫏≰11101122=⫏≰-111011220","layer":3},{"info":"⫏≰-121102101202⨓⫏≰-111011220=⫏≰-111012000","layer":2},{"info":"⫏≰11211220⊴⫏≰11021010=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"⫏≰-111012000∼NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":543,"expression_no_base_symbol":"($1476$⪛$6132$⇷(⋗⩬⋾$5713$)+$2377$∀⇚≩$3707$↺($6106$⋷$1348$))∧","expression":"(⫏≰2000200⪛⫏≰22102010⇷(⋗⩬⋾⫏≰21211121)+⫏≰10021001∀⇚≩⫏≰12002022↺(⫏≰22101011⋷⫏≰1211221))∧","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":37332,"operation_count":8,"complexity_ratio":4666.5,"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":1476,"base":3},"right_expr":{"type":"numeric_atoms","value":6132,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5713,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2377,"base":3},"right_expr":{"type":"numeric_atoms","value":3707,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6106,"base":3},"right_expr":{"type":"numeric_atoms","value":1348,"base":3}}}}},"used_operators":["z63VuFQld9","W4YGzv6Whe","mp7IySMOzn","uFcxV4UQCh","DpFCA1CohY","7j4O788W3g","LRNGc0VcxI","23Mk6UjR3U"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1476","layer":4},{"info":"number node, value=6132","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=6132, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1476","layer":3},{"info":"number node, value=5713","layer":4},{"info":"compute unary expreesion, input=5713, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17139","layer":3},{"info":"compute binary expreesion, left_input=1476, right_input=-17139, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=2377","layer":4},{"info":"number node, value=3707","layer":4},{"info":"compute binary expreesion, left_input=2377, right_input=3707, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6106","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=6106, right_input=1348, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3410","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3410, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3410","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3410, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2000200⪛⫏≰22102010⇷(⋗⩬⋾⫏≰21211121)+⫏≰10021001∀⇚≩⫏≰12002022↺(⫏≰22101011⋷⫏≰1211221))∧=NaN","reverse_text":"NaN=(⫏≰2000200⪛⫏≰22102010⇷(⋗⩬⋾⫏≰21211121)+⫏≰10021001∀⇚≩⫏≰12002022↺(⫏≰22101011⋷⫏≰1211221))∧","cot":[{"info":"⫏≰2000200⪛⫏≰22102010=⫏≰2000200","layer":3},{"info":"⋗⩬⋾⫏≰21211121=⫏≰-212111210","layer":3},{"info":"⫏≰2000200⇷⫏≰-212111210=NaN","layer":2},{"info":"⫏≰10021001∀⇚≩⫏≰12002022=NaN","layer":3},{"info":"⫏≰22101011⋷⫏≰1211221=⫏≰-11200022","layer":3},{"info":"NaN↺⫏≰-11200022=⫏≰-11200022","layer":2},{"info":"NaN+⫏≰-11200022=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":544,"expression_no_base_symbol":"(≤/(≉$2687$))⨟⋌⩍(($1849$⋳⪒$1176$)∑⇟⊟$5603$∀⇚≩$2424$)⨵⪆(⪲⇎$4605$≧⫂∧$1714$)⋓((⫓⪴$7306$)⪄($1626$⊦⊿))","expression":"(≤/(≉⫏≰10200112))⨟⋌⩍((⫏≰2112111⋳⪒⫏≰1121120)∑⇟⊟⫏≰21200112∀⇚≩⫏≰10022210)⨵⪆(⪲⇎⫏≰20022120≧⫂∧⫏≰2100111)⋓((⫓⪴⫏≰101000121)⪄(⫏≰2020020⊦⊿))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":46656,"operation_count":13,"complexity_ratio":3588.923076923077,"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":2687,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1849,"base":3},"right_expr":{"type":"numeric_atoms","value":1176,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5603,"base":3},"right_expr":{"type":"numeric_atoms","value":2424,"base":3}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4605,"base":3},"right_expr":{"type":"numeric_atoms","value":1714,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7306,"base":3}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1626,"base":3}}}}},"used_operators":["2DQ55sFlQl","rGHVDoGpnC","eLAdDNolq6","e1ybzncUwg","U7g4x0WXJJ","12rbrZMWeM","LRNGc0VcxI","T2fj7uvVaJ","XPYlsWDdGa","Ph9nP6C5qx","SUmda5xLS4","eLxqMNBOBk","14qkJME0vr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2687","layer":4},{"info":"compute unary expreesion, input=2687, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3218","layer":3},{"info":"compute unary expreesion, input=3218, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2734","layer":2},{"info":"number node, value=1849","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1849, right_input=1176, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2235","layer":3},{"info":"number node, value=5603","layer":4},{"info":"number node, value=2424","layer":4},{"info":"compute binary expreesion, left_input=5603, right_input=2424, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2235, 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=-2734, 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=4605","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=4605, right_input=1714, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1241","layer":3},{"info":"compute unary expreesion, input=1241, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2482","layer":2},{"info":"number node, value=7306","layer":4},{"info":"compute unary expreesion, input=7306, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=53377636","layer":3},{"info":"number node, value=1626","layer":4},{"info":"compute unary expreesion, input=1626, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4957","layer":3},{"info":"compute binary expreesion, left_input=53377636, right_input=-4957, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=2482, right_input=-inf, op_id = T2fj7uvVaJ 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(≤/(≉⫏≰10200112))⨟⋌⩍((⫏≰2112111⋳⪒⫏≰1121120)∑⇟⊟⫏≰21200112∀⇚≩⫏≰10022210)⨵⪆(⪲⇎⫏≰20022120≧⫂∧⫏≰2100111)⋓((⫓⪴⫏≰101000121)⪄(⫏≰2020020⊦⊿))=⫏≰12221","reverse_text":"⫏≰12221=(≤/(≉⫏≰10200112))⨟⋌⩍((⫏≰2112111⋳⪒⫏≰1121120)∑⇟⊟⫏≰21200112∀⇚≩⫏≰10022210)⨵⪆(⪲⇎⫏≰20022120≧⫂∧⫏≰2100111)⋓((⫓⪴⫏≰101000121)⪄(⫏≰2020020⊦⊿))","cot":[{"info":"≉⫏≰10200112=⫏≰11102012","layer":3},{"info":"≤/⫏≰11102012=⫏≰-10202021","layer":2},{"info":"⫏≰2112111⋳⪒⫏≰1121120=⫏≰10001210","layer":3},{"info":"⫏≰21200112∀⇚≩⫏≰10022210=NaN","layer":3},{"info":"⫏≰10001210∑⇟⊟NaN=NaN","layer":2},{"info":"⫏≰-10202021⨟⋌⩍NaN=NaN","layer":1},{"info":"⫏≰20022120≧⫂∧⫏≰2100111=⫏≰1200222","layer":3},{"info":"⪲⇎⫏≰1200222=⫏≰10101221","layer":2},{"info":"⫓⪴⫏≰101000121=⫏≰10201102212100111","layer":3},{"info":"⫏≰2020020⊦⊿=⫏≰-20210121","layer":3},{"info":"⫏≰10201102212100111⪄⫏≰-20210121=-Inf","layer":2},{"info":"⫏≰10101221⋓-Inf=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫏≰12221","layer":0}]}
{"id":545,"expression_no_base_symbol":"(($1463$↺$1140$)⋥≓≎$1068$≎⊠⪸$2823$-$1644$⪘⫢$1136$⨓$1420$⪮%⊝$1539$)*($2052$∼$1369$⊦⊿)⋓(($3212$∸)⫩⊇)","expression":"((⫏≰2000012↺⫏≰1120020)⋥≓≎⫏≰1110120≎⊠⪸⫏≰10212120-⫏≰2020220⪘⫢⫏≰1120002⨓⫏≰1221121⪮%⊝⫏≰2010000)*(⫏≰2211000∼⫏≰1212201⊦⊿)⋓((⫏≰11101222∸)⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3704,"operation_count":13,"complexity_ratio":284.9230769230769,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1463,"base":3},"right_expr":{"type":"numeric_atoms","value":1140,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1068,"base":3},"right_expr":{"type":"numeric_atoms","value":2823,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1644,"base":3},"right_expr":{"type":"numeric_atoms","value":1136,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1420,"base":3},"right_expr":{"type":"numeric_atoms","value":1539,"base":3}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2052,"base":3},"right_expr":{"type":"numeric_atoms","value":1369,"base":3}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3212,"base":3}}}}},"used_operators":["9HNa5Wba9A","rysDP5nf3Z","Qy55tPpLXF","7j4O788W3g","bJkvcejdHO","3ViojmjbAp","oacrs7FA3X","IWmyXbctLI","T2fj7uvVaJ","14qkJME0vr","DyGG3AbaNP","BjRHVeLaeN","o20kRiQErp"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1463","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=1140, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1140","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=2823","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=2823, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=276139","layer":3},{"info":"compute binary expreesion, left_input=1140, right_input=276139, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=551171","layer":2},{"info":"number node, value=1644","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=1136, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3164","layer":3},{"info":"number node, value=1420","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=1539, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3156","layer":3},{"info":"compute binary expreesion, left_input=3164, right_input=3156, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3159","layer":2},{"info":"compute binary expreesion, left_input=551171, right_input=-3159, op_id = rysDP5nf3Z binary_op_definition= 'None', output=554330","layer":1},{"info":"number node, value=2052","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=2052, right_input=1369, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=3212","layer":4},{"info":"compute unary expreesion, input=3212, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-135","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-135, op_id = T2fj7uvVaJ 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=554330, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2000012↺⫏≰1120020)⋥≓≎⫏≰1110120≎⊠⪸⫏≰10212120-⫏≰2020220⪘⫢⫏≰1120002⨓⫏≰1221121⪮%⊝⫏≰2010000)*(⫏≰2211000∼⫏≰1212201⊦⊿)⋓((⫏≰11101222∸)⫩⊇)=⫏≰0","reverse_text":"⫏≰0=((⫏≰2000012↺⫏≰1120020)⋥≓≎⫏≰1110120≎⊠⪸⫏≰10212120-⫏≰2020220⪘⫢⫏≰1120002⨓⫏≰1221121⪮%⊝⫏≰2010000)*(⫏≰2211000∼⫏≰1212201⊦⊿)⋓((⫏≰11101222∸)⫩⊇)","cot":[{"info":"⫏≰2000012↺⫏≰1120020=⫏≰1120020","layer":3},{"info":"⫏≰1110120≎⊠⪸⫏≰10212120=⫏≰112000210101","layer":3},{"info":"⫏≰1120020⋥≓≎⫏≰112000210101=⫏≰1001000001202","layer":2},{"info":"⫏≰2020220⪘⫢⫏≰1120002=⫏≰11100012","layer":3},{"info":"⫏≰1221121⪮%⊝⫏≰2010000=⫏≰11022220","layer":3},{"info":"⫏≰11100012⨓⫏≰11022220=⫏≰-11100000","layer":2},{"info":"⫏≰1001000001202-⫏≰-11100000=⫏≰1001011101202","layer":1},{"info":"⫏≰2211000∼⫏≰1212201=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⫏≰11101222∸=⫏≰20120","layer":3},{"info":"⫏≰20120⫩⊇=⫏≰-12000","layer":2},{"info":"NaN⋓⫏≰-12000=⫏≰0","layer":1},{"info":"⫏≰1001011101202*⫏≰0=⫏≰0","layer":0}]}
{"id":546,"expression_no_base_symbol":"(($5417$⫡⨏$3230$)⪘⫢$3583$⪘⫢$4460$)⊴(($6266$≎⊠⪸$1356$)↬($1801$-$1274$))⫡⨏($4282$-$6854$)⋝⋈⪟($5045$⋝⋈⪟$1956$)⊭↱(⋗⩬⋾$5296$)∀⇚≩($1838$⊭↱$1033$)","expression":"((⫏≰21102122⫡⨏⫏≰11102122)⪘⫢⫏≰11220201⪘⫢⫏≰20010012)⊴((⫏≰22121002≎⊠⪸⫏≰1212020)↬(⫏≰2110201-⫏≰1202012))⫡⨏(⫏≰12212121-⫏≰100101212)⋝⋈⪟(⫏≰20220212⋝⋈⪟⫏≰2200110)⊭↱(⋗⩬⋾⫏≰21021011)∀⇚≩(⫏≰2112002⊭↱⫏≰1102021)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":111561,"operation_count":15,"complexity_ratio":7437.4,"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":5417,"base":3},"right_expr":{"type":"numeric_atoms","value":3230,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3583,"base":3},"right_expr":{"type":"numeric_atoms","value":4460,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6266,"base":3},"right_expr":{"type":"numeric_atoms","value":1356,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1801,"base":3},"right_expr":{"type":"numeric_atoms","value":1274,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4282,"base":3},"right_expr":{"type":"numeric_atoms","value":6854,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5045,"base":3},"right_expr":{"type":"numeric_atoms","value":1956,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5296,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1838,"base":3},"right_expr":{"type":"numeric_atoms","value":1033,"base":3}}}}},"used_operators":["QMFrweE19q","Nsiff2A1zJ","oacrs7FA3X","B5M0gjZbta","bJkvcejdHO","rysDP5nf3Z","COABgblf1C","2DDjHMKMc0","LRNGc0VcxI","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5417","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=5417, right_input=3230, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=34328","layer":3},{"info":"number node, value=3583","layer":4},{"info":"number node, value=4460","layer":4},{"info":"compute binary expreesion, left_input=3583, right_input=4460, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7042","layer":3},{"info":"compute binary expreesion, left_input=34328, right_input=7042, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=68532","layer":2},{"info":"number node, value=6266","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=6266, right_input=1356, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1622421","layer":3},{"info":"number node, value=1801","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=1801, right_input=1274, op_id = rysDP5nf3Z binary_op_definition= 'None', output=527","layer":3},{"info":"compute binary expreesion, left_input=1622421, right_input=527, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=68532, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4282","layer":4},{"info":"number node, value=6854","layer":4},{"info":"compute binary expreesion, left_input=4282, right_input=6854, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2572","layer":3},{"info":"number node, value=5045","layer":4},{"info":"number node, value=1956","layer":4},{"info":"compute binary expreesion, left_input=5045, right_input=1956, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5045","layer":3},{"info":"compute binary expreesion, left_input=-2572, right_input=5045, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-2572","layer":2},{"info":"number node, value=5296","layer":4},{"info":"compute unary expreesion, input=5296, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15888","layer":3},{"info":"number node, value=1838","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=1033, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1605","layer":3},{"info":"compute binary expreesion, left_input=-15888, right_input=-1605, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-2572, 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=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":3,"result_base":3,"text":"((⫏≰21102122⫡⨏⫏≰11102122)⪘⫢⫏≰11220201⪘⫢⫏≰20010012)⊴((⫏≰22121002≎⊠⪸⫏≰1212020)↬(⫏≰2110201-⫏≰1202012))⫡⨏(⫏≰12212121-⫏≰100101212)⋝⋈⪟(⫏≰20220212⋝⋈⪟⫏≰2200110)⊭↱(⋗⩬⋾⫏≰21021011)∀⇚≩(⫏≰2112002⊭↱⫏≰1102021)=NaN","reverse_text":"NaN=((⫏≰21102122⫡⨏⫏≰11102122)⪘⫢⫏≰11220201⪘⫢⫏≰20010012)⊴((⫏≰22121002≎⊠⪸⫏≰1212020)↬(⫏≰2110201-⫏≰1202012))⫡⨏(⫏≰12212121-⫏≰100101212)⋝⋈⪟(⫏≰20220212⋝⋈⪟⫏≰2200110)⊭↱(⋗⩬⋾⫏≰21021011)∀⇚≩(⫏≰2112002⊭↱⫏≰1102021)","cot":[{"info":"⫏≰21102122⫡⨏⫏≰11102122=⫏≰1202002102","layer":3},{"info":"⫏≰11220201⪘⫢⫏≰20010012=⫏≰100122211","layer":3},{"info":"⫏≰1202002102⪘⫢⫏≰100122211=⫏≰10111000020","layer":2},{"info":"⫏≰22121002≎⊠⪸⫏≰1212020=⫏≰10001102112200","layer":3},{"info":"⫏≰2110201-⫏≰1202012=⫏≰201112","layer":3},{"info":"⫏≰10001102112200↬⫏≰201112=NaN","layer":2},{"info":"⫏≰10111000020⊴NaN=NaN","layer":1},{"info":"⫏≰12212121-⫏≰100101212=⫏≰-10112021","layer":3},{"info":"⫏≰20220212⋝⋈⪟⫏≰2200110=⫏≰20220212","layer":3},{"info":"⫏≰-10112021⋝⋈⪟⫏≰20220212=⫏≰-10112021","layer":2},{"info":"⋗⩬⋾⫏≰21021011=⫏≰-210210110","layer":3},{"info":"⫏≰2112002⊭↱⫏≰1102021=⫏≰-2012110","layer":3},{"info":"⫏≰-210210110∀⇚≩⫏≰-2012110=NaN","layer":2},{"info":"⫏≰-10112021⊭↱NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":547,"expression_no_base_symbol":"⨑⩽⪐(($4122$⪢$4984$)⪢($5912$∧))⊴(+⊝⨔($3270$⩨$1076$))","expression":"⨑⩽⪐((⫏≰12122200⪢⫏≰20211121)⪢(⫏≰22002222∧))⊴(+⊝⨔(⫏≰11111010⩨⫏≰1110212))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6550,"operation_count":7,"complexity_ratio":935.7142857142857,"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":4122,"base":3},"right_expr":{"type":"numeric_atoms","value":4984,"base":3}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5912,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3270,"base":3},"right_expr":{"type":"numeric_atoms","value":1076,"base":3}}}}},"used_operators":["AF7qkfDlqP","Nsiff2A1zJ","dWAJyo7jo9","z63VuFQld9","DhbWaqg5eL","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4122","layer":4},{"info":"number node, value=4984","layer":4},{"info":"compute binary expreesion, left_input=4122, right_input=4984, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5912","layer":4},{"info":"compute unary expreesion, input=5912, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3270","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=3270, right_input=1076, 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 = 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":3,"result_base":3,"text":"⨑⩽⪐((⫏≰12122200⪢⫏≰20211121)⪢(⫏≰22002222∧))⊴(+⊝⨔(⫏≰11111010⩨⫏≰1110212))=NaN","reverse_text":"NaN=⨑⩽⪐((⫏≰12122200⪢⫏≰20211121)⪢(⫏≰22002222∧))⊴(+⊝⨔(⫏≰11111010⩨⫏≰1110212))","cot":[{"info":"⫏≰12122200⪢⫏≰20211121=NaN","layer":3},{"info":"⫏≰22002222∧=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"⫏≰11111010⩨⫏≰1110212=⫏≰0","layer":3},{"info":"+⊝⨔⫏≰0=⫏≰2002101","layer":2},{"info":"NaN⊴⫏≰2002101=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":548,"expression_no_base_symbol":"($3027$⋳⪒$4105$-$1210$⊴$1200$)⋓(↣≠⋷$1576$)⨟⋌⩍($3311$⪐)⊭↱(($3054$⩚⊴⇥$1382$)∼($6219$⩠)*($2884$⊠≄⫣)⨐⩸⫘$3098$⋓$4342$)","expression":"(⫏≰11011010⋳⪒⫏≰12122001-⫏≰1122211⊴⫏≰1122110)⋓(↣≠⋷⫏≰2011101)⨟⋌⩍(⫏≰11112122⪐)⊭↱((⫏≰11012010⩚⊴⇥⫏≰1220012)∼(⫏≰22112100⩠)*(⫏≰10221211⊠≄⫣)⨐⩸⫘⫏≰11020202⋓⫏≰12221211)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1508,"operation_count":15,"complexity_ratio":100.53333333333333,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3027,"base":3},"right_expr":{"type":"numeric_atoms","value":4105,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1210,"base":3},"right_expr":{"type":"numeric_atoms","value":1200,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1576,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3311,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3054,"base":3},"right_expr":{"type":"numeric_atoms","value":1382,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":6219,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2884,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3098,"base":3},"right_expr":{"type":"numeric_atoms","value":4342,"base":3}}}}},"used_operators":["COABgblf1C","T2fj7uvVaJ","rysDP5nf3Z","12rbrZMWeM","Nsiff2A1zJ","rGHVDoGpnC","Asc51vEJeQ","eH2TOUuTDT","9HNa5Wba9A","DyGG3AbaNP","NTOWxs364D","sJAwomhLZr","fu6greOZ01","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3027","layer":4},{"info":"number node, value=4105","layer":4},{"info":"compute binary expreesion, left_input=3027, right_input=4105, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1662","layer":3},{"info":"number node, value=1210","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1200, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1662, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1576","layer":4},{"info":"compute unary expreesion, input=1576, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3311","layer":4},{"info":"compute unary expreesion, input=3311, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6622","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6622, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = T2fj7uvVaJ 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=3054","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=3054, right_input=1382, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4557","layer":3},{"info":"number node, value=6219","layer":4},{"info":"compute unary expreesion, input=6219, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4557, 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=2884","layer":4},{"info":"compute unary expreesion, input=2884, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3098","layer":4},{"info":"number node, value=4342","layer":4},{"info":"compute binary expreesion, left_input=3098, right_input=4342, op_id = T2fj7uvVaJ 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=20, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11011010⋳⪒⫏≰12122001-⫏≰1122211⊴⫏≰1122110)⋓(↣≠⋷⫏≰2011101)⨟⋌⩍(⫏≰11112122⪐)⊭↱((⫏≰11012010⩚⊴⇥⫏≰1220012)∼(⫏≰22112100⩠)*(⫏≰10221211⊠≄⫣)⨐⩸⫘⫏≰11020202⋓⫏≰12221211)=NaN","reverse_text":"NaN=(⫏≰11011010⋳⪒⫏≰12122001-⫏≰1122211⊴⫏≰1122110)⋓(↣≠⋷⫏≰2011101)⨟⋌⩍(⫏≰11112122⪐)⊭↱((⫏≰11012010⩚⊴⇥⫏≰1220012)∼(⫏≰22112100⩠)*(⫏≰10221211⊠≄⫣)⨐⩸⫘⫏≰11020202⋓⫏≰12221211)","cot":[{"info":"⫏≰11011010⋳⪒⫏≰12122001=⫏≰2021120","layer":3},{"info":"⫏≰1122211⊴⫏≰1122110=NaN","layer":3},{"info":"⫏≰2021120-NaN=NaN","layer":2},{"info":"↣≠⋷⫏≰2011101=NaN","layer":3},{"info":"⫏≰11112122⪐=⫏≰100002021","layer":3},{"info":"NaN⨟⋌⩍⫏≰100002021=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⫏≰11012010⩚⊴⇥⫏≰1220012=⫏≰-20020210","layer":3},{"info":"⫏≰22112100⩠=⫏≰0","layer":3},{"info":"⫏≰-20020210∼⫏≰0=⫏≰202","layer":2},{"info":"⫏≰10221211⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰11020202⋓⫏≰12221211=⫏≰0","layer":3},{"info":"⫏≰0⨐⩸⫘⫏≰0=⫏≰0","layer":2},{"info":"⫏≰202*⫏≰0=⫏≰0","layer":1},{"info":"NaN⊭↱⫏≰0=NaN","layer":0}]}
{"id":549,"expression_no_base_symbol":"$5225$⋝⋈⪟$2002$⨎$7807$≭$1258$↺($3158$≭$4072$)⨪↰⇹($1841$⪒$4852$)⨳⩥⨓(($2706$⪮%⊝$4302$)⪮%⊝($9178$⫡⨏$1113$)↺($1312$⨐⩸⫘$3610$↙($6620$⊘)))","expression":"⫏≰21011112⋝⋈⪟⫏≰2202011⨎⫏≰101201011≭⫏≰1201121↺(⫏≰11022222≭⫏≰12120211)⨪↰⇹(⫏≰2112012⪒⫏≰20122201)⨳⩥⨓((⫏≰10201020⪮%⊝⫏≰12220100)⪮%⊝(⫏≰110120221⫡⨏⫏≰1112020)↺(⫏≰1210121⨐⩸⫘⫏≰11221201↙(⫏≰100002012⊘)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":63,"operation_count":15,"complexity_ratio":4.2,"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":5225,"base":3},"right_expr":{"type":"numeric_atoms","value":2002,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7807,"base":3},"right_expr":{"type":"numeric_atoms","value":1258,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3158,"base":3},"right_expr":{"type":"numeric_atoms","value":4072,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1841,"base":3},"right_expr":{"type":"numeric_atoms","value":4852,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2706,"base":3},"right_expr":{"type":"numeric_atoms","value":4302,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":9178,"base":3},"right_expr":{"type":"numeric_atoms","value":1113,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1312,"base":3},"right_expr":{"type":"numeric_atoms","value":3610,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":6620,"base":3}}}}},"used_operators":["nCS4ZIUYfx","7j4O788W3g","rJVOvQCfKK","2DDjHMKMc0","rxpJgHHUmx","tmPS8pqC7x","f6k1SAg4EE","IWmyXbctLI","QMFrweE19q","yyfyN0ffXY","fu6greOZ01","gu96TGCTMs"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5225","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=5225, right_input=2002, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5225","layer":3},{"info":"number node, value=7807","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=7807, right_input=1258, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5225, 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=3158","layer":4},{"info":"number node, value=4072","layer":4},{"info":"compute binary expreesion, left_input=3158, right_input=4072, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1841","layer":4},{"info":"number node, value=4852","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=4852, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6693","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6693, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = 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=2706","layer":4},{"info":"number node, value=4302","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=4302, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5728","layer":3},{"info":"number node, value=9178","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=9178, right_input=1113, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=48899","layer":3},{"info":"compute binary expreesion, left_input=5728, right_input=48899, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11772","layer":2},{"info":"number node, value=1312","layer":4},{"info":"number node, value=3610","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=3610, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=6620","layer":4},{"info":"compute unary expreesion, input=6620, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11772, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫏≰21011112⋝⋈⪟⫏≰2202011⨎⫏≰101201011≭⫏≰1201121↺(⫏≰11022222≭⫏≰12120211)⨪↰⇹(⫏≰2112012⪒⫏≰20122201)⨳⩥⨓((⫏≰10201020⪮%⊝⫏≰12220100)⪮%⊝(⫏≰110120221⫡⨏⫏≰1112020)↺(⫏≰1210121⨐⩸⫘⫏≰11221201↙(⫏≰100002012⊘)))=NaN","reverse_text":"NaN=⫏≰21011112⋝⋈⪟⫏≰2202011⨎⫏≰101201011≭⫏≰1201121↺(⫏≰11022222≭⫏≰12120211)⨪↰⇹(⫏≰2112012⪒⫏≰20122201)⨳⩥⨓((⫏≰10201020⪮%⊝⫏≰12220100)⪮%⊝(⫏≰110120221⫡⨏⫏≰1112020)↺(⫏≰1210121⨐⩸⫘⫏≰11221201↙(⫏≰100002012⊘)))","cot":[{"info":"⫏≰21011112⋝⋈⪟⫏≰2202011=⫏≰21011112","layer":3},{"info":"⫏≰101201011≭⫏≰1201121=NaN","layer":3},{"info":"⫏≰21011112⨎NaN=NaN","layer":2},{"info":"⫏≰11022222≭⫏≰12120211=NaN","layer":3},{"info":"⫏≰2112012⪒⫏≰20122201=⫏≰-100011220","layer":3},{"info":"NaN⨪↰⇹⫏≰-100011220=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⫏≰10201020⪮%⊝⫏≰12220100=⫏≰21212011","layer":3},{"info":"⫏≰110120221⫡⨏⫏≰1112020=⫏≰2111002002","layer":3},{"info":"⫏≰21212011⪮%⊝⫏≰2111002002=⫏≰121011000","layer":2},{"info":"⫏≰1210121⨐⩸⫘⫏≰11221201=NaN","layer":3},{"info":"⫏≰100002012⊘=⫏≰0","layer":3},{"info":"NaN↙⫏≰0=NaN","layer":2},{"info":"⫏≰121011000↺NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":550,"expression_no_base_symbol":"∂((↩$8527$⨳⩥⨓$2561$)∑⇟⊟((∥⊫$1605$)↺(⪲⇎$5023$)))","expression":"∂((↩⫏≰102200211⨳⩥⨓⫏≰10111212)∑⇟⊟((∥⊫⫏≰2012110)↺(⪲⇎⫏≰20220001)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":33,"operation_count":7,"complexity_ratio":4.714285714285714,"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":8527,"base":3},"right_expr":{"type":"numeric_atoms","value":2561,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1605,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5023,"base":3}}}}},"used_operators":["Uaa54Peajs","U7g4x0WXJJ","jLgFTUHLKL","nCS4ZIUYfx","7j4O788W3g","P8v4zCKN1o","XPYlsWDdGa"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8527","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=8527, right_input=2561, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5966","layer":3},{"info":"compute unary expreesion, input=-5966, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=26484","layer":2},{"info":"number node, value=1605","layer":4},{"info":"compute unary expreesion, input=1605, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2473","layer":3},{"info":"number node, value=5023","layer":4},{"info":"compute unary expreesion, input=5023, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10046","layer":3},{"info":"compute binary expreesion, left_input=2473, right_input=10046, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=10046","layer":2},{"info":"compute binary expreesion, left_input=26484, right_input=10046, 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 = 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":3,"result_base":3,"text":"∂((↩⫏≰102200211⨳⩥⨓⫏≰10111212)∑⇟⊟((∥⊫⫏≰2012110)↺(⪲⇎⫏≰20220001)))=NaN","reverse_text":"NaN=∂((↩⫏≰102200211⨳⩥⨓⫏≰10111212)∑⇟⊟((∥⊫⫏≰2012110)↺(⪲⇎⫏≰20220001)))","cot":[{"info":"⫏≰102200211⨳⩥⨓⫏≰10111212=⫏≰-22011222","layer":3},{"info":"↩⫏≰-22011222=⫏≰1100022220","layer":2},{"info":"∥⊫⫏≰2012110=⫏≰10101121","layer":3},{"info":"⪲⇎⫏≰20220001=⫏≰111210002","layer":3},{"info":"⫏≰10101121↺⫏≰111210002=⫏≰111210002","layer":2},{"info":"⫏≰1100022220∑⇟⊟⫏≰111210002=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":551,"expression_no_base_symbol":"(⩦⩻⨪($4190$⪨≂$1673$)⩷∴$1527$↬$1720$)⨪↰⇹(($2868$⨐⩸⫘$1073$⨵⪆$1244$-$4217$)⪒($1104$⨸⪁$2359$)⫥∨⫟($1659$↺$2726$))","expression":"(⩦⩻⨪(⫏≰12202012⪨≂⫏≰2021222)⩷∴⫏≰2002120↬⫏≰2100201)⨪↰⇹((⫏≰10221020⨐⩸⫘⫏≰1110202⨵⪆⫏≰1201002-⫏≰12210012)⪒(⫏≰1111220⨸⪁⫏≰10020101)⫥∨⫟(⫏≰2021110↺⫏≰10201222))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":181,"operation_count":12,"complexity_ratio":15.083333333333334,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4190,"base":3},"right_expr":{"type":"numeric_atoms","value":1673,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1527,"base":3},"right_expr":{"type":"numeric_atoms","value":1720,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2868,"base":3},"right_expr":{"type":"numeric_atoms","value":1073,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1244,"base":3},"right_expr":{"type":"numeric_atoms","value":4217,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1104,"base":3},"right_expr":{"type":"numeric_atoms","value":2359,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1659,"base":3},"right_expr":{"type":"numeric_atoms","value":2726,"base":3}}}}},"used_operators":["tmPS8pqC7x","2td37pGCOC","9FxExcQeMw","sdazOOVcIp","B5M0gjZbta","f6k1SAg4EE","2DQ55sFlQl","fu6greOZ01","rysDP5nf3Z","KYD54nUTWz","g55IO6H4Gj","7j4O788W3g"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4190","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=4190, right_input=1673, op_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":3},{"info":"number node, value=1527","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=1527, right_input=1720, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5136, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=2868","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=2868, right_input=1073, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1244","layer":4},{"info":"number node, value=4217","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=4217, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2973","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2973, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1104","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=2359, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6926","layer":3},{"info":"number node, value=1659","layer":4},{"info":"number node, value=2726","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=2726, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2726","layer":3},{"info":"compute binary expreesion, left_input=6926, right_input=2726, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', 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":3,"result_base":3,"text":"(⩦⩻⨪(⫏≰12202012⪨≂⫏≰2021222)⩷∴⫏≰2002120↬⫏≰2100201)⨪↰⇹((⫏≰10221020⨐⩸⫘⫏≰1110202⨵⪆⫏≰1201002-⫏≰12210012)⪒(⫏≰1111220⨸⪁⫏≰10020101)⫥∨⫟(⫏≰2021110↺⫏≰10201222))=NaN","reverse_text":"NaN=(⩦⩻⨪(⫏≰12202012⪨≂⫏≰2021222)⩷∴⫏≰2002120↬⫏≰2100201)⨪↰⇹((⫏≰10221020⨐⩸⫘⫏≰1110202⨵⪆⫏≰1201002-⫏≰12210012)⪒(⫏≰1111220⨸⪁⫏≰10020101)⫥∨⫟(⫏≰2021110↺⫏≰10201222))","cot":[{"info":"⫏≰12202012⪨≂⫏≰2021222=⫏≰21001020","layer":3},{"info":"⫏≰2002120↬⫏≰2100201=NaN","layer":3},{"info":"⫏≰21001020⩷∴NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⫏≰10221020⨐⩸⫘⫏≰1110202=NaN","layer":3},{"info":"⫏≰1201002-⫏≰12210012=⫏≰-11002010","layer":3},{"info":"NaN⨵⪆⫏≰-11002010=⫏≰12221","layer":2},{"info":"⫏≰1111220⨸⪁⫏≰10020101=⫏≰100111112","layer":3},{"info":"⫏≰2021110↺⫏≰10201222=⫏≰10201222","layer":3},{"info":"⫏≰100111112⫥∨⫟⫏≰10201222=NaN","layer":2},{"info":"⫏≰12221⪒NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":552,"expression_no_base_symbol":"((+⊝⨔($2079$⋥≓≎$2469$))⨳⩥⨓(($1629$+$3027$)↺$5264$≎⊠⪸$2113$))⪮%⊝(($6984$↙$4478$)⪢($4756$∼$1308$)+⇶⊼(($1850$⊭↱$1667$)+⇶⊼($5365$≋⫹)))","expression":"((+⊝⨔(⫏≰2212000⋥≓≎⫏≰10101110))⨳⩥⨓((⫏≰2020100+⫏≰11011010)↺⫏≰21012222≎⊠⪸⫏≰2220021))⪮%⊝((⫏≰100120200↙⫏≰20010212)⪢(⫏≰20112011∼⫏≰1210110)+⇶⊼((⫏≰2112112⊭↱⫏≰2021202)+⇶⊼(⫏≰21100201≋⫹)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4917,"operation_count":14,"complexity_ratio":351.2142857142857,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2079,"base":3},"right_expr":{"type":"numeric_atoms","value":2469,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1629,"base":3},"right_expr":{"type":"numeric_atoms","value":3027,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5264,"base":3},"right_expr":{"type":"numeric_atoms","value":2113,"base":3}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6984,"base":3},"right_expr":{"type":"numeric_atoms","value":4478,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4756,"base":3},"right_expr":{"type":"numeric_atoms","value":1308,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1850,"base":3},"right_expr":{"type":"numeric_atoms","value":1667,"base":3}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5365,"base":3}}}}},"used_operators":["IWmyXbctLI","nCS4ZIUYfx","DhbWaqg5eL","Qy55tPpLXF","7j4O788W3g","W4YGzv6Whe","bJkvcejdHO","TpPTUOHfaN","dWAJyo7jo9","yyfyN0ffXY","DyGG3AbaNP","COABgblf1C","N41Kp7NANJ"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2079","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=2079, right_input=2469, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2892","layer":3},{"info":"compute unary expreesion, input=2892, 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=1629","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=1629, right_input=3027, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4656","layer":3},{"info":"number node, value=5264","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=5264, right_input=2113, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1362903","layer":3},{"info":"compute binary expreesion, left_input=4656, right_input=1362903, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1362903","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=1362903, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1361381","layer":1},{"info":"number node, value=6984","layer":4},{"info":"number node, value=4478","layer":4},{"info":"compute binary expreesion, left_input=6984, right_input=4478, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13434","layer":3},{"info":"number node, value=4756","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=4756, right_input=1308, 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=-13434, 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=1850","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=1667, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-361","layer":3},{"info":"number node, value=5365","layer":4},{"info":"compute unary expreesion, input=5365, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10730","layer":3},{"info":"compute binary expreesion, left_input=-361, right_input=-10730, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1361381, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((+⊝⨔(⫏≰2212000⋥≓≎⫏≰10101110))⨳⩥⨓((⫏≰2020100+⫏≰11011010)↺⫏≰21012222≎⊠⪸⫏≰2220021))⪮%⊝((⫏≰100120200↙⫏≰20010212)⪢(⫏≰20112011∼⫏≰1210110)+⇶⊼((⫏≰2112112⊭↱⫏≰2021202)+⇶⊼(⫏≰21100201≋⫹)))=NaN","reverse_text":"NaN=((+⊝⨔(⫏≰2212000⋥≓≎⫏≰10101110))⨳⩥⨓((⫏≰2020100+⫏≰11011010)↺⫏≰21012222≎⊠⪸⫏≰2220021))⪮%⊝((⫏≰100120200↙⫏≰20010212)⪢(⫏≰20112011∼⫏≰1210110)+⇶⊼((⫏≰2112112⊭↱⫏≰2021202)+⇶⊼(⫏≰21100201≋⫹)))","cot":[{"info":"⫏≰2212000⋥≓≎⫏≰10101110=⫏≰10222010","layer":3},{"info":"+⊝⨔⫏≰10222010=⫏≰2002101","layer":2},{"info":"⫏≰2020100+⫏≰11011010=⫏≰20101110","layer":3},{"info":"⫏≰21012222≎⊠⪸⫏≰2220021=⫏≰2120020112220","layer":3},{"info":"⫏≰20101110↺⫏≰2120020112220=⫏≰2120020112220","layer":2},{"info":"⫏≰2002101⨳⩥⨓⫏≰2120020112220=⫏≰2120011110112","layer":1},{"info":"⫏≰100120200↙⫏≰20010212=⫏≰-200102120","layer":3},{"info":"⫏≰20112011∼⫏≰1210110=NaN","layer":3},{"info":"⫏≰-200102120⪢NaN=NaN","layer":2},{"info":"⫏≰2112112⊭↱⫏≰2021202=⫏≰-111101","layer":3},{"info":"⫏≰21100201≋⫹=⫏≰-112201102","layer":3},{"info":"⫏≰-111101+⇶⊼⫏≰-112201102=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⫏≰2120011110112⪮%⊝NaN=NaN","layer":0}]}
{"id":553,"expression_no_base_symbol":"((($1280$⨵⪆$1362$)∲⫓$1997$*$3488$)⫩⊇)⫡⨏(($1568$↬$4969$)⇷$2407$⪘⫢$3443$⊭∹↮)","expression":"(((⫏≰1202102⨵⪆⫏≰1212110)∲⫓⫏≰2201222*⫏≰11210012)⫩⊇)⫡⨏((⫏≰2011002↬⫏≰20211001)⇷⫏≰10022011⪘⫢⫏≰11201112⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2038,"operation_count":9,"complexity_ratio":226.44444444444446,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1280,"base":3},"right_expr":{"type":"numeric_atoms","value":1362,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1997,"base":3},"right_expr":{"type":"numeric_atoms","value":3488,"base":3}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1568,"base":3},"right_expr":{"type":"numeric_atoms","value":4969,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2407,"base":3},"right_expr":{"type":"numeric_atoms","value":3443,"base":3}}}}},"used_operators":["QMFrweE19q","BjRHVeLaeN","i8ToyICDmI","2DQ55sFlQl","9HNa5Wba9A","xNBdhnnwKq","mp7IySMOzn","B5M0gjZbta","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫏≰1221211102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1280","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=1362, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1997","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=3488, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6965536","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6965536, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":1},{"info":"number node, value=1568","layer":4},{"info":"number node, value=4969","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=4969, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2407","layer":4},{"info":"number node, value=3443","layer":4},{"info":"compute binary expreesion, left_input=2407, right_input=3443, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4690","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4690, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9380","layer":2},{"info":"compute unary expreesion, input=9380, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=18760","layer":1},{"info":"compute binary expreesion, left_input=42, right_input=18760, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=38513","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1202102⨵⪆⫏≰1212110)∲⫓⫏≰2201222*⫏≰11210012)⫩⊇)⫡⨏((⫏≰2011002↬⫏≰20211001)⇷⫏≰10022011⪘⫢⫏≰11201112⊭∹↮)=⫏≰1221211102","reverse_text":"⫏≰1221211102=(((⫏≰1202102⨵⪆⫏≰1212110)∲⫓⫏≰2201222*⫏≰11210012)⫩⊇)⫡⨏((⫏≰2011002↬⫏≰20211001)⇷⫏≰10022011⪘⫢⫏≰11201112⊭∹↮)","cot":[{"info":"⫏≰1202102⨵⪆⫏≰1212110=⫏≰12221","layer":3},{"info":"⫏≰2201222*⫏≰11210012=⫏≰111002212220211","layer":3},{"info":"⫏≰12221∲⫓⫏≰111002212220211=⫏≰0","layer":2},{"info":"⫏≰0⫩⊇=⫏≰1120","layer":1},{"info":"⫏≰2011002↬⫏≰20211001=NaN","layer":3},{"info":"⫏≰10022011⪘⫢⫏≰11201112=⫏≰20102201","layer":3},{"info":"NaN⇷⫏≰20102201=⫏≰110212102","layer":2},{"info":"⫏≰110212102⊭∹↮=⫏≰221201211","layer":1},{"info":"⫏≰1120⫡⨏⫏≰221201211=⫏≰1221211102","layer":0}]}
{"id":554,"expression_no_base_symbol":"(((⪲⇎$7419$)/$2176$⊴$1160$)↬($3087$⫸⊐$2567$%$1505$∼$2741$))⩠","expression":"(((⪲⇎⫏≰101011210)/⫏≰2222121⊴⫏≰1120222)↬(⫏≰11020100⫸⊐⫏≰10112002%⫏≰2001202∼⫏≰10202112))⩠","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1394,"operation_count":8,"complexity_ratio":174.25,"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":7419,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2176,"base":3},"right_expr":{"type":"numeric_atoms","value":1160,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3087,"base":3},"right_expr":{"type":"numeric_atoms","value":2567,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1505,"base":3},"right_expr":{"type":"numeric_atoms","value":2741,"base":3}}}}},"used_operators":["sJAwomhLZr","B5M0gjZbta","XhwjNDsVaA","XPYlsWDdGa","Nsiff2A1zJ","k8jYdgA6NY","mqXw5SEYmG","DyGG3AbaNP"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7419","layer":4},{"info":"compute unary expreesion, input=7419, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=14838","layer":3},{"info":"number node, value=2176","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=1160, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14838, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3087","layer":4},{"info":"number node, value=2567","layer":4},{"info":"compute binary expreesion, left_input=3087, right_input=2567, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10143","layer":3},{"info":"number node, value=1505","layer":4},{"info":"number node, value=2741","layer":4},{"info":"compute binary expreesion, left_input=1505, right_input=2741, 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=10143, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⪲⇎⫏≰101011210)/⫏≰2222121⊴⫏≰1120222)↬(⫏≰11020100⫸⊐⫏≰10112002%⫏≰2001202∼⫏≰10202112))⩠=NaN","reverse_text":"NaN=(((⪲⇎⫏≰101011210)/⫏≰2222121⊴⫏≰1120222)↬(⫏≰11020100⫸⊐⫏≰10112002%⫏≰2001202∼⫏≰10202112))⩠","cot":[{"info":"⪲⇎⫏≰101011210=⫏≰202100120","layer":3},{"info":"⫏≰2222121⊴⫏≰1120222=NaN","layer":3},{"info":"⫏≰202100120/NaN=NaN","layer":2},{"info":"⫏≰11020100⫸⊐⫏≰10112002=⫏≰111220200","layer":3},{"info":"⫏≰2001202∼⫏≰10202112=NaN","layer":3},{"info":"⫏≰111220200%NaN=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":555,"expression_no_base_symbol":"((⊥$1739$)↺($1881$⫡⨏$4200$)⫡⨏(↽≂($2818$⩨$2403$)))⋝⋈⪟(≉(↣≠⋷($1543$⫥∨⫟$5813$)))","expression":"((⊥⫏≰2101102)↺(⫏≰2120200⫡⨏⫏≰12202120)⫡⨏(↽≂(⫏≰10212101⩨⫏≰10022000)))⋝⋈⪟(≉(↣≠⋷(⫏≰2010011⫥∨⫟⫏≰21222022)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":185,"operation_count":10,"complexity_ratio":18.5,"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":1739,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1881,"base":3},"right_expr":{"type":"numeric_atoms","value":4200,"base":3}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2818,"base":3},"right_expr":{"type":"numeric_atoms","value":2403,"base":3}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1543,"base":3},"right_expr":{"type":"numeric_atoms","value":5813,"base":3}}}}},"used_operators":["2DDjHMKMc0","QMFrweE19q","7j4O788W3g","Q3PJZHRvZv","u6S6b8DprG","2DlMacCsIx","e1ybzncUwg","Asc51vEJeQ","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1739","layer":4},{"info":"compute unary expreesion, input=1739, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1881","layer":4},{"info":"number node, value=4200","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=4200, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18588","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18588, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=18588","layer":2},{"info":"number node, value=2818","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=2818, right_input=2403, 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 binary expreesion, left_input=18588, 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=93723","layer":1},{"info":"number node, value=1543","layer":4},{"info":"number node, value=5813","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=5813, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"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=93723, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊥⫏≰2101102)↺(⫏≰2120200⫡⨏⫏≰12202120)⫡⨏(↽≂(⫏≰10212101⩨⫏≰10022000)))⋝⋈⪟(≉(↣≠⋷(⫏≰2010011⫥∨⫟⫏≰21222022)))=NaN","reverse_text":"NaN=((⊥⫏≰2101102)↺(⫏≰2120200⫡⨏⫏≰12202120)⫡⨏(↽≂(⫏≰10212101⩨⫏≰10022000)))⋝⋈⪟(≉(↣≠⋷(⫏≰2010011⫥∨⫟⫏≰21222022)))","cot":[{"info":"⊥⫏≰2101102=NaN","layer":3},{"info":"⫏≰2120200⫡⨏⫏≰12202120=⫏≰221111110","layer":3},{"info":"NaN↺⫏≰221111110=⫏≰221111110","layer":2},{"info":"⫏≰10212101⩨⫏≰10022000=⫏≰0","layer":3},{"info":"↽≂⫏≰0=⫏≰0","layer":2},{"info":"⫏≰221111110⫡⨏⫏≰0=⫏≰11202120020","layer":1},{"info":"⫏≰2010011⫥∨⫟⫏≰21222022=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⫏≰11202120020⋝⋈⪟NaN=NaN","layer":0}]}
{"id":556,"expression_no_base_symbol":"($1006$⪮%⊝$5487$⩚⊴⇥($4708$⋳⪒$3033$))⪛((↯⪼$6000$)∲⫓$1273$⩨$3142$)↺(($1626$⩷∴$2715$)⪢($2986$⇼⇔∾$1087$)/($2734$↙$1649$)⋳⪒($3295$⫌⩹⨱))","expression":"(⫏≰1101021⪮%⊝⫏≰21112020⩚⊴⇥(⫏≰20110101⋳⪒⫏≰11011100))⪛((↯⪼⫏≰22020020)∲⫓⫏≰1202011⩨⫏≰11022101)↺((⫏≰2020020⩷∴⫏≰10201120)⪢(⫏≰11002121⇼⇔∾⫏≰1111021)/(⫏≰10202021↙⫏≰2021002)⋳⪒(⫏≰11112001⫌⩹⨱))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4197,"operation_count":15,"complexity_ratio":279.8,"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":1006,"base":3},"right_expr":{"type":"numeric_atoms","value":5487,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4708,"base":3},"right_expr":{"type":"numeric_atoms","value":3033,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6000,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1273,"base":3},"right_expr":{"type":"numeric_atoms","value":3142,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1626,"base":3},"right_expr":{"type":"numeric_atoms","value":2715,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2986,"base":3},"right_expr":{"type":"numeric_atoms","value":1087,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2734,"base":3},"right_expr":{"type":"numeric_atoms","value":1649,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3295,"base":3}}}}},"used_operators":["7j4O788W3g","uFcxV4UQCh","NTOWxs364D","IWmyXbctLI","12rbrZMWeM","i8ToyICDmI","8jW3W4yZS5","2DlMacCsIx","XhwjNDsVaA","dWAJyo7jo9","9FxExcQeMw","tifHPKVTfV","yyfyN0ffXY","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"number node, value=5487","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=5487, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2328","layer":3},{"info":"number node, value=4708","layer":4},{"info":"number node, value=3033","layer":4},{"info":"compute binary expreesion, left_input=4708, right_input=3033, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6096","layer":3},{"info":"compute binary expreesion, left_input=2328, right_input=6096, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8545","layer":2},{"info":"number node, value=6000","layer":4},{"info":"compute unary expreesion, input=6000, 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=1273","layer":4},{"info":"number node, value=3142","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=3142, 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=-21, right_input=-6, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=-8545, right_input=-21, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-19","layer":1},{"info":"number node, value=1626","layer":4},{"info":"number node, value=2715","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=2715, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2210","layer":3},{"info":"number node, value=2986","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=1087, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1899","layer":3},{"info":"compute binary expreesion, left_input=-2210, right_input=-1899, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2734","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=2734, right_input=1649, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4947","layer":3},{"info":"number node, value=3295","layer":4},{"info":"compute unary expreesion, input=3295, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7991","layer":3},{"info":"compute binary expreesion, left_input=-4947, right_input=7991, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-18172","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-18172, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-19, 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":3,"result_base":3,"text":"(⫏≰1101021⪮%⊝⫏≰21112020⩚⊴⇥(⫏≰20110101⋳⪒⫏≰11011100))⪛((↯⪼⫏≰22020020)∲⫓⫏≰1202011⩨⫏≰11022101)↺((⫏≰2020020⩷∴⫏≰10201120)⪢(⫏≰11002121⇼⇔∾⫏≰1111021)/(⫏≰10202021↙⫏≰2021002)⋳⪒(⫏≰11112001⫌⩹⨱))=NaN","reverse_text":"NaN=(⫏≰1101021⪮%⊝⫏≰21112020⩚⊴⇥(⫏≰20110101⋳⪒⫏≰11011100))⪛((↯⪼⫏≰22020020)∲⫓⫏≰1202011⩨⫏≰11022101)↺((⫏≰2020020⩷∴⫏≰10201120)⪢(⫏≰11002121⇼⇔∾⫏≰1111021)/(⫏≰10202021↙⫏≰2021002)⋳⪒(⫏≰11112001⫌⩹⨱))","cot":[{"info":"⫏≰1101021⪮%⊝⫏≰21112020=⫏≰10012020","layer":3},{"info":"⫏≰20110101⋳⪒⫏≰11011100=⫏≰22100210","layer":3},{"info":"⫏≰10012020⩚⊴⇥⫏≰22100210=⫏≰-102201111","layer":2},{"info":"↯⪼⫏≰22020020=⫏≰-210","layer":3},{"info":"⫏≰1202011⩨⫏≰11022101=⫏≰-20","layer":3},{"info":"⫏≰-210∲⫓⫏≰-20=⫏≰-210","layer":2},{"info":"⫏≰-102201111⪛⫏≰-210=⫏≰-201","layer":1},{"info":"⫏≰2020020⩷∴⫏≰10201120=⫏≰-10000212","layer":3},{"info":"⫏≰11002121⇼⇔∾⫏≰1111021=⫏≰-2121100","layer":3},{"info":"⫏≰-10000212⪢⫏≰-2121100=NaN","layer":2},{"info":"⫏≰10202021↙⫏≰2021002=⫏≰-20210020","layer":3},{"info":"⫏≰11112001⫌⩹⨱=⫏≰101221222","layer":3},{"info":"⫏≰-20210020⋳⪒⫏≰101221222=⫏≰-220221001","layer":2},{"info":"NaN/⫏≰-220221001=NaN","layer":1},{"info":"⫏≰-201↺NaN=NaN","layer":0}]}
{"id":557,"expression_no_base_symbol":"((≤/$1821$)+$2939$≭$3193$)⩨$1519$⪢$5117$⪛(↥$1263$)⩨($1708$⪛$1075$⋝⋈⪟($2356$≭$5816$)⪨≂$6139$⪄$4117$⊉≛↸($1528$⊭↱$2720$))","expression":"((≤/⫏≰2111110)+⫏≰11000212≭⫏≰11101021)⩨⫏≰2002021⪢⫏≰21000112⪛(↥⫏≰1201210)⩨(⫏≰2100021⪛⫏≰1110211⋝⋈⪟(⫏≰10020021≭⫏≰21222102)⪨≂⫏≰22102101⪄⫏≰12122111⊉≛↸(⫏≰2002121⊭↱⫏≰10201202))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5274,"operation_count":15,"complexity_ratio":351.6,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1821,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2939,"base":3},"right_expr":{"type":"numeric_atoms","value":3193,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1519,"base":3},"right_expr":{"type":"numeric_atoms","value":5117,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1263,"base":3}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1708,"base":3},"right_expr":{"type":"numeric_atoms","value":1075,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2356,"base":3},"right_expr":{"type":"numeric_atoms","value":5816,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6139,"base":3},"right_expr":{"type":"numeric_atoms","value":4117,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1528,"base":3},"right_expr":{"type":"numeric_atoms","value":2720,"base":3}}}}},"used_operators":["2DlMacCsIx","W4YGzv6Whe","eLAdDNolq6","rxpJgHHUmx","uFcxV4UQCh","dWAJyo7jo9","A8NUZmVepG","sdazOOVcIp","2DDjHMKMc0","DZ8iAZOCBD","SUmda5xLS4","COABgblf1C"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1821","layer":4},{"info":"compute unary expreesion, input=1821, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1337","layer":3},{"info":"number node, value=2939","layer":4},{"info":"number node, value=3193","layer":4},{"info":"compute binary expreesion, left_input=2939, right_input=3193, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-1337, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1519","layer":4},{"info":"number node, value=5117","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=5117, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=39","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=39, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1708","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=1075, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=633","layer":3},{"info":"number node, value=2356","layer":4},{"info":"number node, value=5816","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=5816, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=633, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=6139","layer":4},{"info":"number node, value=4117","layer":4},{"info":"compute binary expreesion, left_input=6139, right_input=4117, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-921129","layer":3},{"info":"number node, value=1528","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=2720, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2389","layer":3},{"info":"compute binary expreesion, left_input=-921129, right_input=2389, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2389","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2389, op_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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((≤/⫏≰2111110)+⫏≰11000212≭⫏≰11101021)⩨⫏≰2002021⪢⫏≰21000112⪛(↥⫏≰1201210)⩨(⫏≰2100021⪛⫏≰1110211⋝⋈⪟(⫏≰10020021≭⫏≰21222102)⪨≂⫏≰22102101⪄⫏≰12122111⊉≛↸(⫏≰2002121⊭↱⫏≰10201202))=NaN","reverse_text":"NaN=((≤/⫏≰2111110)+⫏≰11000212≭⫏≰11101021)⩨⫏≰2002021⪢⫏≰21000112⪛(↥⫏≰1201210)⩨(⫏≰2100021⪛⫏≰1110211⋝⋈⪟(⫏≰10020021≭⫏≰21222102)⪨≂⫏≰22102101⪄⫏≰12122111⊉≛↸(⫏≰2002121⊭↱⫏≰10201202))","cot":[{"info":"≤/⫏≰2111110=⫏≰-1211112","layer":3},{"info":"⫏≰11000212≭⫏≰11101021=NaN","layer":3},{"info":"⫏≰-1211112+NaN=NaN","layer":2},{"info":"⫏≰2002021⪢⫏≰21000112=NaN","layer":3},{"info":"↥⫏≰1201210=⫏≰1110","layer":3},{"info":"NaN⪛⫏≰1110=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⫏≰2100021⪛⫏≰1110211=⫏≰212110","layer":3},{"info":"⫏≰10020021≭⫏≰21222102=NaN","layer":3},{"info":"⫏≰212110⋝⋈⪟NaN=NaN","layer":2},{"info":"⫏≰22102101⪄⫏≰12122111=⫏≰-1201210112220","layer":3},{"info":"⫏≰2002121⊭↱⫏≰10201202=⫏≰10021111","layer":3},{"info":"⫏≰-1201210112220⊉≛↸⫏≰10021111=⫏≰-10021111","layer":2},{"info":"NaN⪨≂⫏≰-10021111=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":558,"expression_no_base_symbol":"(↥($4769$⨳⩥⨓$1094$))⫸⊐$6265$⨓$5762$∑⇟⊟($2331$⨵⪆$5414$)↛⩡⫤","expression":"(↥(⫏≰20112122⨳⩥⨓⫏≰1111112))⫸⊐⫏≰22121001⨓⫏≰21220102∑⇟⊟(⫏≰10012100⨵⪆⫏≰21102112)↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":34521,"operation_count":7,"complexity_ratio":4931.571428571428,"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":4769,"base":3},"right_expr":{"type":"numeric_atoms","value":1094,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6265,"base":3},"right_expr":{"type":"numeric_atoms","value":5762,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2331,"base":3},"right_expr":{"type":"numeric_atoms","value":5414,"base":3}}}}},"used_operators":["FU0Cs4j7VP","mqXw5SEYmG","A8NUZmVepG","nCS4ZIUYfx","U7g4x0WXJJ","3ViojmjbAp","2DQ55sFlQl"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-112112001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4769","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=4769, right_input=1094, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3675","layer":3},{"info":"compute unary expreesion, input=-3675, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":2},{"info":"number node, value=6265","layer":4},{"info":"number node, value=5762","layer":4},{"info":"compute binary expreesion, left_input=6265, right_input=5762, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5765","layer":3},{"info":"number node, value=2331","layer":4},{"info":"number node, value=5414","layer":4},{"info":"compute binary expreesion, left_input=2331, right_input=5414, 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=-5765, 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=48, 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=96","layer":1},{"info":"compute unary expreesion, input=96, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-10585","layer":0}],"base":3,"result_base":3,"text":"(↥(⫏≰20112122⨳⩥⨓⫏≰1111112))⫸⊐⫏≰22121001⨓⫏≰21220102∑⇟⊟(⫏≰10012100⨵⪆⫏≰21102112)↛⩡⫤=⫏≰-112112001","reverse_text":"⫏≰-112112001=(↥(⫏≰20112122⨳⩥⨓⫏≰1111112))⫸⊐⫏≰22121001⨓⫏≰21220102∑⇟⊟(⫏≰10012100⨵⪆⫏≰21102112)↛⩡⫤","cot":[{"info":"⫏≰20112122⨳⩥⨓⫏≰1111112=⫏≰-12001010","layer":3},{"info":"↥⫏≰-12001010=⫏≰1210","layer":2},{"info":"⫏≰22121001⨓⫏≰21220102=⫏≰-21220112","layer":3},{"info":"⫏≰10012100⨵⪆⫏≰21102112=⫏≰12221","layer":3},{"info":"⫏≰-21220112∑⇟⊟⫏≰12221=NaN","layer":2},{"info":"⫏≰1210⫸⊐NaN=⫏≰10120","layer":1},{"info":"⫏≰10120↛⩡⫤=⫏≰-112112001","layer":0}]}
{"id":559,"expression_no_base_symbol":"⋗⩬⋾((↔$1959$)⋷($1251$⊪))⫥∨⫟(($2089$⩠)⨸⪁(⨈⫕$3521$))","expression":"⋗⩬⋾((↔⫏≰2200120)⋷(⫏≰1201100⊪))⫥∨⫟((⫏≰2212101⩠)⨸⪁(⨈⫕⫏≰11211102))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":606,"operation_count":8,"complexity_ratio":75.75,"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":1959,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1251,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2089,"base":3}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3521,"base":3}}}}},"used_operators":["DpFCA1CohY","KYD54nUTWz","23Mk6UjR3U","ruOEQAzv1W","zVYPLywUTj","g55IO6H4Gj","sJAwomhLZr","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1959","layer":4},{"info":"compute unary expreesion, input=1959, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1686","layer":3},{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, 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=-1686, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3372","layer":2},{"info":"number node, value=2089","layer":4},{"info":"compute unary expreesion, input=2089, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=3521","layer":4},{"info":"compute unary expreesion, input=3521, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-42","layer":2},{"info":"compute binary expreesion, left_input=3372, right_input=-42, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⋗⩬⋾((↔⫏≰2200120)⋷(⫏≰1201100⊪))⫥∨⫟((⫏≰2212101⩠)⨸⪁(⨈⫕⫏≰11211102))=NaN","reverse_text":"NaN=⋗⩬⋾((↔⫏≰2200120)⋷(⫏≰1201100⊪))⫥∨⫟((⫏≰2212101⩠)⨸⪁(⨈⫕⫏≰11211102))","cot":[{"info":"↔⫏≰2200120=⫏≰-2022110","layer":3},{"info":"⫏≰1201100⊪=⫏≰0","layer":3},{"info":"⫏≰-2022110⋷⫏≰0=⫏≰11121220","layer":2},{"info":"⫏≰2212101⩠=⫏≰0","layer":3},{"info":"⨈⫕⫏≰11211102=⫏≰-210","layer":3},{"info":"⫏≰0⨸⪁⫏≰-210=⫏≰-1120","layer":2},{"info":"⫏≰11121220⫥∨⫟⫏≰-1120=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":560,"expression_no_base_symbol":"((∂$3867$)⇼⇔∾($1246$⪐))⫸⊐(⪝⪂⫅($3012$≎⊠⪸$4063$))%($2898$⨓$1547$⨵⪆$1409$⪮%⊝$6010$)∀⇚≩(⪝⪂⫅($2177$+⇶⊼$2847$))","expression":"((∂⫏≰12022020)⇼⇔∾(⫏≰1201011⪐))⫸⊐(⪝⪂⫅(⫏≰11010120≎⊠⪸⫏≰12120111))%(⫏≰10222100⨓⫏≰2010022⨵⪆⫏≰1221012⪮%⊝⫏≰22020121)∀⇚≩(⪝⪂⫅(⫏≰2222122+⇶⊼⫏≰10220110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3118,"operation_count":13,"complexity_ratio":239.84615384615384,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3867,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1246,"base":3}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3012,"base":3},"right_expr":{"type":"numeric_atoms","value":4063,"base":3}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2898,"base":3},"right_expr":{"type":"numeric_atoms","value":1547,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1409,"base":3},"right_expr":{"type":"numeric_atoms","value":6010,"base":3}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2177,"base":3},"right_expr":{"type":"numeric_atoms","value":2847,"base":3}}}}},"used_operators":["k8jYdgA6NY","mqXw5SEYmG","tifHPKVTfV","Uaa54Peajs","eH2TOUuTDT","XTarYq4gQB","bJkvcejdHO","LRNGc0VcxI","2DQ55sFlQl","3ViojmjbAp","IWmyXbctLI","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3867","layer":4},{"info":"compute unary expreesion, input=3867, 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=1246","layer":4},{"info":"compute unary expreesion, input=1246, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2492","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2492, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=3012","layer":4},{"info":"number node, value=4063","layer":4},{"info":"compute binary expreesion, left_input=3012, right_input=4063, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=779635","layer":3},{"info":"compute unary expreesion, input=779635, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-114606345","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-114606345, 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=2898","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=2898, right_input=1547, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1550","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=6010","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=6010, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3134","layer":3},{"info":"compute binary expreesion, left_input=-1550, right_input=3134, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2177","layer":4},{"info":"number node, value=2847","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=2847, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((∂⫏≰12022020)⇼⇔∾(⫏≰1201011⪐))⫸⊐(⪝⪂⫅(⫏≰11010120≎⊠⪸⫏≰12120111))%(⫏≰10222100⨓⫏≰2010022⨵⪆⫏≰1221012⪮%⊝⫏≰22020121)∀⇚≩(⪝⪂⫅(⫏≰2222122+⇶⊼⫏≰10220110))=NaN","reverse_text":"NaN=((∂⫏≰12022020)⇼⇔∾(⫏≰1201011⪐))⫸⊐(⪝⪂⫅(⫏≰11010120≎⊠⪸⫏≰12120111))%(⫏≰10222100⨓⫏≰2010022⨵⪆⫏≰1221012⪮%⊝⫏≰22020121)∀⇚≩(⪝⪂⫅(⫏≰2222122+⇶⊼⫏≰10220110))","cot":[{"info":"∂⫏≰12022020=NaN","layer":3},{"info":"⫏≰1201011⪐=⫏≰10102022","layer":3},{"info":"NaN⇼⇔∾⫏≰10102022=NaN","layer":2},{"info":"⫏≰11010120≎⊠⪸⫏≰12120111=⫏≰1110121110101","layer":3},{"info":"⪝⪂⫅⫏≰1110121110101=⫏≰-21222122121100110","layer":2},{"info":"NaN⫸⊐⫏≰-21222122121100110=NaN","layer":1},{"info":"⫏≰10222100⨓⫏≰2010022=⫏≰-2010102","layer":3},{"info":"⫏≰1221012⪮%⊝⫏≰22020121=⫏≰11022002","layer":3},{"info":"⫏≰-2010102⨵⪆⫏≰11022002=⫏≰12221","layer":2},{"info":"⫏≰2222122+⇶⊼⫏≰10220110=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⫏≰12221∀⇚≩NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":561,"expression_no_base_symbol":"(⩦⩻⨪(⇁⨣⪵(⫓⪴$2024$)))⫡⨏((∂$2000$)⪄(+⊝⨔$3318$))∑⇟⊟($1460$⨰$2853$)∼($2641$⪄$2193$)","expression":"(⩦⩻⨪(⇁⨣⪵(⫓⪴⫏≰2202222)))⫡⨏((∂⫏≰2202002)⪄(+⊝⨔⫏≰11112220))∑⇟⊟(⫏≰2000002⨰⫏≰10220200)∼(⫏≰10121211⪄⫏≰10000020)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2229,"operation_count":11,"complexity_ratio":202.63636363636363,"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":2024,"base":3}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2000,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3318,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1460,"base":3},"right_expr":{"type":"numeric_atoms","value":2853,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2641,"base":3},"right_expr":{"type":"numeric_atoms","value":2193,"base":3}}}}},"used_operators":["QMFrweE19q","2td37pGCOC","inkyxCbjAn","eLxqMNBOBk","U7g4x0WXJJ","SUmda5xLS4","Uaa54Peajs","DhbWaqg5eL","DyGG3AbaNP","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2024","layer":4},{"info":"compute unary expreesion, input=2024, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4096576","layer":3},{"info":"compute unary expreesion, input=4096576, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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=2000","layer":4},{"info":"compute unary expreesion, input=2000, 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=3318","layer":4},{"info":"compute unary expreesion, input=3318, 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":"number node, value=1460","layer":4},{"info":"number node, value=2853","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=2853, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1383","layer":3},{"info":"number node, value=2641","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=2641, right_input=2193, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-395729","layer":3},{"info":"compute binary expreesion, left_input=-1383, right_input=-395729, 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=3979, 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 = 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":3,"result_base":3,"text":"(⩦⩻⨪(⇁⨣⪵(⫓⪴⫏≰2202222)))⫡⨏((∂⫏≰2202002)⪄(+⊝⨔⫏≰11112220))∑⇟⊟(⫏≰2000002⨰⫏≰10220200)∼(⫏≰10121211⪄⫏≰10000020)=NaN","reverse_text":"NaN=(⩦⩻⨪(⇁⨣⪵(⫓⪴⫏≰2202222)))⫡⨏((∂⫏≰2202002)⪄(+⊝⨔⫏≰11112220))∑⇟⊟(⫏≰2000002⨰⫏≰10220200)∼(⫏≰10121211⪄⫏≰10000020)","cot":[{"info":"⫓⪴⫏≰2202222=⫏≰21201010110001","layer":3},{"info":"⇁⨣⪵⫏≰21201010110001=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"∂⫏≰2202002=NaN","layer":3},{"info":"+⊝⨔⫏≰11112220=⫏≰2002101","layer":3},{"info":"NaN⪄⫏≰2002101=⫏≰12110101","layer":2},{"info":"⫏≰2000002⨰⫏≰10220200=⫏≰-1220020","layer":3},{"info":"⫏≰10121211⪄⫏≰10000020=⫏≰-202002211122","layer":3},{"info":"⫏≰-1220020∼⫏≰-202002211122=NaN","layer":2},{"info":"⫏≰12110101∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":562,"expression_no_base_symbol":"(↔($2407$∀⇚≩$2869$))↬($4146$⇼⇔∾$3026$)⪛(⨵≀≌$5392$)⫡⨏($3704$⩷∴$3370$)∼$1863$≹⇙⪍$3104$≎⊠⪸($2218$⨎$1580$⨳⩥⨓(⨞⊢$1181$))","expression":"(↔(⫏≰10022011∀⇚≩⫏≰10221021))↬(⫏≰12200120⇼⇔∾⫏≰11011002)⪛(⨵≀≌⫏≰21101201)⫡⨏(⫏≰12002012⩷∴⫏≰11121211)∼⫏≰2120000≹⇙⪍⫏≰11020222≎⊠⪸(⫏≰10001011⨎⫏≰2011112⨳⩥⨓(⨞⊢⫏≰1121202))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":16926,"operation_count":14,"complexity_ratio":1209.0,"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":2407,"base":3},"right_expr":{"type":"numeric_atoms","value":2869,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4146,"base":3},"right_expr":{"type":"numeric_atoms","value":3026,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5392,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3704,"base":3},"right_expr":{"type":"numeric_atoms","value":3370,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1863,"base":3},"right_expr":{"type":"numeric_atoms","value":3104,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2218,"base":3},"right_expr":{"type":"numeric_atoms","value":1580,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1181,"base":3}}}}},"used_operators":["QMFrweE19q","B5M0gjZbta","ruOEQAzv1W","LRNGc0VcxI","uFcxV4UQCh","tifHPKVTfV","srAu1WTS94","bJkvcejdHO","DyGG3AbaNP","9FxExcQeMw","AHs5Up7iyr","nCS4ZIUYfx","rJVOvQCfKK","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2407","layer":4},{"info":"number node, value=2869","layer":4},{"info":"compute binary expreesion, left_input=2407, right_input=2869, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=4146","layer":4},{"info":"number node, value=3026","layer":4},{"info":"compute binary expreesion, left_input=4146, right_input=3026, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1120","layer":3},{"info":"number node, value=5392","layer":4},{"info":"compute unary expreesion, input=5392, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-16176","layer":3},{"info":"compute binary expreesion, left_input=-1120, right_input=-16176, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1120","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-1120, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3704","layer":4},{"info":"number node, value=3370","layer":4},{"info":"compute binary expreesion, left_input=3704, right_input=3370, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=636","layer":3},{"info":"number node, value=1863","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=3104, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=636, 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=2218","layer":4},{"info":"number node, value=1580","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=1580, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1580","layer":3},{"info":"number node, value=1181","layer":4},{"info":"compute unary expreesion, input=1181, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1355","layer":3},{"info":"compute binary expreesion, left_input=1580, right_input=-1355, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2935","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2935, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↔(⫏≰10022011∀⇚≩⫏≰10221021))↬(⫏≰12200120⇼⇔∾⫏≰11011002)⪛(⨵≀≌⫏≰21101201)⫡⨏(⫏≰12002012⩷∴⫏≰11121211)∼⫏≰2120000≹⇙⪍⫏≰11020222≎⊠⪸(⫏≰10001011⨎⫏≰2011112⨳⩥⨓(⨞⊢⫏≰1121202))=NaN","reverse_text":"NaN=(↔(⫏≰10022011∀⇚≩⫏≰10221021))↬(⫏≰12200120⇼⇔∾⫏≰11011002)⪛(⨵≀≌⫏≰21101201)⫡⨏(⫏≰12002012⩷∴⫏≰11121211)∼⫏≰2120000≹⇙⪍⫏≰11020222≎⊠⪸(⫏≰10001011⨎⫏≰2011112⨳⩥⨓(⨞⊢⫏≰1121202))","cot":[{"info":"⫏≰10022011∀⇚≩⫏≰10221021=NaN","layer":3},{"info":"↔NaN=⫏≰-11222","layer":2},{"info":"⫏≰12200120⇼⇔∾⫏≰11011002=⫏≰-1112111","layer":3},{"info":"⨵≀≌⫏≰21101201=⫏≰-211012010","layer":3},{"info":"⫏≰-1112111⪛⫏≰-211012010=⫏≰-1112111","layer":2},{"info":"⫏≰-11222↬⫏≰-1112111=NaN","layer":1},{"info":"⫏≰12002012⩷∴⫏≰11121211=⫏≰212120","layer":3},{"info":"⫏≰2120000≹⇙⪍⫏≰11020222=NaN","layer":3},{"info":"⫏≰212120∼NaN=NaN","layer":2},{"info":"⫏≰10001011⨎⫏≰2011112=⫏≰2011112","layer":3},{"info":"⨞⊢⫏≰1121202=⫏≰-1212012","layer":3},{"info":"⫏≰2011112⨳⩥⨓⫏≰-1212012=⫏≰-11000201","layer":2},{"info":"NaN≎⊠⪸⫏≰-11000201=⫏≰2111","layer":1},{"info":"NaN⫡⨏⫏≰2111=NaN","layer":0}]}
{"id":563,"expression_no_base_symbol":"⋗⩬⋾((⊥($8947$↺$1946$))⫡⨏(↩$1219$⨐⩸⫘$3010$))","expression":"⋗⩬⋾((⊥(⫏≰110021101↺⫏≰2200002))⫡⨏(↩⫏≰1200011⨐⩸⫘⫏≰11010111))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":33,"operation_count":6,"complexity_ratio":5.5,"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":8947,"base":3},"right_expr":{"type":"numeric_atoms","value":1946,"base":3}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1219,"base":3},"right_expr":{"type":"numeric_atoms","value":3010,"base":3}}}}},"used_operators":["DpFCA1CohY","QMFrweE19q","Q3PJZHRvZv","7j4O788W3g","jLgFTUHLKL","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=8947","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=8947, right_input=1946, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1946","layer":3},{"info":"compute unary expreesion, input=1946, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1219","layer":4},{"info":"number node, value=3010","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=3010, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⋗⩬⋾((⊥(⫏≰110021101↺⫏≰2200002))⫡⨏(↩⫏≰1200011⨐⩸⫘⫏≰11010111))=NaN","reverse_text":"NaN=⋗⩬⋾((⊥(⫏≰110021101↺⫏≰2200002))⫡⨏(↩⫏≰1200011⨐⩸⫘⫏≰11010111))","cot":[{"info":"⫏≰110021101↺⫏≰2200002=⫏≰2200002","layer":3},{"info":"⊥⫏≰2200002=NaN","layer":2},{"info":"⫏≰1200011⨐⩸⫘⫏≰11010111=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":564,"expression_no_base_symbol":"⨵≀≌((⫓⪴$2470$)≋⫹)⨎($2544$⪘⫢$4393$⨽$2139$⨟⋌⩍$1029$)","expression":"⨵≀≌((⫓⪴⫏≰10101111)≋⫹)⨎(⫏≰10111020⪘⫢⫏≰20000201⨽⫏≰2221020⨟⋌⩍⫏≰1102010)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7466,"operation_count":7,"complexity_ratio":1066.5714285714287,"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":2470,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2544,"base":3},"right_expr":{"type":"numeric_atoms","value":4393,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2139,"base":3},"right_expr":{"type":"numeric_atoms","value":1029,"base":3}}}}},"used_operators":["srAu1WTS94","rJVOvQCfKK","N41Kp7NANJ","eLxqMNBOBk","8HhzD0ZcuI","oacrs7FA3X","rGHVDoGpnC"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2470","layer":4},{"info":"compute unary expreesion, input=2470, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6100900","layer":3},{"info":"compute unary expreesion, input=6100900, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12201800","layer":2},{"info":"number node, value=2544","layer":4},{"info":"number node, value=4393","layer":4},{"info":"compute binary expreesion, left_input=2544, right_input=4393, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4964","layer":3},{"info":"number node, value=2139","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=2139, 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=4964, 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=-12201800, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨵≀≌((⫓⪴⫏≰10101111)≋⫹)⨎(⫏≰10111020⪘⫢⫏≰20000201⨽⫏≰2221020⨟⋌⩍⫏≰1102010)=NaN","reverse_text":"NaN=⨵≀≌((⫓⪴⫏≰10101111)≋⫹)⨎(⫏≰10111020⪘⫢⫏≰20000201⨽⫏≰2221020⨟⋌⩍⫏≰1102010)","cot":[{"info":"⫓⪴⫏≰10101111=⫏≰102110221212021","layer":3},{"info":"⫏≰102110221212021≋⫹=⫏≰-211221220201112","layer":2},{"info":"⫏≰10111020⪘⫢⫏≰20000201=⫏≰20210212","layer":3},{"info":"⫏≰2221020⨟⋌⩍⫏≰1102010=NaN","layer":3},{"info":"⫏≰20210212⨽NaN=NaN","layer":2},{"info":"⫏≰-211221220201112⨎NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":565,"expression_no_base_symbol":"≦∁(⨰⫟⨤(≤/($2076$⇋≉)))","expression":"≦∁(⨰⫟⨤(≤/(⫏≰2211220⇋≉)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":15177,"operation_count":4,"complexity_ratio":3794.25,"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":2076,"base":3}}}}},"used_operators":["9ICcGScMcE","Tw270M8GLb","eLAdDNolq6","XIabStNQrY"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2076","layer":4},{"info":"compute unary expreesion, input=2076, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4054","layer":3},{"info":"compute unary expreesion, input=4054, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3570","layer":2},{"info":"compute unary expreesion, input=-3570, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"≦∁(⨰⫟⨤(≤/(⫏≰2211220⇋≉)))=NaN","reverse_text":"NaN=≦∁(⨰⫟⨤(≤/(⫏≰2211220⇋≉)))","cot":[{"info":"⫏≰2211220⇋≉=⫏≰12120011","layer":3},{"info":"≤/⫏≰12120011=⫏≰-11220020","layer":2},{"info":"⨰⫟⨤⫏≰-11220020=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"⊄⩳↩(⨞⊢$1025$⨟⋌⩍$3547$⫥∨⫟$3524$≧⫂∧$5690$)","expression":"⊄⩳↩(⨞⊢⫏≰1101222⨟⋌⩍⫏≰11212101⫥∨⫟⫏≰11211112≧⫂∧⫏≰21210202)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":161,"operation_count":5,"complexity_ratio":32.2,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1025,"base":3},"right_expr":{"type":"numeric_atoms","value":3547,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3524,"base":3},"right_expr":{"type":"numeric_atoms","value":5690,"base":3}}}}},"used_operators":["8w2t5hMYqp","xUOZtlo3hN","KYD54nUTWz","rGHVDoGpnC","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1025","layer":4},{"info":"number node, value=3547","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=3547, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=3524","layer":4},{"info":"number node, value=5690","layer":4},{"info":"compute binary expreesion, left_input=3524, right_input=5690, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5217","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5217, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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 unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊄⩳↩(⨞⊢⫏≰1101222⨟⋌⩍⫏≰11212101⫥∨⫟⫏≰11211112≧⫂∧⫏≰21210202)=NaN","reverse_text":"NaN=⊄⩳↩(⨞⊢⫏≰1101222⨟⋌⩍⫏≰11212101⫥∨⫟⫏≰11211112≧⫂∧⫏≰21210202)","cot":[{"info":"⫏≰1101222⨟⋌⩍⫏≰11212101=NaN","layer":3},{"info":"⫏≰11211112≧⫂∧⫏≰21210202=⫏≰21011020","layer":3},{"info":"NaN⫥∨⫟⫏≰21011020=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":567,"expression_no_base_symbol":"((($4120$⫩⊇)⋷(⋗⩬⋾$1145$))⨽((⨰⫟⨤$3212$)↺($3497$⊘)))⩚⊴⇥(($1815$≭$1288$⫸⊐($2136$/$1231$))⩚⊴⇥(($5927$≫≃)⩨$2028$⨟⋌⩍$3831$))","expression":"(((⫏≰12122121⫩⊇)⋷(⋗⩬⋾⫏≰1120102))⨽((⨰⫟⨤⫏≰11101222)↺(⫏≰11210112⊘)))⩚⊴⇥((⫏≰2111020≭⫏≰1202201⫸⊐(⫏≰2221010/⫏≰1200121))⩚⊴⇥((⫏≰22010112≫≃)⩨⫏≰2210010⨟⋌⩍⫏≰12020220))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20225,"operation_count":15,"complexity_ratio":1348.3333333333333,"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":4120,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1145,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3212,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3497,"base":3}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1815,"base":3},"right_expr":{"type":"numeric_atoms","value":1288,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2136,"base":3},"right_expr":{"type":"numeric_atoms","value":1231,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5927,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2028,"base":3},"right_expr":{"type":"numeric_atoms","value":3831,"base":3}}}}},"used_operators":["NTOWxs364D","8HhzD0ZcuI","23Mk6UjR3U","BjRHVeLaeN","DpFCA1CohY","7j4O788W3g","Tw270M8GLb","gu96TGCTMs","mqXw5SEYmG","rxpJgHHUmx","XhwjNDsVaA","2DlMacCsIx","X99M06cbEe","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4120","layer":4},{"info":"compute unary expreesion, input=4120, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4078","layer":3},{"info":"number node, value=1145","layer":4},{"info":"compute unary expreesion, input=1145, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3435","layer":3},{"info":"compute binary expreesion, left_input=-4078, right_input=-3435, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8156","layer":2},{"info":"number node, value=3212","layer":4},{"info":"compute unary expreesion, input=3212, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3497","layer":4},{"info":"compute unary expreesion, input=3497, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=8156, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-199559694","layer":1},{"info":"number node, value=1815","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=1288, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2136","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=2136, right_input=1231, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, 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=5927","layer":4},{"info":"compute unary expreesion, input=5927, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13255","layer":3},{"info":"number node, value=2028","layer":4},{"info":"number node, value=3831","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=3831, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=13255, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-199559694, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰12122121⫩⊇)⋷(⋗⩬⋾⫏≰1120102))⨽((⨰⫟⨤⫏≰11101222)↺(⫏≰11210112⊘)))⩚⊴⇥((⫏≰2111020≭⫏≰1202201⫸⊐(⫏≰2221010/⫏≰1200121))⩚⊴⇥((⫏≰22010112≫≃)⩨⫏≰2210010⨟⋌⩍⫏≰12020220))=NaN","reverse_text":"NaN=(((⫏≰12122121⫩⊇)⋷(⋗⩬⋾⫏≰1120102))⨽((⨰⫟⨤⫏≰11101222)↺(⫏≰11210112⊘)))⩚⊴⇥((⫏≰2111020≭⫏≰1202201⫸⊐(⫏≰2221010/⫏≰1200121))⩚⊴⇥((⫏≰22010112≫≃)⩨⫏≰2210010⨟⋌⩍⫏≰12020220))","cot":[{"info":"⫏≰12122121⫩⊇=⫏≰-12121001","layer":3},{"info":"⋗⩬⋾⫏≰1120102=⫏≰-11201020","layer":3},{"info":"⫏≰-12121001⋷⫏≰-11201020=⫏≰102012002","layer":2},{"info":"⨰⫟⨤⫏≰11101222=NaN","layer":3},{"info":"⫏≰11210112⊘=⫏≰0","layer":3},{"info":"NaN↺⫏≰0=⫏≰0","layer":2},{"info":"⫏≰102012002⨽⫏≰0=⫏≰-111220111200102210","layer":1},{"info":"⫏≰2111020≭⫏≰1202201=NaN","layer":3},{"info":"⫏≰2221010/⫏≰1200121=⫏≰1","layer":3},{"info":"NaN⫸⊐⫏≰1=NaN","layer":2},{"info":"⫏≰22010112≫≃=⫏≰200011221","layer":3},{"info":"⫏≰2210010⨟⋌⩍⫏≰12020220=NaN","layer":3},{"info":"⫏≰200011221⩨NaN=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⫏≰-111220111200102210⩚⊴⇥NaN=NaN","layer":0}]}
{"id":568,"expression_no_base_symbol":"((↯⪼$4221$)⩷∴$1263$∀⇚≩$1788$⊦⊿)⪛((⨈⫕($3234$≫≃))≎⊠⪸($1931$↙$1920$⫡⨏$4201$⨟⋌⩍$1312$))","expression":"((↯⪼⫏≰12210100)⩷∴⫏≰1201210∀⇚≩⫏≰2110020⊦⊿)⪛((⨈⫕(⫏≰11102210≫≃))≎⊠⪸(⫏≰2122112↙⫏≰2122010⫡⨏⫏≰12202121⨟⋌⩍⫏≰1210121))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11223,"operation_count":11,"complexity_ratio":1020.2727272727273,"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":4221,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1263,"base":3},"right_expr":{"type":"numeric_atoms","value":1788,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3234,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1931,"base":3},"right_expr":{"type":"numeric_atoms","value":1920,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4201,"base":3},"right_expr":{"type":"numeric_atoms","value":1312,"base":3}}}}},"used_operators":["uFcxV4UQCh","14qkJME0vr","9FxExcQeMw","8jW3W4yZS5","LRNGc0VcxI","bJkvcejdHO","megm06wKyl","X99M06cbEe","QMFrweE19q","yyfyN0ffXY","rGHVDoGpnC"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4221","layer":4},{"info":"compute unary expreesion, input=4221, 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=1263","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=1788, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=3234","layer":4},{"info":"compute unary expreesion, input=3234, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7869","layer":3},{"info":"compute unary expreesion, input=7869, 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=1931","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=1920, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5760","layer":3},{"info":"number node, value=4201","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=4201, right_input=1312, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-5760, 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=-21, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↯⪼⫏≰12210100)⩷∴⫏≰1201210∀⇚≩⫏≰2110020⊦⊿)⪛((⨈⫕(⫏≰11102210≫≃))≎⊠⪸(⫏≰2122112↙⫏≰2122010⫡⨏⫏≰12202121⨟⋌⩍⫏≰1210121))=NaN","reverse_text":"NaN=((↯⪼⫏≰12210100)⩷∴⫏≰1201210∀⇚≩⫏≰2110020⊦⊿)⪛((⨈⫕(⫏≰11102210≫≃))≎⊠⪸(⫏≰2122112↙⫏≰2122010⫡⨏⫏≰12202121⨟⋌⩍⫏≰1210121))","cot":[{"info":"↯⪼⫏≰12210100=⫏≰-210","layer":3},{"info":"⫏≰1201210∀⇚≩⫏≰2110020=NaN","layer":3},{"info":"⫏≰-210⩷∴NaN=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⫏≰11102210≫≃=⫏≰101210110","layer":3},{"info":"⨈⫕⫏≰101210110=⫏≰-210","layer":2},{"info":"⫏≰2122112↙⫏≰2122010=⫏≰-21220100","layer":3},{"info":"⫏≰12202121⨟⋌⩍⫏≰1210121=NaN","layer":3},{"info":"⫏≰-21220100⫡⨏NaN=NaN","layer":2},{"info":"⫏≰-210≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"NaN⪛⫏≰2111=NaN","layer":0}]}
{"id":569,"expression_no_base_symbol":"(($1784$⨽$3069$)⨓($1196$≭$3571$)⫌⩹⨱)⋝⋈⪟(⪝⪂⫅(⫛⫱⨽($1480$≋⫹)))","expression":"((⫏≰2110002⨽⫏≰11012200)⨓(⫏≰1122022≭⫏≰11220021)⫌⩹⨱)⋝⋈⪟(⪝⪂⫅(⫛⫱⨽(⫏≰2000211≋⫹)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3240,"operation_count":8,"complexity_ratio":405.0,"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":1784,"base":3},"right_expr":{"type":"numeric_atoms","value":3069,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1196,"base":3},"right_expr":{"type":"numeric_atoms","value":3571,"base":3}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1480,"base":3}}}}},"used_operators":["2DDjHMKMc0","EBcxylXtPf","3ViojmjbAp","8HhzD0ZcuI","rxpJgHHUmx","XTarYq4gQB","DlLNRPXxWL","N41Kp7NANJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1784","layer":4},{"info":"number node, value=3069","layer":4},{"info":"compute binary expreesion, left_input=1784, right_input=3069, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9555861","layer":3},{"info":"number node, value=1196","layer":4},{"info":"number node, value=3571","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=3571, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-9555861, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"number node, value=1480","layer":4},{"info":"compute unary expreesion, input=1480, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2960","layer":3},{"info":"compute unary expreesion, input=-2960, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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 binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2110002⨽⫏≰11012200)⨓(⫏≰1122022≭⫏≰11220021)⫌⩹⨱)⋝⋈⪟(⪝⪂⫅(⫛⫱⨽(⫏≰2000211≋⫹)))=NaN","reverse_text":"NaN=((⫏≰2110002⨽⫏≰11012200)⨓(⫏≰1122022≭⫏≰11220021)⫌⩹⨱)⋝⋈⪟(⪝⪂⫅(⫛⫱⨽(⫏≰2000211≋⫹)))","cot":[{"info":"⫏≰2110002⨽⫏≰11012200=⫏≰-122222111011210","layer":3},{"info":"⫏≰1122022≭⫏≰11220021=NaN","layer":3},{"info":"⫏≰-122222111011210⨓NaN=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"⫏≰2000211≋⫹=⫏≰-11001122","layer":3},{"info":"⫛⫱⨽⫏≰-11001122=⫏≰0","layer":2},{"info":"⪝⪂⫅⫏≰0=⫏≰0","layer":1},{"info":"NaN⋝⋈⪟⫏≰0=NaN","layer":0}]}
{"id":570,"expression_no_base_symbol":"(≉$5304$↬$4011$⨓$4292$⨪↰⇹$1667$)⨵⪆($6543$⪒$4463$⫡⨏$3610$≧⫂∧$1468$)↺(⨑⩽⪐(⨰⫟⨤$1954$))","expression":"(≉⫏≰21021110↬⫏≰12111120⨓⫏≰12212222⨪↰⇹⫏≰2021202)⨵⪆(⫏≰22222100⪒⫏≰20010022⫡⨏⫏≰11221201≧⫂∧⫏≰2000101)↺(⨑⩽⪐(⨰⫟⨤⫏≰2200101))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15589,"operation_count":11,"complexity_ratio":1417.1818181818182,"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":5304,"base":3},"right_expr":{"type":"numeric_atoms","value":4011,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4292,"base":3},"right_expr":{"type":"numeric_atoms","value":1667,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6543,"base":3},"right_expr":{"type":"numeric_atoms","value":4463,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3610,"base":3},"right_expr":{"type":"numeric_atoms","value":1468,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1954,"base":3}}}}},"used_operators":["2DQ55sFlQl","e1ybzncUwg","3ViojmjbAp","B5M0gjZbta","tmPS8pqC7x","7j4O788W3g","QMFrweE19q","f6k1SAg4EE","Ph9nP6C5qx","AF7qkfDlqP","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5304","layer":4},{"info":"number node, value=4011","layer":4},{"info":"compute binary expreesion, left_input=5304, right_input=4011, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4292","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=4292, right_input=1667, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4292","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4292, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4295","layer":2},{"info":"compute unary expreesion, input=-4295, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-4295","layer":1},{"info":"number node, value=6543","layer":4},{"info":"number node, value=4463","layer":4},{"info":"compute binary expreesion, left_input=6543, right_input=4463, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11006","layer":3},{"info":"number node, value=3610","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=1468, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=995","layer":3},{"info":"compute binary expreesion, left_input=-11006, right_input=995, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-52257","layer":2},{"info":"number node, value=1954","layer":4},{"info":"compute unary expreesion, input=1954, 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=-52257, 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=-4295, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(≉⫏≰21021110↬⫏≰12111120⨓⫏≰12212222⨪↰⇹⫏≰2021202)⨵⪆(⫏≰22222100⪒⫏≰20010022⫡⨏⫏≰11221201≧⫂∧⫏≰2000101)↺(⨑⩽⪐(⨰⫟⨤⫏≰2200101))=⫏≰12221","reverse_text":"⫏≰12221=(≉⫏≰21021110↬⫏≰12111120⨓⫏≰12212222⨪↰⇹⫏≰2021202)⨵⪆(⫏≰22222100⪒⫏≰20010022⫡⨏⫏≰11221201≧⫂∧⫏≰2000101)↺(⨑⩽⪐(⨰⫟⨤⫏≰2200101))","cot":[{"info":"⫏≰21021110↬⫏≰12111120=NaN","layer":3},{"info":"⫏≰12212222⨪↰⇹⫏≰2021202=⫏≰12212222","layer":3},{"info":"NaN⨓⫏≰12212222=⫏≰-12220002","layer":2},{"info":"≉⫏≰-12220002=⫏≰-12220002","layer":1},{"info":"⫏≰22222100⪒⫏≰20010022=⫏≰-120002122","layer":3},{"info":"⫏≰11221201≧⫂∧⫏≰2000101=⫏≰1100212","layer":3},{"info":"⫏≰-120002122⫡⨏⫏≰1100212=⫏≰-2122200110","layer":2},{"info":"⨰⫟⨤⫏≰2200101=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⫏≰-2122200110↺NaN=NaN","layer":1},{"info":"⫏≰-12220002⨵⪆NaN=⫏≰12221","layer":0}]}
{"id":571,"expression_no_base_symbol":"($2877$⨐⩸⫘$1689$⋷(⨈⫕$4772$))↬($4518$≹⇙⪍$4992$↺$1599$⋳⪒$3500$)⫩⊇","expression":"(⫏≰10221120⨐⩸⫘⫏≰2022120⋷(⨈⫕⫏≰20112202))↬(⫏≰20012100≹⇙⪍⫏≰20211220↺⫏≰2012020⋳⪒⫏≰11210122)⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":402,"operation_count":8,"complexity_ratio":50.25,"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":2877,"base":3},"right_expr":{"type":"numeric_atoms","value":1689,"base":3}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4772,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4518,"base":3},"right_expr":{"type":"numeric_atoms","value":4992,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1599,"base":3},"right_expr":{"type":"numeric_atoms","value":3500,"base":3}}}}},"used_operators":["BjRHVeLaeN","B5M0gjZbta","23Mk6UjR3U","fu6greOZ01","megm06wKyl","7j4O788W3g","AHs5Up7iyr","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2877","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=2877, right_input=1689, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4772","layer":4},{"info":"compute unary expreesion, input=4772, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=4518","layer":4},{"info":"number node, value=4992","layer":4},{"info":"compute binary expreesion, left_input=4518, right_input=4992, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1599","layer":4},{"info":"number node, value=3500","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=3500, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-589","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-589, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-589","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-589, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10221120⨐⩸⫘⫏≰2022120⋷(⨈⫕⫏≰20112202))↬(⫏≰20012100≹⇙⪍⫏≰20211220↺⫏≰2012020⋳⪒⫏≰11210122)⫩⊇=NaN","reverse_text":"NaN=(⫏≰10221120⨐⩸⫘⫏≰2022120⋷(⨈⫕⫏≰20112202))↬(⫏≰20012100≹⇙⪍⫏≰20211220↺⫏≰2012020⋳⪒⫏≰11210122)⫩⊇","cot":[{"info":"⫏≰10221120⨐⩸⫘⫏≰2022120=NaN","layer":3},{"info":"⨈⫕⫏≰20112202=⫏≰-210","layer":3},{"info":"NaN⋷⫏≰-210=NaN","layer":2},{"info":"⫏≰20012100≹⇙⪍⫏≰20211220=NaN","layer":3},{"info":"⫏≰2012020⋳⪒⫏≰11210122=⫏≰-210211","layer":3},{"info":"NaN↺⫏≰-210211=⫏≰-210211","layer":2},{"info":"NaN↬⫏≰-210211=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":572,"expression_no_base_symbol":"(↯⪼($1884$⋷$1323$)⪢(↣≠⋷$2152$))⪢((⇁⨣⪵$1527$)⋓($3211$⨳⩥⨓$2374$)⋝⋈⪟($4323$⪨≂$5326$)∑⇟⊟($2482$⋓$3255$))","expression":"(↯⪼(⫏≰2120210⋷⫏≰1211000)⪢(↣≠⋷⫏≰2221201))⪢((⇁⨣⪵⫏≰2002120)⋓(⫏≰11101221⨳⩥⨓⫏≰10020221)⋝⋈⪟(⫏≰12221010⪨≂⫏≰21022021)∑⇟⊟(⫏≰10101221⋓⫏≰11110120))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":78,"operation_count":12,"complexity_ratio":6.5,"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":1884,"base":3},"right_expr":{"type":"numeric_atoms","value":1323,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2152,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1527,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3211,"base":3},"right_expr":{"type":"numeric_atoms","value":2374,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4323,"base":3},"right_expr":{"type":"numeric_atoms","value":5326,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2482,"base":3},"right_expr":{"type":"numeric_atoms","value":3255,"base":3}}}}},"used_operators":["dWAJyo7jo9","8jW3W4yZS5","23Mk6UjR3U","Asc51vEJeQ","2DDjHMKMc0","T2fj7uvVaJ","inkyxCbjAn","nCS4ZIUYfx","U7g4x0WXJJ","sdazOOVcIp"],"dependent_operators":["k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1884","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=1323, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=762","layer":3},{"info":"number node, value=2152","layer":4},{"info":"compute unary expreesion, input=2152, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=762, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1527","layer":4},{"info":"compute unary expreesion, input=1527, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3211","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=3211, right_input=2374, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-837","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-837, op_id = T2fj7uvVaJ 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=4323","layer":4},{"info":"number node, value=5326","layer":4},{"info":"compute binary expreesion, left_input=4323, right_input=5326, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1904","layer":3},{"info":"number node, value=2482","layer":4},{"info":"number node, value=3255","layer":4},{"info":"compute binary expreesion, left_input=2482, right_input=3255, op_id = T2fj7uvVaJ 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=-1904, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-1904","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1904, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-21, 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":3,"result_base":3,"text":"(↯⪼(⫏≰2120210⋷⫏≰1211000)⪢(↣≠⋷⫏≰2221201))⪢((⇁⨣⪵⫏≰2002120)⋓(⫏≰11101221⨳⩥⨓⫏≰10020221)⋝⋈⪟(⫏≰12221010⪨≂⫏≰21022021)∑⇟⊟(⫏≰10101221⋓⫏≰11110120))=⫏≰0","reverse_text":"⫏≰0=(↯⪼(⫏≰2120210⋷⫏≰1211000)⪢(↣≠⋷⫏≰2221201))⪢((⇁⨣⪵⫏≰2002120)⋓(⫏≰11101221⨳⩥⨓⫏≰10020221)⋝⋈⪟(⫏≰12221010⪨≂⫏≰21022021)∑⇟⊟(⫏≰10101221⋓⫏≰11110120))","cot":[{"info":"⫏≰2120210⋷⫏≰1211000=⫏≰1001020","layer":3},{"info":"↣≠⋷⫏≰2221201=NaN","layer":3},{"info":"⫏≰1001020⪢NaN=NaN","layer":2},{"info":"↯⪼NaN=⫏≰-210","layer":1},{"info":"⇁⨣⪵⫏≰2002120=NaN","layer":3},{"info":"⫏≰11101221⨳⩥⨓⫏≰10020221=⫏≰-1011000","layer":3},{"info":"NaN⋓⫏≰-1011000=⫏≰0","layer":2},{"info":"⫏≰12221010⪨≂⫏≰21022021=⫏≰-2121112","layer":3},{"info":"⫏≰10101221⋓⫏≰11110120=⫏≰0","layer":3},{"info":"⫏≰-2121112∑⇟⊟⫏≰0=⫏≰-2121112","layer":2},{"info":"⫏≰0⋝⋈⪟⫏≰-2121112=⫏≰0","layer":1},{"info":"⫏≰-210⪢⫏≰0=⫏≰0","layer":0}]}
{"id":573,"expression_no_base_symbol":"⋗⩬⋾(-((⇁⨣⪵$2104$)⊪))","expression":"⋗⩬⋾(-((⇁⨣⪵⫏≰2212221)⊪))","highest_n_order":5,"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":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2104,"base":3}}}}},"used_operators":["DpFCA1CohY","t8gj7n24qd","zVYPLywUTj","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2104","layer":4},{"info":"compute unary expreesion, input=2104, op_id = inkyxCbjAn, 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":"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":3,"result_base":3,"text":"⋗⩬⋾(-((⇁⨣⪵⫏≰2212221)⊪))=NaN","reverse_text":"NaN=⋗⩬⋾(-((⇁⨣⪵⫏≰2212221)⊪))","cot":[{"info":"⇁⨣⪵⫏≰2212221=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":574,"expression_no_base_symbol":"(($6178$⋥≓≎$2378$)⨎$3874$≧⫂∧$1038$%((⪝⪂⫅$4865$)⊘))↺(+⊝⨔($6656$≎⊠⪸$1400$))⨽(($2085$≎⊠⪸$2454$)⩠)","expression":"((⫏≰22110211⋥≓≎⫏≰10021002)⨎⫏≰12022111≧⫂∧⫏≰1102110%((⪝⪂⫅⫏≰20200012)⊘))↺(+⊝⨔(⫏≰100010112≎⊠⪸⫏≰1220212))⨽((⫏≰2212020≎⊠⪸⫏≰10100220)⩠)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2873,"operation_count":12,"complexity_ratio":239.41666666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6178,"base":3},"right_expr":{"type":"numeric_atoms","value":2378,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3874,"base":3},"right_expr":{"type":"numeric_atoms","value":1038,"base":3}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4865,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6656,"base":3},"right_expr":{"type":"numeric_atoms","value":1400,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2085,"base":3},"right_expr":{"type":"numeric_atoms","value":2454,"base":3}}}}},"used_operators":["7j4O788W3g","k8jYdgA6NY","rJVOvQCfKK","Qy55tPpLXF","Ph9nP6C5qx","gu96TGCTMs","XTarYq4gQB","8HhzD0ZcuI","DhbWaqg5eL","bJkvcejdHO","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫏≰-111002000001110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6178","layer":4},{"info":"number node, value=2378","layer":4},{"info":"compute binary expreesion, left_input=6178, right_input=2378, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1389","layer":3},{"info":"number node, value=3874","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=3874, right_input=1038, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=565","layer":3},{"info":"compute binary expreesion, left_input=-1389, right_input=565, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=565","layer":2},{"info":"number node, value=4865","layer":4},{"info":"compute unary expreesion, input=4865, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-715155","layer":3},{"info":"compute unary expreesion, input=-715155, 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=565, right_input=-1, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=6656","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=6656, right_input=1400, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1723431","layer":3},{"info":"compute unary expreesion, input=1723431, 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=2085","layer":4},{"info":"number node, value=2454","layer":4},{"info":"compute binary expreesion, left_input=2085, right_input=2454, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=539542","layer":3},{"info":"compute unary expreesion, input=539542, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6948138","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-6948138, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-6948138","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22110211⋥≓≎⫏≰10021002)⨎⫏≰12022111≧⫂∧⫏≰1102110%((⪝⪂⫅⫏≰20200012)⊘))↺(+⊝⨔(⫏≰100010112≎⊠⪸⫏≰1220212))⨽((⫏≰2212020≎⊠⪸⫏≰10100220)⩠)=⫏≰-111002000001110","reverse_text":"⫏≰-111002000001110=((⫏≰22110211⋥≓≎⫏≰10021002)⨎⫏≰12022111≧⫂∧⫏≰1102110%((⪝⪂⫅⫏≰20200012)⊘))↺(+⊝⨔(⫏≰100010112≎⊠⪸⫏≰1220212))⨽((⫏≰2212020≎⊠⪸⫏≰10100220)⩠)","cot":[{"info":"⫏≰22110211⋥≓≎⫏≰10021002=⫏≰-1220110","layer":3},{"info":"⫏≰12022111≧⫂∧⫏≰1102110=⫏≰202221","layer":3},{"info":"⫏≰-1220110⨎⫏≰202221=⫏≰202221","layer":2},{"info":"⪝⪂⫅⫏≰20200012=⫏≰-1100100000020","layer":3},{"info":"⫏≰-1100100000020⊘=⫏≰-1","layer":2},{"info":"⫏≰202221%⫏≰-1=⫏≰0","layer":1},{"info":"⫏≰100010112≎⊠⪸⫏≰1220212=⫏≰10020120002210","layer":3},{"info":"+⊝⨔⫏≰10020120002210=⫏≰2002101","layer":2},{"info":"⫏≰2212020≎⊠⪸⫏≰10100220=⫏≰1000102010001","layer":3},{"info":"⫏≰1000102010001⩠=⫏≰0","layer":2},{"info":"⫏≰2002101⨽⫏≰0=⫏≰-111002000001110","layer":1},{"info":"⫏≰0↺⫏≰-111002000001110=⫏≰-111002000001110","layer":0}]}
{"id":575,"expression_no_base_symbol":"((⨑⩽⪐$3680$⋳⪒$4648$)⨰(⨑⩽⪐$1131$⪮%⊝$1746$))⪘⫢(↥($1395$⪄$6426$))⨪↰⇹(($3315$⋷$2457$)+⇶⊼(∥⊫$7735$))","expression":"((⨑⩽⪐⫏≰12001022⋳⪒⫏≰20101011)⨰(⨑⩽⪐⫏≰1112220⪮%⊝⫏≰2101200))⪘⫢(↥(⫏≰1220200⪄⫏≰22211000))⨪↰⇹((⫏≰11112210⋷⫏≰10101000)+⇶⊼(∥⊫⫏≰101121111))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4640,"operation_count":12,"complexity_ratio":386.6666666666667,"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":3680,"base":3},"right_expr":{"type":"numeric_atoms","value":4648,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1131,"base":3},"right_expr":{"type":"numeric_atoms","value":1746,"base":3}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1395,"base":3},"right_expr":{"type":"numeric_atoms","value":6426,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3315,"base":3},"right_expr":{"type":"numeric_atoms","value":2457,"base":3}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7735,"base":3}}}}},"used_operators":["oacrs7FA3X","eewbuw0ToL","AF7qkfDlqP","12rbrZMWeM","IWmyXbctLI","tmPS8pqC7x","A8NUZmVepG","SUmda5xLS4","TpPTUOHfaN","23Mk6UjR3U","P8v4zCKN1o"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3680","layer":4},{"info":"number node, value=4648","layer":4},{"info":"compute binary expreesion, left_input=3680, right_input=4648, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2425","layer":3},{"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":2},{"info":"number node, value=1131","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=1746, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2578","layer":3},{"info":"compute unary expreesion, input=2578, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2305","layer":2},{"info":"compute binary expreesion, left_input=-2152, right_input=-2305, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=163","layer":1},{"info":"number node, value=1395","layer":4},{"info":"number node, value=6426","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=6426, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-228253","layer":3},{"info":"compute unary expreesion, input=-228253, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=23","layer":2},{"info":"number node, value=3315","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=3315, right_input=2457, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1599","layer":3},{"info":"number node, value=7735","layer":4},{"info":"compute unary expreesion, input=7735, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8603","layer":3},{"info":"compute binary expreesion, left_input=1599, right_input=8603, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=23, 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=23","layer":1},{"info":"compute binary expreesion, left_input=163, right_input=23, 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":3,"result_base":3,"text":"((⨑⩽⪐⫏≰12001022⋳⪒⫏≰20101011)⨰(⨑⩽⪐⫏≰1112220⪮%⊝⫏≰2101200))⪘⫢(↥(⫏≰1220200⪄⫏≰22211000))⨪↰⇹((⫏≰11112210⋷⫏≰10101000)+⇶⊼(∥⊫⫏≰101121111))=⫏≰0","reverse_text":"⫏≰0=((⨑⩽⪐⫏≰12001022⋳⪒⫏≰20101011)⨰(⨑⩽⪐⫏≰1112220⪮%⊝⫏≰2101200))⪘⫢(↥(⫏≰1220200⪄⫏≰22211000))⨪↰⇹((⫏≰11112210⋷⫏≰10101000)+⇶⊼(∥⊫⫏≰101121111))","cot":[{"info":"⫏≰12001022⋳⪒⫏≰20101011=⫏≰10022211","layer":3},{"info":"⨑⩽⪐⫏≰10022211=⫏≰-2221201","layer":2},{"info":"⫏≰1112220⪮%⊝⫏≰2101200=⫏≰10112111","layer":3},{"info":"⨑⩽⪐⫏≰10112111=⫏≰-10011101","layer":2},{"info":"⫏≰-2221201⨰⫏≰-10011101=⫏≰20001","layer":1},{"info":"⫏≰1220200⪄⫏≰22211000=⫏≰-102121002211","layer":3},{"info":"↥⫏≰-102121002211=⫏≰212","layer":2},{"info":"⫏≰11112210⋷⫏≰10101000=⫏≰2012020","layer":3},{"info":"∥⊫⫏≰101121111=⫏≰102210122","layer":3},{"info":"⫏≰2012020+⇶⊼⫏≰102210122=NaN","layer":2},{"info":"⫏≰212⨪↰⇹NaN=⫏≰212","layer":1},{"info":"⫏≰20001⪘⫢⫏≰212=⫏≰0","layer":0}]}
{"id":576,"expression_no_base_symbol":"(((⨞⊢$4350$)⊉≛↸(-$5488$))↙(($4227$⊘)⊪))⨐⩸⫘(↽≂$5815$⨽$3708$)⪮%⊝((↩$5319$)↬$7173$⪢$1575$)","expression":"(((⨞⊢⫏≰12222010)⊉≛↸(-⫏≰21112021))↙((⫏≰12210120⊘)⊪))⨐⩸⫘(↽≂⫏≰21222101⨽⫏≰12002100)⪮%⊝((↩⫏≰21022000)↬⫏≰100211200⪢⫏≰2011100)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8846,"operation_count":13,"complexity_ratio":680.4615384615385,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4350,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5488,"base":3}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4227,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5815,"base":3},"right_expr":{"type":"numeric_atoms","value":3708,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5319,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7173,"base":3},"right_expr":{"type":"numeric_atoms","value":1575,"base":3}}}}},"used_operators":["fu6greOZ01","yyfyN0ffXY","DZ8iAZOCBD","xUOZtlo3hN","t8gj7n24qd","zVYPLywUTj","gu96TGCTMs","IWmyXbctLI","u6S6b8DprG","8HhzD0ZcuI","B5M0gjZbta","jLgFTUHLKL","dWAJyo7jo9"],"dependent_operators":["3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4350","layer":4},{"info":"compute unary expreesion, input=4350, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4524","layer":3},{"info":"number node, value=5488","layer":4},{"info":"compute unary expreesion, input=5488, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5488","layer":3},{"info":"compute binary expreesion, left_input=-4524, right_input=-5488, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5488","layer":2},{"info":"number node, value=4227","layer":4},{"info":"compute unary expreesion, input=4227, 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 = 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=5488, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"number node, value=5815","layer":4},{"info":"number node, value=3708","layer":4},{"info":"compute binary expreesion, left_input=5815, right_input=3708, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-101452485","layer":3},{"info":"compute unary expreesion, input=-101452485, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=202904970","layer":2},{"info":"number node, value=5319","layer":4},{"info":"compute unary expreesion, input=5319, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-39772","layer":3},{"info":"number node, value=7173","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=7173, right_input=1575, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-39772, 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=202904970, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((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":3,"result_base":3,"text":"(((⨞⊢⫏≰12222010)⊉≛↸(-⫏≰21112021))↙((⫏≰12210120⊘)⊪))⨐⩸⫘(↽≂⫏≰21222101⨽⫏≰12002100)⪮%⊝((↩⫏≰21022000)↬⫏≰100211200⪢⫏≰2011100)=NaN","reverse_text":"NaN=(((⨞⊢⫏≰12222010)⊉≛↸(-⫏≰21112021))↙((⫏≰12210120⊘)⊪))⨐⩸⫘(↽≂⫏≰21222101⨽⫏≰12002100)⪮%⊝((↩⫏≰21022000)↬⫏≰100211200⪢⫏≰2011100)","cot":[{"info":"⨞⊢⫏≰12222010=⫏≰-20012120","layer":3},{"info":"-⫏≰21112021=⫏≰-21112021","layer":3},{"info":"⫏≰-20012120⊉≛↸⫏≰-21112021=⫏≰21112021","layer":2},{"info":"⫏≰12210120⊘=⫏≰0","layer":3},{"info":"⫏≰0⊪=⫏≰0","layer":2},{"info":"⫏≰21112021↙⫏≰0=⫏≰0","layer":1},{"info":"⫏≰21222101⨽⫏≰12002100=⫏≰-21001220022122110","layer":3},{"info":"↽≂⫏≰-21001220022122110=⫏≰112010210122021220","layer":2},{"info":"↩⫏≰21022000=⫏≰-2000120001","layer":3},{"info":"⫏≰100211200⪢⫏≰2011100=NaN","layer":3},{"info":"⫏≰-2000120001↬NaN=NaN","layer":2},{"info":"⫏≰112010210122021220⪮%⊝NaN=NaN","layer":1},{"info":"⫏≰0⨐⩸⫘NaN=NaN","layer":0}]}
{"id":577,"expression_no_base_symbol":"(((↔$4067$)⫡⨏$1130$⪛$1077$)↙$1542$⇷$5227$⨐⩸⫘($1272$⨸⪁$4832$))⋥≓≎($1491$↺$5836$⫸⊐(⋗⩬⋾$3765$))⪛(($2302$⪄$1500$)⋳⪒$3219$≎⊠⪸$1475$)","expression":"(((↔⫏≰12120122)⫡⨏⫏≰1112212⪛⫏≰1110220)↙⫏≰2010010⇷⫏≰21011121⨐⩸⫘(⫏≰1202010⨸⪁⫏≰20121222))⋥≓≎(⫏≰2001020↺⫏≰22000011⫸⊐(⋗⩬⋾⫏≰12011110))⪛((⫏≰10011021⪄⫏≰2001120)⋳⪒⫏≰11102020≎⊠⪸⫏≰2000122)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22022,"operation_count":15,"complexity_ratio":1468.1333333333334,"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":4067,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1130,"base":3},"right_expr":{"type":"numeric_atoms","value":1077,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1542,"base":3},"right_expr":{"type":"numeric_atoms","value":5227,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1272,"base":3},"right_expr":{"type":"numeric_atoms","value":4832,"base":3}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1491,"base":3},"right_expr":{"type":"numeric_atoms","value":5836,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3765,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2302,"base":3},"right_expr":{"type":"numeric_atoms","value":1500,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3219,"base":3},"right_expr":{"type":"numeric_atoms","value":1475,"base":3}}}}},"used_operators":["Qy55tPpLXF","yyfyN0ffXY","QMFrweE19q","ruOEQAzv1W","uFcxV4UQCh","fu6greOZ01","mp7IySMOzn","g55IO6H4Gj","mqXw5SEYmG","7j4O788W3g","DpFCA1CohY","12rbrZMWeM","SUmda5xLS4","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4067","layer":4},{"info":"compute unary expreesion, input=4067, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3794","layer":3},{"info":"number node, value=1130","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=1077, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=53","layer":3},{"info":"compute binary expreesion, left_input=-3794, right_input=53, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-18081","layer":2},{"info":"number node, value=1542","layer":4},{"info":"number node, value=5227","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=5227, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10454","layer":3},{"info":"number node, value=1272","layer":4},{"info":"number node, value=4832","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=4832, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12208","layer":3},{"info":"compute binary expreesion, left_input=10454, right_input=12208, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-18081, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-18081","layer":1},{"info":"number node, value=1491","layer":4},{"info":"number node, value=5836","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=5836, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5836","layer":3},{"info":"number node, value=3765","layer":4},{"info":"compute unary expreesion, input=3765, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11295","layer":3},{"info":"compute binary expreesion, left_input=5836, right_input=-11295, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-22719","layer":2},{"info":"number node, value=2302","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=2302, right_input=1500, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-342785","layer":3},{"info":"number node, value=3219","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=3219, right_input=1475, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=833248","layer":3},{"info":"compute binary expreesion, left_input=-342785, right_input=833248, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1519105","layer":2},{"info":"compute binary expreesion, left_input=-22719, right_input=-1519105, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-22719","layer":1},{"info":"compute binary expreesion, left_input=-18081, right_input=-22719, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"(((↔⫏≰12120122)⫡⨏⫏≰1112212⪛⫏≰1110220)↙⫏≰2010010⇷⫏≰21011121⨐⩸⫘(⫏≰1202010⨸⪁⫏≰20121222))⋥≓≎(⫏≰2001020↺⫏≰22000011⫸⊐(⋗⩬⋾⫏≰12011110))⪛((⫏≰10011021⪄⫏≰2001120)⋳⪒⫏≰11102020≎⊠⪸⫏≰2000122)=⫏≰2111","reverse_text":"⫏≰2111=(((↔⫏≰12120122)⫡⨏⫏≰1112212⪛⫏≰1110220)↙⫏≰2010010⇷⫏≰21011121⨐⩸⫘(⫏≰1202010⨸⪁⫏≰20121222))⋥≓≎(⫏≰2001020↺⫏≰22000011⫸⊐(⋗⩬⋾⫏≰12011110))⪛((⫏≰10011021⪄⫏≰2001120)⋳⪒⫏≰11102020≎⊠⪸⫏≰2000122)","cot":[{"info":"↔⫏≰12120122=⫏≰-12012112","layer":3},{"info":"⫏≰1112212⪛⫏≰1110220=⫏≰1222","layer":3},{"info":"⫏≰-12012112⫡⨏⫏≰1222=⫏≰-220210200","layer":2},{"info":"⫏≰2010010⇷⫏≰21011121=⫏≰112100012","layer":3},{"info":"⫏≰1202010⨸⪁⫏≰20121222=⫏≰121202011","layer":3},{"info":"⫏≰112100012⨐⩸⫘⫏≰121202011=NaN","layer":2},{"info":"⫏≰-220210200↙NaN=⫏≰-220210200","layer":1},{"info":"⫏≰2001020↺⫏≰22000011=⫏≰22000011","layer":3},{"info":"⋗⩬⋾⫏≰12011110=⫏≰-120111100","layer":3},{"info":"⫏≰22000011⫸⊐⫏≰-120111100=⫏≰-1011011110","layer":2},{"info":"⫏≰10011021⪄⫏≰2001120=⫏≰-122102012202","layer":3},{"info":"⫏≰11102020≎⊠⪸⫏≰2000122=⫏≰1120100000001","layer":3},{"info":"⫏≰-122102012202⋳⪒⫏≰1120100000001=⫏≰-2212011211011","layer":2},{"info":"⫏≰-1011011110⪛⫏≰-2212011211011=⫏≰-1011011110","layer":1},{"info":"⫏≰-220210200⋥≓≎⫏≰-1011011110=⫏≰2111","layer":0}]}
{"id":578,"expression_no_base_symbol":"((⨰⫟⨤$8280$↬$6229$)⨎($4573$⨐⩸⫘$2804$)+⇶⊼($1822$⊠≄⫣))⪘⫢((↩$3222$↙$2231$)⫥∨⫟$1369$⪮%⊝$5584$⪘⫢($6748$≎⊠⪸$1004$))","expression":"((⨰⫟⨤⫏≰102100200↬⫏≰22112201)⨎(⫏≰20021101⨐⩸⫘⫏≰10211212)+⇶⊼(⫏≰2111111⊠≄⫣))⪘⫢((↩⫏≰11102100↙⫏≰10001122)⫥∨⫟⫏≰1212201⪮%⊝⫏≰21122211⪘⫢(⫏≰100020221≎⊠⪸⫏≰1101012))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2747,"operation_count":13,"complexity_ratio":211.30769230769232,"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":8280,"base":3},"right_expr":{"type":"numeric_atoms","value":6229,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4573,"base":3},"right_expr":{"type":"numeric_atoms","value":2804,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1822,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3222,"base":3},"right_expr":{"type":"numeric_atoms","value":2231,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1369,"base":3},"right_expr":{"type":"numeric_atoms","value":5584,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6748,"base":3},"right_expr":{"type":"numeric_atoms","value":1004,"base":3}}}}},"used_operators":["oacrs7FA3X","rJVOvQCfKK","Tw270M8GLb","B5M0gjZbta","TpPTUOHfaN","fu6greOZ01","DIvbN7qnHd","KYD54nUTWz","jLgFTUHLKL","yyfyN0ffXY","IWmyXbctLI","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8280","layer":4},{"info":"number node, value=6229","layer":4},{"info":"compute binary expreesion, left_input=8280, right_input=6229, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=4573","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=4573, right_input=2804, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1822","layer":4},{"info":"compute unary expreesion, input=1822, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(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 = 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=3222","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=3222, right_input=2231, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6693","layer":3},{"info":"compute unary expreesion, input=-6693, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=29392","layer":2},{"info":"number node, value=1369","layer":4},{"info":"number node, value=5584","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=5584, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3054","layer":3},{"info":"number node, value=6748","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=6748, right_input=1004, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1747259","layer":3},{"info":"compute binary expreesion, left_input=3054, right_input=1747259, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5984","layer":2},{"info":"compute binary expreesion, left_input=29392, right_input=5984, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨰⫟⨤⫏≰102100200↬⫏≰22112201)⨎(⫏≰20021101⨐⩸⫘⫏≰10211212)+⇶⊼(⫏≰2111111⊠≄⫣))⪘⫢((↩⫏≰11102100↙⫏≰10001122)⫥∨⫟⫏≰1212201⪮%⊝⫏≰21122211⪘⫢(⫏≰100020221≎⊠⪸⫏≰1101012))=NaN","reverse_text":"NaN=((⨰⫟⨤⫏≰102100200↬⫏≰22112201)⨎(⫏≰20021101⨐⩸⫘⫏≰10211212)+⇶⊼(⫏≰2111111⊠≄⫣))⪘⫢((↩⫏≰11102100↙⫏≰10001122)⫥∨⫟⫏≰1212201⪮%⊝⫏≰21122211⪘⫢(⫏≰100020221≎⊠⪸⫏≰1101012))","cot":[{"info":"⫏≰102100200↬⫏≰22112201=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⫏≰20021101⨐⩸⫘⫏≰10211212=NaN","layer":3},{"info":"⫏≰2111111⊠≄⫣=⫏≰0","layer":3},{"info":"NaN+⇶⊼⫏≰0=⫏≰0","layer":2},{"info":"NaN⨎⫏≰0=⫏≰0","layer":1},{"info":"⫏≰11102100↙⫏≰10001122=⫏≰-100011220","layer":3},{"info":"↩⫏≰-100011220=⫏≰1111022121","layer":2},{"info":"⫏≰1212201⪮%⊝⫏≰21122211=⫏≰11012010","layer":3},{"info":"⫏≰100020221≎⊠⪸⫏≰1101012=⫏≰10021202210022","layer":3},{"info":"⫏≰11012010⪘⫢⫏≰10021202210022=⫏≰22012122","layer":2},{"info":"⫏≰1111022121⫥∨⫟⫏≰22012122=NaN","layer":1},{"info":"⫏≰0⪘⫢NaN=NaN","layer":0}]}
{"id":579,"expression_no_base_symbol":"((⨑⩽⪐(↥$2546$))⊠≄⫣)⪨≂($2346$⩤)⪢(⨑⩽⪐$3948$)∼(($1257$⨳⩥⨓$1525$)⨁⊸⫻)","expression":"((⨑⩽⪐(↥⫏≰10111022))⊠≄⫣)⪨≂(⫏≰10012220⩤)⪢(⨑⩽⪐⫏≰12102020)∼((⫏≰1201120⨳⩥⨓⫏≰2002111)⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4838,"operation_count":10,"complexity_ratio":483.8,"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":2546,"base":3}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2346,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3948,"base":3}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1257,"base":3},"right_expr":{"type":"numeric_atoms","value":1525,"base":3}}}}},"used_operators":["sdazOOVcIp","DIvbN7qnHd","AF7qkfDlqP","A8NUZmVepG","DyGG3AbaNP","dWAJyo7jo9","Z2TMIBDE3Q","glklzrTFfD","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰10210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2546","layer":4},{"info":"compute unary expreesion, input=2546, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=47","layer":3},{"info":"compute unary expreesion, input=47, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=226","layer":2},{"info":"compute unary expreesion, input=226, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=2346","layer":4},{"info":"compute unary expreesion, input=2346, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2346","layer":3},{"info":"number node, value=3948","layer":4},{"info":"compute unary expreesion, input=3948, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3675","layer":3},{"info":"compute binary expreesion, left_input=-2346, right_input=-3675, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1257","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=1525, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=268","layer":3},{"info":"compute unary expreesion, input=268, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=268","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=268, 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=0, 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=102","layer":0}],"base":3,"result_base":3,"text":"((⨑⩽⪐(↥⫏≰10111022))⊠≄⫣)⪨≂(⫏≰10012220⩤)⪢(⨑⩽⪐⫏≰12102020)∼((⫏≰1201120⨳⩥⨓⫏≰2002111)⨁⊸⫻)=⫏≰10210","reverse_text":"⫏≰10210=((⨑⩽⪐(↥⫏≰10111022))⊠≄⫣)⪨≂(⫏≰10012220⩤)⪢(⨑⩽⪐⫏≰12102020)∼((⫏≰1201120⨳⩥⨓⫏≰2002111)⨁⊸⫻)","cot":[{"info":"↥⫏≰10111022=⫏≰1202","layer":3},{"info":"⨑⩽⪐⫏≰1202=⫏≰22101","layer":2},{"info":"⫏≰22101⊠≄⫣=⫏≰0","layer":1},{"info":"⫏≰10012220⩤=⫏≰-10012220","layer":3},{"info":"⨑⩽⪐⫏≰12102020=⫏≰-12001010","layer":3},{"info":"⫏≰-10012220⪢⫏≰-12001010=NaN","layer":2},{"info":"⫏≰1201120⨳⩥⨓⫏≰2002111=⫏≰100221","layer":3},{"info":"⫏≰100221⨁⊸⫻=⫏≰100221","layer":2},{"info":"NaN∼⫏≰100221=⫏≰0","layer":1},{"info":"⫏≰0⪨≂⫏≰0=⫏≰10210","layer":0}]}
{"id":580,"expression_no_base_symbol":"(($4462$⪘⫢$2187$⫌⩹⨱)∧)⫥∨⫟((($2805$⊉≛↸$1504$)⪄($2211$⪨≂$1746$))≣⋋)","expression":"((⫏≰20010021⪘⫢⫏≰10000000⫌⩹⨱)∧)⫥∨⫟(((⫏≰10211220⊉≛↸⫏≰2001201)⪄(⫏≰10000220⪨≂⫏≰2101200))≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":798,"operation_count":8,"complexity_ratio":99.75,"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":4462,"base":3},"right_expr":{"type":"numeric_atoms","value":2187,"base":3}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2805,"base":3},"right_expr":{"type":"numeric_atoms","value":1504,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2211,"base":3},"right_expr":{"type":"numeric_atoms","value":1746,"base":3}}}}},"used_operators":["KYD54nUTWz","z63VuFQld9","EBcxylXtPf","oacrs7FA3X","Tcnh7f0tEr","SUmda5xLS4","DZ8iAZOCBD","sdazOOVcIp"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4462","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=4462, right_input=2187, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8800","layer":3},{"info":"compute unary expreesion, input=8800, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=19001","layer":2},{"info":"compute unary expreesion, input=19001, 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=2805","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=1504, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5610","layer":3},{"info":"number node, value=2211","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=1746, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1032","layer":3},{"info":"compute binary expreesion, left_input=5610, right_input=1032, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-830497","layer":2},{"info":"compute unary expreesion, input=-830497, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20010021⪘⫢⫏≰10000000⫌⩹⨱)∧)⫥∨⫟(((⫏≰10211220⊉≛↸⫏≰2001201)⪄(⫏≰10000220⪨≂⫏≰2101200))≣⋋)=NaN","reverse_text":"NaN=((⫏≰20010021⪘⫢⫏≰10000000⫌⩹⨱)∧)⫥∨⫟(((⫏≰10211220⊉≛↸⫏≰2001201)⪄(⫏≰10000220⪨≂⫏≰2101200))≣⋋)","cot":[{"info":"⫏≰20010021⪘⫢⫏≰10000000=⫏≰110001221","layer":3},{"info":"⫏≰110001221⫌⩹⨱=⫏≰222001202","layer":2},{"info":"⫏≰222001202∧=NaN","layer":1},{"info":"⫏≰10211220⊉≛↸⫏≰2001201=⫏≰21200210","layer":3},{"info":"⫏≰10000220⪨≂⫏≰2101200=⫏≰1102020","layer":3},{"info":"⫏≰21200210⪄⫏≰1102020=⫏≰-1120012020011","layer":2},{"info":"⫏≰-1120012020011≣⋋=⫏≰0","layer":1},{"info":"NaN⫥∨⫟⫏≰0=NaN","layer":0}]}
{"id":581,"expression_no_base_symbol":"⫓⪴((↣≠⋷$1838$≹⇙⪍$2921$)⋓(∂($5129$⨎$2259$)))","expression":"⫓⪴((↣≠⋷⫏≰2112002≹⇙⪍⫏≰11000012)⋓(∂(⫏≰21000222⨎⫏≰10002200)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":20,"operation_count":6,"complexity_ratio":3.3333333333333335,"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":1838,"base":3},"right_expr":{"type":"numeric_atoms","value":2921,"base":3}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5129,"base":3},"right_expr":{"type":"numeric_atoms","value":2259,"base":3}}}}},"used_operators":["eLxqMNBOBk","T2fj7uvVaJ","Asc51vEJeQ","AHs5Up7iyr","Uaa54Peajs","rJVOvQCfKK"],"dependent_operators":["9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1838","layer":4},{"info":"number node, value=2921","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=2921, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=5129","layer":4},{"info":"number node, value=2259","layer":4},{"info":"compute binary expreesion, left_input=5129, right_input=2259, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2259","layer":3},{"info":"compute unary expreesion, input=2259, 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 = T2fj7uvVaJ 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫓⪴((↣≠⋷⫏≰2112002≹⇙⪍⫏≰11000012)⋓(∂(⫏≰21000222⨎⫏≰10002200)))=NaN","reverse_text":"NaN=⫓⪴((↣≠⋷⫏≰2112002≹⇙⪍⫏≰11000012)⋓(∂(⫏≰21000222⨎⫏≰10002200)))","cot":[{"info":"⫏≰2112002≹⇙⪍⫏≰11000012=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⫏≰21000222⨎⫏≰10002200=⫏≰10002200","layer":3},{"info":"∂⫏≰10002200=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":582,"expression_no_base_symbol":"+⊝⨔($4130$⨟⋌⩍$4582$∀⇚≩(↩$2374$)⋷(∥⊫$1324$)∀⇚≩($1195$⩚⊴⇥$2753$))","expression":"+⊝⨔(⫏≰12122222⨟⋌⩍⫏≰20021201∀⇚≩(↩⫏≰10020221)⋷(∥⊫⫏≰1211001)∀⇚≩(⫏≰1122021⩚⊴⇥⫏≰10202222))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15391,"operation_count":8,"complexity_ratio":1923.875,"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":4130,"base":3},"right_expr":{"type":"numeric_atoms","value":4582,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2374,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1324,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1195,"base":3},"right_expr":{"type":"numeric_atoms","value":2753,"base":3}}}}},"used_operators":["DhbWaqg5eL","23Mk6UjR3U","LRNGc0VcxI","rGHVDoGpnC","jLgFTUHLKL","P8v4zCKN1o","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","Tcnh7f0tEr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4130","layer":4},{"info":"number node, value=4582","layer":4},{"info":"compute binary expreesion, left_input=4130, right_input=4582, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=2374","layer":4},{"info":"compute unary expreesion, input=2374, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16212","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16212, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1324","layer":4},{"info":"compute unary expreesion, input=1324, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2192","layer":3},{"info":"number node, value=1195","layer":4},{"info":"number node, value=2753","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=2753, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4069","layer":3},{"info":"compute binary expreesion, left_input=2192, right_input=-4069, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 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":3,"result_base":3,"text":"+⊝⨔(⫏≰12122222⨟⋌⩍⫏≰20021201∀⇚≩(↩⫏≰10020221)⋷(∥⊫⫏≰1211001)∀⇚≩(⫏≰1122021⩚⊴⇥⫏≰10202222))=⫏≰2002101","reverse_text":"⫏≰2002101=+⊝⨔(⫏≰12122222⨟⋌⩍⫏≰20021201∀⇚≩(↩⫏≰10020221)⋷(∥⊫⫏≰1211001)∀⇚≩(⫏≰1122021⩚⊴⇥⫏≰10202222))","cot":[{"info":"⫏≰12122222⨟⋌⩍⫏≰20021201=NaN","layer":3},{"info":"↩⫏≰10020221=⫏≰-211020110","layer":3},{"info":"NaN∀⇚≩⫏≰-211020110=NaN","layer":2},{"info":"∥⊫⫏≰1211001=⫏≰10000012","layer":3},{"info":"⫏≰1122021⩚⊴⇥⫏≰10202222=⫏≰-12120201","layer":3},{"info":"⫏≰10000012∀⇚≩⫏≰-12120201=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⫏≰2002101","layer":0}]}
{"id":583,"expression_no_base_symbol":"(($1814$∲⫓$5930$)⊭∹↮)⋥≓≎($4527$⪘⫢$6575$)⪢($2697$⊉≛↸$6639$)⩨($1622$⪢$3543$⫸⊐($1429$/$5780$))⨓(⪲⇎($1746$≣⋋))","expression":"((⫏≰2111012∲⫓⫏≰22010122)⊭∹↮)⋥≓≎(⫏≰20012200⪘⫢⫏≰100000112)⪢(⫏≰10200220⊉≛↸⫏≰100002220)⩨(⫏≰2020002⪢⫏≰11212020⫸⊐(⫏≰1221221/⫏≰21221002))⨓(⪲⇎(⫏≰2101200≣⋋))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9618,"operation_count":13,"complexity_ratio":739.8461538461538,"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":1814,"base":3},"right_expr":{"type":"numeric_atoms","value":5930,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4527,"base":3},"right_expr":{"type":"numeric_atoms","value":6575,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2697,"base":3},"right_expr":{"type":"numeric_atoms","value":6639,"base":3}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1622,"base":3},"right_expr":{"type":"numeric_atoms","value":3543,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1429,"base":3},"right_expr":{"type":"numeric_atoms","value":5780,"base":3}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1746,"base":3}}}}},"used_operators":["2DlMacCsIx","Qy55tPpLXF","xNBdhnnwKq","i8ToyICDmI","dWAJyo7jo9","oacrs7FA3X","DZ8iAZOCBD","3ViojmjbAp","mqXw5SEYmG","XhwjNDsVaA","XPYlsWDdGa","Tcnh7f0tEr"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1814","layer":4},{"info":"number node, value=5930","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=5930, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":2},{"info":"number node, value=4527","layer":4},{"info":"number node, value=6575","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=6575, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8930","layer":3},{"info":"number node, value=2697","layer":4},{"info":"number node, value=6639","layer":4},{"info":"compute binary expreesion, left_input=2697, right_input=6639, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5394","layer":3},{"info":"compute binary expreesion, left_input=8930, right_input=5394, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"number node, value=1622","layer":4},{"info":"number node, value=3543","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=3543, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1429","layer":4},{"info":"number node, value=5780","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=5780, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=1746","layer":4},{"info":"compute unary expreesion, input=1746, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', 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=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2111012∲⫓⫏≰22010122)⊭∹↮)⋥≓≎(⫏≰20012200⪘⫢⫏≰100000112)⪢(⫏≰10200220⊉≛↸⫏≰100002220)⩨(⫏≰2020002⪢⫏≰11212020⫸⊐(⫏≰1221221/⫏≰21221002))⨓(⪲⇎(⫏≰2101200≣⋋))=NaN","reverse_text":"NaN=((⫏≰2111012∲⫓⫏≰22010122)⊭∹↮)⋥≓≎(⫏≰20012200⪘⫢⫏≰100000112)⪢(⫏≰10200220⊉≛↸⫏≰100002220)⩨(⫏≰2020002⪢⫏≰11212020⫸⊐(⫏≰1221221/⫏≰21221002))⨓(⪲⇎(⫏≰2101200≣⋋))","cot":[{"info":"⫏≰2111012∲⫓⫏≰22010122=⫏≰0","layer":3},{"info":"⫏≰0⊭∹↮=⫏≰0","layer":2},{"info":"⫏≰20012200⪘⫢⫏≰100000112=⫏≰110020202","layer":3},{"info":"⫏≰10200220⊉≛↸⫏≰100002220=⫏≰21101210","layer":3},{"info":"⫏≰110020202⪢⫏≰21101210=NaN","layer":2},{"info":"⫏≰0⋥≓≎NaN=NaN","layer":1},{"info":"⫏≰2020002⪢⫏≰11212020=NaN","layer":3},{"info":"⫏≰1221221/⫏≰21221002=⫏≰0","layer":3},{"info":"NaN⫸⊐⫏≰0=NaN","layer":2},{"info":"⫏≰2101200≣⋋=⫏≰0","layer":3},{"info":"⪲⇎⫏≰0=⫏≰0","layer":2},{"info":"NaN⨓⫏≰0=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":584,"expression_no_base_symbol":"($7356$⪄$5881$)⪮%⊝($2173$⨸⪁$6524$)⨐⩸⫘(⨵≀≌$2485$≧⫂∧$2183$)⩨($2513$⩨$4686$⨵⪆($5955$⨁⊸⫻))⪄($3234$∧)↺($1127$∲⫓$6031$)","expression":"(⫏≰101002110⪄⫏≰22001211)⪮%⊝(⫏≰2222111⨸⪁⫏≰22221122)⨐⩸⫘(⨵≀≌⫏≰10102001≧⫂∧⫏≰2222212)⩨(⫏≰10110002⩨⫏≰20102120⨵⪆(⫏≰22011120⨁⊸⫻))⪄(⫏≰11102210∧)↺(⫏≰1112202∲⫓⫏≰22021101)","highest_n_order":5,"priority_hierarchical_complexity":10,"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":7356,"base":3},"right_expr":{"type":"numeric_atoms","value":5881,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2173,"base":3},"right_expr":{"type":"numeric_atoms","value":6524,"base":3}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2485,"base":3},"right_expr":{"type":"numeric_atoms","value":2183,"base":3}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2513,"base":3},"right_expr":{"type":"numeric_atoms","value":4686,"base":3}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5955,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3234,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1127,"base":3},"right_expr":{"type":"numeric_atoms","value":6031,"base":3}}}}},"used_operators":["2DlMacCsIx","fu6greOZ01","IWmyXbctLI","SUmda5xLS4","g55IO6H4Gj","srAu1WTS94","Ph9nP6C5qx","2DQ55sFlQl","glklzrTFfD","7j4O788W3g","z63VuFQld9","i8ToyICDmI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7356","layer":4},{"info":"number node, value=5881","layer":4},{"info":"compute binary expreesion, left_input=7356, right_input=5881, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1108301","layer":3},{"info":"number node, value=2173","layer":4},{"info":"number node, value=6524","layer":4},{"info":"compute binary expreesion, left_input=2173, right_input=6524, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17394","layer":3},{"info":"compute binary expreesion, left_input=-1108301, right_input=17394, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-2216286","layer":2},{"info":"number node, value=2485","layer":4},{"info":"number node, value=2183","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=2183, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1710","layer":3},{"info":"compute unary expreesion, input=1710, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5130","layer":2},{"info":"compute binary expreesion, left_input=-2216286, right_input=-5130, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2513","layer":4},{"info":"number node, value=4686","layer":4},{"info":"compute binary expreesion, left_input=2513, right_input=4686, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=5955","layer":4},{"info":"compute unary expreesion, input=5955, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5955","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=5955, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3234","layer":4},{"info":"compute unary expreesion, input=3234, 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=1127","layer":4},{"info":"number node, value=6031","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=6031, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-19769","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-19769, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰101002110⪄⫏≰22001211)⪮%⊝(⫏≰2222111⨸⪁⫏≰22221122)⨐⩸⫘(⨵≀≌⫏≰10102001≧⫂∧⫏≰2222212)⩨(⫏≰10110002⩨⫏≰20102120⨵⪆(⫏≰22011120⨁⊸⫻))⪄(⫏≰11102210∧)↺(⫏≰1112202∲⫓⫏≰22021101)=NaN","reverse_text":"NaN=(⫏≰101002110⪄⫏≰22001211)⪮%⊝(⫏≰2222111⨸⪁⫏≰22221122)⨐⩸⫘(⨵≀≌⫏≰10102001≧⫂∧⫏≰2222212)⩨(⫏≰10110002⩨⫏≰20102120⨵⪆(⫏≰22011120⨁⊸⫻))⪄(⫏≰11102210∧)↺(⫏≰1112202∲⫓⫏≰22021101)","cot":[{"info":"⫏≰101002110⪄⫏≰22001211=⫏≰-2002022022012","layer":3},{"info":"⫏≰2222111⨸⪁⫏≰22221122=⫏≰212212020","layer":3},{"info":"⫏≰-2002022022012⪮%⊝⫏≰212212020=⫏≰-11011121011200","layer":2},{"info":"⫏≰10102001≧⫂∧⫏≰2222212=⫏≰2100100","layer":3},{"info":"⨵≀≌⫏≰2100100=⫏≰-21001000","layer":2},{"info":"⫏≰-11011121011200⨐⩸⫘⫏≰-21001000=NaN","layer":1},{"info":"⫏≰10110002⩨⫏≰20102120=⫏≰-10","layer":3},{"info":"⫏≰22011120⨁⊸⫻=⫏≰22011120","layer":3},{"info":"⫏≰-10⨵⪆⫏≰22011120=⫏≰12221","layer":2},{"info":"⫏≰11102210∧=NaN","layer":3},{"info":"⫏≰1112202∲⫓⫏≰22021101=⫏≰0","layer":3},{"info":"NaN↺⫏≰0=⫏≰0","layer":2},{"info":"⫏≰12221⪄⫏≰0=⫏≰-1000010012","layer":1},{"info":"NaN⩨⫏≰-1000010012=NaN","layer":0}]}
{"id":585,"expression_no_base_symbol":"(($2461$+$4948$)≋⫹)-$2178$⨳⩥⨓$1742$↺(⊙↵-$4634$)⪨≂($4634$⨸⪁$6479$)⩷∴(⊥$5849$)⨸⪁($1007$⊘)⨎(↩$6393$)","expression":"((⫏≰10101011+⫏≰20210021)≋⫹)-⫏≰2222200⨳⩥⨓⫏≰2101112↺(⊙↵-⫏≰20100122)⪨≂(⫏≰20100122⨸⪁⫏≰22212222)⩷∴(⊥⫏≰22000122)⨸⪁(⫏≰1101022⊘)⨎(↩⫏≰22202210)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4744,"operation_count":14,"complexity_ratio":338.85714285714283,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2461,"base":3},"right_expr":{"type":"numeric_atoms","value":4948,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2178,"base":3},"right_expr":{"type":"numeric_atoms","value":1742,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4634,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4634,"base":3},"right_expr":{"type":"numeric_atoms","value":6479,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5849,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1007,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6393,"base":3}}}}},"used_operators":["sdazOOVcIp","rysDP5nf3Z","N41Kp7NANJ","W4YGzv6Whe","7j4O788W3g","nCS4ZIUYfx","oWn0xqSxBt","g55IO6H4Gj","9FxExcQeMw","Q3PJZHRvZv","rJVOvQCfKK","gu96TGCTMs","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2461","layer":4},{"info":"number node, value=4948","layer":4},{"info":"compute binary expreesion, left_input=2461, right_input=4948, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7409","layer":3},{"info":"compute unary expreesion, input=7409, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14818","layer":2},{"info":"number node, value=2178","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=2178, right_input=1742, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-436","layer":3},{"info":"number node, value=4634","layer":4},{"info":"compute unary expreesion, input=4634, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-436, 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=-14818, right_input=-1, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-14817","layer":1},{"info":"number node, value=4634","layer":4},{"info":"number node, value=6479","layer":4},{"info":"compute binary expreesion, left_input=4634, right_input=6479, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22226","layer":3},{"info":"number node, value=5849","layer":4},{"info":"compute unary expreesion, input=5849, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=22226, 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=1007","layer":4},{"info":"compute unary expreesion, input=1007, 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=6393","layer":4},{"info":"compute unary expreesion, input=6393, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-48364","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-48364, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-48364","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-48364, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-14817, 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":3,"result_base":3,"text":"((⫏≰10101011+⫏≰20210021)≋⫹)-⫏≰2222200⨳⩥⨓⫏≰2101112↺(⊙↵-⫏≰20100122)⪨≂(⫏≰20100122⨸⪁⫏≰22212222)⩷∴(⊥⫏≰22000122)⨸⪁(⫏≰1101022⊘)⨎(↩⫏≰22202210)=NaN","reverse_text":"NaN=((⫏≰10101011+⫏≰20210021)≋⫹)-⫏≰2222200⨳⩥⨓⫏≰2101112↺(⊙↵-⫏≰20100122)⪨≂(⫏≰20100122⨸⪁⫏≰22212222)⩷∴(⊥⫏≰22000122)⨸⪁(⫏≰1101022⊘)⨎(↩⫏≰22202210)","cot":[{"info":"⫏≰10101011+⫏≰20210021=⫏≰101011102","layer":3},{"info":"⫏≰101011102≋⫹=⫏≰-202022211","layer":2},{"info":"⫏≰2222200⨳⩥⨓⫏≰2101112=⫏≰-121011","layer":3},{"info":"⊙↵-⫏≰20100122=⫏≰-1","layer":3},{"info":"⫏≰-121011↺⫏≰-1=⫏≰-1","layer":2},{"info":"⫏≰-202022211-⫏≰-1=⫏≰-202022210","layer":1},{"info":"⫏≰20100122⨸⪁⫏≰22212222=⫏≰1010111012","layer":3},{"info":"⊥⫏≰22000122=NaN","layer":3},{"info":"⫏≰1010111012⩷∴NaN=NaN","layer":2},{"info":"⫏≰1101022⊘=⫏≰0","layer":3},{"info":"↩⫏≰22202210=⫏≰-2110100021","layer":3},{"info":"⫏≰0⨎⫏≰-2110100021=⫏≰-2110100021","layer":2},{"info":"NaN⨸⪁⫏≰-2110100021=NaN","layer":1},{"info":"⫏≰-202022210⪨≂NaN=NaN","layer":0}]}
{"id":586,"expression_no_base_symbol":"(($2561$-$1074$)-$1269$⨟⋌⩍$2258$)⩷∴((⨞⊢$9395$)⋷(↔$4857$))⪒($6714$⫥∨⫟$1442$)⨪↰⇹($6533$≧⫂∧$3285$)⩨(↩$1064$)≧⫂∧($1041$⨰$1077$)","expression":"((⫏≰10111212-⫏≰1110210)-⫏≰1202000⨟⋌⩍⫏≰10002122)⩷∴((⨞⊢⫏≰110212222)⋷(↔⫏≰20122220))⪒(⫏≰100012200⫥∨⫟⫏≰1222102)⨪↰⇹(⫏≰22221222≧⫂∧⫏≰11111200)⩨(↩⫏≰1110102)≧⫂∧(⫏≰1102120⨰⫏≰1110220)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":206,"operation_count":15,"complexity_ratio":13.733333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2561,"base":3},"right_expr":{"type":"numeric_atoms","value":1074,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1269,"base":3},"right_expr":{"type":"numeric_atoms","value":2258,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":9395,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4857,"base":3}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6714,"base":3},"right_expr":{"type":"numeric_atoms","value":1442,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6533,"base":3},"right_expr":{"type":"numeric_atoms","value":3285,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1064,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1041,"base":3},"right_expr":{"type":"numeric_atoms","value":1077,"base":3}}}}},"used_operators":["f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","rGHVDoGpnC","23Mk6UjR3U","xUOZtlo3hN","ruOEQAzv1W","2DlMacCsIx","tmPS8pqC7x","KYD54nUTWz","Ph9nP6C5qx","jLgFTUHLKL","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2561","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=2561, right_input=1074, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1487","layer":3},{"info":"number node, value=1269","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=2258, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1487, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=9395","layer":4},{"info":"compute unary expreesion, input=9395, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-9569","layer":3},{"info":"number node, value=4857","layer":4},{"info":"compute unary expreesion, input=4857, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4584","layer":3},{"info":"compute binary expreesion, left_input=-9569, right_input=-4584, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=19138","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19138, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=6714","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=6714, right_input=1442, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6533","layer":4},{"info":"number node, value=3285","layer":4},{"info":"compute binary expreesion, left_input=6533, right_input=3285, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2812","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2812, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5732","layer":3},{"info":"number node, value=1041","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1077, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-26","layer":3},{"info":"compute binary expreesion, left_input=-5732, right_input=-26, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-499","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-499, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10111212-⫏≰1110210)-⫏≰1202000⨟⋌⩍⫏≰10002122)⩷∴((⨞⊢⫏≰110212222)⋷(↔⫏≰20122220))⪒(⫏≰100012200⫥∨⫟⫏≰1222102)⨪↰⇹(⫏≰22221222≧⫂∧⫏≰11111200)⩨(↩⫏≰1110102)≧⫂∧(⫏≰1102120⨰⫏≰1110220)=NaN","reverse_text":"NaN=((⫏≰10111212-⫏≰1110210)-⫏≰1202000⨟⋌⩍⫏≰10002122)⩷∴((⨞⊢⫏≰110212222)⋷(↔⫏≰20122220))⪒(⫏≰100012200⫥∨⫟⫏≰1222102)⨪↰⇹(⫏≰22221222≧⫂∧⫏≰11111200)⩨(↩⫏≰1110102)≧⫂∧(⫏≰1102120⨰⫏≰1110220)","cot":[{"info":"⫏≰10111212-⫏≰1110210=⫏≰2001002","layer":3},{"info":"⫏≰1202000⨟⋌⩍⫏≰10002122=NaN","layer":3},{"info":"⫏≰2001002-NaN=NaN","layer":2},{"info":"⨞⊢⫏≰110212222=⫏≰-111010102","layer":3},{"info":"↔⫏≰20122220=⫏≰-20021210","layer":3},{"info":"⫏≰-111010102⋷⫏≰-20021210=⫏≰222020211","layer":2},{"info":"NaN⩷∴⫏≰222020211=NaN","layer":1},{"info":"⫏≰100012200⫥∨⫟⫏≰1222102=NaN","layer":3},{"info":"⫏≰22221222≧⫂∧⫏≰11111200=⫏≰10212011","layer":3},{"info":"NaN⨪↰⇹⫏≰10212011=NaN","layer":2},{"info":"↩⫏≰1110102=⫏≰-21212022","layer":3},{"info":"⫏≰1102120⨰⫏≰1110220=⫏≰-222","layer":3},{"info":"⫏≰-21212022≧⫂∧⫏≰-222=⫏≰-200111","layer":2},{"info":"NaN⩨⫏≰-200111=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":587,"expression_no_base_symbol":"+⊝⨔((⊄⩳↩($1090$⨐⩸⫘$8299$))⨰(⊙↵-(⇁⨣⪵$2676$)))","expression":"+⊝⨔((⊄⩳↩(⫏≰1111101⨐⩸⫘⫏≰102101101))⨰(⊙↵-(⇁⨣⪵⫏≰10200010)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":58,"operation_count":6,"complexity_ratio":9.666666666666666,"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":1090,"base":3},"right_expr":{"type":"numeric_atoms","value":8299,"base":3}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2676,"base":3}}}}},"used_operators":["DhbWaqg5eL","eewbuw0ToL","8w2t5hMYqp","fu6greOZ01","oWn0xqSxBt","inkyxCbjAn"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"number node, value=8299","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=8299, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=2676","layer":4},{"info":"compute unary expreesion, input=2676, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":3,"result_base":3,"text":"+⊝⨔((⊄⩳↩(⫏≰1111101⨐⩸⫘⫏≰102101101))⨰(⊙↵-(⇁⨣⪵⫏≰10200010)))=⫏≰2002101","reverse_text":"⫏≰2002101=+⊝⨔((⊄⩳↩(⫏≰1111101⨐⩸⫘⫏≰102101101))⨰(⊙↵-(⇁⨣⪵⫏≰10200010)))","cot":[{"info":"⫏≰1111101⨐⩸⫘⫏≰102101101=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⇁⨣⪵⫏≰10200010=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⫏≰2002101","layer":0}]}
{"id":588,"expression_no_base_symbol":"(($2682$⋷$6061$)⩨$5904$∑⇟⊟$1128$%($1833$⪄$1884$)↺$4903$⩷∴$1173$)⋝⋈⪟($6616$≋⫹)∼($2010$⩨$1742$)↬$1278$⪛$1334$⨪↰⇹(≉$4552$)","expression":"((⫏≰10200100⋷⫏≰22022111)⩨⫏≰22002200∑⇟⊟⫏≰1112210%(⫏≰2111220⪄⫏≰2120210)↺⫏≰20201121⩷∴⫏≰1121110)⋝⋈⪟(⫏≰100002001≋⫹)∼(⫏≰2202110⩨⫏≰2101112)↬⫏≰1202100⪛⫏≰1211102⨪↰⇹(≉⫏≰20020121)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1706,"operation_count":15,"complexity_ratio":113.73333333333333,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2682,"base":3},"right_expr":{"type":"numeric_atoms","value":6061,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5904,"base":3},"right_expr":{"type":"numeric_atoms","value":1128,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1833,"base":3},"right_expr":{"type":"numeric_atoms","value":1884,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4903,"base":3},"right_expr":{"type":"numeric_atoms","value":1173,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6616,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2010,"base":3},"right_expr":{"type":"numeric_atoms","value":1742,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1278,"base":3},"right_expr":{"type":"numeric_atoms","value":1334,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4552,"base":3}}}}},"used_operators":["2DDjHMKMc0","k8jYdgA6NY","2DlMacCsIx","23Mk6UjR3U","U7g4x0WXJJ","7j4O788W3g","SUmda5xLS4","9FxExcQeMw","B5M0gjZbta","DyGG3AbaNP","N41Kp7NANJ","tmPS8pqC7x","uFcxV4UQCh","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2682","layer":4},{"info":"number node, value=6061","layer":4},{"info":"compute binary expreesion, left_input=2682, right_input=6061, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9440","layer":3},{"info":"number node, value=5904","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=5904, right_input=1128, 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=9440, 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=1833","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=1884, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-274909","layer":3},{"info":"number node, value=4903","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=4903, right_input=1173, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7428","layer":3},{"info":"compute binary expreesion, left_input=-274909, right_input=7428, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7428","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7428, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6616","layer":4},{"info":"compute unary expreesion, input=6616, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-13232","layer":3},{"info":"number node, value=2010","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=2010, right_input=1742, 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=-13232, 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=1278","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=1334, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1278","layer":3},{"info":"number node, value=4552","layer":4},{"info":"compute unary expreesion, input=4552, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5083","layer":3},{"info":"compute binary expreesion, left_input=1278, right_input=5083, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1278","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=1278, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10200100⋷⫏≰22022111)⩨⫏≰22002200∑⇟⊟⫏≰1112210%(⫏≰2111220⪄⫏≰2120210)↺⫏≰20201121⩷∴⫏≰1121110)⋝⋈⪟(⫏≰100002001≋⫹)∼(⫏≰2202110⩨⫏≰2101112)↬⫏≰1202100⪛⫏≰1211102⨪↰⇹(≉⫏≰20020121)=NaN","reverse_text":"NaN=((⫏≰10200100⋷⫏≰22022111)⩨⫏≰22002200∑⇟⊟⫏≰1112210%(⫏≰2111220⪄⫏≰2120210)↺⫏≰20201121⩷∴⫏≰1121110)⋝⋈⪟(⫏≰100002001≋⫹)∼(⫏≰2202110⩨⫏≰2101112)↬⫏≰1202100⪛⫏≰1211102⨪↰⇹(≉⫏≰20020121)","cot":[{"info":"⫏≰10200100⋷⫏≰22022111=⫏≰110221122","layer":3},{"info":"⫏≰22002200∑⇟⊟⫏≰1112210=NaN","layer":3},{"info":"⫏≰110221122⩨NaN=NaN","layer":2},{"info":"⫏≰2111220⪄⫏≰2120210=⫏≰-111222002211","layer":3},{"info":"⫏≰20201121⩷∴⫏≰1121110=⫏≰101012010","layer":3},{"info":"⫏≰-111222002211↺⫏≰101012010=⫏≰101012010","layer":2},{"info":"NaN%⫏≰101012010=NaN","layer":1},{"info":"⫏≰100002001≋⫹=⫏≰-200011002","layer":3},{"info":"⫏≰2202110⩨⫏≰2101112=⫏≰0","layer":3},{"info":"⫏≰-200011002∼⫏≰0=⫏≰202","layer":2},{"info":"⫏≰1202100⪛⫏≰1211102=⫏≰1202100","layer":3},{"info":"≉⫏≰20020121=⫏≰20222021","layer":3},{"info":"⫏≰1202100⨪↰⇹⫏≰20222021=⫏≰1202100","layer":2},{"info":"⫏≰202↬⫏≰1202100=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":589,"expression_no_base_symbol":"($6792$↙$2776$⪒(⪲⇎$5277$))↬($4956$↙$1208$)⊴($2522$≋⫹)⨰((($1929$⊭∹↮)⩠)≧⫂∧($2247$≦≮≮)↬($3884$⊠≄⫣))","expression":"(⫏≰100022120↙⫏≰10210211⪒(⪲⇎⫏≰21020110))↬(⫏≰20210120↙⫏≰1122202)⊴(⫏≰10110102≋⫹)⨰(((⫏≰2122110⊭∹↮)⩠)≧⫂∧(⫏≰10002020≦≮≮)↬(⫏≰12022212⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9087,"operation_count":14,"complexity_ratio":649.0714285714286,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6792,"base":3},"right_expr":{"type":"numeric_atoms","value":2776,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5277,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4956,"base":3},"right_expr":{"type":"numeric_atoms","value":1208,"base":3}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2522,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1929,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2247,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3884,"base":3}}}}},"used_operators":["eewbuw0ToL","B5M0gjZbta","f6k1SAg4EE","yyfyN0ffXY","XPYlsWDdGa","Nsiff2A1zJ","N41Kp7NANJ","Ph9nP6C5qx","sJAwomhLZr","xNBdhnnwKq","D4vGDi5EA2","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6792","layer":4},{"info":"number node, value=2776","layer":4},{"info":"compute binary expreesion, left_input=6792, right_input=2776, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8328","layer":3},{"info":"number node, value=5277","layer":4},{"info":"compute unary expreesion, input=5277, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10554","layer":3},{"info":"compute binary expreesion, left_input=-8328, right_input=10554, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2226","layer":2},{"info":"number node, value=4956","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=4956, right_input=1208, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3624","layer":3},{"info":"number node, value=2522","layer":4},{"info":"compute unary expreesion, input=2522, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5044","layer":3},{"info":"compute binary expreesion, left_input=-3624, right_input=-5044, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2226, 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=1929","layer":4},{"info":"compute unary expreesion, input=1929, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3858","layer":3},{"info":"compute unary expreesion, input=3858, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=2247","layer":4},{"info":"compute unary expreesion, input=2247, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6741","layer":3},{"info":"number node, value=3884","layer":4},{"info":"compute unary expreesion, input=3884, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6741, 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=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=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰100022120↙⫏≰10210211⪒(⪲⇎⫏≰21020110))↬(⫏≰20210120↙⫏≰1122202)⊴(⫏≰10110102≋⫹)⨰(((⫏≰2122110⊭∹↮)⩠)≧⫂∧(⫏≰10002020≦≮≮)↬(⫏≰12022212⊠≄⫣))=NaN","reverse_text":"NaN=(⫏≰100022120↙⫏≰10210211⪒(⪲⇎⫏≰21020110))↬(⫏≰20210120↙⫏≰1122202)⊴(⫏≰10110102≋⫹)⨰(((⫏≰2122110⊭∹↮)⩠)≧⫂∧(⫏≰10002020≦≮≮)↬(⫏≰12022212⊠≄⫣))","cot":[{"info":"⫏≰100022120↙⫏≰10210211=⫏≰-102102110","layer":3},{"info":"⪲⇎⫏≰21020110=⫏≰112110220","layer":3},{"info":"⫏≰-102102110⪒⫏≰112110220=⫏≰-10001110","layer":2},{"info":"⫏≰20210120↙⫏≰1122202=⫏≰-11222020","layer":3},{"info":"⫏≰10110102≋⫹=⫏≰-20220211","layer":3},{"info":"⫏≰-11222020⊴⫏≰-20220211=NaN","layer":2},{"info":"⫏≰-10001110↬NaN=NaN","layer":1},{"info":"⫏≰2122110⊭∹↮=⫏≰12021220","layer":3},{"info":"⫏≰12021220⩠=⫏≰0","layer":2},{"info":"⫏≰10002020≦≮≮=⫏≰-100020200","layer":3},{"info":"⫏≰12022212⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰-100020200↬⫏≰0=NaN","layer":2},{"info":"⫏≰0≧⫂∧NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":590,"expression_no_base_symbol":"(($3108$⫡⨏$6728$)↙$1401$⋳⪒$6915$)⊴($6493$≭$3438$⪒$1971$⊴$3242$)⨓(≦∁(⊄⩳↩($1818$⊭↱$1447$)))","expression":"((⫏≰11021010⫡⨏⫏≰100020012)↙⫏≰1220220⋳⪒⫏≰100111010)⊴(⫏≰22220111≭⫏≰11201100⪒⫏≰2201000⊴⫏≰11110002)⨓(≦∁(⊄⩳↩(⫏≰2111100⊭↱⫏≰1222121)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9903,"operation_count":11,"complexity_ratio":900.2727272727273,"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":3108,"base":3},"right_expr":{"type":"numeric_atoms","value":6728,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1401,"base":3},"right_expr":{"type":"numeric_atoms","value":6915,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6493,"base":3},"right_expr":{"type":"numeric_atoms","value":3438,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1971,"base":3},"right_expr":{"type":"numeric_atoms","value":3242,"base":3}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1818,"base":3},"right_expr":{"type":"numeric_atoms","value":1447,"base":3}}}}},"used_operators":["3ViojmjbAp","Nsiff2A1zJ","yyfyN0ffXY","QMFrweE19q","12rbrZMWeM","f6k1SAg4EE","rxpJgHHUmx","9ICcGScMcE","8w2t5hMYqp","COABgblf1C"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-10001000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3108","layer":4},{"info":"number node, value=6728","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=6728, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=29779","layer":3},{"info":"number node, value=1401","layer":4},{"info":"number node, value=6915","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=6915, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4400","layer":3},{"info":"compute binary expreesion, left_input=29779, right_input=-4400, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=13200","layer":2},{"info":"number node, value=6493","layer":4},{"info":"number node, value=3438","layer":4},{"info":"compute binary expreesion, left_input=6493, right_input=3438, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1971","layer":4},{"info":"number node, value=3242","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=3242, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13200, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1818","layer":4},{"info":"number node, value=1447","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=1447, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-737","layer":3},{"info":"compute unary expreesion, input=-737, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=2211","layer":2},{"info":"compute unary expreesion, input=2211, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2211","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2211, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2214","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11021010⫡⨏⫏≰100020012)↙⫏≰1220220⋳⪒⫏≰100111010)⊴(⫏≰22220111≭⫏≰11201100⪒⫏≰2201000⊴⫏≰11110002)⨓(≦∁(⊄⩳↩(⫏≰2111100⊭↱⫏≰1222121)))=⫏≰-10001000","reverse_text":"⫏≰-10001000=((⫏≰11021010⫡⨏⫏≰100020012)↙⫏≰1220220⋳⪒⫏≰100111010)⊴(⫏≰22220111≭⫏≰11201100⪒⫏≰2201000⊴⫏≰11110002)⨓(≦∁(⊄⩳↩(⫏≰2111100⊭↱⫏≰1222121)))","cot":[{"info":"⫏≰11021010⫡⨏⫏≰100020012=⫏≰1111211221","layer":3},{"info":"⫏≰1220220⋳⪒⫏≰100111010=⫏≰-20000222","layer":3},{"info":"⫏≰1111211221↙⫏≰-20000222=⫏≰200002220","layer":2},{"info":"⫏≰22220111≭⫏≰11201100=NaN","layer":3},{"info":"⫏≰2201000⊴⫏≰11110002=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"⫏≰200002220⊴NaN=NaN","layer":1},{"info":"⫏≰2111100⊭↱⫏≰1222121=⫏≰-1000022","layer":3},{"info":"⊄⩳↩⫏≰-1000022=⫏≰10000220","layer":2},{"info":"≦∁⫏≰10000220=⫏≰10000220","layer":1},{"info":"NaN⨓⫏≰10000220=⫏≰-10001000","layer":0}]}
{"id":591,"expression_no_base_symbol":"↽≂(($9607$⋷$8541$)↙$5160$≧⫂∧$1535$)⩷∴($1254$⩷∴$2353$)∀⇚≩(≤/$6240$)","expression":"↽≂((⫏≰111011211⋷⫏≰102201100)↙⫏≰21002010≧⫂∧⫏≰2002212)⩷∴(⫏≰1201110⩷∴⫏≰10020011)∀⇚≩(≤/⫏≰22120010)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16695,"operation_count":8,"complexity_ratio":2086.875,"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":9607,"base":3},"right_expr":{"type":"numeric_atoms","value":8541,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5160,"base":3},"right_expr":{"type":"numeric_atoms","value":1535,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1254,"base":3},"right_expr":{"type":"numeric_atoms","value":2353,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6240,"base":3}}}}},"used_operators":["u6S6b8DprG","9FxExcQeMw","yyfyN0ffXY","23Mk6UjR3U","Ph9nP6C5qx","LRNGc0VcxI","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9607","layer":4},{"info":"number node, value=8541","layer":4},{"info":"compute binary expreesion, left_input=9607, right_input=8541, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7475","layer":3},{"info":"number node, value=5160","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=5160, right_input=1535, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1062","layer":3},{"info":"compute binary expreesion, left_input=7475, right_input=1062, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3186","layer":2},{"info":"number node, value=1254","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=2353, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2230","layer":3},{"info":"number node, value=6240","layer":4},{"info":"compute unary expreesion, input=6240, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5756","layer":3},{"info":"compute binary expreesion, left_input=-2230, right_input=-5756, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-3186, 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 = 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":3,"result_base":3,"text":"↽≂((⫏≰111011211⋷⫏≰102201100)↙⫏≰21002010≧⫂∧⫏≰2002212)⩷∴(⫏≰1201110⩷∴⫏≰10020011)∀⇚≩(≤/⫏≰22120010)=NaN","reverse_text":"NaN=↽≂((⫏≰111011211⋷⫏≰102201100)↙⫏≰21002010≧⫂∧⫏≰2002212)⩷∴(⫏≰1201110⩷∴⫏≰10020011)∀⇚≩(≤/⫏≰22120010)","cot":[{"info":"⫏≰111011211⋷⫏≰102201100=⫏≰101020212","layer":3},{"info":"⫏≰21002010≧⫂∧⫏≰2002212=⫏≰1110100","layer":3},{"info":"⫏≰101020212↙⫏≰1110100=⫏≰-11101000","layer":2},{"info":"⫏≰1201110⩷∴⫏≰10020011=⫏≰-10001121","layer":3},{"info":"≤/⫏≰22120010=⫏≰-21220012","layer":3},{"info":"⫏≰-10001121∀⇚≩⫏≰-21220012=NaN","layer":2},{"info":"⫏≰-11101000⩷∴NaN=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":592,"expression_no_base_symbol":"(∥⊫($2992$⇷$6871$⊦⊿))⪨≂(↥$4958$⇷$3570$)⋥≓≎($4747$⪮%⊝$1417$∸)","expression":"(∥⊫(⫏≰11002211⇷⫏≰100102111⊦⊿))⪨≂(↥⫏≰20210122⇷⫏≰11220020)⋥≓≎(⫏≰20111211⪮%⊝⫏≰1221111∸)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":111656,"operation_count":9,"complexity_ratio":12406.222222222223,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2992,"base":3},"right_expr":{"type":"numeric_atoms","value":6871,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4958,"base":3},"right_expr":{"type":"numeric_atoms","value":3570,"base":3}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4747,"base":3},"right_expr":{"type":"numeric_atoms","value":1417,"base":3}}}}},"used_operators":["sdazOOVcIp","P8v4zCKN1o","14qkJME0vr","mp7IySMOzn","Qy55tPpLXF","A8NUZmVepG","o20kRiQErp","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","tmPS8pqC7x","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫏≰-1001222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2992","layer":4},{"info":"number node, value=6871","layer":4},{"info":"compute binary expreesion, left_input=2992, right_input=6871, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13742","layer":3},{"info":"compute unary expreesion, input=13742, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-41305","layer":2},{"info":"compute unary expreesion, input=-41305, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"number node, value=4958","layer":4},{"info":"number node, value=3570","layer":4},{"info":"compute binary expreesion, left_input=4958, right_input=3570, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7140","layer":3},{"info":"compute unary expreesion, input=7140, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"number node, value=4747","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=4747, right_input=1417, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9810","layer":3},{"info":"compute unary expreesion, input=9810, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=177, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=387","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=387, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-782","layer":0}],"base":3,"result_base":3,"text":"(∥⊫(⫏≰11002211⇷⫏≰100102111⊦⊿))⪨≂(↥⫏≰20210122⇷⫏≰11220020)⋥≓≎(⫏≰20111211⪮%⊝⫏≰1221111∸)=⫏≰-1001222","reverse_text":"⫏≰-1001222=(∥⊫(⫏≰11002211⇷⫏≰100102111⊦⊿))⪨≂(↥⫏≰20210122⇷⫏≰11220020)⋥≓≎(⫏≰20111211⪮%⊝⫏≰1221111∸)","cot":[{"info":"⫏≰11002211⇷⫏≰100102111=⫏≰200211222","layer":3},{"info":"⫏≰200211222⊦⊿=⫏≰-2002122211","layer":2},{"info":"∥⊫⫏≰-2002122211=⫏≰-2001","layer":1},{"info":"⫏≰20210122⇷⫏≰11220020=⫏≰100210110","layer":3},{"info":"↥⫏≰100210110=⫏≰0","layer":2},{"info":"⫏≰20111211⪮%⊝⫏≰1221111=⫏≰111110100","layer":3},{"info":"⫏≰111110100∸=⫏≰20120","layer":2},{"info":"⫏≰0⋥≓≎⫏≰20120=⫏≰112100","layer":1},{"info":"⫏≰-2001⪨≂⫏≰112100=⫏≰-1001222","layer":0}]}
{"id":593,"expression_no_base_symbol":"((⪲⇎(∥⊫$5895$))⨸⪁($2510$⪄$1549$⫡⨏(⫓⪴$2214$)))≧⫂∧(($2403$↙$1698$)⪮%⊝($2106$⫡⨏$1698$)⊭∹↮)","expression":"((⪲⇎(∥⊫⫏≰22002100))⨸⪁(⫏≰10102222⪄⫏≰2010101⫡⨏(⫓⪴⫏≰10001000)))≧⫂∧((⫏≰10022000↙⫏≰2022220)⪮%⊝(⫏≰2220000⫡⨏⫏≰2022220)⊭∹↮)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4045,"operation_count":11,"complexity_ratio":367.72727272727275,"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":5895,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2510,"base":3},"right_expr":{"type":"numeric_atoms","value":1549,"base":3}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2214,"base":3}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2403,"base":3},"right_expr":{"type":"numeric_atoms","value":1698,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2106,"base":3},"right_expr":{"type":"numeric_atoms","value":1698,"base":3}}}}},"used_operators":["Ph9nP6C5qx","g55IO6H4Gj","XPYlsWDdGa","P8v4zCKN1o","QMFrweE19q","SUmda5xLS4","eLxqMNBOBk","xNBdhnnwKq","IWmyXbctLI","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY"],"result":"⫏≰1002221012201002","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5895","layer":4},{"info":"compute unary expreesion, input=5895, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6763","layer":3},{"info":"compute unary expreesion, input=6763, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13526","layer":2},{"info":"number node, value=2510","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=2510, right_input=1549, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-373765","layer":3},{"info":"number node, value=2214","layer":4},{"info":"compute unary expreesion, input=2214, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4901796","layer":3},{"info":"compute binary expreesion, left_input=-373765, right_input=4901796, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=7935550","layer":2},{"info":"compute binary expreesion, left_input=13526, right_input=7935550, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15898152","layer":1},{"info":"number node, value=2403","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=2403, right_input=1698, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5094","layer":3},{"info":"number node, value=2106","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=1698, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14709","layer":3},{"info":"compute binary expreesion, left_input=-5094, right_input=14709, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-9872","layer":2},{"info":"compute unary expreesion, input=-9872, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-9872","layer":1},{"info":"compute binary expreesion, left_input=15898152, right_input=-9872, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=15908024","layer":0}],"base":3,"result_base":3,"text":"((⪲⇎(∥⊫⫏≰22002100))⨸⪁(⫏≰10102222⪄⫏≰2010101⫡⨏(⫓⪴⫏≰10001000)))≧⫂∧((⫏≰10022000↙⫏≰2022220)⪮%⊝(⫏≰2220000⫡⨏⫏≰2022220)⊭∹↮)=⫏≰1002221012201002","reverse_text":"⫏≰1002221012201002=((⪲⇎(∥⊫⫏≰22002100))⨸⪁(⫏≰10102222⪄⫏≰2010101⫡⨏(⫓⪴⫏≰10001000)))≧⫂∧((⫏≰10022000↙⫏≰2022220)⪮%⊝(⫏≰2220000⫡⨏⫏≰2022220)⊭∹↮)","cot":[{"info":"∥⊫⫏≰22002100=⫏≰100021111","layer":3},{"info":"⪲⇎⫏≰100021111=⫏≰200112222","layer":2},{"info":"⫏≰10102222⪄⫏≰2010101=⫏≰-200222201011","layer":3},{"info":"⫓⪴⫏≰10001000=⫏≰100020001000000","layer":3},{"info":"⫏≰-200222201011⫡⨏⫏≰100020001000000=⫏≰112221011112021","layer":2},{"info":"⫏≰200112222⨸⪁⫏≰112221011112021=⫏≰1002220201011110","layer":1},{"info":"⫏≰10022000↙⫏≰2022220=⫏≰-20222200","layer":3},{"info":"⫏≰2220000⫡⨏⫏≰2022220=⫏≰202011210","layer":3},{"info":"⫏≰-20222200⪮%⊝⫏≰202011210=⫏≰-111112122","layer":2},{"info":"⫏≰-111112122⊭∹↮=⫏≰-111112122","layer":1},{"info":"⫏≰1002220201011110≧⫂∧⫏≰-111112122=⫏≰1002221012201002","layer":0}]}
{"id":594,"expression_no_base_symbol":"⫓⪴(⫛⫱⨽(($4816$∲⫓$8159$)≫≃))","expression":"⫓⪴(⫛⫱⨽((⫏≰20121101∲⫓⫏≰102012012)≫≃))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1432,"operation_count":4,"complexity_ratio":358.0,"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":4816,"base":3},"right_expr":{"type":"numeric_atoms","value":8159,"base":3}}}}},"used_operators":["eLxqMNBOBk","DlLNRPXxWL","X99M06cbEe","i8ToyICDmI"],"dependent_operators":["9HNa5Wba9A","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4816","layer":4},{"info":"number node, value=8159","layer":4},{"info":"compute binary expreesion, left_input=4816, right_input=8159, 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 unary expreesion, input=1401, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⫓⪴(⫛⫱⨽((⫏≰20121101∲⫓⫏≰102012012)≫≃))=⫏≰0","reverse_text":"⫏≰0=⫓⪴(⫛⫱⨽((⫏≰20121101∲⫓⫏≰102012012)≫≃))","cot":[{"info":"⫏≰20121101∲⫓⫏≰102012012=⫏≰0","layer":3},{"info":"⫏≰0≫≃=⫏≰1220220","layer":2},{"info":"⫛⫱⨽⫏≰1220220=⫏≰0","layer":1},{"info":"⫓⪴⫏≰0=⫏≰0","layer":0}]}
{"id":595,"expression_no_base_symbol":"(($3203$⪘⫢$2600$)⨟⋌⩍($2058$≎⊠⪸$1750$)↬(⨞⊢$4682$≹⇙⪍$3488$))⪮%⊝(($3650$⫸⊐$5828$)⨽$5880$⨓$6517$⪒$2551$≧⫂∧$3732$⪒($3576$↛⩡⫤))","expression":"((⫏≰11101122⪘⫢⫏≰10120022)⨟⋌⩍(⫏≰2211020≎⊠⪸⫏≰2101211)↬(⨞⊢⫏≰20102102≹⇙⪍⫏≰11210012))⪮%⊝((⫏≰12000012⫸⊐⫏≰21222212)⨽⫏≰22001210⨓⫏≰22221101⪒⫏≰10111111≧⫂∧⫏≰12010020⪒(⫏≰11220110↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":40911,"operation_count":14,"complexity_ratio":2922.214285714286,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3203,"base":3},"right_expr":{"type":"numeric_atoms","value":2600,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2058,"base":3},"right_expr":{"type":"numeric_atoms","value":1750,"base":3}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4682,"base":3},"right_expr":{"type":"numeric_atoms","value":3488,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3650,"base":3},"right_expr":{"type":"numeric_atoms","value":5828,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5880,"base":3},"right_expr":{"type":"numeric_atoms","value":6517,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2551,"base":3},"right_expr":{"type":"numeric_atoms","value":3732,"base":3}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3576,"base":3}}}}},"used_operators":["IWmyXbctLI","B5M0gjZbta","rGHVDoGpnC","oacrs7FA3X","bJkvcejdHO","xUOZtlo3hN","AHs5Up7iyr","f6k1SAg4EE","8HhzD0ZcuI","mqXw5SEYmG","3ViojmjbAp","Ph9nP6C5qx","FU0Cs4j7VP"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3203","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=2600, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6282","layer":3},{"info":"number node, value=2058","layer":4},{"info":"number node, value=1750","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=1750, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=532549","layer":3},{"info":"compute binary expreesion, left_input=6282, right_input=532549, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=4682","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=4682, right_input=3488, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"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=3650","layer":4},{"info":"number node, value=5828","layer":4},{"info":"compute binary expreesion, left_input=3650, right_input=5828, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23187","layer":3},{"info":"number node, value=5880","layer":4},{"info":"number node, value=6517","layer":4},{"info":"compute binary expreesion, left_input=5880, right_input=6517, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6520","layer":3},{"info":"compute binary expreesion, left_input=23187, right_input=-6520, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1612890033","layer":2},{"info":"number node, value=2551","layer":4},{"info":"number node, value=3732","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=3732, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3259","layer":3},{"info":"number node, value=3576","layer":4},{"info":"compute unary expreesion, input=3576, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-536065","layer":3},{"info":"compute binary expreesion, left_input=3259, right_input=-536065, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=532806","layer":2},{"info":"compute binary expreesion, left_input=-1612890033, right_input=532806, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1612357227","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1612357227, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11101122⪘⫢⫏≰10120022)⨟⋌⩍(⫏≰2211020≎⊠⪸⫏≰2101211)↬(⨞⊢⫏≰20102102≹⇙⪍⫏≰11210012))⪮%⊝((⫏≰12000012⫸⊐⫏≰21222212)⨽⫏≰22001210⨓⫏≰22221101⪒⫏≰10111111≧⫂∧⫏≰12010020⪒(⫏≰11220110↛⩡⫤))=NaN","reverse_text":"NaN=((⫏≰11101122⪘⫢⫏≰10120022)⨟⋌⩍(⫏≰2211020≎⊠⪸⫏≰2101211)↬(⨞⊢⫏≰20102102≹⇙⪍⫏≰11210012))⪮%⊝((⫏≰12000012⫸⊐⫏≰21222212)⨽⫏≰22001210⨓⫏≰22221101⪒⫏≰10111111≧⫂∧⫏≰12010020⪒(⫏≰11220110↛⩡⫤))","cot":[{"info":"⫏≰11101122⪘⫢⫏≰10120022=⫏≰22121200","layer":3},{"info":"⫏≰2211020≎⊠⪸⫏≰2101211=⫏≰1000001112001","layer":3},{"info":"⫏≰22121200⨟⋌⩍⫏≰1000001112001=NaN","layer":2},{"info":"⫏≰20102102≹⇙⪍⫏≰11210012=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⫏≰12000012⫸⊐⫏≰21222212=⫏≰1011210210","layer":3},{"info":"⫏≰22001210⨓⫏≰22221101=⫏≰-22221111","layer":3},{"info":"⫏≰1011210210⨽⫏≰-22221111=⫏≰-11011101221022011220","layer":2},{"info":"⫏≰10111111≧⫂∧⫏≰12010020=⫏≰11110201","layer":3},{"info":"⫏≰11220110↛⩡⫤=⫏≰-1000020100021","layer":3},{"info":"⫏≰11110201⪒⫏≰-1000020100021=⫏≰1000001212120","layer":2},{"info":"⫏≰-11011101221022011220⪒⫏≰1000001212120=⫏≰11011100221020022100","layer":1},{"info":"NaN⪮%⊝⫏≰11011100221020022100=NaN","layer":0}]}
{"id":596,"expression_no_base_symbol":"(↯⪼(($1748$-$2781$)⫥∨⫟(⇁⨣⪵$1092$)))/$2418$⨰$2701$⨰($2785$*$2404$)↺(⊙↵-(⊥$1540$))","expression":"(↯⪼((⫏≰2101202-⫏≰10211000)⫥∨⫟(⇁⨣⪵⫏≰1111110)))/⫏≰10022120⨰⫏≰10201001⨰(⫏≰10211011*⫏≰10022001)↺(⊙↵-(⊥⫏≰2010001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2634,"operation_count":11,"complexity_ratio":239.45454545454547,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1748,"base":3},"right_expr":{"type":"numeric_atoms","value":2781,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1092,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2418,"base":3},"right_expr":{"type":"numeric_atoms","value":2701,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2785,"base":3},"right_expr":{"type":"numeric_atoms","value":2404,"base":3}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1540,"base":3}}}}},"used_operators":["XhwjNDsVaA","8jW3W4yZS5","KYD54nUTWz","rysDP5nf3Z","inkyxCbjAn","7j4O788W3g","eewbuw0ToL","9HNa5Wba9A","oWn0xqSxBt","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1748","layer":4},{"info":"number node, value=2781","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=2781, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1033","layer":3},{"info":"number node, value=1092","layer":4},{"info":"compute unary expreesion, input=1092, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1033, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=2418","layer":4},{"info":"number node, value=2701","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=2701, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-273","layer":3},{"info":"number node, value=2785","layer":4},{"info":"number node, value=2404","layer":4},{"info":"compute binary expreesion, left_input=2785, right_input=2404, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6695140","layer":3},{"info":"compute binary expreesion, left_input=-273, right_input=6695140, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6695403","layer":2},{"info":"number node, value=1540","layer":4},{"info":"compute unary expreesion, input=1540, op_id = Q3PJZHRvZv, 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=-6695403, 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=-21, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↯⪼((⫏≰2101202-⫏≰10211000)⫥∨⫟(⇁⨣⪵⫏≰1111110)))/⫏≰10022120⨰⫏≰10201001⨰(⫏≰10211011*⫏≰10022001)↺(⊙↵-(⊥⫏≰2010001))=NaN","reverse_text":"NaN=(↯⪼((⫏≰2101202-⫏≰10211000)⫥∨⫟(⇁⨣⪵⫏≰1111110)))/⫏≰10022120⨰⫏≰10201001⨰(⫏≰10211011*⫏≰10022001)↺(⊙↵-(⊥⫏≰2010001))","cot":[{"info":"⫏≰2101202-⫏≰10211000=⫏≰-1102021","layer":3},{"info":"⇁⨣⪵⫏≰1111110=NaN","layer":3},{"info":"⫏≰-1102021⫥∨⫟NaN=NaN","layer":2},{"info":"↯⪼NaN=⫏≰-210","layer":1},{"info":"⫏≰10022120⨰⫏≰10201001=⫏≰-101010","layer":3},{"info":"⫏≰10211011*⫏≰10022001=⫏≰110121011000011","layer":3},{"info":"⫏≰-101010⨰⫏≰110121011000011=⫏≰-110121011100220","layer":2},{"info":"⊥⫏≰2010001=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⫏≰-110121011100220↺NaN=NaN","layer":1},{"info":"⫏≰-210/NaN=NaN","layer":0}]}
{"id":597,"expression_no_base_symbol":"(($5026$⋥≓≎$1634$)∀⇚≩($2906$⨰$3925$)↪⪝)∲⫓(($2419$⊠≄⫣)⫸⊐$1058$⪮%⊝$4977$)↬($8468$⪛$5297$⨎($3247$⨵⪆$3716$))","expression":"((⫏≰20220011⋥≓≎⫏≰2020112)∀⇚≩(⫏≰10222122⨰⫏≰12101101)↪⪝)∲⫓((⫏≰10022121⊠≄⫣)⫸⊐⫏≰1110012⪮%⊝⫏≰20211100)↬(⫏≰102121122⪛⫏≰21021012⨎(⫏≰11110021⨵⪆⫏≰12002122))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12114,"operation_count":12,"complexity_ratio":1009.5,"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":5026,"base":3},"right_expr":{"type":"numeric_atoms","value":1634,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2906,"base":3},"right_expr":{"type":"numeric_atoms","value":3925,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2419,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1058,"base":3},"right_expr":{"type":"numeric_atoms","value":4977,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8468,"base":3},"right_expr":{"type":"numeric_atoms","value":5297,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3247,"base":3},"right_expr":{"type":"numeric_atoms","value":3716,"base":3}}}}},"used_operators":["i8ToyICDmI","l07mrZUIn9","LRNGc0VcxI","Qy55tPpLXF","eewbuw0ToL","B5M0gjZbta","mqXw5SEYmG","DIvbN7qnHd","IWmyXbctLI","rJVOvQCfKK","uFcxV4UQCh","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=5026","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=5026, right_input=1634, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1725","layer":3},{"info":"number node, value=2906","layer":4},{"info":"number node, value=3925","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=3925, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1009","layer":3},{"info":"compute binary expreesion, left_input=-1725, right_input=-1009, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"number node, value=2419","layer":4},{"info":"compute unary expreesion, input=2419, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=4977","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=4977, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2432","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2432, 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=8468","layer":4},{"info":"number node, value=5297","layer":4},{"info":"compute binary expreesion, left_input=8468, right_input=5297, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3171","layer":3},{"info":"number node, value=3247","layer":4},{"info":"number node, value=3716","layer":4},{"info":"compute binary expreesion, left_input=3247, right_input=3716, 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=3171, 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":"compute binary expreesion, left_input=0, right_input=160, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20220011⋥≓≎⫏≰2020112)∀⇚≩(⫏≰10222122⨰⫏≰12101101)↪⪝)∲⫓((⫏≰10022121⊠≄⫣)⫸⊐⫏≰1110012⪮%⊝⫏≰20211100)↬(⫏≰102121122⪛⫏≰21021012⨎(⫏≰11110021⨵⪆⫏≰12002122))=NaN","reverse_text":"NaN=((⫏≰20220011⋥≓≎⫏≰2020112)∀⇚≩(⫏≰10222122⨰⫏≰12101101)↪⪝)∲⫓((⫏≰10022121⊠≄⫣)⫸⊐⫏≰1110012⪮%⊝⫏≰20211100)↬(⫏≰102121122⪛⫏≰21021012⨎(⫏≰11110021⨵⪆⫏≰12002122))","cot":[{"info":"⫏≰20220011⋥≓≎⫏≰2020112=⫏≰-2100220","layer":3},{"info":"⫏≰10222122⨰⫏≰12101101=⫏≰-1101101","layer":3},{"info":"⫏≰-2100220∀⇚≩⫏≰-1101101=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⫏≰10022121⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰1110012⪮%⊝⫏≰20211100=⫏≰10100002","layer":3},{"info":"⫏≰0⫸⊐⫏≰10100002=⫏≰0","layer":2},{"info":"⫏≰102121122⪛⫏≰21021012=⫏≰11100110","layer":3},{"info":"⫏≰11110021⨵⪆⫏≰12002122=⫏≰12221","layer":3},{"info":"⫏≰11100110⨎⫏≰12221=⫏≰12221","layer":2},{"info":"⫏≰0↬⫏≰12221=⫏≰12221","layer":1},{"info":"NaN∲⫓⫏≰12221=NaN","layer":0}]}
{"id":598,"expression_no_base_symbol":"⨈⫕(($2927$⇋≉)⨸⪁$1949$⪘⫢$4407$+(⊥$4965$)⊴($1738$*$2539$))","expression":"⨈⫕((⫏≰11000102⇋≉)⨸⪁⫏≰2200012⪘⫢⫏≰20001020+(⊥⫏≰20210220)⊴(⫏≰2101101*⫏≰10111001))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2154,"operation_count":8,"complexity_ratio":269.25,"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":2927,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1949,"base":3},"right_expr":{"type":"numeric_atoms","value":4407,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4965,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1738,"base":3},"right_expr":{"type":"numeric_atoms","value":2539,"base":3}}}}},"used_operators":["megm06wKyl","W4YGzv6Whe","g55IO6H4Gj","XIabStNQrY","oacrs7FA3X","Nsiff2A1zJ","Q3PJZHRvZv","9HNa5Wba9A"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","fu6greOZ01","W4YGzv6Whe"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2927","layer":4},{"info":"compute unary expreesion, input=2927, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5756","layer":3},{"info":"number node, value=1949","layer":4},{"info":"number node, value=4407","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=4407, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3774","layer":3},{"info":"compute binary expreesion, left_input=5756, right_input=3774, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19060","layer":2},{"info":"number node, value=4965","layer":4},{"info":"compute unary expreesion, input=4965, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1738","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=1738, right_input=2539, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4412782","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4412782, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19060, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":3,"result_base":3,"text":"⨈⫕((⫏≰11000102⇋≉)⨸⪁⫏≰2200012⪘⫢⫏≰20001020+(⊥⫏≰20210220)⊴(⫏≰2101101*⫏≰10111001))=⫏≰-210","reverse_text":"⫏≰-210=⨈⫕((⫏≰11000102⇋≉)⨸⪁⫏≰2200012⪘⫢⫏≰20001020+(⊥⫏≰20210220)⊴(⫏≰2101101*⫏≰10111001))","cot":[{"info":"⫏≰11000102⇋≉=⫏≰21220012","layer":3},{"info":"⫏≰2200012⪘⫢⫏≰20001020=⫏≰12011210","layer":3},{"info":"⫏≰21220012⨸⪁⫏≰12011210=⫏≰222010221","layer":2},{"info":"⊥⫏≰20210220=NaN","layer":3},{"info":"⫏≰2101101*⫏≰10111001=⫏≰22022012012101","layer":3},{"info":"NaN⊴⫏≰22022012012101=NaN","layer":2},{"info":"⫏≰222010221+NaN=NaN","layer":1},{"info":"⨈⫕NaN=⫏≰-210","layer":0}]}
{"id":599,"expression_no_base_symbol":"(($4278$⫩⊇)↺(⨰⫟⨤$1767$))⪢($7813$⪄$2064$∲⫓$3137$⊴$1164$)↙((⪲⇎($3659$↙$5651$))⩨($1182$⨵⪆$1664$)↙($2127$⋷$1766$))","expression":"((⫏≰12212110⫩⊇)↺(⨰⫟⨤⫏≰2102110))⪢(⫏≰101201101⪄⫏≰2211110∲⫓⫏≰11022012⊴⫏≰1121010)↙((⪲⇎(⫏≰12000112↙⫏≰21202022))⩨(⫏≰1121210⨵⪆⫏≰2021122)↙(⫏≰2220210⋷⫏≰2102102))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20170,"operation_count":14,"complexity_ratio":1440.7142857142858,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4278,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1767,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7813,"base":3},"right_expr":{"type":"numeric_atoms","value":2064,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3137,"base":3},"right_expr":{"type":"numeric_atoms","value":1164,"base":3}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3659,"base":3},"right_expr":{"type":"numeric_atoms","value":5651,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1182,"base":3},"right_expr":{"type":"numeric_atoms","value":1664,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2127,"base":3},"right_expr":{"type":"numeric_atoms","value":1766,"base":3}}}}},"used_operators":["yyfyN0ffXY","dWAJyo7jo9","7j4O788W3g","BjRHVeLaeN","Tw270M8GLb","i8ToyICDmI","SUmda5xLS4","Nsiff2A1zJ","2DlMacCsIx","XPYlsWDdGa","2DQ55sFlQl","23Mk6UjR3U"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4278","layer":4},{"info":"compute unary expreesion, input=4278, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4236","layer":3},{"info":"number node, value=1767","layer":4},{"info":"compute unary expreesion, input=1767, 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=-4236, 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=7813","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=7813, right_input=2064, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1160669","layer":3},{"info":"number node, value=3137","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=3137, right_input=1164, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1160669, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3659","layer":4},{"info":"number node, value=5651","layer":4},{"info":"compute binary expreesion, left_input=3659, right_input=5651, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16953","layer":3},{"info":"compute unary expreesion, input=-16953, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-33906","layer":2},{"info":"number node, value=1182","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=1664, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2127","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=1766, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1405, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4215","layer":2},{"info":"compute binary expreesion, left_input=-33906, right_input=-4215, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12212110⫩⊇)↺(⨰⫟⨤⫏≰2102110))⪢(⫏≰101201101⪄⫏≰2211110∲⫓⫏≰11022012⊴⫏≰1121010)↙((⪲⇎(⫏≰12000112↙⫏≰21202022))⩨(⫏≰1121210⨵⪆⫏≰2021122)↙(⫏≰2220210⋷⫏≰2102102))=NaN","reverse_text":"NaN=((⫏≰12212110⫩⊇)↺(⨰⫟⨤⫏≰2102110))⪢(⫏≰101201101⪄⫏≰2211110∲⫓⫏≰11022012⊴⫏≰1121010)↙((⪲⇎(⫏≰12000112↙⫏≰21202022))⩨(⫏≰1121210⨵⪆⫏≰2021122)↙(⫏≰2220210⋷⫏≰2102102))","cot":[{"info":"⫏≰12212110⫩⊇=⫏≰-12210220","layer":3},{"info":"⨰⫟⨤⫏≰2102110=NaN","layer":3},{"info":"⫏≰-12210220↺NaN=NaN","layer":2},{"info":"⫏≰101201101⪄⫏≰2211110=⫏≰-2011222010202","layer":3},{"info":"⫏≰11022012⊴⫏≰1121010=NaN","layer":3},{"info":"⫏≰-2011222010202∲⫓NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⫏≰12000112↙⫏≰21202022=⫏≰-212020220","layer":3},{"info":"⪲⇎⫏≰-212020220=⫏≰-1201111210","layer":2},{"info":"⫏≰1121210⨵⪆⫏≰2021122=⫏≰12221","layer":3},{"info":"⫏≰2220210⋷⫏≰2102102=⫏≰1221001","layer":3},{"info":"⫏≰12221↙⫏≰1221001=⫏≰-12210010","layer":2},{"info":"⫏≰-1201111210⩨⫏≰-12210010=⫏≰0","layer":1},{"info":"NaN↙⫏≰0=NaN","layer":0}]}
{"id":600,"expression_no_base_symbol":"($1746$⋥≓≎$1458$)∑⇟⊟$3509$⨟⋌⩍$2188$⩷∴($5828$⪄$2004$∲⫓$1399$⊉≛↸$1164$)⋳⪒(∂($1753$∑⇟⊟$1850$⊭↱$1713$⪢$2662$))","expression":"(⫏≰2101200⋥≓≎⫏≰2000000)∑⇟⊟⫏≰11210222⨟⋌⩍⫏≰10000001⩷∴(⫏≰21222212⪄⫏≰2202020∲⫓⫏≰1220211⊉≛↸⫏≰1121010)⋳⪒(∂(⫏≰2101221∑⇟⊟⫏≰2112112⊭↱⫏≰2100110⪢⫏≰10122121))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2788,"operation_count":12,"complexity_ratio":232.33333333333334,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1746,"base":3},"right_expr":{"type":"numeric_atoms","value":1458,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3509,"base":3},"right_expr":{"type":"numeric_atoms","value":2188,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5828,"base":3},"right_expr":{"type":"numeric_atoms","value":2004,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1399,"base":3},"right_expr":{"type":"numeric_atoms","value":1164,"base":3}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1753,"base":3},"right_expr":{"type":"numeric_atoms","value":1850,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1713,"base":3},"right_expr":{"type":"numeric_atoms","value":2662,"base":3}}}}},"used_operators":["12rbrZMWeM","9FxExcQeMw","U7g4x0WXJJ","Qy55tPpLXF","rGHVDoGpnC","i8ToyICDmI","SUmda5xLS4","DZ8iAZOCBD","Uaa54Peajs","COABgblf1C","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1746","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=1458, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1203","layer":3},{"info":"number node, value=3509","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=3509, right_input=2188, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1203, 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=5828","layer":4},{"info":"number node, value=2004","layer":4},{"info":"compute binary expreesion, left_input=5828, right_input=2004, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-866649","layer":3},{"info":"number node, value=1399","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=1164, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2798","layer":3},{"info":"compute binary expreesion, left_input=-866649, right_input=2798, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1753","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=1850, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1713","layer":4},{"info":"number node, value=2662","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=2662, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2101200⋥≓≎⫏≰2000000)∑⇟⊟⫏≰11210222⨟⋌⩍⫏≰10000001⩷∴(⫏≰21222212⪄⫏≰2202020∲⫓⫏≰1220211⊉≛↸⫏≰1121010)⋳⪒(∂(⫏≰2101221∑⇟⊟⫏≰2112112⊭↱⫏≰2100110⪢⫏≰10122121))=NaN","reverse_text":"NaN=(⫏≰2101200⋥≓≎⫏≰2000000)∑⇟⊟⫏≰11210222⨟⋌⩍⫏≰10000001⩷∴(⫏≰21222212⪄⫏≰2202020∲⫓⫏≰1220211⊉≛↸⫏≰1121010)⋳⪒(∂(⫏≰2101221∑⇟⊟⫏≰2112112⊭↱⫏≰2100110⪢⫏≰10122121))","cot":[{"info":"⫏≰2101200⋥≓≎⫏≰2000000=⫏≰1122120","layer":3},{"info":"⫏≰11210222⨟⋌⩍⫏≰10000001=NaN","layer":3},{"info":"⫏≰1122120∑⇟⊟NaN=NaN","layer":2},{"info":"⫏≰21222212⪄⫏≰2202020=⫏≰-1122000211010","layer":3},{"info":"⫏≰1220211⊉≛↸⫏≰1121010=⫏≰10211122","layer":3},{"info":"⫏≰-1122000211010∲⫓⫏≰10211122=⫏≰0","layer":2},{"info":"NaN⩷∴⫏≰0=NaN","layer":1},{"info":"⫏≰2101221∑⇟⊟⫏≰2112112=NaN","layer":3},{"info":"⫏≰2100110⪢⫏≰10122121=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":601,"expression_no_base_symbol":"($1855$⨸⪁$2321$⨸⪁$2017$⊴$3305$)↬(⨰⫟⨤($1066$%$5029$))⨰($6011$⨪↰⇹$5673$⋓($7198$⫥∨⫟$6748$)⫥∨⫟((↥$2730$)⪨≂$3743$⨸⪁$1692$))","expression":"(⫏≰2112201⨸⪁⫏≰10011222⨸⪁⫏≰2202201⊴⫏≰11112102)↬(⨰⫟⨤(⫏≰1110111%⫏≰20220021))⨰(⫏≰22020122⨪↰⇹⫏≰21210010⋓(⫏≰100212121⫥∨⫟⫏≰100020221)⫥∨⫟((↥⫏≰10202010)⪨≂⫏≰12010122⨸⪁⫏≰2022200))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13142,"operation_count":14,"complexity_ratio":938.7142857142857,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1855,"base":3},"right_expr":{"type":"numeric_atoms","value":2321,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2017,"base":3},"right_expr":{"type":"numeric_atoms","value":3305,"base":3}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1066,"base":3},"right_expr":{"type":"numeric_atoms","value":5029,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6011,"base":3},"right_expr":{"type":"numeric_atoms","value":5673,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7198,"base":3},"right_expr":{"type":"numeric_atoms","value":6748,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2730,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3743,"base":3},"right_expr":{"type":"numeric_atoms","value":1692,"base":3}}}}},"used_operators":["eewbuw0ToL","B5M0gjZbta","g55IO6H4Gj","Nsiff2A1zJ","Tw270M8GLb","k8jYdgA6NY","KYD54nUTWz","T2fj7uvVaJ","tmPS8pqC7x","sdazOOVcIp","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1855","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=2321, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8352","layer":3},{"info":"number node, value=2017","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=2017, right_input=3305, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8352, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1066","layer":4},{"info":"number node, value=5029","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=5029, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1066","layer":3},{"info":"compute unary expreesion, input=1066, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6011","layer":4},{"info":"number node, value=5673","layer":4},{"info":"compute binary expreesion, left_input=6011, right_input=5673, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6011","layer":3},{"info":"number node, value=7198","layer":4},{"info":"number node, value=6748","layer":4},{"info":"compute binary expreesion, left_input=7198, right_input=6748, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6011, 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=2730","layer":4},{"info":"compute unary expreesion, input=2730, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=27","layer":3},{"info":"number node, value=3743","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=3743, right_input=1692, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10870","layer":3},{"info":"compute binary expreesion, left_input=27, right_input=10870, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-21584","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21584, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2112201⨸⪁⫏≰10011222⨸⪁⫏≰2202201⊴⫏≰11112102)↬(⨰⫟⨤(⫏≰1110111%⫏≰20220021))⨰(⫏≰22020122⨪↰⇹⫏≰21210010⋓(⫏≰100212121⫥∨⫟⫏≰100020221)⫥∨⫟((↥⫏≰10202010)⪨≂⫏≰12010122⨸⪁⫏≰2022200))=NaN","reverse_text":"NaN=(⫏≰2112201⨸⪁⫏≰10011222⨸⪁⫏≰2202201⊴⫏≰11112102)↬(⨰⫟⨤(⫏≰1110111%⫏≰20220021))⨰(⫏≰22020122⨪↰⇹⫏≰21210010⋓(⫏≰100212121⫥∨⫟⫏≰100020221)⫥∨⫟((↥⫏≰10202010)⪨≂⫏≰12010122⨸⪁⫏≰2022200))","cot":[{"info":"⫏≰2112201⨸⪁⫏≰10011222=⫏≰102110100","layer":3},{"info":"⫏≰2202201⊴⫏≰11112102=NaN","layer":3},{"info":"⫏≰102110100⨸⪁NaN=NaN","layer":2},{"info":"⫏≰1110111%⫏≰20220021=⫏≰1110111","layer":3},{"info":"⨰⫟⨤⫏≰1110111=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⫏≰22020122⨪↰⇹⫏≰21210010=⫏≰22020122","layer":3},{"info":"⫏≰100212121⫥∨⫟⫏≰100020221=NaN","layer":3},{"info":"⫏≰22020122⋓NaN=NaN","layer":2},{"info":"↥⫏≰10202010=⫏≰1000","layer":3},{"info":"⫏≰12010122⨸⪁⫏≰2022200=⫏≰112220121","layer":3},{"info":"⫏≰1000⪨≂⫏≰112220121=⫏≰-1002121102","layer":2},{"info":"NaN⫥∨⫟⫏≰-1002121102=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":602,"expression_no_base_symbol":"⊄⩳↩((($2980$⫸⊐$1026$)⪠⩆⊳)↙$4595$↬$3056$⨓($3420$⊭∹↮))","expression":"⊄⩳↩(((⫏≰11002101⫸⊐⫏≰1102000)⪠⩆⊳)↙⫏≰20022012↬⫏≰11012012⨓(⫏≰11200200⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6887,"operation_count":7,"complexity_ratio":983.8571428571429,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2980,"base":3},"right_expr":{"type":"numeric_atoms","value":1026,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4595,"base":3},"right_expr":{"type":"numeric_atoms","value":3056,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3420,"base":3}}}}},"used_operators":["8w2t5hMYqp","yyfyN0ffXY","JLbD19bQDL","mqXw5SEYmG","3ViojmjbAp","B5M0gjZbta","xNBdhnnwKq"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2980","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=1026, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3979","layer":3},{"info":"compute unary expreesion, input=3979, 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=4595","layer":4},{"info":"number node, value=3056","layer":4},{"info":"compute binary expreesion, left_input=4595, right_input=3056, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3420","layer":4},{"info":"compute unary expreesion, input=3420, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6840","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6840, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6843","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-6843, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⊄⩳↩(((⫏≰11002101⫸⊐⫏≰1102000)⪠⩆⊳)↙⫏≰20022012↬⫏≰11012012⨓(⫏≰11200200⊭∹↮))=⫏≰0","reverse_text":"⫏≰0=⊄⩳↩(((⫏≰11002101⫸⊐⫏≰1102000)⪠⩆⊳)↙⫏≰20022012↬⫏≰11012012⨓(⫏≰11200200⊭∹↮))","cot":[{"info":"⫏≰11002101⫸⊐⫏≰1102000=⫏≰12110101","layer":3},{"info":"⫏≰12110101⪠⩆⊳=⫏≰0","layer":2},{"info":"⫏≰20022012↬⫏≰11012012=NaN","layer":3},{"info":"⫏≰11200200⊭∹↮=⫏≰100101100","layer":3},{"info":"NaN⨓⫏≰100101100=⫏≰-100101110","layer":2},{"info":"⫏≰0↙⫏≰-100101110=⫏≰0","layer":1},{"info":"⊄⩳↩⫏≰0=⫏≰0","layer":0}]}
{"id":603,"expression_no_base_symbol":"((⫓⪴$1072$⪘⫢$2971$)∼(($2610$∸)↙($1219$⩨$4163$)))⊴((⊙↵-($2102$⩚⊴⇥$1966$))⊉≛↸(⨵≀≌($6454$∲⫓$1691$)))","expression":"((⫓⪴⫏≰1110201⪘⫢⫏≰11002001)∼((⫏≰10120200∸)↙(⫏≰1200011⩨⫏≰12201012)))⊴((⊙↵-(⫏≰2212212⩚⊴⇥⫏≰2200211))⊉≛↸(⨵≀≌(⫏≰22212001∲⫓⫏≰2022122)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":86997,"operation_count":12,"complexity_ratio":7249.75,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1072,"base":3},"right_expr":{"type":"numeric_atoms","value":2971,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2610,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1219,"base":3},"right_expr":{"type":"numeric_atoms","value":4163,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2102,"base":3},"right_expr":{"type":"numeric_atoms","value":1966,"base":3}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6454,"base":3},"right_expr":{"type":"numeric_atoms","value":1691,"base":3}}}}},"used_operators":["Nsiff2A1zJ","DyGG3AbaNP","eLxqMNBOBk","oacrs7FA3X","yyfyN0ffXY","o20kRiQErp","2DlMacCsIx","DZ8iAZOCBD","oWn0xqSxBt","NTOWxs364D","srAu1WTS94","i8ToyICDmI"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1072","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=2971, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2020","layer":3},{"info":"compute unary expreesion, input=2020, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4080400","layer":2},{"info":"number node, value=2610","layer":4},{"info":"compute unary expreesion, input=2610, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1219","layer":4},{"info":"number node, value=4163","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=4163, 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=177, right_input=-9, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-27","layer":2},{"info":"compute binary expreesion, left_input=4080400, right_input=-27, 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=2102","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=2102, right_input=1966, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4189","layer":3},{"info":"compute unary expreesion, input=-4189, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=6454","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=6454, right_input=1691, 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 = 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=196, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=392","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=392, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫓⪴⫏≰1110201⪘⫢⫏≰11002001)∼((⫏≰10120200∸)↙(⫏≰1200011⩨⫏≰12201012)))⊴((⊙↵-(⫏≰2212212⩚⊴⇥⫏≰2200211))⊉≛↸(⨵≀≌(⫏≰22212001∲⫓⫏≰2022122)))=NaN","reverse_text":"NaN=((⫓⪴⫏≰1110201⪘⫢⫏≰11002001)∼((⫏≰10120200∸)↙(⫏≰1200011⩨⫏≰12201012)))⊴((⊙↵-(⫏≰2212212⩚⊴⇥⫏≰2200211))⊉≛↸(⨵≀≌(⫏≰22212001∲⫓⫏≰2022122)))","cot":[{"info":"⫏≰1110201⪘⫢⫏≰11002001=⫏≰2202211","layer":3},{"info":"⫓⪴⫏≰2202211=⫏≰21200022020221","layer":2},{"info":"⫏≰10120200∸=⫏≰20120","layer":3},{"info":"⫏≰1200011⩨⫏≰12201012=⫏≰-100","layer":3},{"info":"⫏≰20120↙⫏≰-100=⫏≰-1000","layer":2},{"info":"⫏≰21200022020221∼⫏≰-1000=⫏≰0","layer":1},{"info":"⫏≰2212212⩚⊴⇥⫏≰2200211=⫏≰-12202011","layer":3},{"info":"⊙↵-⫏≰-12202011=⫏≰21021","layer":2},{"info":"⫏≰22212001∲⫓⫏≰2022122=⫏≰0","layer":3},{"info":"⨵≀≌⫏≰0=⫏≰0","layer":2},{"info":"⫏≰21021⊉≛↸⫏≰0=⫏≰112112","layer":1},{"info":"⫏≰0⊴⫏≰112112=NaN","layer":0}]}
{"id":604,"expression_no_base_symbol":"($1361$⨪↰⇹$1745$≧⫂∧$4308$⪮%⊝$8659$-$1041$⇷$1025$≭(≉$3219$))⨪↰⇹(⊙↵-(⨈⫕$5866$↺$1206$))","expression":"(⫏≰1212102⨪↰⇹⫏≰2101122≧⫂∧⫏≰12220120⪮%⊝⫏≰102212201-⫏≰1102120⇷⫏≰1101222≭(≉⫏≰11102020))⨪↰⇹(⊙↵-(⨈⫕⫏≰22001021↺⫏≰1122200))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16391,"operation_count":11,"complexity_ratio":1490.090909090909,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1361,"base":3},"right_expr":{"type":"numeric_atoms","value":1745,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4308,"base":3},"right_expr":{"type":"numeric_atoms","value":8659,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1041,"base":3},"right_expr":{"type":"numeric_atoms","value":1025,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3219,"base":3}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5866,"base":3},"right_expr":{"type":"numeric_atoms","value":1206,"base":3}}}}},"used_operators":["tmPS8pqC7x","rysDP5nf3Z","Ph9nP6C5qx","IWmyXbctLI","rxpJgHHUmx","mp7IySMOzn","e1ybzncUwg","oWn0xqSxBt","megm06wKyl","7j4O788W3g"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1361","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=1745, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1361","layer":3},{"info":"number node, value=4308","layer":4},{"info":"number node, value=8659","layer":4},{"info":"compute binary expreesion, left_input=4308, right_input=8659, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8932","layer":3},{"info":"compute binary expreesion, left_input=1361, right_input=8932, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8459","layer":2},{"info":"number node, value=1041","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1025, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2050","layer":3},{"info":"number node, value=3219","layer":4},{"info":"compute unary expreesion, input=3219, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3750","layer":3},{"info":"compute binary expreesion, left_input=2050, right_input=3750, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=8459, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5866","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=5866, right_input=1206, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1206","layer":3},{"info":"compute unary expreesion, input=1206, 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":"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":3,"result_base":3,"text":"(⫏≰1212102⨪↰⇹⫏≰2101122≧⫂∧⫏≰12220120⪮%⊝⫏≰102212201-⫏≰1102120⇷⫏≰1101222≭(≉⫏≰11102020))⨪↰⇹(⊙↵-(⨈⫕⫏≰22001021↺⫏≰1122200))=NaN","reverse_text":"NaN=(⫏≰1212102⨪↰⇹⫏≰2101122≧⫂∧⫏≰12220120⪮%⊝⫏≰102212201-⫏≰1102120⇷⫏≰1101222≭(≉⫏≰11102020))⨪↰⇹(⊙↵-(⨈⫕⫏≰22001021↺⫏≰1122200))","cot":[{"info":"⫏≰1212102⨪↰⇹⫏≰2101122=⫏≰1212102","layer":3},{"info":"⫏≰12220120⪮%⊝⫏≰102212201=⫏≰110020211","layer":3},{"info":"⫏≰1212102≧⫂∧⫏≰110020211=⫏≰102121022","layer":2},{"info":"⫏≰1102120⇷⫏≰1101222=⫏≰2210221","layer":3},{"info":"≉⫏≰11102020=⫏≰12010220","layer":3},{"info":"⫏≰2210221≭⫏≰12010220=NaN","layer":2},{"info":"⫏≰102121022-NaN=NaN","layer":1},{"info":"⫏≰22001021↺⫏≰1122200=⫏≰1122200","layer":3},{"info":"⨈⫕⫏≰1122200=⫏≰-210","layer":2},{"info":"⊙↵-⫏≰-210=⫏≰0","layer":1},{"info":"NaN⨪↰⇹⫏≰0=NaN","layer":0}]}
{"id":605,"expression_no_base_symbol":"((($1076$⫩⊇)⩠)⩤)⇷(⊄⩳↩((≤/$2388$)⨎($3197$⩨$4366$)))","expression":"(((⫏≰1110212⫩⊇)⩠)⩤)⇷(⊄⩳↩((≤/⫏≰10021110)⨎(⫏≰11101102⩨⫏≰12222201)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":60865,"operation_count":8,"complexity_ratio":7608.125,"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":1076,"base":3}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2388,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3197,"base":3},"right_expr":{"type":"numeric_atoms","value":4366,"base":3}}}}},"used_operators":["mp7IySMOzn","Z2TMIBDE3Q","sJAwomhLZr","BjRHVeLaeN","8w2t5hMYqp","rJVOvQCfKK","eLAdDNolq6","2DlMacCsIx"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫏≰200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1076","layer":4},{"info":"compute unary expreesion, input=1076, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1034","layer":3},{"info":"compute unary expreesion, input=-1034, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=4345","layer":2},{"info":"compute unary expreesion, input=4345, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4345","layer":1},{"info":"number node, value=2388","layer":4},{"info":"compute unary expreesion, input=2388, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1904","layer":3},{"info":"number node, value=3197","layer":4},{"info":"number node, value=4366","layer":4},{"info":"compute binary expreesion, left_input=3197, right_input=4366, 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=-1904, right_input=-3, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3","layer":2},{"info":"compute unary expreesion, input=-3, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=-4345, right_input=9, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=18","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1110212⫩⊇)⩠)⩤)⇷(⊄⩳↩((≤/⫏≰10021110)⨎(⫏≰11101102⩨⫏≰12222201)))=⫏≰200","reverse_text":"⫏≰200=(((⫏≰1110212⫩⊇)⩠)⩤)⇷(⊄⩳↩((≤/⫏≰10021110)⨎(⫏≰11101102⩨⫏≰12222201)))","cot":[{"info":"⫏≰1110212⫩⊇=⫏≰-1102022","layer":3},{"info":"⫏≰-1102022⩠=⫏≰12221221","layer":2},{"info":"⫏≰12221221⩤=⫏≰-12221221","layer":1},{"info":"≤/⫏≰10021110=⫏≰-2121112","layer":3},{"info":"⫏≰11101102⩨⫏≰12222201=⫏≰-10","layer":3},{"info":"⫏≰-2121112⨎⫏≰-10=⫏≰-10","layer":2},{"info":"⊄⩳↩⫏≰-10=⫏≰100","layer":1},{"info":"⫏≰-12221221⇷⫏≰100=⫏≰200","layer":0}]}
{"id":606,"expression_no_base_symbol":"+⊝⨔(↥(($1613$↺$1246$)⊭∹↮))","expression":"+⊝⨔(↥((⫏≰2012202↺⫏≰1201011)⊭∹↮))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":76,"operation_count":4,"complexity_ratio":19.0,"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":1613,"base":3},"right_expr":{"type":"numeric_atoms","value":1246,"base":3}}}}},"used_operators":["DhbWaqg5eL","A8NUZmVepG","xNBdhnnwKq","7j4O788W3g"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1613","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=1613, right_input=1246, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1246","layer":3},{"info":"compute unary expreesion, input=1246, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2492","layer":2},{"info":"compute unary expreesion, input=2492, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":1},{"info":"compute unary expreesion, input=44, 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":3,"result_base":3,"text":"+⊝⨔(↥((⫏≰2012202↺⫏≰1201011)⊭∹↮))=⫏≰2002101","reverse_text":"⫏≰2002101=+⊝⨔(↥((⫏≰2012202↺⫏≰1201011)⊭∹↮))","cot":[{"info":"⫏≰2012202↺⫏≰1201011=⫏≰1201011","layer":3},{"info":"⫏≰1201011⊭∹↮=⫏≰10102022","layer":2},{"info":"↥⫏≰10102022=⫏≰1122","layer":1},{"info":"+⊝⨔⫏≰1122=⫏≰2002101","layer":0}]}
{"id":607,"expression_no_base_symbol":"≉(↽≂(⨑⩽⪐($1263$⊉≛↸$1955$)))","expression":"≉(↽≂(⨑⩽⪐(⫏≰1201210⊉≛↸⫏≰2200102)))","highest_n_order":1,"priority_hierarchical_complexity":3,"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":1263,"base":3},"right_expr":{"type":"numeric_atoms","value":1955,"base":3}}}}},"used_operators":["e1ybzncUwg","u6S6b8DprG","AF7qkfDlqP","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰20220120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1263","layer":4},{"info":"number node, value=1955","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=1955, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2526","layer":3},{"info":"compute unary expreesion, input=2526, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2253","layer":2},{"info":"compute unary expreesion, input=-2253, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=4506","layer":1},{"info":"compute unary expreesion, input=4506, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5037","layer":0}],"base":3,"result_base":3,"text":"≉(↽≂(⨑⩽⪐(⫏≰1201210⊉≛↸⫏≰2200102)))=⫏≰20220120","reverse_text":"⫏≰20220120=≉(↽≂(⨑⩽⪐(⫏≰1201210⊉≛↸⫏≰2200102)))","cot":[{"info":"⫏≰1201210⊉≛↸⫏≰2200102=⫏≰10110120","layer":3},{"info":"⨑⩽⪐⫏≰10110120=⫏≰-10002110","layer":2},{"info":"↽≂⫏≰-10002110=⫏≰20011220","layer":1},{"info":"≉⫏≰20011220=⫏≰20220120","layer":0}]}
{"id":608,"expression_no_base_symbol":"(≉($5559$⩨$5834$)≹⇙⪍($1694$↬$6116$))⊭↱($3394$∼$1332$⊪)⋳⪒(⪝⪂⫅($1553$*$1093$))","expression":"(≉(⫏≰21121220⩨⫏≰22000002)≹⇙⪍(⫏≰2022202↬⫏≰22101112))⊭↱(⫏≰11122201∼⫏≰1211100⊪)⋳⪒(⪝⪂⫅(⫏≰2010112*⫏≰1111111))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1344,"operation_count":10,"complexity_ratio":134.4,"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":5559,"base":3},"right_expr":{"type":"numeric_atoms","value":5834,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1694,"base":3},"right_expr":{"type":"numeric_atoms","value":6116,"base":3}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3394,"base":3},"right_expr":{"type":"numeric_atoms","value":1332,"base":3}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1553,"base":3},"right_expr":{"type":"numeric_atoms","value":1093,"base":3}}}}},"used_operators":["COABgblf1C","e1ybzncUwg","AHs5Up7iyr","2DlMacCsIx","B5M0gjZbta","12rbrZMWeM","zVYPLywUTj","DyGG3AbaNP","XTarYq4gQB","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5559","layer":4},{"info":"number node, value=5834","layer":4},{"info":"compute binary expreesion, left_input=5559, right_input=5834, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1694","layer":4},{"info":"number node, value=6116","layer":4},{"info":"compute binary expreesion, left_input=1694, right_input=6116, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-3, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=3394","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=3394, right_input=1332, 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 = 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=1553","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=1093, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1697429","layer":3},{"info":"compute unary expreesion, input=1697429, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-249522063","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-249522063, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≉(⫏≰21121220⩨⫏≰22000002)≹⇙⪍(⫏≰2022202↬⫏≰22101112))⊭↱(⫏≰11122201∼⫏≰1211100⊪)⋳⪒(⪝⪂⫅(⫏≰2010112*⫏≰1111111))=NaN","reverse_text":"NaN=(≉(⫏≰21121220⩨⫏≰22000002)≹⇙⪍(⫏≰2022202↬⫏≰22101112))⊭↱(⫏≰11122201∼⫏≰1211100⊪)⋳⪒(⪝⪂⫅(⫏≰2010112*⫏≰1111111))","cot":[{"info":"⫏≰21121220⩨⫏≰22000002=⫏≰-10","layer":3},{"info":"⫏≰2022202↬⫏≰22101112=NaN","layer":3},{"info":"⫏≰-10≹⇙⪍NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⫏≰11122201∼⫏≰1211100=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"⫏≰2010112*⫏≰1111111=⫏≰10012020102202","layer":3},{"info":"⪝⪂⫅⫏≰10012020102202=⫏≰-122101112000220220","layer":2},{"info":"NaN⋳⪒⫏≰-122101112000220220=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":609,"expression_no_base_symbol":"(($6238$/$1122$)⋳⪒($2692$≦≮≮)⋥≓≎((⊥$1020$)⨵⪆(⫛⫱⨽$5282$)))≎⊠⪸((↩$2074$)⇼⇔∾$2607$∀⇚≩$2502$)↬(($4319$⪐)⫩⊇)","expression":"((⫏≰22120001/⫏≰1112120)⋳⪒(⫏≰10200201≦≮≮)⋥≓≎((⊥⫏≰1101210)⨵⪆(⫛⫱⨽⫏≰21020122)))≎⊠⪸((↩⫏≰2211211)⇼⇔∾⫏≰10120120∀⇚≩⫏≰10102200)↬((⫏≰12220222⪐)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19726,"operation_count":14,"complexity_ratio":1409.0,"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":6238,"base":3},"right_expr":{"type":"numeric_atoms","value":1122,"base":3}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2692,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1020,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5282,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2074,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2607,"base":3},"right_expr":{"type":"numeric_atoms","value":2502,"base":3}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4319,"base":3}}}}},"used_operators":["bJkvcejdHO","Qy55tPpLXF","12rbrZMWeM","XhwjNDsVaA","D4vGDi5EA2","2DQ55sFlQl","Q3PJZHRvZv","DlLNRPXxWL","B5M0gjZbta","tifHPKVTfV","jLgFTUHLKL","LRNGc0VcxI","BjRHVeLaeN","eH2TOUuTDT"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","rGHVDoGpnC","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6238","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=6238, right_input=1122, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":3},{"info":"number node, value=2692","layer":4},{"info":"compute unary expreesion, input=2692, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8076","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-8076, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7799","layer":2},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=5282","layer":4},{"info":"compute unary expreesion, input=5282, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=7799, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-7446","layer":1},{"info":"number node, value=2074","layer":4},{"info":"compute unary expreesion, input=2074, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-13812","layer":3},{"info":"number node, value=2607","layer":4},{"info":"number node, value=2502","layer":4},{"info":"compute binary expreesion, left_input=2607, right_input=2502, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-13812, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=4319","layer":4},{"info":"compute unary expreesion, input=4319, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8638","layer":3},{"info":"compute unary expreesion, input=8638, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-8596","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8596, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-7446, 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":3,"result_base":3,"text":"((⫏≰22120001/⫏≰1112120)⋳⪒(⫏≰10200201≦≮≮)⋥≓≎((⊥⫏≰1101210)⨵⪆(⫛⫱⨽⫏≰21020122)))≎⊠⪸((↩⫏≰2211211)⇼⇔∾⫏≰10120120∀⇚≩⫏≰10102200)↬((⫏≰12220222⪐)⫩⊇)=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰22120001/⫏≰1112120)⋳⪒(⫏≰10200201≦≮≮)⋥≓≎((⊥⫏≰1101210)⨵⪆(⫛⫱⨽⫏≰21020122)))≎⊠⪸((↩⫏≰2211211)⇼⇔∾⫏≰10120120∀⇚≩⫏≰10102200)↬((⫏≰12220222⪐)⫩⊇)","cot":[{"info":"⫏≰22120001/⫏≰1112120=⫏≰12","layer":3},{"info":"⫏≰10200201≦≮≮=⫏≰-102002010","layer":3},{"info":"⫏≰12⋳⪒⫏≰-102002010=⫏≰101200212","layer":2},{"info":"⊥⫏≰1101210=NaN","layer":3},{"info":"⫛⫱⨽⫏≰21020122=⫏≰0","layer":3},{"info":"NaN⨵⪆⫏≰0=⫏≰12221","layer":2},{"info":"⫏≰101200212⋥≓≎⫏≰12221=⫏≰-101012210","layer":1},{"info":"↩⫏≰2211211=⫏≰-200221120","layer":3},{"info":"⫏≰10120120∀⇚≩⫏≰10102200=NaN","layer":3},{"info":"⫏≰-200221120⇼⇔∾NaN=NaN","layer":2},{"info":"⫏≰12220222⪐=⫏≰102211221","layer":3},{"info":"⫏≰102211221⫩⊇=⫏≰-102210101","layer":2},{"info":"NaN↬⫏≰-102210101=NaN","layer":1},{"info":"⫏≰-101012210≎⊠⪸NaN=⫏≰2111","layer":0}]}
{"id":610,"expression_no_base_symbol":"((↯⪼$1108$)∲⫓($1642$⋷$1172$))⊴($4354$⨪↰⇹$3297$+$1340$↙$1301$)⊭∹↮","expression":"((↯⪼⫏≰1112001)∲⫓(⫏≰2020211⋷⫏≰1121102))⊴(⫏≰12222021⨪↰⇹⫏≰11112010+⫏≰1211122↙⫏≰1210012)⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6158,"operation_count":8,"complexity_ratio":769.75,"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":1108,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1642,"base":3},"right_expr":{"type":"numeric_atoms","value":1172,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4354,"base":3},"right_expr":{"type":"numeric_atoms","value":3297,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1340,"base":3},"right_expr":{"type":"numeric_atoms","value":1301,"base":3}}}}},"used_operators":["xNBdhnnwKq","Nsiff2A1zJ","i8ToyICDmI","8jW3W4yZS5","23Mk6UjR3U","W4YGzv6Whe","tmPS8pqC7x","yyfyN0ffXY"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, 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=1642","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=1172, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=702","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=702, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=4354","layer":4},{"info":"number node, value=3297","layer":4},{"info":"compute binary expreesion, left_input=4354, right_input=3297, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4354","layer":3},{"info":"number node, value=1340","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=1301, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3903","layer":3},{"info":"compute binary expreesion, left_input=4354, right_input=-3903, op_id = W4YGzv6Whe binary_op_definition= 'None', output=451","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=451, op_id = Nsiff2A1zJ 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":3,"result_base":3,"text":"((↯⪼⫏≰1112001)∲⫓(⫏≰2020211⋷⫏≰1121102))⊴(⫏≰12222021⨪↰⇹⫏≰11112010+⫏≰1211122↙⫏≰1210012)⊭∹↮=NaN","reverse_text":"NaN=((↯⪼⫏≰1112001)∲⫓(⫏≰2020211⋷⫏≰1121102))⊴(⫏≰12222021⨪↰⇹⫏≰11112010+⫏≰1211122↙⫏≰1210012)⊭∹↮","cot":[{"info":"↯⪼⫏≰1112001=⫏≰-210","layer":3},{"info":"⫏≰2020211⋷⫏≰1121102=⫏≰222000","layer":3},{"info":"⫏≰-210∲⫓⫏≰222000=⫏≰0","layer":2},{"info":"⫏≰12222021⨪↰⇹⫏≰11112010=⫏≰12222021","layer":3},{"info":"⫏≰1211122↙⫏≰1210012=⫏≰-12100120","layer":3},{"info":"⫏≰12222021+⫏≰-12100120=⫏≰121201","layer":2},{"info":"⫏≰0⊴⫏≰121201=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":611,"expression_no_base_symbol":"(≦∁($2213$⨵⪆$2439$))∑⇟⊟($7812$⇼⇔∾$1376$%$2224$⫥∨⫟$1340$)≧⫂∧(⫛⫱⨽($1021$*$1807$+$3840$⨸⪁$1649$))","expression":"(≦∁(⫏≰10000222⨵⪆⫏≰10100100))∑⇟⊟(⫏≰101201100⇼⇔∾⫏≰1212222%⫏≰10001101⫥∨⫟⫏≰1211122)≧⫂∧(⫛⫱⨽(⫏≰1101211*⫏≰2110221+⫏≰12021020⨸⪁⫏≰2021002))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2631,"operation_count":11,"complexity_ratio":239.1818181818182,"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":2213,"base":3},"right_expr":{"type":"numeric_atoms","value":2439,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7812,"base":3},"right_expr":{"type":"numeric_atoms","value":1376,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2224,"base":3},"right_expr":{"type":"numeric_atoms","value":1340,"base":3}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1021,"base":3},"right_expr":{"type":"numeric_atoms","value":1807,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3840,"base":3},"right_expr":{"type":"numeric_atoms","value":1649,"base":3}}}}},"used_operators":["Ph9nP6C5qx","U7g4x0WXJJ","9ICcGScMcE","2DQ55sFlQl","k8jYdgA6NY","tifHPKVTfV","KYD54nUTWz","DlLNRPXxWL","W4YGzv6Whe","9HNa5Wba9A","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","W4YGzv6Whe","W4YGzv6Whe"],"result":"⫏≰-122112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2213","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=2439, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-2240","layer":2},{"info":"number node, value=7812","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=7812, right_input=1376, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6436","layer":3},{"info":"number node, value=2224","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=1340, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6436, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2240, 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=1021","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1807, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1844947","layer":3},{"info":"number node, value=3840","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=3840, right_input=1649, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10978","layer":3},{"info":"compute binary expreesion, left_input=1844947, right_input=10978, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1855925","layer":2},{"info":"compute unary expreesion, input=1855925, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":3,"result_base":3,"text":"(≦∁(⫏≰10000222⨵⪆⫏≰10100100))∑⇟⊟(⫏≰101201100⇼⇔∾⫏≰1212222%⫏≰10001101⫥∨⫟⫏≰1211122)≧⫂∧(⫛⫱⨽(⫏≰1101211*⫏≰2110221+⫏≰12021020⨸⪁⫏≰2021002))=⫏≰-122112","reverse_text":"⫏≰-122112=(≦∁(⫏≰10000222⨵⪆⫏≰10100100))∑⇟⊟(⫏≰101201100⇼⇔∾⫏≰1212222%⫏≰10001101⫥∨⫟⫏≰1211122)≧⫂∧(⫛⫱⨽(⫏≰1101211*⫏≰2110221+⫏≰12021020⨸⪁⫏≰2021002))","cot":[{"info":"⫏≰10000222⨵⪆⫏≰10100100=⫏≰12221","layer":3},{"info":"≦∁⫏≰12221=⫏≰-10001222","layer":2},{"info":"⫏≰101201100⇼⇔∾⫏≰1212222=⫏≰-22211101","layer":3},{"info":"⫏≰10001101⫥∨⫟⫏≰1211122=NaN","layer":3},{"info":"⫏≰-22211101%NaN=NaN","layer":2},{"info":"⫏≰-10001222∑⇟⊟NaN=NaN","layer":1},{"info":"⫏≰1101211*⫏≰2110221=⫏≰10110201210101","layer":3},{"info":"⫏≰12021020⨸⪁⫏≰2021002=⫏≰120001121","layer":3},{"info":"⫏≰10110201210101+⫏≰120001121=⫏≰10111021211222","layer":2},{"info":"⫛⫱⨽⫏≰10111021211222=⫏≰0","layer":1},{"info":"NaN≧⫂∧⫏≰0=⫏≰-122112","layer":0}]}
{"id":612,"expression_no_base_symbol":"(($1378$⨎$1089$⪨≂$3466$↙$3297$)∲⫓(⊄⩳↩($2293$≧⫂∧$5871$)))⪛(($5560$*$5731$∲⫓$3454$∲⫓$1231$)⪄$2503$⩷∴$2896$⨽(↔$3674$))","expression":"((⫏≰1220001⨎⫏≰1111100⪨≂⫏≰11202101↙⫏≰11112010)∲⫓(⊄⩳↩(⫏≰10010221≧⫂∧⫏≰22001110)))⪛((⫏≰21121221*⫏≰21212021∲⫓⫏≰11201221∲⫓⫏≰1200121)⪄⫏≰10102201⩷∴⫏≰10222021⨽(↔⫏≰12001002))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9812,"operation_count":14,"complexity_ratio":700.8571428571429,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1378,"base":3},"right_expr":{"type":"numeric_atoms","value":1089,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3466,"base":3},"right_expr":{"type":"numeric_atoms","value":3297,"base":3}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2293,"base":3},"right_expr":{"type":"numeric_atoms","value":5871,"base":3}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5560,"base":3},"right_expr":{"type":"numeric_atoms","value":5731,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3454,"base":3},"right_expr":{"type":"numeric_atoms","value":1231,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2503,"base":3},"right_expr":{"type":"numeric_atoms","value":2896,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3674,"base":3}}}}},"used_operators":["uFcxV4UQCh","i8ToyICDmI","sdazOOVcIp","rJVOvQCfKK","yyfyN0ffXY","8w2t5hMYqp","Ph9nP6C5qx","SUmda5xLS4","9HNa5Wba9A","8HhzD0ZcuI","9FxExcQeMw","ruOEQAzv1W"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"-Inf","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1378","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=1089, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1089","layer":3},{"info":"number node, value=3466","layer":4},{"info":"number node, value=3297","layer":4},{"info":"compute binary expreesion, left_input=3466, right_input=3297, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9891","layer":3},{"info":"compute binary expreesion, left_input=1089, right_input=-9891, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=22062","layer":2},{"info":"number node, value=2293","layer":4},{"info":"number node, value=5871","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=5871, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5398","layer":3},{"info":"compute unary expreesion, input=5398, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16194","layer":2},{"info":"compute binary expreesion, left_input=22062, right_input=-16194, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=22062","layer":1},{"info":"number node, value=5560","layer":4},{"info":"number node, value=5731","layer":4},{"info":"compute binary expreesion, left_input=5560, right_input=5731, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=31864360","layer":3},{"info":"number node, value=3454","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=3454, right_input=1231, 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=31864360, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=31864360","layer":2},{"info":"number node, value=2503","layer":4},{"info":"number node, value=2896","layer":4},{"info":"compute binary expreesion, left_input=2503, right_input=2896, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-818","layer":3},{"info":"number node, value=3674","layer":4},{"info":"compute unary expreesion, input=3674, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3401","layer":3},{"info":"compute binary expreesion, left_input=-818, right_input=-3401, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1995855","layer":2},{"info":"compute binary expreesion, left_input=31864360, right_input=-1995855, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=22062, right_input=-inf, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-inf","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1220001⨎⫏≰1111100⪨≂⫏≰11202101↙⫏≰11112010)∲⫓(⊄⩳↩(⫏≰10010221≧⫂∧⫏≰22001110)))⪛((⫏≰21121221*⫏≰21212021∲⫓⫏≰11201221∲⫓⫏≰1200121)⪄⫏≰10102201⩷∴⫏≰10222021⨽(↔⫏≰12001002))=-Inf","reverse_text":"-Inf=((⫏≰1220001⨎⫏≰1111100⪨≂⫏≰11202101↙⫏≰11112010)∲⫓(⊄⩳↩(⫏≰10010221≧⫂∧⫏≰22001110)))⪛((⫏≰21121221*⫏≰21212021∲⫓⫏≰11201221∲⫓⫏≰1200121)⪄⫏≰10102201⩷∴⫏≰10222021⨽(↔⫏≰12001002))","cot":[{"info":"⫏≰1220001⨎⫏≰1111100=⫏≰1111100","layer":3},{"info":"⫏≰11202101↙⫏≰11112010=⫏≰-111120100","layer":3},{"info":"⫏≰1111100⪨≂⫏≰-111120100=⫏≰1010021010","layer":2},{"info":"⫏≰10010221≧⫂∧⫏≰22001110=⫏≰21101221","layer":3},{"info":"⊄⩳↩⫏≰21101221=⫏≰-211012210","layer":2},{"info":"⫏≰1010021010∲⫓⫏≰-211012210=⫏≰1010021010","layer":1},{"info":"⫏≰21121221*⫏≰21212021=⫏≰2012221212200111","layer":3},{"info":"⫏≰11201221∲⫓⫏≰1200121=⫏≰0","layer":3},{"info":"⫏≰2012221212200111∲⫓⫏≰0=⫏≰2012221212200111","layer":2},{"info":"⫏≰10102201⩷∴⫏≰10222021=⫏≰-1010022","layer":3},{"info":"↔⫏≰12001002=⫏≰-11122222","layer":3},{"info":"⫏≰-1010022⨽⫏≰-11122222=⫏≰-10202101210120","layer":2},{"info":"⫏≰2012221212200111⪄⫏≰-10202101210120=-Inf","layer":1},{"info":"⫏≰1010021010⪛-Inf=-Inf","layer":0}]}
{"id":613,"expression_no_base_symbol":"$2885$∼$1414$↬($4260$⨸⪁$1912$)⨓(-$1062$⊉≛↸$4488$)⊠≄⫣","expression":"⫏≰10221212∼⫏≰1221101↬(⫏≰12211210⨸⪁⫏≰2121211)⨓(-⫏≰1110100⊉≛↸⫏≰20011020)⊠≄⫣","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2198,"operation_count":7,"complexity_ratio":314.0,"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":2885,"base":3},"right_expr":{"type":"numeric_atoms","value":1414,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4260,"base":3},"right_expr":{"type":"numeric_atoms","value":1912,"base":3}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1062,"base":3},"right_expr":{"type":"numeric_atoms","value":4488,"base":3}}}}},"used_operators":["DIvbN7qnHd","3ViojmjbAp","B5M0gjZbta","DyGG3AbaNP","g55IO6H4Gj","t8gj7n24qd","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2885","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=2885, right_input=1414, 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=4260","layer":4},{"info":"number node, value=1912","layer":4},{"info":"compute binary expreesion, left_input=4260, right_input=1912, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12344","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12344, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1062","layer":4},{"info":"number node, value=4488","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=4488, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2124","layer":3},{"info":"compute unary expreesion, input=2124, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2124","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2124, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=2121","layer":1},{"info":"compute unary expreesion, input=2121, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⫏≰10221212∼⫏≰1221101↬(⫏≰12211210⨸⪁⫏≰2121211)⨓(-⫏≰1110100⊉≛↸⫏≰20011020)⊠≄⫣=⫏≰0","reverse_text":"⫏≰0=⫏≰10221212∼⫏≰1221101↬(⫏≰12211210⨸⪁⫏≰2121211)⨓(-⫏≰1110100⊉≛↸⫏≰20011020)⊠≄⫣","cot":[{"info":"⫏≰10221212∼⫏≰1221101=NaN","layer":3},{"info":"⫏≰12211210⨸⪁⫏≰2121211=⫏≰121221012","layer":3},{"info":"NaN↬⫏≰121221012=NaN","layer":2},{"info":"⫏≰1110100⊉≛↸⫏≰20011020=⫏≰2220200","layer":3},{"info":"-⫏≰2220200=⫏≰-2220200","layer":2},{"info":"NaN⨓⫏≰-2220200=⫏≰2220120","layer":1},{"info":"⫏≰2220120⊠≄⫣=⫏≰0","layer":0}]}
{"id":614,"expression_no_base_symbol":"⨑⩽⪐($1841$⨵⪆$1072$)⋝⋈⪟($2779$⊠≄⫣)≭($5187$⨎$1046$)≹⇙⪍($1007$⊉≛↸$1551$)","expression":"⨑⩽⪐(⫏≰2112012⨵⪆⫏≰1110201)⋝⋈⪟(⫏≰10210221⊠≄⫣)≭(⫏≰21010010⨎⫏≰1102202)≹⇙⪍(⫏≰1101022⊉≛↸⫏≰2010110)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19,"operation_count":8,"complexity_ratio":2.375,"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":1841,"base":3},"right_expr":{"type":"numeric_atoms","value":1072,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2779,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5187,"base":3},"right_expr":{"type":"numeric_atoms","value":1046,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1007,"base":3},"right_expr":{"type":"numeric_atoms","value":1551,"base":3}}}}},"used_operators":["AF7qkfDlqP","rxpJgHHUmx","2DDjHMKMc0","2DQ55sFlQl","DIvbN7qnHd","AHs5Up7iyr","rJVOvQCfKK","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1841","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=1072, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2779","layer":4},{"info":"compute unary expreesion, input=2779, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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=5187","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=5187, right_input=1046, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1046","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=1551","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1551, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2014","layer":3},{"info":"compute binary expreesion, left_input=1046, right_input=2014, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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":3,"result_base":3,"text":"⨑⩽⪐(⫏≰2112012⨵⪆⫏≰1110201)⋝⋈⪟(⫏≰10210221⊠≄⫣)≭(⫏≰21010010⨎⫏≰1102202)≹⇙⪍(⫏≰1101022⊉≛↸⫏≰2010110)=NaN","reverse_text":"NaN=⨑⩽⪐(⫏≰2112012⨵⪆⫏≰1110201)⋝⋈⪟(⫏≰10210221⊠≄⫣)≭(⫏≰21010010⨎⫏≰1102202)≹⇙⪍(⫏≰1101022⊉≛↸⫏≰2010110)","cot":[{"info":"⫏≰2112012⨵⪆⫏≰1110201=⫏≰12221","layer":3},{"info":"⫏≰10210221⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰12221⋝⋈⪟⫏≰0=⫏≰12221","layer":2},{"info":"⫏≰21010010⨎⫏≰1102202=⫏≰1102202","layer":3},{"info":"⫏≰1101022⊉≛↸⫏≰2010110=⫏≰2202121","layer":3},{"info":"⫏≰1102202≹⇙⪍⫏≰2202121=NaN","layer":2},{"info":"⫏≰12221≭NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":615,"expression_no_base_symbol":"(($1365$⊭↱$1781$)⪐)⪘⫢($6345$⪘⫢$4407$)⨟⋌⩍($1256$⇼⇔∾$3718$)≫≃","expression":"((⫏≰1212120⊭↱⫏≰2102222)⪐)⪘⫢(⫏≰22201000⪘⫢⫏≰20001020)⨟⋌⩍(⫏≰1201112⇼⇔∾⫏≰12002201)≫≃","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":42,"operation_count":7,"complexity_ratio":6.0,"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":1365,"base":3},"right_expr":{"type":"numeric_atoms","value":1781,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6345,"base":3},"right_expr":{"type":"numeric_atoms","value":4407,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1256,"base":3},"right_expr":{"type":"numeric_atoms","value":3718,"base":3}}}}},"used_operators":["X99M06cbEe","oacrs7FA3X","eH2TOUuTDT","COABgblf1C","rGHVDoGpnC","tifHPKVTfV"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":4},{"info":"number node, value=1781","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=1781, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=837","layer":3},{"info":"compute unary expreesion, input=837, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=1674","layer":2},{"info":"number node, value=6345","layer":4},{"info":"number node, value=4407","layer":4},{"info":"compute binary expreesion, left_input=6345, right_input=4407, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12566","layer":3},{"info":"number node, value=1256","layer":4},{"info":"number node, value=3718","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=3718, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2462","layer":3},{"info":"compute binary expreesion, left_input=12566, right_input=2462, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1674, 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 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":3,"result_base":3,"text":"((⫏≰1212120⊭↱⫏≰2102222)⪐)⪘⫢(⫏≰22201000⪘⫢⫏≰20001020)⨟⋌⩍(⫏≰1201112⇼⇔∾⫏≰12002201)≫≃=NaN","reverse_text":"NaN=((⫏≰1212120⊭↱⫏≰2102222)⪐)⪘⫢(⫏≰22201000⪘⫢⫏≰20001020)⨟⋌⩍(⫏≰1201112⇼⇔∾⫏≰12002201)≫≃","cot":[{"info":"⫏≰1212120⊭↱⫏≰2102222=⫏≰1011000","layer":3},{"info":"⫏≰1011000⪐=⫏≰2022000","layer":2},{"info":"⫏≰22201000⪘⫢⫏≰20001020=⫏≰122020102","layer":3},{"info":"⫏≰1201112⇼⇔∾⫏≰12002201=⫏≰10101012","layer":3},{"info":"⫏≰122020102⨟⋌⩍⫏≰10101012=NaN","layer":2},{"info":"⫏≰2022000⪘⫢NaN=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":616,"expression_no_base_symbol":"(($2447$⋳⪒$1850$⨁⊸⫻)⨸⪁($1714$⫥∨⫟$1141$)↬($2869$⋷$1982$))⨪↰⇹(($1004$≋⫹)⨰($1635$⇼⇔∾$3368$)⨰(($1935$⨪↰⇹$4825$)⩠))","expression":"((⫏≰10100122⋳⪒⫏≰2112112⨁⊸⫻)⨸⪁(⫏≰2100111⫥∨⫟⫏≰1120021)↬(⫏≰10221021⋷⫏≰2201102))⨪↰⇹((⫏≰1101012≋⫹)⨰(⫏≰2020120⇼⇔∾⫏≰11121202)⨰((⫏≰2122200⨪↰⇹⫏≰20121201)⩠))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2140,"operation_count":13,"complexity_ratio":164.6153846153846,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2447,"base":3},"right_expr":{"type":"numeric_atoms","value":1850,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1714,"base":3},"right_expr":{"type":"numeric_atoms","value":1141,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2869,"base":3},"right_expr":{"type":"numeric_atoms","value":1982,"base":3}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1004,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1635,"base":3},"right_expr":{"type":"numeric_atoms","value":3368,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1935,"base":3},"right_expr":{"type":"numeric_atoms","value":4825,"base":3}}}}},"used_operators":["tmPS8pqC7x","g55IO6H4Gj","glklzrTFfD","12rbrZMWeM","B5M0gjZbta","KYD54nUTWz","23Mk6UjR3U","eewbuw0ToL","N41Kp7NANJ","tifHPKVTfV","sJAwomhLZr"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2447","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=1850, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2757","layer":3},{"info":"compute unary expreesion, input=2757, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2757","layer":2},{"info":"number node, value=1714","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=1141, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2869","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=2869, right_input=1982, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1095","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1095, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2757, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2008","layer":3},{"info":"number node, value=1635","layer":4},{"info":"number node, value=3368","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=3368, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1733","layer":3},{"info":"compute binary expreesion, left_input=-2008, right_input=1733, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3731","layer":2},{"info":"number node, value=1935","layer":4},{"info":"number node, value=4825","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=4825, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1935","layer":3},{"info":"compute unary expreesion, input=1935, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-3731, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3721","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3721, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":3,"result_base":3,"text":"((⫏≰10100122⋳⪒⫏≰2112112⨁⊸⫻)⨸⪁(⫏≰2100111⫥∨⫟⫏≰1120021)↬(⫏≰10221021⋷⫏≰2201102))⨪↰⇹((⫏≰1101012≋⫹)⨰(⫏≰2020120⇼⇔∾⫏≰11121202)⨰((⫏≰2122200⨪↰⇹⫏≰20121201)⩠))=NaN","reverse_text":"NaN=((⫏≰10100122⋳⪒⫏≰2112112⨁⊸⫻)⨸⪁(⫏≰2100111⫥∨⫟⫏≰1120021)↬(⫏≰10221021⋷⫏≰2201102))⨪↰⇹((⫏≰1101012≋⫹)⨰(⫏≰2020120⇼⇔∾⫏≰11121202)⨰((⫏≰2122200⨪↰⇹⫏≰20121201)⩠))","cot":[{"info":"⫏≰10100122⋳⪒⫏≰2112112=⫏≰10210010","layer":3},{"info":"⫏≰10210010⨁⊸⫻=⫏≰10210010","layer":2},{"info":"⫏≰2100111⫥∨⫟⫏≰1120021=NaN","layer":3},{"info":"⫏≰10221021⋷⫏≰2201102=⫏≰1111120","layer":3},{"info":"NaN↬⫏≰1111120=NaN","layer":2},{"info":"⫏≰10210010⨸⪁NaN=NaN","layer":1},{"info":"⫏≰1101012≋⫹=⫏≰-2202101","layer":3},{"info":"⫏≰2020120⇼⇔∾⫏≰11121202=⫏≰2101012","layer":3},{"info":"⫏≰-2202101⨰⫏≰2101012=⫏≰-12010012","layer":2},{"info":"⫏≰2122200⨪↰⇹⫏≰20121201=⫏≰2122200","layer":3},{"info":"⫏≰2122200⩠=⫏≰0","layer":2},{"info":"⫏≰-12010012⨰⫏≰0=⫏≰-12002211","layer":1},{"info":"NaN⨪↰⇹⫏≰-12002211=NaN","layer":0}]}
{"id":617,"expression_no_base_symbol":"(⫛⫱⨽(($2810$↙$3421$)⇷(⨈⫕$2590$)))↙(($1127$⨸⪁$1160$+$1114$⫥∨⫟$1125$)%(↩$6806$≭$3633$))","expression":"(⫛⫱⨽((⫏≰10212002↙⫏≰11200201)⇷(⨈⫕⫏≰10112221)))↙((⫏≰1112202⨸⪁⫏≰1120222+⫏≰1112021⫥∨⫟⫏≰1112200)%(↩⫏≰100100002≭⫏≰11222120))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":148631,"operation_count":11,"complexity_ratio":13511.90909090909,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2810,"base":3},"right_expr":{"type":"numeric_atoms","value":3421,"base":3}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2590,"base":3}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1127,"base":3},"right_expr":{"type":"numeric_atoms","value":1160,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1114,"base":3},"right_expr":{"type":"numeric_atoms","value":1125,"base":3}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6806,"base":3},"right_expr":{"type":"numeric_atoms","value":3633,"base":3}}}}},"used_operators":["yyfyN0ffXY","DlLNRPXxWL","mp7IySMOzn","megm06wKyl","k8jYdgA6NY","W4YGzv6Whe","g55IO6H4Gj","KYD54nUTWz","jLgFTUHLKL","rxpJgHHUmx"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2810","layer":4},{"info":"number node, value=3421","layer":4},{"info":"compute binary expreesion, left_input=2810, right_input=3421, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10263","layer":3},{"info":"number node, value=2590","layer":4},{"info":"compute unary expreesion, input=2590, 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=-10263, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1127","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=1160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4574","layer":3},{"info":"number node, value=1114","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=1125, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4574, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6806","layer":4},{"info":"number node, value=3633","layer":4},{"info":"compute binary expreesion, left_input=6806, right_input=3633, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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":"compute binary expreesion, left_input=0, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⫛⫱⨽((⫏≰10212002↙⫏≰11200201)⇷(⨈⫕⫏≰10112221)))↙((⫏≰1112202⨸⪁⫏≰1120222+⫏≰1112021⫥∨⫟⫏≰1112200)%(↩⫏≰100100002≭⫏≰11222120))=⫏≰0","reverse_text":"⫏≰0=(⫛⫱⨽((⫏≰10212002↙⫏≰11200201)⇷(⨈⫕⫏≰10112221)))↙((⫏≰1112202⨸⪁⫏≰1120222+⫏≰1112021⫥∨⫟⫏≰1112200)%(↩⫏≰100100002≭⫏≰11222120))","cot":[{"info":"⫏≰10212002↙⫏≰11200201=⫏≰-112002010","layer":3},{"info":"⨈⫕⫏≰10112221=⫏≰-210","layer":3},{"info":"⫏≰-112002010⇷⫏≰-210=⫏≰-1120","layer":2},{"info":"⫛⫱⨽⫏≰-1120=⫏≰0","layer":1},{"info":"⫏≰1112202⨸⪁⫏≰1120222=⫏≰20021102","layer":3},{"info":"⫏≰1112021⫥∨⫟⫏≰1112200=NaN","layer":3},{"info":"⫏≰20021102+NaN=NaN","layer":2},{"info":"⫏≰100100002≭⫏≰11222120=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⫏≰0↙NaN=⫏≰0","layer":0}]}
{"id":618,"expression_no_base_symbol":"(($4470$⨁⊸⫻)⪨≂$2792$%$2783$)+⇶⊼(⨈⫕$5480$⪘⫢$2356$)⨵⪆(⊄⩳↩(($2174$⫡⨏$6534$)≎⊠⪸($6568$⪨≂$1490$)))","expression":"((⫏≰20010120⨁⊸⫻)⪨≂⫏≰10211102%⫏≰10211002)+⇶⊼(⨈⫕⫏≰21111222⪘⫢⫏≰10020021)⨵⪆(⊄⩳↩((⫏≰2222112⫡⨏⫏≰22222000)≎⊠⪸(⫏≰100000021⪨≂⫏≰2001012)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3086,"operation_count":11,"complexity_ratio":280.54545454545456,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4470,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2792,"base":3},"right_expr":{"type":"numeric_atoms","value":2783,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5480,"base":3},"right_expr":{"type":"numeric_atoms","value":2356,"base":3}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2174,"base":3},"right_expr":{"type":"numeric_atoms","value":6534,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6568,"base":3},"right_expr":{"type":"numeric_atoms","value":1490,"base":3}}}}},"used_operators":["2DQ55sFlQl","TpPTUOHfaN","sdazOOVcIp","glklzrTFfD","k8jYdgA6NY","megm06wKyl","oacrs7FA3X","8w2t5hMYqp","bJkvcejdHO","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4470","layer":4},{"info":"compute unary expreesion, input=4470, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4470","layer":3},{"info":"number node, value=2792","layer":4},{"info":"number node, value=2783","layer":4},{"info":"compute binary expreesion, left_input=2792, right_input=2783, op_id = k8jYdgA6NY binary_op_definition= 'None', output=9","layer":3},{"info":"compute binary expreesion, left_input=4470, right_input=9, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9024","layer":2},{"info":"number node, value=5480","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=5480, right_input=2356, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10836","layer":3},{"info":"compute unary expreesion, input=10836, 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=9024, right_input=-21, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2174","layer":4},{"info":"number node, value=6534","layer":4},{"info":"compute binary expreesion, left_input=2174, right_input=6534, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24721","layer":3},{"info":"number node, value=6568","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=6568, right_input=1490, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=10258","layer":3},{"info":"compute binary expreesion, left_input=24721, right_input=10258, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=6402266","layer":2},{"info":"compute unary expreesion, input=6402266, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-19206798","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-19206798, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20010120⨁⊸⫻)⪨≂⫏≰10211102%⫏≰10211002)+⇶⊼(⨈⫕⫏≰21111222⪘⫢⫏≰10020021)⨵⪆(⊄⩳↩((⫏≰2222112⫡⨏⫏≰22222000)≎⊠⪸(⫏≰100000021⪨≂⫏≰2001012)))=⫏≰12221","reverse_text":"⫏≰12221=((⫏≰20010120⨁⊸⫻)⪨≂⫏≰10211102%⫏≰10211002)+⇶⊼(⨈⫕⫏≰21111222⪘⫢⫏≰10020021)⨵⪆(⊄⩳↩((⫏≰2222112⫡⨏⫏≰22222000)≎⊠⪸(⫏≰100000021⪨≂⫏≰2001012)))","cot":[{"info":"⫏≰20010120⨁⊸⫻=⫏≰20010120","layer":3},{"info":"⫏≰10211102%⫏≰10211002=⫏≰100","layer":3},{"info":"⫏≰20010120⪨≂⫏≰100=⫏≰110101020","layer":2},{"info":"⫏≰21111222⪘⫢⫏≰10020021=⫏≰112212100","layer":3},{"info":"⨈⫕⫏≰112212100=⫏≰-210","layer":2},{"info":"⫏≰110101020+⇶⊼⫏≰-210=NaN","layer":1},{"info":"⫏≰2222112⫡⨏⫏≰22222000=⫏≰1020220121","layer":3},{"info":"⫏≰100000021⪨≂⫏≰2001012=⫏≰112001221","layer":3},{"info":"⫏≰1020220121≎⊠⪸⫏≰112001221=⫏≰110001021020222","layer":2},{"info":"⊄⩳↩⫏≰110001021020222=⫏≰-1100010210202220","layer":1},{"info":"NaN⨵⪆⫏≰-1100010210202220=⫏≰12221","layer":0}]}
{"id":619,"expression_no_base_symbol":"($1323$⊴$2532$≧⫂∧(-$2362$)⇋≉)⪠⩆⊳","expression":"(⫏≰1211000⊴⫏≰10110210≧⫂∧(-⫏≰10020111)⇋≉)⪠⩆⊳","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2550,"operation_count":5,"complexity_ratio":510.0,"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":1323,"base":3},"right_expr":{"type":"numeric_atoms","value":2532,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2362,"base":3}}}}},"used_operators":["JLbD19bQDL","XIabStNQrY","Ph9nP6C5qx","Nsiff2A1zJ","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1323","layer":4},{"info":"number node, value=2532","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=2532, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2362","layer":4},{"info":"compute unary expreesion, input=2362, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2362","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2362, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-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":3,"result_base":3,"text":"(⫏≰1211000⊴⫏≰10110210≧⫂∧(-⫏≰10020111)⇋≉)⪠⩆⊳=NaN","reverse_text":"NaN=(⫏≰1211000⊴⫏≰10110210≧⫂∧(-⫏≰10020111)⇋≉)⪠⩆⊳","cot":[{"info":"⫏≰1211000⊴⫏≰10110210=NaN","layer":3},{"info":"-⫏≰10020111=⫏≰-10020111","layer":3},{"info":"NaN≧⫂∧⫏≰-10020111=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":620,"expression_no_base_symbol":"(⊥(($4938$⊦⊿)≋⫹))⊭↱(($2946$⋥≓≎$1211$)↬($4710$+⇶⊼$4151$))∼(($2912$+$1640$)⨎(⊥$2067$))","expression":"(⊥((⫏≰20202220⊦⊿)≋⫹))⊭↱((⫏≰11001010⋥≓≎⫏≰1122212)↬(⫏≰20110110+⇶⊼⫏≰12200202))∼((⫏≰10222212+⫏≰2020202)⨎(⊥⫏≰2211120))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28,"operation_count":11,"complexity_ratio":2.5454545454545454,"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":4938,"base":3}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2946,"base":3},"right_expr":{"type":"numeric_atoms","value":1211,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4710,"base":3},"right_expr":{"type":"numeric_atoms","value":4151,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2912,"base":3},"right_expr":{"type":"numeric_atoms","value":1640,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2067,"base":3}}}}},"used_operators":["COABgblf1C","Q3PJZHRvZv","N41Kp7NANJ","14qkJME0vr","DyGG3AbaNP","B5M0gjZbta","Qy55tPpLXF","TpPTUOHfaN","rJVOvQCfKK","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4938","layer":4},{"info":"compute unary expreesion, input=4938, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-14893","layer":3},{"info":"compute unary expreesion, input=-14893, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=29786","layer":2},{"info":"compute unary expreesion, input=29786, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2946","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=2946, right_input=1211, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-491","layer":3},{"info":"number node, value=4710","layer":4},{"info":"number node, value=4151","layer":4},{"info":"compute binary expreesion, left_input=4710, right_input=4151, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-491, 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=2912","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=1640, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4552","layer":3},{"info":"number node, value=2067","layer":4},{"info":"compute unary expreesion, input=2067, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4552, 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 = 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊥((⫏≰20202220⊦⊿)≋⫹))⊭↱((⫏≰11001010⋥≓≎⫏≰1122212)↬(⫏≰20110110+⇶⊼⫏≰12200202))∼((⫏≰10222212+⫏≰2020202)⨎(⊥⫏≰2211120))=NaN","reverse_text":"NaN=(⊥((⫏≰20202220⊦⊿)≋⫹))⊭↱((⫏≰11001010⋥≓≎⫏≰1122212)↬(⫏≰20110110+⇶⊼⫏≰12200202))∼((⫏≰10222212+⫏≰2020202)⨎(⊥⫏≰2211120))","cot":[{"info":"⫏≰20202220⊦⊿=⫏≰-202102121","layer":3},{"info":"⫏≰-202102121≋⫹=⫏≰1111212012","layer":2},{"info":"⊥⫏≰1111212012=NaN","layer":1},{"info":"⫏≰11001010⋥≓≎⫏≰1122212=⫏≰-200012","layer":3},{"info":"⫏≰20110110+⇶⊼⫏≰12200202=NaN","layer":3},{"info":"⫏≰-200012↬NaN=NaN","layer":2},{"info":"⫏≰10222212+⫏≰2020202=⫏≰20020121","layer":3},{"info":"⊥⫏≰2211120=NaN","layer":3},{"info":"⫏≰20020121⨎NaN=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":621,"expression_no_base_symbol":"(⪝⪂⫅((⫓⪴$4236$)⫥∨⫟(↽≂$7110$)))⊦⊿","expression":"(⪝⪂⫅((⫓⪴⫏≰12210220)⫥∨⫟(↽≂⫏≰100202100)))⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4403,"operation_count":5,"complexity_ratio":880.6,"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":4236,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7110,"base":3}}}}},"used_operators":["14qkJME0vr","XTarYq4gQB","KYD54nUTWz","eLxqMNBOBk","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4236","layer":4},{"info":"compute unary expreesion, input=4236, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=17943696","layer":3},{"info":"number node, value=7110","layer":4},{"info":"compute unary expreesion, input=7110, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-14220","layer":3},{"info":"compute binary expreesion, left_input=17943696, right_input=-14220, 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 unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⪝⪂⫅((⫓⪴⫏≰12210220)⫥∨⫟(↽≂⫏≰100202100)))⊦⊿=NaN","reverse_text":"NaN=(⪝⪂⫅((⫓⪴⫏≰12210220)⫥∨⫟(↽≂⫏≰100202100)))⊦⊿","cot":[{"info":"⫓⪴⫏≰12210220=⫏≰1020202122010100","layer":3},{"info":"↽≂⫏≰100202100=⫏≰-201111200","layer":3},{"info":"⫏≰1020202122010100⫥∨⫟⫏≰-201111200=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":622,"expression_no_base_symbol":"(↥$2114$⨪↰⇹$4098$⋥≓≎(⩦⩻⨪$3091$))≫≃","expression":"(↥⫏≰2220022⨪↰⇹⫏≰12121210⋥≓≎(⩦⩻⨪⫏≰11020111))≫≃","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2208,"operation_count":5,"complexity_ratio":441.6,"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":2114,"base":3},"right_expr":{"type":"numeric_atoms","value":4098,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3091,"base":3}}}}},"used_operators":["X99M06cbEe","A8NUZmVepG","Qy55tPpLXF","tmPS8pqC7x","2td37pGCOC"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰1222110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2114","layer":4},{"info":"number node, value=4098","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=4098, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2114","layer":3},{"info":"number node, value=3091","layer":4},{"info":"compute unary expreesion, input=3091, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3091","layer":3},{"info":"compute binary expreesion, left_input=2114, right_input=3091, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4101","layer":2},{"info":"compute unary expreesion, input=4101, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=21","layer":1},{"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=1443","layer":0}],"base":3,"result_base":3,"text":"(↥⫏≰2220022⨪↰⇹⫏≰12121210⋥≓≎(⩦⩻⨪⫏≰11020111))≫≃=⫏≰1222110","reverse_text":"⫏≰1222110=(↥⫏≰2220022⨪↰⇹⫏≰12121210⋥≓≎(⩦⩻⨪⫏≰11020111))≫≃","cot":[{"info":"⫏≰2220022⨪↰⇹⫏≰12121210=⫏≰2220022","layer":3},{"info":"⩦⩻⨪⫏≰11020111=⫏≰11020111","layer":3},{"info":"⫏≰2220022⋥≓≎⫏≰11020111=⫏≰12121220","layer":2},{"info":"↥⫏≰12121220=⫏≰210","layer":1},{"info":"⫏≰210≫≃=⫏≰1222110","layer":0}]}
{"id":623,"expression_no_base_symbol":"⨑⩽⪐((↽≂$6467$)↙(⇁⨣⪵$3505$))≹⇙⪍(($1280$⪒$3746$)≎⊠⪸($1502$⋷$2767$))","expression":"⨑⩽⪐((↽≂⫏≰22212112)↙(⇁⨣⪵⫏≰11210211))≹⇙⪍((⫏≰1202102⪒⫏≰12010202)≎⊠⪸(⫏≰2001122⋷⫏≰10210111))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":290,"operation_count":8,"complexity_ratio":36.25,"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":6467,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3505,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1280,"base":3},"right_expr":{"type":"numeric_atoms","value":3746,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1502,"base":3},"right_expr":{"type":"numeric_atoms","value":2767,"base":3}}}}},"used_operators":["AF7qkfDlqP","AHs5Up7iyr","yyfyN0ffXY","u6S6b8DprG","inkyxCbjAn","bJkvcejdHO","f6k1SAg4EE","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6467","layer":4},{"info":"compute unary expreesion, input=6467, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-12934","layer":3},{"info":"number node, value=3505","layer":4},{"info":"compute unary expreesion, input=3505, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12934, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12934","layer":2},{"info":"number node, value=1280","layer":4},{"info":"number node, value=3746","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=3746, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5026","layer":3},{"info":"number node, value=1502","layer":4},{"info":"number node, value=2767","layer":4},{"info":"compute binary expreesion, left_input=1502, right_input=2767, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4032","layer":3},{"info":"compute binary expreesion, left_input=-5026, right_input=4032, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1301734","layer":2},{"info":"compute binary expreesion, left_input=-12934, right_input=1301734, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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":3,"result_base":3,"text":"⨑⩽⪐((↽≂⫏≰22212112)↙(⇁⨣⪵⫏≰11210211))≹⇙⪍((⫏≰1202102⪒⫏≰12010202)≎⊠⪸(⫏≰2001122⋷⫏≰10210111))=NaN","reverse_text":"NaN=⨑⩽⪐((↽≂⫏≰22212112)↙(⇁⨣⪵⫏≰11210211))≹⇙⪍((⫏≰1202102⪒⫏≰12010202)≎⊠⪸(⫏≰2001122⋷⫏≰10210111))","cot":[{"info":"↽≂⫏≰22212112=⫏≰-122202001","layer":3},{"info":"⇁⨣⪵⫏≰11210211=NaN","layer":3},{"info":"⫏≰-122202001↙NaN=⫏≰-122202001","layer":2},{"info":"⫏≰1202102⪒⫏≰12010202=⫏≰-20220011","layer":3},{"info":"⫏≰2001122⋷⫏≰10210111=⫏≰12112100","layer":3},{"info":"⫏≰-20220011≎⊠⪸⫏≰12112100=⫏≰2110010122101","layer":2},{"info":"⫏≰-122202001≹⇙⪍⫏≰2110010122101=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":624,"expression_no_base_symbol":"(↔($1795$≹⇙⪍$2790$≭($1017$⪄$1025$)))≋⫹","expression":"(↔(⫏≰2110111≹⇙⪍⫏≰10211100≭(⫏≰1101200⪄⫏≰1101222)))≋⫹","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":122,"operation_count":5,"complexity_ratio":24.4,"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":1795,"base":3},"right_expr":{"type":"numeric_atoms","value":2790,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1017,"base":3},"right_expr":{"type":"numeric_atoms","value":1025,"base":3}}}}},"used_operators":["N41Kp7NANJ","ruOEQAzv1W","rxpJgHHUmx","AHs5Up7iyr","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫏≰100221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1795","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=2790, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1017","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1025, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-150705","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-150705, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":"compute unary expreesion, input=-134, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=268","layer":0}],"base":3,"result_base":3,"text":"(↔(⫏≰2110111≹⇙⪍⫏≰10211100≭(⫏≰1101200⪄⫏≰1101222)))≋⫹=⫏≰100221","reverse_text":"⫏≰100221=(↔(⫏≰2110111≹⇙⪍⫏≰10211100≭(⫏≰1101200⪄⫏≰1101222)))≋⫹","cot":[{"info":"⫏≰2110111≹⇙⪍⫏≰10211100=NaN","layer":3},{"info":"⫏≰1101200⪄⫏≰1101222=⫏≰-21122201200","layer":3},{"info":"NaN≭⫏≰-21122201200=NaN","layer":2},{"info":"↔NaN=⫏≰-11222","layer":1},{"info":"⫏≰-11222≋⫹=⫏≰100221","layer":0}]}
{"id":625,"expression_no_base_symbol":"$1179$⩚⊴⇥$2637$+⇶⊼$2152$⨓$4737$⊭↱(↯⪼$1150$)∀⇚≩($2032$⨸⪁$1576$)/(-(≉$3433$)⨓($1044$⋝⋈⪟$3258$))","expression":"⫏≰1121200⩚⊴⇥⫏≰10121200+⇶⊼⫏≰2221201⨓⫏≰20111110⊭↱(↯⪼⫏≰1120121)∀⇚≩(⫏≰2210021⨸⪁⫏≰2011101)/(-(≉⫏≰11201011)⨓(⫏≰1102200⋝⋈⪟⫏≰11110200))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5991,"operation_count":12,"complexity_ratio":499.25,"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":1179,"base":3},"right_expr":{"type":"numeric_atoms","value":2637,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2152,"base":3},"right_expr":{"type":"numeric_atoms","value":4737,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1150,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2032,"base":3},"right_expr":{"type":"numeric_atoms","value":1576,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3433,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1044,"base":3},"right_expr":{"type":"numeric_atoms","value":3258,"base":3}}}}},"used_operators":["XhwjNDsVaA","COABgblf1C","TpPTUOHfaN","NTOWxs364D","3ViojmjbAp","LRNGc0VcxI","8jW3W4yZS5","g55IO6H4Gj","t8gj7n24qd","e1ybzncUwg","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1179","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=2637, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3937","layer":3},{"info":"number node, value=2152","layer":4},{"info":"number node, value=4737","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=4737, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4740","layer":3},{"info":"compute binary expreesion, left_input=-3937, right_input=-4740, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1150","layer":4},{"info":"compute unary expreesion, input=1150, 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=2032","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=1576, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7216","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=7216, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=3433","layer":4},{"info":"compute unary expreesion, input=3433, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3964","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=3258","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=3258, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1044","layer":3},{"info":"compute binary expreesion, left_input=3964, right_input=1044, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1047","layer":2},{"info":"compute unary expreesion, input=-1047, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1047","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1047, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫏≰1121200⩚⊴⇥⫏≰10121200+⇶⊼⫏≰2221201⨓⫏≰20111110⊭↱(↯⪼⫏≰1120121)∀⇚≩(⫏≰2210021⨸⪁⫏≰2011101)/(-(≉⫏≰11201011)⨓(⫏≰1102200⋝⋈⪟⫏≰11110200))=NaN","reverse_text":"NaN=⫏≰1121200⩚⊴⇥⫏≰10121200+⇶⊼⫏≰2221201⨓⫏≰20111110⊭↱(↯⪼⫏≰1120121)∀⇚≩(⫏≰2210021⨸⪁⫏≰2011101)/(-(≉⫏≰11201011)⨓(⫏≰1102200⋝⋈⪟⫏≰11110200))","cot":[{"info":"⫏≰1121200⩚⊴⇥⫏≰10121200=⫏≰-12101211","layer":3},{"info":"⫏≰2221201⨓⫏≰20111110=⫏≰-20111120","layer":3},{"info":"⫏≰-12101211+⇶⊼⫏≰-20111120=NaN","layer":2},{"info":"↯⪼⫏≰1120121=⫏≰-210","layer":3},{"info":"⫏≰2210021⨸⪁⫏≰2011101=⫏≰100220021","layer":3},{"info":"⫏≰-210∀⇚≩⫏≰100220021=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"≉⫏≰11201011=⫏≰12102211","layer":3},{"info":"⫏≰1102200⋝⋈⪟⫏≰11110200=⫏≰1102200","layer":3},{"info":"⫏≰12102211⨓⫏≰1102200=⫏≰-1102210","layer":2},{"info":"-⫏≰-1102210=⫏≰1102210","layer":1},{"info":"NaN/⫏≰1102210=NaN","layer":0}]}
{"id":626,"expression_no_base_symbol":"-($1571$⊭↱$6980$)↙$3918$⩷∴$6122$↺($2185$⨽$2061$⪨≂$3319$⨟⋌⩍$1328$)","expression":"-(⫏≰2011012⊭↱⫏≰100120112)↙⫏≰12101010⩷∴⫏≰22101202↺(⫏≰2222221⨽⫏≰2211100⪨≂⫏≰11112221⨟⋌⩍⫏≰1211012)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6658,"operation_count":8,"complexity_ratio":832.25,"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":1571,"base":3},"right_expr":{"type":"numeric_atoms","value":6980,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3918,"base":3},"right_expr":{"type":"numeric_atoms","value":6122,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2185,"base":3},"right_expr":{"type":"numeric_atoms","value":2061,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3319,"base":3},"right_expr":{"type":"numeric_atoms","value":1328,"base":3}}}}},"used_operators":["t8gj7n24qd","7j4O788W3g","yyfyN0ffXY","COABgblf1C","9FxExcQeMw","sdazOOVcIp","8HhzD0ZcuI","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1571","layer":4},{"info":"number node, value=6980","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=6980, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10823","layer":3},{"info":"number node, value=3918","layer":4},{"info":"number node, value=6122","layer":4},{"info":"compute binary expreesion, left_input=3918, right_input=6122, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4440","layer":3},{"info":"compute binary expreesion, left_input=10823, right_input=-4440, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=13320","layer":2},{"info":"number node, value=2185","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=2061, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14327544","layer":3},{"info":"number node, value=3319","layer":4},{"info":"number node, value=1328","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=1328, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-14327544, 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=13320, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"-(⫏≰2011012⊭↱⫏≰100120112)↙⫏≰12101010⩷∴⫏≰22101202↺(⫏≰2222221⨽⫏≰2211100⪨≂⫏≰11112221⨟⋌⩍⫏≰1211012)=NaN","reverse_text":"NaN=-(⫏≰2011012⊭↱⫏≰100120112)↙⫏≰12101010⩷∴⫏≰22101202↺(⫏≰2222221⨽⫏≰2211100⪨≂⫏≰11112221⨟⋌⩍⫏≰1211012)","cot":[{"info":"⫏≰2011012⊭↱⫏≰100120112=⫏≰112211212","layer":3},{"info":"⫏≰12101010⩷∴⫏≰22101202=⫏≰-20002110","layer":3},{"info":"⫏≰112211212↙⫏≰-20002110=⫏≰200021100","layer":2},{"info":"⫏≰2222221⨽⫏≰2211100=⫏≰-222221220200210","layer":3},{"info":"⫏≰11112221⨟⋌⩍⫏≰1211012=NaN","layer":3},{"info":"⫏≰-222221220200210⪨≂NaN=NaN","layer":2},{"info":"⫏≰200021100↺NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":627,"expression_no_base_symbol":"((≤/($1876$⊉≛↸$4353$))⋥≓≎(+⊝⨔($2937$⋳⪒$1371$)))≎⊠⪸(($4367$≧⫂∧$1825$)⪘⫢$5877$⇷$2786$)⊴($2120$∼$1605$∼($3780$≦≮≮))","expression":"((≤/(⫏≰2120111⊉≛↸⫏≰12222020))⋥≓≎(+⊝⨔(⫏≰11000210⋳⪒⫏≰1212210)))≎⊠⪸((⫏≰12222202≧⫂∧⫏≰2111121)⪘⫢⫏≰22001200⇷⫏≰10211012)⊴(⫏≰2220112∼⫏≰2012110∼(⫏≰12012000≦≮≮))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":82419,"operation_count":13,"complexity_ratio":6339.923076923077,"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":1876,"base":3},"right_expr":{"type":"numeric_atoms","value":4353,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2937,"base":3},"right_expr":{"type":"numeric_atoms","value":1371,"base":3}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4367,"base":3},"right_expr":{"type":"numeric_atoms","value":1825,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5877,"base":3},"right_expr":{"type":"numeric_atoms","value":2786,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2120,"base":3},"right_expr":{"type":"numeric_atoms","value":1605,"base":3}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3780,"base":3}}}}},"used_operators":["bJkvcejdHO","Qy55tPpLXF","eLAdDNolq6","DZ8iAZOCBD","DhbWaqg5eL","12rbrZMWeM","Nsiff2A1zJ","oacrs7FA3X","Ph9nP6C5qx","mp7IySMOzn","DyGG3AbaNP","D4vGDi5EA2"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1876","layer":4},{"info":"number node, value=4353","layer":4},{"info":"compute binary expreesion, left_input=1876, right_input=4353, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3752","layer":3},{"info":"compute unary expreesion, input=3752, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3268","layer":2},{"info":"number node, value=2937","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=2937, right_input=1371, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4216","layer":3},{"info":"compute unary expreesion, input=4216, 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=-3268, 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":"number node, value=4367","layer":4},{"info":"number node, value=1825","layer":4},{"info":"compute binary expreesion, left_input=4367, right_input=1825, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1352","layer":3},{"info":"number node, value=5877","layer":4},{"info":"number node, value=2786","layer":4},{"info":"compute binary expreesion, left_input=5877, right_input=2786, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5572","layer":3},{"info":"compute binary expreesion, left_input=1352, right_input=5572, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2580","layer":2},{"info":"number node, value=2120","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=1605, 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=3780","layer":4},{"info":"compute unary expreesion, input=3780, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11340","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11340, 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=2580, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, 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":3,"result_base":3,"text":"((≤/(⫏≰2120111⊉≛↸⫏≰12222020))⋥≓≎(+⊝⨔(⫏≰11000210⋳⪒⫏≰1212210)))≎⊠⪸((⫏≰12222202≧⫂∧⫏≰2111121)⪘⫢⫏≰22001200⇷⫏≰10211012)⊴(⫏≰2220112∼⫏≰2012110∼(⫏≰12012000≦≮≮))=⫏≰2111","reverse_text":"⫏≰2111=((≤/(⫏≰2120111⊉≛↸⫏≰12222020))⋥≓≎(+⊝⨔(⫏≰11000210⋳⪒⫏≰1212210)))≎⊠⪸((⫏≰12222202≧⫂∧⫏≰2111121)⪘⫢⫏≰22001200⇷⫏≰10211012)⊴(⫏≰2220112∼⫏≰2012110∼(⫏≰12012000≦≮≮))","cot":[{"info":"⫏≰2120111⊉≛↸⫏≰12222020=⫏≰12010222","layer":3},{"info":"≤/⫏≰12010222=⫏≰-11111001","layer":2},{"info":"⫏≰11000210⋳⪒⫏≰1212210=⫏≰12210011","layer":3},{"info":"+⊝⨔⫏≰12210011=⫏≰2002101","layer":2},{"info":"⫏≰-11111001⋥≓≎⫏≰2002101=⫏≰2111","layer":1},{"info":"⫏≰12222202≧⫂∧⫏≰2111121=⫏≰1212002","layer":3},{"info":"⫏≰22001200⇷⫏≰10211012=⫏≰21122101","layer":3},{"info":"⫏≰1212002⪘⫢⫏≰21122101=⫏≰10112120","layer":2},{"info":"⫏≰2220112∼⫏≰2012110=NaN","layer":3},{"info":"⫏≰12012000≦≮≮=⫏≰-120120000","layer":3},{"info":"NaN∼⫏≰-120120000=NaN","layer":2},{"info":"⫏≰10112120⊴NaN=NaN","layer":1},{"info":"⫏≰2111≎⊠⪸NaN=⫏≰2111","layer":0}]}
{"id":628,"expression_no_base_symbol":"(⊙↵-(⇁⨣⪵$2871$≹⇙⪍$5043$))%(⫛⫱⨽((⊥$1434$)∼($8083$∼$3078$)))","expression":"(⊙↵-(⇁⨣⪵⫏≰10221100≹⇙⪍⫏≰20220210))%(⫛⫱⨽((⊥⫏≰1222010)∼(⫏≰102002101∼⫏≰11020000)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1106,"operation_count":8,"complexity_ratio":138.25,"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":2871,"base":3},"right_expr":{"type":"numeric_atoms","value":5043,"base":3}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1434,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8083,"base":3},"right_expr":{"type":"numeric_atoms","value":3078,"base":3}}}}},"used_operators":["k8jYdgA6NY","oWn0xqSxBt","inkyxCbjAn","AHs5Up7iyr","DlLNRPXxWL","DyGG3AbaNP","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","dWAJyo7jo9","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2871","layer":4},{"info":"number node, value=5043","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=5043, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"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=1434","layer":4},{"info":"compute unary expreesion, input=1434, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=8083","layer":4},{"info":"number node, value=3078","layer":4},{"info":"compute binary expreesion, left_input=8083, right_input=3078, 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 = 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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":3,"result_base":3,"text":"(⊙↵-(⇁⨣⪵⫏≰10221100≹⇙⪍⫏≰20220210))%(⫛⫱⨽((⊥⫏≰1222010)∼(⫏≰102002101∼⫏≰11020000)))=NaN","reverse_text":"NaN=(⊙↵-(⇁⨣⪵⫏≰10221100≹⇙⪍⫏≰20220210))%(⫛⫱⨽((⊥⫏≰1222010)∼(⫏≰102002101∼⫏≰11020000)))","cot":[{"info":"⫏≰10221100≹⇙⪍⫏≰20220210=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⊥⫏≰1222010=NaN","layer":3},{"info":"⫏≰102002101∼⫏≰11020000=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":629,"expression_no_base_symbol":"($2597$⨐⩸⫘$4560$)≭$2048$≧⫂∧$1749$≭($1839$⩤)≹⇙⪍($4108$⩚⊴⇥$1098$)⨸⪁(∥⊫$4502$)⨐⩸⫘($5127$∲⫓$1388$)↺($1808$⪨≂$1688$)+⇶⊼$1916$≧⫂∧$2375$","expression":"(⫏≰10120012⨐⩸⫘⫏≰20020220)≭⫏≰2210212≧⫂∧⫏≰2101210≭(⫏≰2112010⩤)≹⇙⪍(⫏≰12122011⩚⊴⇥⫏≰1111200)⨸⪁(∥⊫⫏≰20011202)⨐⩸⫘(⫏≰21000220∲⫓⫏≰1220102)↺(⫏≰2110222⪨≂⫏≰2022112)+⇶⊼⫏≰2121222≧⫂∧⫏≰10020222","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":28,"operation_count":15,"complexity_ratio":1.8666666666666667,"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":2597,"base":3},"right_expr":{"type":"numeric_atoms","value":4560,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2048,"base":3},"right_expr":{"type":"numeric_atoms","value":1749,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1839,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4108,"base":3},"right_expr":{"type":"numeric_atoms","value":1098,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4502,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5127,"base":3},"right_expr":{"type":"numeric_atoms","value":1388,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1808,"base":3},"right_expr":{"type":"numeric_atoms","value":1688,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1916,"base":3},"right_expr":{"type":"numeric_atoms","value":2375,"base":3}}}}},"used_operators":["g55IO6H4Gj","rxpJgHHUmx","fu6greOZ01","Ph9nP6C5qx","AHs5Up7iyr","Z2TMIBDE3Q","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","i8ToyICDmI","TpPTUOHfaN","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2597","layer":4},{"info":"number node, value=4560","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=4560, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2048","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=2048, right_input=1749, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1276","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1276, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1839","layer":4},{"info":"compute unary expreesion, input=1839, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1839","layer":3},{"info":"number node, value=4108","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=4108, right_input=1098, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5327","layer":3},{"info":"compute binary expreesion, left_input=-1839, right_input=-5327, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4502","layer":4},{"info":"compute unary expreesion, input=4502, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5370","layer":3},{"info":"number node, value=5127","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=5127, right_input=1388, 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=5370, 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=5370","layer":2},{"info":"number node, value=1808","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=1808, right_input=1688, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=342","layer":3},{"info":"number node, value=1916","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=2375, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1902","layer":3},{"info":"compute binary expreesion, left_input=342, right_input=1902, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=5370, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10120012⨐⩸⫘⫏≰20020220)≭⫏≰2210212≧⫂∧⫏≰2101210≭(⫏≰2112010⩤)≹⇙⪍(⫏≰12122011⩚⊴⇥⫏≰1111200)⨸⪁(∥⊫⫏≰20011202)⨐⩸⫘(⫏≰21000220∲⫓⫏≰1220102)↺(⫏≰2110222⪨≂⫏≰2022112)+⇶⊼⫏≰2121222≧⫂∧⫏≰10020222=NaN","reverse_text":"NaN=(⫏≰10120012⨐⩸⫘⫏≰20020220)≭⫏≰2210212≧⫂∧⫏≰2101210≭(⫏≰2112010⩤)≹⇙⪍(⫏≰12122011⩚⊴⇥⫏≰1111200)⨸⪁(∥⊫⫏≰20011202)⨐⩸⫘(⫏≰21000220∲⫓⫏≰1220102)↺(⫏≰2110222⪨≂⫏≰2022112)+⇶⊼⫏≰2121222≧⫂∧⫏≰10020222","cot":[{"info":"⫏≰10120012⨐⩸⫘⫏≰20020220=NaN","layer":3},{"info":"⫏≰2210212≧⫂∧⫏≰2101210=⫏≰1202021","layer":3},{"info":"NaN≭⫏≰1202021=NaN","layer":2},{"info":"⫏≰2112010⩤=⫏≰-2112010","layer":3},{"info":"⫏≰12122011⩚⊴⇥⫏≰1111200=⫏≰-21022022","layer":3},{"info":"⫏≰-2112010≹⇙⪍⫏≰-21022022=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"∥⊫⫏≰20011202=⫏≰21100220","layer":3},{"info":"⫏≰21000220∲⫓⫏≰1220102=⫏≰0","layer":3},{"info":"⫏≰21100220⨐⩸⫘⫏≰0=⫏≰21100220","layer":2},{"info":"⫏≰2110222⪨≂⫏≰2022112=⫏≰110200","layer":3},{"info":"⫏≰2121222≧⫂∧⫏≰10020222=⫏≰2121110","layer":3},{"info":"⫏≰110200+⇶⊼⫏≰2121110=NaN","layer":2},{"info":"⫏≰21100220↺NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":630,"expression_no_base_symbol":"≉($1332$⫸⊐$2103$)≧⫂∧(⇁⨣⪵$1575$)⨐⩸⫘(⊥($1981$⫸⊐$2707$))","expression":"≉(⫏≰1211100⫸⊐⫏≰2212220)≧⫂∧(⇁⨣⪵⫏≰2011100)⨐⩸⫘(⊥(⫏≰2201101⫸⊐⫏≰10201021))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":53,"operation_count":7,"complexity_ratio":7.571428571428571,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1332,"base":3},"right_expr":{"type":"numeric_atoms","value":2103,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1575,"base":3}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1981,"base":3},"right_expr":{"type":"numeric_atoms","value":2707,"base":3}}}}},"used_operators":["e1ybzncUwg","fu6greOZ01","Ph9nP6C5qx","mqXw5SEYmG","inkyxCbjAn","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1332","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=2103, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8287","layer":3},{"info":"number node, value=1575","layer":4},{"info":"compute unary expreesion, input=1575, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8287, 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=1981","layer":4},{"info":"number node, value=2707","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=2707, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10703","layer":3},{"info":"compute unary expreesion, input=10703, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"≉(⫏≰1211100⫸⊐⫏≰2212220)≧⫂∧(⇁⨣⪵⫏≰2011100)⨐⩸⫘(⊥(⫏≰2201101⫸⊐⫏≰10201021))=NaN","reverse_text":"NaN=≉(⫏≰1211100⫸⊐⫏≰2212220)≧⫂∧(⇁⨣⪵⫏≰2011100)⨐⩸⫘(⊥(⫏≰2201101⫸⊐⫏≰10201021))","cot":[{"info":"⫏≰1211100⫸⊐⫏≰2212220=⫏≰102100221","layer":3},{"info":"⇁⨣⪵⫏≰2011100=NaN","layer":3},{"info":"⫏≰102100221≧⫂∧NaN=NaN","layer":2},{"info":"⫏≰2201101⫸⊐⫏≰10201021=⫏≰112200102","layer":3},{"info":"⊥⫏≰112200102=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":631,"expression_no_base_symbol":"(($3779$⨁⊸⫻)≭($4567$↙$2352$))⪢($1244$⨓$1085$-$2211$⫥∨⫟$3369$)∼((≦∁$1677$∼$5338$)⪛(($9233$⊭↱$1799$)↬$8743$⪛$2832$))","expression":"((⫏≰12011222⨁⊸⫻)≭(⫏≰20021011↙⫏≰10020010))⪢(⫏≰1201002⨓⫏≰1111012-⫏≰10000220⫥∨⫟⫏≰11121210)∼((≦∁⫏≰2022010∼⫏≰21022201)⪛((⫏≰110122222⊭↱⫏≰2110122)↬⫏≰102222211⪛⫏≰10212220))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3659,"operation_count":14,"complexity_ratio":261.35714285714283,"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":3779,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4567,"base":3},"right_expr":{"type":"numeric_atoms","value":2352,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1244,"base":3},"right_expr":{"type":"numeric_atoms","value":1085,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2211,"base":3},"right_expr":{"type":"numeric_atoms","value":3369,"base":3}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1677,"base":3},"right_expr":{"type":"numeric_atoms","value":5338,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":9233,"base":3},"right_expr":{"type":"numeric_atoms","value":1799,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8743,"base":3},"right_expr":{"type":"numeric_atoms","value":2832,"base":3}}}}},"used_operators":["DyGG3AbaNP","dWAJyo7jo9","rxpJgHHUmx","glklzrTFfD","yyfyN0ffXY","rysDP5nf3Z","3ViojmjbAp","KYD54nUTWz","uFcxV4UQCh","9ICcGScMcE","B5M0gjZbta","COABgblf1C"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3779","layer":4},{"info":"compute unary expreesion, input=3779, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3779","layer":3},{"info":"number node, value=4567","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=4567, right_input=2352, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7056","layer":3},{"info":"compute binary expreesion, left_input=3779, right_input=-7056, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1244","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=1085, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1088","layer":3},{"info":"number node, value=2211","layer":4},{"info":"number node, value=3369","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=3369, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1088, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1677","layer":4},{"info":"number node, value=5338","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=5338, 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 = 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=9233","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=9233, right_input=1799, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-14863","layer":3},{"info":"number node, value=8743","layer":4},{"info":"number node, value=2832","layer":4},{"info":"compute binary expreesion, left_input=8743, right_input=2832, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=247","layer":3},{"info":"compute binary expreesion, left_input=-14863, right_input=247, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12011222⨁⊸⫻)≭(⫏≰20021011↙⫏≰10020010))⪢(⫏≰1201002⨓⫏≰1111012-⫏≰10000220⫥∨⫟⫏≰11121210)∼((≦∁⫏≰2022010∼⫏≰21022201)⪛((⫏≰110122222⊭↱⫏≰2110122)↬⫏≰102222211⪛⫏≰10212220))=NaN","reverse_text":"NaN=((⫏≰12011222⨁⊸⫻)≭(⫏≰20021011↙⫏≰10020010))⪢(⫏≰1201002⨓⫏≰1111012-⫏≰10000220⫥∨⫟⫏≰11121210)∼((≦∁⫏≰2022010∼⫏≰21022201)⪛((⫏≰110122222⊭↱⫏≰2110122)↬⫏≰102222211⪛⫏≰10212220))","cot":[{"info":"⫏≰12011222⨁⊸⫻=⫏≰12011222","layer":3},{"info":"⫏≰20021011↙⫏≰10020010=⫏≰-100200100","layer":3},{"info":"⫏≰12011222≭⫏≰-100200100=NaN","layer":2},{"info":"⫏≰1201002⨓⫏≰1111012=⫏≰-1111022","layer":3},{"info":"⫏≰10000220⫥∨⫟⫏≰11121210=NaN","layer":3},{"info":"⫏≰-1111022-NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⫏≰2022010∼⫏≰21022201=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⫏≰110122222⊭↱⫏≰2110122=⫏≰-202101111","layer":3},{"info":"⫏≰102222211⪛⫏≰10212220=⫏≰100011","layer":3},{"info":"⫏≰-202101111↬⫏≰100011=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":632,"expression_no_base_symbol":"($5585$⋳⪒$4501$⨎($1064$⨳⩥⨓$4774$)/($3726$⨵⪆$1359$)⩚⊴⇥$1971$∼$4757$)⊴(⨈⫕($3052$⪨≂$3942$)∀⇚≩($2086$+$1141$))","expression":"(⫏≰21122212⋳⪒⫏≰20011201⨎(⫏≰1110102⨳⩥⨓⫏≰20112211)/(⫏≰12010000⨵⪆⫏≰1212100)⩚⊴⇥⫏≰2201000∼⫏≰20112012)⊴(⨈⫕(⫏≰11012001⪨≂⫏≰12102000)∀⇚≩(⫏≰2212021+⫏≰1120021))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12221,"operation_count":12,"complexity_ratio":1018.4166666666666,"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":5585,"base":3},"right_expr":{"type":"numeric_atoms","value":4501,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1064,"base":3},"right_expr":{"type":"numeric_atoms","value":4774,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3726,"base":3},"right_expr":{"type":"numeric_atoms","value":1359,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1971,"base":3},"right_expr":{"type":"numeric_atoms","value":4757,"base":3}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3052,"base":3},"right_expr":{"type":"numeric_atoms","value":3942,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2086,"base":3},"right_expr":{"type":"numeric_atoms","value":1141,"base":3}}}}},"used_operators":["Nsiff2A1zJ","XhwjNDsVaA","rJVOvQCfKK","12rbrZMWeM","nCS4ZIUYfx","NTOWxs364D","2DQ55sFlQl","DyGG3AbaNP","megm06wKyl","LRNGc0VcxI","sdazOOVcIp","W4YGzv6Whe"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5585","layer":4},{"info":"number node, value=4501","layer":4},{"info":"compute binary expreesion, left_input=5585, right_input=4501, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6382","layer":3},{"info":"number node, value=1064","layer":4},{"info":"number node, value=4774","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=4774, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3710","layer":3},{"info":"compute binary expreesion, left_input=6382, right_input=3710, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3710","layer":2},{"info":"number node, value=3726","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=3726, right_input=1359, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1971","layer":4},{"info":"number node, value=4757","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=4757, 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=160, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3710, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3052","layer":4},{"info":"number node, value=3942","layer":4},{"info":"compute binary expreesion, left_input=3052, right_input=3942, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1678","layer":3},{"info":"number node, value=2086","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=2086, right_input=1141, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3227","layer":3},{"info":"compute binary expreesion, left_input=-1678, right_input=3227, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21122212⋳⪒⫏≰20011201⨎(⫏≰1110102⨳⩥⨓⫏≰20112211)/(⫏≰12010000⨵⪆⫏≰1212100)⩚⊴⇥⫏≰2201000∼⫏≰20112012)⊴(⨈⫕(⫏≰11012001⪨≂⫏≰12102000)∀⇚≩(⫏≰2212021+⫏≰1120021))=NaN","reverse_text":"NaN=(⫏≰21122212⋳⪒⫏≰20011201⨎(⫏≰1110102⨳⩥⨓⫏≰20112211)/(⫏≰12010000⨵⪆⫏≰1212100)⩚⊴⇥⫏≰2201000∼⫏≰20112012)⊴(⨈⫕(⫏≰11012001⪨≂⫏≰12102000)∀⇚≩(⫏≰2212021+⫏≰1120021))","cot":[{"info":"⫏≰21122212⋳⪒⫏≰20011201=⫏≰22202101","layer":3},{"info":"⫏≰1110102⨳⩥⨓⫏≰20112211=⫏≰12002102","layer":3},{"info":"⫏≰22202101⨎⫏≰12002102=⫏≰12002102","layer":2},{"info":"⫏≰12010000⨵⪆⫏≰1212100=⫏≰12221","layer":3},{"info":"⫏≰2201000∼⫏≰20112012=NaN","layer":3},{"info":"⫏≰12221⩚⊴⇥NaN=NaN","layer":2},{"info":"⫏≰12002102/NaN=NaN","layer":1},{"info":"⫏≰11012001⪨≂⫏≰12102000=⫏≰-2022011","layer":3},{"info":"⫏≰2212021+⫏≰1120021=⫏≰11102112","layer":3},{"info":"⫏≰-2022011∀⇚≩⫏≰11102112=NaN","layer":2},{"info":"⨈⫕NaN=⫏≰-210","layer":1},{"info":"NaN⊴⫏≰-210=NaN","layer":0}]}
{"id":633,"expression_no_base_symbol":"(↩(⫛⫱⨽($1005$⨎$1232$)))≧⫂∧((≤/$6269$)⪮%⊝($2545$⊠≄⫣)+⇶⊼(($1011$⨐⩸⫘$1042$)+⇶⊼(↩$3153$)))","expression":"(↩(⫛⫱⨽(⫏≰1101020⨎⫏≰1200122)))≧⫂∧((≤/⫏≰22121012)⪮%⊝(⫏≰10111021⊠≄⫣)+⇶⊼((⫏≰1101110⨐⩸⫘⫏≰1102121)+⇶⊼(↩⫏≰11022210)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1475,"operation_count":11,"complexity_ratio":134.0909090909091,"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":1005,"base":3},"right_expr":{"type":"numeric_atoms","value":1232,"base":3}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6269,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2545,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1011,"base":3},"right_expr":{"type":"numeric_atoms","value":1042,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3153,"base":3}}}}},"used_operators":["Ph9nP6C5qx","jLgFTUHLKL","DlLNRPXxWL","rJVOvQCfKK","TpPTUOHfaN","IWmyXbctLI","eLAdDNolq6","DIvbN7qnHd","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1232, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1232","layer":3},{"info":"compute unary expreesion, input=1232, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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=6269","layer":4},{"info":"compute unary expreesion, input=6269, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5785","layer":3},{"info":"number node, value=2545","layer":4},{"info":"compute unary expreesion, input=2545, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5785, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1042, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3153","layer":4},{"info":"compute unary expreesion, input=3153, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-22444","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22444, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4844, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↩(⫛⫱⨽(⫏≰1101020⨎⫏≰1200122)))≧⫂∧((≤/⫏≰22121012)⪮%⊝(⫏≰10111021⊠≄⫣)+⇶⊼((⫏≰1101110⨐⩸⫘⫏≰1102121)+⇶⊼(↩⫏≰11022210)))=NaN","reverse_text":"NaN=(↩(⫛⫱⨽(⫏≰1101020⨎⫏≰1200122)))≧⫂∧((≤/⫏≰22121012)⪮%⊝(⫏≰10111021⊠≄⫣)+⇶⊼((⫏≰1101110⨐⩸⫘⫏≰1102121)+⇶⊼(↩⫏≰11022210)))","cot":[{"info":"⫏≰1101020⨎⫏≰1200122=⫏≰1200122","layer":3},{"info":"⫛⫱⨽⫏≰1200122=⫏≰0","layer":2},{"info":"↩⫏≰0=⫏≰20122102","layer":1},{"info":"≤/⫏≰22121012=⫏≰-21221021","layer":3},{"info":"⫏≰10111021⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰-21221021⪮%⊝⫏≰0=NaN","layer":2},{"info":"⫏≰1101110⨐⩸⫘⫏≰1102121=NaN","layer":3},{"info":"↩⫏≰11022210=⫏≰-1010210021","layer":3},{"info":"NaN+⇶⊼⫏≰-1010210021=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⫏≰20122102≧⫂∧NaN=NaN","layer":0}]}
{"id":634,"expression_no_base_symbol":"(($1020$∼$3036$)⊴($3159$⊪)⊉≛↸((⨰⫟⨤$3028$)⪒$4593$⪄$2098$))↙(($2974$↺$2972$⪨≂$1028$⊴$1894$)⇼⇔∾($6988$≎⊠⪸$4354$⪒($1853$⋷$1283$)))","expression":"((⫏≰1101210∼⫏≰11011110)⊴(⫏≰11100000⊪)⊉≛↸((⨰⫟⨤⫏≰11011011)⪒⫏≰20022010⪄⫏≰2212201))↙((⫏≰11002011↺⫏≰11002002⪨≂⫏≰1102002⊴⫏≰2121011)⇼⇔∾(⫏≰100120211≎⊠⪸⫏≰12222021⪒(⫏≰2112122⋷⫏≰1202112)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13622,"operation_count":15,"complexity_ratio":908.1333333333333,"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":1020,"base":3},"right_expr":{"type":"numeric_atoms","value":3036,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3159,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3028,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4593,"base":3},"right_expr":{"type":"numeric_atoms","value":2098,"base":3}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2974,"base":3},"right_expr":{"type":"numeric_atoms","value":2972,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1028,"base":3},"right_expr":{"type":"numeric_atoms","value":1894,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6988,"base":3},"right_expr":{"type":"numeric_atoms","value":4354,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1853,"base":3},"right_expr":{"type":"numeric_atoms","value":1283,"base":3}}}}},"used_operators":["yyfyN0ffXY","DZ8iAZOCBD","Nsiff2A1zJ","DyGG3AbaNP","zVYPLywUTj","f6k1SAg4EE","Tw270M8GLb","SUmda5xLS4","tifHPKVTfV","sdazOOVcIp","7j4O788W3g","bJkvcejdHO","23Mk6UjR3U"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"number node, value=3036","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3036, 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=3159","layer":4},{"info":"compute unary expreesion, input=3159, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=3028","layer":4},{"info":"compute unary expreesion, input=3028, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4593","layer":4},{"info":"number node, value=2098","layer":4},{"info":"compute binary expreesion, left_input=4593, right_input=2098, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-684245","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-684245, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-79, 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=2974","layer":4},{"info":"number node, value=2972","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=2972, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2972","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1894, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2972, 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=6988","layer":4},{"info":"number node, value=4354","layer":4},{"info":"compute binary expreesion, left_input=6988, right_input=4354, 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=1853","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=1853, right_input=1283, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=713","layer":3},{"info":"compute binary expreesion, left_input=1809419, right_input=713, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1810132","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1810132, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-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":3,"result_base":3,"text":"((⫏≰1101210∼⫏≰11011110)⊴(⫏≰11100000⊪)⊉≛↸((⨰⫟⨤⫏≰11011011)⪒⫏≰20022010⪄⫏≰2212201))↙((⫏≰11002011↺⫏≰11002002⪨≂⫏≰1102002⊴⫏≰2121011)⇼⇔∾(⫏≰100120211≎⊠⪸⫏≰12222021⪒(⫏≰2112122⋷⫏≰1202112)))=NaN","reverse_text":"NaN=((⫏≰1101210∼⫏≰11011110)⊴(⫏≰11100000⊪)⊉≛↸((⨰⫟⨤⫏≰11011011)⪒⫏≰20022010⪄⫏≰2212201))↙((⫏≰11002011↺⫏≰11002002⪨≂⫏≰1102002⊴⫏≰2121011)⇼⇔∾(⫏≰100120211≎⊠⪸⫏≰12222021⪒(⫏≰2112122⋷⫏≰1202112)))","cot":[{"info":"⫏≰1101210∼⫏≰11011110=NaN","layer":3},{"info":"⫏≰11100000⊪=⫏≰0","layer":3},{"info":"NaN⊴⫏≰0=⫏≰-2221","layer":2},{"info":"⨰⫟⨤⫏≰11011011=NaN","layer":3},{"info":"⫏≰20022010⪄⫏≰2212201=⫏≰-1021202121102","layer":3},{"info":"NaN⪒⫏≰-1021202121102=NaN","layer":2},{"info":"⫏≰-2221⊉≛↸NaN=NaN","layer":1},{"info":"⫏≰11002011↺⫏≰11002002=⫏≰11002002","layer":3},{"info":"⫏≰1102002⊴⫏≰2121011=NaN","layer":3},{"info":"⫏≰11002002⪨≂NaN=NaN","layer":2},{"info":"⫏≰100120211≎⊠⪸⫏≰12222021=⫏≰10101221001112","layer":3},{"info":"⫏≰2112122⋷⫏≰1202112=⫏≰222102","layer":3},{"info":"⫏≰10101221001112⪒⫏≰222102=⫏≰-10101222000221","layer":2},{"info":"NaN⇼⇔∾⫏≰-10101222000221=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":635,"expression_no_base_symbol":"((($2121$⪨≂$3438$)∸)+$2888$∀⇚≩$1202$⋝⋈⪟(↔$1253$))≧⫂∧(⇁⨣⪵(($6237$⊦⊿)⪒$5971$⇼⇔∾$1333$))","expression":"(((⫏≰2220120⪨≂⫏≰11201100)∸)+⫏≰10221222∀⇚≩⫏≰1122112⋝⋈⪟(↔⫏≰1201102))≧⫂∧(⇁⨣⪵((⫏≰22120000⊦⊿)⪒⫏≰22012011⇼⇔∾⫏≰1211101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20422,"operation_count":11,"complexity_ratio":1856.5454545454545,"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":2121,"base":3},"right_expr":{"type":"numeric_atoms","value":3438,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2888,"base":3},"right_expr":{"type":"numeric_atoms","value":1202,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1253,"base":3}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":6237,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5971,"base":3},"right_expr":{"type":"numeric_atoms","value":1333,"base":3}}}}},"used_operators":["Ph9nP6C5qx","W4YGzv6Whe","o20kRiQErp","sdazOOVcIp","2DDjHMKMc0","LRNGc0VcxI","ruOEQAzv1W","inkyxCbjAn","f6k1SAg4EE","14qkJME0vr","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2121","layer":4},{"info":"number node, value=3438","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=3438, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2532","layer":3},{"info":"compute unary expreesion, input=-2532, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=2888","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=1202, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1253","layer":4},{"info":"compute unary expreesion, input=1253, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-980","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-980, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6237","layer":4},{"info":"compute unary expreesion, input=6237, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-18790","layer":3},{"info":"number node, value=5971","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=5971, right_input=1333, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4638","layer":3},{"info":"compute binary expreesion, left_input=-18790, right_input=-4638, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=23428","layer":2},{"info":"compute unary expreesion, input=23428, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2220120⪨≂⫏≰11201100)∸)+⫏≰10221222∀⇚≩⫏≰1122112⋝⋈⪟(↔⫏≰1201102))≧⫂∧(⇁⨣⪵((⫏≰22120000⊦⊿)⪒⫏≰22012011⇼⇔∾⫏≰1211101))=NaN","reverse_text":"NaN=(((⫏≰2220120⪨≂⫏≰11201100)∸)+⫏≰10221222∀⇚≩⫏≰1122112⋝⋈⪟(↔⫏≰1201102))≧⫂∧(⇁⨣⪵((⫏≰22120000⊦⊿)⪒⫏≰22012011⇼⇔∾⫏≰1211101))","cot":[{"info":"⫏≰2220120⪨≂⫏≰11201100=⫏≰-10110210","layer":3},{"info":"⫏≰-10110210∸=⫏≰20120","layer":2},{"info":"⫏≰10221222∀⇚≩⫏≰1122112=NaN","layer":3},{"info":"↔⫏≰1201102=⫏≰-1100022","layer":3},{"info":"NaN⋝⋈⪟⫏≰-1100022=NaN","layer":2},{"info":"⫏≰20120+NaN=NaN","layer":1},{"info":"⫏≰22120000⊦⊿=⫏≰-221202221","layer":3},{"info":"⫏≰22012011⇼⇔∾⫏≰1211101=⫏≰-20100210","layer":3},{"info":"⫏≰-221202221⪒⫏≰-20100210=⫏≰1012010201","layer":2},{"info":"⇁⨣⪵⫏≰1012010201=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":636,"expression_no_base_symbol":"((⩦⩻⨪($6062$⪒$2122$))⨸⪁($7321$↙$1789$⊉≛↸$4697$⪢$1136$))⨟⋌⩍((⫓⪴($2997$⫸⊐$1223$))⨸⪁(∥⊫$7234$)⋥≓≎($2376$⨸⪁$2053$))","expression":"((⩦⩻⨪(⫏≰22022112⪒⫏≰2220121))⨸⪁(⫏≰101001011↙⫏≰2110021⊉≛↸⫏≰20102222⪢⫏≰1120002))⨟⋌⩍((⫓⪴(⫏≰11010000⫸⊐⫏≰1200022))⨸⪁(∥⊫⫏≰100220221)⋥≓≎(⫏≰10021000⨸⪁⫏≰2211001))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15967,"operation_count":13,"complexity_ratio":1228.2307692307693,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6062,"base":3},"right_expr":{"type":"numeric_atoms","value":2122,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7321,"base":3},"right_expr":{"type":"numeric_atoms","value":1789,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4697,"base":3},"right_expr":{"type":"numeric_atoms","value":1136,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2997,"base":3},"right_expr":{"type":"numeric_atoms","value":1223,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7234,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2376,"base":3},"right_expr":{"type":"numeric_atoms","value":2053,"base":3}}}}},"used_operators":["rGHVDoGpnC","g55IO6H4Gj","2td37pGCOC","f6k1SAg4EE","DZ8iAZOCBD","yyfyN0ffXY","dWAJyo7jo9","eLxqMNBOBk","mqXw5SEYmG","Qy55tPpLXF","P8v4zCKN1o"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6062","layer":4},{"info":"number node, value=2122","layer":4},{"info":"compute binary expreesion, left_input=6062, right_input=2122, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8184","layer":3},{"info":"compute unary expreesion, input=-8184, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-8184","layer":2},{"info":"number node, value=7321","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=7321, right_input=1789, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5367","layer":3},{"info":"number node, value=4697","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=4697, right_input=1136, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-5367, 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 binary expreesion, left_input=-8184, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=2997","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=2997, right_input=1223, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4767","layer":3},{"info":"compute unary expreesion, input=4767, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=22724289","layer":2},{"info":"number node, value=7234","layer":4},{"info":"compute unary expreesion, input=7234, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8102","layer":3},{"info":"number node, value=2376","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=2376, right_input=2053, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8858","layer":3},{"info":"compute binary expreesion, left_input=8102, right_input=8858, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9647","layer":2},{"info":"compute binary expreesion, left_input=22724289, right_input=9647, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=45467872","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=45467872, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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":3,"result_base":3,"text":"((⩦⩻⨪(⫏≰22022112⪒⫏≰2220121))⨸⪁(⫏≰101001011↙⫏≰2110021⊉≛↸⫏≰20102222⪢⫏≰1120002))⨟⋌⩍((⫓⪴(⫏≰11010000⫸⊐⫏≰1200022))⨸⪁(∥⊫⫏≰100220221)⋥≓≎(⫏≰10021000⨸⪁⫏≰2211001))=NaN","reverse_text":"NaN=((⩦⩻⨪(⫏≰22022112⪒⫏≰2220121))⨸⪁(⫏≰101001011↙⫏≰2110021⊉≛↸⫏≰20102222⪢⫏≰1120002))⨟⋌⩍((⫓⪴(⫏≰11010000⫸⊐⫏≰1200022))⨸⪁(∥⊫⫏≰100220221)⋥≓≎(⫏≰10021000⨸⪁⫏≰2211001))","cot":[{"info":"⫏≰22022112⪒⫏≰2220121=⫏≰-102020010","layer":3},{"info":"⩦⩻⨪⫏≰-102020010=⫏≰-102020010","layer":2},{"info":"⫏≰101001011↙⫏≰2110021=⫏≰-21100210","layer":3},{"info":"⫏≰20102222⪢⫏≰1120002=NaN","layer":3},{"info":"⫏≰-21100210⊉≛↸NaN=NaN","layer":2},{"info":"⫏≰-102020010⨸⪁NaN=NaN","layer":1},{"info":"⫏≰11010000⫸⊐⫏≰1200022=⫏≰20112120","layer":3},{"info":"⫓⪴⫏≰20112120=⫏≰1120202111212100","layer":2},{"info":"∥⊫⫏≰100220221=⫏≰102010002","layer":3},{"info":"⫏≰10021000⨸⪁⫏≰2211001=⫏≰110011002","layer":3},{"info":"⫏≰102010002⋥≓≎⫏≰110011002=⫏≰111020022","layer":2},{"info":"⫏≰1120202111212100⨸⪁⫏≰111020022=⫏≰10011120000012021","layer":1},{"info":"NaN⨟⋌⩍⫏≰10011120000012021=NaN","layer":0}]}
{"id":637,"expression_no_base_symbol":"($2541$∑⇟⊟$1599$%$2072$↬$7602$⨵⪆($2843$∧)⫥∨⫟$2418$⪛$3361$)⇼⇔∾(⫓⪴(↽≂($1708$⨳⩥⨓$2976$)))","expression":"(⫏≰10111010∑⇟⊟⫏≰2012020%⫏≰2211202↬⫏≰101102120⨵⪆(⫏≰10220022∧)⫥∨⫟⫏≰10022120⪛⫏≰11121111)⇼⇔∾(⫓⪴(↽≂(⫏≰2100021⨳⩥⨓⫏≰11002020)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2712,"operation_count":11,"complexity_ratio":246.54545454545453,"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":2541,"base":3},"right_expr":{"type":"numeric_atoms","value":1599,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2072,"base":3},"right_expr":{"type":"numeric_atoms","value":7602,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2843,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2418,"base":3},"right_expr":{"type":"numeric_atoms","value":3361,"base":3}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1708,"base":3},"right_expr":{"type":"numeric_atoms","value":2976,"base":3}}}}},"used_operators":["tifHPKVTfV","2DQ55sFlQl","k8jYdgA6NY","U7g4x0WXJJ","B5M0gjZbta","KYD54nUTWz","z63VuFQld9","uFcxV4UQCh","eLxqMNBOBk","u6S6b8DprG","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰110002201212020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2541","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=2541, right_input=1599, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2072","layer":4},{"info":"number node, value=7602","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=7602, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2843","layer":4},{"info":"compute unary expreesion, input=2843, 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=2418","layer":4},{"info":"number node, value=3361","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=3361, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2418","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2418, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1708","layer":4},{"info":"number node, value=2976","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=2976, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1268","layer":3},{"info":"compute unary expreesion, input=1268, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2536","layer":2},{"info":"compute unary expreesion, input=-2536, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6431296","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=6431296, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6431136","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10111010∑⇟⊟⫏≰2012020%⫏≰2211202↬⫏≰101102120⨵⪆(⫏≰10220022∧)⫥∨⫟⫏≰10022120⪛⫏≰11121111)⇼⇔∾(⫓⪴(↽≂(⫏≰2100021⨳⩥⨓⫏≰11002020)))=⫏≰110002201212020","reverse_text":"⫏≰110002201212020=(⫏≰10111010∑⇟⊟⫏≰2012020%⫏≰2211202↬⫏≰101102120⨵⪆(⫏≰10220022∧)⫥∨⫟⫏≰10022120⪛⫏≰11121111)⇼⇔∾(⫓⪴(↽≂(⫏≰2100021⨳⩥⨓⫏≰11002020)))","cot":[{"info":"⫏≰10111010∑⇟⊟⫏≰2012020=NaN","layer":3},{"info":"⫏≰2211202↬⫏≰101102120=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"⫏≰10220022∧=NaN","layer":3},{"info":"⫏≰10022120⪛⫏≰11121111=⫏≰10022120","layer":3},{"info":"NaN⫥∨⫟⫏≰10022120=NaN","layer":2},{"info":"NaN⨵⪆NaN=⫏≰12221","layer":1},{"info":"⫏≰2100021⨳⩥⨓⫏≰11002020=⫏≰1201222","layer":3},{"info":"↽≂⫏≰1201222=⫏≰-10110221","layer":2},{"info":"⫓⪴⫏≰-10110221=⫏≰110002202002011","layer":1},{"info":"⫏≰12221⇼⇔∾⫏≰110002202002011=⫏≰110002201212020","layer":0}]}
{"id":638,"expression_no_base_symbol":"(⫓⪴($1925$⪄$5178$⨵⪆$7614$≹⇙⪍$3145$))⋳⪒($1861$↺$1980$↺($4554$⇋≉)%(⨈⫕$4521$)⩚⊴⇥(⨰⫟⨤$2497$))","expression":"(⫓⪴(⫏≰2122022⪄⫏≰21002210⨵⪆⫏≰101110000≹⇙⪍⫏≰11022111))⋳⪒(⫏≰2112221↺⫏≰2201100↺(⫏≰20020200⇋≉)%(⨈⫕⫏≰20012110)⩚⊴⇥(⨰⫟⨤⫏≰10102111))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9809,"operation_count":12,"complexity_ratio":817.4166666666666,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1925,"base":3},"right_expr":{"type":"numeric_atoms","value":5178,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7614,"base":3},"right_expr":{"type":"numeric_atoms","value":3145,"base":3}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1861,"base":3},"right_expr":{"type":"numeric_atoms","value":1980,"base":3}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4554,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4521,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2497,"base":3}}}}},"used_operators":["12rbrZMWeM","eLxqMNBOBk","2DQ55sFlQl","SUmda5xLS4","AHs5Up7iyr","k8jYdgA6NY","7j4O788W3g","XIabStNQrY","NTOWxs364D","megm06wKyl","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1925","layer":4},{"info":"number node, value=5178","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=5178, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-301701","layer":3},{"info":"number node, value=7614","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=7614, right_input=3145, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-301701, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=25600","layer":1},{"info":"number node, value=1861","layer":4},{"info":"number node, value=1980","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=1980, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1980","layer":3},{"info":"number node, value=4554","layer":4},{"info":"compute unary expreesion, input=4554, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9010","layer":3},{"info":"compute binary expreesion, left_input=1980, right_input=9010, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9010","layer":2},{"info":"number node, value=4521","layer":4},{"info":"compute unary expreesion, input=4521, 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=2497","layer":4},{"info":"compute unary expreesion, input=2497, 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=-21, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9010, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=25600, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫓⪴(⫏≰2122022⪄⫏≰21002210⨵⪆⫏≰101110000≹⇙⪍⫏≰11022111))⋳⪒(⫏≰2112221↺⫏≰2201100↺(⫏≰20020200⇋≉)%(⨈⫕⫏≰20012110)⩚⊴⇥(⨰⫟⨤⫏≰10102111))=NaN","reverse_text":"NaN=(⫓⪴(⫏≰2122022⪄⫏≰21002210⨵⪆⫏≰101110000≹⇙⪍⫏≰11022111))⋳⪒(⫏≰2112221↺⫏≰2201100↺(⫏≰20020200⇋≉)%(⨈⫕⫏≰20012110)⩚⊴⇥(⨰⫟⨤⫏≰10102111))","cot":[{"info":"⫏≰2122022⪄⫏≰21002210=⫏≰-120022212010","layer":3},{"info":"⫏≰101110000≹⇙⪍⫏≰11022111=NaN","layer":3},{"info":"⫏≰-120022212010⨵⪆NaN=⫏≰12221","layer":2},{"info":"⫓⪴⫏≰12221=⫏≰1022010011","layer":1},{"info":"⫏≰2112221↺⫏≰2201100=⫏≰2201100","layer":3},{"info":"⫏≰20020200⇋≉=⫏≰110100201","layer":3},{"info":"⫏≰2201100↺⫏≰110100201=⫏≰110100201","layer":2},{"info":"⨈⫕⫏≰20012110=⫏≰-210","layer":3},{"info":"⨰⫟⨤⫏≰10102111=NaN","layer":3},{"info":"⫏≰-210⩚⊴⇥NaN=NaN","layer":2},{"info":"⫏≰110100201%NaN=NaN","layer":1},{"info":"⫏≰1022010011⋳⪒NaN=NaN","layer":0}]}
{"id":639,"expression_no_base_symbol":"+⊝⨔(((⊙↵-$1373$)↛⩡⫤)⫸⊐$6728$∼$9161$⩷∴(⨑⩽⪐$1192$))","expression":"+⊝⨔(((⊙↵-⫏≰1212212)↛⩡⫤)⫸⊐⫏≰100020012∼⫏≰110120022⩷∴(⨑⩽⪐⫏≰1122011))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1652,"operation_count":7,"complexity_ratio":236.0,"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":1373,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6728,"base":3},"right_expr":{"type":"numeric_atoms","value":9161,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1192,"base":3}}}}},"used_operators":["DhbWaqg5eL","mqXw5SEYmG","FU0Cs4j7VP","oWn0xqSxBt","9FxExcQeMw","DyGG3AbaNP","AF7qkfDlqP"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1373","layer":4},{"info":"compute unary expreesion, input=1373, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=1","layer":2},{"info":"number node, value=6728","layer":4},{"info":"number node, value=9161","layer":4},{"info":"compute binary expreesion, left_input=6728, right_input=9161, 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=1192","layer":4},{"info":"compute unary expreesion, input=1192, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-919","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-919, 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 = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=2","layer":1},{"info":"compute unary expreesion, input=2, 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":3,"result_base":3,"text":"+⊝⨔(((⊙↵-⫏≰1212212)↛⩡⫤)⫸⊐⫏≰100020012∼⫏≰110120022⩷∴(⨑⩽⪐⫏≰1122011))=⫏≰2002101","reverse_text":"⫏≰2002101=+⊝⨔(((⊙↵-⫏≰1212212)↛⩡⫤)⫸⊐⫏≰100020012∼⫏≰110120022⩷∴(⨑⩽⪐⫏≰1122011))","cot":[{"info":"⊙↵-⫏≰1212212=⫏≰-1","layer":3},{"info":"⫏≰-1↛⩡⫤=⫏≰1","layer":2},{"info":"⫏≰100020012∼⫏≰110120022=NaN","layer":3},{"info":"⨑⩽⪐⫏≰1122011=⫏≰-1021001","layer":3},{"info":"NaN⩷∴⫏≰-1021001=NaN","layer":2},{"info":"⫏≰1⫸⊐NaN=⫏≰2","layer":1},{"info":"+⊝⨔⫏≰2=⫏≰2002101","layer":0}]}
{"id":640,"expression_no_base_symbol":"($8310$⪘⫢$4442$-$1011$⫸⊐$3576$)∼($1096$⨰$3170$%($3233$⨵⪆$3093$))↙(($3171$⩨$7468$/$1973$⪒$1542$)↛⩡⫤)","expression":"(⫏≰102101210⪘⫢⫏≰20002112-⫏≰1101110⫸⊐⫏≰11220110)∼(⫏≰1111121⨰⫏≰11100102%(⫏≰11102202⨵⪆⫏≰11020120))↙((⫏≰11100110⩨⫏≰101020121/⫏≰2201002⪒⫏≰2010010)↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":264,"operation_count":12,"complexity_ratio":22.0,"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":8310,"base":3},"right_expr":{"type":"numeric_atoms","value":4442,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1011,"base":3},"right_expr":{"type":"numeric_atoms","value":3576,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1096,"base":3},"right_expr":{"type":"numeric_atoms","value":3170,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3233,"base":3},"right_expr":{"type":"numeric_atoms","value":3093,"base":3}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3171,"base":3},"right_expr":{"type":"numeric_atoms","value":7468,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1973,"base":3},"right_expr":{"type":"numeric_atoms","value":1542,"base":3}}}}},"used_operators":["yyfyN0ffXY","DyGG3AbaNP","rysDP5nf3Z","oacrs7FA3X","mqXw5SEYmG","k8jYdgA6NY","eewbuw0ToL","2DQ55sFlQl","FU0Cs4j7VP","XhwjNDsVaA","2DlMacCsIx","f6k1SAg4EE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8310","layer":4},{"info":"number node, value=4442","layer":4},{"info":"compute binary expreesion, left_input=8310, right_input=4442, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=16496","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=3576","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=3576, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14179","layer":3},{"info":"compute binary expreesion, left_input=16496, right_input=14179, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2317","layer":2},{"info":"number node, value=1096","layer":4},{"info":"number node, value=3170","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=3170, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2064","layer":3},{"info":"number node, value=3233","layer":4},{"info":"number node, value=3093","layer":4},{"info":"compute binary expreesion, left_input=3233, right_input=3093, 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=-2064, right_input=160, op_id = k8jYdgA6NY binary_op_definition= 'None', output=16","layer":2},{"info":"compute binary expreesion, left_input=2317, right_input=16, 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=3171","layer":4},{"info":"number node, value=7468","layer":4},{"info":"compute binary expreesion, left_input=3171, right_input=7468, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1973","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=1542, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3515","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-3515, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"compute binary expreesion, left_input=0, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⫏≰102101210⪘⫢⫏≰20002112-⫏≰1101110⫸⊐⫏≰11220110)∼(⫏≰1111121⨰⫏≰11100102%(⫏≰11102202⨵⪆⫏≰11020120))↙((⫏≰11100110⩨⫏≰101020121/⫏≰2201002⪒⫏≰2010010)↛⩡⫤)=⫏≰0","reverse_text":"⫏≰0=(⫏≰102101210⪘⫢⫏≰20002112-⫏≰1101110⫸⊐⫏≰11220110)∼(⫏≰1111121⨰⫏≰11100102%(⫏≰11102202⨵⪆⫏≰11020120))↙((⫏≰11100110⩨⫏≰101020121/⫏≰2201002⪒⫏≰2010010)↛⩡⫤)","cot":[{"info":"⫏≰102101210⪘⫢⫏≰20002112=⫏≰211121222","layer":3},{"info":"⫏≰1101110⫸⊐⫏≰11220110=⫏≰201110011","layer":3},{"info":"⫏≰211121222-⫏≰201110011=⫏≰10011211","layer":2},{"info":"⫏≰1111121⨰⫏≰11100102=⫏≰-2211110","layer":3},{"info":"⫏≰11102202⨵⪆⫏≰11020120=⫏≰12221","layer":3},{"info":"⫏≰-2211110%⫏≰12221=⫏≰121","layer":2},{"info":"⫏≰10011211∼⫏≰121=⫏≰0","layer":1},{"info":"⫏≰11100110⩨⫏≰101020121=⫏≰-20","layer":3},{"info":"⫏≰2201002⪒⫏≰2010010=⫏≰-11211012","layer":3},{"info":"⫏≰-20/⫏≰-11211012=⫏≰0","layer":2},{"info":"⫏≰0↛⩡⫤=⫏≰0","layer":1},{"info":"⫏≰0↙⫏≰0=⫏≰0","layer":0}]}
{"id":641,"expression_no_base_symbol":"↥(($6340$⪮%⊝$1869$⊭∹↮)%(($1285$⨳⩥⨓$3115$)⪠⩆⊳))","expression":"↥((⫏≰22200211⪮%⊝⫏≰2120020⊭∹↮)%((⫏≰1202121⨳⩥⨓⫏≰11021101)⪠⩆⊳))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":26,"operation_count":6,"complexity_ratio":4.333333333333333,"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":6340,"base":3},"right_expr":{"type":"numeric_atoms","value":1869,"base":3}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1285,"base":3},"right_expr":{"type":"numeric_atoms","value":3115,"base":3}}}}},"used_operators":["A8NUZmVepG","k8jYdgA6NY","xNBdhnnwKq","IWmyXbctLI","JLbD19bQDL","nCS4ZIUYfx"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6340","layer":4},{"info":"number node, value=1869","layer":4},{"info":"compute binary expreesion, left_input=6340, right_input=1869, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12996","layer":3},{"info":"compute unary expreesion, input=12996, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=25992","layer":2},{"info":"number node, value=1285","layer":4},{"info":"number node, value=3115","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=3115, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1830","layer":3},{"info":"compute unary expreesion, input=1830, 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=25992, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↥((⫏≰22200211⪮%⊝⫏≰2120020⊭∹↮)%((⫏≰1202121⨳⩥⨓⫏≰11021101)⪠⩆⊳))=NaN","reverse_text":"NaN=↥((⫏≰22200211⪮%⊝⫏≰2120020⊭∹↮)%((⫏≰1202121⨳⩥⨓⫏≰11021101)⪠⩆⊳))","cot":[{"info":"⫏≰22200211⪮%⊝⫏≰2120020=⫏≰122211100","layer":3},{"info":"⫏≰122211100⊭∹↮=⫏≰1022122200","layer":2},{"info":"⫏≰1202121⨳⩥⨓⫏≰11021101=⫏≰2111210","layer":3},{"info":"⫏≰2111210⪠⩆⊳=⫏≰0","layer":2},{"info":"⫏≰1022122200%⫏≰0=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":642,"expression_no_base_symbol":"↽≂((⫛⫱⨽$1224$)⨐⩸⫘$6253$+⇶⊼$5008$⇼⇔∾($9540$⨵⪆$7246$)⨪↰⇹$1935$↬$1913$)","expression":"↽≂((⫛⫱⨽⫏≰1200100)⨐⩸⫘⫏≰22120121+⇶⊼⫏≰20212111⇼⇔∾(⫏≰111002100⨵⪆⫏≰100221101)⨪↰⇹⫏≰2122200↬⫏≰2121212)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1591,"operation_count":8,"complexity_ratio":198.875,"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":1224,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6253,"base":3},"right_expr":{"type":"numeric_atoms","value":5008,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":9540,"base":3},"right_expr":{"type":"numeric_atoms","value":7246,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1935,"base":3},"right_expr":{"type":"numeric_atoms","value":1913,"base":3}}}}},"used_operators":["u6S6b8DprG","tifHPKVTfV","fu6greOZ01","DlLNRPXxWL","TpPTUOHfaN","tmPS8pqC7x","2DQ55sFlQl","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","AHs5Up7iyr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=6253","layer":4},{"info":"number node, value=5008","layer":4},{"info":"compute binary expreesion, left_input=6253, right_input=5008, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=9540","layer":4},{"info":"number node, value=7246","layer":4},{"info":"compute binary expreesion, left_input=9540, right_input=7246, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1935","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=1913, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾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":3,"result_base":3,"text":"↽≂((⫛⫱⨽⫏≰1200100)⨐⩸⫘⫏≰22120121+⇶⊼⫏≰20212111⇼⇔∾(⫏≰111002100⨵⪆⫏≰100221101)⨪↰⇹⫏≰2122200↬⫏≰2121212)=NaN","reverse_text":"NaN=↽≂((⫛⫱⨽⫏≰1200100)⨐⩸⫘⫏≰22120121+⇶⊼⫏≰20212111⇼⇔∾(⫏≰111002100⨵⪆⫏≰100221101)⨪↰⇹⫏≰2122200↬⫏≰2121212)","cot":[{"info":"⫛⫱⨽⫏≰1200100=⫏≰0","layer":3},{"info":"⫏≰22120121+⇶⊼⫏≰20212111=NaN","layer":3},{"info":"⫏≰0⨐⩸⫘NaN=NaN","layer":2},{"info":"⫏≰111002100⨵⪆⫏≰100221101=⫏≰12221","layer":3},{"info":"⫏≰2122200↬⫏≰2121212=NaN","layer":3},{"info":"⫏≰12221⨪↰⇹NaN=⫏≰12221","layer":2},{"info":"NaN⇼⇔∾⫏≰12221=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":643,"expression_no_base_symbol":"⫓⪴($7289$⋥≓≎$5808$∲⫓(⫓⪴$7198$))↬($4922$≦≮≮)∀⇚≩(⫛⫱⨽$5825$)","expression":"⫓⪴(⫏≰100222222⋥≓≎⫏≰21222010∲⫓(⫓⪴⫏≰100212121))↬(⫏≰20202022≦≮≮)∀⇚≩(⫛⫱⨽⫏≰21222202)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":111993,"operation_count":8,"complexity_ratio":13999.125,"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":7289,"base":3},"right_expr":{"type":"numeric_atoms","value":5808,"base":3}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7198,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4922,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5825,"base":3}}}}},"used_operators":["eLxqMNBOBk","B5M0gjZbta","i8ToyICDmI","Qy55tPpLXF","LRNGc0VcxI","D4vGDi5EA2","DlLNRPXxWL"],"dependent_operators":["9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7289","layer":4},{"info":"number node, value=5808","layer":4},{"info":"compute binary expreesion, left_input=7289, right_input=5808, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4360","layer":3},{"info":"number node, value=7198","layer":4},{"info":"compute unary expreesion, input=7198, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=51811204","layer":3},{"info":"compute binary expreesion, left_input=4360, right_input=51811204, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=4922","layer":4},{"info":"compute unary expreesion, input=4922, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-14766","layer":3},{"info":"number node, value=5825","layer":4},{"info":"compute unary expreesion, input=5825, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-14766, 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=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 unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫓⪴(⫏≰100222222⋥≓≎⫏≰21222010∲⫓(⫓⪴⫏≰100212121))↬(⫏≰20202022≦≮≮)∀⇚≩(⫛⫱⨽⫏≰21222202)=NaN","reverse_text":"NaN=⫓⪴(⫏≰100222222⋥≓≎⫏≰21222010∲⫓(⫓⪴⫏≰100212121))↬(⫏≰20202022≦≮≮)∀⇚≩(⫛⫱⨽⫏≰21222202)","cot":[{"info":"⫏≰100222222⋥≓≎⫏≰21222010=⫏≰12222111","layer":3},{"info":"⫓⪴⫏≰100212121=⫏≰10121111021121111","layer":3},{"info":"⫏≰12222111∲⫓⫏≰10121111021121111=⫏≰0","layer":2},{"info":"⫏≰20202022≦≮≮=⫏≰-202020220","layer":3},{"info":"⫛⫱⨽⫏≰21222202=⫏≰0","layer":3},{"info":"⫏≰-202020220∀⇚≩⫏≰0=NaN","layer":2},{"info":"⫏≰0↬NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":644,"expression_no_base_symbol":"↥(($1028$∼$2057$≫≃)⩨($4855$⨓$1085$)↬(≤/$2033$))","expression":"↥((⫏≰1102002∼⫏≰2211012≫≃)⩨(⫏≰20122211⨓⫏≰1111012)↬(≤/⫏≰2210022))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1127,"operation_count":7,"complexity_ratio":161.0,"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":1028,"base":3},"right_expr":{"type":"numeric_atoms","value":2057,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4855,"base":3},"right_expr":{"type":"numeric_atoms","value":1085,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2033,"base":3}}}}},"used_operators":["A8NUZmVepG","2DlMacCsIx","X99M06cbEe","DyGG3AbaNP","B5M0gjZbta","3ViojmjbAp","eLAdDNolq6"],"dependent_operators":["k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=2057, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":2},{"info":"number node, value=4855","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=4855, right_input=1085, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1088","layer":3},{"info":"number node, value=2033","layer":4},{"info":"compute unary expreesion, input=2033, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1549","layer":3},{"info":"compute binary expreesion, left_input=-1088, right_input=-1549, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↥((⫏≰1102002∼⫏≰2211012≫≃)⩨(⫏≰20122211⨓⫏≰1111012)↬(≤/⫏≰2210022))=NaN","reverse_text":"NaN=↥((⫏≰1102002∼⫏≰2211012≫≃)⩨(⫏≰20122211⨓⫏≰1111012)↬(≤/⫏≰2210022))","cot":[{"info":"⫏≰1102002∼⫏≰2211012=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"⫏≰20122211⨓⫏≰1111012=⫏≰-1111022","layer":3},{"info":"≤/⫏≰2210022=⫏≰-2010101","layer":3},{"info":"⫏≰-1111022↬⫏≰-2010101=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":645,"expression_no_base_symbol":"(+⊝⨔($1735$⨎$1137$))⫥∨⫟($1374$≋⫹)⪮%⊝(⪝⪂⫅$1235$)-(↔(($8366$⩨$7517$)⋓$2464$⨪↰⇹$5599$))","expression":"(+⊝⨔(⫏≰2101021⨎⫏≰1120010))⫥∨⫟(⫏≰1212220≋⫹)⪮%⊝(⪝⪂⫅⫏≰1200202)-(↔((⫏≰102110212⩨⫏≰101022102)⋓⫏≰10101021⨪↰⇹⫏≰21200101))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2849,"operation_count":11,"complexity_ratio":259.0,"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":1735,"base":3},"right_expr":{"type":"numeric_atoms","value":1137,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1374,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1235,"base":3}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8366,"base":3},"right_expr":{"type":"numeric_atoms","value":7517,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2464,"base":3},"right_expr":{"type":"numeric_atoms","value":5599,"base":3}}}}},"used_operators":["rysDP5nf3Z","KYD54nUTWz","DhbWaqg5eL","rJVOvQCfKK","IWmyXbctLI","N41Kp7NANJ","XTarYq4gQB","ruOEQAzv1W","T2fj7uvVaJ","2DlMacCsIx","tmPS8pqC7x"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1735","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=1137, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1137","layer":3},{"info":"compute unary expreesion, input=1137, 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=1374","layer":4},{"info":"compute unary expreesion, input=1374, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2748","layer":3},{"info":"number node, value=1235","layer":4},{"info":"compute unary expreesion, input=1235, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-181545","layer":3},{"info":"compute binary expreesion, left_input=-2748, right_input=-181545, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-5180","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-5180, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=8366","layer":4},{"info":"number node, value=7517","layer":4},{"info":"compute binary expreesion, left_input=8366, right_input=7517, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2464","layer":4},{"info":"number node, value=5599","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=5599, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2464","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2464, op_id = T2fj7uvVaJ 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 = 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(+⊝⨔(⫏≰2101021⨎⫏≰1120010))⫥∨⫟(⫏≰1212220≋⫹)⪮%⊝(⪝⪂⫅⫏≰1200202)-(↔((⫏≰102110212⩨⫏≰101022102)⋓⫏≰10101021⨪↰⇹⫏≰21200101))=NaN","reverse_text":"NaN=(+⊝⨔(⫏≰2101021⨎⫏≰1120010))⫥∨⫟(⫏≰1212220≋⫹)⪮%⊝(⪝⪂⫅⫏≰1200202)-(↔((⫏≰102110212⩨⫏≰101022102)⋓⫏≰10101021⨪↰⇹⫏≰21200101))","cot":[{"info":"⫏≰2101021⨎⫏≰1120010=⫏≰1120010","layer":3},{"info":"+⊝⨔⫏≰1120010=⫏≰2002101","layer":2},{"info":"⫏≰1212220≋⫹=⫏≰-10202210","layer":3},{"info":"⪝⪂⫅⫏≰1200202=⫏≰-100020000220","layer":3},{"info":"⫏≰-10202210⪮%⊝⫏≰-100020000220=⫏≰-21002212","layer":2},{"info":"⫏≰2002101⫥∨⫟⫏≰-21002212=NaN","layer":1},{"info":"⫏≰102110212⩨⫏≰101022102=⫏≰0","layer":3},{"info":"⫏≰10101021⨪↰⇹⫏≰21200101=⫏≰10101021","layer":3},{"info":"⫏≰0⋓⫏≰10101021=⫏≰0","layer":2},{"info":"↔⫏≰0=⫏≰1002020","layer":1},{"info":"NaN-⫏≰1002020=NaN","layer":0}]}
{"id":646,"expression_no_base_symbol":"(⫛⫱⨽($4374$↙$3621$⫸⊐(⨵≀≌$1597$)))↙($5549$⪢$3052$⋳⪒($2942$*$2025$))∑⇟⊟($1043$⊴$8114$-$5948$∑⇟⊟$1730$)","expression":"(⫛⫱⨽(⫏≰20000000↙⫏≰11222010⫸⊐(⨵≀≌⫏≰2012011)))↙(⫏≰21121112⪢⫏≰11012001⋳⪒(⫏≰11000222*⫏≰2210000))∑⇟⊟(⫏≰1102122⊴⫏≰102010112-⫏≰22011022∑⇟⊟⫏≰2101002)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26936,"operation_count":12,"complexity_ratio":2244.6666666666665,"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":4374,"base":3},"right_expr":{"type":"numeric_atoms","value":3621,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1597,"base":3}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5549,"base":3},"right_expr":{"type":"numeric_atoms","value":3052,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2942,"base":3},"right_expr":{"type":"numeric_atoms","value":2025,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1043,"base":3},"right_expr":{"type":"numeric_atoms","value":8114,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5948,"base":3},"right_expr":{"type":"numeric_atoms","value":1730,"base":3}}}}},"used_operators":["yyfyN0ffXY","DlLNRPXxWL","mqXw5SEYmG","srAu1WTS94","U7g4x0WXJJ","12rbrZMWeM","dWAJyo7jo9","9HNa5Wba9A","rysDP5nf3Z","Nsiff2A1zJ"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4374","layer":4},{"info":"number node, value=3621","layer":4},{"info":"compute binary expreesion, left_input=4374, right_input=3621, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10863","layer":3},{"info":"number node, value=1597","layer":4},{"info":"compute unary expreesion, input=1597, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4791","layer":3},{"info":"compute binary expreesion, left_input=-10863, right_input=-4791, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=5549","layer":4},{"info":"number node, value=3052","layer":4},{"info":"compute binary expreesion, left_input=5549, right_input=3052, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2942","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=2025, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5957550","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5957550, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1043","layer":4},{"info":"number node, value=8114","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=8114, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5948","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=5948, right_input=1730, 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 = rysDP5nf3Z binary_op_definition= 'None', 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=0, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⫛⫱⨽(⫏≰20000000↙⫏≰11222010⫸⊐(⨵≀≌⫏≰2012011)))↙(⫏≰21121112⪢⫏≰11012001⋳⪒(⫏≰11000222*⫏≰2210000))∑⇟⊟(⫏≰1102122⊴⫏≰102010112-⫏≰22011022∑⇟⊟⫏≰2101002)=⫏≰0","reverse_text":"⫏≰0=(⫛⫱⨽(⫏≰20000000↙⫏≰11222010⫸⊐(⨵≀≌⫏≰2012011)))↙(⫏≰21121112⪢⫏≰11012001⋳⪒(⫏≰11000222*⫏≰2210000))∑⇟⊟(⫏≰1102122⊴⫏≰102010112-⫏≰22011022∑⇟⊟⫏≰2101002)","cot":[{"info":"⫏≰20000000↙⫏≰11222010=⫏≰-112220100","layer":3},{"info":"⨵≀≌⫏≰2012011=⫏≰-20120110","layer":3},{"info":"⫏≰-112220100⫸⊐⫏≰-20120110=⫏≰1022212","layer":2},{"info":"⫛⫱⨽⫏≰1022212=⫏≰0","layer":1},{"info":"⫏≰21121112⪢⫏≰11012001=NaN","layer":3},{"info":"⫏≰11000222*⫏≰2210000=⫏≰102012200020000","layer":3},{"info":"NaN⋳⪒⫏≰102012200020000=NaN","layer":2},{"info":"⫏≰1102122⊴⫏≰102010112=NaN","layer":3},{"info":"⫏≰22011022∑⇟⊟⫏≰2101002=NaN","layer":3},{"info":"NaN-NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"⫏≰0↙NaN=⫏≰0","layer":0}]}
{"id":647,"expression_no_base_symbol":"((↯⪼($2444$≫≃))⪄(≤/(≤/$2569$)))⊪","expression":"((↯⪼(⫏≰10100112≫≃))⪄(≤/(≤/⫏≰10112011)))⊪","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":115,"operation_count":6,"complexity_ratio":19.166666666666668,"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":2444,"base":3}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2569,"base":3}}}}},"used_operators":["zVYPLywUTj","SUmda5xLS4","8jW3W4yZS5","X99M06cbEe","eLAdDNolq6"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2444","layer":4},{"info":"compute unary expreesion, input=2444, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6289","layer":3},{"info":"compute unary expreesion, input=6289, 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=2569","layer":4},{"info":"compute unary expreesion, input=2569, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2085","layer":3},{"info":"compute unary expreesion, input=-2085, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2569","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=2569, 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 = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"((↯⪼(⫏≰10100112≫≃))⪄(≤/(≤/⫏≰10112011)))⊪=⫏≰0","reverse_text":"⫏≰0=((↯⪼(⫏≰10100112≫≃))⪄(≤/(≤/⫏≰10112011)))⊪","cot":[{"info":"⫏≰10100112≫≃=⫏≰22121221","layer":3},{"info":"↯⪼⫏≰22121221=⫏≰-210","layer":2},{"info":"≤/⫏≰10112011=⫏≰-2212020","layer":3},{"info":"≤/⫏≰-2212020=⫏≰10112011","layer":2},{"info":"⫏≰-210⪄⫏≰10112011=⫏≰12110101","layer":1},{"info":"⫏≰12110101⊪=⫏≰0","layer":0}]}
{"id":648,"expression_no_base_symbol":"(($1502$⩠)⋷$3986$⪛$5096$)∀⇚≩(↥(↣≠⋷$1989$))⇼⇔∾(⨰⫟⨤($2609$⪢$6847$/$3611$∀⇚≩$3157$))","expression":"((⫏≰2001122⩠)⋷⫏≰12110122⪛⫏≰20222202)∀⇚≩(↥(↣≠⋷⫏≰2201200))⇼⇔∾(⨰⫟⨤(⫏≰10120122⪢⫏≰100101121/⫏≰11221202∀⇚≩⫏≰11022221))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32185,"operation_count":11,"complexity_ratio":2925.909090909091,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1502,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3986,"base":3},"right_expr":{"type":"numeric_atoms","value":5096,"base":3}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1989,"base":3}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2609,"base":3},"right_expr":{"type":"numeric_atoms","value":6847,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3611,"base":3},"right_expr":{"type":"numeric_atoms","value":3157,"base":3}}}}},"used_operators":["tifHPKVTfV","LRNGc0VcxI","23Mk6UjR3U","sJAwomhLZr","uFcxV4UQCh","A8NUZmVepG","Asc51vEJeQ","Tw270M8GLb","XhwjNDsVaA","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1502","layer":4},{"info":"compute unary expreesion, input=1502, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=3986","layer":4},{"info":"number node, value=5096","layer":4},{"info":"compute binary expreesion, left_input=3986, right_input=5096, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3986","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3986, 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=1989","layer":4},{"info":"compute unary expreesion, input=1989, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/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 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":1},{"info":"number node, value=2609","layer":4},{"info":"number node, value=6847","layer":4},{"info":"compute binary expreesion, left_input=2609, right_input=6847, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3611","layer":4},{"info":"number node, value=3157","layer":4},{"info":"compute binary expreesion, left_input=3611, right_input=3157, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = XhwjNDsVaA binary_op_definition= 'None', 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2001122⩠)⋷⫏≰12110122⪛⫏≰20222202)∀⇚≩(↥(↣≠⋷⫏≰2201200))⇼⇔∾(⨰⫟⨤(⫏≰10120122⪢⫏≰100101121/⫏≰11221202∀⇚≩⫏≰11022221))=NaN","reverse_text":"NaN=((⫏≰2001122⩠)⋷⫏≰12110122⪛⫏≰20222202)∀⇚≩(↥(↣≠⋷⫏≰2201200))⇼⇔∾(⨰⫟⨤(⫏≰10120122⪢⫏≰100101121/⫏≰11221202∀⇚≩⫏≰11022221))","cot":[{"info":"⫏≰2001122⩠=⫏≰0","layer":3},{"info":"⫏≰12110122⪛⫏≰20222202=⫏≰12110122","layer":3},{"info":"⫏≰0⋷⫏≰12110122=⫏≰0","layer":2},{"info":"↣≠⋷⫏≰2201200=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⫏≰0∀⇚≩NaN=NaN","layer":1},{"info":"⫏≰10120122⪢⫏≰100101121=NaN","layer":3},{"info":"⫏≰11221202∀⇚≩⫏≰11022221=NaN","layer":3},{"info":"NaN/NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"(⊥($7326$⪘⫢$5871$⋝⋈⪟$2469$⨟⋌⩍$2912$))∼(≉(⊙↵-($3318$∑⇟⊟$7865$)))","expression":"(⊥(⫏≰101001100⪘⫢⫏≰22001110⋝⋈⪟⫏≰10101110⨟⋌⩍⫏≰10222212))∼(≉(⊙↵-(⫏≰11112220∑⇟⊟⫏≰101210022)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":52,"operation_count":8,"complexity_ratio":6.5,"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":7326,"base":3},"right_expr":{"type":"numeric_atoms","value":5871,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2469,"base":3},"right_expr":{"type":"numeric_atoms","value":2912,"base":3}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3318,"base":3},"right_expr":{"type":"numeric_atoms","value":7865,"base":3}}}}},"used_operators":["DyGG3AbaNP","Q3PJZHRvZv","2DDjHMKMc0","oacrs7FA3X","rGHVDoGpnC","e1ybzncUwg","oWn0xqSxBt","U7g4x0WXJJ"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=7326","layer":4},{"info":"number node, value=5871","layer":4},{"info":"compute binary expreesion, left_input=7326, right_input=5871, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14528","layer":3},{"info":"number node, value=2469","layer":4},{"info":"number node, value=2912","layer":4},{"info":"compute binary expreesion, left_input=2469, right_input=2912, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=14528, 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":"number node, value=3318","layer":4},{"info":"number node, value=7865","layer":4},{"info":"compute binary expreesion, left_input=3318, right_input=7865, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊥(⫏≰101001100⪘⫢⫏≰22001110⋝⋈⪟⫏≰10101110⨟⋌⩍⫏≰10222212))∼(≉(⊙↵-(⫏≰11112220∑⇟⊟⫏≰101210022)))=NaN","reverse_text":"NaN=(⊥(⫏≰101001100⪘⫢⫏≰22001110⋝⋈⪟⫏≰10101110⨟⋌⩍⫏≰10222212))∼(≉(⊙↵-(⫏≰11112220∑⇟⊟⫏≰101210022)))","cot":[{"info":"⫏≰101001100⪘⫢⫏≰22001110=⫏≰201221002","layer":3},{"info":"⫏≰10101110⨟⋌⩍⫏≰10222212=NaN","layer":3},{"info":"⫏≰201221002⋝⋈⪟NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⫏≰11112220∑⇟⊟⫏≰101210022=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":650,"expression_no_base_symbol":"(↔(≦∁$1458$⪄$3347$))⨰(↣≠⋷(⪝⪂⫅($1142$↪⪝)))","expression":"(↔(≦∁⫏≰2000000⪄⫏≰11120222))⨰(↣≠⋷(⪝⪂⫅(⫏≰1120022↪⪝)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1735,"operation_count":7,"complexity_ratio":247.85714285714286,"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":1458,"base":3},"right_expr":{"type":"numeric_atoms","value":3347,"base":3}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1142,"base":3}}}}},"used_operators":["eewbuw0ToL","ruOEQAzv1W","9ICcGScMcE","SUmda5xLS4","Asc51vEJeQ","XTarYq4gQB","l07mrZUIn9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1458","layer":4},{"info":"number node, value=3347","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=3347, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-225261","layer":3},{"info":"compute unary expreesion, input=-225261, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=206","layer":1},{"info":"number node, value=1142","layer":4},{"info":"compute unary expreesion, input=1142, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=69869844","layer":3},{"info":"compute unary expreesion, input=69869844, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=206, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↔(≦∁⫏≰2000000⪄⫏≰11120222))⨰(↣≠⋷(⪝⪂⫅(⫏≰1120022↪⪝)))=NaN","reverse_text":"NaN=(↔(≦∁⫏≰2000000⪄⫏≰11120222))⨰(↣≠⋷(⪝⪂⫅(⫏≰1120022↪⪝)))","cot":[{"info":"⫏≰2000000⪄⫏≰11120222=⫏≰-102110000000","layer":3},{"info":"≦∁⫏≰-102110000000=⫏≰2111","layer":2},{"info":"↔⫏≰2111=⫏≰21122","layer":1},{"info":"⫏≰1120022↪⪝=⫏≰11212110202102000","layer":3},{"info":"⪝⪂⫅⫏≰11212110202102000=-Inf","layer":2},{"info":"↣≠⋷-Inf=NaN","layer":1},{"info":"⫏≰21122⨰NaN=NaN","layer":0}]}
{"id":651,"expression_no_base_symbol":"⨰⫟⨤(((≉$1284$)*$1413$⪢$3668$)⋝⋈⪟($2303$∀⇚≩$4829$≧⫂∧($2568$↙$2294$)))","expression":"⨰⫟⨤(((≉⫏≰1202120)*⫏≰1221100⪢⫏≰12000212)⋝⋈⪟(⫏≰10011022∀⇚≩⫏≰20121212≧⫂∧(⫏≰10112010↙⫏≰10010222)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22123,"operation_count":8,"complexity_ratio":2765.375,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1284,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1413,"base":3},"right_expr":{"type":"numeric_atoms","value":3668,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2303,"base":3},"right_expr":{"type":"numeric_atoms","value":4829,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2568,"base":3},"right_expr":{"type":"numeric_atoms","value":2294,"base":3}}}}},"used_operators":["Tw270M8GLb","2DDjHMKMc0","9HNa5Wba9A","e1ybzncUwg","dWAJyo7jo9","Ph9nP6C5qx","LRNGc0VcxI","yyfyN0ffXY"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1284","layer":4},{"info":"compute unary expreesion, input=1284, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1815","layer":3},{"info":"number node, value=1413","layer":4},{"info":"number node, value=3668","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=3668, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1815, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2303","layer":4},{"info":"number node, value=4829","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=4829, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2568","layer":4},{"info":"number node, value=2294","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=2294, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6882","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6882, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', 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":3,"result_base":3,"text":"⨰⫟⨤(((≉⫏≰1202120)*⫏≰1221100⪢⫏≰12000212)⋝⋈⪟(⫏≰10011022∀⇚≩⫏≰20121212≧⫂∧(⫏≰10112010↙⫏≰10010222)))=NaN","reverse_text":"NaN=⨰⫟⨤(((≉⫏≰1202120)*⫏≰1221100⪢⫏≰12000212)⋝⋈⪟(⫏≰10011022∀⇚≩⫏≰20121212≧⫂∧(⫏≰10112010↙⫏≰10010222)))","cot":[{"info":"≉⫏≰1202120=⫏≰2111020","layer":3},{"info":"⫏≰1221100⪢⫏≰12000212=NaN","layer":3},{"info":"⫏≰2111020*NaN=NaN","layer":2},{"info":"⫏≰10011022∀⇚≩⫏≰20121212=NaN","layer":3},{"info":"⫏≰10112010↙⫏≰10010222=⫏≰-100102220","layer":3},{"info":"NaN≧⫂∧⫏≰-100102220=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":652,"expression_no_base_symbol":"((↽≂(≤/$1340$))∲⫓($6630$/$1365$)-$1653$⋝⋈⪟$5876$)≦≮≮","expression":"((↽≂(≤/⫏≰1211122))∲⫓(⫏≰100002120/⫏≰1212120)-⫏≰2021020⋝⋈⪟⫏≰22001122)≦≮≮","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16,"operation_count":7,"complexity_ratio":2.2857142857142856,"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":1340,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6630,"base":3},"right_expr":{"type":"numeric_atoms","value":1365,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1653,"base":3},"right_expr":{"type":"numeric_atoms","value":5876,"base":3}}}}},"used_operators":["D4vGDi5EA2","i8ToyICDmI","u6S6b8DprG","eLAdDNolq6","rysDP5nf3Z","XhwjNDsVaA","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-21001020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-856","layer":3},{"info":"compute unary expreesion, input=-856, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=1712","layer":2},{"info":"number node, value=6630","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=6630, right_input=1365, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"number node, value=1653","layer":4},{"info":"number node, value=5876","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=5876, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1653","layer":3},{"info":"compute binary expreesion, left_input=4, right_input=1653, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1649","layer":2},{"info":"compute binary expreesion, left_input=1712, right_input=-1649, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1712","layer":1},{"info":"compute unary expreesion, input=1712, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5136","layer":0}],"base":3,"result_base":3,"text":"((↽≂(≤/⫏≰1211122))∲⫓(⫏≰100002120/⫏≰1212120)-⫏≰2021020⋝⋈⪟⫏≰22001122)≦≮≮=⫏≰-21001020","reverse_text":"⫏≰-21001020=((↽≂(≤/⫏≰1211122))∲⫓(⫏≰100002120/⫏≰1212120)-⫏≰2021020⋝⋈⪟⫏≰22001122)≦≮≮","cot":[{"info":"≤/⫏≰1211122=⫏≰-1011201","layer":3},{"info":"↽≂⫏≰-1011201=⫏≰2100102","layer":2},{"info":"⫏≰100002120/⫏≰1212120=⫏≰11","layer":3},{"info":"⫏≰2021020⋝⋈⪟⫏≰22001122=⫏≰2021020","layer":3},{"info":"⫏≰11-⫏≰2021020=⫏≰-2021002","layer":2},{"info":"⫏≰2100102∲⫓⫏≰-2021002=⫏≰2100102","layer":1},{"info":"⫏≰2100102≦≮≮=⫏≰-21001020","layer":0}]}
{"id":653,"expression_no_base_symbol":"$3553$⪮%⊝$2492$⩷∴($2564$⊭∹↮)⪨≂$1223$≹⇙⪍$2161$∼($1760$⊉≛↸$1518$)⨵⪆(⊥(($2253$↪⪝)⊭↱($1709$⇼⇔∾$4151$)))","expression":"⫏≰11212121⪮%⊝⫏≰10102022⩷∴(⫏≰10111222⊭∹↮)⪨≂⫏≰1200022≹⇙⪍⫏≰2222001∼(⫏≰2102012⊉≛↸⫏≰2002020)⨵⪆(⊥((⫏≰10002110↪⪝)⊭↱(⫏≰2100022⇼⇔∾⫏≰12200202)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":742,"operation_count":12,"complexity_ratio":61.833333333333336,"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":3553,"base":3},"right_expr":{"type":"numeric_atoms","value":2492,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2564,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1223,"base":3},"right_expr":{"type":"numeric_atoms","value":2161,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1760,"base":3},"right_expr":{"type":"numeric_atoms","value":1518,"base":3}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2253,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1709,"base":3},"right_expr":{"type":"numeric_atoms","value":4151,"base":3}}}}},"used_operators":["2DQ55sFlQl","sdazOOVcIp","9FxExcQeMw","IWmyXbctLI","xNBdhnnwKq","DyGG3AbaNP","AHs5Up7iyr","DZ8iAZOCBD","Q3PJZHRvZv","COABgblf1C","l07mrZUIn9","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3553","layer":4},{"info":"number node, value=2492","layer":4},{"info":"compute binary expreesion, left_input=3553, right_input=2492, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7422","layer":3},{"info":"number node, value=2564","layer":4},{"info":"compute unary expreesion, input=2564, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5128","layer":3},{"info":"compute binary expreesion, left_input=7422, right_input=5128, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4556","layer":2},{"info":"number node, value=1223","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=2161, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1760","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=1518, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3520","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3520, 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=4556, 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=2253","layer":4},{"info":"compute unary expreesion, input=2253, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=137843046","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=4151","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=4151, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2442","layer":3},{"info":"compute binary expreesion, left_input=137843046, right_input=2442, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-275681203","layer":2},{"info":"compute unary expreesion, input=-275681203, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"⫏≰11212121⪮%⊝⫏≰10102022⩷∴(⫏≰10111222⊭∹↮)⪨≂⫏≰1200022≹⇙⪍⫏≰2222001∼(⫏≰2102012⊉≛↸⫏≰2002020)⨵⪆(⊥((⫏≰10002110↪⪝)⊭↱(⫏≰2100022⇼⇔∾⫏≰12200202)))=⫏≰12221","reverse_text":"⫏≰12221=⫏≰11212121⪮%⊝⫏≰10102022⩷∴(⫏≰10111222⊭∹↮)⪨≂⫏≰1200022≹⇙⪍⫏≰2222001∼(⫏≰2102012⊉≛↸⫏≰2002020)⨵⪆(⊥((⫏≰10002110↪⪝)⊭↱(⫏≰2100022⇼⇔∾⫏≰12200202)))","cot":[{"info":"⫏≰11212121⪮%⊝⫏≰10102022=⫏≰101011220","layer":3},{"info":"⫏≰10111222⊭∹↮=⫏≰21000221","layer":3},{"info":"⫏≰101011220⩷∴⫏≰21000221=⫏≰20020202","layer":2},{"info":"⫏≰1200022≹⇙⪍⫏≰2222001=NaN","layer":3},{"info":"⫏≰2102012⊉≛↸⫏≰2002020=⫏≰11211101","layer":3},{"info":"NaN∼⫏≰11211101=NaN","layer":2},{"info":"⫏≰20020202⪨≂NaN=NaN","layer":1},{"info":"⫏≰10002110↪⪝=⫏≰100121101011010000","layer":3},{"info":"⫏≰2100022⇼⇔∾⫏≰12200202=⫏≰10100110","layer":3},{"info":"⫏≰100121101011010000⊭↱⫏≰10100110=⫏≰-201012202001111221","layer":2},{"info":"⊥⫏≰-201012202001111221=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫏≰12221","layer":0}]}
{"id":654,"expression_no_base_symbol":"($5258$∀⇚≩$1738$⋝⋈⪟($3472$+⇶⊼$4201$)⇼⇔∾($2195$⇷$5373$⩨($1942$⇼⇔∾$1425$)))≎⊠⪸(⇁⨣⪵(($1335$⨵⪆$6791$)⊦⊿))","expression":"(⫏≰21012202∀⇚≩⫏≰2101101⋝⋈⪟(⫏≰11202121+⇶⊼⫏≰12202121)⇼⇔∾(⫏≰10000022⇷⫏≰21101000⩨(⫏≰2122221⇼⇔∾⫏≰1221210)))≎⊠⪸(⇁⨣⪵((⫏≰1211110⨵⪆⫏≰100022112)⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":67573,"operation_count":11,"complexity_ratio":6143.0,"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":5258,"base":3},"right_expr":{"type":"numeric_atoms","value":1738,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3472,"base":3},"right_expr":{"type":"numeric_atoms","value":4201,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2195,"base":3},"right_expr":{"type":"numeric_atoms","value":5373,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1942,"base":3},"right_expr":{"type":"numeric_atoms","value":1425,"base":3}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1335,"base":3},"right_expr":{"type":"numeric_atoms","value":6791,"base":3}}}}},"used_operators":["bJkvcejdHO","tifHPKVTfV","2DDjHMKMc0","LRNGc0VcxI","TpPTUOHfaN","2DlMacCsIx","mp7IySMOzn","inkyxCbjAn","14qkJME0vr","2DQ55sFlQl"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5258","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=5258, right_input=1738, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3472","layer":4},{"info":"number node, value=4201","layer":4},{"info":"compute binary expreesion, left_input=3472, right_input=4201, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2195","layer":4},{"info":"number node, value=5373","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=5373, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10746","layer":3},{"info":"number node, value=1942","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=1425, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-517","layer":3},{"info":"compute binary expreesion, left_input=10746, right_input=-517, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1335","layer":4},{"info":"number node, value=6791","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=6791, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-559","layer":2},{"info":"compute unary expreesion, input=-559, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21012202∀⇚≩⫏≰2101101⋝⋈⪟(⫏≰11202121+⇶⊼⫏≰12202121)⇼⇔∾(⫏≰10000022⇷⫏≰21101000⩨(⫏≰2122221⇼⇔∾⫏≰1221210)))≎⊠⪸(⇁⨣⪵((⫏≰1211110⨵⪆⫏≰100022112)⊦⊿))=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰21012202∀⇚≩⫏≰2101101⋝⋈⪟(⫏≰11202121+⇶⊼⫏≰12202121)⇼⇔∾(⫏≰10000022⇷⫏≰21101000⩨(⫏≰2122221⇼⇔∾⫏≰1221210)))≎⊠⪸(⇁⨣⪵((⫏≰1211110⨵⪆⫏≰100022112)⊦⊿))","cot":[{"info":"⫏≰21012202∀⇚≩⫏≰2101101=NaN","layer":3},{"info":"⫏≰11202121+⇶⊼⫏≰12202121=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"⫏≰10000022⇷⫏≰21101000=⫏≰112202000","layer":3},{"info":"⫏≰2122221⇼⇔∾⫏≰1221210=⫏≰-201011","layer":3},{"info":"⫏≰112202000⩨⫏≰-201011=⫏≰10","layer":2},{"info":"NaN⇼⇔∾⫏≰10=NaN","layer":1},{"info":"⫏≰1211110⨵⪆⫏≰100022112=⫏≰12221","layer":3},{"info":"⫏≰12221⊦⊿=⫏≰-202201","layer":2},{"info":"⇁⨣⪵⫏≰-202201=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⫏≰2111","layer":0}]}
{"id":655,"expression_no_base_symbol":"(≦∁($1049$+$2501$)⪮%⊝(↥$3176$))+((⩦⩻⨪$1545$)-(⨞⊢$1108$))∼($3054$≎⊠⪸$2835$⪨≂($4832$⋫))","expression":"(≦∁(⫏≰1102212+⫏≰10102122)⪮%⊝(↥⫏≰11100122))+((⩦⩻⨪⫏≰2010020)-(⨞⊢⫏≰1112001))∼(⫏≰11012010≎⊠⪸⫏≰10220000⪨≂(⫏≰20121222⋫))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5244,"operation_count":12,"complexity_ratio":437.0,"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":1049,"base":3},"right_expr":{"type":"numeric_atoms","value":2501,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3176,"base":3}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1545,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1108,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3054,"base":3},"right_expr":{"type":"numeric_atoms","value":2835,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4832,"base":3}}}}},"used_operators":["W4YGzv6Whe","9ICcGScMcE","IWmyXbctLI","A8NUZmVepG","DyGG3AbaNP","rysDP5nf3Z","2td37pGCOC","xUOZtlo3hN","sdazOOVcIp","bJkvcejdHO","JL8yIekQnl"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=2501, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3550","layer":3},{"info":"number node, value=3176","layer":4},{"info":"compute unary expreesion, input=3176, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=14","layer":3},{"info":"compute binary expreesion, left_input=3550, right_input=14, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7416","layer":2},{"info":"compute unary expreesion, input=7416, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7416","layer":1},{"info":"number node, value=1545","layer":4},{"info":"compute unary expreesion, input=1545, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1545","layer":3},{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1282","layer":3},{"info":"compute binary expreesion, left_input=1545, right_input=-1282, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2827","layer":2},{"info":"number node, value=3054","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=3054, right_input=2835, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=790513","layer":3},{"info":"number node, value=4832","layer":4},{"info":"compute unary expreesion, input=4832, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4832","layer":3},{"info":"compute binary expreesion, left_input=790513, right_input=4832, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1571464","layer":2},{"info":"compute binary expreesion, left_input=2827, right_input=1571464, 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=7416, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≦∁(⫏≰1102212+⫏≰10102122)⪮%⊝(↥⫏≰11100122))+((⩦⩻⨪⫏≰2010020)-(⨞⊢⫏≰1112001))∼(⫏≰11012010≎⊠⪸⫏≰10220000⪨≂(⫏≰20121222⋫))=NaN","reverse_text":"NaN=(≦∁(⫏≰1102212+⫏≰10102122)⪮%⊝(↥⫏≰11100122))+((⩦⩻⨪⫏≰2010020)-(⨞⊢⫏≰1112001))∼(⫏≰11012010≎⊠⪸⫏≰10220000⪨≂(⫏≰20121222⋫))","cot":[{"info":"⫏≰1102212+⫏≰10102122=⫏≰11212111","layer":3},{"info":"↥⫏≰11100122=⫏≰112","layer":3},{"info":"⫏≰11212111⪮%⊝⫏≰112=⫏≰101011200","layer":2},{"info":"≦∁⫏≰101011200=⫏≰101011200","layer":1},{"info":"⩦⩻⨪⫏≰2010020=⫏≰2010020","layer":3},{"info":"⨞⊢⫏≰1112001=⫏≰-1202111","layer":3},{"info":"⫏≰2010020-⫏≰-1202111=⫏≰10212201","layer":2},{"info":"⫏≰11012010≎⊠⪸⫏≰10220000=⫏≰1111011101021","layer":3},{"info":"⫏≰20121222⋫=⫏≰20121222","layer":3},{"info":"⫏≰1111011101021⪨≂⫏≰20121222=⫏≰2221211122101","layer":2},{"info":"⫏≰10212201∼⫏≰2221211122101=NaN","layer":1},{"info":"⫏≰101011200+NaN=NaN","layer":0}]}
{"id":656,"expression_no_base_symbol":"(($4782$⪨≂$2306$⋷(⨰⫟⨤$1885$))⩠)⋷($3517$⋥≓≎$1542$)⊴($1490$↙$5452$)⊉≛↸((⫓⪴$6921$)≋⫹)","expression":"((⫏≰20120010⪨≂⫏≰10011102⋷(⨰⫟⨤⫏≰2120211))⩠)⋷(⫏≰11211021⋥≓≎⫏≰2010010)⊴(⫏≰2001012↙⫏≰21110221)⊉≛↸((⫓⪴⫏≰100111100)≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35475,"operation_count":11,"complexity_ratio":3225.0,"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":4782,"base":3},"right_expr":{"type":"numeric_atoms","value":2306,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1885,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3517,"base":3},"right_expr":{"type":"numeric_atoms","value":1542,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1490,"base":3},"right_expr":{"type":"numeric_atoms","value":5452,"base":3}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6921,"base":3}}}}},"used_operators":["23Mk6UjR3U","sJAwomhLZr","sdazOOVcIp","Tw270M8GLb","DZ8iAZOCBD","Nsiff2A1zJ","Qy55tPpLXF","yyfyN0ffXY","N41Kp7NANJ","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4782","layer":4},{"info":"number node, value=2306","layer":4},{"info":"compute binary expreesion, left_input=4782, right_input=2306, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5054","layer":3},{"info":"number node, value=1885","layer":4},{"info":"compute unary expreesion, input=1885, 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=5054, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"number node, value=3517","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=3517, right_input=1542, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-400","layer":3},{"info":"number node, value=1490","layer":4},{"info":"number node, value=5452","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=5452, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16356","layer":3},{"info":"compute binary expreesion, left_input=-400, right_input=-16356, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=6921","layer":4},{"info":"compute unary expreesion, input=6921, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=47900241","layer":3},{"info":"compute unary expreesion, input=47900241, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-95800482","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-95800482, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20120010⪨≂⫏≰10011102⋷(⨰⫟⨤⫏≰2120211))⩠)⋷(⫏≰11211021⋥≓≎⫏≰2010010)⊴(⫏≰2001012↙⫏≰21110221)⊉≛↸((⫓⪴⫏≰100111100)≋⫹)=NaN","reverse_text":"NaN=((⫏≰20120010⪨≂⫏≰10011102⋷(⨰⫟⨤⫏≰2120211))⩠)⋷(⫏≰11211021⋥≓≎⫏≰2010010)⊴(⫏≰2001012↙⫏≰21110221)⊉≛↸((⫓⪴⫏≰100111100)≋⫹)","cot":[{"info":"⫏≰20120010⪨≂⫏≰10011102=⫏≰20221012","layer":3},{"info":"⨰⫟⨤⫏≰2120211=NaN","layer":3},{"info":"⫏≰20221012⋷NaN=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⫏≰11211021⋥≓≎⫏≰2010010=⫏≰-112211","layer":3},{"info":"⫏≰2001012↙⫏≰21110221=⫏≰-211102210","layer":3},{"info":"⫏≰-112211⊴⫏≰-211102210=NaN","layer":2},{"info":"⫓⪴⫏≰100111100=⫏≰10100010120210000","layer":3},{"info":"⫏≰10100010120210000≋⫹=⫏≰-20200021011120000","layer":2},{"info":"NaN⊉≛↸⫏≰-20200021011120000=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":657,"expression_no_base_symbol":"((↩$3664$)⨐⩸⫘($2108$↪⪝)⫸⊐($1797$⋥≓≎$4964$⋷(⨈⫕$6925$)))⫸⊐(($2626$⪘⫢$2229$)⪢($1665$⇼⇔∾$1218$)⨸⪁(↩$4227$+⇶⊼$5949$))","expression":"((↩⫏≰12000201)⨐⩸⫘(⫏≰2220002↪⪝)⫸⊐(⫏≰2110120⋥≓≎⫏≰20210212⋷(⨈⫕⫏≰100111111)))⫸⊐((⫏≰10121021⪘⫢⫏≰10001120)⪢(⫏≰2021200⇼⇔∾⫏≰1200010)⨸⪁(↩⫏≰12210120+⇶⊼⫏≰22011100))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2462,"operation_count":14,"complexity_ratio":175.85714285714286,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3664,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2108,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1797,"base":3},"right_expr":{"type":"numeric_atoms","value":4964,"base":3}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6925,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2626,"base":3},"right_expr":{"type":"numeric_atoms","value":2229,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1665,"base":3},"right_expr":{"type":"numeric_atoms","value":1218,"base":3}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4227,"base":3},"right_expr":{"type":"numeric_atoms","value":5949,"base":3}}}}},"used_operators":["mqXw5SEYmG","fu6greOZ01","jLgFTUHLKL","l07mrZUIn9","23Mk6UjR3U","Qy55tPpLXF","megm06wKyl","g55IO6H4Gj","dWAJyo7jo9","oacrs7FA3X","tifHPKVTfV","TpPTUOHfaN"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3664","layer":4},{"info":"compute unary expreesion, input=3664, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-26532","layer":3},{"info":"number node, value=2108","layer":4},{"info":"compute unary expreesion, input=2108, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=128971656","layer":3},{"info":"compute binary expreesion, left_input=-26532, right_input=128971656, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1797","layer":4},{"info":"number node, value=4964","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=4964, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8164","layer":3},{"info":"number node, value=6925","layer":4},{"info":"compute unary expreesion, input=6925, 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=8164, right_input=-21, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-8206","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8206, 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=2626","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=2626, right_input=2229, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5128","layer":3},{"info":"number node, value=1665","layer":4},{"info":"number node, value=1218","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=1218, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=5128, right_input=-447, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4227","layer":4},{"info":"number node, value=5949","layer":4},{"info":"compute binary expreesion, left_input=4227, right_input=5949, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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 = 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 = 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":3,"result_base":3,"text":"((↩⫏≰12000201)⨐⩸⫘(⫏≰2220002↪⪝)⫸⊐(⫏≰2110120⋥≓≎⫏≰20210212⋷(⨈⫕⫏≰100111111)))⫸⊐((⫏≰10121021⪘⫢⫏≰10001120)⪢(⫏≰2021200⇼⇔∾⫏≰1200010)⨸⪁(↩⫏≰12210120+⇶⊼⫏≰22011100))=NaN","reverse_text":"NaN=((↩⫏≰12000201)⨐⩸⫘(⫏≰2220002↪⪝)⫸⊐(⫏≰2110120⋥≓≎⫏≰20210212⋷(⨈⫕⫏≰100111111)))⫸⊐((⫏≰10121021⪘⫢⫏≰10001120)⪢(⫏≰2021200⇼⇔∾⫏≰1200010)⨸⪁(↩⫏≰12210120+⇶⊼⫏≰22011100))","cot":[{"info":"↩⫏≰12000201=⫏≰-1100101200","layer":3},{"info":"⫏≰2220002↪⪝=⫏≰22222200102212000","layer":3},{"info":"⫏≰-1100101200⨐⩸⫘⫏≰22222200102212000=NaN","layer":2},{"info":"⫏≰2110120⋥≓≎⫏≰20210212=⫏≰102012101","layer":3},{"info":"⨈⫕⫏≰100111111=⫏≰-210","layer":3},{"info":"⫏≰102012101⋷⫏≰-210=⫏≰-102020221","layer":2},{"info":"NaN⫸⊐⫏≰-102020221=NaN","layer":1},{"info":"⫏≰10121021⪘⫢⫏≰10001120=⫏≰21000221","layer":3},{"info":"⫏≰2021200⇼⇔∾⫏≰1200010=⫏≰-121120","layer":3},{"info":"⫏≰21000221⪢⫏≰-121120=NaN","layer":2},{"info":"⫏≰12210120+⇶⊼⫏≰22011100=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":658,"expression_no_base_symbol":"($2568$⨳⩥⨓$3357$)≹⇙⪍(⪲⇎$3992$)≹⇙⪍($3610$∀⇚≩$5704$∲⫓($1477$⪐))↪⪝","expression":"(⫏≰10112010⨳⩥⨓⫏≰11121100)≹⇙⪍(⪲⇎⫏≰12110212)≹⇙⪍(⫏≰11221201∀⇚≩⫏≰21211021∲⫓(⫏≰2000201⪐))↪⪝","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":25286,"operation_count":8,"complexity_ratio":3160.75,"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":2568,"base":3},"right_expr":{"type":"numeric_atoms","value":3357,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3992,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3610,"base":3},"right_expr":{"type":"numeric_atoms","value":5704,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1477,"base":3}}}}},"used_operators":["l07mrZUIn9","AHs5Up7iyr","nCS4ZIUYfx","XPYlsWDdGa","i8ToyICDmI","LRNGc0VcxI","eH2TOUuTDT"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2568","layer":4},{"info":"number node, value=3357","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=3357, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=789","layer":3},{"info":"number node, value=3992","layer":4},{"info":"compute unary expreesion, input=3992, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7984","layer":3},{"info":"compute binary expreesion, left_input=789, right_input=7984, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3610","layer":4},{"info":"number node, value=5704","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=5704, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1477","layer":4},{"info":"compute unary expreesion, input=1477, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2954","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2954, 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 unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10112010⨳⩥⨓⫏≰11121100)≹⇙⪍(⪲⇎⫏≰12110212)≹⇙⪍(⫏≰11221201∀⇚≩⫏≰21211021∲⫓(⫏≰2000201⪐))↪⪝=NaN","reverse_text":"NaN=(⫏≰10112010⨳⩥⨓⫏≰11121100)≹⇙⪍(⪲⇎⫏≰12110212)≹⇙⪍(⫏≰11221201∀⇚≩⫏≰21211021∲⫓(⫏≰2000201⪐))↪⪝","cot":[{"info":"⫏≰10112010⨳⩥⨓⫏≰11121100=⫏≰1002020","layer":3},{"info":"⪲⇎⫏≰12110212=⫏≰101221201","layer":3},{"info":"⫏≰1002020≹⇙⪍⫏≰101221201=NaN","layer":2},{"info":"⫏≰11221201∀⇚≩⫏≰21211021=NaN","layer":3},{"info":"⫏≰2000201⪐=⫏≰11001102","layer":3},{"info":"NaN∲⫓⫏≰11001102=⫏≰0","layer":2},{"info":"NaN≹⇙⪍⫏≰0=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":659,"expression_no_base_symbol":"(($4055$⪘⫢$1263$-($4506$/$1254$))⋫)⩷∴(($3875$⨳⩥⨓$1945$)⨰($3228$⫌⩹⨱)⋥≓≎(≤/$1960$)⨟⋌⩍($1210$+$1426$))","expression":"((⫏≰12120012⪘⫢⫏≰1201210-(⫏≰20011220/⫏≰1201110))⋫)⩷∴((⫏≰12022112⨳⩥⨓⫏≰2200001)⨰(⫏≰11102120⫌⩹⨱)⋥≓≎(≤/⫏≰2200121)⨟⋌⩍(⫏≰1122211+⫏≰1221211))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8029,"operation_count":12,"complexity_ratio":669.0833333333334,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4055,"base":3},"right_expr":{"type":"numeric_atoms","value":1263,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4506,"base":3},"right_expr":{"type":"numeric_atoms","value":1254,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3875,"base":3},"right_expr":{"type":"numeric_atoms","value":1945,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3228,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1960,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1210,"base":3},"right_expr":{"type":"numeric_atoms","value":1426,"base":3}}}}},"used_operators":["9FxExcQeMw","JL8yIekQnl","rysDP5nf3Z","oacrs7FA3X","XhwjNDsVaA","Qy55tPpLXF","eewbuw0ToL","nCS4ZIUYfx","EBcxylXtPf","rGHVDoGpnC","eLAdDNolq6","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z"],"result":"⫏≰210200012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4055","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=4055, right_input=1263, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7986","layer":3},{"info":"number node, value=4506","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=4506, right_input=1254, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=7986, right_input=3, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7983","layer":2},{"info":"compute unary expreesion, input=7983, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7983","layer":1},{"info":"number node, value=3875","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=3875, right_input=1945, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1930","layer":3},{"info":"number node, value=3228","layer":4},{"info":"compute unary expreesion, input=3228, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7857","layer":3},{"info":"compute binary expreesion, left_input=-1930, right_input=7857, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-9777","layer":2},{"info":"number node, value=1960","layer":4},{"info":"compute unary expreesion, input=1960, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1476","layer":3},{"info":"number node, value=1210","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1426, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2636","layer":3},{"info":"compute binary expreesion, left_input=-1476, right_input=2636, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-9777, 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=7983, right_input=67, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=15800","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12120012⪘⫢⫏≰1201210-(⫏≰20011220/⫏≰1201110))⋫)⩷∴((⫏≰12022112⨳⩥⨓⫏≰2200001)⨰(⫏≰11102120⫌⩹⨱)⋥≓≎(≤/⫏≰2200121)⨟⋌⩍(⫏≰1122211+⫏≰1221211))=⫏≰210200012","reverse_text":"⫏≰210200012=((⫏≰12120012⪘⫢⫏≰1201210-(⫏≰20011220/⫏≰1201110))⋫)⩷∴((⫏≰12022112⨳⩥⨓⫏≰2200001)⨰(⫏≰11102120⫌⩹⨱)⋥≓≎(≤/⫏≰2200121)⨟⋌⩍(⫏≰1122211+⫏≰1221211))","cot":[{"info":"⫏≰12120012⪘⫢⫏≰1201210=⫏≰101221210","layer":3},{"info":"⫏≰20011220/⫏≰1201110=⫏≰10","layer":3},{"info":"⫏≰101221210-⫏≰10=⫏≰101221200","layer":2},{"info":"⫏≰101221200⋫=⫏≰101221200","layer":1},{"info":"⫏≰12022112⨳⩥⨓⫏≰2200001=⫏≰-2122111","layer":3},{"info":"⫏≰11102120⫌⩹⨱=⫏≰101210000","layer":3},{"info":"⫏≰-2122111⨰⫏≰101210000=⫏≰-111102010","layer":2},{"info":"≤/⫏≰2200121=⫏≰-2000200","layer":3},{"info":"⫏≰1122211+⫏≰1221211=⫏≰10121122","layer":3},{"info":"⫏≰-2000200⨟⋌⩍⫏≰10121122=NaN","layer":2},{"info":"⫏≰-111102010⋥≓≎NaN=⫏≰2111","layer":1},{"info":"⫏≰101221200⩷∴⫏≰2111=⫏≰210200012","layer":0}]}
{"id":660,"expression_no_base_symbol":"(($5151$⩤)⪛($1031$⋷$2748$))⨟⋌⩍($4523$⨪↰⇹$8350$⪠⩆⊳)⫡⨏($1510$⋳⪒$1663$+($1437$+$4894$)/(⊄⩳↩($2309$⋓$2966$)))","expression":"((⫏≰21001210⩤)⪛(⫏≰1102012⋷⫏≰10202210))⨟⋌⩍(⫏≰20012112⨪↰⇹⫏≰102110021⪠⩆⊳)⫡⨏(⫏≰2001221⋳⪒⫏≰2021121+(⫏≰1222020+⫏≰20201021)/(⊄⩳↩(⫏≰10011112⋓⫏≰11001212)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4571,"operation_count":13,"complexity_ratio":351.61538461538464,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5151,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1031,"base":3},"right_expr":{"type":"numeric_atoms","value":2748,"base":3}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4523,"base":3},"right_expr":{"type":"numeric_atoms","value":8350,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1510,"base":3},"right_expr":{"type":"numeric_atoms","value":1663,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1437,"base":3},"right_expr":{"type":"numeric_atoms","value":4894,"base":3}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2309,"base":3},"right_expr":{"type":"numeric_atoms","value":2966,"base":3}}}}},"used_operators":["QMFrweE19q","rGHVDoGpnC","uFcxV4UQCh","Z2TMIBDE3Q","23Mk6UjR3U","JLbD19bQDL","tmPS8pqC7x","XhwjNDsVaA","W4YGzv6Whe","12rbrZMWeM","8w2t5hMYqp","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5151","layer":4},{"info":"compute unary expreesion, input=5151, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5151","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=2748, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4465","layer":3},{"info":"compute binary expreesion, left_input=-5151, right_input=4465, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3779","layer":2},{"info":"number node, value=4523","layer":4},{"info":"number node, value=8350","layer":4},{"info":"compute binary expreesion, left_input=4523, right_input=8350, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4523","layer":3},{"info":"compute unary expreesion, input=4523, 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=3779, 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=3779","layer":1},{"info":"number node, value=1510","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=1663, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1070","layer":3},{"info":"number node, value=1437","layer":4},{"info":"number node, value=4894","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=4894, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6331","layer":3},{"info":"compute binary expreesion, left_input=1070, right_input=6331, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7401","layer":2},{"info":"number node, value=2309","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=2309, right_input=2966, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"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=7401, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3779, 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":3,"result_base":3,"text":"((⫏≰21001210⩤)⪛(⫏≰1102012⋷⫏≰10202210))⨟⋌⩍(⫏≰20012112⨪↰⇹⫏≰102110021⪠⩆⊳)⫡⨏(⫏≰2001221⋳⪒⫏≰2021121+(⫏≰1222020+⫏≰20201021)/(⊄⩳↩(⫏≰10011112⋓⫏≰11001212)))=NaN","reverse_text":"NaN=((⫏≰21001210⩤)⪛(⫏≰1102012⋷⫏≰10202210))⨟⋌⩍(⫏≰20012112⨪↰⇹⫏≰102110021⪠⩆⊳)⫡⨏(⫏≰2001221⋳⪒⫏≰2021121+(⫏≰1222020+⫏≰20201021)/(⊄⩳↩(⫏≰10011112⋓⫏≰11001212)))","cot":[{"info":"⫏≰21001210⩤=⫏≰-21001210","layer":3},{"info":"⫏≰1102012⋷⫏≰10202210=⫏≰20010101","layer":3},{"info":"⫏≰-21001210⪛⫏≰20010101=⫏≰12011222","layer":2},{"info":"⫏≰20012112⨪↰⇹⫏≰102110021=⫏≰20012112","layer":3},{"info":"⫏≰20012112⪠⩆⊳=⫏≰0","layer":2},{"info":"⫏≰12011222⨟⋌⩍⫏≰0=⫏≰12011222","layer":1},{"info":"⫏≰2001221⋳⪒⫏≰2021121=⫏≰1110122","layer":3},{"info":"⫏≰1222020+⫏≰20201021=⫏≰22200111","layer":3},{"info":"⫏≰1110122+⫏≰22200111=⫏≰101011010","layer":2},{"info":"⫏≰10011112⋓⫏≰11001212=⫏≰0","layer":3},{"info":"⊄⩳↩⫏≰0=⫏≰0","layer":2},{"info":"⫏≰101011010/⫏≰0=NaN","layer":1},{"info":"⫏≰12011222⫡⨏NaN=NaN","layer":0}]}
{"id":661,"expression_no_base_symbol":"⫛⫱⨽((⨈⫕$5829$)⨎$1388$≎⊠⪸$3193$⊉≛↸($2380$⨎$2377$⊭↱$2502$∀⇚≩$3377$))","expression":"⫛⫱⨽((⨈⫕⫏≰21222220)⨎⫏≰1220102≎⊠⪸⫏≰11101021⊉≛↸(⫏≰10021011⨎⫏≰10021001⊭↱⫏≰10102200∀⇚≩⫏≰11122002))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19602,"operation_count":8,"complexity_ratio":2450.25,"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":5829,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1388,"base":3},"right_expr":{"type":"numeric_atoms","value":3193,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2380,"base":3},"right_expr":{"type":"numeric_atoms","value":2377,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2502,"base":3},"right_expr":{"type":"numeric_atoms","value":3377,"base":3}}}}},"used_operators":["DlLNRPXxWL","DZ8iAZOCBD","rJVOvQCfKK","megm06wKyl","bJkvcejdHO","COABgblf1C","LRNGc0VcxI"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5829","layer":4},{"info":"compute unary expreesion, input=5829, 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=1388","layer":4},{"info":"number node, value=3193","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=3193, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=359019","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=359019, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=359019","layer":2},{"info":"number node, value=2380","layer":4},{"info":"number node, value=2377","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=2377, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2377","layer":3},{"info":"number node, value=2502","layer":4},{"info":"number node, value=3377","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=3377, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2377, 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=359019, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=718038","layer":1},{"info":"compute unary expreesion, input=718038, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⫛⫱⨽((⨈⫕⫏≰21222220)⨎⫏≰1220102≎⊠⪸⫏≰11101021⊉≛↸(⫏≰10021011⨎⫏≰10021001⊭↱⫏≰10102200∀⇚≩⫏≰11122002))=⫏≰0","reverse_text":"⫏≰0=⫛⫱⨽((⨈⫕⫏≰21222220)⨎⫏≰1220102≎⊠⪸⫏≰11101021⊉≛↸(⫏≰10021011⨎⫏≰10021001⊭↱⫏≰10102200∀⇚≩⫏≰11122002))","cot":[{"info":"⨈⫕⫏≰21222220=⫏≰-210","layer":3},{"info":"⫏≰1220102≎⊠⪸⫏≰11101021=⫏≰200020111000","layer":3},{"info":"⫏≰-210⨎⫏≰200020111000=⫏≰200020111000","layer":2},{"info":"⫏≰10021011⨎⫏≰10021001=⫏≰10021001","layer":3},{"info":"⫏≰10102200∀⇚≩⫏≰11122002=NaN","layer":3},{"info":"⫏≰10021001⊭↱NaN=NaN","layer":2},{"info":"⫏≰200020111000⊉≛↸NaN=⫏≰1100110222000","layer":1},{"info":"⫛⫱⨽⫏≰1100110222000=⫏≰0","layer":0}]}
{"id":662,"expression_no_base_symbol":"(↯⪼($4446$⊦⊿))≧⫂∧(($3009$≋⫹)/$1117$⨰$2859$)⊭∹↮","expression":"(↯⪼(⫏≰20002200⊦⊿))≧⫂∧((⫏≰11010110≋⫹)/⫏≰1112101⨰⫏≰10220220)⊭∹↮","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":33,"operation_count":7,"complexity_ratio":4.714285714285714,"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":4446,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3009,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1117,"base":3},"right_expr":{"type":"numeric_atoms","value":2859,"base":3}}}}},"used_operators":["xNBdhnnwKq","Ph9nP6C5qx","8jW3W4yZS5","14qkJME0vr","XhwjNDsVaA","N41Kp7NANJ","eewbuw0ToL"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-122102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4446","layer":4},{"info":"compute unary expreesion, input=4446, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-13417","layer":3},{"info":"compute unary expreesion, input=-13417, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=25917","layer":2},{"info":"number node, value=3009","layer":4},{"info":"compute unary expreesion, input=3009, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6018","layer":3},{"info":"number node, value=1117","layer":4},{"info":"number node, value=2859","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=2859, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1732","layer":3},{"info":"compute binary expreesion, left_input=-6018, right_input=-1732, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":2},{"info":"compute binary expreesion, left_input=25917, right_input=3, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-470","layer":1},{"info":"compute unary expreesion, input=-470, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-470","layer":0}],"base":3,"result_base":3,"text":"(↯⪼(⫏≰20002200⊦⊿))≧⫂∧((⫏≰11010110≋⫹)/⫏≰1112101⨰⫏≰10220220)⊭∹↮=⫏≰-122102","reverse_text":"⫏≰-122102=(↯⪼(⫏≰20002200⊦⊿))≧⫂∧((⫏≰11010110≋⫹)/⫏≰1112101⨰⫏≰10220220)⊭∹↮","cot":[{"info":"⫏≰20002200⊦⊿=⫏≰-200101221","layer":3},{"info":"↯⪼⫏≰-200101221=⫏≰1022112220","layer":2},{"info":"⫏≰11010110≋⫹=⫏≰-22020220","layer":3},{"info":"⫏≰1112101⨰⫏≰10220220=⫏≰-2101011","layer":3},{"info":"⫏≰-22020220/⫏≰-2101011=⫏≰10","layer":2},{"info":"⫏≰1022112220≧⫂∧⫏≰10=⫏≰-122102","layer":1},{"info":"⫏≰-122102⊭∹↮=⫏≰-122102","layer":0}]}
{"id":663,"expression_no_base_symbol":"(⨑⩽⪐($3347$%$4646$)↬($8431$⪠⩆⊳))+(↔($2018$⊉≛↸$3684$⨵⪆(+⊝⨔$2503$)))","expression":"(⨑⩽⪐(⫏≰11120222%⫏≰20101002)↬(⫏≰102120021⪠⩆⊳))+(↔(⫏≰2202202⊉≛↸⫏≰12001110⨵⪆(+⊝⨔⫏≰10102201)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":66,"operation_count":9,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3347,"base":3},"right_expr":{"type":"numeric_atoms","value":4646,"base":3}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":8431,"base":3}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2018,"base":3},"right_expr":{"type":"numeric_atoms","value":3684,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2503,"base":3}}}}},"used_operators":["W4YGzv6Whe","AF7qkfDlqP","B5M0gjZbta","k8jYdgA6NY","JLbD19bQDL","ruOEQAzv1W","2DQ55sFlQl","DZ8iAZOCBD","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3347","layer":4},{"info":"number node, value=4646","layer":4},{"info":"compute binary expreesion, left_input=3347, right_input=4646, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3347","layer":3},{"info":"number node, value=8431","layer":4},{"info":"compute unary expreesion, input=8431, 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=3347, 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 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=2018","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=2018, right_input=3684, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4036","layer":3},{"info":"number node, value=2503","layer":4},{"info":"compute unary expreesion, input=2503, 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=4036, right_input=1522, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨑⩽⪐(⫏≰11120222%⫏≰20101002)↬(⫏≰102120021⪠⩆⊳))+(↔(⫏≰2202202⊉≛↸⫏≰12001110⨵⪆(+⊝⨔⫏≰10102201)))=NaN","reverse_text":"NaN=(⨑⩽⪐(⫏≰11120222%⫏≰20101002)↬(⫏≰102120021⪠⩆⊳))+(↔(⫏≰2202202⊉≛↸⫏≰12001110⨵⪆(+⊝⨔⫏≰10102201)))","cot":[{"info":"⫏≰11120222%⫏≰20101002=⫏≰11120222","layer":3},{"info":"⫏≰102120021⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰11120222↬⫏≰0=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⫏≰2202202⊉≛↸⫏≰12001110=⫏≰12112111","layer":3},{"info":"+⊝⨔⫏≰10102201=⫏≰2002101","layer":3},{"info":"⫏≰12112111⨵⪆⫏≰2002101=⫏≰12221","layer":2},{"info":"↔⫏≰12221=⫏≰11012","layer":1},{"info":"NaN+⫏≰11012=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"(($2893$⪮%⊝$1987$≣⋋)≣⋋)⊦⊿","expression":"((⫏≰10222011⪮%⊝⫏≰2201121≣⋋)≣⋋)⊦⊿","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":533,"operation_count":4,"complexity_ratio":133.25,"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":2893,"base":3},"right_expr":{"type":"numeric_atoms","value":1987,"base":3}}}}},"used_operators":["14qkJME0vr","Tcnh7f0tEr","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫏≰-2221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2893","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=1987, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6102","layer":3},{"info":"compute unary expreesion, input=6102, 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 = 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10222011⪮%⊝⫏≰2201121≣⋋)≣⋋)⊦⊿=⫏≰-2221","reverse_text":"⫏≰-2221=((⫏≰10222011⪮%⊝⫏≰2201121≣⋋)≣⋋)⊦⊿","cot":[{"info":"⫏≰10222011⪮%⊝⫏≰2201121=⫏≰22101000","layer":3},{"info":"⫏≰22101000≣⋋=⫏≰0","layer":2},{"info":"⫏≰0≣⋋=⫏≰0","layer":1},{"info":"⫏≰0⊦⊿=⫏≰-2221","layer":0}]}
{"id":665,"expression_no_base_symbol":"⪝⪂⫅(($3724$%$3611$)⨪↰⇹$7289$∼$4831$)⪮%⊝($2752$⨟⋌⩍$3197$)⨟⋌⩍($2039$⨓$1279$)","expression":"⪝⪂⫅((⫏≰12002221%⫏≰11221202)⨪↰⇹⫏≰100222222∼⫏≰20121221)⪮%⊝(⫏≰10202221⨟⋌⩍⫏≰11101102)⨟⋌⩍(⫏≰2210112⨓⫏≰1202101)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1558,"operation_count":8,"complexity_ratio":194.75,"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":3724,"base":3},"right_expr":{"type":"numeric_atoms","value":3611,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7289,"base":3},"right_expr":{"type":"numeric_atoms","value":4831,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2752,"base":3},"right_expr":{"type":"numeric_atoms","value":3197,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2039,"base":3},"right_expr":{"type":"numeric_atoms","value":1279,"base":3}}}}},"used_operators":["XTarYq4gQB","IWmyXbctLI","tmPS8pqC7x","k8jYdgA6NY","DyGG3AbaNP","rGHVDoGpnC","3ViojmjbAp"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3724","layer":4},{"info":"number node, value=3611","layer":4},{"info":"compute binary expreesion, left_input=3724, right_input=3611, op_id = k8jYdgA6NY binary_op_definition= 'None', output=113","layer":3},{"info":"number node, value=7289","layer":4},{"info":"number node, value=4831","layer":4},{"info":"compute binary expreesion, left_input=7289, 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":"compute binary expreesion, left_input=113, 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=113","layer":2},{"info":"number node, value=2752","layer":4},{"info":"number node, value=3197","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=3197, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=2039","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=2039, right_input=1279, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1282","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1282, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=113, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪝⪂⫅((⫏≰12002221%⫏≰11221202)⨪↰⇹⫏≰100222222∼⫏≰20121221)⪮%⊝(⫏≰10202221⨟⋌⩍⫏≰11101102)⨟⋌⩍(⫏≰2210112⨓⫏≰1202101)=NaN","reverse_text":"NaN=⪝⪂⫅((⫏≰12002221%⫏≰11221202)⨪↰⇹⫏≰100222222∼⫏≰20121221)⪮%⊝(⫏≰10202221⨟⋌⩍⫏≰11101102)⨟⋌⩍(⫏≰2210112⨓⫏≰1202101)","cot":[{"info":"⫏≰12002221%⫏≰11221202=⫏≰11012","layer":3},{"info":"⫏≰100222222∼⫏≰20121221=NaN","layer":3},{"info":"⫏≰11012⨪↰⇹NaN=⫏≰11012","layer":2},{"info":"⫏≰10202221⨟⋌⩍⫏≰11101102=NaN","layer":3},{"info":"⫏≰2210112⨓⫏≰1202101=⫏≰-1202111","layer":3},{"info":"NaN⨟⋌⩍⫏≰-1202111=NaN","layer":2},{"info":"⫏≰11012⪮%⊝NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"(($1506$+⇶⊼$5719$)⨓($3328$⫥∨⫟$2755$)≫≃)≹⇙⪍((($6732$⫡⨏$5488$)≎⊠⪸($3018$↺$2615$))⨪↰⇹(≦∁($1464$∧)))","expression":"((⫏≰2001210+⇶⊼⫏≰21211211)⨓(⫏≰11120021⫥∨⫟⫏≰10210001)≫≃)≹⇙⪍(((⫏≰100020100⫡⨏⫏≰21112021)≎⊠⪸(⫏≰11010210↺⫏≰10120212))⨪↰⇹(≦∁(⫏≰2000020∧)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":457,"operation_count":11,"complexity_ratio":41.54545454545455,"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":1506,"base":3},"right_expr":{"type":"numeric_atoms","value":5719,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3328,"base":3},"right_expr":{"type":"numeric_atoms","value":2755,"base":3}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6732,"base":3},"right_expr":{"type":"numeric_atoms","value":5488,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3018,"base":3},"right_expr":{"type":"numeric_atoms","value":2615,"base":3}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1464,"base":3}}}}},"used_operators":["AHs5Up7iyr","X99M06cbEe","3ViojmjbAp","TpPTUOHfaN","KYD54nUTWz","tmPS8pqC7x","bJkvcejdHO","QMFrweE19q","7j4O788W3g","9ICcGScMcE","z63VuFQld9"],"dependent_operators":["dWAJyo7jo9","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1506","layer":4},{"info":"number node, value=5719","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=5719, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3328","layer":4},{"info":"number node, value=2755","layer":4},{"info":"compute binary expreesion, left_input=3328, right_input=2755, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', 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":"number node, value=6732","layer":4},{"info":"number node, value=5488","layer":4},{"info":"compute binary expreesion, left_input=6732, right_input=5488, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=45419","layer":3},{"info":"number node, value=3018","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=3018, right_input=2615, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2615","layer":3},{"info":"compute binary expreesion, left_input=45419, right_input=2615, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=11763048","layer":2},{"info":"number node, value=1464","layer":4},{"info":"compute unary expreesion, input=1464, 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 = 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=11763048, 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 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":3,"result_base":3,"text":"((⫏≰2001210+⇶⊼⫏≰21211211)⨓(⫏≰11120021⫥∨⫟⫏≰10210001)≫≃)≹⇙⪍(((⫏≰100020100⫡⨏⫏≰21112021)≎⊠⪸(⫏≰11010210↺⫏≰10120212))⨪↰⇹(≦∁(⫏≰2000020∧)))=NaN","reverse_text":"NaN=((⫏≰2001210+⇶⊼⫏≰21211211)⨓(⫏≰11120021⫥∨⫟⫏≰10210001)≫≃)≹⇙⪍(((⫏≰100020100⫡⨏⫏≰21112021)≎⊠⪸(⫏≰11010210↺⫏≰10120212))⨪↰⇹(≦∁(⫏≰2000020∧)))","cot":[{"info":"⫏≰2001210+⇶⊼⫏≰21211211=NaN","layer":3},{"info":"⫏≰11120021⫥∨⫟⫏≰10210001=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⫏≰100020100⫡⨏⫏≰21112021=⫏≰2022022012","layer":3},{"info":"⫏≰11010210↺⫏≰10120212=⫏≰10120212","layer":3},{"info":"⫏≰2022022012≎⊠⪸⫏≰10120212=⫏≰211010121212110","layer":2},{"info":"⫏≰2000020∧=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⫏≰211010121212110⨪↰⇹NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":667,"expression_no_base_symbol":"(($2191$⋫)⨳⩥⨓($1453$⊭∹↮)⋷(⊙↵-($2572$+⇶⊼$5042$)))⪘⫢(($4204$≦≮≮)⩷∴($4997$⩨$3980$))∼(∥⊫(↯⪼$4405$))","expression":"((⫏≰10000011⋫)⨳⩥⨓(⫏≰1222211⊭∹↮)⋷(⊙↵-(⫏≰10112021+⇶⊼⫏≰20220202)))⪘⫢((⫏≰12202201≦≮≮)⩷∴(⫏≰20212002⩨⫏≰12110102))∼(∥⊫(↯⪼⫏≰20001011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6191,"operation_count":13,"complexity_ratio":476.2307692307692,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2191,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1453,"base":3}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2572,"base":3},"right_expr":{"type":"numeric_atoms","value":5042,"base":3}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4204,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4997,"base":3},"right_expr":{"type":"numeric_atoms","value":3980,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4405,"base":3}}}}},"used_operators":["oacrs7FA3X","23Mk6UjR3U","nCS4ZIUYfx","JL8yIekQnl","xNBdhnnwKq","oWn0xqSxBt","TpPTUOHfaN","DyGG3AbaNP","9FxExcQeMw","D4vGDi5EA2","2DlMacCsIx","P8v4zCKN1o","8jW3W4yZS5"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2191","layer":4},{"info":"compute unary expreesion, input=2191, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2191","layer":3},{"info":"number node, value=1453","layer":4},{"info":"compute unary expreesion, input=1453, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2906","layer":3},{"info":"compute binary expreesion, left_input=2191, right_input=2906, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=715","layer":2},{"info":"number node, value=2572","layer":4},{"info":"number node, value=5042","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=5042, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":"compute binary expreesion, left_input=715, 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=4204","layer":4},{"info":"compute unary expreesion, input=4204, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-12612","layer":3},{"info":"number node, value=4997","layer":4},{"info":"number node, value=3980","layer":4},{"info":"compute binary expreesion, left_input=4997, right_input=3980, 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=-12612, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-25256","layer":2},{"info":"number node, value=4405","layer":4},{"info":"compute unary expreesion, input=4405, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=847","layer":2},{"info":"compute binary expreesion, left_input=-25256, right_input=847, 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 = 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":3,"result_base":3,"text":"((⫏≰10000011⋫)⨳⩥⨓(⫏≰1222211⊭∹↮)⋷(⊙↵-(⫏≰10112021+⇶⊼⫏≰20220202)))⪘⫢((⫏≰12202201≦≮≮)⩷∴(⫏≰20212002⩨⫏≰12110102))∼(∥⊫(↯⪼⫏≰20001011))=NaN","reverse_text":"NaN=((⫏≰10000011⋫)⨳⩥⨓(⫏≰1222211⊭∹↮)⋷(⊙↵-(⫏≰10112021+⇶⊼⫏≰20220202)))⪘⫢((⫏≰12202201≦≮≮)⩷∴(⫏≰20212002⩨⫏≰12110102))∼(∥⊫(↯⪼⫏≰20001011))","cot":[{"info":"⫏≰10000011⋫=⫏≰10000011","layer":3},{"info":"⫏≰1222211⊭∹↮=⫏≰10222122","layer":3},{"info":"⫏≰10000011⨳⩥⨓⫏≰10222122=⫏≰222111","layer":2},{"info":"⫏≰10112021+⇶⊼⫏≰20220202=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⫏≰222111⋷NaN=NaN","layer":1},{"info":"⫏≰12202201≦≮≮=⫏≰-122022010","layer":3},{"info":"⫏≰20212002⩨⫏≰12110102=⫏≰0","layer":3},{"info":"⫏≰-122022010⩷∴⫏≰0=⫏≰-1021122102","layer":2},{"info":"↯⪼⫏≰20001011=⫏≰-210","layer":3},{"info":"∥⊫⫏≰-210=⫏≰1011101","layer":2},{"info":"⫏≰-1021122102∼⫏≰1011101=⫏≰0","layer":1},{"info":"NaN⪘⫢⫏≰0=NaN","layer":0}]}
{"id":668,"expression_no_base_symbol":"(↯⪼($2412$⪛$1721$∲⫓$2386$⨎$1510$))↬($5493$≎⊠⪸$2241$/$1318$⊉≛↸$1026$⪨≂(⩦⩻⨪($2729$⫸⊐$2668$)))","expression":"(↯⪼(⫏≰10022100⪛⫏≰2100202∲⫓⫏≰10021101⨎⫏≰2001221))↬(⫏≰21112110≎⊠⪸⫏≰10002000/⫏≰1210211⊉≛↸⫏≰1102000⪨≂(⩦⩻⨪(⫏≰10202002⫸⊐⫏≰10122211)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":902,"operation_count":11,"complexity_ratio":82.0,"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":2412,"base":3},"right_expr":{"type":"numeric_atoms","value":1721,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2386,"base":3},"right_expr":{"type":"numeric_atoms","value":1510,"base":3}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5493,"base":3},"right_expr":{"type":"numeric_atoms","value":2241,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1318,"base":3},"right_expr":{"type":"numeric_atoms","value":1026,"base":3}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2729,"base":3},"right_expr":{"type":"numeric_atoms","value":2668,"base":3}}}}},"used_operators":["B5M0gjZbta","8jW3W4yZS5","i8ToyICDmI","uFcxV4UQCh","rJVOvQCfKK","sdazOOVcIp","XhwjNDsVaA","bJkvcejdHO","DZ8iAZOCBD","2td37pGCOC","mqXw5SEYmG"],"dependent_operators":["rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2412","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=2412, right_input=1721, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=691","layer":3},{"info":"number node, value=2386","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=1510, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1510","layer":3},{"info":"compute binary expreesion, left_input=691, right_input=1510, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=5493","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=5493, right_input=2241, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1422214","layer":3},{"info":"number node, value=1318","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=1026, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2636","layer":3},{"info":"compute binary expreesion, left_input=1422214, right_input=2636, op_id = XhwjNDsVaA binary_op_definition= 'None', output=539","layer":2},{"info":"number node, value=2729","layer":4},{"info":"number node, value=2668","layer":4},{"info":"compute binary expreesion, left_input=2729, right_input=2668, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10547","layer":3},{"info":"compute unary expreesion, input=10547, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=10547","layer":2},{"info":"compute binary expreesion, left_input=539, right_input=10547, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-19914","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-19914, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":3,"result_base":3,"text":"(↯⪼(⫏≰10022100⪛⫏≰2100202∲⫓⫏≰10021101⨎⫏≰2001221))↬(⫏≰21112110≎⊠⪸⫏≰10002000/⫏≰1210211⊉≛↸⫏≰1102000⪨≂(⩦⩻⨪(⫏≰10202002⫸⊐⫏≰10122211)))=NaN","reverse_text":"NaN=(↯⪼(⫏≰10022100⪛⫏≰2100202∲⫓⫏≰10021101⨎⫏≰2001221))↬(⫏≰21112110≎⊠⪸⫏≰10002000/⫏≰1210211⊉≛↸⫏≰1102000⪨≂(⩦⩻⨪(⫏≰10202002⫸⊐⫏≰10122211)))","cot":[{"info":"⫏≰10022100⪛⫏≰2100202=⫏≰221121","layer":3},{"info":"⫏≰10021101⨎⫏≰2001221=⫏≰2001221","layer":3},{"info":"⫏≰221121∲⫓⫏≰2001221=⫏≰0","layer":2},{"info":"↯⪼⫏≰0=⫏≰-210","layer":1},{"info":"⫏≰21112110≎⊠⪸⫏≰10002000=⫏≰2200020220121","layer":3},{"info":"⫏≰1210211⊉≛↸⫏≰1102000=⫏≰10121122","layer":3},{"info":"⫏≰2200020220121/⫏≰10121122=⫏≰201222","layer":2},{"info":"⫏≰10202002⫸⊐⫏≰10122211=⫏≰112110122","layer":3},{"info":"⩦⩻⨪⫏≰112110122=⫏≰112110122","layer":2},{"info":"⫏≰201222⪨≂⫏≰112110122=⫏≰-1000022120","layer":1},{"info":"⫏≰-210↬⫏≰-1000022120=NaN","layer":0}]}
{"id":669,"expression_no_base_symbol":"((⇁⨣⪵$1046$)∲⫓$8613$⨰$1272$)⪛((⊙↵-$1403$)∑⇟⊟($6767$/$6607$))⫌⩹⨱","expression":"((⇁⨣⪵⫏≰1102202)∲⫓⫏≰102211000⨰⫏≰1202010)⪛((⊙↵-⫏≰1220222)∑⇟⊟(⫏≰100021122/⫏≰100001201))⫌⩹⨱","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1471,"operation_count":8,"complexity_ratio":183.875,"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":1046,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8613,"base":3},"right_expr":{"type":"numeric_atoms","value":1272,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1403,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6767,"base":3},"right_expr":{"type":"numeric_atoms","value":6607,"base":3}}}}},"used_operators":["EBcxylXtPf","uFcxV4UQCh","i8ToyICDmI","inkyxCbjAn","eewbuw0ToL","U7g4x0WXJJ","oWn0xqSxBt","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=8613","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=8613, right_input=1272, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7351","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7351, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1403","layer":4},{"info":"compute unary expreesion, input=1403, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=6767","layer":4},{"info":"number node, value=6607","layer":4},{"info":"compute binary expreesion, left_input=6767, right_input=6607, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⇁⨣⪵⫏≰1102202)∲⫓⫏≰102211000⨰⫏≰1202010)⪛((⊙↵-⫏≰1220222)∑⇟⊟(⫏≰100021122/⫏≰100001201))⫌⩹⨱=NaN","reverse_text":"NaN=((⇁⨣⪵⫏≰1102202)∲⫓⫏≰102211000⨰⫏≰1202010)⪛((⊙↵-⫏≰1220222)∑⇟⊟(⫏≰100021122/⫏≰100001201))⫌⩹⨱","cot":[{"info":"⇁⨣⪵⫏≰1102202=NaN","layer":3},{"info":"⫏≰102211000⨰⫏≰1202010=⫏≰101002021","layer":3},{"info":"NaN∲⫓⫏≰101002021=⫏≰0","layer":2},{"info":"⊙↵-⫏≰1220222=⫏≰-1","layer":3},{"info":"⫏≰100021122/⫏≰100001201=⫏≰1","layer":3},{"info":"⫏≰-1∑⇟⊟⫏≰1=⫏≰0","layer":2},{"info":"⫏≰0⪛⫏≰0=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":670,"expression_no_base_symbol":"⊙↵-((($1377$∸)⫡⨏(↩$1511$))⨁⊸⫻)","expression":"⊙↵-(((⫏≰1220000∸)⫡⨏(↩⫏≰2001222))⨁⊸⫻)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":34131,"operation_count":5,"complexity_ratio":6826.2,"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":1377,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1511,"base":3}}}}},"used_operators":["oWn0xqSxBt","glklzrTFfD","QMFrweE19q","o20kRiQErp","jLgFTUHLKL"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⫏≰21021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1377","layer":4},{"info":"compute unary expreesion, input=1377, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1511","layer":4},{"info":"compute unary expreesion, input=1511, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9308","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-9308, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-16948","layer":2},{"info":"compute unary expreesion, input=-16948, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-33896","layer":1},{"info":"compute unary expreesion, input=-33896, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":3,"result_base":3,"text":"⊙↵-(((⫏≰1220000∸)⫡⨏(↩⫏≰2001222))⨁⊸⫻)=⫏≰21021","reverse_text":"⫏≰21021=⊙↵-(((⫏≰1220000∸)⫡⨏(↩⫏≰2001222))⨁⊸⫻)","cot":[{"info":"⫏≰1220000∸=⫏≰20120","layer":3},{"info":"↩⫏≰2001222=⫏≰-110202202","layer":3},{"info":"⫏≰20120⫡⨏⫏≰-110202202=⫏≰-212020201","layer":2},{"info":"⫏≰-212020201⨁⊸⫻=⫏≰-1201111102","layer":1},{"info":"⊙↵-⫏≰-1201111102=⫏≰21021","layer":0}]}
{"id":671,"expression_no_base_symbol":"⨈⫕(⪲⇎($3240$⫡⨏$1115$)⨟⋌⩍$1280$⊴$1664$)","expression":"⨈⫕(⪲⇎(⫏≰11110000⫡⨏⫏≰1112022)⨟⋌⩍⫏≰1202102⊴⫏≰2021122)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2066,"operation_count":5,"complexity_ratio":413.2,"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":3240,"base":3},"right_expr":{"type":"numeric_atoms","value":1115,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1280,"base":3},"right_expr":{"type":"numeric_atoms","value":1664,"base":3}}}}},"used_operators":["megm06wKyl","XPYlsWDdGa","rGHVDoGpnC","QMFrweE19q","Nsiff2A1zJ"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3240","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=3240, right_input=1115, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19213","layer":3},{"info":"number node, value=1280","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=1664, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19213, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (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":3,"result_base":3,"text":"⨈⫕(⪲⇎(⫏≰11110000⫡⨏⫏≰1112022)⨟⋌⩍⫏≰1202102⊴⫏≰2021122)=⫏≰-210","reverse_text":"⫏≰-210=⨈⫕(⪲⇎(⫏≰11110000⫡⨏⫏≰1112022)⨟⋌⩍⫏≰1202102⊴⫏≰2021122)","cot":[{"info":"⫏≰11110000⫡⨏⫏≰1112022=⫏≰222100121","layer":3},{"info":"⫏≰1202102⊴⫏≰2021122=NaN","layer":3},{"info":"⫏≰222100121⨟⋌⩍NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⨈⫕NaN=⫏≰-210","layer":0}]}
{"id":672,"expression_no_base_symbol":"⪲⇎(⫛⫱⨽((⩦⩻⨪$2868$)⨵⪆($6463$↪⪝)))","expression":"⪲⇎(⫛⫱⨽((⩦⩻⨪⫏≰10221020)⨵⪆(⫏≰22212101↪⪝)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1777,"operation_count":5,"complexity_ratio":355.4,"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":2868,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":6463,"base":3}}}}},"used_operators":["XPYlsWDdGa","DlLNRPXxWL","2DQ55sFlQl","2td37pGCOC","l07mrZUIn9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2868","layer":4},{"info":"compute unary expreesion, input=2868, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2868","layer":3},{"info":"number node, value=6463","layer":4},{"info":"compute unary expreesion, input=6463, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=395419266","layer":3},{"info":"compute binary expreesion, left_input=2868, right_input=395419266, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"⪲⇎(⫛⫱⨽((⩦⩻⨪⫏≰10221020)⨵⪆(⫏≰22212101↪⪝)))=⫏≰0","reverse_text":"⫏≰0=⪲⇎(⫛⫱⨽((⩦⩻⨪⫏≰10221020)⨵⪆(⫏≰22212101↪⪝)))","cot":[{"info":"⩦⩻⨪⫏≰10221020=⫏≰10221020","layer":3},{"info":"⫏≰22212101↪⪝=⫏≰1000120001101021000","layer":3},{"info":"⫏≰10221020⨵⪆⫏≰1000120001101021000=⫏≰12221","layer":2},{"info":"⫛⫱⨽⫏≰12221=⫏≰0","layer":1},{"info":"⪲⇎⫏≰0=⫏≰0","layer":0}]}
{"id":673,"expression_no_base_symbol":"($4376$⩷∴$4726$⩷∴($1012$⨰$5943$)⨎(↥$1802$)⊴($1866$⪐))≭((⨈⫕($3220$≫≃))⊭↱($8913$≎⊠⪸$1774$)⨓($2750$⩚⊴⇥$1440$))","expression":"(⫏≰20000002⩷∴⫏≰20111001⩷∴(⫏≰1101111⨰⫏≰22011010)⨎(↥⫏≰2110202)⊴(⫏≰2120010⪐))≭((⨈⫕(⫏≰11102021≫≃))⊭↱(⫏≰110020010≎⊠⪸⫏≰2102201)⨓(⫏≰10202212⩚⊴⇥⫏≰1222100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8784,"operation_count":14,"complexity_ratio":627.4285714285714,"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":4376,"base":3},"right_expr":{"type":"numeric_atoms","value":4726,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1012,"base":3},"right_expr":{"type":"numeric_atoms","value":5943,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1802,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1866,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3220,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":8913,"base":3},"right_expr":{"type":"numeric_atoms","value":1774,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2750,"base":3},"right_expr":{"type":"numeric_atoms","value":1440,"base":3}}}}},"used_operators":["rxpJgHHUmx","rJVOvQCfKK","9FxExcQeMw","eewbuw0ToL","Nsiff2A1zJ","A8NUZmVepG","eH2TOUuTDT","COABgblf1C","megm06wKyl","X99M06cbEe","3ViojmjbAp","bJkvcejdHO","NTOWxs364D"],"dependent_operators":["AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4376","layer":4},{"info":"number node, value=4726","layer":4},{"info":"compute binary expreesion, left_input=4376, right_input=4726, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-732","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=5943","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=5943, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4921","layer":3},{"info":"compute binary expreesion, left_input=-732, right_input=-4921, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8346","layer":2},{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":3},{"info":"number node, value=1866","layer":4},{"info":"compute unary expreesion, input=1866, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3732","layer":3},{"info":"compute binary expreesion, left_input=17, right_input=3732, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8346, 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=3220","layer":4},{"info":"compute unary expreesion, input=3220, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7841","layer":3},{"info":"compute unary expreesion, input=7841, 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=8913","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=8913, right_input=1774, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2307994","layer":3},{"info":"number node, value=2750","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=2750, right_input=1440, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4311","layer":3},{"info":"compute binary expreesion, left_input=2307994, right_input=-4311, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4314","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-4314, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8581","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8581, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"(⫏≰20000002⩷∴⫏≰20111001⩷∴(⫏≰1101111⨰⫏≰22011010)⨎(↥⫏≰2110202)⊴(⫏≰2120010⪐))≭((⨈⫕(⫏≰11102021≫≃))⊭↱(⫏≰110020010≎⊠⪸⫏≰2102201)⨓(⫏≰10202212⩚⊴⇥⫏≰1222100))=NaN","reverse_text":"NaN=(⫏≰20000002⩷∴⫏≰20111001⩷∴(⫏≰1101111⨰⫏≰22011010)⨎(↥⫏≰2110202)⊴(⫏≰2120010⪐))≭((⨈⫕(⫏≰11102021≫≃))⊭↱(⫏≰110020010≎⊠⪸⫏≰2102201)⨓(⫏≰10202212⩚⊴⇥⫏≰1222100))","cot":[{"info":"⫏≰20000002⩷∴⫏≰20111001=⫏≰-1000010","layer":3},{"info":"⫏≰1101111⨰⫏≰22011010=⫏≰-20202021","layer":3},{"info":"⫏≰-1000010⩷∴⫏≰-20202021=⫏≰102110010","layer":2},{"info":"↥⫏≰2110202=⫏≰122","layer":3},{"info":"⫏≰2120010⪐=⫏≰12010020","layer":3},{"info":"⫏≰122⊴⫏≰12010020=NaN","layer":2},{"info":"⫏≰102110010⨎NaN=NaN","layer":1},{"info":"⫏≰11102021≫≃=⫏≰101202102","layer":3},{"info":"⨈⫕⫏≰101202102=⫏≰-210","layer":2},{"info":"⫏≰110020010≎⊠⪸⫏≰2102201=⫏≰11100020222021","layer":3},{"info":"⫏≰10202212⩚⊴⇥⫏≰1222100=⫏≰-12220200","layer":3},{"info":"⫏≰11100020222021⨓⫏≰-12220200=⫏≰-12220210","layer":2},{"info":"⫏≰-210⊭↱⫏≰-12220210=⫏≰-102202211","layer":1},{"info":"NaN≭⫏≰-102202211=NaN","layer":0}]}
{"id":674,"expression_no_base_symbol":"((⫓⪴($1040$⨐⩸⫘$2972$))*((≦∁$5712$)↪⪝))∧","expression":"((⫓⪴(⫏≰1102112⨐⩸⫘⫏≰11002002))*((≦∁⫏≰21211120)↪⪝))∧","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":712,"operation_count":6,"complexity_ratio":118.66666666666667,"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":1040,"base":3},"right_expr":{"type":"numeric_atoms","value":2972,"base":3}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5712,"base":3}}}}},"used_operators":["z63VuFQld9","9HNa5Wba9A","eLxqMNBOBk","fu6greOZ01","l07mrZUIn9","9ICcGScMcE"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","9HNa5Wba9A","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1040","layer":4},{"info":"number node, value=2972","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=2972, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":"number node, value=5712","layer":4},{"info":"compute unary expreesion, input=5712, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5712","layer":3},{"info":"compute unary expreesion, input=5712, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=349471584","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=349471584, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫓⪴(⫏≰1102112⨐⩸⫘⫏≰11002002))*((≦∁⫏≰21211120)↪⪝))∧=NaN","reverse_text":"NaN=((⫓⪴(⫏≰1102112⨐⩸⫘⫏≰11002002))*((≦∁⫏≰21211120)↪⪝))∧","cot":[{"info":"⫏≰1102112⨐⩸⫘⫏≰11002002=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"≦∁⫏≰21211120=⫏≰21211120","layer":3},{"info":"⫏≰21211120↪⪝=⫏≰220100120222220000","layer":2},{"info":"NaN*⫏≰220100120222220000=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":675,"expression_no_base_symbol":"(⇁⨣⪵($1513$≎⊠⪸$2477$)⨰($2214$+⇶⊼$1161$))*(($1398$⊦⊿)-$5231$⋥≓≎$2285$)⩚⊴⇥(($2787$%$2758$)⋳⪒($2258$⊘))","expression":"(⇁⨣⪵(⫏≰2002001≎⊠⪸⫏≰10101202)⨰(⫏≰10001000+⇶⊼⫏≰1121000))*((⫏≰1220210⊦⊿)-⫏≰21011202⋥≓≎⫏≰10010122)⩚⊴⇥((⫏≰10211020%⫏≰10210011)⋳⪒(⫏≰10002122⊘))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":320,"operation_count":12,"complexity_ratio":26.666666666666668,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1513,"base":3},"right_expr":{"type":"numeric_atoms","value":2477,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2214,"base":3},"right_expr":{"type":"numeric_atoms","value":1161,"base":3}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1398,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5231,"base":3},"right_expr":{"type":"numeric_atoms","value":2285,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2787,"base":3},"right_expr":{"type":"numeric_atoms","value":2758,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2258,"base":3}}}}},"used_operators":["9HNa5Wba9A","inkyxCbjAn","eewbuw0ToL","bJkvcejdHO","TpPTUOHfaN","NTOWxs364D","rysDP5nf3Z","14qkJME0vr","Qy55tPpLXF","12rbrZMWeM","k8jYdgA6NY","gu96TGCTMs"],"dependent_operators":["W4YGzv6Whe","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1513","layer":4},{"info":"number node, value=2477","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=2477, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=391394","layer":3},{"info":"number node, value=2214","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=1161, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=391394, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4273","layer":3},{"info":"number node, value=5231","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=5231, right_input=2285, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-628","layer":3},{"info":"compute binary expreesion, left_input=-4273, right_input=-628, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3645","layer":2},{"info":"number node, value=2787","layer":4},{"info":"number node, value=2758","layer":4},{"info":"compute binary expreesion, left_input=2787, right_input=2758, op_id = k8jYdgA6NY binary_op_definition= 'None', output=29","layer":3},{"info":"number node, value=2258","layer":4},{"info":"compute unary expreesion, input=2258, 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=29, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-229","layer":2},{"info":"compute binary expreesion, left_input=-3645, right_input=-229, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=3753","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3753, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇁⨣⪵(⫏≰2002001≎⊠⪸⫏≰10101202)⨰(⫏≰10001000+⇶⊼⫏≰1121000))*((⫏≰1220210⊦⊿)-⫏≰21011202⋥≓≎⫏≰10010122)⩚⊴⇥((⫏≰10211020%⫏≰10210011)⋳⪒(⫏≰10002122⊘))=NaN","reverse_text":"NaN=(⇁⨣⪵(⫏≰2002001≎⊠⪸⫏≰10101202)⨰(⫏≰10001000+⇶⊼⫏≰1121000))*((⫏≰1220210⊦⊿)-⫏≰21011202⋥≓≎⫏≰10010122)⩚⊴⇥((⫏≰10211020%⫏≰10210011)⋳⪒(⫏≰10002122⊘))","cot":[{"info":"⫏≰2002001≎⊠⪸⫏≰10101202=⫏≰201212220002","layer":3},{"info":"⫏≰10001000+⇶⊼⫏≰1121000=NaN","layer":3},{"info":"⫏≰201212220002⨰NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⫏≰1220210⊦⊿=⫏≰-12212021","layer":3},{"info":"⫏≰21011202⋥≓≎⫏≰10010122=⫏≰-212021","layer":3},{"info":"⫏≰-12212021-⫏≰-212021=⫏≰-12000000","layer":2},{"info":"⫏≰10211020%⫏≰10210011=⫏≰1002","layer":3},{"info":"⫏≰10002122⊘=⫏≰0","layer":3},{"info":"⫏≰1002⋳⪒⫏≰0=⫏≰-22111","layer":2},{"info":"⫏≰-12000000⩚⊴⇥⫏≰-22111=⫏≰12011000","layer":1},{"info":"NaN*⫏≰12011000=NaN","layer":0}]}
{"id":676,"expression_no_base_symbol":"(⋗⩬⋾$5083$⋝⋈⪟$4096$≧⫂∧$5082$⨟⋌⩍$2124$)⨟⋌⩍(((∂$4077$)⫡⨏$1088$⩷∴$3111$)⋝⋈⪟(⨈⫕$4535$⋝⋈⪟$1022$))","expression":"(⋗⩬⋾⫏≰20222021⋝⋈⪟⫏≰12121201≧⫂∧⫏≰20222020⨟⋌⩍⫏≰2220200)⨟⋌⩍(((∂⫏≰12121000)⫡⨏⫏≰1111022⩷∴⫏≰11021020)⋝⋈⪟(⨈⫕⫏≰20012222⋝⋈⪟⫏≰1101212))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":415,"operation_count":11,"complexity_ratio":37.72727272727273,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5083,"base":3},"right_expr":{"type":"numeric_atoms","value":4096,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5082,"base":3},"right_expr":{"type":"numeric_atoms","value":2124,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4077,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1088,"base":3},"right_expr":{"type":"numeric_atoms","value":3111,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4535,"base":3},"right_expr":{"type":"numeric_atoms","value":1022,"base":3}}}}},"used_operators":["rGHVDoGpnC","DpFCA1CohY","Ph9nP6C5qx","2DDjHMKMc0","QMFrweE19q","Uaa54Peajs","9FxExcQeMw","megm06wKyl"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5083","layer":4},{"info":"number node, value=4096","layer":4},{"info":"compute binary expreesion, left_input=5083, right_input=4096, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5083","layer":3},{"info":"number node, value=5082","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=5082, right_input=2124, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=5083, 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 = 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=4077","layer":4},{"info":"compute unary expreesion, input=4077, 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=1088","layer":4},{"info":"number node, value=3111","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=3111, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4078","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4078, op_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=4535","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=4535, right_input=1022, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4535","layer":3},{"info":"compute unary expreesion, input=4535, 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 = 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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":3,"result_base":3,"text":"(⋗⩬⋾⫏≰20222021⋝⋈⪟⫏≰12121201≧⫂∧⫏≰20222020⨟⋌⩍⫏≰2220200)⨟⋌⩍(((∂⫏≰12121000)⫡⨏⫏≰1111022⩷∴⫏≰11021020)⋝⋈⪟(⨈⫕⫏≰20012222⋝⋈⪟⫏≰1101212))=NaN","reverse_text":"NaN=(⋗⩬⋾⫏≰20222021⋝⋈⪟⫏≰12121201≧⫂∧⫏≰20222020⨟⋌⩍⫏≰2220200)⨟⋌⩍(((∂⫏≰12121000)⫡⨏⫏≰1111022⩷∴⫏≰11021020)⋝⋈⪟(⨈⫕⫏≰20012222⋝⋈⪟⫏≰1101212))","cot":[{"info":"⫏≰20222021⋝⋈⪟⫏≰12121201=⫏≰20222021","layer":3},{"info":"⫏≰20222020⨟⋌⩍⫏≰2220200=NaN","layer":3},{"info":"⫏≰20222021≧⫂∧NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"∂⫏≰12121000=NaN","layer":3},{"info":"⫏≰1111022⩷∴⫏≰11021020=⫏≰-12121001","layer":3},{"info":"NaN⫡⨏⫏≰-12121001=NaN","layer":2},{"info":"⫏≰20012222⋝⋈⪟⫏≰1101212=⫏≰20012222","layer":3},{"info":"⨈⫕⫏≰20012222=⫏≰-210","layer":2},{"info":"NaN⋝⋈⪟⫏≰-210=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":677,"expression_no_base_symbol":"(((⪝⪂⫅$2535$)⋷($3770$+$3438$))⩷∴($2068$⩷∴$1550$)⨟⋌⩍(⨵≀≌$1494$))∼((($2014$⫡⨏$1417$)⫸⊐(≤/$6332$))∧)","expression":"(((⪝⪂⫅⫏≰10110220)⋷(⫏≰12011122+⫏≰11201100))⩷∴(⫏≰2211121⩷∴⫏≰2010102)⨟⋌⩍(⨵≀≌⫏≰2001100))∼(((⫏≰2202121⫡⨏⫏≰1221111)⫸⊐(≤/⫏≰22200112))∧)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":229,"operation_count":12,"complexity_ratio":19.083333333333332,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2535,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3770,"base":3},"right_expr":{"type":"numeric_atoms","value":3438,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2068,"base":3},"right_expr":{"type":"numeric_atoms","value":1550,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1494,"base":3}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2014,"base":3},"right_expr":{"type":"numeric_atoms","value":1417,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6332,"base":3}}}}},"used_operators":["DyGG3AbaNP","9FxExcQeMw","23Mk6UjR3U","XTarYq4gQB","W4YGzv6Whe","rGHVDoGpnC","srAu1WTS94","z63VuFQld9","mqXw5SEYmG","QMFrweE19q","eLAdDNolq6"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","Tcnh7f0tEr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫏≰202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2535","layer":4},{"info":"compute unary expreesion, input=2535, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-372645","layer":3},{"info":"number node, value=3770","layer":4},{"info":"number node, value=3438","layer":4},{"info":"compute binary expreesion, left_input=3770, right_input=3438, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7208","layer":3},{"info":"compute binary expreesion, left_input=-372645, right_input=7208, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=745290","layer":2},{"info":"number node, value=2068","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=1550, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1004","layer":3},{"info":"number node, value=1494","layer":4},{"info":"compute unary expreesion, input=1494, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4482","layer":3},{"info":"compute binary expreesion, left_input=1004, right_input=-4482, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=745290, 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=2014","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=2014, right_input=1417, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13687","layer":3},{"info":"number node, value=6332","layer":4},{"info":"compute unary expreesion, input=6332, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5848","layer":3},{"info":"compute binary expreesion, left_input=13687, right_input=-5848, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-11825","layer":2},{"info":"compute unary expreesion, input=-11825, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=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":0}],"base":3,"result_base":3,"text":"(((⪝⪂⫅⫏≰10110220)⋷(⫏≰12011122+⫏≰11201100))⩷∴(⫏≰2211121⩷∴⫏≰2010102)⨟⋌⩍(⨵≀≌⫏≰2001100))∼(((⫏≰2202121⫡⨏⫏≰1221111)⫸⊐(≤/⫏≰22200112))∧)=⫏≰202","reverse_text":"⫏≰202=(((⪝⪂⫅⫏≰10110220)⋷(⫏≰12011122+⫏≰11201100))⩷∴(⫏≰2211121⩷∴⫏≰2010102)⨟⋌⩍(⨵≀≌⫏≰2001100))∼(((⫏≰2202121⫡⨏⫏≰1221111)⫸⊐(≤/⫏≰22200112))∧)","cot":[{"info":"⪝⪂⫅⫏≰10110220=⫏≰-200221011200","layer":3},{"info":"⫏≰12011122+⫏≰11201100=⫏≰100212222","layer":3},{"info":"⫏≰-200221011200⋷⫏≰100212222=⫏≰1101212100100","layer":2},{"info":"⫏≰2211121⩷∴⫏≰2010102=⫏≰1101012","layer":3},{"info":"⨵≀≌⫏≰2001100=⫏≰-20011000","layer":3},{"info":"⫏≰1101012⨟⋌⩍⫏≰-20011000=NaN","layer":2},{"info":"⫏≰1101212100100⩷∴NaN=NaN","layer":1},{"info":"⫏≰2202121⫡⨏⫏≰1221111=⫏≰200202221","layer":3},{"info":"≤/⫏≰22200112=⫏≰-22000121","layer":3},{"info":"⫏≰200202221⫸⊐⫏≰-22000121=⫏≰-121012222","layer":2},{"info":"⫏≰-121012222∧=⫏≰0","layer":1},{"info":"NaN∼⫏≰0=⫏≰202","layer":0}]}
{"id":678,"expression_no_base_symbol":"((↩$3896$⨽$1476$)%$2284$≧⫂∧$2054$*$6806$⨰$2685$)*($2353$⋝⋈⪟$4619$)⨪↰⇹($3923$⫥∨⫟$2779$)≎⊠⪸($1689$↺$1286$⨳⩥⨓$6466$⨽$1847$)","expression":"((↩⫏≰12100022⨽⫏≰2000200)%⫏≰10010121≧⫂∧⫏≰2211002*⫏≰100100002⨰⫏≰10200110)*(⫏≰10020011⋝⋈⪟⫏≰20100002)⨪↰⇹(⫏≰12101022⫥∨⫟⫏≰10210221)≎⊠⪸(⫏≰2022120↺⫏≰1202122⨳⩥⨓⫏≰22212111⨽⫏≰2112102)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14608,"operation_count":14,"complexity_ratio":1043.4285714285713,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3896,"base":3},"right_expr":{"type":"numeric_atoms","value":1476,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2284,"base":3},"right_expr":{"type":"numeric_atoms","value":2054,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6806,"base":3},"right_expr":{"type":"numeric_atoms","value":2685,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2353,"base":3},"right_expr":{"type":"numeric_atoms","value":4619,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3923,"base":3},"right_expr":{"type":"numeric_atoms","value":2779,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1689,"base":3},"right_expr":{"type":"numeric_atoms","value":1286,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6466,"base":3},"right_expr":{"type":"numeric_atoms","value":1847,"base":3}}}}},"used_operators":["9HNa5Wba9A","k8jYdgA6NY","jLgFTUHLKL","8HhzD0ZcuI","Ph9nP6C5qx","eewbuw0ToL","bJkvcejdHO","tmPS8pqC7x","2DDjHMKMc0","KYD54nUTWz","nCS4ZIUYfx","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰1000011211222011121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3896","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=3896, right_input=1476, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-45539562","layer":3},{"info":"compute unary expreesion, input=-45539562, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=182160868","layer":2},{"info":"number node, value=2284","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=2054, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1581","layer":3},{"info":"number node, value=6806","layer":4},{"info":"number node, value=2685","layer":4},{"info":"compute binary expreesion, left_input=6806, right_input=2685, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4131","layer":3},{"info":"compute binary expreesion, left_input=1581, right_input=4131, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6531111","layer":2},{"info":"compute binary expreesion, left_input=182160868, right_input=6531111, op_id = k8jYdgA6NY binary_op_definition= 'None', output=5820871","layer":1},{"info":"number node, value=2353","layer":4},{"info":"number node, value=4619","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=4619, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2353","layer":3},{"info":"number node, value=3923","layer":4},{"info":"number node, value=2779","layer":4},{"info":"compute binary expreesion, left_input=3923, right_input=2779, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2353, 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=2353","layer":2},{"info":"number node, value=1689","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=1286, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1286","layer":3},{"info":"number node, value=6466","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=6466, right_input=1847, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-125431695","layer":3},{"info":"compute binary expreesion, left_input=1286, right_input=-125431695, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-125432981","layer":2},{"info":"compute binary expreesion, left_input=2353, right_input=-125432981, 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=5820871, right_input=67, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=389998357","layer":0}],"base":3,"result_base":3,"text":"((↩⫏≰12100022⨽⫏≰2000200)%⫏≰10010121≧⫂∧⫏≰2211002*⫏≰100100002⨰⫏≰10200110)*(⫏≰10020011⋝⋈⪟⫏≰20100002)⨪↰⇹(⫏≰12101022⫥∨⫟⫏≰10210221)≎⊠⪸(⫏≰2022120↺⫏≰1202122⨳⩥⨓⫏≰22212111⨽⫏≰2112102)=⫏≰1000011211222011121","reverse_text":"⫏≰1000011211222011121=((↩⫏≰12100022⨽⫏≰2000200)%⫏≰10010121≧⫂∧⫏≰2211002*⫏≰100100002⨰⫏≰10200110)*(⫏≰10020011⋝⋈⪟⫏≰20100002)⨪↰⇹(⫏≰12101022⫥∨⫟⫏≰10210221)≎⊠⪸(⫏≰2022120↺⫏≰1202122⨳⩥⨓⫏≰22212111⨽⫏≰2112102)","cot":[{"info":"⫏≰12100022⨽⫏≰2000200=⫏≰-10011200122112110","layer":3},{"info":"↩⫏≰-10011200122112110=⫏≰110200202201201211","layer":2},{"info":"⫏≰10010121≧⫂∧⫏≰2211002=⫏≰2011120","layer":3},{"info":"⫏≰100100002⨰⫏≰10200110=⫏≰12200000","layer":3},{"info":"⫏≰2011120*⫏≰12200000=⫏≰110021211000000","layer":2},{"info":"⫏≰110200202201201211%⫏≰110021211000000=⫏≰101221201201211","layer":1},{"info":"⫏≰10020011⋝⋈⪟⫏≰20100002=⫏≰10020011","layer":3},{"info":"⫏≰12101022⫥∨⫟⫏≰10210221=NaN","layer":3},{"info":"⫏≰10020011⨪↰⇹NaN=⫏≰10020011","layer":2},{"info":"⫏≰2022120↺⫏≰1202122=⫏≰1202122","layer":3},{"info":"⫏≰22212111⨽⫏≰2112102=⫏≰-22202000120221100","layer":3},{"info":"⫏≰1202122⨳⩥⨓⫏≰-22202000120221100=⫏≰-22202000122200222","layer":2},{"info":"⫏≰10020011≎⊠⪸⫏≰-22202000122200222=⫏≰2111","layer":1},{"info":"⫏≰101221201201211*⫏≰2111=⫏≰1000011211222011121","layer":0}]}
{"id":679,"expression_no_base_symbol":"≦∁$3754$≭$5175$+⇶⊼(⨞⊢$4224$)+⇶⊼($3902$↬$1383$⊘)","expression":"≦∁⫏≰12011001≭⫏≰21002200+⇶⊼(⨞⊢⫏≰12210110)+⇶⊼(⫏≰12100112↬⫏≰1220020⊘)","highest_n_order":5,"priority_hierarchical_complexity":5,"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":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3754,"base":3},"right_expr":{"type":"numeric_atoms","value":5175,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4224,"base":3}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3902,"base":3},"right_expr":{"type":"numeric_atoms","value":1383,"base":3}}}}},"used_operators":["9ICcGScMcE","TpPTUOHfaN","rxpJgHHUmx","xUOZtlo3hN","gu96TGCTMs","B5M0gjZbta"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3754","layer":4},{"info":"number node, value=5175","layer":4},{"info":"compute binary expreesion, left_input=3754, right_input=5175, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4224","layer":4},{"info":"compute unary expreesion, input=4224, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4398","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4398, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3902","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=3902, right_input=1383, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"≦∁⫏≰12011001≭⫏≰21002200+⇶⊼(⨞⊢⫏≰12210110)+⇶⊼(⫏≰12100112↬⫏≰1220020⊘)=NaN","reverse_text":"NaN=≦∁⫏≰12011001≭⫏≰21002200+⇶⊼(⨞⊢⫏≰12210110)+⇶⊼(⫏≰12100112↬⫏≰1220020⊘)","cot":[{"info":"⫏≰12011001≭⫏≰21002200=NaN","layer":3},{"info":"⨞⊢⫏≰12210110=⫏≰-20000220","layer":3},{"info":"NaN+⇶⊼⫏≰-20000220=NaN","layer":2},{"info":"⫏≰12100112↬⫏≰1220020=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":680,"expression_no_base_symbol":"⊥(($1186$⊉≛↸$2977$⪨≂(⪲⇎$3600$))∀⇚≩($1916$⨪↰⇹$2776$%$1477$∑⇟⊟$4187$))","expression":"⊥((⫏≰1121221⊉≛↸⫏≰11002021⪨≂(⪲⇎⫏≰11221100))∀⇚≩(⫏≰2121222⨪↰⇹⫏≰10210211%⫏≰2000201∑⇟⊟⫏≰12202002))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":68806,"operation_count":8,"complexity_ratio":8600.75,"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":1186,"base":3},"right_expr":{"type":"numeric_atoms","value":2977,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3600,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1916,"base":3},"right_expr":{"type":"numeric_atoms","value":2776,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1477,"base":3},"right_expr":{"type":"numeric_atoms","value":4187,"base":3}}}}},"used_operators":["Q3PJZHRvZv","LRNGc0VcxI","sdazOOVcIp","DZ8iAZOCBD","XPYlsWDdGa","k8jYdgA6NY","tmPS8pqC7x","U7g4x0WXJJ"],"dependent_operators":["fu6greOZ01","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1186","layer":4},{"info":"number node, value=2977","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=2977, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2372","layer":3},{"info":"number node, value=3600","layer":4},{"info":"compute unary expreesion, input=3600, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7200","layer":3},{"info":"compute binary expreesion, left_input=2372, right_input=7200, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-9554","layer":2},{"info":"number node, value=1916","layer":4},{"info":"number node, value=2776","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=2776, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1916","layer":3},{"info":"number node, value=1477","layer":4},{"info":"number node, value=4187","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=4187, 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=1916, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9554, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊥((⫏≰1121221⊉≛↸⫏≰11002021⪨≂(⪲⇎⫏≰11221100))∀⇚≩(⫏≰2121222⨪↰⇹⫏≰10210211%⫏≰2000201∑⇟⊟⫏≰12202002))=NaN","reverse_text":"NaN=⊥((⫏≰1121221⊉≛↸⫏≰11002021⪨≂(⪲⇎⫏≰11221100))∀⇚≩(⫏≰2121222⨪↰⇹⫏≰10210211%⫏≰2000201∑⇟⊟⫏≰12202002))","cot":[{"info":"⫏≰1121221⊉≛↸⫏≰11002021=⫏≰10020212","layer":3},{"info":"⪲⇎⫏≰11221100=⫏≰100212200","layer":3},{"info":"⫏≰10020212⪨≂⫏≰100212200=⫏≰-111002212","layer":2},{"info":"⫏≰2121222⨪↰⇹⫏≰10210211=⫏≰2121222","layer":3},{"info":"⫏≰2000201∑⇟⊟⫏≰12202002=NaN","layer":3},{"info":"⫏≰2121222%NaN=NaN","layer":2},{"info":"⫏≰-111002212∀⇚≩NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":681,"expression_no_base_symbol":"($3646$⨓$3985$↺$3621$⊴$3730$)⊴($1654$⫥∨⫟$6979$+$6195$∲⫓$1227$)⨰(⊥$8564$⊴$3306$)⇷(⩦⩻⨪(↣≠⋷$4564$))","expression":"(⫏≰12000001⨓⫏≰12110121↺⫏≰11222010⊴⫏≰12010011)⊴(⫏≰2021021⫥∨⫟⫏≰100120111+⫏≰22111110∲⫓⫏≰1200110)⨰(⊥⫏≰102202012⊴⫏≰11112110)⇷(⩦⩻⨪(↣≠⋷⫏≰20021001))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14062,"operation_count":13,"complexity_ratio":1081.6923076923076,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3646,"base":3},"right_expr":{"type":"numeric_atoms","value":3985,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3621,"base":3},"right_expr":{"type":"numeric_atoms","value":3730,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1654,"base":3},"right_expr":{"type":"numeric_atoms","value":6979,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6195,"base":3},"right_expr":{"type":"numeric_atoms","value":1227,"base":3}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8564,"base":3},"right_expr":{"type":"numeric_atoms","value":3306,"base":3}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4564,"base":3}}}}},"used_operators":["eewbuw0ToL","Nsiff2A1zJ","7j4O788W3g","3ViojmjbAp","W4YGzv6Whe","KYD54nUTWz","i8ToyICDmI","mp7IySMOzn","Q3PJZHRvZv","2td37pGCOC","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3646","layer":4},{"info":"number node, value=3985","layer":4},{"info":"compute binary expreesion, left_input=3646, right_input=3985, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3988","layer":3},{"info":"number node, value=3621","layer":4},{"info":"number node, value=3730","layer":4},{"info":"compute binary expreesion, left_input=3621, right_input=3730, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3988, 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=1654","layer":4},{"info":"number node, value=6979","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=6979, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6195","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=6195, right_input=1227, 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 = W4YGzv6Whe binary_op_definition= 'None', 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=8564","layer":4},{"info":"number node, value=3306","layer":4},{"info":"compute binary expreesion, left_input=8564, right_input=3306, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=4564","layer":4},{"info":"compute unary expreesion, input=4564, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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 = 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12000001⨓⫏≰12110121↺⫏≰11222010⊴⫏≰12010011)⊴(⫏≰2021021⫥∨⫟⫏≰100120111+⫏≰22111110∲⫓⫏≰1200110)⨰(⊥⫏≰102202012⊴⫏≰11112110)⇷(⩦⩻⨪(↣≠⋷⫏≰20021001))=NaN","reverse_text":"NaN=(⫏≰12000001⨓⫏≰12110121↺⫏≰11222010⊴⫏≰12010011)⊴(⫏≰2021021⫥∨⫟⫏≰100120111+⫏≰22111110∲⫓⫏≰1200110)⨰(⊥⫏≰102202012⊴⫏≰11112110)⇷(⩦⩻⨪(↣≠⋷⫏≰20021001))","cot":[{"info":"⫏≰12000001⨓⫏≰12110121=⫏≰-12110201","layer":3},{"info":"⫏≰11222010⊴⫏≰12010011=NaN","layer":3},{"info":"⫏≰-12110201↺NaN=NaN","layer":2},{"info":"⫏≰2021021⫥∨⫟⫏≰100120111=NaN","layer":3},{"info":"⫏≰22111110∲⫓⫏≰1200110=⫏≰0","layer":3},{"info":"NaN+⫏≰0=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"⫏≰102202012⊴⫏≰11112110=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"↣≠⋷⫏≰20021001=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":682,"expression_no_base_symbol":"($4410$⨟⋌⩍$6878$)⪮%⊝($1022$⋥≓≎$1101$)+⇶⊼($5916$⫸⊐$3330$⇼⇔∾($4847$⩨$2895$))≎⊠⪸(($2564$⊉≛↸$1478$)≧⫂∧($1750$⫩⊇)⫸⊐((⩦⩻⨪$2550$)≫≃))","expression":"(⫏≰20001100⨟⋌⩍⫏≰100102202)⪮%⊝(⫏≰1101212⋥≓≎⫏≰1111210)+⇶⊼(⫏≰22010010⫸⊐⫏≰11120100⇼⇔∾(⫏≰20122112⩨⫏≰10222020))≎⊠⪸((⫏≰10111222⊉≛↸⫏≰2000202)≧⫂∧(⫏≰2101211⫩⊇)⫸⊐((⩦⩻⨪⫏≰10111110)≫≃))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":97,"operation_count":14,"complexity_ratio":6.928571428571429,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4410,"base":3},"right_expr":{"type":"numeric_atoms","value":6878,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1022,"base":3},"right_expr":{"type":"numeric_atoms","value":1101,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5916,"base":3},"right_expr":{"type":"numeric_atoms","value":3330,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4847,"base":3},"right_expr":{"type":"numeric_atoms","value":2895,"base":3}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2564,"base":3},"right_expr":{"type":"numeric_atoms","value":1478,"base":3}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1750,"base":3}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2550,"base":3}}}}},"used_operators":["bJkvcejdHO","TpPTUOHfaN","IWmyXbctLI","rGHVDoGpnC","Qy55tPpLXF","tifHPKVTfV","mqXw5SEYmG","2DlMacCsIx","Ph9nP6C5qx","DZ8iAZOCBD","BjRHVeLaeN","X99M06cbEe","2td37pGCOC"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4410","layer":4},{"info":"number node, value=6878","layer":4},{"info":"compute binary expreesion, left_input=4410, right_input=6878, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1022","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1101, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1213","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1213, 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=3330","layer":4},{"info":"compute binary expreesion, left_input=5916, right_input=3330, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13195","layer":3},{"info":"number node, value=4847","layer":4},{"info":"number node, value=2895","layer":4},{"info":"compute binary expreesion, left_input=4847, right_input=2895, 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=13195, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-13195","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13195, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2564","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=1478, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5128","layer":3},{"info":"number node, value=1750","layer":4},{"info":"compute unary expreesion, input=1750, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1708","layer":3},{"info":"compute binary expreesion, left_input=5128, right_input=-1708, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6836","layer":2},{"info":"number node, value=2550","layer":4},{"info":"compute unary expreesion, input=2550, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2550","layer":3},{"info":"compute unary expreesion, input=2550, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6501","layer":2},{"info":"compute binary expreesion, left_input=6836, right_input=6501, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=25879","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=25879, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20001100⨟⋌⩍⫏≰100102202)⪮%⊝(⫏≰1101212⋥≓≎⫏≰1111210)+⇶⊼(⫏≰22010010⫸⊐⫏≰11120100⇼⇔∾(⫏≰20122112⩨⫏≰10222020))≎⊠⪸((⫏≰10111222⊉≛↸⫏≰2000202)≧⫂∧(⫏≰2101211⫩⊇)⫸⊐((⩦⩻⨪⫏≰10111110)≫≃))=NaN","reverse_text":"NaN=(⫏≰20001100⨟⋌⩍⫏≰100102202)⪮%⊝(⫏≰1101212⋥≓≎⫏≰1111210)+⇶⊼(⫏≰22010010⫸⊐⫏≰11120100⇼⇔∾(⫏≰20122112⩨⫏≰10222020))≎⊠⪸((⫏≰10111222⊉≛↸⫏≰2000202)≧⫂∧(⫏≰2101211⫩⊇)⫸⊐((⩦⩻⨪⫏≰10111110)≫≃))","cot":[{"info":"⫏≰20001100⨟⋌⩍⫏≰100102202=NaN","layer":3},{"info":"⫏≰1101212⋥≓≎⫏≰1111210=⫏≰1122221","layer":3},{"info":"NaN⪮%⊝⫏≰1122221=NaN","layer":2},{"info":"⫏≰22010010⫸⊐⫏≰11120100=⫏≰200002201","layer":3},{"info":"⫏≰20122112⩨⫏≰10222020=⫏≰0","layer":3},{"info":"⫏≰200002201⇼⇔∾⫏≰0=⫏≰-200002201","layer":2},{"info":"NaN+⇶⊼⫏≰-200002201=NaN","layer":1},{"info":"⫏≰10111222⊉≛↸⫏≰2000202=⫏≰21000221","layer":3},{"info":"⫏≰2101211⫩⊇=⫏≰-2100021","layer":3},{"info":"⫏≰21000221≧⫂∧⫏≰-2100021=⫏≰100101012","layer":2},{"info":"⩦⩻⨪⫏≰10111110=⫏≰10111110","layer":3},{"info":"⫏≰10111110≫≃=⫏≰22220210","layer":2},{"info":"⫏≰100101012⫸⊐⫏≰22220210=⫏≰1022111111","layer":1},{"info":"NaN≎⊠⪸⫏≰1022111111=NaN","layer":0}]}
{"id":683,"expression_no_base_symbol":"(+⊝⨔((∥⊫$2377$)⪨≂$3985$⨎$2783$))∑⇟⊟(($2700$⨟⋌⩍$1341$+⇶⊼$5369$⪢$1187$)≧⫂∧($1256$⨟⋌⩍$4795$⊭↱$2475$⫥∨⫟$1184$))","expression":"(+⊝⨔((∥⊫⫏≰10021001)⪨≂⫏≰12110121⨎⫏≰10211002))∑⇟⊟((⫏≰10201000⨟⋌⩍⫏≰1211200+⇶⊼⫏≰21100212⪢⫏≰1121222)≧⫂∧(⫏≰1201112⨟⋌⩍⫏≰20120121⊭↱⫏≰10101200⫥∨⫟⫏≰1121212))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2291,"operation_count":12,"complexity_ratio":190.91666666666666,"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":2377,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3985,"base":3},"right_expr":{"type":"numeric_atoms","value":2783,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2700,"base":3},"right_expr":{"type":"numeric_atoms","value":1341,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5369,"base":3},"right_expr":{"type":"numeric_atoms","value":1187,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1256,"base":3},"right_expr":{"type":"numeric_atoms","value":4795,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2475,"base":3},"right_expr":{"type":"numeric_atoms","value":1184,"base":3}}}}},"used_operators":["U7g4x0WXJJ","DhbWaqg5eL","sdazOOVcIp","P8v4zCKN1o","rJVOvQCfKK","Ph9nP6C5qx","TpPTUOHfaN","rGHVDoGpnC","dWAJyo7jo9","COABgblf1C","KYD54nUTWz"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","Tcnh7f0tEr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2377","layer":4},{"info":"compute unary expreesion, input=2377, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3245","layer":3},{"info":"number node, value=3985","layer":4},{"info":"number node, value=2783","layer":4},{"info":"compute binary expreesion, left_input=3985, right_input=2783, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2783","layer":3},{"info":"compute binary expreesion, left_input=3245, right_input=2783, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1026","layer":2},{"info":"compute unary expreesion, input=1026, 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=2700","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=2700, right_input=1341, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=5369","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=5369, right_input=1187, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":"number node, value=1256","layer":4},{"info":"number node, value=4795","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=4795, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=2475","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=2475, right_input=1184, 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 = 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(+⊝⨔((∥⊫⫏≰10021001)⪨≂⫏≰12110121⨎⫏≰10211002))∑⇟⊟((⫏≰10201000⨟⋌⩍⫏≰1211200+⇶⊼⫏≰21100212⪢⫏≰1121222)≧⫂∧(⫏≰1201112⨟⋌⩍⫏≰20120121⊭↱⫏≰10101200⫥∨⫟⫏≰1121212))=NaN","reverse_text":"NaN=(+⊝⨔((∥⊫⫏≰10021001)⪨≂⫏≰12110121⨎⫏≰10211002))∑⇟⊟((⫏≰10201000⨟⋌⩍⫏≰1211200+⇶⊼⫏≰21100212⪢⫏≰1121222)≧⫂∧(⫏≰1201112⨟⋌⩍⫏≰20120121⊭↱⫏≰10101200⫥∨⫟⫏≰1121212))","cot":[{"info":"∥⊫⫏≰10021001=⫏≰11110012","layer":3},{"info":"⫏≰12110121⨎⫏≰10211002=⫏≰10211002","layer":3},{"info":"⫏≰11110012⪨≂⫏≰10211002=⫏≰1102000","layer":2},{"info":"+⊝⨔⫏≰1102000=⫏≰2002101","layer":1},{"info":"⫏≰10201000⨟⋌⩍⫏≰1211200=NaN","layer":3},{"info":"⫏≰21100212⪢⫏≰1121222=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"⫏≰1201112⨟⋌⩍⫏≰20120121=NaN","layer":3},{"info":"⫏≰10101200⫥∨⫟⫏≰1121212=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⫏≰2002101∑⇟⊟NaN=NaN","layer":0}]}
{"id":684,"expression_no_base_symbol":"(⨈⫕($2144$⫡⨏$3355$)⨐⩸⫘($5741$⪄$1528$))≧⫂∧((($3565$≣⋋)⪠⩆⊳)↛⩡⫤)","expression":"(⨈⫕(⫏≰2221102⫡⨏⫏≰11121021)⨐⩸⫘(⫏≰21212122⪄⫏≰2002121))≧⫂∧(((⫏≰11220001≣⋋)⪠⩆⊳)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1076,"operation_count":8,"complexity_ratio":134.5,"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":2144,"base":3},"right_expr":{"type":"numeric_atoms","value":3355,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5741,"base":3},"right_expr":{"type":"numeric_atoms","value":1528,"base":3}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3565,"base":3}}}}},"used_operators":["Ph9nP6C5qx","megm06wKyl","fu6greOZ01","QMFrweE19q","SUmda5xLS4","FU0Cs4j7VP","JLbD19bQDL","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫏≰-122112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2144","layer":4},{"info":"number node, value=3355","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=3355, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18213","layer":3},{"info":"number node, value=5741","layer":4},{"info":"number node, value=1528","layer":4},{"info":"compute binary expreesion, left_input=5741, right_input=1528, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-851869","layer":3},{"info":"compute binary expreesion, left_input=18213, right_input=-851869, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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=3565","layer":4},{"info":"compute unary expreesion, input=3565, 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 = 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 = 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":"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":0}],"base":3,"result_base":3,"text":"(⨈⫕(⫏≰2221102⫡⨏⫏≰11121021)⨐⩸⫘(⫏≰21212122⪄⫏≰2002121))≧⫂∧(((⫏≰11220001≣⋋)⪠⩆⊳)↛⩡⫤)=⫏≰-122112","reverse_text":"⫏≰-122112=(⨈⫕(⫏≰2221102⫡⨏⫏≰11121021)⨐⩸⫘(⫏≰21212122⪄⫏≰2002121))≧⫂∧(((⫏≰11220001≣⋋)⪠⩆⊳)↛⩡⫤)","cot":[{"info":"⫏≰2221102⫡⨏⫏≰11121021=⫏≰220222120","layer":3},{"info":"⫏≰21212122⪄⫏≰2002121=⫏≰-1121021112201","layer":3},{"info":"⫏≰220222120⨐⩸⫘⫏≰-1121021112201=NaN","layer":2},{"info":"⨈⫕NaN=⫏≰-210","layer":1},{"info":"⫏≰11220001≣⋋=⫏≰0","layer":3},{"info":"⫏≰0⪠⩆⊳=⫏≰0","layer":2},{"info":"⫏≰0↛⩡⫤=⫏≰0","layer":1},{"info":"⫏≰-210≧⫂∧⫏≰0=⫏≰-122112","layer":0}]}
{"id":685,"expression_no_base_symbol":"($1004$⊴$1072$⨪↰⇹($2265$*$3482$))⪛($1140$⨪↰⇹$1730$⊠≄⫣)⫥∨⫟(⨵≀≌($1530$⇼⇔∾$1355$-$2609$≭$4354$))","expression":"(⫏≰1101012⊴⫏≰1110201⨪↰⇹(⫏≰10002220*⫏≰11202222))⪛(⫏≰1120020⨪↰⇹⫏≰2101002⊠≄⫣)⫥∨⫟(⨵≀≌(⫏≰2002200⇼⇔∾⫏≰1212012-⫏≰10120122≭⫏≰12222021))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4652,"operation_count":11,"complexity_ratio":422.90909090909093,"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":1004,"base":3},"right_expr":{"type":"numeric_atoms","value":1072,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2265,"base":3},"right_expr":{"type":"numeric_atoms","value":3482,"base":3}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1140,"base":3},"right_expr":{"type":"numeric_atoms","value":1730,"base":3}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1530,"base":3},"right_expr":{"type":"numeric_atoms","value":1355,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2609,"base":3},"right_expr":{"type":"numeric_atoms","value":4354,"base":3}}}}},"used_operators":["KYD54nUTWz","uFcxV4UQCh","tmPS8pqC7x","Nsiff2A1zJ","9HNa5Wba9A","DIvbN7qnHd","srAu1WTS94","rysDP5nf3Z","tifHPKVTfV","rxpJgHHUmx"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1072, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2265","layer":4},{"info":"number node, value=3482","layer":4},{"info":"compute binary expreesion, left_input=2265, right_input=3482, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7886730","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7886730, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1140","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=1730, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1140","layer":3},{"info":"compute unary expreesion, input=1140, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1530","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=1355, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-175","layer":3},{"info":"number node, value=2609","layer":4},{"info":"number node, value=4354","layer":4},{"info":"compute binary expreesion, left_input=2609, right_input=4354, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-175, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', 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=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1101012⊴⫏≰1110201⨪↰⇹(⫏≰10002220*⫏≰11202222))⪛(⫏≰1120020⨪↰⇹⫏≰2101002⊠≄⫣)⫥∨⫟(⨵≀≌(⫏≰2002200⇼⇔∾⫏≰1212012-⫏≰10120122≭⫏≰12222021))=NaN","reverse_text":"NaN=(⫏≰1101012⊴⫏≰1110201⨪↰⇹(⫏≰10002220*⫏≰11202222))⪛(⫏≰1120020⨪↰⇹⫏≰2101002⊠≄⫣)⫥∨⫟(⨵≀≌(⫏≰2002200⇼⇔∾⫏≰1212012-⫏≰10120122≭⫏≰12222021))","cot":[{"info":"⫏≰1101012⊴⫏≰1110201=NaN","layer":3},{"info":"⫏≰10002220*⫏≰11202222=⫏≰112211200120010","layer":3},{"info":"NaN⨪↰⇹⫏≰112211200120010=NaN","layer":2},{"info":"⫏≰1120020⨪↰⇹⫏≰2101002=⫏≰1120020","layer":3},{"info":"⫏≰1120020⊠≄⫣=⫏≰0","layer":2},{"info":"NaN⪛⫏≰0=NaN","layer":1},{"info":"⫏≰2002200⇼⇔∾⫏≰1212012=⫏≰-20111","layer":3},{"info":"⫏≰10120122≭⫏≰12222021=NaN","layer":3},{"info":"⫏≰-20111-NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":686,"expression_no_base_symbol":"($1334$⪮%⊝$8395$⊭↱($3147$≣⋋)⨸⪁($2939$⋓$1325$⊦⊿))⪄(($2618$⫸⊐$7863$⪨≂$8539$⪢$1420$)⨸⪁($1358$⨓$2785$⇼⇔∾$5538$⨟⋌⩍$5079$))","expression":"(⫏≰1211102⪮%⊝⫏≰102111221⊭↱(⫏≰11022120≣⋋)⨸⪁(⫏≰11000212⋓⫏≰1211002⊦⊿))⪄((⫏≰10120222⫸⊐⫏≰101210020⪨≂⫏≰102201021⪢⫏≰1221121)⨸⪁(⫏≰1212022⨓⫏≰10211011⇼⇔∾⫏≰21121010⨟⋌⩍⫏≰20222010))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17791,"operation_count":14,"complexity_ratio":1270.7857142857142,"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":1334,"base":3},"right_expr":{"type":"numeric_atoms","value":8395,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3147,"base":3}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2939,"base":3},"right_expr":{"type":"numeric_atoms","value":1325,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2618,"base":3},"right_expr":{"type":"numeric_atoms","value":7863,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8539,"base":3},"right_expr":{"type":"numeric_atoms","value":1420,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1358,"base":3},"right_expr":{"type":"numeric_atoms","value":2785,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5538,"base":3},"right_expr":{"type":"numeric_atoms","value":5079,"base":3}}}}},"used_operators":["SUmda5xLS4","g55IO6H4Gj","COABgblf1C","IWmyXbctLI","Tcnh7f0tEr","14qkJME0vr","T2fj7uvVaJ","sdazOOVcIp","mqXw5SEYmG","dWAJyo7jo9","tifHPKVTfV","3ViojmjbAp","rGHVDoGpnC"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tcnh7f0tEr"],"result":"⫏≰12110101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1334","layer":4},{"info":"number node, value=8395","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=8395, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2984","layer":3},{"info":"number node, value=3147","layer":4},{"info":"compute unary expreesion, input=3147, 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=2984, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5963","layer":2},{"info":"number node, value=2939","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=2939, right_input=1325, op_id = T2fj7uvVaJ 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":2},{"info":"compute binary expreesion, left_input=-5963, right_input=-79, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-12084","layer":1},{"info":"number node, value=2618","layer":4},{"info":"number node, value=7863","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=7863, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=31327","layer":3},{"info":"number node, value=8539","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=8539, right_input=1420, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=31327, 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=1358","layer":4},{"info":"number node, value=2785","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=2785, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2788","layer":3},{"info":"number node, value=5538","layer":4},{"info":"number node, value=5079","layer":4},{"info":"compute binary expreesion, left_input=5538, right_input=5079, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-2788, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-12084, 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":3,"result_base":3,"text":"(⫏≰1211102⪮%⊝⫏≰102111221⊭↱(⫏≰11022120≣⋋)⨸⪁(⫏≰11000212⋓⫏≰1211002⊦⊿))⪄((⫏≰10120222⫸⊐⫏≰101210020⪨≂⫏≰102201021⪢⫏≰1221121)⨸⪁(⫏≰1212022⨓⫏≰10211011⇼⇔∾⫏≰21121010⨟⋌⩍⫏≰20222010))=⫏≰12110101","reverse_text":"⫏≰12110101=(⫏≰1211102⪮%⊝⫏≰102111221⊭↱(⫏≰11022120≣⋋)⨸⪁(⫏≰11000212⋓⫏≰1211002⊦⊿))⪄((⫏≰10120222⫸⊐⫏≰101210020⪨≂⫏≰102201021⪢⫏≰1221121)⨸⪁(⫏≰1212022⨓⫏≰10211011⇼⇔∾⫏≰21121010⨟⋌⩍⫏≰20222010))","cot":[{"info":"⫏≰1211102⪮%⊝⫏≰102111221=⫏≰11002112","layer":3},{"info":"⫏≰11022120≣⋋=⫏≰0","layer":3},{"info":"⫏≰11002112⊭↱⫏≰0=⫏≰-22011212","layer":2},{"info":"⫏≰11000212⋓⫏≰1211002=⫏≰0","layer":3},{"info":"⫏≰0⊦⊿=⫏≰-2221","layer":2},{"info":"⫏≰-22011212⨸⪁⫏≰-2221=⫏≰-121120120","layer":1},{"info":"⫏≰10120222⫸⊐⫏≰101210020=⫏≰1120222021","layer":3},{"info":"⫏≰102201021⪢⫏≰1221121=NaN","layer":3},{"info":"⫏≰1120222021⪨≂NaN=NaN","layer":2},{"info":"⫏≰1212022⨓⫏≰10211011=⫏≰-10211021","layer":3},{"info":"⫏≰21121010⨟⋌⩍⫏≰20222010=NaN","layer":3},{"info":"⫏≰-10211021⇼⇔∾NaN=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⫏≰-121120120⪄NaN=⫏≰12110101","layer":0}]}
{"id":687,"expression_no_base_symbol":"(((⫛⫱⨽$1258$)⨸⪁($1698$⊭↱$3371$))⊠≄⫣)⪮%⊝(($1192$⨐⩸⫘$1956$-$1347$-$1462$)↛⩡⫤)","expression":"(((⫛⫱⨽⫏≰1201121)⨸⪁(⫏≰2022220⊭↱⫏≰11121212))⊠≄⫣)⪮%⊝((⫏≰1122011⨐⩸⫘⫏≰2200110-⫏≰1211220-⫏≰2000011)↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1509,"operation_count":9,"complexity_ratio":167.66666666666666,"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":1258,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1698,"base":3},"right_expr":{"type":"numeric_atoms","value":3371,"base":3}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1192,"base":3},"right_expr":{"type":"numeric_atoms","value":1956,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1347,"base":3},"right_expr":{"type":"numeric_atoms","value":1462,"base":3}}}}},"used_operators":["IWmyXbctLI","DIvbN7qnHd","g55IO6H4Gj","DlLNRPXxWL","COABgblf1C","FU0Cs4j7VP","rysDP5nf3Z","fu6greOZ01"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1258","layer":4},{"info":"compute unary expreesion, input=1258, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1698","layer":4},{"info":"number node, value=3371","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=3371, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3351","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3351, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6702","layer":2},{"info":"compute unary expreesion, input=6702, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1192","layer":4},{"info":"number node, value=1956","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=1956, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1347","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1462, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-115","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-115, op_id = rysDP5nf3Z binary_op_definition= 'None', 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫛⫱⨽⫏≰1201121)⨸⪁(⫏≰2022220⊭↱⫏≰11121212))⊠≄⫣)⪮%⊝((⫏≰1122011⨐⩸⫘⫏≰2200110-⫏≰1211220-⫏≰2000011)↛⩡⫤)=NaN","reverse_text":"NaN=(((⫛⫱⨽⫏≰1201121)⨸⪁(⫏≰2022220⊭↱⫏≰11121212))⊠≄⫣)⪮%⊝((⫏≰1122011⨐⩸⫘⫏≰2200110-⫏≰1211220-⫏≰2000011)↛⩡⫤)","cot":[{"info":"⫛⫱⨽⫏≰1201121=⫏≰0","layer":3},{"info":"⫏≰2022220⊭↱⫏≰11121212=⫏≰11121010","layer":3},{"info":"⫏≰0⨸⪁⫏≰11121010=⫏≰100012020","layer":2},{"info":"⫏≰100012020⊠≄⫣=⫏≰0","layer":1},{"info":"⫏≰1122011⨐⩸⫘⫏≰2200110=NaN","layer":3},{"info":"⫏≰1211220-⫏≰2000011=⫏≰-11021","layer":3},{"info":"NaN-⫏≰-11021=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"⫏≰0⪮%⊝NaN=NaN","layer":0}]}
{"id":688,"expression_no_base_symbol":"(↯⪼(($1450$⋥≓≎$2274$)⊪))≫≃","expression":"(↯⪼((⫏≰1222201⋥≓≎⫏≰10010020)⊪))≫≃","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":75,"operation_count":4,"complexity_ratio":18.75,"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":1450,"base":3},"right_expr":{"type":"numeric_atoms","value":2274,"base":3}}}}},"used_operators":["X99M06cbEe","8jW3W4yZS5","zVYPLywUTj","Qy55tPpLXF"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰1212100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1450","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=2274, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3131","layer":3},{"info":"compute unary expreesion, input=3131, 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 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":"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":0}],"base":3,"result_base":3,"text":"(↯⪼((⫏≰1222201⋥≓≎⫏≰10010020)⊪))≫≃=⫏≰1212100","reverse_text":"⫏≰1212100=(↯⪼((⫏≰1222201⋥≓≎⫏≰10010020)⊪))≫≃","cot":[{"info":"⫏≰1222201⋥≓≎⫏≰10010020=⫏≰11021222","layer":3},{"info":"⫏≰11021222⊪=⫏≰0","layer":2},{"info":"↯⪼⫏≰0=⫏≰-210","layer":1},{"info":"⫏≰-210≫≃=⫏≰1212100","layer":0}]}
{"id":689,"expression_no_base_symbol":"(($4334$⋓$3065$⨵⪆($1869$⨁⊸⫻))⊭∹↮)↺(($4004$-$1961$)⨽($1485$-$2631$)+(($1000$⫸⊐$1241$)⩠))","expression":"((⫏≰12221112⋓⫏≰11012112⨵⪆(⫏≰2120020⨁⊸⫻))⊭∹↮)↺((⫏≰12111022-⫏≰2200122)⨽(⫏≰2001000-⫏≰10121110)+((⫏≰1101001⫸⊐⫏≰1200222)⩠))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2115,"operation_count":11,"complexity_ratio":192.27272727272728,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4334,"base":3},"right_expr":{"type":"numeric_atoms","value":3065,"base":3}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1869,"base":3}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4004,"base":3},"right_expr":{"type":"numeric_atoms","value":1961,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1485,"base":3},"right_expr":{"type":"numeric_atoms","value":2631,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1000,"base":3},"right_expr":{"type":"numeric_atoms","value":1241,"base":3}}}}},"used_operators":["7j4O788W3g","xNBdhnnwKq","2DQ55sFlQl","T2fj7uvVaJ","glklzrTFfD","W4YGzv6Whe","8HhzD0ZcuI","rysDP5nf3Z","sJAwomhLZr","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫏≰-212112220211000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4334","layer":4},{"info":"number node, value=3065","layer":4},{"info":"compute binary expreesion, left_input=4334, right_input=3065, op_id = T2fj7uvVaJ 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=1869","layer":4},{"info":"compute unary expreesion, input=1869, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1869","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1869, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=160","layer":1},{"info":"number node, value=4004","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=4004, right_input=1961, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2043","layer":3},{"info":"number node, value=1485","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=2631, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1146","layer":3},{"info":"compute binary expreesion, left_input=2043, right_input=-1146, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12516795","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1241, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4839","layer":3},{"info":"compute unary expreesion, input=4839, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-12516795, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-12516795","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-12516795, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-12516795","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12221112⋓⫏≰11012112⨵⪆(⫏≰2120020⨁⊸⫻))⊭∹↮)↺((⫏≰12111022-⫏≰2200122)⨽(⫏≰2001000-⫏≰10121110)+((⫏≰1101001⫸⊐⫏≰1200222)⩠))=⫏≰-212112220211000","reverse_text":"⫏≰-212112220211000=((⫏≰12221112⋓⫏≰11012112⨵⪆(⫏≰2120020⨁⊸⫻))⊭∹↮)↺((⫏≰12111022-⫏≰2200122)⨽(⫏≰2001000-⫏≰10121110)+((⫏≰1101001⫸⊐⫏≰1200222)⩠))","cot":[{"info":"⫏≰12221112⋓⫏≰11012112=⫏≰0","layer":3},{"info":"⫏≰2120020⨁⊸⫻=⫏≰2120020","layer":3},{"info":"⫏≰0⨵⪆⫏≰2120020=⫏≰12221","layer":2},{"info":"⫏≰12221⊭∹↮=⫏≰12221","layer":1},{"info":"⫏≰12111022-⫏≰2200122=⫏≰2210200","layer":3},{"info":"⫏≰2001000-⫏≰10121110=⫏≰-1120110","layer":3},{"info":"⫏≰2210200⨽⫏≰-1120110=⫏≰-212112220211000","layer":2},{"info":"⫏≰1101001⫸⊐⫏≰1200222=⫏≰20122020","layer":3},{"info":"⫏≰20122020⩠=⫏≰0","layer":2},{"info":"⫏≰-212112220211000+⫏≰0=⫏≰-212112220211000","layer":1},{"info":"⫏≰12221↺⫏≰-212112220211000=⫏≰-212112220211000","layer":0}]}
{"id":690,"expression_no_base_symbol":"⪲⇎($1464$∑⇟⊟$6611$+⇶⊼$3156$⪛$1794$)≧⫂∧$1273$≹⇙⪍$1363$⨟⋌⩍($2028$↬$2351$)","expression":"⪲⇎(⫏≰2000020∑⇟⊟⫏≰100001212+⇶⊼⫏≰11022220⪛⫏≰2110110)≧⫂∧⫏≰1202011≹⇙⪍⫏≰1212111⨟⋌⩍(⫏≰2210010↬⫏≰10020002)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12,"operation_count":8,"complexity_ratio":1.5,"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":1464,"base":3},"right_expr":{"type":"numeric_atoms","value":6611,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3156,"base":3},"right_expr":{"type":"numeric_atoms","value":1794,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1273,"base":3},"right_expr":{"type":"numeric_atoms","value":1363,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2028,"base":3},"right_expr":{"type":"numeric_atoms","value":2351,"base":3}}}}},"used_operators":["XPYlsWDdGa","Ph9nP6C5qx","TpPTUOHfaN","U7g4x0WXJJ","uFcxV4UQCh","rGHVDoGpnC","AHs5Up7iyr","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Tcnh7f0tEr","dWAJyo7jo9","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1464","layer":4},{"info":"number node, value=6611","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=6611, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3156","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=3156, right_input=1794, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1362","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1362, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1273","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=1363, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2028","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=2351, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , 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":3,"result_base":3,"text":"⪲⇎(⫏≰2000020∑⇟⊟⫏≰100001212+⇶⊼⫏≰11022220⪛⫏≰2110110)≧⫂∧⫏≰1202011≹⇙⪍⫏≰1212111⨟⋌⩍(⫏≰2210010↬⫏≰10020002)=NaN","reverse_text":"NaN=⪲⇎(⫏≰2000020∑⇟⊟⫏≰100001212+⇶⊼⫏≰11022220⪛⫏≰2110110)≧⫂∧⫏≰1202011≹⇙⪍⫏≰1212111⨟⋌⩍(⫏≰2210010↬⫏≰10020002)","cot":[{"info":"⫏≰2000020∑⇟⊟⫏≰100001212=NaN","layer":3},{"info":"⫏≰11022220⪛⫏≰2110110=⫏≰1212110","layer":3},{"info":"NaN+⇶⊼⫏≰1212110=NaN","layer":2},{"info":"⫏≰1202011≹⇙⪍⫏≰1212111=NaN","layer":3},{"info":"⫏≰2210010↬⫏≰10020002=NaN","layer":3},{"info":"NaN⨟⋌⩍NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":691,"expression_no_base_symbol":"(($3322$∼$1241$⇋≉)⊉≛↸($3414$⨐⩸⫘$5005$)≧⫂∧($4736$⋷$2441$))⊘","expression":"((⫏≰11120001∼⫏≰1200222⇋≉)⊉≛↸(⫏≰11200110⨐⩸⫘⫏≰20212101)≧⫂∧(⫏≰20111102⋷⫏≰10100102))⊘","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":98,"operation_count":7,"complexity_ratio":14.0,"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":3322,"base":3},"right_expr":{"type":"numeric_atoms","value":1241,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3414,"base":3},"right_expr":{"type":"numeric_atoms","value":5005,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4736,"base":3},"right_expr":{"type":"numeric_atoms","value":2441,"base":3}}}}},"used_operators":["gu96TGCTMs","DZ8iAZOCBD","XIabStNQrY","DyGG3AbaNP","Ph9nP6C5qx","fu6greOZ01","23Mk6UjR3U"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3322","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=3322, right_input=1241, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"number node, value=3414","layer":4},{"info":"number node, value=5005","layer":4},{"info":"compute binary expreesion, left_input=3414, right_input=5005, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4736","layer":4},{"info":"number node, value=2441","layer":4},{"info":"compute binary expreesion, left_input=4736, right_input=2441, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=146","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=146, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-327","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-327, 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 = 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":3,"result_base":3,"text":"((⫏≰11120001∼⫏≰1200222⇋≉)⊉≛↸(⫏≰11200110⨐⩸⫘⫏≰20212101)≧⫂∧(⫏≰20111102⋷⫏≰10100102))⊘=NaN","reverse_text":"NaN=((⫏≰11120001∼⫏≰1200222⇋≉)⊉≛↸(⫏≰11200110⨐⩸⫘⫏≰20212101)≧⫂∧(⫏≰20111102⋷⫏≰10100102))⊘","cot":[{"info":"⫏≰11120001∼⫏≰1200222=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"⫏≰11200110⨐⩸⫘⫏≰20212101=NaN","layer":3},{"info":"⫏≰20111102⋷⫏≰10100102=⫏≰12102","layer":3},{"info":"NaN≧⫂∧⫏≰12102=⫏≰-110010","layer":2},{"info":"NaN⊉≛↸⫏≰-110010=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":692,"expression_no_base_symbol":"(($3054$/$2520$)⋝⋈⪟($2792$⨰$2746$))≹⇙⪍(($1246$∼$1671$)⪢($4320$⊉≛↸$4387$))⨎((⨰⫟⨤$2242$)⨟⋌⩍(⊥$1657$)⋷(⨈⫕$2654$)⨎($1122$⨽$2802$))","expression":"((⫏≰11012010/⫏≰10110100)⋝⋈⪟(⫏≰10211102⨰⫏≰10202201))≹⇙⪍((⫏≰1201011∼⫏≰2021220)⪢(⫏≰12221000⊉≛↸⫏≰20000111))⨎((⨰⫟⨤⫏≰10002001)⨟⋌⩍(⊥⫏≰2021101)⋷(⨈⫕⫏≰10122022)⨎(⫏≰1112120⨽⫏≰10211210))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18330,"operation_count":15,"complexity_ratio":1222.0,"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":3054,"base":3},"right_expr":{"type":"numeric_atoms","value":2520,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2792,"base":3},"right_expr":{"type":"numeric_atoms","value":2746,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1246,"base":3},"right_expr":{"type":"numeric_atoms","value":1671,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4320,"base":3},"right_expr":{"type":"numeric_atoms","value":4387,"base":3}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2242,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1657,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2654,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1122,"base":3},"right_expr":{"type":"numeric_atoms","value":2802,"base":3}}}}},"used_operators":["rJVOvQCfKK","AHs5Up7iyr","2DDjHMKMc0","XhwjNDsVaA","eewbuw0ToL","dWAJyo7jo9","DyGG3AbaNP","DZ8iAZOCBD","23Mk6UjR3U","rGHVDoGpnC","Tw270M8GLb","Q3PJZHRvZv","megm06wKyl","8HhzD0ZcuI"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","fu6greOZ01","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3054","layer":4},{"info":"number node, value=2520","layer":4},{"info":"compute binary expreesion, left_input=3054, right_input=2520, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2792","layer":4},{"info":"number node, value=2746","layer":4},{"info":"compute binary expreesion, left_input=2792, right_input=2746, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=56","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=56, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1","layer":2},{"info":"number node, value=1246","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=1671, 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=4320","layer":4},{"info":"number node, value=4387","layer":4},{"info":"compute binary expreesion, left_input=4320, right_input=4387, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8640","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8640, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1, 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=2242","layer":4},{"info":"compute unary expreesion, input=2242, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1657","layer":4},{"info":"compute unary expreesion, input=1657, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=2654","layer":4},{"info":"compute unary expreesion, input=2654, 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=1122","layer":4},{"info":"number node, value=2802","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=2802, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3783744","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-3783744, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3783744","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3783744, 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 = 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":3,"result_base":3,"text":"((⫏≰11012010/⫏≰10110100)⋝⋈⪟(⫏≰10211102⨰⫏≰10202201))≹⇙⪍((⫏≰1201011∼⫏≰2021220)⪢(⫏≰12221000⊉≛↸⫏≰20000111))⨎((⨰⫟⨤⫏≰10002001)⨟⋌⩍(⊥⫏≰2021101)⋷(⨈⫕⫏≰10122022)⨎(⫏≰1112120⨽⫏≰10211210))=NaN","reverse_text":"NaN=((⫏≰11012010/⫏≰10110100)⋝⋈⪟(⫏≰10211102⨰⫏≰10202201))≹⇙⪍((⫏≰1201011∼⫏≰2021220)⪢(⫏≰12221000⊉≛↸⫏≰20000111))⨎((⨰⫟⨤⫏≰10002001)⨟⋌⩍(⊥⫏≰2021101)⋷(⨈⫕⫏≰10122022)⨎(⫏≰1112120⨽⫏≰10211210))","cot":[{"info":"⫏≰11012010/⫏≰10110100=⫏≰1","layer":3},{"info":"⫏≰10211102⨰⫏≰10202201=⫏≰2002","layer":3},{"info":"⫏≰1⋝⋈⪟⫏≰2002=⫏≰1","layer":2},{"info":"⫏≰1201011∼⫏≰2021220=NaN","layer":3},{"info":"⫏≰12221000⊉≛↸⫏≰20000111=⫏≰102212000","layer":3},{"info":"NaN⪢⫏≰102212000=NaN","layer":2},{"info":"⫏≰1≹⇙⪍NaN=NaN","layer":1},{"info":"⨰⫟⨤⫏≰10002001=NaN","layer":3},{"info":"⊥⫏≰2021101=NaN","layer":3},{"info":"NaN⨟⋌⩍NaN=NaN","layer":2},{"info":"⨈⫕⫏≰10122022=⫏≰-210","layer":3},{"info":"⫏≰1112120⨽⫏≰10211210=⫏≰-21010020022200","layer":3},{"info":"⫏≰-210⨎⫏≰-21010020022200=⫏≰-21010020022200","layer":2},{"info":"NaN⋷⫏≰-21010020022200=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":693,"expression_no_base_symbol":"(($1293$⪛$2632$⫌⩹⨱)⩨((⊥$7007$)∧))⨎((⨑⩽⪐$5768$)⨐⩸⫘$1964$⩷∴$1213$)⩷∴((⨞⊢$5404$)⪨≂$1102$⨎$2579$)","expression":"((⫏≰1202220⪛⫏≰10121111⫌⩹⨱)⩨((⊥⫏≰100121112)∧))⨎((⨑⩽⪐⫏≰21220122)⨐⩸⫘⫏≰2200202⩷∴⫏≰1122221)⩷∴((⨞⊢⫏≰21102011)⪨≂⫏≰1111211⨎⫏≰10112112)","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":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1293,"base":3},"right_expr":{"type":"numeric_atoms","value":2632,"base":3}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7007,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5768,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1964,"base":3},"right_expr":{"type":"numeric_atoms","value":1213,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5404,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1102,"base":3},"right_expr":{"type":"numeric_atoms","value":2579,"base":3}}}}},"used_operators":["rJVOvQCfKK","2DlMacCsIx","EBcxylXtPf","uFcxV4UQCh","z63VuFQld9","Q3PJZHRvZv","9FxExcQeMw","fu6greOZ01","AF7qkfDlqP","sdazOOVcIp","xUOZtlo3hN"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","fu6greOZ01","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1293","layer":4},{"info":"number node, value=2632","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=2632, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1293","layer":3},{"info":"compute unary expreesion, input=1293, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3987","layer":2},{"info":"number node, value=7007","layer":4},{"info":"compute unary expreesion, input=7007, op_id = Q3PJZHRvZv, unary_op_definition = '⊥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=3987, 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=5768","layer":4},{"info":"compute unary expreesion, input=5768, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5495","layer":3},{"info":"number node, value=1964","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=1213, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1470","layer":3},{"info":"compute binary expreesion, left_input=-5495, right_input=1470, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5404","layer":4},{"info":"compute unary expreesion, input=5404, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5578","layer":3},{"info":"number node, value=1102","layer":4},{"info":"number node, value=2579","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=2579, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2579","layer":3},{"info":"compute binary expreesion, left_input=-5578, right_input=2579, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-16212","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16212, 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 = 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":3,"result_base":3,"text":"((⫏≰1202220⪛⫏≰10121111⫌⩹⨱)⩨((⊥⫏≰100121112)∧))⨎((⨑⩽⪐⫏≰21220122)⨐⩸⫘⫏≰2200202⩷∴⫏≰1122221)⩷∴((⨞⊢⫏≰21102011)⪨≂⫏≰1111211⨎⫏≰10112112)=NaN","reverse_text":"NaN=((⫏≰1202220⪛⫏≰10121111⫌⩹⨱)⩨((⊥⫏≰100121112)∧))⨎((⨑⩽⪐⫏≰21220122)⨐⩸⫘⫏≰2200202⩷∴⫏≰1122221)⩷∴((⨞⊢⫏≰21102011)⪨≂⫏≰1111211⨎⫏≰10112112)","cot":[{"info":"⫏≰1202220⪛⫏≰10121111=⫏≰1202220","layer":3},{"info":"⫏≰1202220⫌⩹⨱=⫏≰12110200","layer":2},{"info":"⊥⫏≰100121112=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⫏≰12110200⩨NaN=NaN","layer":1},{"info":"⨑⩽⪐⫏≰21220122=⫏≰-21112112","layer":3},{"info":"⫏≰2200202⩷∴⫏≰1122221=⫏≰2000110","layer":3},{"info":"⫏≰-21112112⨐⩸⫘⫏≰2000110=NaN","layer":2},{"info":"⨞⊢⫏≰21102011=⫏≰-21122121","layer":3},{"info":"⫏≰1111211⨎⫏≰10112112=⫏≰10112112","layer":3},{"info":"⫏≰-21122121⪨≂⫏≰10112112=⫏≰-211020110","layer":2},{"info":"NaN⩷∴⫏≰-211020110=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":694,"expression_no_base_symbol":"(⫛⫱⨽($6220$⨽$1917$*$1123$⋓$1351$))⨳⩥⨓($6358$∼$4903$⨳⩥⨓($2643$⊭∹↮)↙(($1963$∲⫓$1141$)*(↣≠⋷$1160$)))","expression":"(⫛⫱⨽(⫏≰22112101⨽⫏≰2122000*⫏≰1112121⋓⫏≰1212001))⨳⩥⨓(⫏≰22201111∼⫏≰20201121⨳⩥⨓(⫏≰10121220⊭∹↮)↙((⫏≰2200201∲⫓⫏≰1120021)*(↣≠⋷⫏≰1120222)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7300,"operation_count":12,"complexity_ratio":608.3333333333334,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6220,"base":3},"right_expr":{"type":"numeric_atoms","value":1917,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1123,"base":3},"right_expr":{"type":"numeric_atoms","value":1351,"base":3}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6358,"base":3},"right_expr":{"type":"numeric_atoms","value":4903,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2643,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1963,"base":3},"right_expr":{"type":"numeric_atoms","value":1141,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1160,"base":3}}}}},"used_operators":["nCS4ZIUYfx","DlLNRPXxWL","9HNa5Wba9A","8HhzD0ZcuI","T2fj7uvVaJ","yyfyN0ffXY","DyGG3AbaNP","xNBdhnnwKq","i8ToyICDmI","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6220","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=6220, right_input=1917, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-116069637","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1351, op_id = T2fj7uvVaJ 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=-116069637, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=6358","layer":4},{"info":"number node, value=4903","layer":4},{"info":"compute binary expreesion, left_input=6358, right_input=4903, 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=2643","layer":4},{"info":"compute unary expreesion, input=2643, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5286","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5286, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1963","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1963, right_input=1141, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1160","layer":4},{"info":"compute unary expreesion, input=1160, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫛⫱⨽(⫏≰22112101⨽⫏≰2122000*⫏≰1112121⋓⫏≰1212001))⨳⩥⨓(⫏≰22201111∼⫏≰20201121⨳⩥⨓(⫏≰10121220⊭∹↮)↙((⫏≰2200201∲⫓⫏≰1120021)*(↣≠⋷⫏≰1120222)))=NaN","reverse_text":"NaN=(⫛⫱⨽(⫏≰22112101⨽⫏≰2122000*⫏≰1112121⋓⫏≰1212001))⨳⩥⨓(⫏≰22201111∼⫏≰20201121⨳⩥⨓(⫏≰10121220⊭∹↮)↙((⫏≰2200201∲⫓⫏≰1120021)*(↣≠⋷⫏≰1120222)))","cot":[{"info":"⫏≰22112101⨽⫏≰2122000=⫏≰-22002101221121110","layer":3},{"info":"⫏≰1112121⋓⫏≰1212001=⫏≰0","layer":3},{"info":"⫏≰-22002101221121110*⫏≰0=⫏≰0","layer":2},{"info":"⫛⫱⨽⫏≰0=⫏≰0","layer":1},{"info":"⫏≰22201111∼⫏≰20201121=NaN","layer":3},{"info":"⫏≰10121220⊭∹↮=⫏≰21020210","layer":3},{"info":"NaN⨳⩥⨓⫏≰21020210=NaN","layer":2},{"info":"⫏≰2200201∲⫓⫏≰1120021=⫏≰0","layer":3},{"info":"↣≠⋷⫏≰1120222=NaN","layer":3},{"info":"⫏≰0*NaN=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⫏≰0⨳⩥⨓NaN=NaN","layer":0}]}
{"id":695,"expression_no_base_symbol":"($4698$⩚⊴⇥$8832$)⨰($1642$/$3258$)⩚⊴⇥(↩$2807$)⩷∴($3587$⨐⩸⫘$8194$)⋥≓≎(⋗⩬⋾$1136$⩷∴$3053$≭$7504$∼$1024$)","expression":"(⫏≰20110000⩚⊴⇥⫏≰110010010)⨰(⫏≰2020211/⫏≰11110200)⩚⊴⇥(↩⫏≰10211222)⩷∴(⫏≰11220212⨐⩸⫘⫏≰102020111)⋥≓≎(⋗⩬⋾⫏≰1120002⩷∴⫏≰11012002≭⫏≰101021221∼⫏≰1101221)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":197,"operation_count":12,"complexity_ratio":16.416666666666668,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4698,"base":3},"right_expr":{"type":"numeric_atoms","value":8832,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1642,"base":3},"right_expr":{"type":"numeric_atoms","value":3258,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2807,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3587,"base":3},"right_expr":{"type":"numeric_atoms","value":8194,"base":3}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1136,"base":3},"right_expr":{"type":"numeric_atoms","value":3053,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7504,"base":3},"right_expr":{"type":"numeric_atoms","value":1024,"base":3}}}}},"used_operators":["Qy55tPpLXF","NTOWxs364D","eewbuw0ToL","XhwjNDsVaA","9FxExcQeMw","jLgFTUHLKL","fu6greOZ01","DpFCA1CohY","rxpJgHHUmx","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4698","layer":4},{"info":"number node, value=8832","layer":4},{"info":"compute binary expreesion, left_input=4698, right_input=8832, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13651","layer":3},{"info":"number node, value=1642","layer":4},{"info":"number node, value=3258","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=3258, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-13651, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-13641","layer":2},{"info":"number node, value=2807","layer":4},{"info":"compute unary expreesion, input=2807, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-19676","layer":3},{"info":"number node, value=3587","layer":4},{"info":"number node, value=8194","layer":4},{"info":"compute binary expreesion, left_input=3587, right_input=8194, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-19676, 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=-13641, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1136","layer":4},{"info":"number node, value=3053","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=3053, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3866","layer":3},{"info":"number node, value=7504","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=7504, right_input=1024, 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=-3866, 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 = 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20110000⩚⊴⇥⫏≰110010010)⨰(⫏≰2020211/⫏≰11110200)⩚⊴⇥(↩⫏≰10211222)⩷∴(⫏≰11220212⨐⩸⫘⫏≰102020111)⋥≓≎(⋗⩬⋾⫏≰1120002⩷∴⫏≰11012002≭⫏≰101021221∼⫏≰1101221)=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰20110000⩚⊴⇥⫏≰110010010)⨰(⫏≰2020211/⫏≰11110200)⩚⊴⇥(↩⫏≰10211222)⩷∴(⫏≰11220212⨐⩸⫘⫏≰102020111)⋥≓≎(⋗⩬⋾⫏≰1120002⩷∴⫏≰11012002≭⫏≰101021221∼⫏≰1101221)","cot":[{"info":"⫏≰20110000⩚⊴⇥⫏≰110010010=⫏≰-200201121","layer":3},{"info":"⫏≰2020211/⫏≰11110200=⫏≰0","layer":3},{"info":"⫏≰-200201121⨰⫏≰0=⫏≰-200201020","layer":2},{"info":"↩⫏≰10211222=⫏≰-222222202","layer":3},{"info":"⫏≰11220212⨐⩸⫘⫏≰102020111=NaN","layer":3},{"info":"⫏≰-222222202⩷∴NaN=NaN","layer":2},{"info":"⫏≰-200201020⩚⊴⇥NaN=NaN","layer":1},{"info":"⫏≰1120002⩷∴⫏≰11012002=⫏≰-12022012","layer":3},{"info":"⫏≰101021221∼⫏≰1101221=NaN","layer":3},{"info":"⫏≰-12022012≭NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫏≰2111","layer":0}]}
{"id":696,"expression_no_base_symbol":"((($3443$⋥≓≎$3768$)⊪)≎⊠⪸($2372$⋓$3020$)∀⇚≩($4495$⨵⪆$5809$))⨟⋌⩍(($3971$⨎$1726$⋥≓≎$3289$⩷∴$7346$)∀⇚≩($2569$*$4304$*$4622$∑⇟⊟$5115$))","expression":"(((⫏≰11201112⋥≓≎⫏≰12011120)⊪)≎⊠⪸(⫏≰10020212⋓⫏≰11010212)∀⇚≩(⫏≰20011111⨵⪆⫏≰21222011))⨟⋌⩍((⫏≰12110002⨎⫏≰2100221⋥≓≎⫏≰11111211⩷∴⫏≰101002002)∀⇚≩(⫏≰10112011*⫏≰12220102*⫏≰20100012∑⇟⊟⫏≰21000110))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":128542,"operation_count":14,"complexity_ratio":9181.57142857143,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3443,"base":3},"right_expr":{"type":"numeric_atoms","value":3768,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2372,"base":3},"right_expr":{"type":"numeric_atoms","value":3020,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4495,"base":3},"right_expr":{"type":"numeric_atoms","value":5809,"base":3}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3971,"base":3},"right_expr":{"type":"numeric_atoms","value":1726,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3289,"base":3},"right_expr":{"type":"numeric_atoms","value":7346,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2569,"base":3},"right_expr":{"type":"numeric_atoms","value":4304,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4622,"base":3},"right_expr":{"type":"numeric_atoms","value":5115,"base":3}}}}},"used_operators":["rGHVDoGpnC","bJkvcejdHO","zVYPLywUTj","Qy55tPpLXF","LRNGc0VcxI","T2fj7uvVaJ","2DQ55sFlQl","rJVOvQCfKK","9FxExcQeMw","9HNa5Wba9A","U7g4x0WXJJ"],"dependent_operators":["Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3443","layer":4},{"info":"number node, value=3768","layer":4},{"info":"compute binary expreesion, left_input=3443, right_input=3768, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4126","layer":3},{"info":"compute unary expreesion, input=4126, 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=2372","layer":4},{"info":"number node, value=3020","layer":4},{"info":"compute binary expreesion, left_input=2372, right_input=3020, op_id = T2fj7uvVaJ 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=4495","layer":4},{"info":"number node, value=5809","layer":4},{"info":"compute binary expreesion, left_input=4495, 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=0, 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=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":1},{"info":"number node, value=3971","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=3971, right_input=1726, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1726","layer":3},{"info":"number node, value=3289","layer":4},{"info":"number node, value=7346","layer":4},{"info":"compute binary expreesion, left_input=3289, right_input=7346, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8146","layer":3},{"info":"compute binary expreesion, left_input=1726, right_input=-8146, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-17985","layer":2},{"info":"number node, value=2569","layer":4},{"info":"number node, value=4304","layer":4},{"info":"compute binary expreesion, left_input=2569, right_input=4304, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11056976","layer":3},{"info":"number node, value=4622","layer":4},{"info":"number node, value=5115","layer":4},{"info":"compute binary expreesion, left_input=4622, right_input=5115, 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=11056976, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-17985, 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=-473, 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":3,"result_base":3,"text":"(((⫏≰11201112⋥≓≎⫏≰12011120)⊪)≎⊠⪸(⫏≰10020212⋓⫏≰11010212)∀⇚≩(⫏≰20011111⨵⪆⫏≰21222011))⨟⋌⩍((⫏≰12110002⨎⫏≰2100221⋥≓≎⫏≰11111211⩷∴⫏≰101002002)∀⇚≩(⫏≰10112011*⫏≰12220102*⫏≰20100012∑⇟⊟⫏≰21000110))=NaN","reverse_text":"NaN=(((⫏≰11201112⋥≓≎⫏≰12011120)⊪)≎⊠⪸(⫏≰10020212⋓⫏≰11010212)∀⇚≩(⫏≰20011111⨵⪆⫏≰21222011))⨟⋌⩍((⫏≰12110002⨎⫏≰2100221⋥≓≎⫏≰11111211⩷∴⫏≰101002002)∀⇚≩(⫏≰10112011*⫏≰12220102*⫏≰20100012∑⇟⊟⫏≰21000110))","cot":[{"info":"⫏≰11201112⋥≓≎⫏≰12011120=⫏≰12122211","layer":3},{"info":"⫏≰12122211⊪=⫏≰0","layer":2},{"info":"⫏≰10020212⋓⫏≰11010212=⫏≰0","layer":3},{"info":"⫏≰20011111⨵⪆⫏≰21222011=⫏≰12221","layer":3},{"info":"⫏≰0∀⇚≩⫏≰12221=⫏≰12221","layer":2},{"info":"⫏≰0≎⊠⪸⫏≰12221=⫏≰-122112","layer":1},{"info":"⫏≰12110002⨎⫏≰2100221=⫏≰2100221","layer":3},{"info":"⫏≰11111211⩷∴⫏≰101002002=⫏≰-102011201","layer":3},{"info":"⫏≰2100221⋥≓≎⫏≰-102011201=⫏≰-220200010","layer":2},{"info":"⫏≰10112011*⫏≰12220102=⫏≰202210202022122","layer":3},{"info":"⫏≰20100012∑⇟⊟⫏≰21000110=NaN","layer":3},{"info":"⫏≰202210202022122*NaN=NaN","layer":2},{"info":"⫏≰-220200010∀⇚≩NaN=NaN","layer":1},{"info":"⫏≰-122112⨟⋌⩍NaN=NaN","layer":0}]}
{"id":697,"expression_no_base_symbol":"⨰⫟⨤(⩦⩻⨪(↔($3193$⨵⪆$5751$)))","expression":"⨰⫟⨤(⩦⩻⨪(↔(⫏≰11101021⨵⪆⫏≰21220000)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":903,"operation_count":4,"complexity_ratio":225.75,"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":3193,"base":3},"right_expr":{"type":"numeric_atoms","value":5751,"base":3}}}}},"used_operators":["Tw270M8GLb","2td37pGCOC","ruOEQAzv1W","2DQ55sFlQl"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3193","layer":4},{"info":"number node, value=5751","layer":4},{"info":"compute binary expreesion, left_input=3193, right_input=5751, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤(⩦⩻⨪(↔(⫏≰11101021⨵⪆⫏≰21220000)))=NaN","reverse_text":"NaN=⨰⫟⨤(⩦⩻⨪(↔(⫏≰11101021⨵⪆⫏≰21220000)))","cot":[{"info":"⫏≰11101021⨵⪆⫏≰21220000=⫏≰12221","layer":3},{"info":"↔⫏≰12221=⫏≰11012","layer":2},{"info":"⩦⩻⨪⫏≰11012=⫏≰11012","layer":1},{"info":"⨰⫟⨤⫏≰11012=NaN","layer":0}]}
{"id":698,"expression_no_base_symbol":"⊄⩳↩(($3268$⊪)⪛($1047$∑⇟⊟$4605$)⊭↱((⨈⫕$1629$)≣⋋))","expression":"⊄⩳↩((⫏≰11111001⊪)⪛(⫏≰1102210∑⇟⊟⫏≰20022120)⊭↱((⨈⫕⫏≰2020100)≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":457,"operation_count":7,"complexity_ratio":65.28571428571429,"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":3268,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1047,"base":3},"right_expr":{"type":"numeric_atoms","value":4605,"base":3}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1629,"base":3}}}}},"used_operators":["8w2t5hMYqp","COABgblf1C","uFcxV4UQCh","zVYPLywUTj","U7g4x0WXJJ","Tcnh7f0tEr","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3268","layer":4},{"info":"compute unary expreesion, input=3268, 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=1047","layer":4},{"info":"number node, value=4605","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=4605, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=1629","layer":4},{"info":"compute unary expreesion, input=1629, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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":3,"result_base":3,"text":"⊄⩳↩((⫏≰11111001⊪)⪛(⫏≰1102210∑⇟⊟⫏≰20022120)⊭↱((⨈⫕⫏≰2020100)≣⋋))=NaN","reverse_text":"NaN=⊄⩳↩((⫏≰11111001⊪)⪛(⫏≰1102210∑⇟⊟⫏≰20022120)⊭↱((⨈⫕⫏≰2020100)≣⋋))","cot":[{"info":"⫏≰11111001⊪=⫏≰0","layer":3},{"info":"⫏≰1102210∑⇟⊟⫏≰20022120=NaN","layer":3},{"info":"⫏≰0⪛NaN=NaN","layer":2},{"info":"⨈⫕⫏≰2020100=⫏≰-210","layer":3},{"info":"⫏≰-210≣⋋=⫏≰0","layer":2},{"info":"NaN⊭↱⫏≰0=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":699,"expression_no_base_symbol":"((($4512$⪨≂$4199$)-$3166$-$4762$)⨐⩸⫘(($3146$≋⫹)/$4100$↙$4608$))∸","expression":"(((⫏≰20012010⪨≂⫏≰12202112)-⫏≰11100021-⫏≰20112101)⨐⩸⫘((⫏≰11022112≋⫹)/⫏≰12121212↙⫏≰20022200))∸","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4800,"operation_count":8,"complexity_ratio":600.0,"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":4512,"base":3},"right_expr":{"type":"numeric_atoms","value":4199,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3166,"base":3},"right_expr":{"type":"numeric_atoms","value":4762,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3146,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4100,"base":3},"right_expr":{"type":"numeric_atoms","value":4608,"base":3}}}}},"used_operators":["o20kRiQErp","fu6greOZ01","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","N41Kp7NANJ","yyfyN0ffXY"],"dependent_operators":["tmPS8pqC7x","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4512","layer":4},{"info":"number node, value=4199","layer":4},{"info":"compute binary expreesion, left_input=4512, right_input=4199, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=728","layer":3},{"info":"number node, value=3166","layer":4},{"info":"number node, value=4762","layer":4},{"info":"compute binary expreesion, left_input=3166, right_input=4762, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1596","layer":3},{"info":"compute binary expreesion, left_input=728, right_input=-1596, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2324","layer":2},{"info":"number node, value=3146","layer":4},{"info":"compute unary expreesion, input=3146, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6292","layer":3},{"info":"number node, value=4100","layer":4},{"info":"number node, value=4608","layer":4},{"info":"compute binary expreesion, left_input=4100, right_input=4608, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13824","layer":3},{"info":"compute binary expreesion, left_input=-6292, right_input=-13824, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=2324, 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=2324","layer":1},{"info":"compute unary expreesion, input=2324, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰20012010⪨≂⫏≰12202112)-⫏≰11100021-⫏≰20112101)⨐⩸⫘((⫏≰11022112≋⫹)/⫏≰12121212↙⫏≰20022200))∸=⫏≰20120","reverse_text":"⫏≰20120=(((⫏≰20012010⪨≂⫏≰12202112)-⫏≰11100021-⫏≰20112101)⨐⩸⫘((⫏≰11022112≋⫹)/⫏≰12121212↙⫏≰20022200))∸","cot":[{"info":"⫏≰20012010⪨≂⫏≰12202112=⫏≰222222","layer":3},{"info":"⫏≰11100021-⫏≰20112101=⫏≰-2012010","layer":3},{"info":"⫏≰222222-⫏≰-2012010=⫏≰10012002","layer":2},{"info":"⫏≰11022112≋⫹=⫏≰-22122001","layer":3},{"info":"⫏≰12121212↙⫏≰20022200=⫏≰-200222000","layer":3},{"info":"⫏≰-22122001/⫏≰-200222000=⫏≰0","layer":2},{"info":"⫏≰10012002⨐⩸⫘⫏≰0=⫏≰10012002","layer":1},{"info":"⫏≰10012002∸=⫏≰20120","layer":0}]}
{"id":700,"expression_no_base_symbol":"(($1975$∑⇟⊟$1882$*($1360$⊉≛↸$1950$))⨎($4921$⪒$2076$)≹⇙⪍(⨞⊢$7417$))⋝⋈⪟(↯⪼(⪝⪂⫅($1347$≎⊠⪸$3149$)))","expression":"((⫏≰2201011∑⇟⊟⫏≰2120201*(⫏≰1212101⊉≛↸⫏≰2200020))⨎(⫏≰20202021⪒⫏≰2211220)≹⇙⪍(⨞⊢⫏≰101011201))⋝⋈⪟(↯⪼(⪝⪂⫅(⫏≰1211220≎⊠⪸⫏≰11022122)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":447,"operation_count":11,"complexity_ratio":40.63636363636363,"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":1975,"base":3},"right_expr":{"type":"numeric_atoms","value":1882,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1360,"base":3},"right_expr":{"type":"numeric_atoms","value":1950,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4921,"base":3},"right_expr":{"type":"numeric_atoms","value":2076,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":7417,"base":3}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1347,"base":3},"right_expr":{"type":"numeric_atoms","value":3149,"base":3}}}}},"used_operators":["2DDjHMKMc0","rJVOvQCfKK","9HNa5Wba9A","U7g4x0WXJJ","DZ8iAZOCBD","AHs5Up7iyr","f6k1SAg4EE","xUOZtlo3hN","8jW3W4yZS5","XTarYq4gQB","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1975","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=1975, right_input=1882, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1360","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=1950, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2720","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2720, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4921","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=4921, right_input=2076, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6997","layer":3},{"info":"number node, value=7417","layer":4},{"info":"compute unary expreesion, input=7417, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7591","layer":3},{"info":"compute binary expreesion, left_input=-6997, right_input=-7591, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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=1347","layer":4},{"info":"number node, value=3149","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=3149, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=348400","layer":3},{"info":"compute unary expreesion, input=348400, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-51214800","layer":2},{"info":"compute unary expreesion, input=-51214800, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=102428683","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=102428683, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2201011∑⇟⊟⫏≰2120201*(⫏≰1212101⊉≛↸⫏≰2200020))⨎(⫏≰20202021⪒⫏≰2211220)≹⇙⪍(⨞⊢⫏≰101011201))⋝⋈⪟(↯⪼(⪝⪂⫅(⫏≰1211220≎⊠⪸⫏≰11022122)))=NaN","reverse_text":"NaN=((⫏≰2201011∑⇟⊟⫏≰2120201*(⫏≰1212101⊉≛↸⫏≰2200020))⨎(⫏≰20202021⪒⫏≰2211220)≹⇙⪍(⨞⊢⫏≰101011201))⋝⋈⪟(↯⪼(⪝⪂⫅(⫏≰1211220≎⊠⪸⫏≰11022122)))","cot":[{"info":"⫏≰2201011∑⇟⊟⫏≰2120201=NaN","layer":3},{"info":"⫏≰1212101⊉≛↸⫏≰2200020=⫏≰10201202","layer":3},{"info":"NaN*⫏≰10201202=NaN","layer":2},{"info":"⫏≰20202021⪒⫏≰2211220=⫏≰-100121011","layer":3},{"info":"⨞⊢⫏≰101011201=⫏≰-101102011","layer":3},{"info":"⫏≰-100121011≹⇙⪍⫏≰-101102011=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⫏≰1211220≎⊠⪸⫏≰11022122=⫏≰122200220201","layer":3},{"info":"⪝⪂⫅⫏≰122200220201=⫏≰-10120100222111110","layer":2},{"info":"↯⪼⫏≰-10120100222111110=⫏≰21010201220201221","layer":1},{"info":"NaN⋝⋈⪟⫏≰21010201220201221=NaN","layer":0}]}
{"id":701,"expression_no_base_symbol":"(($1730$⩚⊴⇥$3593$)⩠)⇷($3133$-$5268$/($6681$⋷$2230$))%(($1638$⨵⪆$2550$)⫥∨⫟(↩$5791$))∼(⨞⊢$3134$⋳⪒$6104$)","expression":"((⫏≰2101002⩚⊴⇥⫏≰11221002)⩠)⇷(⫏≰11022001-⫏≰21020010/(⫏≰100011110⋷⫏≰10001121))%((⫏≰2020200⨵⪆⫏≰10111110)⫥∨⫟(↩⫏≰21221111))∼(⨞⊢⫏≰11022002⋳⪒⫏≰22101002)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":308227,"operation_count":13,"complexity_ratio":23709.76923076923,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1730,"base":3},"right_expr":{"type":"numeric_atoms","value":3593,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3133,"base":3},"right_expr":{"type":"numeric_atoms","value":5268,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6681,"base":3},"right_expr":{"type":"numeric_atoms","value":2230,"base":3}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1638,"base":3},"right_expr":{"type":"numeric_atoms","value":2550,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5791,"base":3}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3134,"base":3},"right_expr":{"type":"numeric_atoms","value":6104,"base":3}}}}},"used_operators":["k8jYdgA6NY","mp7IySMOzn","sJAwomhLZr","NTOWxs364D","XhwjNDsVaA","rysDP5nf3Z","23Mk6UjR3U","DyGG3AbaNP","KYD54nUTWz","2DQ55sFlQl","jLgFTUHLKL","xUOZtlo3hN","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1730","layer":4},{"info":"number node, value=3593","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=3593, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5444","layer":3},{"info":"compute unary expreesion, input=-5444, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=21985","layer":2},{"info":"number node, value=3133","layer":4},{"info":"number node, value=5268","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=5268, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2135","layer":3},{"info":"number node, value=6681","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=6681, right_input=2230, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2221","layer":3},{"info":"compute binary expreesion, left_input=-2135, right_input=-2221, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=21985, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"number node, value=1638","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=1638, right_input=2550, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5791","layer":4},{"info":"compute unary expreesion, input=5791, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-43548","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-43548, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3134","layer":4},{"info":"number node, value=6104","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=6104, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-123","layer":3},{"info":"compute unary expreesion, input=-123, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-51","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-51, 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=0, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2101002⩚⊴⇥⫏≰11221002)⩠)⇷(⫏≰11022001-⫏≰21020010/(⫏≰100011110⋷⫏≰10001121))%((⫏≰2020200⨵⪆⫏≰10111110)⫥∨⫟(↩⫏≰21221111))∼(⨞⊢⫏≰11022002⋳⪒⫏≰22101002)=NaN","reverse_text":"NaN=((⫏≰2101002⩚⊴⇥⫏≰11221002)⩠)⇷(⫏≰11022001-⫏≰21020010/(⫏≰100011110⋷⫏≰10001121))%((⫏≰2020200⨵⪆⫏≰10111110)⫥∨⫟(↩⫏≰21221111))∼(⨞⊢⫏≰11022002⋳⪒⫏≰22101002)","cot":[{"info":"⫏≰2101002⩚⊴⇥⫏≰11221002=⫏≰-21110122","layer":3},{"info":"⫏≰-21110122⩠=⫏≰1010011021","layer":2},{"info":"⫏≰11022001-⫏≰21020010=⫏≰-2221002","layer":3},{"info":"⫏≰100011110⋷⫏≰10001121=⫏≰-10001021","layer":3},{"info":"⫏≰-2221002/⫏≰-10001021=⫏≰0","layer":2},{"info":"⫏≰1010011021⇷⫏≰0=⫏≰0","layer":1},{"info":"⫏≰2020200⨵⪆⫏≰10111110=⫏≰12221","layer":3},{"info":"↩⫏≰21221111=⫏≰-2012201220","layer":3},{"info":"⫏≰12221⫥∨⫟⫏≰-2012201220=NaN","layer":2},{"info":"⫏≰11022002⋳⪒⫏≰22101002=⫏≰-11120","layer":3},{"info":"⨞⊢⫏≰-11120=⫏≰-1220","layer":2},{"info":"NaN∼⫏≰-1220=⫏≰0","layer":1},{"info":"⫏≰0%⫏≰0=NaN","layer":0}]}
{"id":702,"expression_no_base_symbol":"(($1499$⨁⊸⫻)⨸⪁$1909$⨰$4495$/(⊄⩳↩$5109$)⋥≓≎$3333$⨪↰⇹$2688$)⫌⩹⨱","expression":"((⫏≰2001112⨁⊸⫻)⨸⪁⫏≰2121201⨰⫏≰20011111/(⊄⩳↩⫏≰21000020)⋥≓≎⫏≰11120110⨪↰⇹⫏≰10200120)⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3387,"operation_count":8,"complexity_ratio":423.375,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1499,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1909,"base":3},"right_expr":{"type":"numeric_atoms","value":4495,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5109,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3333,"base":3},"right_expr":{"type":"numeric_atoms","value":2688,"base":3}}}}},"used_operators":["EBcxylXtPf","XhwjNDsVaA","g55IO6H4Gj","glklzrTFfD","eewbuw0ToL","Qy55tPpLXF","8w2t5hMYqp","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"⫏≰1211110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1499","layer":4},{"info":"compute unary expreesion, input=1499, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1499","layer":3},{"info":"number node, value=1909","layer":4},{"info":"number node, value=4495","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=4495, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2576","layer":3},{"info":"compute binary expreesion, left_input=1499, right_input=-2576, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2154","layer":2},{"info":"number node, value=5109","layer":4},{"info":"compute unary expreesion, input=5109, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-15327","layer":3},{"info":"number node, value=3333","layer":4},{"info":"number node, value=2688","layer":4},{"info":"compute binary expreesion, left_input=3333, right_input=2688, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3333","layer":3},{"info":"compute binary expreesion, left_input=-15327, right_input=3333, 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=-2154, right_input=67, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-33","layer":1},{"info":"compute unary expreesion, input=-33, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1335","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2001112⨁⊸⫻)⨸⪁⫏≰2121201⨰⫏≰20011111/(⊄⩳↩⫏≰21000020)⋥≓≎⫏≰11120110⨪↰⇹⫏≰10200120)⫌⩹⨱=⫏≰1211110","reverse_text":"⫏≰1211110=((⫏≰2001112⨁⊸⫻)⨸⪁⫏≰2121201⨰⫏≰20011111/(⊄⩳↩⫏≰21000020)⋥≓≎⫏≰11120110⨪↰⇹⫏≰10200120)⫌⩹⨱","cot":[{"info":"⫏≰2001112⨁⊸⫻=⫏≰2001112","layer":3},{"info":"⫏≰2121201⨰⫏≰20011111=⫏≰-10112102","layer":3},{"info":"⫏≰2001112⨸⪁⫏≰-10112102=⫏≰-2221210","layer":2},{"info":"⊄⩳↩⫏≰21000020=⫏≰-210000200","layer":3},{"info":"⫏≰11120110⨪↰⇹⫏≰10200120=⫏≰11120110","layer":3},{"info":"⫏≰-210000200⋥≓≎⫏≰11120110=⫏≰2111","layer":2},{"info":"⫏≰-2221210/⫏≰2111=⫏≰-1020","layer":1},{"info":"⫏≰-1020⫌⩹⨱=⫏≰1211110","layer":0}]}
{"id":703,"expression_no_base_symbol":"(⨈⫕($3970$≎⊠⪸$1418$)⋓($2275$⨵⪆$5622$))↪⪝","expression":"(⨈⫕(⫏≰12110001≎⊠⪸⫏≰1221112)⋓(⫏≰10010021⨵⪆⫏≰21201020))↪⪝","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":797,"operation_count":5,"complexity_ratio":159.4,"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":3970,"base":3},"right_expr":{"type":"numeric_atoms","value":1418,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2275,"base":3},"right_expr":{"type":"numeric_atoms","value":5622,"base":3}}}}},"used_operators":["l07mrZUIn9","megm06wKyl","T2fj7uvVaJ","bJkvcejdHO","2DQ55sFlQl"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-2102021110000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3970","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=3970, right_input=1418, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1027757","layer":3},{"info":"number node, value=2275","layer":4},{"info":"number node, value=5622","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=5622, 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=1027757, 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":"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 unary expreesion, input=-21, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-1284822","layer":0}],"base":3,"result_base":3,"text":"(⨈⫕(⫏≰12110001≎⊠⪸⫏≰1221112)⋓(⫏≰10010021⨵⪆⫏≰21201020))↪⪝=⫏≰-2102021110000","reverse_text":"⫏≰-2102021110000=(⨈⫕(⫏≰12110001≎⊠⪸⫏≰1221112)⋓(⫏≰10010021⨵⪆⫏≰21201020))↪⪝","cot":[{"info":"⫏≰12110001≎⊠⪸⫏≰1221112=⫏≰1221012211002","layer":3},{"info":"⫏≰10010021⨵⪆⫏≰21201020=⫏≰12221","layer":3},{"info":"⫏≰1221012211002⋓⫏≰12221=⫏≰0","layer":2},{"info":"⨈⫕⫏≰0=⫏≰-210","layer":1},{"info":"⫏≰-210↪⪝=⫏≰-2102021110000","layer":0}]}
{"id":704,"expression_no_base_symbol":"(($6767$⋝⋈⪟$7319$⨸⪁$5802$⪢$1996$)↬((⨞⊢$2217$)⫌⩹⨱))⪢(↔(⇁⨣⪵(≤/$4054$)))","expression":"((⫏≰100021122⋝⋈⪟⫏≰101001002⨸⪁⫏≰21221220⪢⫏≰2201221)↬((⨞⊢⫏≰10001010)⫌⩹⨱))⪢(↔(⇁⨣⪵(≤/⫏≰12120011)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3852,"operation_count":10,"complexity_ratio":385.2,"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":6767,"base":3},"right_expr":{"type":"numeric_atoms","value":7319,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5802,"base":3},"right_expr":{"type":"numeric_atoms","value":1996,"base":3}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2217,"base":3}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4054,"base":3}}}}},"used_operators":["dWAJyo7jo9","B5M0gjZbta","g55IO6H4Gj","2DDjHMKMc0","EBcxylXtPf","xUOZtlo3hN","ruOEQAzv1W","inkyxCbjAn","eLAdDNolq6"],"dependent_operators":["k8jYdgA6NY","rGHVDoGpnC","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","B5M0gjZbta","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6767","layer":4},{"info":"number node, value=7319","layer":4},{"info":"compute binary expreesion, left_input=6767, right_input=7319, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6767","layer":3},{"info":"number node, value=5802","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=5802, right_input=1996, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=6767, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=2217","layer":4},{"info":"compute unary expreesion, input=2217, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2391","layer":3},{"info":"compute unary expreesion, input=-2391, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-3381","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3381, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4054","layer":4},{"info":"compute unary expreesion, input=4054, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3570","layer":3},{"info":"compute unary expreesion, input=-3570, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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":"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":0}],"base":3,"result_base":3,"text":"((⫏≰100021122⋝⋈⪟⫏≰101001002⨸⪁⫏≰21221220⪢⫏≰2201221)↬((⨞⊢⫏≰10001010)⫌⩹⨱))⪢(↔(⇁⨣⪵(≤/⫏≰12120011)))=NaN","reverse_text":"NaN=((⫏≰100021122⋝⋈⪟⫏≰101001002⨸⪁⫏≰21221220⪢⫏≰2201221)↬((⨞⊢⫏≰10001010)⫌⩹⨱))⪢(↔(⇁⨣⪵(≤/⫏≰12120011)))","cot":[{"info":"⫏≰100021122⋝⋈⪟⫏≰101001002=⫏≰100021122","layer":3},{"info":"⫏≰21221220⪢⫏≰2201221=NaN","layer":3},{"info":"⫏≰100021122⨸⪁NaN=NaN","layer":2},{"info":"⨞⊢⫏≰10001010=⫏≰-10021120","layer":3},{"info":"⫏≰-10021120⫌⩹⨱=⫏≰-11122020","layer":2},{"info":"NaN↬⫏≰-11122020=NaN","layer":1},{"info":"≤/⫏≰12120011=⫏≰-11220020","layer":3},{"info":"⇁⨣⪵⫏≰-11220020=NaN","layer":2},{"info":"↔NaN=⫏≰-11222","layer":1},{"info":"NaN⪢⫏≰-11222=NaN","layer":0}]}
{"id":705,"expression_no_base_symbol":"⪝⪂⫅(($1594$+$3414$)⪘⫢($4400$⊭↱$1180$))↬(⇁⨣⪵$6237$⇷$2552$)","expression":"⪝⪂⫅((⫏≰2012001+⫏≰11200110)⪘⫢(⫏≰20000222⊭↱⫏≰1121201))↬(⇁⨣⪵⫏≰22120000⇷⫏≰10111112)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":87346,"operation_count":7,"complexity_ratio":12478.0,"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":1594,"base":3},"right_expr":{"type":"numeric_atoms","value":3414,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4400,"base":3},"right_expr":{"type":"numeric_atoms","value":1180,"base":3}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6237,"base":3},"right_expr":{"type":"numeric_atoms","value":2552,"base":3}}}}},"used_operators":["XTarYq4gQB","B5M0gjZbta","oacrs7FA3X","W4YGzv6Whe","COABgblf1C","inkyxCbjAn","mp7IySMOzn"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1594","layer":4},{"info":"number node, value=3414","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=3414, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5008","layer":3},{"info":"number node, value=4400","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=4400, right_input=1180, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6435","layer":3},{"info":"compute binary expreesion, left_input=5008, right_input=-6435, 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=6237","layer":4},{"info":"number node, value=2552","layer":4},{"info":"compute binary expreesion, left_input=6237, right_input=2552, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5104","layer":3},{"info":"compute unary expreesion, input=5104, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪝⪂⫅((⫏≰2012001+⫏≰11200110)⪘⫢(⫏≰20000222⊭↱⫏≰1121201))↬(⇁⨣⪵⫏≰22120000⇷⫏≰10111112)=NaN","reverse_text":"NaN=⪝⪂⫅((⫏≰2012001+⫏≰11200110)⪘⫢(⫏≰20000222⊭↱⫏≰1121201))↬(⇁⨣⪵⫏≰22120000⇷⫏≰10111112)","cot":[{"info":"⫏≰2012001+⫏≰11200110=⫏≰20212111","layer":3},{"info":"⫏≰20000222⊭↱⫏≰1121201=⫏≰-22211100","layer":3},{"info":"⫏≰20212111⪘⫢⫏≰-22211100=⫏≰0","layer":2},{"info":"⫏≰22120000⇷⫏≰10111112=⫏≰21000001","layer":3},{"info":"⇁⨣⪵⫏≰21000001=NaN","layer":2},{"info":"⫏≰0↬NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":706,"expression_no_base_symbol":"(($1748$≎⊠⪸$1103$)∼($4964$∼$1872$)⋳⪒($4682$⪛$1690$-($2864$⊪)))⋓(↯⪼($4657$∲⫓$1757$)⊴(-$2520$))","expression":"((⫏≰2101202≎⊠⪸⫏≰1111212)∼(⫏≰20210212∼⫏≰2120100)⋳⪒(⫏≰20102102⪛⫏≰2022121-(⫏≰10221002⊪)))⋓(↯⪼(⫏≰20101111∲⫓⫏≰2102002)⊴(-⫏≰10110100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11857,"operation_count":12,"complexity_ratio":988.0833333333334,"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":1748,"base":3},"right_expr":{"type":"numeric_atoms","value":1103,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4964,"base":3},"right_expr":{"type":"numeric_atoms","value":1872,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4682,"base":3},"right_expr":{"type":"numeric_atoms","value":1690,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2864,"base":3}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4657,"base":3},"right_expr":{"type":"numeric_atoms","value":1757,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2520,"base":3}}}}},"used_operators":["T2fj7uvVaJ","12rbrZMWeM","DyGG3AbaNP","bJkvcejdHO","rysDP5nf3Z","uFcxV4UQCh","zVYPLywUTj","8jW3W4yZS5","Nsiff2A1zJ","i8ToyICDmI","t8gj7n24qd"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1748","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=1103, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=452259","layer":3},{"info":"number node, value=4964","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=4964, right_input=1872, 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=452259, 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=4682","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=4682, right_input=1690, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1302","layer":3},{"info":"number node, value=2864","layer":4},{"info":"compute unary expreesion, input=2864, 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=1302, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1302","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1302, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=4657","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=4657, right_input=1757, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2520","layer":4},{"info":"compute unary expreesion, input=2520, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2520","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2520, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴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":"compute binary expreesion, left_input=nan, right_input=-21, op_id = T2fj7uvVaJ 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":3,"result_base":3,"text":"((⫏≰2101202≎⊠⪸⫏≰1111212)∼(⫏≰20210212∼⫏≰2120100)⋳⪒(⫏≰20102102⪛⫏≰2022121-(⫏≰10221002⊪)))⋓(↯⪼(⫏≰20101111∲⫓⫏≰2102002)⊴(-⫏≰10110100))=⫏≰0","reverse_text":"⫏≰0=((⫏≰2101202≎⊠⪸⫏≰1111212)∼(⫏≰20210212∼⫏≰2120100)⋳⪒(⫏≰20102102⪛⫏≰2022121-(⫏≰10221002⊪)))⋓(↯⪼(⫏≰20101111∲⫓⫏≰2102002)⊴(-⫏≰10110100))","cot":[{"info":"⫏≰2101202≎⊠⪸⫏≰1111212=⫏≰211222101100","layer":3},{"info":"⫏≰20210212∼⫏≰2120100=NaN","layer":3},{"info":"⫏≰211222101100∼NaN=NaN","layer":2},{"info":"⫏≰20102102⪛⫏≰2022121=⫏≰1210020","layer":3},{"info":"⫏≰10221002⊪=⫏≰0","layer":3},{"info":"⫏≰1210020-⫏≰0=⫏≰1210020","layer":2},{"info":"NaN⋳⪒⫏≰1210020=NaN","layer":1},{"info":"⫏≰20101111∲⫓⫏≰2102002=⫏≰0","layer":3},{"info":"-⫏≰10110100=⫏≰-10110100","layer":3},{"info":"⫏≰0⊴⫏≰-10110100=NaN","layer":2},{"info":"↯⪼NaN=⫏≰-210","layer":1},{"info":"NaN⋓⫏≰-210=⫏≰0","layer":0}]}
{"id":707,"expression_no_base_symbol":"(($3755$≭$3291$⨵⪆(⊙↵-$1621$))↙$2405$⋝⋈⪟$2359$⩷∴($7056$⩚⊴⇥$1867$))≫≃","expression":"((⫏≰12011002≭⫏≰11111220⨵⪆(⊙↵-⫏≰2020001))↙⫏≰10022002⋝⋈⪟⫏≰10020101⩷∴(⫏≰100200100⩚⊴⇥⫏≰2120011))≫≃","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":24557,"operation_count":8,"complexity_ratio":3069.625,"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":3755,"base":3},"right_expr":{"type":"numeric_atoms","value":3291,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1621,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2405,"base":3},"right_expr":{"type":"numeric_atoms","value":2359,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7056,"base":3},"right_expr":{"type":"numeric_atoms","value":1867,"base":3}}}}},"used_operators":["X99M06cbEe","yyfyN0ffXY","2DQ55sFlQl","rxpJgHHUmx","oWn0xqSxBt","9FxExcQeMw","2DDjHMKMc0","NTOWxs364D"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫏≰-20220021110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3755","layer":4},{"info":"number node, value=3291","layer":4},{"info":"compute binary expreesion, left_input=3755, right_input=3291, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1621","layer":4},{"info":"compute unary expreesion, input=1621, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2405","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=2359, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2405","layer":3},{"info":"number node, value=7056","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=7056, right_input=1867, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9044","layer":3},{"info":"compute binary expreesion, left_input=2405, right_input=-9044, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=22866","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=22866, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-68598","layer":1},{"info":"compute unary expreesion, input=-68598, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-135795","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12011002≭⫏≰11111220⨵⪆(⊙↵-⫏≰2020001))↙⫏≰10022002⋝⋈⪟⫏≰10020101⩷∴(⫏≰100200100⩚⊴⇥⫏≰2120011))≫≃=⫏≰-20220021110","reverse_text":"⫏≰-20220021110=((⫏≰12011002≭⫏≰11111220⨵⪆(⊙↵-⫏≰2020001))↙⫏≰10022002⋝⋈⪟⫏≰10020101⩷∴(⫏≰100200100⩚⊴⇥⫏≰2120011))≫≃","cot":[{"info":"⫏≰12011002≭⫏≰11111220=NaN","layer":3},{"info":"⊙↵-⫏≰2020001=⫏≰-1","layer":3},{"info":"NaN⨵⪆⫏≰-1=⫏≰12221","layer":2},{"info":"⫏≰10022002⋝⋈⪟⫏≰10020101=⫏≰10022002","layer":3},{"info":"⫏≰100200100⩚⊴⇥⫏≰2120011=⫏≰-110101222","layer":3},{"info":"⫏≰10022002⩷∴⫏≰-110101222=⫏≰1011100220","layer":2},{"info":"⫏≰12221↙⫏≰1011100220=⫏≰-10111002200","layer":1},{"info":"⫏≰-10111002200≫≃=⫏≰-20220021110","layer":0}]}
{"id":708,"expression_no_base_symbol":"(($1805$-$3308$)⩤)⋓(($1331$/$2797$)⨰($1045$⨰$4181$))⋳⪒(($7235$⨽$3576$)⪠⩆⊳)⩷∴($3297$∼$1988$-$1228$≭$1059$)","expression":"((⫏≰2110212-⫏≰11112112)⩤)⋓((⫏≰1211022/⫏≰10211121)⨰(⫏≰1102201⨰⫏≰12201212))⋳⪒((⫏≰100220222⨽⫏≰11220110)⪠⩆⊳)⩷∴(⫏≰11112010∼⫏≰2201122-⫏≰1200111≭⫏≰1110020)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7359,"operation_count":13,"complexity_ratio":566.0769230769231,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1805,"base":3},"right_expr":{"type":"numeric_atoms","value":3308,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1331,"base":3},"right_expr":{"type":"numeric_atoms","value":2797,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1045,"base":3},"right_expr":{"type":"numeric_atoms","value":4181,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7235,"base":3},"right_expr":{"type":"numeric_atoms","value":3576,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3297,"base":3},"right_expr":{"type":"numeric_atoms","value":1988,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1228,"base":3},"right_expr":{"type":"numeric_atoms","value":1059,"base":3}}}}},"used_operators":["12rbrZMWeM","T2fj7uvVaJ","Z2TMIBDE3Q","rysDP5nf3Z","eewbuw0ToL","XhwjNDsVaA","9FxExcQeMw","JLbD19bQDL","8HhzD0ZcuI","DyGG3AbaNP","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1805","layer":4},{"info":"number node, value=3308","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=3308, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1503","layer":3},{"info":"compute unary expreesion, input=-1503, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1503","layer":2},{"info":"number node, value=1331","layer":4},{"info":"number node, value=2797","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=2797, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1045","layer":4},{"info":"number node, value=4181","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=4181, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3126","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3126, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3136","layer":2},{"info":"compute binary expreesion, left_input=1503, right_input=3136, op_id = T2fj7uvVaJ 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=7235","layer":4},{"info":"number node, value=3576","layer":4},{"info":"compute binary expreesion, left_input=7235, right_input=3576, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-157045089","layer":3},{"info":"compute unary expreesion, input=-157045089, 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=3297","layer":4},{"info":"number node, value=1988","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=1988, 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=1228","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=1059, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = rysDP5nf3Z binary_op_definition= 'None', 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=0, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2110212-⫏≰11112112)⩤)⋓((⫏≰1211022/⫏≰10211121)⨰(⫏≰1102201⨰⫏≰12201212))⋳⪒((⫏≰100220222⨽⫏≰11220110)⪠⩆⊳)⩷∴(⫏≰11112010∼⫏≰2201122-⫏≰1200111≭⫏≰1110020)=NaN","reverse_text":"NaN=((⫏≰2110212-⫏≰11112112)⩤)⋓((⫏≰1211022/⫏≰10211121)⨰(⫏≰1102201⨰⫏≰12201212))⋳⪒((⫏≰100220222⨽⫏≰11220110)⪠⩆⊳)⩷∴(⫏≰11112010∼⫏≰2201122-⫏≰1200111≭⫏≰1110020)","cot":[{"info":"⫏≰2110212-⫏≰11112112=⫏≰-2001200","layer":3},{"info":"⫏≰-2001200⩤=⫏≰2001200","layer":2},{"info":"⫏≰1211022/⫏≰10211121=⫏≰0","layer":3},{"info":"⫏≰1102201⨰⫏≰12201212=⫏≰-11021210","layer":3},{"info":"⫏≰0⨰⫏≰-11021210=⫏≰11022011","layer":2},{"info":"⫏≰2001200⋓⫏≰11022011=⫏≰0","layer":1},{"info":"⫏≰100220222⨽⫏≰11220110=⫏≰-101221111201100210","layer":3},{"info":"⫏≰-101221111201100210⪠⩆⊳=⫏≰0","layer":2},{"info":"⫏≰11112010∼⫏≰2201122=NaN","layer":3},{"info":"⫏≰1200111≭⫏≰1110020=NaN","layer":3},{"info":"NaN-NaN=NaN","layer":2},{"info":"⫏≰0⩷∴NaN=NaN","layer":1},{"info":"⫏≰0⋳⪒NaN=NaN","layer":0}]}
{"id":709,"expression_no_base_symbol":"(⨵≀≌$2836$)≧⫂∧$4329$⨓$7582$≧⫂∧($1660$⪢$7099$↺(∂$3496$))-($3739$≧⫂∧$2059$/$3524$⋳⪒$6914$)≭($6163$%$1025$)∼($2407$⋓$2341$)","expression":"(⨵≀≌⫏≰10220001)≧⫂∧⫏≰12221100⨓⫏≰101101211≧⫂∧(⫏≰2021111⪢⫏≰100201221↺(∂⫏≰11210111))-(⫏≰12010111≧⫂∧⫏≰2211021/⫏≰11211112⋳⪒⫏≰100111002)≭(⫏≰22110021%⫏≰1101222)∼(⫏≰10022011⋓⫏≰10012201)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15259,"operation_count":15,"complexity_ratio":1017.2666666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2836,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4329,"base":3},"right_expr":{"type":"numeric_atoms","value":7582,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1660,"base":3},"right_expr":{"type":"numeric_atoms","value":7099,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3496,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3739,"base":3},"right_expr":{"type":"numeric_atoms","value":2059,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3524,"base":3},"right_expr":{"type":"numeric_atoms","value":6914,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6163,"base":3},"right_expr":{"type":"numeric_atoms","value":1025,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2407,"base":3},"right_expr":{"type":"numeric_atoms","value":2341,"base":3}}}}},"used_operators":["rysDP5nf3Z","Ph9nP6C5qx","srAu1WTS94","3ViojmjbAp","7j4O788W3g","dWAJyo7jo9","Uaa54Peajs","rxpJgHHUmx","XhwjNDsVaA","12rbrZMWeM","DyGG3AbaNP","k8jYdgA6NY","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2836","layer":4},{"info":"compute unary expreesion, input=2836, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8508","layer":3},{"info":"number node, value=4329","layer":4},{"info":"number node, value=7582","layer":4},{"info":"compute binary expreesion, left_input=4329, right_input=7582, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7585","layer":3},{"info":"compute binary expreesion, left_input=-8508, right_input=-7585, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-923","layer":2},{"info":"number node, value=1660","layer":4},{"info":"number node, value=7099","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=7099, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3496","layer":4},{"info":"compute unary expreesion, input=3496, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=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 binary expreesion, left_input=-923, 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=3739","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=3739, right_input=2059, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1586","layer":3},{"info":"number node, value=3524","layer":4},{"info":"number node, value=6914","layer":4},{"info":"compute binary expreesion, left_input=3524, right_input=6914, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-153","layer":3},{"info":"compute binary expreesion, left_input=1586, right_input=-153, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-11","layer":2},{"info":"number node, value=6163","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=6163, right_input=1025, op_id = k8jYdgA6NY binary_op_definition= 'None', output=13","layer":3},{"info":"number node, value=2407","layer":4},{"info":"number node, value=2341","layer":4},{"info":"compute binary expreesion, left_input=2407, right_input=2341, op_id = T2fj7uvVaJ 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=13, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=-11, right_input=20, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨵≀≌⫏≰10220001)≧⫂∧⫏≰12221100⨓⫏≰101101211≧⫂∧(⫏≰2021111⪢⫏≰100201221↺(∂⫏≰11210111))-(⫏≰12010111≧⫂∧⫏≰2211021/⫏≰11211112⋳⪒⫏≰100111002)≭(⫏≰22110021%⫏≰1101222)∼(⫏≰10022011⋓⫏≰10012201)=NaN","reverse_text":"NaN=(⨵≀≌⫏≰10220001)≧⫂∧⫏≰12221100⨓⫏≰101101211≧⫂∧(⫏≰2021111⪢⫏≰100201221↺(∂⫏≰11210111))-(⫏≰12010111≧⫂∧⫏≰2211021/⫏≰11211112⋳⪒⫏≰100111002)≭(⫏≰22110021%⫏≰1101222)∼(⫏≰10022011⋓⫏≰10012201)","cot":[{"info":"⨵≀≌⫏≰10220001=⫏≰-102200010","layer":3},{"info":"⫏≰12221100⨓⫏≰101101211=⫏≰-101101221","layer":3},{"info":"⫏≰-102200010≧⫂∧⫏≰-101101221=⫏≰-1021012","layer":2},{"info":"⫏≰2021111⪢⫏≰100201221=NaN","layer":3},{"info":"∂⫏≰11210111=NaN","layer":3},{"info":"NaN↺NaN=NaN","layer":2},{"info":"⫏≰-1021012≧⫂∧NaN=NaN","layer":1},{"info":"⫏≰12010111≧⫂∧⫏≰2211021=⫏≰2011202","layer":3},{"info":"⫏≰11211112⋳⪒⫏≰100111002=⫏≰-12200","layer":3},{"info":"⫏≰2011202/⫏≰-12200=⫏≰-102","layer":2},{"info":"⫏≰22110021%⫏≰1101222=⫏≰111","layer":3},{"info":"⫏≰10022011⋓⫏≰10012201=⫏≰0","layer":3},{"info":"⫏≰111∼⫏≰0=⫏≰202","layer":2},{"info":"⫏≰-102≭⫏≰202=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":710,"expression_no_base_symbol":"((∥⊫$1610$⫥∨⫟$8660$)⇷($1712$⨪↰⇹$2570$↺$1834$≧⫂∧$3607$))⊴(↔(⩦⩻⨪$4343$∼$3974$))","expression":"((∥⊫⫏≰2012122⫥∨⫟⫏≰102212202)⇷(⫏≰2100102⨪↰⇹⫏≰10112012↺⫏≰2111221≧⫂∧⫏≰11221121))⊴(↔(⩦⩻⨪⫏≰12221212∼⫏≰12110012))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4171,"operation_count":10,"complexity_ratio":417.1,"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":1610,"base":3},"right_expr":{"type":"numeric_atoms","value":8660,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1712,"base":3},"right_expr":{"type":"numeric_atoms","value":2570,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1834,"base":3},"right_expr":{"type":"numeric_atoms","value":3607,"base":3}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4343,"base":3},"right_expr":{"type":"numeric_atoms","value":3974,"base":3}}}}},"used_operators":["Nsiff2A1zJ","mp7IySMOzn","P8v4zCKN1o","KYD54nUTWz","7j4O788W3g","tmPS8pqC7x","Ph9nP6C5qx","ruOEQAzv1W","2td37pGCOC","DyGG3AbaNP"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1610","layer":4},{"info":"number node, value=8660","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=8660, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":"number node, value=1712","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=2570, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1712","layer":3},{"info":"number node, value=1834","layer":4},{"info":"number node, value=3607","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=3607, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3134","layer":3},{"info":"compute binary expreesion, left_input=1712, right_input=3134, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3134, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6268","layer":1},{"info":"number node, value=4343","layer":4},{"info":"number node, value=3974","layer":4},{"info":"compute binary expreesion, left_input=4343, right_input=3974, 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 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":"compute binary expreesion, left_input=6268, right_input=-134, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((∥⊫⫏≰2012122⫥∨⫟⫏≰102212202)⇷(⫏≰2100102⨪↰⇹⫏≰10112012↺⫏≰2111221≧⫂∧⫏≰11221121))⊴(↔(⩦⩻⨪⫏≰12221212∼⫏≰12110012))=NaN","reverse_text":"NaN=((∥⊫⫏≰2012122⫥∨⫟⫏≰102212202)⇷(⫏≰2100102⨪↰⇹⫏≰10112012↺⫏≰2111221≧⫂∧⫏≰11221121))⊴(↔(⩦⩻⨪⫏≰12221212∼⫏≰12110012))","cot":[{"info":"⫏≰2012122⫥∨⫟⫏≰102212202=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⫏≰2100102⨪↰⇹⫏≰10112012=⫏≰2100102","layer":3},{"info":"⫏≰2111221≧⫂∧⫏≰11221121=⫏≰11022002","layer":3},{"info":"⫏≰2100102↺⫏≰11022002=⫏≰11022002","layer":2},{"info":"NaN⇷⫏≰11022002=⫏≰22121011","layer":1},{"info":"⫏≰12221212∼⫏≰12110012=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"↔NaN=⫏≰-11222","layer":1},{"info":"⫏≰22121011⊴⫏≰-11222=NaN","layer":0}]}
{"id":711,"expression_no_base_symbol":"(($3787$∀⇚≩$1037$⋷($3178$≋⫹))⩨($5164$⪮%⊝$5004$⪨≂$3407$⋓$4732$))⨰(($6392$⊴$5857$⋥≓≎$5646$≹⇙⪍$5702$)⨽$2769$⇷$1693$⨓($1624$⊘))","expression":"((⫏≰12012021∀⇚≩⫏≰1102102⋷(⫏≰11100201≋⫹))⩨(⫏≰21002021⪮%⊝⫏≰20212100⪨≂⫏≰11200012⋓⫏≰20111021))⨰((⫏≰22202202⊴⫏≰22000221⋥≓≎⫏≰21202010≹⇙⪍⫏≰21211012)⨽⫏≰10210120⇷⫏≰2022201⨓(⫏≰2020011⊘))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":72718,"operation_count":15,"complexity_ratio":4847.866666666667,"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":3787,"base":3},"right_expr":{"type":"numeric_atoms","value":1037,"base":3}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3178,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5164,"base":3},"right_expr":{"type":"numeric_atoms","value":5004,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3407,"base":3},"right_expr":{"type":"numeric_atoms","value":4732,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6392,"base":3},"right_expr":{"type":"numeric_atoms","value":5857,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5646,"base":3},"right_expr":{"type":"numeric_atoms","value":5702,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2769,"base":3},"right_expr":{"type":"numeric_atoms","value":1693,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1624,"base":3}}}}},"used_operators":["eewbuw0ToL","2DlMacCsIx","23Mk6UjR3U","LRNGc0VcxI","N41Kp7NANJ","sdazOOVcIp","IWmyXbctLI","T2fj7uvVaJ","8HhzD0ZcuI","Qy55tPpLXF","Nsiff2A1zJ","AHs5Up7iyr","3ViojmjbAp","mp7IySMOzn","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3787","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=1037, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3178","layer":4},{"info":"compute unary expreesion, input=3178, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6356","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6356, 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=5164","layer":4},{"info":"number node, value=5004","layer":4},{"info":"compute binary expreesion, left_input=5164, right_input=5004, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10644","layer":3},{"info":"number node, value=3407","layer":4},{"info":"number node, value=4732","layer":4},{"info":"compute binary expreesion, left_input=3407, right_input=4732, op_id = T2fj7uvVaJ 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=10644, 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=21390","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21390, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=6392","layer":4},{"info":"number node, value=5857","layer":4},{"info":"compute binary expreesion, left_input=6392, right_input=5857, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5646","layer":4},{"info":"number node, value=5702","layer":4},{"info":"compute binary expreesion, left_input=5646, right_input=5702, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=2769","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=2769, right_input=1693, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3386","layer":3},{"info":"number node, value=1624","layer":4},{"info":"compute unary expreesion, input=1624, 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=3386, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":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":3,"result_base":3,"text":"((⫏≰12012021∀⇚≩⫏≰1102102⋷(⫏≰11100201≋⫹))⩨(⫏≰21002021⪮%⊝⫏≰20212100⪨≂⫏≰11200012⋓⫏≰20111021))⨰((⫏≰22202202⊴⫏≰22000221⋥≓≎⫏≰21202010≹⇙⪍⫏≰21211012)⨽⫏≰10210120⇷⫏≰2022201⨓(⫏≰2020011⊘))=NaN","reverse_text":"NaN=((⫏≰12012021∀⇚≩⫏≰1102102⋷(⫏≰11100201≋⫹))⩨(⫏≰21002021⪮%⊝⫏≰20212100⪨≂⫏≰11200012⋓⫏≰20111021))⨰((⫏≰22202202⊴⫏≰22000221⋥≓≎⫏≰21202010≹⇙⪍⫏≰21211012)⨽⫏≰10210120⇷⫏≰2022201⨓(⫏≰2020011⊘))","cot":[{"info":"⫏≰12012021∀⇚≩⫏≰1102102=NaN","layer":3},{"info":"⫏≰11100201≋⫹=⫏≰-22201102","layer":3},{"info":"NaN⋷⫏≰-22201102=NaN","layer":2},{"info":"⫏≰21002021⪮%⊝⫏≰20212100=⫏≰112121020","layer":3},{"info":"⫏≰11200012⋓⫏≰20111021=⫏≰0","layer":3},{"info":"⫏≰112121020⪨≂⫏≰0=⫏≰1002100020","layer":2},{"info":"NaN⩨⫏≰1002100020=NaN","layer":1},{"info":"⫏≰22202202⊴⫏≰22000221=NaN","layer":3},{"info":"⫏≰21202010≹⇙⪍⫏≰21211012=NaN","layer":3},{"info":"NaN⋥≓≎NaN=⫏≰2111","layer":2},{"info":"⫏≰10210120⇷⫏≰2022201=⫏≰11122102","layer":3},{"info":"⫏≰2020011⊘=⫏≰0","layer":3},{"info":"⫏≰11122102⨓⫏≰0=NaN","layer":2},{"info":"⫏≰2111⨽NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":712,"expression_no_base_symbol":"⪲⇎(($4704$⋝⋈⪟$6011$)∼($1182$/$1744$)⊉≛↸($6675$⩤)∑⇟⊟($3008$⋓$3891$))","expression":"⪲⇎((⫏≰20110020⋝⋈⪟⫏≰22020122)∼(⫏≰1121210/⫏≰2101121)⊉≛↸(⫏≰100011020⩤)∑⇟⊟(⫏≰11010102⋓⫏≰12100010))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":136,"operation_count":8,"complexity_ratio":17.0,"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":4704,"base":3},"right_expr":{"type":"numeric_atoms","value":6011,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1182,"base":3},"right_expr":{"type":"numeric_atoms","value":1744,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6675,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3008,"base":3},"right_expr":{"type":"numeric_atoms","value":3891,"base":3}}}}},"used_operators":["XPYlsWDdGa","DZ8iAZOCBD","DyGG3AbaNP","2DDjHMKMc0","XhwjNDsVaA","U7g4x0WXJJ","Z2TMIBDE3Q","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫏≰2222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4704","layer":4},{"info":"number node, value=6011","layer":4},{"info":"compute binary expreesion, left_input=4704, right_input=6011, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4704","layer":3},{"info":"number node, value=1182","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=1744, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=4704, 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=6675","layer":4},{"info":"compute unary expreesion, input=6675, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6675","layer":3},{"info":"number node, value=3008","layer":4},{"info":"number node, value=3891","layer":4},{"info":"compute binary expreesion, left_input=3008, right_input=3891, op_id = T2fj7uvVaJ 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=-6675, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-6675","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=-6675, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=40","layer":1},{"info":"compute unary expreesion, input=40, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=80","layer":0}],"base":3,"result_base":3,"text":"⪲⇎((⫏≰20110020⋝⋈⪟⫏≰22020122)∼(⫏≰1121210/⫏≰2101121)⊉≛↸(⫏≰100011020⩤)∑⇟⊟(⫏≰11010102⋓⫏≰12100010))=⫏≰2222","reverse_text":"⫏≰2222=⪲⇎((⫏≰20110020⋝⋈⪟⫏≰22020122)∼(⫏≰1121210/⫏≰2101121)⊉≛↸(⫏≰100011020⩤)∑⇟⊟(⫏≰11010102⋓⫏≰12100010))","cot":[{"info":"⫏≰20110020⋝⋈⪟⫏≰22020122=⫏≰20110020","layer":3},{"info":"⫏≰1121210/⫏≰2101121=⫏≰0","layer":3},{"info":"⫏≰20110020∼⫏≰0=⫏≰202","layer":2},{"info":"⫏≰100011020⩤=⫏≰-100011020","layer":3},{"info":"⫏≰11010102⋓⫏≰12100010=⫏≰0","layer":3},{"info":"⫏≰-100011020∑⇟⊟⫏≰0=⫏≰-100011020","layer":2},{"info":"⫏≰202⊉≛↸⫏≰-100011020=⫏≰1111","layer":1},{"info":"⪲⇎⫏≰1111=⫏≰2222","layer":0}]}
{"id":713,"expression_no_base_symbol":"(((⨰⫟⨤$1508$)∲⫓$1671$%$3872$)⇼⇔∾$1863$∼$4463$∼($1542$⫸⊐$1445$))⨐⩸⫘(($1284$↬$1276$)⨪↰⇹($1364$⋥≓≎$3915$)-(⨑⩽⪐$1516$↬$1788$))","expression":"(((⨰⫟⨤⫏≰2001212)∲⫓⫏≰2021220%⫏≰12022102)⇼⇔∾⫏≰2120000∼⫏≰20010022∼(⫏≰2010010⫸⊐⫏≰1222112))⨐⩸⫘((⫏≰1202120↬⫏≰1202021)⨪↰⇹(⫏≰1212112⋥≓≎⫏≰12101000)-(⨑⩽⪐⫏≰2002011↬⫏≰2110020))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5278,"operation_count":14,"complexity_ratio":377.0,"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":1508,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1671,"base":3},"right_expr":{"type":"numeric_atoms","value":3872,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1863,"base":3},"right_expr":{"type":"numeric_atoms","value":4463,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1542,"base":3},"right_expr":{"type":"numeric_atoms","value":1445,"base":3}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1284,"base":3},"right_expr":{"type":"numeric_atoms","value":1276,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1364,"base":3},"right_expr":{"type":"numeric_atoms","value":3915,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1516,"base":3},"right_expr":{"type":"numeric_atoms","value":1788,"base":3}}}}},"used_operators":["fu6greOZ01","tifHPKVTfV","i8ToyICDmI","Tw270M8GLb","k8jYdgA6NY","DyGG3AbaNP","mqXw5SEYmG","rysDP5nf3Z","tmPS8pqC7x","B5M0gjZbta","Qy55tPpLXF","AF7qkfDlqP"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1508","layer":4},{"info":"compute unary expreesion, input=1508, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1671","layer":4},{"info":"number node, value=3872","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=3872, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1671","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1671, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1863","layer":4},{"info":"number node, value=4463","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=4463, 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=1542","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=1445, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5655","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5655, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1284","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=1276, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1364","layer":4},{"info":"number node, value=3915","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=3915, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6499","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6499, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1516","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=1788, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":"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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":3,"result_base":3,"text":"(((⨰⫟⨤⫏≰2001212)∲⫓⫏≰2021220%⫏≰12022102)⇼⇔∾⫏≰2120000∼⫏≰20010022∼(⫏≰2010010⫸⊐⫏≰1222112))⨐⩸⫘((⫏≰1202120↬⫏≰1202021)⨪↰⇹(⫏≰1212112⋥≓≎⫏≰12101000)-(⨑⩽⪐⫏≰2002011↬⫏≰2110020))=NaN","reverse_text":"NaN=(((⨰⫟⨤⫏≰2001212)∲⫓⫏≰2021220%⫏≰12022102)⇼⇔∾⫏≰2120000∼⫏≰20010022∼(⫏≰2010010⫸⊐⫏≰1222112))⨐⩸⫘((⫏≰1202120↬⫏≰1202021)⨪↰⇹(⫏≰1212112⋥≓≎⫏≰12101000)-(⨑⩽⪐⫏≰2002011↬⫏≰2110020))","cot":[{"info":"⨰⫟⨤⫏≰2001212=NaN","layer":3},{"info":"⫏≰2021220%⫏≰12022102=⫏≰2021220","layer":3},{"info":"NaN∲⫓⫏≰2021220=⫏≰0","layer":2},{"info":"⫏≰2120000∼⫏≰20010022=NaN","layer":3},{"info":"⫏≰2010010⫸⊐⫏≰1222112=⫏≰21202110","layer":3},{"info":"NaN∼⫏≰21202110=NaN","layer":2},{"info":"⫏≰0⇼⇔∾NaN=NaN","layer":1},{"info":"⫏≰1202120↬⫏≰1202021=NaN","layer":3},{"info":"⫏≰1212112⋥≓≎⫏≰12101000=⫏≰22220201","layer":3},{"info":"NaN⨪↰⇹⫏≰22220201=NaN","layer":2},{"info":"⫏≰2002011↬⫏≰2110020=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":714,"expression_no_base_symbol":"≦∁(⨰⫟⨤(⨰⫟⨤$1439$⊴$1880$))","expression":"≦∁(⨰⫟⨤(⨰⫟⨤⫏≰1222022⊴⫏≰2120122))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1945,"operation_count":4,"complexity_ratio":486.25,"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":1439,"base":3},"right_expr":{"type":"numeric_atoms","value":1880,"base":3}}}}},"used_operators":["9ICcGScMcE","Tw270M8GLb","Nsiff2A1zJ"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1439","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=1880, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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 unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"≦∁(⨰⫟⨤(⨰⫟⨤⫏≰1222022⊴⫏≰2120122))=NaN","reverse_text":"NaN=≦∁(⨰⫟⨤(⨰⫟⨤⫏≰1222022⊴⫏≰2120122))","cot":[{"info":"⫏≰1222022⊴⫏≰2120122=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":715,"expression_no_base_symbol":"(⫛⫱⨽(⊄⩳↩($5140$⨸⪁$3159$)))∑⇟⊟((⊄⩳↩($3890$⩷∴$2547$))⩷∴((-$5109$)↙(↔$6269$)))","expression":"(⫛⫱⨽(⊄⩳↩(⫏≰21001101⨸⪁⫏≰11100000)))∑⇟⊟((⊄⩳↩(⫏≰12100002⩷∴⫏≰10111100))⩷∴((-⫏≰21000020)↙(↔⫏≰22121012)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1453,"operation_count":10,"complexity_ratio":145.3,"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":5140,"base":3},"right_expr":{"type":"numeric_atoms","value":3159,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3890,"base":3},"right_expr":{"type":"numeric_atoms","value":2547,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5109,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":6269,"base":3}}}}},"used_operators":["U7g4x0WXJJ","DlLNRPXxWL","8w2t5hMYqp","g55IO6H4Gj","9FxExcQeMw","yyfyN0ffXY","t8gj7n24qd","ruOEQAzv1W"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5140","layer":4},{"info":"number node, value=3159","layer":4},{"info":"compute binary expreesion, left_input=5140, right_input=3159, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16598","layer":3},{"info":"compute unary expreesion, input=16598, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-49794","layer":2},{"info":"compute unary expreesion, input=-49794, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=3890","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=3890, right_input=2547, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2654","layer":3},{"info":"compute unary expreesion, input=2654, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7962","layer":2},{"info":"number node, value=5109","layer":4},{"info":"compute unary expreesion, input=5109, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5109","layer":3},{"info":"number node, value=6269","layer":4},{"info":"compute unary expreesion, input=6269, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5996","layer":3},{"info":"compute binary expreesion, left_input=-5109, right_input=-5996, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5109","layer":2},{"info":"compute binary expreesion, left_input=-7962, right_input=-5109, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5738","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-5738, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫛⫱⨽(⊄⩳↩(⫏≰21001101⨸⪁⫏≰11100000)))∑⇟⊟((⊄⩳↩(⫏≰12100002⩷∴⫏≰10111100))⩷∴((-⫏≰21000020)↙(↔⫏≰22121012)))=NaN","reverse_text":"NaN=(⫛⫱⨽(⊄⩳↩(⫏≰21001101⨸⪁⫏≰11100000)))∑⇟⊟((⊄⩳↩(⫏≰12100002⩷∴⫏≰10111100))⩷∴((-⫏≰21000020)↙(↔⫏≰22121012)))","cot":[{"info":"⫏≰21001101⨸⪁⫏≰11100000=⫏≰211202202","layer":3},{"info":"⊄⩳↩⫏≰211202202=⫏≰-2112022020","layer":2},{"info":"⫛⫱⨽⫏≰-2112022020=⫏≰0","layer":1},{"info":"⫏≰12100002⩷∴⫏≰10111100=⫏≰10122022","layer":3},{"info":"⊄⩳↩⫏≰10122022=⫏≰-101220220","layer":2},{"info":"-⫏≰21000020=⫏≰-21000020","layer":3},{"info":"↔⫏≰22121012=⫏≰-22020002","layer":3},{"info":"⫏≰-21000020↙⫏≰-22020002=⫏≰-21000020","layer":2},{"info":"⫏≰-101220220⩷∴⫏≰-21000020=⫏≰-21212112","layer":1},{"info":"⫏≰0∑⇟⊟⫏≰-21212112=NaN","layer":0}]}
{"id":716,"expression_no_base_symbol":"≉(($5305$⫥∨⫟$1033$)≧⫂∧$2141$⪢$2464$)⨓(($1009$⋷$1020$)≎⊠⪸($1088$⫌⩹⨱))","expression":"≉((⫏≰21021111⫥∨⫟⫏≰1102021)≧⫂∧⫏≰2221022⪢⫏≰10101021)⨓((⫏≰1101101⋷⫏≰1101210)≎⊠⪸(⫏≰1111022⫌⩹⨱))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":269462,"operation_count":8,"complexity_ratio":33682.75,"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":5305,"base":3},"right_expr":{"type":"numeric_atoms","value":1033,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2141,"base":3},"right_expr":{"type":"numeric_atoms","value":2464,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1009,"base":3},"right_expr":{"type":"numeric_atoms","value":1020,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1088,"base":3}}}}},"used_operators":["e1ybzncUwg","3ViojmjbAp","Ph9nP6C5qx","KYD54nUTWz","dWAJyo7jo9","bJkvcejdHO","23Mk6UjR3U","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰-111112122120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5305","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=5305, right_input=1033, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2141","layer":4},{"info":"number node, value=2464","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=2464, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=1009","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1020, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1031","layer":3},{"info":"number node, value=1088","layer":4},{"info":"compute unary expreesion, input=1088, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3577","layer":3},{"info":"compute binary expreesion, left_input=1031, right_input=3577, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=266556","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=266556, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-266559","layer":1},{"info":"compute unary expreesion, input=-266559, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-266559","layer":0}],"base":3,"result_base":3,"text":"≉((⫏≰21021111⫥∨⫟⫏≰1102021)≧⫂∧⫏≰2221022⪢⫏≰10101021)⨓((⫏≰1101101⋷⫏≰1101210)≎⊠⪸(⫏≰1111022⫌⩹⨱))=⫏≰-111112122120","reverse_text":"⫏≰-111112122120=≉((⫏≰21021111⫥∨⫟⫏≰1102021)≧⫂∧⫏≰2221022⪢⫏≰10101021)⨓((⫏≰1101101⋷⫏≰1101210)≎⊠⪸(⫏≰1111022⫌⩹⨱))","cot":[{"info":"⫏≰21021111⫥∨⫟⫏≰1102021=NaN","layer":3},{"info":"⫏≰2221022⪢⫏≰10101021=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"⫏≰1101101⋷⫏≰1101210=⫏≰1102012","layer":3},{"info":"⫏≰1111022⫌⩹⨱=⫏≰11220111","layer":3},{"info":"⫏≰1102012≎⊠⪸⫏≰11220111=⫏≰111112122110","layer":2},{"info":"NaN⨓⫏≰111112122110=⫏≰-111112122120","layer":1},{"info":"≉⫏≰-111112122120=⫏≰-111112122120","layer":0}]}
{"id":717,"expression_no_base_symbol":"(($1760$⇋≉)⨰($2585$⨽$3438$)%(($3865$⩤)⋷($3247$⊭∹↮)))⪘⫢(+⊝⨔(↽≂(↔$1231$)))","expression":"((⫏≰2102012⇋≉)⨰(⫏≰10112202⨽⫏≰11201100)%((⫏≰12022011⩤)⋷(⫏≰11110021⊭∹↮)))⪘⫢(+⊝⨔(↽≂(↔⫏≰1200121)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5271,"operation_count":11,"complexity_ratio":479.1818181818182,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1760,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2585,"base":3},"right_expr":{"type":"numeric_atoms","value":3438,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3865,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3247,"base":3}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1231,"base":3}}}}},"used_operators":["oacrs7FA3X","k8jYdgA6NY","eewbuw0ToL","XIabStNQrY","8HhzD0ZcuI","23Mk6UjR3U","Z2TMIBDE3Q","xNBdhnnwKq","DhbWaqg5eL","u6S6b8DprG","ruOEQAzv1W"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫏≰202101000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1760","layer":4},{"info":"compute unary expreesion, input=1760, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3422","layer":3},{"info":"number node, value=2585","layer":4},{"info":"number node, value=3438","layer":4},{"info":"compute binary expreesion, left_input=2585, right_input=3438, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-20055675","layer":3},{"info":"compute binary expreesion, left_input=3422, right_input=-20055675, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=20059107","layer":2},{"info":"number node, value=3865","layer":4},{"info":"compute unary expreesion, input=3865, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3865","layer":3},{"info":"number node, value=3247","layer":4},{"info":"compute unary expreesion, input=3247, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6494","layer":3},{"info":"compute binary expreesion, left_input=-3865, right_input=6494, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7730","layer":2},{"info":"compute binary expreesion, left_input=20059107, right_input=7730, op_id = k8jYdgA6NY binary_op_definition= 'None', output=7487","layer":1},{"info":"number node, value=1231","layer":4},{"info":"compute unary expreesion, input=1231, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-958","layer":3},{"info":"compute unary expreesion, input=-958, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=1916","layer":2},{"info":"compute unary expreesion, input=1916, 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=7487, right_input=1522, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14850","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2102012⇋≉)⨰(⫏≰10112202⨽⫏≰11201100)%((⫏≰12022011⩤)⋷(⫏≰11110021⊭∹↮)))⪘⫢(+⊝⨔(↽≂(↔⫏≰1200121)))=⫏≰202101000","reverse_text":"⫏≰202101000=((⫏≰2102012⇋≉)⨰(⫏≰10112202⨽⫏≰11201100)%((⫏≰12022011⩤)⋷(⫏≰11110021⊭∹↮)))⪘⫢(+⊝⨔(↽≂(↔⫏≰1200121)))","cot":[{"info":"⫏≰2102012⇋≉=⫏≰11200202","layer":3},{"info":"⫏≰10112202⨽⫏≰11201100=⫏≰-1101201221012210","layer":3},{"info":"⫏≰11200202⨰⫏≰-1101201221012210=⫏≰1101202002220220","layer":2},{"info":"⫏≰12022011⩤=⫏≰-12022011","layer":3},{"info":"⫏≰11110021⊭∹↮=⫏≰22220112","layer":3},{"info":"⫏≰-12022011⋷⫏≰22220112=⫏≰101121022","layer":2},{"info":"⫏≰1101202002220220%⫏≰101121022=⫏≰101021022","layer":1},{"info":"↔⫏≰1200121=⫏≰-1022111","layer":3},{"info":"↽≂⫏≰-1022111=⫏≰2121222","layer":2},{"info":"+⊝⨔⫏≰2121222=⫏≰2002101","layer":1},{"info":"⫏≰101021022⪘⫢⫏≰2002101=⫏≰202101000","layer":0}]}
{"id":718,"expression_no_base_symbol":"(⋗⩬⋾($1595$⋳⪒$3066$⪄(↩$3290$)))⇼⇔∾($3908$≋⫹)⊴(⪲⇎$1535$)⋥≓≎(-($1495$⩤))","expression":"(⋗⩬⋾(⫏≰2012002⋳⪒⫏≰11012120⪄(↩⫏≰11111212)))⇼⇔∾(⫏≰12100202≋⫹)⊴(⪲⇎⫏≰2002212)⋥≓≎(-(⫏≰2001101⩤))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4893,"operation_count":11,"complexity_ratio":444.8181818181818,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1595,"base":3},"right_expr":{"type":"numeric_atoms","value":3066,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3290,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3908,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1535,"base":3}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1495,"base":3}}}}},"used_operators":["tifHPKVTfV","DpFCA1CohY","SUmda5xLS4","12rbrZMWeM","jLgFTUHLKL","Qy55tPpLXF","Nsiff2A1zJ","N41Kp7NANJ","XPYlsWDdGa","t8gj7n24qd","Z2TMIBDE3Q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰121110121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1595","layer":4},{"info":"number node, value=3066","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=3066, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-163","layer":3},{"info":"number node, value=3290","layer":4},{"info":"compute unary expreesion, input=3290, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-23540","layer":3},{"info":"compute binary expreesion, left_input=-163, right_input=-23540, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11937","layer":1},{"info":"number node, value=3908","layer":4},{"info":"compute unary expreesion, input=3908, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7816","layer":3},{"info":"number node, value=1535","layer":4},{"info":"compute unary expreesion, input=1535, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3070","layer":3},{"info":"compute binary expreesion, left_input=-7816, right_input=3070, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1495","layer":4},{"info":"compute unary expreesion, input=1495, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1495","layer":3},{"info":"compute unary expreesion, input=-1495, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1495","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1495, 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=-11937, right_input=67, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=12004","layer":0}],"base":3,"result_base":3,"text":"(⋗⩬⋾(⫏≰2012002⋳⪒⫏≰11012120⪄(↩⫏≰11111212)))⇼⇔∾(⫏≰12100202≋⫹)⊴(⪲⇎⫏≰2002212)⋥≓≎(-(⫏≰2001101⩤))=⫏≰121110121","reverse_text":"⫏≰121110121=(⋗⩬⋾(⫏≰2012002⋳⪒⫏≰11012120⪄(↩⫏≰11111212)))⇼⇔∾(⫏≰12100202≋⫹)⊴(⪲⇎⫏≰2002212)⋥≓≎(-(⫏≰2001101⩤))","cot":[{"info":"⫏≰2012002⋳⪒⫏≰11012120=⫏≰-20001","layer":3},{"info":"↩⫏≰11111212=⫏≰-1012021212","layer":3},{"info":"⫏≰-20001⪄⫏≰-1012021212=⫏≰12110101","layer":2},{"info":"⋗⩬⋾⫏≰12110101=⫏≰-121101010","layer":1},{"info":"⫏≰12100202≋⫹=⫏≰-101201111","layer":3},{"info":"⪲⇎⫏≰2002212=⫏≰11012201","layer":3},{"info":"⫏≰-101201111⊴⫏≰11012201=NaN","layer":2},{"info":"⫏≰2001101⩤=⫏≰-2001101","layer":3},{"info":"-⫏≰-2001101=⫏≰2001101","layer":2},{"info":"NaN⋥≓≎⫏≰2001101=⫏≰2111","layer":1},{"info":"⫏≰-121101010⇼⇔∾⫏≰2111=⫏≰121110121","layer":0}]}
{"id":719,"expression_no_base_symbol":"(($8725$∲⫓$1183$)∑⇟⊟($8473$⨎$1388$)⋷(⨵≀≌$1517$⊴$1434$))⫥∨⫟(⫓⪴($1742$⊪)↬($2738$⋓$3997$))","expression":"((⫏≰102222011∲⫓⫏≰1121211)∑⇟⊟(⫏≰102121211⨎⫏≰1220102)⋷(⨵≀≌⫏≰2002012⊴⫏≰1222010))⫥∨⫟(⫓⪴(⫏≰2101112⊪)↬(⫏≰10202102⋓⫏≰12111001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4445,"operation_count":11,"complexity_ratio":404.09090909090907,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":8725,"base":3},"right_expr":{"type":"numeric_atoms","value":1183,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8473,"base":3},"right_expr":{"type":"numeric_atoms","value":1388,"base":3}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1517,"base":3},"right_expr":{"type":"numeric_atoms","value":1434,"base":3}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1742,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2738,"base":3},"right_expr":{"type":"numeric_atoms","value":3997,"base":3}}}}},"used_operators":["KYD54nUTWz","23Mk6UjR3U","U7g4x0WXJJ","i8ToyICDmI","rJVOvQCfKK","srAu1WTS94","Nsiff2A1zJ","eLxqMNBOBk","B5M0gjZbta","zVYPLywUTj","T2fj7uvVaJ"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","rGHVDoGpnC","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=8725","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=8725, right_input=1183, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=8473","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=8473, right_input=1388, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1388","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1388, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1517","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=1434, 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":"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=1742","layer":4},{"info":"compute unary expreesion, input=1742, 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=2738","layer":4},{"info":"number node, value=3997","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=3997, op_id = T2fj7uvVaJ 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬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 unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', 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":3,"result_base":3,"text":"((⫏≰102222011∲⫓⫏≰1121211)∑⇟⊟(⫏≰102121211⨎⫏≰1220102)⋷(⨵≀≌⫏≰2002012⊴⫏≰1222010))⫥∨⫟(⫓⪴(⫏≰2101112⊪)↬(⫏≰10202102⋓⫏≰12111001))=NaN","reverse_text":"NaN=((⫏≰102222011∲⫓⫏≰1121211)∑⇟⊟(⫏≰102121211⨎⫏≰1220102)⋷(⨵≀≌⫏≰2002012⊴⫏≰1222010))⫥∨⫟(⫓⪴(⫏≰2101112⊪)↬(⫏≰10202102⋓⫏≰12111001))","cot":[{"info":"⫏≰102222011∲⫓⫏≰1121211=⫏≰0","layer":3},{"info":"⫏≰102121211⨎⫏≰1220102=⫏≰1220102","layer":3},{"info":"⫏≰0∑⇟⊟⫏≰1220102=NaN","layer":2},{"info":"⫏≰2002012⊴⫏≰1222010=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⫏≰2101112⊪=⫏≰0","layer":3},{"info":"⫏≰10202102⋓⫏≰12111001=⫏≰0","layer":3},{"info":"⫏≰0↬⫏≰0=⫏≰0","layer":2},{"info":"⫓⪴⫏≰0=⫏≰0","layer":1},{"info":"NaN⫥∨⫟⫏≰0=NaN","layer":0}]}
{"id":720,"expression_no_base_symbol":"(($7731$⨸⪁$1920$-$6641$≧⫂∧$1701$)⋝⋈⪟(+⊝⨔$2360$)⊴($1251$⨎$4637$))≹⇙⪍(↣≠⋷(($2394$⩨$5304$)⫩⊇))","expression":"((⫏≰101121100⨸⪁⫏≰2122010-⫏≰100002222≧⫂∧⫏≰2100000)⋝⋈⪟(+⊝⨔⫏≰10020102)⊴(⫏≰1201100⨎⫏≰20100202))≹⇙⪍(↣≠⋷((⫏≰10021200⩨⫏≰21021110)⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7006,"operation_count":11,"complexity_ratio":636.9090909090909,"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":7731,"base":3},"right_expr":{"type":"numeric_atoms","value":1920,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6641,"base":3},"right_expr":{"type":"numeric_atoms","value":1701,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2360,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1251,"base":3},"right_expr":{"type":"numeric_atoms","value":4637,"base":3}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2394,"base":3},"right_expr":{"type":"numeric_atoms","value":5304,"base":3}}}}},"used_operators":["AHs5Up7iyr","2DDjHMKMc0","rysDP5nf3Z","g55IO6H4Gj","Ph9nP6C5qx","Nsiff2A1zJ","DhbWaqg5eL","rJVOvQCfKK","Asc51vEJeQ","BjRHVeLaeN","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7731","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=7731, right_input=1920, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19302","layer":3},{"info":"number node, value=6641","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=6641, right_input=1701, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1228","layer":3},{"info":"compute binary expreesion, left_input=19302, right_input=1228, op_id = rysDP5nf3Z binary_op_definition= 'None', output=18074","layer":2},{"info":"number node, value=2360","layer":4},{"info":"compute unary expreesion, input=2360, 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=1251","layer":4},{"info":"number node, value=4637","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=4637, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4637","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=4637, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=18074, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2394","layer":4},{"info":"number node, value=5304","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=5304, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=48","layer":2},{"info":"compute unary expreesion, input=48, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"((⫏≰101121100⨸⪁⫏≰2122010-⫏≰100002222≧⫂∧⫏≰2100000)⋝⋈⪟(+⊝⨔⫏≰10020102)⊴(⫏≰1201100⨎⫏≰20100202))≹⇙⪍(↣≠⋷((⫏≰10021200⩨⫏≰21021110)⫩⊇))=NaN","reverse_text":"NaN=((⫏≰101121100⨸⪁⫏≰2122010-⫏≰100002222≧⫂∧⫏≰2100000)⋝⋈⪟(+⊝⨔⫏≰10020102)⊴(⫏≰1201100⨎⫏≰20100202))≹⇙⪍(↣≠⋷((⫏≰10021200⩨⫏≰21021110)⫩⊇))","cot":[{"info":"⫏≰101121100⨸⪁⫏≰2122010=⫏≰222110220","layer":3},{"info":"⫏≰100002222≧⫂∧⫏≰2100000=⫏≰1200111","layer":3},{"info":"⫏≰222110220-⫏≰1200111=⫏≰220210102","layer":2},{"info":"+⊝⨔⫏≰10020102=⫏≰2002101","layer":3},{"info":"⫏≰1201100⨎⫏≰20100202=⫏≰20100202","layer":3},{"info":"⫏≰2002101⊴⫏≰20100202=NaN","layer":2},{"info":"⫏≰220210102⋝⋈⪟NaN=NaN","layer":1},{"info":"⫏≰10021200⩨⫏≰21021110=⫏≰-20","layer":3},{"info":"⫏≰-20⫩⊇=⫏≰1210","layer":2},{"info":"↣≠⋷⫏≰1210=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":721,"expression_no_base_symbol":"(($5043$-$2143$)⪮%⊝($1536$⪒$2271$)⫌⩹⨱)≧⫂∧((($2032$≋⫹)⨐⩸⫘$7558$∼$1193$)≫≃)","expression":"((⫏≰20220210-⫏≰2221101)⪮%⊝(⫏≰2002220⪒⫏≰10010010)⫌⩹⨱)≧⫂∧(((⫏≰2210021≋⫹)⨐⩸⫘⫏≰101100221∼⫏≰1122012)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":182,"operation_count":9,"complexity_ratio":20.22222222222222,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5043,"base":3},"right_expr":{"type":"numeric_atoms","value":2143,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1536,"base":3},"right_expr":{"type":"numeric_atoms","value":2271,"base":3}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2032,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7558,"base":3},"right_expr":{"type":"numeric_atoms","value":1193,"base":3}}}}},"used_operators":["Ph9nP6C5qx","EBcxylXtPf","IWmyXbctLI","rysDP5nf3Z","f6k1SAg4EE","X99M06cbEe","fu6greOZ01","N41Kp7NANJ","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5043","layer":4},{"info":"number node, value=2143","layer":4},{"info":"compute binary expreesion, left_input=5043, right_input=2143, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2900","layer":3},{"info":"number node, value=1536","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=2271, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3807","layer":3},{"info":"compute binary expreesion, left_input=2900, right_input=-3807, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6116","layer":2},{"info":"compute unary expreesion, input=6116, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=13633","layer":1},{"info":"number node, value=2032","layer":4},{"info":"compute unary expreesion, input=2032, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4064","layer":3},{"info":"number node, value=7558","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=7558, right_input=1193, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4064, 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 = 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=13633, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20220210-⫏≰2221101)⪮%⊝(⫏≰2002220⪒⫏≰10010010)⫌⩹⨱)≧⫂∧(((⫏≰2210021≋⫹)⨐⩸⫘⫏≰101100221∼⫏≰1122012)≫≃)=NaN","reverse_text":"NaN=((⫏≰20220210-⫏≰2221101)⪮%⊝(⫏≰2002220⪒⫏≰10010010)⫌⩹⨱)≧⫂∧(((⫏≰2210021≋⫹)⨐⩸⫘⫏≰101100221∼⫏≰1122012)≫≃)","cot":[{"info":"⫏≰20220210-⫏≰2221101=⫏≰10222102","layer":3},{"info":"⫏≰2002220⪒⫏≰10010010=⫏≰-12020000","layer":3},{"info":"⫏≰10222102⪮%⊝⫏≰-12020000=⫏≰22101112","layer":2},{"info":"⫏≰22101112⫌⩹⨱=⫏≰200200221","layer":1},{"info":"⫏≰2210021≋⫹=⫏≰-12120112","layer":3},{"info":"⫏≰101100221∼⫏≰1122012=NaN","layer":3},{"info":"⫏≰-12120112⨐⩸⫘NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⫏≰200200221≧⫂∧NaN=NaN","layer":0}]}
{"id":722,"expression_no_base_symbol":"(($2208$⊉≛↸$4163$)⪮%⊝($1138$⇼⇔∾$4080$)∲⫓($3969$⫸⊐$2765$⋷$4266$⨽$2816$))⫌⩹⨱","expression":"((⫏≰10000210⊉≛↸⫏≰12201012)⪮%⊝(⫏≰1120011⇼⇔∾⫏≰12121010)∲⫓(⫏≰12110000⫸⊐⫏≰10210102⋷⫏≰12212000⨽⫏≰10212022))⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4323,"operation_count":8,"complexity_ratio":540.375,"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":2208,"base":3},"right_expr":{"type":"numeric_atoms","value":4163,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1138,"base":3},"right_expr":{"type":"numeric_atoms","value":4080,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3969,"base":3},"right_expr":{"type":"numeric_atoms","value":2765,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4266,"base":3},"right_expr":{"type":"numeric_atoms","value":2816,"base":3}}}}},"used_operators":["EBcxylXtPf","i8ToyICDmI","IWmyXbctLI","DZ8iAZOCBD","tifHPKVTfV","23Mk6UjR3U","mqXw5SEYmG","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫏≰1000000112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2208","layer":4},{"info":"number node, value=4163","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=4163, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4416","layer":3},{"info":"number node, value=1138","layer":4},{"info":"number node, value=4080","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=4080, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2942","layer":3},{"info":"compute binary expreesion, left_input=4416, right_input=2942, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9148","layer":2},{"info":"number node, value=3969","layer":4},{"info":"number node, value=2765","layer":4},{"info":"compute binary expreesion, left_input=3969, right_input=2765, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10935","layer":3},{"info":"number node, value=4266","layer":4},{"info":"number node, value=2816","layer":4},{"info":"compute binary expreesion, left_input=4266, right_input=2816, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-54603402","layer":3},{"info":"compute binary expreesion, left_input=10935, right_input=-54603402, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-109217739","layer":2},{"info":"compute binary expreesion, left_input=9148, right_input=-109217739, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=9148","layer":1},{"info":"compute unary expreesion, input=9148, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=19697","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10000210⊉≛↸⫏≰12201012)⪮%⊝(⫏≰1120011⇼⇔∾⫏≰12121010)∲⫓(⫏≰12110000⫸⊐⫏≰10210102⋷⫏≰12212000⨽⫏≰10212022))⫌⩹⨱=⫏≰1000000112","reverse_text":"⫏≰1000000112=((⫏≰10000210⊉≛↸⫏≰12201012)⪮%⊝(⫏≰1120011⇼⇔∾⫏≰12121010)∲⫓(⫏≰12110000⫸⊐⫏≰10210102⋷⫏≰12212000⨽⫏≰10212022))⫌⩹⨱","cot":[{"info":"⫏≰10000210⊉≛↸⫏≰12201012=⫏≰20001120","layer":3},{"info":"⫏≰1120011⇼⇔∾⫏≰12121010=⫏≰11000222","layer":3},{"info":"⫏≰20001120⪮%⊝⫏≰11000222=⫏≰110112211","layer":2},{"info":"⫏≰12110000⫸⊐⫏≰10210102=⫏≰120000000","layer":3},{"info":"⫏≰12212000⨽⫏≰10212022=⫏≰-10210202010210020","layer":3},{"info":"⫏≰120000000⋷⫏≰-10210202010210020=⫏≰-21121111211120110","layer":2},{"info":"⫏≰110112211∲⫓⫏≰-21121111211120110=⫏≰110112211","layer":1},{"info":"⫏≰110112211⫌⩹⨱=⫏≰1000000112","layer":0}]}
{"id":723,"expression_no_base_symbol":"(($3790$⪄$1265$)⫩⊇)⨰(≦∁$2034$)⪛($2706$⋳⪒$7548$)⋥≓≎((⩦⩻⨪$7581$)⊭↱($1882$⩨$2366$))⩷∴(($4397$+$1423$)⨸⪁(⪝⪂⫅$1990$))","expression":"((⫏≰12012101⪄⫏≰1201212)⫩⊇)⨰(≦∁⫏≰2210100)⪛(⫏≰10201020⋳⪒⫏≰101100120)⋥≓≎((⩦⩻⨪⫏≰101101210)⊭↱(⫏≰2120201⩨⫏≰10020122))⩷∴((⫏≰20000212+⫏≰1221201)⨸⪁(⪝⪂⫅⫏≰2201201))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":292,"operation_count":14,"complexity_ratio":20.857142857142858,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3790,"base":3},"right_expr":{"type":"numeric_atoms","value":1265,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2034,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2706,"base":3},"right_expr":{"type":"numeric_atoms","value":7548,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7581,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1882,"base":3},"right_expr":{"type":"numeric_atoms","value":2366,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4397,"base":3},"right_expr":{"type":"numeric_atoms","value":1423,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1990,"base":3}}}}},"used_operators":["Qy55tPpLXF","eewbuw0ToL","BjRHVeLaeN","SUmda5xLS4","uFcxV4UQCh","9ICcGScMcE","12rbrZMWeM","9FxExcQeMw","COABgblf1C","2td37pGCOC","2DlMacCsIx","g55IO6H4Gj","W4YGzv6Whe","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫏≰10010212110220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3790","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=3790, right_input=1265, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-562069","layer":3},{"info":"compute unary expreesion, input=-562069, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=562111","layer":2},{"info":"number node, value=2034","layer":4},{"info":"compute unary expreesion, input=2034, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2034","layer":3},{"info":"number node, value=2706","layer":4},{"info":"number node, value=7548","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=7548, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2423","layer":3},{"info":"compute binary expreesion, left_input=2034, right_input=-2423, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-389","layer":2},{"info":"compute binary expreesion, left_input=562111, right_input=-389, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=562510","layer":1},{"info":"number node, value=7581","layer":4},{"info":"compute unary expreesion, input=7581, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7581","layer":3},{"info":"number node, value=1882","layer":4},{"info":"number node, value=2366","layer":4},{"info":"compute binary expreesion, left_input=1882, right_input=2366, 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=7581, right_input=-3, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-15163","layer":2},{"info":"number node, value=4397","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=1423, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5820","layer":3},{"info":"number node, value=1990","layer":4},{"info":"compute unary expreesion, input=1990, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-292530","layer":3},{"info":"compute binary expreesion, left_input=5820, right_input=-292530, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-573420","layer":2},{"info":"compute binary expreesion, left_input=-15163, right_input=-573420, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1116482","layer":1},{"info":"compute binary expreesion, left_input=562510, right_input=1116482, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1670487","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12012101⪄⫏≰1201212)⫩⊇)⨰(≦∁⫏≰2210100)⪛(⫏≰10201020⋳⪒⫏≰101100120)⋥≓≎((⩦⩻⨪⫏≰101101210)⊭↱(⫏≰2120201⩨⫏≰10020122))⩷∴((⫏≰20000212+⫏≰1221201)⨸⪁(⪝⪂⫅⫏≰2201201))=⫏≰10010212110220","reverse_text":"⫏≰10010212110220=((⫏≰12012101⪄⫏≰1201212)⫩⊇)⨰(≦∁⫏≰2210100)⪛(⫏≰10201020⋳⪒⫏≰101100120)⋥≓≎((⩦⩻⨪⫏≰101101210)⊭↱(⫏≰2120201⩨⫏≰10020122))⩷∴((⫏≰20000212+⫏≰1221201)⨸⪁(⪝⪂⫅⫏≰2201201))","cot":[{"info":"⫏≰12012101⪄⫏≰1201212=⫏≰-1001120000101","layer":3},{"info":"⫏≰-1001120000101⫩⊇=⫏≰1001120001221","layer":2},{"info":"≦∁⫏≰2210100=⫏≰2210100","layer":3},{"info":"⫏≰10201020⋳⪒⫏≰101100120=⫏≰-10022202","layer":3},{"info":"⫏≰2210100⪛⫏≰-10022202=⫏≰-112102","layer":2},{"info":"⫏≰1001120001221⨰⫏≰-112102=⫏≰1001120121201","layer":1},{"info":"⩦⩻⨪⫏≰101101210=⫏≰101101210","layer":3},{"info":"⫏≰2120201⩨⫏≰10020122=⫏≰-10","layer":3},{"info":"⫏≰101101210⊭↱⫏≰-10=⫏≰-202210121","layer":2},{"info":"⫏≰20000212+⫏≰1221201=⫏≰21222120","layer":3},{"info":"⪝⪂⫅⫏≰2201201=⫏≰-112212021110","layer":3},{"info":"⫏≰21222120⨸⪁⫏≰-112212021110=⫏≰-1002010120210","layer":2},{"info":"⫏≰-202210121⩷∴⫏≰-1002010120210=⫏≰2002201112012","layer":1},{"info":"⫏≰1001120121201⋥≓≎⫏≰2002201112012=⫏≰10010212110220","layer":0}]}
{"id":724,"expression_no_base_symbol":"⪲⇎$2807$⪘⫢$5098$≭$1126$⨰$2236$⨽($4141$+⇶⊼$5070$⩨(⇁⨣⪵$2706$))","expression":"⪲⇎⫏≰10211222⪘⫢⫏≰20222211≭⫏≰1112201⨰⫏≰10001211⨽(⫏≰12200101+⇶⊼⫏≰20221210⩨(⇁⨣⪵⫏≰10201020))","highest_n_order":5,"priority_hierarchical_complexity":6,"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":2807,"base":3},"right_expr":{"type":"numeric_atoms","value":5098,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1126,"base":3},"right_expr":{"type":"numeric_atoms","value":2236,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4141,"base":3},"right_expr":{"type":"numeric_atoms","value":5070,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2706,"base":3}}}}},"used_operators":["XPYlsWDdGa","8HhzD0ZcuI","rxpJgHHUmx","oacrs7FA3X","eewbuw0ToL","2DlMacCsIx","TpPTUOHfaN","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2807","layer":4},{"info":"number node, value=5098","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=5098, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5490","layer":3},{"info":"number node, value=1126","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=2236, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1100","layer":3},{"info":"compute binary expreesion, left_input=5490, right_input=-1100, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4141","layer":4},{"info":"number node, value=5070","layer":4},{"info":"compute binary expreesion, left_input=4141, right_input=5070, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2706","layer":4},{"info":"compute unary expreesion, input=2706, 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 = 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪲⇎⫏≰10211222⪘⫢⫏≰20222211≭⫏≰1112201⨰⫏≰10001211⨽(⫏≰12200101+⇶⊼⫏≰20221210⩨(⇁⨣⪵⫏≰10201020))=NaN","reverse_text":"NaN=⪲⇎⫏≰10211222⪘⫢⫏≰20222211≭⫏≰1112201⨰⫏≰10001211⨽(⫏≰12200101+⇶⊼⫏≰20221210⩨(⇁⨣⪵⫏≰10201020))","cot":[{"info":"⫏≰10211222⪘⫢⫏≰20222211=⫏≰21112100","layer":3},{"info":"⫏≰1112201⨰⫏≰10001211=⫏≰-1111202","layer":3},{"info":"⫏≰21112100≭⫏≰-1111202=NaN","layer":2},{"info":"⫏≰12200101+⇶⊼⫏≰20221210=NaN","layer":3},{"info":"⇁⨣⪵⫏≰10201020=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"((↣≠⋷$1120$)⪄($4909$⇼⇔∾$2678$)↛⩡⫤)≎⊠⪸(⨈⫕($1208$⊭↱$3441$-$4137$≭$1532$))","expression":"((↣≠⋷⫏≰1112111)⪄(⫏≰20201211⇼⇔∾⫏≰10200012)↛⩡⫤)≎⊠⪸(⨈⫕(⫏≰1122202⊭↱⫏≰11201110-⫏≰12200020≭⫏≰2002202))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12762,"operation_count":9,"complexity_ratio":1418.0,"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":1120,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4909,"base":3},"right_expr":{"type":"numeric_atoms","value":2678,"base":3}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1208,"base":3},"right_expr":{"type":"numeric_atoms","value":3441,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4137,"base":3},"right_expr":{"type":"numeric_atoms","value":1532,"base":3}}}}},"used_operators":["bJkvcejdHO","FU0Cs4j7VP","SUmda5xLS4","Asc51vEJeQ","tifHPKVTfV","megm06wKyl","rysDP5nf3Z","COABgblf1C","rxpJgHHUmx"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"⫏≰101202220120202012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1120","layer":4},{"info":"compute unary expreesion, input=1120, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=4909","layer":4},{"info":"number node, value=2678","layer":4},{"info":"compute binary expreesion, left_input=4909, right_input=2678, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2231","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2231, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-596918","layer":1},{"info":"number node, value=1208","layer":4},{"info":"number node, value=3441","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=3441, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4471","layer":3},{"info":"number node, value=4137","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=4137, right_input=1532, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4471, right_input=nan, op_id = rysDP5nf3Z 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=-596918, right_input=-21, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=154601762","layer":0}],"base":3,"result_base":3,"text":"((↣≠⋷⫏≰1112111)⪄(⫏≰20201211⇼⇔∾⫏≰10200012)↛⩡⫤)≎⊠⪸(⨈⫕(⫏≰1122202⊭↱⫏≰11201110-⫏≰12200020≭⫏≰2002202))=⫏≰101202220120202012","reverse_text":"⫏≰101202220120202012=((↣≠⋷⫏≰1112111)⪄(⫏≰20201211⇼⇔∾⫏≰10200012)↛⩡⫤)≎⊠⪸(⨈⫕(⫏≰1122202⊭↱⫏≰11201110-⫏≰12200020≭⫏≰2002202))","cot":[{"info":"↣≠⋷⫏≰1112111=NaN","layer":3},{"info":"⫏≰20201211⇼⇔∾⫏≰10200012=⫏≰-10001122","layer":3},{"info":"NaN⪄⫏≰-10001122=⫏≰12110101","layer":2},{"info":"⫏≰12110101↛⩡⫤=⫏≰-1010022211002","layer":1},{"info":"⫏≰1122202⊭↱⫏≰11201110=⫏≰20010121","layer":3},{"info":"⫏≰12200020≭⫏≰2002202=NaN","layer":3},{"info":"⫏≰20010121-NaN=NaN","layer":2},{"info":"⨈⫕NaN=⫏≰-210","layer":1},{"info":"⫏≰-1010022211002≎⊠⪸⫏≰-210=⫏≰101202220120202012","layer":0}]}
{"id":726,"expression_no_base_symbol":"($1040$⪘⫢$1957$≧⫂∧$2329$⇷$1199$⨵⪆($2621$⨓$3599$/$1725$⨪↰⇹$2056$))≭(((⫓⪴$3255$)∸)⪠⩆⊳)","expression":"(⫏≰1102112⪘⫢⫏≰2200111≧⫂∧⫏≰10012021⇷⫏≰1122102⨵⪆(⫏≰10121002⨓⫏≰11221022/⫏≰2100220⨪↰⇹⫏≰2211011))≭(((⫓⪴⫏≰11110120)∸)⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":41400,"operation_count":11,"complexity_ratio":3763.6363636363635,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1040,"base":3},"right_expr":{"type":"numeric_atoms","value":1957,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2329,"base":3},"right_expr":{"type":"numeric_atoms","value":1199,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2621,"base":3},"right_expr":{"type":"numeric_atoms","value":3599,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1725,"base":3},"right_expr":{"type":"numeric_atoms","value":2056,"base":3}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3255,"base":3}}}}},"used_operators":["rxpJgHHUmx","2DQ55sFlQl","Ph9nP6C5qx","oacrs7FA3X","mp7IySMOzn","XhwjNDsVaA","3ViojmjbAp","tmPS8pqC7x","JLbD19bQDL","o20kRiQErp","eLxqMNBOBk"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫏≰-211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1040","layer":4},{"info":"number node, value=1957","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1957, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1956","layer":3},{"info":"number node, value=2329","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=2329, right_input=1199, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2398","layer":3},{"info":"compute binary expreesion, left_input=1956, right_input=2398, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1925","layer":2},{"info":"number node, value=2621","layer":4},{"info":"number node, value=3599","layer":4},{"info":"compute binary expreesion, left_input=2621, right_input=3599, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3602","layer":3},{"info":"number node, value=1725","layer":4},{"info":"number node, value=2056","layer":4},{"info":"compute binary expreesion, left_input=1725, right_input=2056, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1725","layer":3},{"info":"compute binary expreesion, left_input=-3602, right_input=1725, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":2},{"info":"compute binary expreesion, left_input=1925, right_input=-3, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3255","layer":4},{"info":"compute unary expreesion, input=3255, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10595025","layer":3},{"info":"compute unary expreesion, input=10595025, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1102112⪘⫢⫏≰2200111≧⫂∧⫏≰10012021⇷⫏≰1122102⨵⪆(⫏≰10121002⨓⫏≰11221022/⫏≰2100220⨪↰⇹⫏≰2211011))≭(((⫓⪴⫏≰11110120)∸)⪠⩆⊳)=⫏≰-211","reverse_text":"⫏≰-211=(⫏≰1102112⪘⫢⫏≰2200111≧⫂∧⫏≰10012021⇷⫏≰1122102⨵⪆(⫏≰10121002⨓⫏≰11221022/⫏≰2100220⨪↰⇹⫏≰2211011))≭(((⫓⪴⫏≰11110120)∸)⪠⩆⊳)","cot":[{"info":"⫏≰1102112⪘⫢⫏≰2200111=⫏≰2200110","layer":3},{"info":"⫏≰10012021⇷⫏≰1122102=⫏≰10021211","layer":3},{"info":"⫏≰2200110≧⫂∧⫏≰10021211=⫏≰2122022","layer":2},{"info":"⫏≰10121002⨓⫏≰11221022=⫏≰-11221102","layer":3},{"info":"⫏≰2100220⨪↰⇹⫏≰2211011=⫏≰2100220","layer":3},{"info":"⫏≰-11221102/⫏≰2100220=⫏≰-10","layer":2},{"info":"⫏≰2122022⨵⪆⫏≰-10=⫏≰12221","layer":1},{"info":"⫓⪴⫏≰11110120=⫏≰201221021122100","layer":3},{"info":"⫏≰201221021122100∸=⫏≰20120","layer":2},{"info":"⫏≰20120⪠⩆⊳=⫏≰0","layer":1},{"info":"⫏≰12221≭⫏≰0=⫏≰-211","layer":0}]}
{"id":727,"expression_no_base_symbol":"(⊙↵-($3525$↺$1383$)⊴($1913$⨳⩥⨓$3559$))⪛((⪝⪂⫅($2377$⨰$1418$))≦≮≮)","expression":"(⊙↵-(⫏≰11211120↺⫏≰1220020)⊴(⫏≰2121212⨳⩥⨓⫏≰11212211))⪛((⪝⪂⫅(⫏≰10021001⨰⫏≰1221112))≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1847,"operation_count":8,"complexity_ratio":230.875,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3525,"base":3},"right_expr":{"type":"numeric_atoms","value":1383,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1913,"base":3},"right_expr":{"type":"numeric_atoms","value":3559,"base":3}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2377,"base":3},"right_expr":{"type":"numeric_atoms","value":1418,"base":3}}}}},"used_operators":["uFcxV4UQCh","oWn0xqSxBt","Nsiff2A1zJ","7j4O788W3g","nCS4ZIUYfx","D4vGDi5EA2","XTarYq4gQB","eewbuw0ToL"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3525","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=1383, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1383","layer":3},{"info":"number node, value=1913","layer":4},{"info":"number node, value=3559","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=3559, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1646","layer":3},{"info":"compute binary expreesion, left_input=1383, right_input=1646, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=2377","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=2377, right_input=1418, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=969","layer":3},{"info":"compute unary expreesion, input=969, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-142443","layer":2},{"info":"compute unary expreesion, input=-142443, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=427329","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=427329, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊙↵-(⫏≰11211120↺⫏≰1220020)⊴(⫏≰2121212⨳⩥⨓⫏≰11212211))⪛((⪝⪂⫅(⫏≰10021001⨰⫏≰1221112))≦≮≮)=NaN","reverse_text":"NaN=(⊙↵-(⫏≰11211120↺⫏≰1220020)⊴(⫏≰2121212⨳⩥⨓⫏≰11212211))⪛((⪝⪂⫅(⫏≰10021001⨰⫏≰1221112))≦≮≮)","cot":[{"info":"⫏≰11211120↺⫏≰1220020=⫏≰1220020","layer":3},{"info":"⫏≰2121212⨳⩥⨓⫏≰11212211=⫏≰2020222","layer":3},{"info":"⫏≰1220020⊴⫏≰2020222=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⫏≰10021001⨰⫏≰1221112=⫏≰1022220","layer":3},{"info":"⪝⪂⫅⫏≰1022220=⫏≰-21020101200","layer":2},{"info":"⫏≰-21020101200≦≮≮=⫏≰210201012000","layer":1},{"info":"NaN⪛⫏≰210201012000=NaN","layer":0}]}
{"id":728,"expression_no_base_symbol":"⊙↵-(($1064$⨽$4269$⋷$2765$⩷∴$6568$)⋝⋈⪟($1227$⪛$1017$⫡⨏$4071$⨐⩸⫘$2371$))","expression":"⊙↵-((⫏≰1110102⨽⫏≰12212010⋷⫏≰10210102⩷∴⫏≰100000021)⋝⋈⪟(⫏≰1200110⪛⫏≰1101200⫡⨏⫏≰12120210⨐⩸⫘⫏≰10020211))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1123,"operation_count":8,"complexity_ratio":140.375,"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":1064,"base":3},"right_expr":{"type":"numeric_atoms","value":4269,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2765,"base":3},"right_expr":{"type":"numeric_atoms","value":6568,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1227,"base":3},"right_expr":{"type":"numeric_atoms","value":1017,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4071,"base":3},"right_expr":{"type":"numeric_atoms","value":2371,"base":3}}}}},"used_operators":["oWn0xqSxBt","2DDjHMKMc0","23Mk6UjR3U","8HhzD0ZcuI","9FxExcQeMw","QMFrweE19q","uFcxV4UQCh","fu6greOZ01"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1064","layer":4},{"info":"number node, value=4269","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=4269, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3407781","layer":3},{"info":"number node, value=2765","layer":4},{"info":"number node, value=6568","layer":4},{"info":"compute binary expreesion, left_input=2765, right_input=6568, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7638","layer":3},{"info":"compute binary expreesion, left_input=-3407781, right_input=-7638, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6815562","layer":2},{"info":"number node, value=1227","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=1017, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=210","layer":3},{"info":"number node, value=4071","layer":4},{"info":"number node, value=2371","layer":4},{"info":"compute binary expreesion, left_input=4071, right_input=2371, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=210, 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=6815562, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊙↵-((⫏≰1110102⨽⫏≰12212010⋷⫏≰10210102⩷∴⫏≰100000021)⋝⋈⪟(⫏≰1200110⪛⫏≰1101200⫡⨏⫏≰12120210⨐⩸⫘⫏≰10020211))=NaN","reverse_text":"NaN=⊙↵-((⫏≰1110102⨽⫏≰12212010⋷⫏≰10210102⩷∴⫏≰100000021)⋝⋈⪟(⫏≰1200110⪛⫏≰1101200⫡⨏⫏≰12120210⨐⩸⫘⫏≰10020211))","cot":[{"info":"⫏≰1110102⨽⫏≰12212010=⫏≰-20102010121010","layer":3},{"info":"⫏≰10210102⩷∴⫏≰100000021=⫏≰-101110220","layer":3},{"info":"⫏≰-20102010121010⋷⫏≰-101110220=⫏≰110211021012020","layer":2},{"info":"⫏≰1200110⪛⫏≰1101200=⫏≰21210","layer":3},{"info":"⫏≰12120210⨐⩸⫘⫏≰10020211=NaN","layer":3},{"info":"⫏≰21210⫡⨏NaN=NaN","layer":2},{"info":"⫏≰110211021012020⋝⋈⪟NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":729,"expression_no_base_symbol":"((⩦⩻⨪$2211$)⪄$4912$↬$4075$⪨≂($3341$⨵⪆$1317$)↙$4201$≹⇙⪍$6473$)⨽(($7689$⪠⩆⊳)↛⩡⫤)⩷∴(⨈⫕$1020$⋓$1061$)","expression":"((⩦⩻⨪⫏≰10000220)⪄⫏≰20201221↬⫏≰12120221⪨≂(⫏≰11120202⨵⪆⫏≰1210210)↙⫏≰12202121≹⇙⪍⫏≰22212202)⨽((⫏≰101112210⪠⩆⊳)↛⩡⫤)⩷∴(⨈⫕⫏≰1101210⋓⫏≰1110022)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":596,"operation_count":13,"complexity_ratio":45.84615384615385,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2211,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4912,"base":3},"right_expr":{"type":"numeric_atoms","value":4075,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3341,"base":3},"right_expr":{"type":"numeric_atoms","value":1317,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4201,"base":3},"right_expr":{"type":"numeric_atoms","value":6473,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":7689,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1020,"base":3},"right_expr":{"type":"numeric_atoms","value":1061,"base":3}}}}},"used_operators":["8HhzD0ZcuI","sdazOOVcIp","SUmda5xLS4","2td37pGCOC","B5M0gjZbta","yyfyN0ffXY","2DQ55sFlQl","AHs5Up7iyr","9FxExcQeMw","FU0Cs4j7VP","JLbD19bQDL","megm06wKyl","T2fj7uvVaJ"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2211","layer":4},{"info":"compute unary expreesion, input=2211, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2211","layer":3},{"info":"number node, value=4912","layer":4},{"info":"number node, value=4075","layer":4},{"info":"compute binary expreesion, left_input=4912, right_input=4075, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2211, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=3341","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=3341, right_input=1317, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4201","layer":4},{"info":"number node, value=6473","layer":4},{"info":"compute binary expreesion, left_input=4201, right_input=6473, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=160, right_input=nan, 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 = 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=7689","layer":4},{"info":"compute unary expreesion, input=7689, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":2},{"info":"number node, value=1020","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1061, op_id = T2fj7uvVaJ 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 = 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=0, right_input=-21, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=10","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⩦⩻⨪⫏≰10000220)⪄⫏≰20201221↬⫏≰12120221⪨≂(⫏≰11120202⨵⪆⫏≰1210210)↙⫏≰12202121≹⇙⪍⫏≰22212202)⨽((⫏≰101112210⪠⩆⊳)↛⩡⫤)⩷∴(⨈⫕⫏≰1101210⋓⫏≰1110022)=NaN","reverse_text":"NaN=((⩦⩻⨪⫏≰10000220)⪄⫏≰20201221↬⫏≰12120221⪨≂(⫏≰11120202⨵⪆⫏≰1210210)↙⫏≰12202121≹⇙⪍⫏≰22212202)⨽((⫏≰101112210⪠⩆⊳)↛⩡⫤)⩷∴(⨈⫕⫏≰1101210⋓⫏≰1110022)","cot":[{"info":"⩦⩻⨪⫏≰10000220=⫏≰10000220","layer":3},{"info":"⫏≰20201221↬⫏≰12120221=NaN","layer":3},{"info":"⫏≰10000220⪄NaN=NaN","layer":2},{"info":"⫏≰11120202⨵⪆⫏≰1210210=⫏≰12221","layer":3},{"info":"⫏≰12202121≹⇙⪍⫏≰22212202=NaN","layer":3},{"info":"⫏≰12221↙NaN=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"⫏≰101112210⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰0↛⩡⫤=⫏≰0","layer":2},{"info":"⫏≰1101210⋓⫏≰1110022=⫏≰0","layer":3},{"info":"⨈⫕⫏≰0=⫏≰-210","layer":2},{"info":"⫏≰0⩷∴⫏≰-210=⫏≰101","layer":1},{"info":"NaN⨽⫏≰101=NaN","layer":0}]}
{"id":730,"expression_no_base_symbol":"((⨈⫕$1776$⋝⋈⪟$2873$)⫡⨏(($1149$⫌⩹⨱)≦≮≮))≎⊠⪸((⊙↵-$6612$)⊴($2411$∼$3212$)⇼⇔∾(⊥$6137$⪢$5141$))","expression":"((⨈⫕⫏≰2102210⋝⋈⪟⫏≰10221102)⫡⨏((⫏≰1120120⫌⩹⨱)≦≮≮))≎⊠⪸((⊙↵-⫏≰100001220)⊴(⫏≰10022022∼⫏≰11101222)⇼⇔∾(⊥⫏≰22102022⪢⫏≰21001102))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12639,"operation_count":12,"complexity_ratio":1053.25,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1776,"base":3},"right_expr":{"type":"numeric_atoms","value":2873,"base":3}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1149,"base":3}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":6612,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2411,"base":3},"right_expr":{"type":"numeric_atoms","value":3212,"base":3}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6137,"base":3},"right_expr":{"type":"numeric_atoms","value":5141,"base":3}}}}},"used_operators":["bJkvcejdHO","QMFrweE19q","megm06wKyl","2DDjHMKMc0","D4vGDi5EA2","EBcxylXtPf","tifHPKVTfV","Nsiff2A1zJ","oWn0xqSxBt","DyGG3AbaNP","Q3PJZHRvZv","dWAJyo7jo9"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","fu6greOZ01","k8jYdgA6NY"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1776","layer":4},{"info":"number node, value=2873","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=2873, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1776","layer":3},{"info":"compute unary expreesion, input=1776, 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=1149","layer":4},{"info":"compute unary expreesion, input=1149, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3699","layer":3},{"info":"compute unary expreesion, input=3699, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11097","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-11097, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-21516","layer":1},{"info":"number node, value=6612","layer":4},{"info":"compute unary expreesion, input=6612, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2411","layer":4},{"info":"number node, value=3212","layer":4},{"info":"compute binary expreesion, left_input=2411, right_input=3212, 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=-1, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=6137","layer":4},{"info":"number node, value=5141","layer":4},{"info":"compute binary expreesion, left_input=6137, right_input=5141, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":"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=-21516, 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":3,"result_base":3,"text":"((⨈⫕⫏≰2102210⋝⋈⪟⫏≰10221102)⫡⨏((⫏≰1120120⫌⩹⨱)≦≮≮))≎⊠⪸((⊙↵-⫏≰100001220)⊴(⫏≰10022022∼⫏≰11101222)⇼⇔∾(⊥⫏≰22102022⪢⫏≰21001102))=⫏≰2111","reverse_text":"⫏≰2111=((⨈⫕⫏≰2102210⋝⋈⪟⫏≰10221102)⫡⨏((⫏≰1120120⫌⩹⨱)≦≮≮))≎⊠⪸((⊙↵-⫏≰100001220)⊴(⫏≰10022022∼⫏≰11101222)⇼⇔∾(⊥⫏≰22102022⪢⫏≰21001102))","cot":[{"info":"⫏≰2102210⋝⋈⪟⫏≰10221102=⫏≰2102210","layer":3},{"info":"⨈⫕⫏≰2102210=⫏≰-210","layer":2},{"info":"⫏≰1120120⫌⩹⨱=⫏≰12002000","layer":3},{"info":"⫏≰12002000≦≮≮=⫏≰-120020000","layer":2},{"info":"⫏≰-210⫡⨏⫏≰-120020000=⫏≰-1002111220","layer":1},{"info":"⊙↵-⫏≰100001220=⫏≰-1","layer":3},{"info":"⫏≰10022022∼⫏≰11101222=NaN","layer":3},{"info":"⫏≰-1⊴NaN=NaN","layer":2},{"info":"⫏≰22102022⪢⫏≰21001102=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"⫏≰-1002111220≎⊠⪸NaN=⫏≰2111","layer":0}]}
{"id":731,"expression_no_base_symbol":"((⫛⫱⨽($1687$+$6737$))⊉≛↸($2409$≹⇙⪍$1368$⊦⊿))⊦⊿","expression":"((⫛⫱⨽(⫏≰2022111+⫏≰100020112))⊉≛↸(⫏≰10022020≹⇙⪍⫏≰1212200⊦⊿))⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1438,"operation_count":6,"complexity_ratio":239.66666666666666,"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":1687,"base":3},"right_expr":{"type":"numeric_atoms","value":6737,"base":3}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2409,"base":3},"right_expr":{"type":"numeric_atoms","value":1368,"base":3}}}}},"used_operators":["14qkJME0vr","DZ8iAZOCBD","DlLNRPXxWL","W4YGzv6Whe","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9"],"result":"⫏≰-2221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1687","layer":4},{"info":"number node, value=6737","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=6737, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8424","layer":3},{"info":"compute unary expreesion, input=8424, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=2409","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=1368, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', 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 unary expreesion, input=0, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":0}],"base":3,"result_base":3,"text":"((⫛⫱⨽(⫏≰2022111+⫏≰100020112))⊉≛↸(⫏≰10022020≹⇙⪍⫏≰1212200⊦⊿))⊦⊿=⫏≰-2221","reverse_text":"⫏≰-2221=((⫛⫱⨽(⫏≰2022111+⫏≰100020112))⊉≛↸(⫏≰10022020≹⇙⪍⫏≰1212200⊦⊿))⊦⊿","cot":[{"info":"⫏≰2022111+⫏≰100020112=⫏≰102120000","layer":3},{"info":"⫛⫱⨽⫏≰102120000=⫏≰0","layer":2},{"info":"⫏≰10022020≹⇙⪍⫏≰1212200=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⫏≰0⊉≛↸NaN=⫏≰0","layer":1},{"info":"⫏≰0⊦⊿=⫏≰-2221","layer":0}]}
{"id":732,"expression_no_base_symbol":"($4782$⩷∴$1078$/$2851$≎⊠⪸$5756$)⨟⋌⩍(↣≠⋷$1277$)⨟⋌⩍$1418$≹⇙⪍$7201$⪘⫢(($6157$⫸⊐$1619$)⨓($3061$⩨$4928$)⨎(⨑⩽⪐(∥⊫$1545$)))","expression":"(⫏≰20120010⩷∴⫏≰1110221/⫏≰10220121≎⊠⪸⫏≰21220012)⨟⋌⩍(↣≠⋷⫏≰1202022)⨟⋌⩍⫏≰1221112≹⇙⪍⫏≰100212201⪘⫢((⫏≰22110001⫸⊐⫏≰2012222)⨓(⫏≰11012101⩨⫏≰20202112)⨎(⨑⩽⪐(∥⊫⫏≰2010020)))","highest_n_order":4,"priority_hierarchical_complexity":12,"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":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4782,"base":3},"right_expr":{"type":"numeric_atoms","value":1078,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2851,"base":3},"right_expr":{"type":"numeric_atoms","value":5756,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1277,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1418,"base":3},"right_expr":{"type":"numeric_atoms","value":7201,"base":3}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6157,"base":3},"right_expr":{"type":"numeric_atoms","value":1619,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3061,"base":3},"right_expr":{"type":"numeric_atoms","value":4928,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1545,"base":3}}}}},"used_operators":["oacrs7FA3X","rGHVDoGpnC","XhwjNDsVaA","9FxExcQeMw","bJkvcejdHO","Asc51vEJeQ","AHs5Up7iyr","rJVOvQCfKK","3ViojmjbAp","mqXw5SEYmG","2DlMacCsIx","AF7qkfDlqP","P8v4zCKN1o"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","rysDP5nf3Z","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4782","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=4782, right_input=1078, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7376","layer":3},{"info":"number node, value=2851","layer":4},{"info":"number node, value=5756","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=5756, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=737936","layer":3},{"info":"compute binary expreesion, left_input=7376, right_input=737936, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1277","layer":4},{"info":"compute unary expreesion, input=1277, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1418","layer":4},{"info":"number node, value=7201","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=7201, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=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":"number node, value=6157","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=6157, right_input=1619, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6351","layer":3},{"info":"number node, value=3061","layer":4},{"info":"number node, value=4928","layer":4},{"info":"compute binary expreesion, left_input=3061, right_input=4928, 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=6351, right_input=-3, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6","layer":2},{"info":"number node, value=1545","layer":4},{"info":"compute unary expreesion, input=1545, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2413","layer":3},{"info":"compute unary expreesion, input=2413, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2140","layer":2},{"info":"compute binary expreesion, left_input=-6, right_input=-2140, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2140","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2140, 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":3,"result_base":3,"text":"(⫏≰20120010⩷∴⫏≰1110221/⫏≰10220121≎⊠⪸⫏≰21220012)⨟⋌⩍(↣≠⋷⫏≰1202022)⨟⋌⩍⫏≰1221112≹⇙⪍⫏≰100212201⪘⫢((⫏≰22110001⫸⊐⫏≰2012222)⨓(⫏≰11012101⩨⫏≰20202112)⨎(⨑⩽⪐(∥⊫⫏≰2010020)))=NaN","reverse_text":"NaN=(⫏≰20120010⩷∴⫏≰1110221/⫏≰10220121≎⊠⪸⫏≰21220012)⨟⋌⩍(↣≠⋷⫏≰1202022)⨟⋌⩍⫏≰1221112≹⇙⪍⫏≰100212201⪘⫢((⫏≰22110001⫸⊐⫏≰2012222)⨓(⫏≰11012101⩨⫏≰20202112)⨎(⨑⩽⪐(∥⊫⫏≰2010020)))","cot":[{"info":"⫏≰20120010⩷∴⫏≰1110221=⫏≰101010012","layer":3},{"info":"⫏≰10220121≎⊠⪸⫏≰21220012=⫏≰1101111020222","layer":3},{"info":"⫏≰101010012/⫏≰1101111020222=⫏≰0","layer":2},{"info":"↣≠⋷⫏≰1202022=NaN","layer":3},{"info":"⫏≰1221112≹⇙⪍⫏≰100212201=NaN","layer":3},{"info":"NaN⨟⋌⩍NaN=NaN","layer":2},{"info":"⫏≰0⨟⋌⩍NaN=NaN","layer":1},{"info":"⫏≰22110001⫸⊐⫏≰2012222=⫏≰22201020","layer":3},{"info":"⫏≰11012101⩨⫏≰20202112=⫏≰-10","layer":3},{"info":"⫏≰22201020⨓⫏≰-10=⫏≰-20","layer":2},{"info":"∥⊫⫏≰2010020=⫏≰10022101","layer":3},{"info":"⨑⩽⪐⫏≰10022101=⫏≰-2221021","layer":2},{"info":"⫏≰-20⨎⫏≰-2221021=⫏≰-2221021","layer":1},{"info":"NaN⪘⫢⫏≰-2221021=NaN","layer":0}]}
{"id":733,"expression_no_base_symbol":"((⫓⪴$1186$)⨰($7263$⊠≄⫣))⪛(($5357$↙$2399$)⨎(↔$2328$))⇷(($4652$⇼⇔∾$1532$)↬$1098$⪢$1780$↺(⇁⨣⪵($1106$⨵⪆$1799$)))","expression":"((⫓⪴⫏≰1121221)⨰(⫏≰100222000⊠≄⫣))⪛((⫏≰21100102↙⫏≰10021212)⨎(↔⫏≰10012020))⇷((⫏≰20101022⇼⇔∾⫏≰2002202)↬⫏≰1111200⪢⫏≰2102221↺(⇁⨣⪵(⫏≰1111222⨵⪆⫏≰2110122)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21051,"operation_count":14,"complexity_ratio":1503.642857142857,"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":1186,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":7263,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5357,"base":3},"right_expr":{"type":"numeric_atoms","value":2399,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2328,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4652,"base":3},"right_expr":{"type":"numeric_atoms","value":1532,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1098,"base":3},"right_expr":{"type":"numeric_atoms","value":1780,"base":3}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1106,"base":3},"right_expr":{"type":"numeric_atoms","value":1799,"base":3}}}}},"used_operators":["mp7IySMOzn","uFcxV4UQCh","eewbuw0ToL","eLxqMNBOBk","DIvbN7qnHd","rJVOvQCfKK","yyfyN0ffXY","ruOEQAzv1W","7j4O788W3g","B5M0gjZbta","tifHPKVTfV","dWAJyo7jo9","inkyxCbjAn","2DQ55sFlQl"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1186","layer":4},{"info":"compute unary expreesion, input=1186, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1406596","layer":3},{"info":"number node, value=7263","layer":4},{"info":"compute unary expreesion, input=7263, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1406596, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1406606","layer":2},{"info":"number node, value=5357","layer":4},{"info":"number node, value=2399","layer":4},{"info":"compute binary expreesion, left_input=5357, right_input=2399, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7197","layer":3},{"info":"number node, value=2328","layer":4},{"info":"compute unary expreesion, input=2328, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2055","layer":3},{"info":"compute binary expreesion, left_input=-7197, 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":2},{"info":"compute binary expreesion, left_input=1406606, right_input=-2055, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1069","layer":1},{"info":"number node, value=4652","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=4652, right_input=1532, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3120","layer":3},{"info":"number node, value=1098","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=1780, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-3120, 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=1106","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=1799, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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 binary expreesion, left_input=-1069, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫓⪴⫏≰1121221)⨰(⫏≰100222000⊠≄⫣))⪛((⫏≰21100102↙⫏≰10021212)⨎(↔⫏≰10012020))⇷((⫏≰20101022⇼⇔∾⫏≰2002202)↬⫏≰1111200⪢⫏≰2102221↺(⇁⨣⪵(⫏≰1111222⨵⪆⫏≰2110122)))=NaN","reverse_text":"NaN=((⫓⪴⫏≰1121221)⨰(⫏≰100222000⊠≄⫣))⪛((⫏≰21100102↙⫏≰10021212)⨎(↔⫏≰10012020))⇷((⫏≰20101022⇼⇔∾⫏≰2002202)↬⫏≰1111200⪢⫏≰2102221↺(⇁⨣⪵(⫏≰1111222⨵⪆⫏≰2110122)))","cot":[{"info":"⫓⪴⫏≰1121221=⫏≰2122110111011","layer":3},{"info":"⫏≰100222000⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰2122110111011⨰⫏≰0=⫏≰2122110111112","layer":2},{"info":"⫏≰21100102↙⫏≰10021212=⫏≰-100212120","layer":3},{"info":"↔⫏≰10012020=⫏≰-2211010","layer":3},{"info":"⫏≰-100212120⨎⫏≰-2211010=⫏≰-2211010","layer":2},{"info":"⫏≰2122110111112⪛⫏≰-2211010=⫏≰-1110121","layer":1},{"info":"⫏≰20101022⇼⇔∾⫏≰2002202=⫏≰-11021120","layer":3},{"info":"⫏≰1111200⪢⫏≰2102221=NaN","layer":3},{"info":"⫏≰-11021120↬NaN=NaN","layer":2},{"info":"⫏≰1111222⨵⪆⫏≰2110122=⫏≰12221","layer":3},{"info":"⇁⨣⪵⫏≰12221=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⫏≰-1110121⇷NaN=NaN","layer":0}]}
{"id":734,"expression_no_base_symbol":"(($1686$⊦⊿)/(⨞⊢$1453$))↙($1708$≧⫂∧$1325$)∀⇚≩$1154$∼$1212$+(⪲⇎($8314$⫌⩹⨱)⋥≓≎($2695$⩨$8556$))","expression":"((⫏≰2022110⊦⊿)/(⨞⊢⫏≰1222211))↙(⫏≰2100021≧⫂∧⫏≰1211002)∀⇚≩⫏≰1120202∼⫏≰1122220+(⪲⇎(⫏≰102101221⫌⩹⨱)⋥≓≎(⫏≰10200211⩨⫏≰102201220))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6021,"operation_count":12,"complexity_ratio":501.75,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1686,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1453,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1708,"base":3},"right_expr":{"type":"numeric_atoms","value":1325,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1154,"base":3},"right_expr":{"type":"numeric_atoms","value":1212,"base":3}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":8314,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2695,"base":3},"right_expr":{"type":"numeric_atoms","value":8556,"base":3}}}}},"used_operators":["W4YGzv6Whe","yyfyN0ffXY","XhwjNDsVaA","14qkJME0vr","xUOZtlo3hN","LRNGc0VcxI","Ph9nP6C5qx","DyGG3AbaNP","XPYlsWDdGa","Qy55tPpLXF","EBcxylXtPf","2DlMacCsIx"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫏≰-1211102021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1686","layer":4},{"info":"compute unary expreesion, input=1686, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5137","layer":3},{"info":"number node, value=1453","layer":4},{"info":"compute unary expreesion, input=1453, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1627","layer":3},{"info":"compute binary expreesion, left_input=-5137, right_input=-1627, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":2},{"info":"number node, value=1708","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=1325, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=852","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=1212, 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=852, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=3","layer":1},{"info":"number node, value=8314","layer":4},{"info":"compute unary expreesion, input=8314, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=18029","layer":3},{"info":"number node, value=2695","layer":4},{"info":"number node, value=8556","layer":4},{"info":"compute binary expreesion, left_input=2695, right_input=8556, 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=18029, right_input=-9, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-18014","layer":2},{"info":"compute unary expreesion, input=-18014, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-36028","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=-36028, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-36025","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2022110⊦⊿)/(⨞⊢⫏≰1222211))↙(⫏≰2100021≧⫂∧⫏≰1211002)∀⇚≩⫏≰1120202∼⫏≰1122220+(⪲⇎(⫏≰102101221⫌⩹⨱)⋥≓≎(⫏≰10200211⩨⫏≰102201220))=⫏≰-1211102021","reverse_text":"⫏≰-1211102021=((⫏≰2022110⊦⊿)/(⨞⊢⫏≰1222211))↙(⫏≰2100021≧⫂∧⫏≰1211002)∀⇚≩⫏≰1120202∼⫏≰1122220+(⪲⇎(⫏≰102101221⫌⩹⨱)⋥≓≎(⫏≰10200211⩨⫏≰102201220))","cot":[{"info":"⫏≰2022110⊦⊿=⫏≰-21001021","layer":3},{"info":"⨞⊢⫏≰1222211=⫏≰-2020021","layer":3},{"info":"⫏≰-21001021/⫏≰-2020021=⫏≰10","layer":2},{"info":"⫏≰2100021≧⫂∧⫏≰1211002=⫏≰1011120","layer":3},{"info":"⫏≰1120202∼⫏≰1122220=NaN","layer":3},{"info":"⫏≰1011120∀⇚≩NaN=NaN","layer":2},{"info":"⫏≰10↙NaN=⫏≰10","layer":1},{"info":"⫏≰102101221⫌⩹⨱=⫏≰220201202","layer":3},{"info":"⫏≰10200211⩨⫏≰102201220=⫏≰-100","layer":3},{"info":"⫏≰220201202⋥≓≎⫏≰-100=⫏≰-220201012","layer":2},{"info":"⪲⇎⫏≰-220201012=⫏≰-1211102101","layer":1},{"info":"⫏≰10+⫏≰-1211102101=⫏≰-1211102021","layer":0}]}
{"id":735,"expression_no_base_symbol":"($5542$⩷∴$1279$⫥∨⫟($5672$⨽$2687$)⫡⨏($1600$⨸⪁$2467$)⨪↰⇹($1032$⩤))⋝⋈⪟(((⫓⪴$7486$)⨎($1767$-$1065$))≧⫂∧((↩$1057$)≧⫂∧($1511$⩨$3808$)))","expression":"(⫏≰21121021⩷∴⫏≰1202101⫥∨⫟(⫏≰21210002⨽⫏≰10200112)⫡⨏(⫏≰2012021⨸⪁⫏≰10101101)⨪↰⇹(⫏≰1102020⩤))⋝⋈⪟(((⫓⪴⫏≰101021021)⨎(⫏≰2102110-⫏≰1110110))≧⫂∧((↩⫏≰1110011)≧⫂∧(⫏≰2001222⩨⫏≰12020001)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21501,"operation_count":15,"complexity_ratio":1433.4,"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":5542,"base":3},"right_expr":{"type":"numeric_atoms","value":1279,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5672,"base":3},"right_expr":{"type":"numeric_atoms","value":2687,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1600,"base":3},"right_expr":{"type":"numeric_atoms","value":2467,"base":3}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1032,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7486,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1767,"base":3},"right_expr":{"type":"numeric_atoms","value":1065,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1057,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1511,"base":3},"right_expr":{"type":"numeric_atoms","value":3808,"base":3}}}}},"used_operators":["2DDjHMKMc0","QMFrweE19q","KYD54nUTWz","9FxExcQeMw","8HhzD0ZcuI","tmPS8pqC7x","g55IO6H4Gj","Z2TMIBDE3Q","Ph9nP6C5qx","rJVOvQCfKK","eLxqMNBOBk","rysDP5nf3Z","jLgFTUHLKL","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5542","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=5542, right_input=1279, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8494","layer":3},{"info":"number node, value=5672","layer":4},{"info":"number node, value=2687","layer":4},{"info":"compute binary expreesion, left_input=5672, right_input=2687, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-96521499","layer":3},{"info":"compute binary expreesion, left_input=8494, right_input=-96521499, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1600","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=1600, right_input=2467, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8134","layer":3},{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1032","layer":3},{"info":"compute binary expreesion, left_input=8134, right_input=-1032, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=8134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8134, op_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=7486","layer":4},{"info":"compute unary expreesion, input=7486, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=56040196","layer":3},{"info":"number node, value=1767","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=1767, right_input=1065, op_id = rysDP5nf3Z binary_op_definition= 'None', output=702","layer":3},{"info":"compute binary expreesion, left_input=56040196, right_input=702, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=702","layer":2},{"info":"number node, value=1057","layer":4},{"info":"compute unary expreesion, input=1057, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5676","layer":3},{"info":"number node, value=1511","layer":4},{"info":"number node, value=3808","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=3808, 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=-5676, right_input=-6, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-479","layer":2},{"info":"compute binary expreesion, left_input=702, right_input=-479, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1181","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1181, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21121021⩷∴⫏≰1202101⫥∨⫟(⫏≰21210002⨽⫏≰10200112)⫡⨏(⫏≰2012021⨸⪁⫏≰10101101)⨪↰⇹(⫏≰1102020⩤))⋝⋈⪟(((⫓⪴⫏≰101021021)⨎(⫏≰2102110-⫏≰1110110))≧⫂∧((↩⫏≰1110011)≧⫂∧(⫏≰2001222⩨⫏≰12020001)))=NaN","reverse_text":"NaN=(⫏≰21121021⩷∴⫏≰1202101⫥∨⫟(⫏≰21210002⨽⫏≰10200112)⫡⨏(⫏≰2012021⨸⪁⫏≰10101101)⨪↰⇹(⫏≰1102020⩤))⋝⋈⪟(((⫓⪴⫏≰101021021)⨎(⫏≰2102110-⫏≰1110110))≧⫂∧((↩⫏≰1110011)≧⫂∧(⫏≰2001222⩨⫏≰12020001)))","cot":[{"info":"⫏≰21121021⩷∴⫏≰1202101=⫏≰102122121","layer":3},{"info":"⫏≰21210002⨽⫏≰10200112=⫏≰-20201121210121100","layer":3},{"info":"⫏≰102122121⫥∨⫟⫏≰-20201121210121100=NaN","layer":2},{"info":"⫏≰2012021⨸⪁⫏≰10101101=⫏≰102011021","layer":3},{"info":"⫏≰1102020⩤=⫏≰-1102020","layer":3},{"info":"⫏≰102011021⨪↰⇹⫏≰-1102020=⫏≰102011021","layer":2},{"info":"NaN⫡⨏⫏≰102011021=NaN","layer":1},{"info":"⫓⪴⫏≰101021021=⫏≰10220110010200211","layer":3},{"info":"⫏≰2102110-⫏≰1110110=⫏≰222000","layer":3},{"info":"⫏≰10220110010200211⨎⫏≰222000=⫏≰222000","layer":2},{"info":"↩⫏≰1110011=⫏≰-21210020","layer":3},{"info":"⫏≰2001222⩨⫏≰12020001=⫏≰-20","layer":3},{"info":"⫏≰-21210020≧⫂∧⫏≰-20=⫏≰-122202","layer":2},{"info":"⫏≰222000≧⫂∧⫏≰-122202=⫏≰1121202","layer":1},{"info":"NaN⋝⋈⪟⫏≰1121202=NaN","layer":0}]}
{"id":736,"expression_no_base_symbol":"($1658$↬$3386$⩚⊴⇥$1122$⇷$1945$/($1842$+$4271$)⨰($1611$⇋≉))⩚⊴⇥(⩦⩻⨪(⪲⇎$2343$)≹⇙⪍($1519$↬$2359$))","expression":"(⫏≰2021102↬⫏≰11122102⩚⊴⇥⫏≰1112120⇷⫏≰2200001/(⫏≰2112020+⫏≰12212012)⨰(⫏≰2012200⇋≉))⩚⊴⇥(⩦⩻⨪(⪲⇎⫏≰10012210)≹⇙⪍(⫏≰2002021↬⫏≰10020101))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15739,"operation_count":12,"complexity_ratio":1311.5833333333333,"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":1658,"base":3},"right_expr":{"type":"numeric_atoms","value":3386,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1122,"base":3},"right_expr":{"type":"numeric_atoms","value":1945,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1842,"base":3},"right_expr":{"type":"numeric_atoms","value":4271,"base":3}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1611,"base":3}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2343,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1519,"base":3},"right_expr":{"type":"numeric_atoms","value":2359,"base":3}}}}},"used_operators":["NTOWxs364D","XhwjNDsVaA","B5M0gjZbta","mp7IySMOzn","eewbuw0ToL","W4YGzv6Whe","XIabStNQrY","2td37pGCOC","AHs5Up7iyr","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1658","layer":4},{"info":"number node, value=3386","layer":4},{"info":"compute binary expreesion, left_input=1658, right_input=3386, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1122","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=1945, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3890","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3890, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1842","layer":4},{"info":"number node, value=4271","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=4271, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6113","layer":3},{"info":"number node, value=1611","layer":4},{"info":"compute unary expreesion, input=1611, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3124","layer":3},{"info":"compute binary expreesion, left_input=6113, right_input=3124, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2999","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2999, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2343","layer":4},{"info":"compute unary expreesion, input=2343, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4686","layer":3},{"info":"number node, value=1519","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=2359, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4686, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((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":3,"result_base":3,"text":"(⫏≰2021102↬⫏≰11122102⩚⊴⇥⫏≰1112120⇷⫏≰2200001/(⫏≰2112020+⫏≰12212012)⨰(⫏≰2012200⇋≉))⩚⊴⇥(⩦⩻⨪(⪲⇎⫏≰10012210)≹⇙⪍(⫏≰2002021↬⫏≰10020101))=NaN","reverse_text":"NaN=(⫏≰2021102↬⫏≰11122102⩚⊴⇥⫏≰1112120⇷⫏≰2200001/(⫏≰2112020+⫏≰12212012)⨰(⫏≰2012200⇋≉))⩚⊴⇥(⩦⩻⨪(⪲⇎⫏≰10012210)≹⇙⪍(⫏≰2002021↬⫏≰10020101))","cot":[{"info":"⫏≰2021102↬⫏≰11122102=NaN","layer":3},{"info":"⫏≰1112120⇷⫏≰2200001=⫏≰12100002","layer":3},{"info":"NaN⩚⊴⇥⫏≰12100002=NaN","layer":2},{"info":"⫏≰2112020+⫏≰12212012=⫏≰22101102","layer":3},{"info":"⫏≰2012200⇋≉=⫏≰11021201","layer":3},{"info":"⫏≰22101102⨰⫏≰11021201=⫏≰11010002","layer":2},{"info":"NaN/⫏≰11010002=NaN","layer":1},{"info":"⪲⇎⫏≰10012210=⫏≰20102120","layer":3},{"info":"⫏≰2002021↬⫏≰10020101=NaN","layer":3},{"info":"⫏≰20102120≹⇙⪍NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":737,"expression_no_base_symbol":"(↯⪼(+⊝⨔($3857$⨵⪆$1759$)))⋥≓≎($1160$⫸⊐$1019$⪒$1006$⨪↰⇹$1754$)⋥≓≎((⨑⩽⪐$5043$)⊭↱(+⊝⨔$7627$))","expression":"(↯⪼(+⊝⨔(⫏≰12021212⨵⪆⫏≰2102011)))⋥≓≎(⫏≰1120222⫸⊐⫏≰1101202⪒⫏≰1101021⨪↰⇹⫏≰2101222)⋥≓≎((⨑⩽⪐⫏≰20220210)⊭↱(+⊝⨔⫏≰101110111))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1141,"operation_count":11,"complexity_ratio":103.72727272727273,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3857,"base":3},"right_expr":{"type":"numeric_atoms","value":1759,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1160,"base":3},"right_expr":{"type":"numeric_atoms","value":1019,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1006,"base":3},"right_expr":{"type":"numeric_atoms","value":1754,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5043,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":7627,"base":3}}}}},"used_operators":["Qy55tPpLXF","8jW3W4yZS5","DhbWaqg5eL","2DQ55sFlQl","f6k1SAg4EE","mqXw5SEYmG","tmPS8pqC7x","COABgblf1C","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫏≰20222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3857","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=3857, right_input=1759, 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 = 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":"number node, value=1160","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=1019, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3951","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=1754, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1006","layer":3},{"info":"compute binary expreesion, left_input=3951, right_input=1006, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4957","layer":2},{"info":"number node, value=5043","layer":4},{"info":"compute unary expreesion, input=5043, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4770","layer":3},{"info":"number node, value=7627","layer":4},{"info":"compute unary expreesion, input=7627, 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=-4770, right_input=1522, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=12589","layer":2},{"info":"compute binary expreesion, left_input=-4957, right_input=12589, 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=-21, right_input=67, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=188","layer":0}],"base":3,"result_base":3,"text":"(↯⪼(+⊝⨔(⫏≰12021212⨵⪆⫏≰2102011)))⋥≓≎(⫏≰1120222⫸⊐⫏≰1101202⪒⫏≰1101021⨪↰⇹⫏≰2101222)⋥≓≎((⨑⩽⪐⫏≰20220210)⊭↱(+⊝⨔⫏≰101110111))=⫏≰20222","reverse_text":"⫏≰20222=(↯⪼(+⊝⨔(⫏≰12021212⨵⪆⫏≰2102011)))⋥≓≎(⫏≰1120222⫸⊐⫏≰1101202⪒⫏≰1101021⨪↰⇹⫏≰2101222)⋥≓≎((⨑⩽⪐⫏≰20220210)⊭↱(+⊝⨔⫏≰101110111))","cot":[{"info":"⫏≰12021212⨵⪆⫏≰2102011=⫏≰12221","layer":3},{"info":"+⊝⨔⫏≰12221=⫏≰2002101","layer":2},{"info":"↯⪼⫏≰2002101=⫏≰-210","layer":1},{"info":"⫏≰1120222⫸⊐⫏≰1101202=⫏≰12102100","layer":3},{"info":"⫏≰1101021⨪↰⇹⫏≰2101222=⫏≰1101021","layer":3},{"info":"⫏≰12102100⪒⫏≰1101021=⫏≰-20210121","layer":2},{"info":"⨑⩽⪐⫏≰20220210=⫏≰-20112200","layer":3},{"info":"+⊝⨔⫏≰101110111=⫏≰2002101","layer":3},{"info":"⫏≰-20112200⊭↱⫏≰2002101=⫏≰122021021","layer":2},{"info":"⫏≰-20210121⋥≓≎⫏≰122021021=⫏≰2111","layer":1},{"info":"⫏≰-210⋥≓≎⫏≰2111=⫏≰20222","layer":0}]}
{"id":738,"expression_no_base_symbol":"⨞⊢(($3220$∲⫓$3472$)%$3300$∼$6269$)⫥∨⫟($7331$⩷∴$3444$≣⋋)","expression":"⨞⊢((⫏≰11102021∲⫓⫏≰11202121)%⫏≰11112020∼⫏≰22121012)⫥∨⫟(⫏≰101001112⩷∴⫏≰11201120≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":745,"operation_count":7,"complexity_ratio":106.42857142857143,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3220,"base":3},"right_expr":{"type":"numeric_atoms","value":3472,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3300,"base":3},"right_expr":{"type":"numeric_atoms","value":6269,"base":3}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7331,"base":3},"right_expr":{"type":"numeric_atoms","value":3444,"base":3}}}}},"used_operators":["xUOZtlo3hN","KYD54nUTWz","k8jYdgA6NY","i8ToyICDmI","DyGG3AbaNP","Tcnh7f0tEr","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3220","layer":4},{"info":"number node, value=3472","layer":4},{"info":"compute binary expreesion, left_input=3220, right_input=3472, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3300","layer":4},{"info":"number node, value=6269","layer":4},{"info":"compute binary expreesion, left_input=3300, right_input=6269, 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":"number node, value=7331","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=7331, right_input=3444, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7742","layer":3},{"info":"compute unary expreesion, input=7742, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":3,"result_base":3,"text":"⨞⊢((⫏≰11102021∲⫓⫏≰11202121)%⫏≰11112020∼⫏≰22121012)⫥∨⫟(⫏≰101001112⩷∴⫏≰11201120≣⋋)=NaN","reverse_text":"NaN=⨞⊢((⫏≰11102021∲⫓⫏≰11202121)%⫏≰11112020∼⫏≰22121012)⫥∨⫟(⫏≰101001112⩷∴⫏≰11201120≣⋋)","cot":[{"info":"⫏≰11102021∲⫓⫏≰11202121=⫏≰0","layer":3},{"info":"⫏≰11112020∼⫏≰22121012=NaN","layer":3},{"info":"⫏≰0%NaN=NaN","layer":2},{"info":"⫏≰101001112⩷∴⫏≰11201120=⫏≰101121202","layer":3},{"info":"⫏≰101121202≣⋋=⫏≰0","layer":2},{"info":"NaN⫥∨⫟⫏≰0=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":739,"expression_no_base_symbol":"(⫓⪴($6112$∑⇟⊟$1612$))⫥∨⫟($3945$⨸⪁$4413$*($4846$≫≃))⫥∨⫟($5724$∼$3184$/($3485$⊘))↬(($4039$↪⪝)⪄($6284$⨸⪁$5339$))","expression":"(⫓⪴(⫏≰22101101∑⇟⊟⫏≰2012201))⫥∨⫟(⫏≰12102010⨸⪁⫏≰20001110*(⫏≰20122111≫≃))⫥∨⫟(⫏≰21212000∼⫏≰11100221/(⫏≰11210002⊘))↬((⫏≰12112121↪⪝)⪄(⫏≰22121202⨸⪁⫏≰21022202))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12346,"operation_count":14,"complexity_ratio":881.8571428571429,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6112,"base":3},"right_expr":{"type":"numeric_atoms","value":1612,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3945,"base":3},"right_expr":{"type":"numeric_atoms","value":4413,"base":3}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4846,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5724,"base":3},"right_expr":{"type":"numeric_atoms","value":3184,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3485,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4039,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6284,"base":3},"right_expr":{"type":"numeric_atoms","value":5339,"base":3}}}}},"used_operators":["KYD54nUTWz","eLxqMNBOBk","U7g4x0WXJJ","9HNa5Wba9A","g55IO6H4Gj","X99M06cbEe","B5M0gjZbta","XhwjNDsVaA","DyGG3AbaNP","gu96TGCTMs","SUmda5xLS4","l07mrZUIn9"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6112","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=6112, right_input=1612, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=3945","layer":4},{"info":"number node, value=4413","layer":4},{"info":"compute binary expreesion, left_input=3945, right_input=4413, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16716","layer":3},{"info":"number node, value=4846","layer":4},{"info":"compute unary expreesion, input=4846, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11093","layer":3},{"info":"compute binary expreesion, left_input=16716, right_input=11093, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=185430588","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=185430588, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=5724","layer":4},{"info":"number node, value=3184","layer":4},{"info":"compute binary expreesion, left_input=5724, right_input=3184, 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=3485","layer":4},{"info":"compute unary expreesion, input=3485, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4039","layer":4},{"info":"compute unary expreesion, input=4039, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=247114098","layer":3},{"info":"number node, value=6284","layer":4},{"info":"number node, value=5339","layer":4},{"info":"compute binary expreesion, left_input=6284, right_input=5339, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=23246","layer":3},{"info":"compute binary expreesion, left_input=247114098, right_input=23246, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫓⪴(⫏≰22101101∑⇟⊟⫏≰2012201))⫥∨⫟(⫏≰12102010⨸⪁⫏≰20001110*(⫏≰20122111≫≃))⫥∨⫟(⫏≰21212000∼⫏≰11100221/(⫏≰11210002⊘))↬((⫏≰12112121↪⪝)⪄(⫏≰22121202⨸⪁⫏≰21022202))=NaN","reverse_text":"NaN=(⫓⪴(⫏≰22101101∑⇟⊟⫏≰2012201))⫥∨⫟(⫏≰12102010⨸⪁⫏≰20001110*(⫏≰20122111≫≃))⫥∨⫟(⫏≰21212000∼⫏≰11100221/(⫏≰11210002⊘))↬((⫏≰12112121↪⪝)⪄(⫏≰22121202⨸⪁⫏≰21022202))","cot":[{"info":"⫏≰22101101∑⇟⊟⫏≰2012201=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⫏≰12102010⨸⪁⫏≰20001110=⫏≰211221010","layer":3},{"info":"⫏≰20122111≫≃=⫏≰120012212","layer":3},{"info":"⫏≰211221010*⫏≰120012212=⫏≰110220220211221120","layer":2},{"info":"NaN⫥∨⫟⫏≰110220220211221120=NaN","layer":1},{"info":"⫏≰21212000∼⫏≰11100221=NaN","layer":3},{"info":"⫏≰11210002⊘=⫏≰0","layer":3},{"info":"NaN/⫏≰0=NaN","layer":2},{"info":"⫏≰12112121↪⪝=⫏≰122012222200211000","layer":3},{"info":"⫏≰22121202⨸⪁⫏≰21022202=⫏≰1011212222","layer":3},{"info":"⫏≰122012222200211000⪄⫏≰1011212222=-Inf","layer":2},{"info":"NaN↬-Inf=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":740,"expression_no_base_symbol":"($3691$⩷∴$1471$⋝⋈⪟(⫛⫱⨽$4176$)⪒$1647$⨪↰⇹$1035$≭$2889$⪮%⊝$7765$)≧⫂∧(((∥⊫$5145$)↺($1674$⊘))⫥∨⫟($2161$≎⊠⪸$4226$)⪘⫢($1238$⊭↱$4658$))","expression":"(⫏≰12001201⩷∴⫏≰2000111⋝⋈⪟(⫛⫱⨽⫏≰12201200)⪒⫏≰2021000⨪↰⇹⫏≰1102100≭⫏≰10222000⪮%⊝⫏≰101122121)≧⫂∧(((∥⊫⫏≰21001120)↺(⫏≰2022000⊘))⫥∨⫟(⫏≰2222001≎⊠⪸⫏≰12210112)⪘⫢(⫏≰1200212⊭↱⫏≰20101112))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3562,"operation_count":15,"complexity_ratio":237.46666666666667,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3691,"base":3},"right_expr":{"type":"numeric_atoms","value":1471,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4176,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1647,"base":3},"right_expr":{"type":"numeric_atoms","value":1035,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2889,"base":3},"right_expr":{"type":"numeric_atoms","value":7765,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5145,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1674,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2161,"base":3},"right_expr":{"type":"numeric_atoms","value":4226,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1238,"base":3},"right_expr":{"type":"numeric_atoms","value":4658,"base":3}}}}},"used_operators":["Ph9nP6C5qx","f6k1SAg4EE","2DDjHMKMc0","9FxExcQeMw","DlLNRPXxWL","rxpJgHHUmx","tmPS8pqC7x","IWmyXbctLI","KYD54nUTWz","7j4O788W3g","P8v4zCKN1o","gu96TGCTMs","oacrs7FA3X","bJkvcejdHO","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","AHs5Up7iyr","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3691","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=3691, right_input=1471, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4408","layer":3},{"info":"number node, value=4176","layer":4},{"info":"compute unary expreesion, input=4176, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4408, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4408","layer":2},{"info":"number node, value=1647","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=1035, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1647","layer":3},{"info":"number node, value=2889","layer":4},{"info":"number node, value=7765","layer":4},{"info":"compute binary expreesion, left_input=2889, right_input=7765, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6094","layer":3},{"info":"compute binary expreesion, left_input=1647, right_input=6094, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4408, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=5145","layer":4},{"info":"compute unary expreesion, input=5145, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6013","layer":3},{"info":"number node, value=1674","layer":4},{"info":"compute unary expreesion, input=1674, 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=6013, 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=2161","layer":4},{"info":"number node, value=4226","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=4226, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=559226","layer":3},{"info":"number node, value=1238","layer":4},{"info":"number node, value=4658","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=4658, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6845","layer":3},{"info":"compute binary expreesion, left_input=559226, right_input=6845, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1118328","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1118328, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12001201⩷∴⫏≰2000111⋝⋈⪟(⫛⫱⨽⫏≰12201200)⪒⫏≰2021000⨪↰⇹⫏≰1102100≭⫏≰10222000⪮%⊝⫏≰101122121)≧⫂∧(((∥⊫⫏≰21001120)↺(⫏≰2022000⊘))⫥∨⫟(⫏≰2222001≎⊠⪸⫏≰12210112)⪘⫢(⫏≰1200212⊭↱⫏≰20101112))=NaN","reverse_text":"NaN=(⫏≰12001201⩷∴⫏≰2000111⋝⋈⪟(⫛⫱⨽⫏≰12201200)⪒⫏≰2021000⨪↰⇹⫏≰1102100≭⫏≰10222000⪮%⊝⫏≰101122121)≧⫂∧(((∥⊫⫏≰21001120)↺(⫏≰2022000⊘))⫥∨⫟(⫏≰2222001≎⊠⪸⫏≰12210112)⪘⫢(⫏≰1200212⊭↱⫏≰20101112))","cot":[{"info":"⫏≰12001201⩷∴⫏≰2000111=⫏≰20001021","layer":3},{"info":"⫛⫱⨽⫏≰12201200=⫏≰0","layer":3},{"info":"⫏≰20001021⋝⋈⪟⫏≰0=⫏≰20001021","layer":2},{"info":"⫏≰2021000⨪↰⇹⫏≰1102100=⫏≰2021000","layer":3},{"info":"⫏≰10222000⪮%⊝⫏≰101122121=⫏≰22100201","layer":3},{"info":"⫏≰2021000≭⫏≰22100201=NaN","layer":2},{"info":"⫏≰20001021⪒NaN=NaN","layer":1},{"info":"∥⊫⫏≰21001120=⫏≰22020201","layer":3},{"info":"⫏≰2022000⊘=⫏≰0","layer":3},{"info":"⫏≰22020201↺⫏≰0=⫏≰0","layer":2},{"info":"⫏≰2222001≎⊠⪸⫏≰12210112=⫏≰1001102010002","layer":3},{"info":"⫏≰1200212⊭↱⫏≰20101112=⫏≰100101112","layer":3},{"info":"⫏≰1001102010002⪘⫢⫏≰100101112=⫏≰2002211001120","layer":2},{"info":"⫏≰0⫥∨⫟⫏≰2002211001120=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":741,"expression_no_base_symbol":"($2481$%$1276$)⪢($3094$⫸⊐$3617$)⨎((∥⊫$3864$)⫡⨏$1121$⪄$1567$)⨽(($2368$⨟⋌⩍$1457$⨰($2632$≫≃))∸)","expression":"(⫏≰10101220%⫏≰1202021)⪢(⫏≰11020121⫸⊐⫏≰11221222)⨎((∥⊫⫏≰12022010)⫡⨏⫏≰1112112⪄⫏≰2011001)⨽((⫏≰10020201⨟⋌⩍⫏≰1222222⨰(⫏≰10121111≫≃))∸)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":326762,"operation_count":12,"complexity_ratio":27230.166666666668,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2481,"base":3},"right_expr":{"type":"numeric_atoms","value":1276,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3094,"base":3},"right_expr":{"type":"numeric_atoms","value":3617,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3864,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1121,"base":3},"right_expr":{"type":"numeric_atoms","value":1567,"base":3}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2368,"base":3},"right_expr":{"type":"numeric_atoms","value":1457,"base":3}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2632,"base":3}}}}},"used_operators":["8HhzD0ZcuI","rJVOvQCfKK","dWAJyo7jo9","k8jYdgA6NY","mqXw5SEYmG","QMFrweE19q","P8v4zCKN1o","SUmda5xLS4","o20kRiQErp","eewbuw0ToL","rGHVDoGpnC","X99M06cbEe"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"-Inf","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2481","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=1276, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1205","layer":3},{"info":"number node, value=3094","layer":4},{"info":"number node, value=3617","layer":4},{"info":"compute binary expreesion, left_input=3094, right_input=3617, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14343","layer":3},{"info":"compute binary expreesion, left_input=1205, right_input=14343, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3864","layer":4},{"info":"compute unary expreesion, input=3864, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4732","layer":3},{"info":"number node, value=1121","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=1567, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-168265","layer":3},{"info":"compute binary expreesion, left_input=4732, right_input=-168265, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-312087","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-312087, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-312087","layer":1},{"info":"number node, value=2368","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=2368, right_input=1457, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=2632","layer":4},{"info":"compute unary expreesion, input=2632, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6665","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6665, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-312087, right_input=177, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10101220%⫏≰1202021)⪢(⫏≰11020121⫸⊐⫏≰11221222)⨎((∥⊫⫏≰12022010)⫡⨏⫏≰1112112⪄⫏≰2011001)⨽((⫏≰10020201⨟⋌⩍⫏≰1222222⨰(⫏≰10121111≫≃))∸)=-Inf","reverse_text":"-Inf=(⫏≰10101220%⫏≰1202021)⪢(⫏≰11020121⫸⊐⫏≰11221222)⨎((∥⊫⫏≰12022010)⫡⨏⫏≰1112112⪄⫏≰2011001)⨽((⫏≰10020201⨟⋌⩍⫏≰1222222⨰(⫏≰10121111≫≃))∸)","cot":[{"info":"⫏≰10101220%⫏≰1202021=⫏≰1122122","layer":3},{"info":"⫏≰11020121⫸⊐⫏≰11221222=⫏≰201200020","layer":3},{"info":"⫏≰1122122⪢⫏≰201200020=NaN","layer":2},{"info":"∥⊫⫏≰12022010=⫏≰20111021","layer":3},{"info":"⫏≰1112112⪄⫏≰2011001=⫏≰-22112211001","layer":3},{"info":"⫏≰20111021⫡⨏⫏≰-22112211001=⫏≰-120212002210","layer":2},{"info":"NaN⨎⫏≰-120212002210=⫏≰-120212002210","layer":1},{"info":"⫏≰10020201⨟⋌⩍⫏≰1222222=NaN","layer":3},{"info":"⫏≰10121111≫≃=⫏≰100010212","layer":3},{"info":"NaN⨰⫏≰100010212=NaN","layer":2},{"info":"NaN∸=⫏≰20120","layer":1},{"info":"⫏≰-120212002210⨽⫏≰20120=-Inf","layer":0}]}
{"id":742,"expression_no_base_symbol":"(≦∁($7116$-$1454$)⩷∴($1035$↙$1558$))⪘⫢(($4705$+$2267$)⨽$5148$⩷∴$3931$)⪘⫢((-$2313$)⨓($4053$⊭↱$1043$))","expression":"(≦∁(⫏≰100202120-⫏≰1222212)⩷∴(⫏≰1102100↙⫏≰2010201))⪘⫢((⫏≰20110021+⫏≰10002222)⨽⫏≰21001200⩷∴⫏≰12101121)⪘⫢((-⫏≰10011200)⨓(⫏≰12120010⊭↱⫏≰1102122))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14603,"operation_count":12,"complexity_ratio":1216.9166666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7116,"base":3},"right_expr":{"type":"numeric_atoms","value":1454,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1035,"base":3},"right_expr":{"type":"numeric_atoms","value":1558,"base":3}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4705,"base":3},"right_expr":{"type":"numeric_atoms","value":2267,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5148,"base":3},"right_expr":{"type":"numeric_atoms","value":3931,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2313,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4053,"base":3},"right_expr":{"type":"numeric_atoms","value":1043,"base":3}}}}},"used_operators":["oacrs7FA3X","9ICcGScMcE","9FxExcQeMw","rysDP5nf3Z","yyfyN0ffXY","8HhzD0ZcuI","W4YGzv6Whe","3ViojmjbAp","t8gj7n24qd","COABgblf1C"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7116","layer":4},{"info":"number node, value=1454","layer":4},{"info":"compute binary expreesion, left_input=7116, right_input=1454, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5662","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=1558, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4674","layer":3},{"info":"compute binary expreesion, left_input=5662, right_input=-4674, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=20640","layer":2},{"info":"compute unary expreesion, input=20640, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=20640","layer":1},{"info":"number node, value=4705","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=4705, right_input=2267, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6972","layer":3},{"info":"number node, value=5148","layer":4},{"info":"number node, value=3931","layer":4},{"info":"compute binary expreesion, left_input=5148, right_input=3931, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2402","layer":3},{"info":"compute binary expreesion, left_input=6972, right_input=2402, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-145832244","layer":2},{"info":"number node, value=2313","layer":4},{"info":"compute unary expreesion, input=2313, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2313","layer":3},{"info":"number node, value=4053","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=4053, right_input=1043, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6015","layer":3},{"info":"compute binary expreesion, left_input=-2313, right_input=-6015, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6018","layer":2},{"info":"compute binary expreesion, left_input=-145832244, right_input=-6018, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=20640, 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":0}],"base":3,"result_base":3,"text":"(≦∁(⫏≰100202120-⫏≰1222212)⩷∴(⫏≰1102100↙⫏≰2010201))⪘⫢((⫏≰20110021+⫏≰10002222)⨽⫏≰21001200⩷∴⫏≰12101121)⪘⫢((-⫏≰10011200)⨓(⫏≰12120010⊭↱⫏≰1102122))=⫏≰0","reverse_text":"⫏≰0=(≦∁(⫏≰100202120-⫏≰1222212)⩷∴(⫏≰1102100↙⫏≰2010201))⪘⫢((⫏≰20110021+⫏≰10002222)⨽⫏≰21001200⩷∴⫏≰12101121)⪘⫢((-⫏≰10011200)⨓(⫏≰12120010⊭↱⫏≰1102122))","cot":[{"info":"⫏≰100202120-⫏≰1222212=⫏≰21202201","layer":3},{"info":"⫏≰1102100↙⫏≰2010201=⫏≰-20102010","layer":3},{"info":"⫏≰21202201⩷∴⫏≰-20102010=⫏≰1001022110","layer":2},{"info":"≦∁⫏≰1001022110=⫏≰1001022110","layer":1},{"info":"⫏≰20110021+⫏≰10002222=⫏≰100120020","layer":3},{"info":"⫏≰21001200⩷∴⫏≰12101121=⫏≰10021222","layer":3},{"info":"⫏≰100120020⨽⫏≰10021222=⫏≰-101011102001020020","layer":2},{"info":"-⫏≰10011200=⫏≰-10011200","layer":3},{"info":"⫏≰12120010⊭↱⫏≰1102122=⫏≰-22020210","layer":3},{"info":"⫏≰-10011200⨓⫏≰-22020210=⫏≰-22020220","layer":2},{"info":"⫏≰-101011102001020020⪘⫢⫏≰-22020220=⫏≰-1","layer":1},{"info":"⫏≰1001022110⪘⫢⫏≰-1=⫏≰0","layer":0}]}
{"id":743,"expression_no_base_symbol":"($4724$⩷∴$3072$⫥∨⫟($4351$+$1140$)/($1393$⊉≛↸$1063$)∀⇚≩($1051$⨓$1253$))⨪↰⇹(-($1202$⫥∨⫟$1256$⨁⊸⫻))","expression":"(⫏≰20110222⩷∴⫏≰11012210⫥∨⫟(⫏≰12222011+⫏≰1120020)/(⫏≰1220121⊉≛↸⫏≰1110101)∀⇚≩(⫏≰1102221⨓⫏≰1201102))⨪↰⇹(-(⫏≰1122112⫥∨⫟⫏≰1201112⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21082,"operation_count":11,"complexity_ratio":1916.5454545454545,"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":4724,"base":3},"right_expr":{"type":"numeric_atoms","value":3072,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4351,"base":3},"right_expr":{"type":"numeric_atoms","value":1140,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1393,"base":3},"right_expr":{"type":"numeric_atoms","value":1063,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1051,"base":3},"right_expr":{"type":"numeric_atoms","value":1253,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1202,"base":3},"right_expr":{"type":"numeric_atoms","value":1256,"base":3}}}}},"used_operators":["tmPS8pqC7x","XhwjNDsVaA","KYD54nUTWz","9FxExcQeMw","W4YGzv6Whe","LRNGc0VcxI","DZ8iAZOCBD","3ViojmjbAp","t8gj7n24qd","glklzrTFfD"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4724","layer":4},{"info":"number node, value=3072","layer":4},{"info":"compute binary expreesion, left_input=4724, right_input=3072, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3272","layer":3},{"info":"number node, value=4351","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=4351, right_input=1140, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5491","layer":3},{"info":"compute binary expreesion, left_input=3272, right_input=5491, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1393","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=1063, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2786","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1253, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1256","layer":3},{"info":"compute binary expreesion, left_input=2786, right_input=-1256, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1202","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=1256, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', 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":3,"result_base":3,"text":"(⫏≰20110222⩷∴⫏≰11012210⫥∨⫟(⫏≰12222011+⫏≰1120020)/(⫏≰1220121⊉≛↸⫏≰1110101)∀⇚≩(⫏≰1102221⨓⫏≰1201102))⨪↰⇹(-(⫏≰1122112⫥∨⫟⫏≰1201112⨁⊸⫻))=NaN","reverse_text":"NaN=(⫏≰20110222⩷∴⫏≰11012210⫥∨⫟(⫏≰12222011+⫏≰1120020)/(⫏≰1220121⊉≛↸⫏≰1110101)∀⇚≩(⫏≰1102221⨓⫏≰1201102))⨪↰⇹(-(⫏≰1122112⫥∨⫟⫏≰1201112⨁⊸⫻))","cot":[{"info":"⫏≰20110222⩷∴⫏≰11012210=⫏≰11111012","layer":3},{"info":"⫏≰12222011+⫏≰1120020=⫏≰21112101","layer":3},{"info":"⫏≰11111012⫥∨⫟⫏≰21112101=NaN","layer":2},{"info":"⫏≰1220121⊉≛↸⫏≰1110101=⫏≰10211012","layer":3},{"info":"⫏≰1102221⨓⫏≰1201102=⫏≰-1201112","layer":3},{"info":"⫏≰10211012∀⇚≩⫏≰-1201112=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⫏≰1122112⫥∨⫟⫏≰1201112=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":744,"expression_no_base_symbol":"((⩦⩻⨪($9353$⩠))+($1213$⫸⊐$1338$)≎⊠⪸($1287$⋫))⪘⫢((↔(⨈⫕$5399$))⫡⨏$5519$⪢$1862$⊭↱$7615$⨰$2124$)","expression":"((⩦⩻⨪(⫏≰110211102⩠))+(⫏≰1122221⫸⊐⫏≰1211120)≎⊠⪸(⫏≰1202200⋫))⪘⫢((↔(⨈⫕⫏≰21101222))⫡⨏⫏≰21120102⪢⫏≰2112222⊭↱⫏≰101110001⨰⫏≰2220200)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13328,"operation_count":13,"complexity_ratio":1025.2307692307693,"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":9353,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1213,"base":3},"right_expr":{"type":"numeric_atoms","value":1338,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1287,"base":3}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5399,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5519,"base":3},"right_expr":{"type":"numeric_atoms","value":1862,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7615,"base":3},"right_expr":{"type":"numeric_atoms","value":2124,"base":3}}}}},"used_operators":["oacrs7FA3X","W4YGzv6Whe","2td37pGCOC","sJAwomhLZr","bJkvcejdHO","mqXw5SEYmG","JL8yIekQnl","QMFrweE19q","ruOEQAzv1W","megm06wKyl","COABgblf1C","dWAJyo7jo9","eewbuw0ToL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9353","layer":4},{"info":"compute unary expreesion, input=9353, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1213","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=1338, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5227","layer":3},{"info":"number node, value=1287","layer":4},{"info":"compute unary expreesion, input=1287, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1287","layer":3},{"info":"compute binary expreesion, left_input=5227, right_input=1287, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1353320","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1353320, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1353320","layer":1},{"info":"number node, value=5399","layer":4},{"info":"compute unary expreesion, input=5399, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=831","layer":2},{"info":"number node, value=5519","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=5519, right_input=1862, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=7615","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=7615, right_input=2124, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5501","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5501, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=831, 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=1353320, 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":3,"result_base":3,"text":"((⩦⩻⨪(⫏≰110211102⩠))+(⫏≰1122221⫸⊐⫏≰1211120)≎⊠⪸(⫏≰1202200⋫))⪘⫢((↔(⨈⫕⫏≰21101222))⫡⨏⫏≰21120102⪢⫏≰2112222⊭↱⫏≰101110001⨰⫏≰2220200)=NaN","reverse_text":"NaN=((⩦⩻⨪(⫏≰110211102⩠))+(⫏≰1122221⫸⊐⫏≰1211120)≎⊠⪸(⫏≰1202200⋫))⪘⫢((↔(⨈⫕⫏≰21101222))⫡⨏⫏≰21120102⪢⫏≰2112222⊭↱⫏≰101110001⨰⫏≰2220200)","cot":[{"info":"⫏≰110211102⩠=⫏≰0","layer":3},{"info":"⩦⩻⨪⫏≰0=⫏≰0","layer":2},{"info":"⫏≰1122221⫸⊐⫏≰1211120=⫏≰21011121","layer":3},{"info":"⫏≰1202200⋫=⫏≰1202200","layer":3},{"info":"⫏≰21011121≎⊠⪸⫏≰1202200=⫏≰2112202101222","layer":2},{"info":"⫏≰0+⫏≰2112202101222=⫏≰2112202101222","layer":1},{"info":"⨈⫕⫏≰21101222=⫏≰-210","layer":3},{"info":"↔⫏≰-210=⫏≰1010210","layer":2},{"info":"⫏≰21120102⪢⫏≰2112222=NaN","layer":3},{"info":"⫏≰101110001⨰⫏≰2220200=⫏≰21112202","layer":3},{"info":"NaN⊭↱⫏≰21112202=NaN","layer":2},{"info":"⫏≰1010210⫡⨏NaN=NaN","layer":1},{"info":"⫏≰2112202101222⪘⫢NaN=NaN","layer":0}]}
{"id":745,"expression_no_base_symbol":"(⫓⪴($2064$↬$1083$≦≮≮))⨐⩸⫘($1608$⊭↱$3895$⪨≂$1762$⫥∨⫟$6657$)∑⇟⊟(⫛⫱⨽$1228$)⪘⫢$4595$↬$6379$","expression":"(⫓⪴(⫏≰2211110↬⫏≰1111010≦≮≮))⨐⩸⫘(⫏≰2012120⊭↱⫏≰12100021⪨≂⫏≰2102021⫥∨⫟⫏≰100010120)∑⇟⊟(⫛⫱⨽⫏≰1200111)⪘⫢⫏≰20022012↬⫏≰22202021","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1604,"operation_count":11,"complexity_ratio":145.8181818181818,"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":2064,"base":3},"right_expr":{"type":"numeric_atoms","value":1083,"base":3}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1608,"base":3},"right_expr":{"type":"numeric_atoms","value":3895,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1762,"base":3},"right_expr":{"type":"numeric_atoms","value":6657,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1228,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4595,"base":3},"right_expr":{"type":"numeric_atoms","value":6379,"base":3}}}}},"used_operators":["fu6greOZ01","eLxqMNBOBk","D4vGDi5EA2","B5M0gjZbta","U7g4x0WXJJ","sdazOOVcIp","COABgblf1C","KYD54nUTWz","oacrs7FA3X","DlLNRPXxWL"],"dependent_operators":["3ViojmjbAp","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2064","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=2064, right_input=1083, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(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=1608","layer":4},{"info":"number node, value=3895","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=3895, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4579","layer":3},{"info":"number node, value=1762","layer":4},{"info":"number node, value=6657","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=6657, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4579, 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=1228","layer":4},{"info":"compute unary expreesion, input=1228, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=4595","layer":4},{"info":"number node, value=6379","layer":4},{"info":"compute binary expreesion, left_input=4595, right_input=6379, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":3,"result_base":3,"text":"(⫓⪴(⫏≰2211110↬⫏≰1111010≦≮≮))⨐⩸⫘(⫏≰2012120⊭↱⫏≰12100021⪨≂⫏≰2102021⫥∨⫟⫏≰100010120)∑⇟⊟(⫛⫱⨽⫏≰1200111)⪘⫢⫏≰20022012↬⫏≰22202021=NaN","reverse_text":"NaN=(⫓⪴(⫏≰2211110↬⫏≰1111010≦≮≮))⨐⩸⫘(⫏≰2012120⊭↱⫏≰12100021⪨≂⫏≰2102021⫥∨⫟⫏≰100010120)∑⇟⊟(⫛⫱⨽⫏≰1200111)⪘⫢⫏≰20022012↬⫏≰22202021","cot":[{"info":"⫏≰2211110↬⫏≰1111010=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⫏≰2012120⊭↱⫏≰12100021=⫏≰20021121","layer":3},{"info":"⫏≰2102021⫥∨⫟⫏≰100010120=NaN","layer":3},{"info":"⫏≰20021121⪨≂NaN=NaN","layer":2},{"info":"⫛⫱⨽⫏≰1200111=⫏≰0","layer":3},{"info":"⫏≰20022012↬⫏≰22202021=NaN","layer":3},{"info":"⫏≰0⪘⫢NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":746,"expression_no_base_symbol":"(≦∁(∂$1919$)∼($2188$⋝⋈⪟$1970$))⪮%⊝(⊄⩳↩(($3769$+$6238$)≋⫹))","expression":"(≦∁(∂⫏≰2122002)∼(⫏≰10000001⋝⋈⪟⫏≰2200222))⪮%⊝(⊄⩳↩((⫏≰12011121+⫏≰22120001)≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24,"operation_count":8,"complexity_ratio":3.0,"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":1919,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2188,"base":3},"right_expr":{"type":"numeric_atoms","value":1970,"base":3}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3769,"base":3},"right_expr":{"type":"numeric_atoms","value":6238,"base":3}}}}},"used_operators":["IWmyXbctLI","9ICcGScMcE","DyGG3AbaNP","Uaa54Peajs","2DDjHMKMc0","8w2t5hMYqp","N41Kp7NANJ","W4YGzv6Whe"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1919","layer":4},{"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":3},{"info":"number node, value=2188","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=1970, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2188","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2188, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"number node, value=3769","layer":4},{"info":"number node, value=6238","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=6238, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10007","layer":3},{"info":"compute unary expreesion, input=10007, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-20014","layer":2},{"info":"compute unary expreesion, input=-20014, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=60042","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=60042, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≦∁(∂⫏≰2122002)∼(⫏≰10000001⋝⋈⪟⫏≰2200222))⪮%⊝(⊄⩳↩((⫏≰12011121+⫏≰22120001)≋⫹))=NaN","reverse_text":"NaN=(≦∁(∂⫏≰2122002)∼(⫏≰10000001⋝⋈⪟⫏≰2200222))⪮%⊝(⊄⩳↩((⫏≰12011121+⫏≰22120001)≋⫹))","cot":[{"info":"∂⫏≰2122002=NaN","layer":3},{"info":"⫏≰10000001⋝⋈⪟⫏≰2200222=⫏≰10000001","layer":3},{"info":"NaN∼⫏≰10000001=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⫏≰12011121+⫏≰22120001=⫏≰111201122","layer":3},{"info":"⫏≰111201122≋⫹=⫏≰-1000110021","layer":2},{"info":"⊄⩳↩⫏≰-1000110021=⫏≰10001100210","layer":1},{"info":"NaN⪮%⊝⫏≰10001100210=NaN","layer":0}]}
{"id":747,"expression_no_base_symbol":"($7310$⇷$1392$⊭↱$7602$⨰$1428$)∼($1224$↺$1843$)⨟⋌⩍($1611$↬$5795$)⨵⪆((⨈⫕$4979$)⊘)⨟⋌⩍($5132$⨎$6007$⊉≛↸($5228$*$3300$))","expression":"(⫏≰101000202⇷⫏≰1220120⊭↱⫏≰101102120⨰⫏≰1221220)∼(⫏≰1200100↺⫏≰2112021)⨟⋌⩍(⫏≰2012200↬⫏≰21221122)⨵⪆((⨈⫕⫏≰20211102)⊘)⨟⋌⩍(⫏≰21001002⨎⫏≰22020111⊉≛↸(⫏≰21011122*⫏≰11112020))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":106210,"operation_count":14,"complexity_ratio":7586.428571428572,"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":7310,"base":3},"right_expr":{"type":"numeric_atoms","value":1392,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7602,"base":3},"right_expr":{"type":"numeric_atoms","value":1428,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1224,"base":3},"right_expr":{"type":"numeric_atoms","value":1843,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1611,"base":3},"right_expr":{"type":"numeric_atoms","value":5795,"base":3}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4979,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5132,"base":3},"right_expr":{"type":"numeric_atoms","value":6007,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5228,"base":3},"right_expr":{"type":"numeric_atoms","value":3300,"base":3}}}}},"used_operators":["2DQ55sFlQl","DyGG3AbaNP","COABgblf1C","mp7IySMOzn","eewbuw0ToL","rGHVDoGpnC","7j4O788W3g","B5M0gjZbta","gu96TGCTMs","megm06wKyl","DZ8iAZOCBD","rJVOvQCfKK","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7310","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=7310, right_input=1392, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2784","layer":3},{"info":"number node, value=7602","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=7602, right_input=1428, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6184","layer":3},{"info":"compute binary expreesion, left_input=2784, right_input=6184, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6805","layer":2},{"info":"number node, value=1224","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=1843, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1843","layer":3},{"info":"number node, value=1611","layer":4},{"info":"number node, value=5795","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=5795, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1843, 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=6805, 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=4979","layer":4},{"info":"compute unary expreesion, input=4979, 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 = 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=5132","layer":4},{"info":"number node, value=6007","layer":4},{"info":"compute binary expreesion, left_input=5132, right_input=6007, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6007","layer":3},{"info":"number node, value=5228","layer":4},{"info":"number node, value=3300","layer":4},{"info":"compute binary expreesion, left_input=5228, right_input=3300, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17252400","layer":3},{"info":"compute binary expreesion, left_input=6007, right_input=17252400, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12014","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=12014, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⫏≰101000202⇷⫏≰1220120⊭↱⫏≰101102120⨰⫏≰1221220)∼(⫏≰1200100↺⫏≰2112021)⨟⋌⩍(⫏≰2012200↬⫏≰21221122)⨵⪆((⨈⫕⫏≰20211102)⊘)⨟⋌⩍(⫏≰21001002⨎⫏≰22020111⊉≛↸(⫏≰21011122*⫏≰11112020))=⫏≰12221","reverse_text":"⫏≰12221=(⫏≰101000202⇷⫏≰1220120⊭↱⫏≰101102120⨰⫏≰1221220)∼(⫏≰1200100↺⫏≰2112021)⨟⋌⩍(⫏≰2012200↬⫏≰21221122)⨵⪆((⨈⫕⫏≰20211102)⊘)⨟⋌⩍(⫏≰21001002⨎⫏≰22020111⊉≛↸(⫏≰21011122*⫏≰11112020))","cot":[{"info":"⫏≰101000202⇷⫏≰1220120=⫏≰10211010","layer":3},{"info":"⫏≰101102120⨰⫏≰1221220=⫏≰22111001","layer":3},{"info":"⫏≰10211010⊭↱⫏≰22111001=⫏≰100100001","layer":2},{"info":"⫏≰1200100↺⫏≰2112021=⫏≰2112021","layer":3},{"info":"⫏≰2012200↬⫏≰21221122=NaN","layer":3},{"info":"⫏≰2112021⨟⋌⩍NaN=NaN","layer":2},{"info":"⫏≰100100001∼NaN=NaN","layer":1},{"info":"⨈⫕⫏≰20211102=⫏≰-210","layer":3},{"info":"⫏≰-210⊘=⫏≰0","layer":2},{"info":"⫏≰21001002⨎⫏≰22020111=⫏≰22020111","layer":3},{"info":"⫏≰21011122*⫏≰11112020=⫏≰1012110111211210","layer":3},{"info":"⫏≰22020111⊉≛↸⫏≰1012110111211210=⫏≰121110222","layer":2},{"info":"⫏≰0⨟⋌⩍⫏≰121110222=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫏≰12221","layer":0}]}
{"id":748,"expression_no_base_symbol":"($3206$≧⫂∧$3820$⨳⩥⨓($6362$⨵⪆$1052$))⪮%⊝(($2805$⇼⇔∾$3665$)⪄(+⊝⨔$1035$))∼(↯⪼(($5934$⨽$7689$)≎⊠⪸($8502$⊭∹↮)))","expression":"(⫏≰11101202≧⫂∧⫏≰12020111⨳⩥⨓(⫏≰22201122⨵⪆⫏≰1102222))⪮%⊝((⫏≰10211220⇼⇔∾⫏≰12000202)⪄(+⊝⨔⫏≰1102100))∼(↯⪼((⫏≰22010210⨽⫏≰101112210)≎⊠⪸(⫏≰102122220⊭∹↮)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6624,"operation_count":12,"complexity_ratio":552.0,"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":3206,"base":3},"right_expr":{"type":"numeric_atoms","value":3820,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6362,"base":3},"right_expr":{"type":"numeric_atoms","value":1052,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2805,"base":3},"right_expr":{"type":"numeric_atoms","value":3665,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1035,"base":3}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5934,"base":3},"right_expr":{"type":"numeric_atoms","value":7689,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":8502,"base":3}}}}},"used_operators":["DyGG3AbaNP","IWmyXbctLI","nCS4ZIUYfx","Ph9nP6C5qx","2DQ55sFlQl","SUmda5xLS4","tifHPKVTfV","DhbWaqg5eL","8jW3W4yZS5","bJkvcejdHO","8HhzD0ZcuI","xNBdhnnwKq"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3206","layer":4},{"info":"number node, value=3820","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=3820, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3347","layer":3},{"info":"number node, value=6362","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=6362, right_input=1052, 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=3347, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3187","layer":2},{"info":"number node, value=2805","layer":4},{"info":"number node, value=3665","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=3665, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=860","layer":3},{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, 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=860, right_input=1522, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-129457","layer":2},{"info":"compute binary expreesion, left_input=-3187, right_input=-129457, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-6058","layer":1},{"info":"number node, value=5934","layer":4},{"info":"number node, value=7689","layer":4},{"info":"compute binary expreesion, left_input=5934, right_input=7689, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-105658821","layer":3},{"info":"number node, value=8502","layer":4},{"info":"compute unary expreesion, input=8502, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=17004","layer":3},{"info":"compute binary expreesion, left_input=-105658821, right_input=17004, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, 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=-6058, 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":3,"result_base":3,"text":"(⫏≰11101202≧⫂∧⫏≰12020111⨳⩥⨓(⫏≰22201122⨵⪆⫏≰1102222))⪮%⊝((⫏≰10211220⇼⇔∾⫏≰12000202)⪄(+⊝⨔⫏≰1102100))∼(↯⪼((⫏≰22010210⨽⫏≰101112210)≎⊠⪸(⫏≰102122220⊭∹↮)))=⫏≰0","reverse_text":"⫏≰0=(⫏≰11101202≧⫂∧⫏≰12020111⨳⩥⨓(⫏≰22201122⨵⪆⫏≰1102222))⪮%⊝((⫏≰10211220⇼⇔∾⫏≰12000202)⪄(+⊝⨔⫏≰1102100))∼(↯⪼((⫏≰22010210⨽⫏≰101112210)≎⊠⪸(⫏≰102122220⊭∹↮)))","cot":[{"info":"⫏≰11101202≧⫂∧⫏≰12020111=⫏≰11120222","layer":3},{"info":"⫏≰22201122⨵⪆⫏≰1102222=⫏≰12221","layer":3},{"info":"⫏≰11120222⨳⩥⨓⫏≰12221=⫏≰-11101001","layer":2},{"info":"⫏≰10211220⇼⇔∾⫏≰12000202=⫏≰1011212","layer":3},{"info":"+⊝⨔⫏≰1102100=⫏≰2002101","layer":3},{"info":"⫏≰1011212⪄⫏≰2002101=⫏≰-20120120201","layer":2},{"info":"⫏≰-11101001⪮%⊝⫏≰-20120120201=⫏≰-22022101","layer":1},{"info":"⫏≰22010210⨽⫏≰101112210=⫏≰-21100211000122200","layer":3},{"info":"⫏≰102122220⊭∹↮=⫏≰212022210","layer":3},{"info":"⫏≰-21100211000122200≎⊠⪸⫏≰212022210=Inf","layer":2},{"info":"↯⪼Inf=⫏≰-210","layer":1},{"info":"⫏≰-22022101∼⫏≰-210=⫏≰0","layer":0}]}
{"id":749,"expression_no_base_symbol":"(↔(($2841$*$1717$)⨪↰⇹$2774$⨪↰⇹$4905$))⫸⊐(($6250$≋⫹)⫸⊐(↔$2317$)*($3925$↛⩡⫤)⨳⩥⨓(⊄⩳↩$6595$))","expression":"(↔((⫏≰10220020*⫏≰2100121)⨪↰⇹⫏≰10210202⨪↰⇹⫏≰20201200))⫸⊐((⫏≰22120111≋⫹)⫸⊐(↔⫏≰10011211)*(⫏≰12101101↛⩡⫤)⨳⩥⨓(⊄⩳↩⫏≰100001021))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":17415,"operation_count":12,"complexity_ratio":1451.25,"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":2841,"base":3},"right_expr":{"type":"numeric_atoms","value":1717,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2774,"base":3},"right_expr":{"type":"numeric_atoms","value":4905,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6250,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2317,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3925,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6595,"base":3}}}}},"used_operators":["mqXw5SEYmG","ruOEQAzv1W","tmPS8pqC7x","9HNa5Wba9A","N41Kp7NANJ","nCS4ZIUYfx","FU0Cs4j7VP","8w2t5hMYqp"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰110222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2841","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=2841, right_input=1717, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4877997","layer":3},{"info":"number node, value=2774","layer":4},{"info":"number node, value=4905","layer":4},{"info":"compute binary expreesion, left_input=2774, right_input=4905, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2774","layer":3},{"info":"compute binary expreesion, left_input=4877997, right_input=2774, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=6250","layer":4},{"info":"compute unary expreesion, input=6250, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12500","layer":3},{"info":"number node, value=2317","layer":4},{"info":"compute unary expreesion, input=2317, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2044","layer":3},{"info":"compute binary expreesion, left_input=-12500, right_input=-2044, 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=3925","layer":4},{"info":"compute unary expreesion, input=3925, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-588764","layer":3},{"info":"number node, value=6595","layer":4},{"info":"compute unary expreesion, input=6595, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-19785","layer":3},{"info":"compute binary expreesion, left_input=-588764, right_input=-19785, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=568979","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=568979, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=550771672","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=550771672, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=350","layer":0}],"base":3,"result_base":3,"text":"(↔((⫏≰10220020*⫏≰2100121)⨪↰⇹⫏≰10210202⨪↰⇹⫏≰20201200))⫸⊐((⫏≰22120111≋⫹)⫸⊐(↔⫏≰10011211)*(⫏≰12101101↛⩡⫤)⨳⩥⨓(⊄⩳↩⫏≰100001021))=⫏≰110222","reverse_text":"⫏≰110222=(↔((⫏≰10220020*⫏≰2100121)⨪↰⇹⫏≰10210202⨪↰⇹⫏≰20201200))⫸⊐((⫏≰22120111≋⫹)⫸⊐(↔⫏≰10011211)*(⫏≰12101101↛⩡⫤)⨳⩥⨓(⊄⩳↩⫏≰100001021))","cot":[{"info":"⫏≰10220020*⫏≰2100121=⫏≰100011211100120","layer":3},{"info":"⫏≰10210202⨪↰⇹⫏≰20201200=⫏≰10210202","layer":3},{"info":"⫏≰100011211100120⨪↰⇹⫏≰10210202=NaN","layer":2},{"info":"↔NaN=⫏≰-11222","layer":1},{"info":"⫏≰22120111≋⫹=⫏≰-122010222","layer":3},{"info":"↔⫏≰10011211=⫏≰-2210201","layer":3},{"info":"⫏≰-122010222⫸⊐⫏≰-2210201=⫏≰1022212","layer":2},{"info":"⫏≰12101101↛⩡⫤=⫏≰-1002220122002","layer":3},{"info":"⊄⩳↩⫏≰100001021=⫏≰-1000010210","layer":3},{"info":"⫏≰-1002220122002⨳⩥⨓⫏≰-1000010210=⫏≰1001220111022","layer":2},{"info":"⫏≰1022212*⫏≰1001220111022=⫏≰1102101101002200211","layer":1},{"info":"⫏≰-11222⫸⊐⫏≰1102101101002200211=⫏≰110222","layer":0}]}
{"id":750,"expression_no_base_symbol":"((⨞⊢$2636$⨎$1064$)⇷(↽≂$2736$)∀⇚≩$1727$⨟⋌⩍$1040$)∀⇚≩(⋗⩬⋾((≉$1596$)↺$2947$⨎$5982$))","expression":"((⨞⊢⫏≰10121122⨎⫏≰1110102)⇷(↽≂⫏≰10202100)∀⇚≩⫏≰2100222⨟⋌⩍⫏≰1102112)∀⇚≩(⋗⩬⋾((≉⫏≰2012010)↺⫏≰11001011⨎⫏≰22012120))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":55658,"operation_count":11,"complexity_ratio":5059.818181818182,"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":2636,"base":3},"right_expr":{"type":"numeric_atoms","value":1064,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2736,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1727,"base":3},"right_expr":{"type":"numeric_atoms","value":1040,"base":3}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1596,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2947,"base":3},"right_expr":{"type":"numeric_atoms","value":5982,"base":3}}}}},"used_operators":["LRNGc0VcxI","mp7IySMOzn","xUOZtlo3hN","rJVOvQCfKK","u6S6b8DprG","rGHVDoGpnC","DpFCA1CohY","7j4O788W3g","e1ybzncUwg"],"dependent_operators":["X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2636","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=2636, right_input=1064, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1064","layer":3},{"info":"compute unary expreesion, input=1064, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1238","layer":2},{"info":"number node, value=2736","layer":4},{"info":"compute unary expreesion, input=2736, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5472","layer":3},{"info":"number node, value=1727","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=1040, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-5472, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1238, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1596","layer":4},{"info":"compute unary expreesion, input=1596, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2127","layer":3},{"info":"number node, value=2947","layer":4},{"info":"number node, value=5982","layer":4},{"info":"compute binary expreesion, left_input=2947, right_input=5982, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5982","layer":3},{"info":"compute binary expreesion, left_input=2127, right_input=5982, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5982","layer":2},{"info":"compute unary expreesion, input=5982, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17946","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-17946, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":3,"result_base":3,"text":"((⨞⊢⫏≰10121122⨎⫏≰1110102)⇷(↽≂⫏≰10202100)∀⇚≩⫏≰2100222⨟⋌⩍⫏≰1102112)∀⇚≩(⋗⩬⋾((≉⫏≰2012010)↺⫏≰11001011⨎⫏≰22012120))=NaN","reverse_text":"NaN=((⨞⊢⫏≰10121122⨎⫏≰1110102)⇷(↽≂⫏≰10202100)∀⇚≩⫏≰2100222⨟⋌⩍⫏≰1102112)∀⇚≩(⋗⩬⋾((≉⫏≰2012010)↺⫏≰11001011⨎⫏≰22012120))","cot":[{"info":"⫏≰10121122⨎⫏≰1110102=⫏≰1110102","layer":3},{"info":"⨞⊢⫏≰1110102=⫏≰-1200212","layer":2},{"info":"↽≂⫏≰10202100=⫏≰-21111200","layer":3},{"info":"⫏≰2100222⨟⋌⩍⫏≰1102112=NaN","layer":3},{"info":"⫏≰-21111200∀⇚≩NaN=NaN","layer":2},{"info":"⫏≰-1200212⇷NaN=NaN","layer":1},{"info":"≉⫏≰2012010=⫏≰2220210","layer":3},{"info":"⫏≰11001011⨎⫏≰22012120=⫏≰22012120","layer":3},{"info":"⫏≰2220210↺⫏≰22012120=⫏≰22012120","layer":2},{"info":"⋗⩬⋾⫏≰22012120=⫏≰-220121200","layer":1},{"info":"NaN∀⇚≩⫏≰-220121200=NaN","layer":0}]}
{"id":751,"expression_no_base_symbol":"(($1230$⋳⪒$2522$∲⫓$2676$⨳⩥⨓$2981$)-($1405$⨽$1575$⋷$1960$≹⇙⪍$1674$))≧⫂∧((($1884$⫸⊐$1812$)⩷∴($2516$∸))∸)","expression":"((⫏≰1200120⋳⪒⫏≰10110102∲⫓⫏≰10200010⨳⩥⨓⫏≰11002102)-(⫏≰1221001⨽⫏≰2011100⋷⫏≰2200121≹⇙⪍⫏≰2022000))≧⫂∧(((⫏≰2120210⫸⊐⫏≰2111010)⩷∴(⫏≰10110012∸))∸)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1814,"operation_count":12,"complexity_ratio":151.16666666666666,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1230,"base":3},"right_expr":{"type":"numeric_atoms","value":2522,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2676,"base":3},"right_expr":{"type":"numeric_atoms","value":2981,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1405,"base":3},"right_expr":{"type":"numeric_atoms","value":1575,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1960,"base":3},"right_expr":{"type":"numeric_atoms","value":1674,"base":3}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1884,"base":3},"right_expr":{"type":"numeric_atoms","value":1812,"base":3}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2516,"base":3}}}}},"used_operators":["Ph9nP6C5qx","rysDP5nf3Z","i8ToyICDmI","12rbrZMWeM","nCS4ZIUYfx","23Mk6UjR3U","8HhzD0ZcuI","AHs5Up7iyr","o20kRiQErp","9FxExcQeMw","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","tmPS8pqC7x","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫏≰-101222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1230","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=2522, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-349","layer":3},{"info":"number node, value=2676","layer":4},{"info":"number node, value=2981","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=2981, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=305","layer":3},{"info":"compute binary expreesion, left_input=-349, right_input=305, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-349","layer":2},{"info":"number node, value=1405","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=1575, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5925486","layer":3},{"info":"number node, value=1960","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=1674, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-5925486, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11850972","layer":2},{"info":"compute binary expreesion, left_input=-349, right_input=11850972, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-11851321","layer":1},{"info":"number node, value=1884","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=1812, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7123","layer":3},{"info":"number node, value=2516","layer":4},{"info":"compute unary expreesion, input=2516, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=7123, right_input=177, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=13860","layer":2},{"info":"compute unary expreesion, input=13860, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-11851321, right_input=177, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-296","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1200120⋳⪒⫏≰10110102∲⫓⫏≰10200010⨳⩥⨓⫏≰11002102)-(⫏≰1221001⨽⫏≰2011100⋷⫏≰2200121≹⇙⪍⫏≰2022000))≧⫂∧(((⫏≰2120210⫸⊐⫏≰2111010)⩷∴(⫏≰10110012∸))∸)=⫏≰-101222","reverse_text":"⫏≰-101222=((⫏≰1200120⋳⪒⫏≰10110102∲⫓⫏≰10200010⨳⩥⨓⫏≰11002102)-(⫏≰1221001⨽⫏≰2011100⋷⫏≰2200121≹⇙⪍⫏≰2022000))≧⫂∧(((⫏≰2120210⫸⊐⫏≰2111010)⩷∴(⫏≰10110012∸))∸)","cot":[{"info":"⫏≰1200120⋳⪒⫏≰10110102=⫏≰-110221","layer":3},{"info":"⫏≰10200010⨳⩥⨓⫏≰11002102=⫏≰102022","layer":3},{"info":"⫏≰-110221∲⫓⫏≰102022=⫏≰-110221","layer":2},{"info":"⫏≰1221001⨽⫏≰2011100=⫏≰-102011001020110","layer":3},{"info":"⫏≰2200121≹⇙⪍⫏≰2022000=NaN","layer":3},{"info":"⫏≰-102011001020110⋷NaN=⫏≰211022002110220","layer":2},{"info":"⫏≰-110221-⫏≰211022002110220=⫏≰-211022002221211","layer":1},{"info":"⫏≰2120210⫸⊐⫏≰2111010=⫏≰100202211","layer":3},{"info":"⫏≰10110012∸=⫏≰20120","layer":3},{"info":"⫏≰100202211⩷∴⫏≰20120=⫏≰201000100","layer":2},{"info":"⫏≰201000100∸=⫏≰20120","layer":1},{"info":"⫏≰-211022002221211≧⫂∧⫏≰20120=⫏≰-101222","layer":0}]}
{"id":752,"expression_no_base_symbol":"($7055$⨰$1531$⊭↱($2787$+$3362$)⩨($6124$↬$1240$/$2385$⨐⩸⫘$3523$))⋓((↩($1341$+$1184$))⪨≂(⋗⩬⋾$3948$)-$2836$⩨$1341$)","expression":"(⫏≰100200022⨰⫏≰2002201⊭↱(⫏≰10211020+⫏≰11121112)⩨(⫏≰22101211↬⫏≰1200221/⫏≰10021100⨐⩸⫘⫏≰11211111))⋓((↩(⫏≰1211200+⫏≰1121212))⪨≂(⋗⩬⋾⫏≰12102020)-⫏≰10220001⩨⫏≰1211200)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":63,"operation_count":14,"complexity_ratio":4.5,"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":7055,"base":3},"right_expr":{"type":"numeric_atoms","value":1531,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2787,"base":3},"right_expr":{"type":"numeric_atoms","value":3362,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6124,"base":3},"right_expr":{"type":"numeric_atoms","value":1240,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2385,"base":3},"right_expr":{"type":"numeric_atoms","value":3523,"base":3}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1341,"base":3},"right_expr":{"type":"numeric_atoms","value":1184,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3948,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2836,"base":3},"right_expr":{"type":"numeric_atoms","value":1341,"base":3}}}}},"used_operators":["T2fj7uvVaJ","2DlMacCsIx","COABgblf1C","eewbuw0ToL","W4YGzv6Whe","XhwjNDsVaA","B5M0gjZbta","fu6greOZ01","sdazOOVcIp","jLgFTUHLKL","rysDP5nf3Z","DpFCA1CohY"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7055","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=7055, right_input=1531, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5534","layer":3},{"info":"number node, value=2787","layer":4},{"info":"number node, value=3362","layer":4},{"info":"compute binary expreesion, left_input=2787, right_input=3362, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6149","layer":3},{"info":"compute binary expreesion, left_input=5534, right_input=6149, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1235","layer":2},{"info":"number node, value=6124","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=6124, right_input=1240, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2385","layer":4},{"info":"number node, value=3523","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=3523, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1235, 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=1341","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1184, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2525","layer":3},{"info":"compute unary expreesion, input=2525, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-17420","layer":2},{"info":"number node, value=3948","layer":4},{"info":"compute unary expreesion, input=3948, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11844","layer":3},{"info":"number node, value=2836","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=2836, right_input=1341, 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=-11844, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-11844","layer":2},{"info":"compute binary expreesion, left_input=-17420, right_input=-11844, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-11050","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-11050, op_id = T2fj7uvVaJ 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":3,"result_base":3,"text":"(⫏≰100200022⨰⫏≰2002201⊭↱(⫏≰10211020+⫏≰11121112)⩨(⫏≰22101211↬⫏≰1200221/⫏≰10021100⨐⩸⫘⫏≰11211111))⋓((↩(⫏≰1211200+⫏≰1121212))⪨≂(⋗⩬⋾⫏≰12102020)-⫏≰10220001⩨⫏≰1211200)=⫏≰0","reverse_text":"⫏≰0=(⫏≰100200022⨰⫏≰2002201⊭↱(⫏≰10211020+⫏≰11121112)⩨(⫏≰22101211↬⫏≰1200221/⫏≰10021100⨐⩸⫘⫏≰11211111))⋓((↩(⫏≰1211200+⫏≰1121212))⪨≂(⋗⩬⋾⫏≰12102020)-⫏≰10220001⩨⫏≰1211200)","cot":[{"info":"⫏≰100200022⨰⫏≰2002201=⫏≰21120222","layer":3},{"info":"⫏≰10211020+⫏≰11121112=⫏≰22102202","layer":3},{"info":"⫏≰21120222⊭↱⫏≰22102202=⫏≰1200202","layer":2},{"info":"⫏≰22101211↬⫏≰1200221=NaN","layer":3},{"info":"⫏≰10021100⨐⩸⫘⫏≰11211111=NaN","layer":3},{"info":"NaN/NaN=NaN","layer":2},{"info":"⫏≰1200202⩨NaN=NaN","layer":1},{"info":"⫏≰1211200+⫏≰1121212=⫏≰10110112","layer":3},{"info":"↩⫏≰10110112=⫏≰-212220012","layer":2},{"info":"⋗⩬⋾⫏≰12102020=⫏≰-121020200","layer":3},{"info":"⫏≰10220001⩨⫏≰1211200=⫏≰0","layer":3},{"info":"⫏≰-121020200-⫏≰0=⫏≰-121020200","layer":2},{"info":"⫏≰-212220012⪨≂⫏≰-121020200=⫏≰-120011021","layer":1},{"info":"NaN⋓⫏≰-120011021=⫏≰0","layer":0}]}
{"id":753,"expression_no_base_symbol":"(↽≂($4231$*$4179$))⊴($4595$∼$6246$⨵⪆($7953$⋫))⨰((($1054$⋫)⫸⊐(≤/$3480$))⋥≓≎($1546$↺$5996$)≧⫂∧($6455$⫡⨏$1214$))","expression":"(↽≂(⫏≰12210201*⫏≰12201210))⊴(⫏≰20022012∼⫏≰22120100⨵⪆(⫏≰101220120⋫))⨰(((⫏≰1110001⋫)⫸⊐(≤/⫏≰11202220))⋥≓≎(⫏≰2010021↺⫏≰22020002)≧⫂∧(⫏≰22212002⫡⨏⫏≰1122222))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4367804,"operation_count":14,"complexity_ratio":311986.0,"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":4231,"base":3},"right_expr":{"type":"numeric_atoms","value":4179,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4595,"base":3},"right_expr":{"type":"numeric_atoms","value":6246,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":7953,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1054,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3480,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1546,"base":3},"right_expr":{"type":"numeric_atoms","value":5996,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6455,"base":3},"right_expr":{"type":"numeric_atoms","value":1214,"base":3}}}}},"used_operators":["eewbuw0ToL","Nsiff2A1zJ","u6S6b8DprG","9HNa5Wba9A","2DQ55sFlQl","DyGG3AbaNP","JL8yIekQnl","Qy55tPpLXF","mqXw5SEYmG","eLAdDNolq6","Ph9nP6C5qx","7j4O788W3g","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4231","layer":4},{"info":"number node, value=4179","layer":4},{"info":"compute binary expreesion, left_input=4231, right_input=4179, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17681349","layer":3},{"info":"compute unary expreesion, input=17681349, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-35362698","layer":2},{"info":"number node, value=4595","layer":4},{"info":"number node, value=6246","layer":4},{"info":"compute binary expreesion, left_input=4595, right_input=6246, 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=7953","layer":4},{"info":"compute unary expreesion, input=7953, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7953","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7953, 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=-35362698, right_input=160, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1054","layer":3},{"info":"number node, value=3480","layer":4},{"info":"compute unary expreesion, input=3480, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2996","layer":3},{"info":"compute binary expreesion, left_input=1054, right_input=-2996, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-6121","layer":2},{"info":"number node, value=1546","layer":4},{"info":"number node, value=5996","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=5996, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5996","layer":3},{"info":"number node, value=6455","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=6455, right_input=1214, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=35486","layer":3},{"info":"compute binary expreesion, left_input=5996, right_input=35486, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=35013","layer":2},{"info":"compute binary expreesion, left_input=-6121, right_input=35013, 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":3,"result_base":3,"text":"(↽≂(⫏≰12210201*⫏≰12201210))⊴(⫏≰20022012∼⫏≰22120100⨵⪆(⫏≰101220120⋫))⨰(((⫏≰1110001⋫)⫸⊐(≤/⫏≰11202220))⋥≓≎(⫏≰2010021↺⫏≰22020002)≧⫂∧(⫏≰22212002⫡⨏⫏≰1122222))=NaN","reverse_text":"NaN=(↽≂(⫏≰12210201*⫏≰12201210))⊴(⫏≰20022012∼⫏≰22120100⨵⪆(⫏≰101220120⋫))⨰(((⫏≰1110001⋫)⫸⊐(≤/⫏≰11202220))⋥≓≎(⫏≰2010021↺⫏≰22020002)≧⫂∧(⫏≰22212002⫡⨏⫏≰1122222))","cot":[{"info":"⫏≰12210201*⫏≰12201210=⫏≰1020021022020210","layer":3},{"info":"↽≂⫏≰1020021022020210=⫏≰-2110112121111120","layer":2},{"info":"⫏≰20022012∼⫏≰22120100=NaN","layer":3},{"info":"⫏≰101220120⋫=⫏≰101220120","layer":3},{"info":"NaN⨵⪆⫏≰101220120=⫏≰12221","layer":2},{"info":"⫏≰-2110112121111120⊴⫏≰12221=NaN","layer":1},{"info":"⫏≰1110001⋫=⫏≰1110001","layer":3},{"info":"≤/⫏≰11202220=⫏≰-11002222","layer":3},{"info":"⫏≰1110001⫸⊐⫏≰-11002222=⫏≰-22101201","layer":2},{"info":"⫏≰2010021↺⫏≰22020002=⫏≰22020002","layer":3},{"info":"⫏≰22212002⫡⨏⫏≰1122222=⫏≰1210200022","layer":3},{"info":"⫏≰22020002≧⫂∧⫏≰1210200022=⫏≰1210000210","layer":2},{"info":"⫏≰-22101201⋥≓≎⫏≰1210000210=⫏≰2111","layer":1},{"info":"NaN⨰⫏≰2111=NaN","layer":0}]}
{"id":754,"expression_no_base_symbol":"((⊙↵-($6578$⨳⩥⨓$2985$))%(⊥($1970$⋝⋈⪟$1087$)))⇼⇔∾((⊄⩳↩$6738$)⪘⫢($2011$⫡⨏$4065$)⩨$2581$⪘⫢$5289$⨎($1412$⪒$1061$))","expression":"((⊙↵-(⫏≰100000122⨳⩥⨓⫏≰11002120))%(⊥(⫏≰2200222⋝⋈⪟⫏≰1111021)))⇼⇔∾((⊄⩳↩⫏≰100020120)⪘⫢(⫏≰2202111⫡⨏⫏≰12120120)⩨⫏≰10112121⪘⫢⫏≰21020220⨎(⫏≰1221022⪒⫏≰1110022))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6149,"operation_count":13,"complexity_ratio":473.0,"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":6578,"base":3},"right_expr":{"type":"numeric_atoms","value":2985,"base":3}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1970,"base":3},"right_expr":{"type":"numeric_atoms","value":1087,"base":3}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6738,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2011,"base":3},"right_expr":{"type":"numeric_atoms","value":4065,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2581,"base":3},"right_expr":{"type":"numeric_atoms","value":5289,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1412,"base":3},"right_expr":{"type":"numeric_atoms","value":1061,"base":3}}}}},"used_operators":["tifHPKVTfV","k8jYdgA6NY","oWn0xqSxBt","nCS4ZIUYfx","Q3PJZHRvZv","2DDjHMKMc0","2DlMacCsIx","oacrs7FA3X","8w2t5hMYqp","QMFrweE19q","rJVOvQCfKK","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6578","layer":4},{"info":"number node, value=2985","layer":4},{"info":"compute binary expreesion, left_input=6578, right_input=2985, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3593","layer":3},{"info":"compute unary expreesion, input=-3593, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=1970","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=1087, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1970","layer":3},{"info":"compute unary expreesion, input=1970, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6738","layer":4},{"info":"compute unary expreesion, input=6738, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20214","layer":3},{"info":"number node, value=2011","layer":4},{"info":"number node, value=4065","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=4065, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18968","layer":3},{"info":"compute binary expreesion, left_input=-20214, right_input=18968, 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=2581","layer":4},{"info":"number node, value=5289","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=5289, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5038","layer":3},{"info":"number node, value=1412","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=1061, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2473","layer":3},{"info":"compute binary expreesion, left_input=5038, right_input=-2473, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2473","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-2473, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-7419","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7419, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊙↵-(⫏≰100000122⨳⩥⨓⫏≰11002120))%(⊥(⫏≰2200222⋝⋈⪟⫏≰1111021)))⇼⇔∾((⊄⩳↩⫏≰100020120)⪘⫢(⫏≰2202111⫡⨏⫏≰12120120)⩨⫏≰10112121⪘⫢⫏≰21020220⨎(⫏≰1221022⪒⫏≰1110022))=NaN","reverse_text":"NaN=((⊙↵-(⫏≰100000122⨳⩥⨓⫏≰11002120))%(⊥(⫏≰2200222⋝⋈⪟⫏≰1111021)))⇼⇔∾((⊄⩳↩⫏≰100020120)⪘⫢(⫏≰2202111⫡⨏⫏≰12120120)⩨⫏≰10112121⪘⫢⫏≰21020220⨎(⫏≰1221022⪒⫏≰1110022))","cot":[{"info":"⫏≰100000122⨳⩥⨓⫏≰11002120=⫏≰-11221002","layer":3},{"info":"⊙↵-⫏≰-11221002=⫏≰21021","layer":2},{"info":"⫏≰2200222⋝⋈⪟⫏≰1111021=⫏≰2200222","layer":3},{"info":"⊥⫏≰2200222=NaN","layer":2},{"info":"⫏≰21021%NaN=NaN","layer":1},{"info":"⊄⩳↩⫏≰100020120=⫏≰-1000201200","layer":3},{"info":"⫏≰2202111⫡⨏⫏≰12120120=⫏≰222000112","layer":3},{"info":"⫏≰-1000201200⪘⫢⫏≰222000112=⫏≰-1","layer":2},{"info":"⫏≰10112121⪘⫢⫏≰21020220=⫏≰20220121","layer":3},{"info":"⫏≰1221022⪒⫏≰1110022=⫏≰-10101121","layer":3},{"info":"⫏≰20220121⨎⫏≰-10101121=⫏≰-10101121","layer":2},{"info":"⫏≰-1⩨⫏≰-10101121=⫏≰-101011210","layer":1},{"info":"NaN⇼⇔∾⫏≰-101011210=NaN","layer":0}]}
{"id":755,"expression_no_base_symbol":"⪝⪂⫅(⫛⫱⨽($1755$⇷$6384$))⨟⋌⩍($5376$⩤)⊴($5955$⪮%⊝$2954$)","expression":"⪝⪂⫅(⫛⫱⨽(⫏≰2102000⇷⫏≰22202110))⨟⋌⩍(⫏≰21101010⩤)⊴(⫏≰22011120⪮%⊝⫏≰11001102)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":38311,"operation_count":7,"complexity_ratio":5473.0,"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":1755,"base":3},"right_expr":{"type":"numeric_atoms","value":6384,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5376,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5955,"base":3},"right_expr":{"type":"numeric_atoms","value":2954,"base":3}}}}},"used_operators":["XTarYq4gQB","rGHVDoGpnC","DlLNRPXxWL","mp7IySMOzn","Nsiff2A1zJ","Z2TMIBDE3Q","IWmyXbctLI"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","Tcnh7f0tEr","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1755","layer":4},{"info":"number node, value=6384","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=6384, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12768","layer":3},{"info":"compute unary expreesion, input=12768, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=5376","layer":4},{"info":"compute unary expreesion, input=5376, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5376","layer":3},{"info":"number node, value=5955","layer":4},{"info":"number node, value=2954","layer":4},{"info":"compute binary expreesion, left_input=5955, right_input=2954, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12226","layer":3},{"info":"compute binary expreesion, left_input=-5376, right_input=12226, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪝⪂⫅(⫛⫱⨽(⫏≰2102000⇷⫏≰22202110))⨟⋌⩍(⫏≰21101010⩤)⊴(⫏≰22011120⪮%⊝⫏≰11001102)=NaN","reverse_text":"NaN=⪝⪂⫅(⫛⫱⨽(⫏≰2102000⇷⫏≰22202110))⨟⋌⩍(⫏≰21101010⩤)⊴(⫏≰22011120⪮%⊝⫏≰11001102)","cot":[{"info":"⫏≰2102000⇷⫏≰22202110=⫏≰122111220","layer":3},{"info":"⫛⫱⨽⫏≰122111220=⫏≰0","layer":2},{"info":"⫏≰21101010⩤=⫏≰-21101010","layer":3},{"info":"⫏≰22011120⪮%⊝⫏≰11001102=⫏≰121202211","layer":3},{"info":"⫏≰-21101010⊴⫏≰121202211=NaN","layer":2},{"info":"⫏≰0⨟⋌⩍NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":756,"expression_no_base_symbol":"(⫛⫱⨽(($1973$⨐⩸⫘$1188$)⨪↰⇹$1225$≹⇙⪍$1870$))⨳⩥⨓(≤/(+⊝⨔($1390$⋝⋈⪟$1089$)))","expression":"(⫛⫱⨽((⫏≰2201002⨐⩸⫘⫏≰1122000)⨪↰⇹⫏≰1200101≹⇙⪍⫏≰2120021))⨳⩥⨓(≤/(+⊝⨔(⫏≰1220111⋝⋈⪟⫏≰1111100)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":962,"operation_count":8,"complexity_ratio":120.25,"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":1973,"base":3},"right_expr":{"type":"numeric_atoms","value":1188,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1225,"base":3},"right_expr":{"type":"numeric_atoms","value":1870,"base":3}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1390,"base":3},"right_expr":{"type":"numeric_atoms","value":1089,"base":3}}}}},"used_operators":["nCS4ZIUYfx","DlLNRPXxWL","tmPS8pqC7x","fu6greOZ01","AHs5Up7iyr","eLAdDNolq6","DhbWaqg5eL","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","rJVOvQCfKK","3ViojmjbAp","dWAJyo7jo9","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1973","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=1188, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=1870, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=1390","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1089, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1390","layer":3},{"info":"compute unary expreesion, input=1390, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1038","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1038, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫛⫱⨽((⫏≰2201002⨐⩸⫘⫏≰1122000)⨪↰⇹⫏≰1200101≹⇙⪍⫏≰2120021))⨳⩥⨓(≤/(+⊝⨔(⫏≰1220111⋝⋈⪟⫏≰1111100)))=NaN","reverse_text":"NaN=(⫛⫱⨽((⫏≰2201002⨐⩸⫘⫏≰1122000)⨪↰⇹⫏≰1200101≹⇙⪍⫏≰2120021))⨳⩥⨓(≤/(+⊝⨔(⫏≰1220111⋝⋈⪟⫏≰1111100)))","cot":[{"info":"⫏≰2201002⨐⩸⫘⫏≰1122000=NaN","layer":3},{"info":"⫏≰1200101≹⇙⪍⫏≰2120021=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⫏≰1220111⋝⋈⪟⫏≰1111100=⫏≰1220111","layer":3},{"info":"+⊝⨔⫏≰1220111=⫏≰2002101","layer":2},{"info":"≤/⫏≰2002101=⫏≰-1102110","layer":1},{"info":"NaN⨳⩥⨓⫏≰-1102110=NaN","layer":0}]}
{"id":757,"expression_no_base_symbol":"(↯⪼(⩦⩻⨪$6377$))⋝⋈⪟($3395$⇼⇔∾$3987$⪒$7085$⪄$1041$)%($4021$⪮%⊝$6607$⪘⫢$7663$⪮%⊝$1280$⊘)","expression":"(↯⪼(⩦⩻⨪⫏≰22202012))⋝⋈⪟(⫏≰11122202⇼⇔∾⫏≰12110200⪒⫏≰100201102⪄⫏≰1102120)%(⫏≰12111221⪮%⊝⫏≰100001201⪘⫢⫏≰101111211⪮%⊝⫏≰1202102⊘)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":190,"operation_count":11,"complexity_ratio":17.272727272727273,"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":6377,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3395,"base":3},"right_expr":{"type":"numeric_atoms","value":3987,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7085,"base":3},"right_expr":{"type":"numeric_atoms","value":1041,"base":3}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4021,"base":3},"right_expr":{"type":"numeric_atoms","value":6607,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7663,"base":3},"right_expr":{"type":"numeric_atoms","value":1280,"base":3}}}}},"used_operators":["k8jYdgA6NY","2DDjHMKMc0","8jW3W4yZS5","2td37pGCOC","f6k1SAg4EE","tifHPKVTfV","SUmda5xLS4","gu96TGCTMs","oacrs7FA3X","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6377","layer":4},{"info":"compute unary expreesion, input=6377, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6377","layer":3},{"info":"compute unary expreesion, input=6377, 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=3395","layer":4},{"info":"number node, value=3987","layer":4},{"info":"compute binary expreesion, left_input=3395, right_input=3987, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=592","layer":3},{"info":"number node, value=7085","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=7085, right_input=1041, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1048833","layer":3},{"info":"compute binary expreesion, left_input=592, right_input=-1048833, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1048241","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=1048241, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-21","layer":1},{"info":"number node, value=4021","layer":4},{"info":"number node, value=6607","layer":4},{"info":"compute binary expreesion, left_input=4021, right_input=6607, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8358","layer":3},{"info":"number node, value=7663","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=7663, right_input=1280, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15642","layer":3},{"info":"compute binary expreesion, left_input=8358, right_input=15642, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=16592","layer":2},{"info":"compute unary expreesion, input=16592, 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=-21, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↯⪼(⩦⩻⨪⫏≰22202012))⋝⋈⪟(⫏≰11122202⇼⇔∾⫏≰12110200⪒⫏≰100201102⪄⫏≰1102120)%(⫏≰12111221⪮%⊝⫏≰100001201⪘⫢⫏≰101111211⪮%⊝⫏≰1202102⊘)=NaN","reverse_text":"NaN=(↯⪼(⩦⩻⨪⫏≰22202012))⋝⋈⪟(⫏≰11122202⇼⇔∾⫏≰12110200⪒⫏≰100201102⪄⫏≰1102120)%(⫏≰12111221⪮%⊝⫏≰100001201⪘⫢⫏≰101111211⪮%⊝⫏≰1202102⊘)","cot":[{"info":"⩦⩻⨪⫏≰22202012=⫏≰22202012","layer":3},{"info":"↯⪼⫏≰22202012=⫏≰-210","layer":2},{"info":"⫏≰11122202⇼⇔∾⫏≰12110200=⫏≰210221","layer":3},{"info":"⫏≰100201102⪄⫏≰1102120=⫏≰-1222021201200","layer":3},{"info":"⫏≰210221⪒⫏≰-1222021201200=⫏≰1222020220202","layer":2},{"info":"⫏≰-210⋝⋈⪟⫏≰1222020220202=⫏≰-210","layer":1},{"info":"⫏≰12111221⪮%⊝⫏≰100001201=⫏≰102110120","layer":3},{"info":"⫏≰101111211⪮%⊝⫏≰1202102=⫏≰210110100","layer":3},{"info":"⫏≰102110120⪘⫢⫏≰210110100=⫏≰211202112","layer":2},{"info":"⫏≰211202112⊘=⫏≰0","layer":1},{"info":"⫏≰-210%⫏≰0=NaN","layer":0}]}
{"id":758,"expression_no_base_symbol":"((↽≂($1059$-$5943$))⇼⇔∾($2828$+$2895$)⋓(⨞⊢$1064$))⨰(($2652$⊘)∲⫓$7811$≭$1622$)≹⇙⪍(↣≠⋷($1141$⨓$2055$))","expression":"((↽≂(⫏≰1110020-⫏≰22011010))⇼⇔∾(⫏≰10212202+⫏≰10222020)⋓(⨞⊢⫏≰1110102))⨰((⫏≰10122020⊘)∲⫓⫏≰101201022≭⫏≰2020002)≹⇙⪍(↣≠⋷(⫏≰1120021⨓⫏≰2211010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2115,"operation_count":13,"complexity_ratio":162.69230769230768,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1059,"base":3},"right_expr":{"type":"numeric_atoms","value":5943,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2828,"base":3},"right_expr":{"type":"numeric_atoms","value":2895,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1064,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2652,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7811,"base":3},"right_expr":{"type":"numeric_atoms","value":1622,"base":3}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1141,"base":3},"right_expr":{"type":"numeric_atoms","value":2055,"base":3}}}}},"used_operators":["eewbuw0ToL","tifHPKVTfV","u6S6b8DprG","rysDP5nf3Z","T2fj7uvVaJ","W4YGzv6Whe","xUOZtlo3hN","AHs5Up7iyr","i8ToyICDmI","gu96TGCTMs","rxpJgHHUmx","Asc51vEJeQ","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1059","layer":4},{"info":"number node, value=5943","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=5943, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4884","layer":3},{"info":"compute unary expreesion, input=-4884, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=9768","layer":2},{"info":"number node, value=2828","layer":4},{"info":"number node, value=2895","layer":4},{"info":"compute binary expreesion, left_input=2828, right_input=2895, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5723","layer":3},{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1238","layer":3},{"info":"compute binary expreesion, left_input=5723, right_input=-1238, op_id = T2fj7uvVaJ 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=9768, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-9768","layer":1},{"info":"number node, value=2652","layer":4},{"info":"compute unary expreesion, input=2652, 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=7811","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=7811, right_input=1622, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1141","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=2055, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2058","layer":3},{"info":"compute unary expreesion, input=-2058, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-9768, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↽≂(⫏≰1110020-⫏≰22011010))⇼⇔∾(⫏≰10212202+⫏≰10222020)⋓(⨞⊢⫏≰1110102))⨰((⫏≰10122020⊘)∲⫓⫏≰101201022≭⫏≰2020002)≹⇙⪍(↣≠⋷(⫏≰1120021⨓⫏≰2211010))=NaN","reverse_text":"NaN=((↽≂(⫏≰1110020-⫏≰22011010))⇼⇔∾(⫏≰10212202+⫏≰10222020)⋓(⨞⊢⫏≰1110102))⨰((⫏≰10122020⊘)∲⫓⫏≰101201022≭⫏≰2020002)≹⇙⪍(↣≠⋷(⫏≰1120021⨓⫏≰2211010))","cot":[{"info":"⫏≰1110020-⫏≰22011010=⫏≰-20200220","layer":3},{"info":"↽≂⫏≰-20200220=⫏≰111101210","layer":2},{"info":"⫏≰10212202+⫏≰10222020=⫏≰21211222","layer":3},{"info":"⨞⊢⫏≰1110102=⫏≰-1200212","layer":3},{"info":"⫏≰21211222⋓⫏≰-1200212=⫏≰0","layer":2},{"info":"⫏≰111101210⇼⇔∾⫏≰0=⫏≰-111101210","layer":1},{"info":"⫏≰10122020⊘=⫏≰0","layer":3},{"info":"⫏≰101201022≭⫏≰2020002=NaN","layer":3},{"info":"⫏≰0∲⫓NaN=NaN","layer":2},{"info":"⫏≰1120021⨓⫏≰2211010=⫏≰-2211020","layer":3},{"info":"↣≠⋷⫏≰-2211020=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"⫏≰-111101210⨰NaN=NaN","layer":0}]}
{"id":759,"expression_no_base_symbol":"(((⨵≀≌$3168$)⊘)⊪)≧⫂∧($7331$⪮%⊝$6969$⋝⋈⪟(↥$1760$)⋝⋈⪟($4429$⪘⫢$4811$⋳⪒(⊙↵-$2421$)))","expression":"(((⨵≀≌⫏≰11100100)⊘)⊪)≧⫂∧(⫏≰101001112⪮%⊝⫏≰100120010⋝⋈⪟(↥⫏≰2102012)⋝⋈⪟(⫏≰20002001⪘⫢⫏≰20121012⋳⪒(⊙↵-⫏≰10022200)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2576,"operation_count":11,"complexity_ratio":234.1818181818182,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3168,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7331,"base":3},"right_expr":{"type":"numeric_atoms","value":6969,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1760,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4429,"base":3},"right_expr":{"type":"numeric_atoms","value":4811,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2421,"base":3}}}}},"used_operators":["Ph9nP6C5qx","zVYPLywUTj","gu96TGCTMs","srAu1WTS94","2DDjHMKMc0","IWmyXbctLI","A8NUZmVepG","12rbrZMWeM","oacrs7FA3X","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫏≰201220020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3168","layer":4},{"info":"compute unary expreesion, input=3168, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9504","layer":3},{"info":"compute unary expreesion, input=-9504, 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 = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"number node, value=7331","layer":4},{"info":"number node, value=6969","layer":4},{"info":"compute binary expreesion, left_input=7331, right_input=6969, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14978","layer":3},{"info":"number node, value=1760","layer":4},{"info":"compute unary expreesion, input=1760, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=26","layer":3},{"info":"compute binary expreesion, left_input=14978, right_input=26, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=14978","layer":2},{"info":"number node, value=4429","layer":4},{"info":"number node, value=4811","layer":4},{"info":"compute binary expreesion, left_input=4429, right_input=4811, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8734","layer":3},{"info":"number node, value=2421","layer":4},{"info":"compute unary expreesion, input=2421, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=8734, right_input=-1, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=17182","layer":2},{"info":"compute binary expreesion, left_input=14978, right_input=17182, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=14978","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=14978, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=14505","layer":0}],"base":3,"result_base":3,"text":"(((⨵≀≌⫏≰11100100)⊘)⊪)≧⫂∧(⫏≰101001112⪮%⊝⫏≰100120010⋝⋈⪟(↥⫏≰2102012)⋝⋈⪟(⫏≰20002001⪘⫢⫏≰20121012⋳⪒(⊙↵-⫏≰10022200)))=⫏≰201220020","reverse_text":"⫏≰201220020=(((⨵≀≌⫏≰11100100)⊘)⊪)≧⫂∧(⫏≰101001112⪮%⊝⫏≰100120010⋝⋈⪟(↥⫏≰2102012)⋝⋈⪟(⫏≰20002001⪘⫢⫏≰20121012⋳⪒(⊙↵-⫏≰10022200)))","cot":[{"info":"⨵≀≌⫏≰11100100=⫏≰-111001000","layer":3},{"info":"⫏≰-111001000⊘=⫏≰-1","layer":2},{"info":"⫏≰-1⊪=⫏≰0","layer":1},{"info":"⫏≰101001112⪮%⊝⫏≰100120010=⫏≰202112202","layer":3},{"info":"↥⫏≰2102012=⫏≰222","layer":3},{"info":"⫏≰202112202⋝⋈⪟⫏≰222=⫏≰202112202","layer":2},{"info":"⫏≰20002001⪘⫢⫏≰20121012=⫏≰102222111","layer":3},{"info":"⊙↵-⫏≰10022200=⫏≰-1","layer":3},{"info":"⫏≰102222111⋳⪒⫏≰-1=⫏≰212120101","layer":2},{"info":"⫏≰202112202⋝⋈⪟⫏≰212120101=⫏≰202112202","layer":1},{"info":"⫏≰0≧⫂∧⫏≰202112202=⫏≰201220020","layer":0}]}
{"id":760,"expression_no_base_symbol":"((≤/($3027$≋⫹))≭($2437$⫥∨⫟$7644$⊉≛↸$4048$⩷∴$8776$))⪢(((⨑⩽⪐$2199$)⪄$3347$⪮%⊝$5208$)+⇶⊼((⪲⇎$7818$)⨸⪁($5325$⪨≂$1162$)))","expression":"((≤/(⫏≰11011010≋⫹))≭(⫏≰10100021⫥∨⫟⫏≰101111010⊉≛↸⫏≰12112221⩷∴⫏≰110001001))⪢(((⨑⩽⪐⫏≰10000110)⪄⫏≰11120222⪮%⊝⫏≰21010220)+⇶⊼((⪲⇎⫏≰101201120)⨸⪁(⫏≰21022020⪨≂⫏≰1121001)))","highest_n_order":5,"priority_hierarchical_complexity":8,"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":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3027,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2437,"base":3},"right_expr":{"type":"numeric_atoms","value":7644,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4048,"base":3},"right_expr":{"type":"numeric_atoms","value":8776,"base":3}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2199,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3347,"base":3},"right_expr":{"type":"numeric_atoms","value":5208,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":7818,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5325,"base":3},"right_expr":{"type":"numeric_atoms","value":1162,"base":3}}}}},"used_operators":["dWAJyo7jo9","rxpJgHHUmx","eLAdDNolq6","N41Kp7NANJ","DZ8iAZOCBD","KYD54nUTWz","9FxExcQeMw","TpPTUOHfaN","SUmda5xLS4","AF7qkfDlqP","IWmyXbctLI","g55IO6H4Gj","XPYlsWDdGa","sdazOOVcIp"],"dependent_operators":["k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3027","layer":4},{"info":"compute unary expreesion, input=3027, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6054","layer":3},{"info":"compute unary expreesion, input=-6054, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=6538","layer":2},{"info":"number node, value=2437","layer":4},{"info":"number node, value=7644","layer":4},{"info":"compute binary expreesion, left_input=2437, right_input=7644, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4048","layer":4},{"info":"number node, value=8776","layer":4},{"info":"compute binary expreesion, left_input=4048, right_input=8776, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9488","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9488, 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=6538, 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=2199","layer":4},{"info":"compute unary expreesion, input=2199, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1926","layer":3},{"info":"number node, value=3347","layer":4},{"info":"number node, value=5208","layer":4},{"info":"compute binary expreesion, left_input=3347, right_input=5208, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7010","layer":3},{"info":"compute binary expreesion, left_input=-1926, right_input=7010, 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=7818","layer":4},{"info":"compute unary expreesion, input=7818, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=15636","layer":3},{"info":"number node, value=5325","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=5325, right_input=1162, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8428","layer":3},{"info":"compute binary expreesion, left_input=15636, right_input=8428, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=48128","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=48128, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":3,"result_base":3,"text":"((≤/(⫏≰11011010≋⫹))≭(⫏≰10100021⫥∨⫟⫏≰101111010⊉≛↸⫏≰12112221⩷∴⫏≰110001001))⪢(((⨑⩽⪐⫏≰10000110)⪄⫏≰11120222⪮%⊝⫏≰21010220)+⇶⊼((⪲⇎⫏≰101201120)⨸⪁(⫏≰21022020⪨≂⫏≰1121001)))=NaN","reverse_text":"NaN=((≤/(⫏≰11011010≋⫹))≭(⫏≰10100021⫥∨⫟⫏≰101111010⊉≛↸⫏≰12112221⩷∴⫏≰110001001))⪢(((⨑⩽⪐⫏≰10000110)⪄⫏≰11120222⪮%⊝⫏≰21010220)+⇶⊼((⪲⇎⫏≰101201120)⨸⪁(⫏≰21022020⪨≂⫏≰1121001)))","cot":[{"info":"⫏≰11011010≋⫹=⫏≰-22022020","layer":3},{"info":"≤/⫏≰-22022020=⫏≰22222011","layer":2},{"info":"⫏≰10100021⫥∨⫟⫏≰101111010=NaN","layer":3},{"info":"⫏≰12112221⩷∴⫏≰110001001=⫏≰-111000102","layer":3},{"info":"NaN⊉≛↸⫏≰-111000102=NaN","layer":2},{"info":"⫏≰22222011≭NaN=NaN","layer":1},{"info":"⨑⩽⪐⫏≰10000110=⫏≰-2122100","layer":3},{"info":"⫏≰11120222⪮%⊝⫏≰21010220=⫏≰100121122","layer":3},{"info":"⫏≰-2122100⪄⫏≰100121122=⫏≰12110101","layer":2},{"info":"⪲⇎⫏≰101201120=⫏≰210110010","layer":3},{"info":"⫏≰21022020⪨≂⫏≰1121001=⫏≰102120011","layer":3},{"info":"⫏≰210110010⨸⪁⫏≰102120011=⫏≰2110000112","layer":2},{"info":"⫏≰12110101+⇶⊼⫏≰2110000112=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":761,"expression_no_base_symbol":"((↯⪼$5092$)⨐⩸⫘$2442$⋓$1022$)⩷∴(($1043$↙$1007$)⨰($6632$/$1601$))⊉≛↸(⊄⩳↩((⫓⪴$1670$)⪄$2408$⩷∴$1856$))","expression":"((↯⪼⫏≰20222121)⨐⩸⫘⫏≰10100110⋓⫏≰1101212)⩷∴((⫏≰1102122↙⫏≰1101022)⨰(⫏≰100002122/⫏≰2012022))⊉≛↸(⊄⩳↩((⫓⪴⫏≰2021212)⪄⫏≰10022012⩷∴⫏≰2112202))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2847,"operation_count":12,"complexity_ratio":237.25,"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":5092,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2442,"base":3},"right_expr":{"type":"numeric_atoms","value":1022,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1043,"base":3},"right_expr":{"type":"numeric_atoms","value":1007,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6632,"base":3},"right_expr":{"type":"numeric_atoms","value":1601,"base":3}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1670,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2408,"base":3},"right_expr":{"type":"numeric_atoms","value":1856,"base":3}}}}},"used_operators":["DZ8iAZOCBD","9FxExcQeMw","fu6greOZ01","8jW3W4yZS5","T2fj7uvVaJ","eewbuw0ToL","yyfyN0ffXY","XhwjNDsVaA","8w2t5hMYqp","SUmda5xLS4","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A"],"result":"⫏≰121100012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5092","layer":4},{"info":"compute unary expreesion, input=5092, 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=2442","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=2442, right_input=1022, op_id = T2fj7uvVaJ 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=-21, 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=-21","layer":2},{"info":"number node, value=1043","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=1007, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3021","layer":3},{"info":"number node, value=6632","layer":4},{"info":"number node, value=1601","layer":4},{"info":"compute binary expreesion, left_input=6632, right_input=1601, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"compute binary expreesion, left_input=-3021, right_input=4, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3015","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-3015, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5956","layer":1},{"info":"number node, value=1670","layer":4},{"info":"compute unary expreesion, input=1670, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2788900","layer":3},{"info":"number node, value=2408","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=1856, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1072","layer":3},{"info":"compute binary expreesion, left_input=2788900, right_input=1072, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-412757577","layer":2},{"info":"compute unary expreesion, input=-412757577, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=1238272731","layer":1},{"info":"compute binary expreesion, left_input=5956, right_input=1238272731, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11912","layer":0}],"base":3,"result_base":3,"text":"((↯⪼⫏≰20222121)⨐⩸⫘⫏≰10100110⋓⫏≰1101212)⩷∴((⫏≰1102122↙⫏≰1101022)⨰(⫏≰100002122/⫏≰2012022))⊉≛↸(⊄⩳↩((⫓⪴⫏≰2021212)⪄⫏≰10022012⩷∴⫏≰2112202))=⫏≰121100012","reverse_text":"⫏≰121100012=((↯⪼⫏≰20222121)⨐⩸⫘⫏≰10100110⋓⫏≰1101212)⩷∴((⫏≰1102122↙⫏≰1101022)⨰(⫏≰100002122/⫏≰2012022))⊉≛↸(⊄⩳↩((⫓⪴⫏≰2021212)⪄⫏≰10022012⩷∴⫏≰2112202))","cot":[{"info":"↯⪼⫏≰20222121=⫏≰-210","layer":3},{"info":"⫏≰10100110⋓⫏≰1101212=⫏≰0","layer":3},{"info":"⫏≰-210⨐⩸⫘⫏≰0=⫏≰-210","layer":2},{"info":"⫏≰1102122↙⫏≰1101022=⫏≰-11010220","layer":3},{"info":"⫏≰100002122/⫏≰2012022=⫏≰11","layer":3},{"info":"⫏≰-11010220⨰⫏≰11=⫏≰-11010200","layer":2},{"info":"⫏≰-210⩷∴⫏≰-11010200=⫏≰22011121","layer":1},{"info":"⫓⪴⫏≰2021212=⫏≰12020200122121","layer":3},{"info":"⫏≰10022012⩷∴⫏≰2112202=⫏≰1110201","layer":3},{"info":"⫏≰12020200122121⪄⫏≰1110201=⫏≰-1001202200020221200","layer":2},{"info":"⊄⩳↩⫏≰-1001202200020221200=⫏≰10012022000202212000","layer":1},{"info":"⫏≰22011121⊉≛↸⫏≰10012022000202212000=⫏≰121100012","layer":0}]}
{"id":762,"expression_no_base_symbol":"($2252$⨓$3450$)⪛($1018$⨽$2924$)↙($7064$+$7538$+$7208$⨐⩸⫘$2533$)⊉≛↸(⨵≀≌(∂$1048$)⋳⪒($1629$⇼⇔∾$1295$))","expression":"(⫏≰10002102⨓⫏≰11201210)⪛(⫏≰1101201⨽⫏≰11000022)↙(⫏≰100200122+⫏≰101100012+⫏≰100212222⨐⩸⫘⫏≰10110211)⊉≛↸(⨵≀≌(∂⫏≰1102211)⋳⪒(⫏≰2020100⇼⇔∾⫏≰1202222))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4508,"operation_count":12,"complexity_ratio":375.6666666666667,"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":2252,"base":3},"right_expr":{"type":"numeric_atoms","value":3450,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1018,"base":3},"right_expr":{"type":"numeric_atoms","value":2924,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7064,"base":3},"right_expr":{"type":"numeric_atoms","value":7538,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7208,"base":3},"right_expr":{"type":"numeric_atoms","value":2533,"base":3}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1048,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1629,"base":3},"right_expr":{"type":"numeric_atoms","value":1295,"base":3}}}}},"used_operators":["DZ8iAZOCBD","yyfyN0ffXY","uFcxV4UQCh","3ViojmjbAp","8HhzD0ZcuI","W4YGzv6Whe","fu6greOZ01","srAu1WTS94","12rbrZMWeM","Uaa54Peajs","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2252","layer":4},{"info":"number node, value=3450","layer":4},{"info":"compute binary expreesion, left_input=2252, right_input=3450, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3453","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=2924","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=2924, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3116430","layer":3},{"info":"compute binary expreesion, left_input=-3453, right_input=-3116430, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-3453","layer":2},{"info":"number node, value=7064","layer":4},{"info":"number node, value=7538","layer":4},{"info":"compute binary expreesion, left_input=7064, right_input=7538, op_id = W4YGzv6Whe binary_op_definition= 'None', output=14602","layer":3},{"info":"number node, value=7208","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=7208, right_input=2533, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=14602, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3453, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3453","layer":1},{"info":"number node, value=1048","layer":4},{"info":"compute unary expreesion, input=1048, 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=1629","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=1629, right_input=1295, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-334","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-334, 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 = 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=-3453, 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":3,"result_base":3,"text":"(⫏≰10002102⨓⫏≰11201210)⪛(⫏≰1101201⨽⫏≰11000022)↙(⫏≰100200122+⫏≰101100012+⫏≰100212222⨐⩸⫘⫏≰10110211)⊉≛↸(⨵≀≌(∂⫏≰1102211)⋳⪒(⫏≰2020100⇼⇔∾⫏≰1202222))=NaN","reverse_text":"NaN=(⫏≰10002102⨓⫏≰11201210)⪛(⫏≰1101201⨽⫏≰11000022)↙(⫏≰100200122+⫏≰101100012+⫏≰100212222⨐⩸⫘⫏≰10110211)⊉≛↸(⨵≀≌(∂⫏≰1102211)⋳⪒(⫏≰2020100⇼⇔∾⫏≰1202222))","cot":[{"info":"⫏≰10002102⨓⫏≰11201210=⫏≰-11201220","layer":3},{"info":"⫏≰1101201⨽⫏≰11000022=⫏≰-12212022221100","layer":3},{"info":"⫏≰-11201220⪛⫏≰-12212022221100=⫏≰-11201220","layer":2},{"info":"⫏≰100200122+⫏≰101100012=⫏≰202000211","layer":3},{"info":"⫏≰100212222⨐⩸⫘⫏≰10110211=NaN","layer":3},{"info":"⫏≰202000211+NaN=NaN","layer":2},{"info":"⫏≰-11201220↙NaN=⫏≰-11201220","layer":1},{"info":"∂⫏≰1102211=NaN","layer":3},{"info":"⫏≰2020100⇼⇔∾⫏≰1202222=⫏≰-110101","layer":3},{"info":"NaN⋳⪒⫏≰-110101=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⫏≰-11201220⊉≛↸NaN=NaN","layer":0}]}
{"id":763,"expression_no_base_symbol":"((($3453$+$1145$)∲⫓$3223$↙$1018$)⩨$6022$∀⇚≩$5355$⨎($3723$⊉≛↸$1526$))≭($4532$⋷$1892$⪨≂$3819$⨰$2024$)↬(($2702$⇼⇔∾$6398$)⪄$3103$≎⊠⪸$2448$)","expression":"(((⫏≰11201220+⫏≰1120102)∲⫓⫏≰11102101↙⫏≰1101201)⩨⫏≰22021001∀⇚≩⫏≰21100100⨎(⫏≰12002220⊉≛↸⫏≰2002112))≭(⫏≰20012212⋷⫏≰2121002⪨≂⫏≰12020110⨰⫏≰2202222)↬((⫏≰10201002⇼⇔∾⫏≰22202222)⪄⫏≰11020221≎⊠⪸⫏≰10100200)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43567,"operation_count":15,"complexity_ratio":2904.4666666666667,"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":3453,"base":3},"right_expr":{"type":"numeric_atoms","value":1145,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3223,"base":3},"right_expr":{"type":"numeric_atoms","value":1018,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6022,"base":3},"right_expr":{"type":"numeric_atoms","value":5355,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3723,"base":3},"right_expr":{"type":"numeric_atoms","value":1526,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4532,"base":3},"right_expr":{"type":"numeric_atoms","value":1892,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3819,"base":3},"right_expr":{"type":"numeric_atoms","value":2024,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2702,"base":3},"right_expr":{"type":"numeric_atoms","value":6398,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3103,"base":3},"right_expr":{"type":"numeric_atoms","value":2448,"base":3}}}}},"used_operators":["rxpJgHHUmx","2DlMacCsIx","i8ToyICDmI","W4YGzv6Whe","yyfyN0ffXY","rJVOvQCfKK","LRNGc0VcxI","DZ8iAZOCBD","B5M0gjZbta","sdazOOVcIp","23Mk6UjR3U","eewbuw0ToL","SUmda5xLS4","tifHPKVTfV","bJkvcejdHO"],"dependent_operators":["AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3453","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=3453, right_input=1145, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4598","layer":3},{"info":"number node, value=3223","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=3223, right_input=1018, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3054","layer":3},{"info":"compute binary expreesion, left_input=4598, right_input=-3054, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=4598","layer":2},{"info":"number node, value=6022","layer":4},{"info":"number node, value=5355","layer":4},{"info":"compute binary expreesion, left_input=6022, right_input=5355, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3723","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=3723, right_input=1526, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7446","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7446, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7446","layer":2},{"info":"compute binary expreesion, left_input=4598, right_input=7446, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"number node, value=4532","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=4532, right_input=1892, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-748","layer":3},{"info":"number node, value=3819","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=2024, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1805","layer":3},{"info":"compute binary expreesion, left_input=-748, right_input=1805, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5004","layer":2},{"info":"number node, value=2702","layer":4},{"info":"number node, value=6398","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=6398, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3696","layer":3},{"info":"number node, value=3103","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=3103, right_input=2448, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=803204","layer":3},{"info":"compute binary expreesion, left_input=3696, right_input=803204, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-3755913","layer":2},{"info":"compute binary expreesion, left_input=-5004, right_input=-3755913, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-3, 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":3,"result_base":3,"text":"(((⫏≰11201220+⫏≰1120102)∲⫓⫏≰11102101↙⫏≰1101201)⩨⫏≰22021001∀⇚≩⫏≰21100100⨎(⫏≰12002220⊉≛↸⫏≰2002112))≭(⫏≰20012212⋷⫏≰2121002⪨≂⫏≰12020110⨰⫏≰2202222)↬((⫏≰10201002⇼⇔∾⫏≰22202222)⪄⫏≰11020221≎⊠⪸⫏≰10100200)=NaN","reverse_text":"NaN=(((⫏≰11201220+⫏≰1120102)∲⫓⫏≰11102101↙⫏≰1101201)⩨⫏≰22021001∀⇚≩⫏≰21100100⨎(⫏≰12002220⊉≛↸⫏≰2002112))≭(⫏≰20012212⋷⫏≰2121002⪨≂⫏≰12020110⨰⫏≰2202222)↬((⫏≰10201002⇼⇔∾⫏≰22202222)⪄⫏≰11020221≎⊠⪸⫏≰10100200)","cot":[{"info":"⫏≰11201220+⫏≰1120102=⫏≰20022022","layer":3},{"info":"⫏≰11102101↙⫏≰1101201=⫏≰-11012010","layer":3},{"info":"⫏≰20022022∲⫓⫏≰-11012010=⫏≰20022022","layer":2},{"info":"⫏≰22021001∀⇚≩⫏≰21100100=NaN","layer":3},{"info":"⫏≰12002220⊉≛↸⫏≰2002112=⫏≰101012210","layer":3},{"info":"NaN⨎⫏≰101012210=⫏≰101012210","layer":2},{"info":"⫏≰20022022⩨⫏≰101012210=⫏≰-10","layer":1},{"info":"⫏≰20012212⋷⫏≰2121002=⫏≰-1000201","layer":3},{"info":"⫏≰12020110⨰⫏≰2202222=⫏≰2110212","layer":3},{"info":"⫏≰-1000201⪨≂⫏≰2110212=⫏≰-20212100","layer":2},{"info":"⫏≰10201002⇼⇔∾⫏≰22202222=⫏≰12001220","layer":3},{"info":"⫏≰11020221≎⊠⪸⫏≰10100200=⫏≰1111210210022","layer":3},{"info":"⫏≰12001220⪄⫏≰1111210210022=⫏≰-21001211010220","layer":2},{"info":"⫏≰-20212100↬⫏≰-21001211010220=NaN","layer":1},{"info":"⫏≰-10≭NaN=NaN","layer":0}]}
{"id":764,"expression_no_base_symbol":"⨰⫟⨤(⨞⊢$2765$⊴$5805$⋥≓≎$8634$↬$3252$)","expression":"⨰⫟⨤(⨞⊢⫏≰10210102⊴⫏≰21222000⋥≓≎⫏≰102211210↬⫏≰11110110)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7672,"operation_count":5,"complexity_ratio":1534.4,"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":2765,"base":3},"right_expr":{"type":"numeric_atoms","value":5805,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8634,"base":3},"right_expr":{"type":"numeric_atoms","value":3252,"base":3}}}}},"used_operators":["Tw270M8GLb","xUOZtlo3hN","Qy55tPpLXF","Nsiff2A1zJ","B5M0gjZbta"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2765","layer":4},{"info":"number node, value=5805","layer":4},{"info":"compute binary expreesion, left_input=2765, right_input=5805, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=8634","layer":4},{"info":"number node, value=3252","layer":4},{"info":"compute binary expreesion, left_input=8634, right_input=3252, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤(⨞⊢⫏≰10210102⊴⫏≰21222000⋥≓≎⫏≰102211210↬⫏≰11110110)=NaN","reverse_text":"NaN=⨰⫟⨤(⨞⊢⫏≰10210102⊴⫏≰21222000⋥≓≎⫏≰102211210↬⫏≰11110110)","cot":[{"info":"⫏≰10210102⊴⫏≰21222000=NaN","layer":3},{"info":"⫏≰102211210↬⫏≰11110110=NaN","layer":3},{"info":"NaN⋥≓≎NaN=⫏≰2111","layer":2},{"info":"⨞⊢⫏≰2111=⫏≰-22221","layer":1},{"info":"⨰⫟⨤⫏≰-22221=NaN","layer":0}]}
{"id":765,"expression_no_base_symbol":"(↽≂(⫓⪴($4698$/$4056$)))⪄(($2033$⪒$2270$)-$5276$∀⇚≩$2377$)⨰($6751$⊴$4892$⫥∨⫟($3416$⫥∨⫟$1901$))","expression":"(↽≂(⫓⪴(⫏≰20110000/⫏≰12120020)))⪄((⫏≰2210022⪒⫏≰10010002)-⫏≰21020102∀⇚≩⫏≰10021001)⨰(⫏≰100021001⊴⫏≰20201012⫥∨⫟(⫏≰11200112⫥∨⫟⫏≰2121102))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":52737,"operation_count":11,"complexity_ratio":4794.272727272727,"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":4698,"base":3},"right_expr":{"type":"numeric_atoms","value":4056,"base":3}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2033,"base":3},"right_expr":{"type":"numeric_atoms","value":2270,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5276,"base":3},"right_expr":{"type":"numeric_atoms","value":2377,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6751,"base":3},"right_expr":{"type":"numeric_atoms","value":4892,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3416,"base":3},"right_expr":{"type":"numeric_atoms","value":1901,"base":3}}}}},"used_operators":["SUmda5xLS4","u6S6b8DprG","eLxqMNBOBk","XhwjNDsVaA","eewbuw0ToL","rysDP5nf3Z","f6k1SAg4EE","LRNGc0VcxI","KYD54nUTWz","Nsiff2A1zJ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4698","layer":4},{"info":"number node, value=4056","layer":4},{"info":"compute binary expreesion, left_input=4698, right_input=4056, op_id = XhwjNDsVaA binary_op_definition= 'None', 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2","layer":1},{"info":"number node, value=2033","layer":4},{"info":"number node, value=2270","layer":4},{"info":"compute binary expreesion, left_input=2033, right_input=2270, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4303","layer":3},{"info":"number node, value=5276","layer":4},{"info":"number node, value=2377","layer":4},{"info":"compute binary expreesion, left_input=5276, right_input=2377, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-4303, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6751","layer":4},{"info":"number node, value=4892","layer":4},{"info":"compute binary expreesion, left_input=6751, right_input=4892, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3416","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=3416, right_input=1901, 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 = 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2, 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":3,"result_base":3,"text":"(↽≂(⫓⪴(⫏≰20110000/⫏≰12120020)))⪄((⫏≰2210022⪒⫏≰10010002)-⫏≰21020102∀⇚≩⫏≰10021001)⨰(⫏≰100021001⊴⫏≰20201012⫥∨⫟(⫏≰11200112⫥∨⫟⫏≰2121102))=NaN","reverse_text":"NaN=(↽≂(⫓⪴(⫏≰20110000/⫏≰12120020)))⪄((⫏≰2210022⪒⫏≰10010002)-⫏≰21020102∀⇚≩⫏≰10021001)⨰(⫏≰100021001⊴⫏≰20201012⫥∨⫟(⫏≰11200112⫥∨⫟⫏≰2121102))","cot":[{"info":"⫏≰20110000/⫏≰12120020=⫏≰1","layer":3},{"info":"⫓⪴⫏≰1=⫏≰1","layer":2},{"info":"↽≂⫏≰1=⫏≰-2","layer":1},{"info":"⫏≰2210022⪒⫏≰10010002=⫏≰-12220101","layer":3},{"info":"⫏≰21020102∀⇚≩⫏≰10021001=NaN","layer":3},{"info":"⫏≰-12220101-NaN=NaN","layer":2},{"info":"⫏≰100021001⊴⫏≰20201012=NaN","layer":3},{"info":"⫏≰11200112⫥∨⫟⫏≰2121102=NaN","layer":3},{"info":"NaN⫥∨⫟NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⫏≰-2⪄NaN=NaN","layer":0}]}
{"id":766,"expression_no_base_symbol":"(↔(($1420$%$4998$)⪒$4340$↬$1209$))∑⇟⊟((($2489$∧)∲⫓$3322$⋝⋈⪟$1663$)⨽(($4617$≹⇙⪍$2117$)∧))","expression":"(↔((⫏≰1221121%⫏≰20212010)⪒⫏≰12221202↬⫏≰1122210))∑⇟⊟(((⫏≰10102012∧)∲⫓⫏≰11120001⋝⋈⪟⫏≰2021121)⨽((⫏≰20100000≹⇙⪍⫏≰2220102)∧))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":58,"operation_count":11,"complexity_ratio":5.2727272727272725,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1420,"base":3},"right_expr":{"type":"numeric_atoms","value":4998,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4340,"base":3},"right_expr":{"type":"numeric_atoms","value":1209,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2489,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3322,"base":3},"right_expr":{"type":"numeric_atoms","value":1663,"base":3}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4617,"base":3},"right_expr":{"type":"numeric_atoms","value":2117,"base":3}}}}},"used_operators":["U7g4x0WXJJ","ruOEQAzv1W","f6k1SAg4EE","k8jYdgA6NY","B5M0gjZbta","8HhzD0ZcuI","i8ToyICDmI","z63VuFQld9","2DDjHMKMc0","AHs5Up7iyr"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1420","layer":4},{"info":"number node, value=4998","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=4998, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1420","layer":3},{"info":"number node, value=4340","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=4340, right_input=1209, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1420, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=2489","layer":4},{"info":"compute unary expreesion, input=2489, 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=3322","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=3322, right_input=1663, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3322","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3322, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=4617","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=4617, right_input=2117, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=0, 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=-134, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↔((⫏≰1221121%⫏≰20212010)⪒⫏≰12221202↬⫏≰1122210))∑⇟⊟(((⫏≰10102012∧)∲⫓⫏≰11120001⋝⋈⪟⫏≰2021121)⨽((⫏≰20100000≹⇙⪍⫏≰2220102)∧))=NaN","reverse_text":"NaN=(↔((⫏≰1221121%⫏≰20212010)⪒⫏≰12221202↬⫏≰1122210))∑⇟⊟(((⫏≰10102012∧)∲⫓⫏≰11120001⋝⋈⪟⫏≰2021121)⨽((⫏≰20100000≹⇙⪍⫏≰2220102)∧))","cot":[{"info":"⫏≰1221121%⫏≰20212010=⫏≰1221121","layer":3},{"info":"⫏≰12221202↬⫏≰1122210=NaN","layer":3},{"info":"⫏≰1221121⪒NaN=NaN","layer":2},{"info":"↔NaN=⫏≰-11222","layer":1},{"info":"⫏≰10102012∧=NaN","layer":3},{"info":"⫏≰11120001⋝⋈⪟⫏≰2021121=⫏≰11120001","layer":3},{"info":"NaN∲⫓⫏≰11120001=⫏≰0","layer":2},{"info":"⫏≰20100000≹⇙⪍⫏≰2220102=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⫏≰0⨽NaN=NaN","layer":1},{"info":"⫏≰-11222∑⇟⊟NaN=NaN","layer":0}]}
{"id":767,"expression_no_base_symbol":"(⨈⫕($5258$⪨≂$1756$)≧⫂∧(⩦⩻⨪$2740$))≧⫂∧(⊙↵-($2841$∑⇟⊟$4059$))⪮%⊝($3208$↛⩡⫤)⪮%⊝($4594$⪨≂$1090$)","expression":"(⨈⫕(⫏≰21012202⪨≂⫏≰2102001)≧⫂∧(⩦⩻⨪⫏≰10202111))≧⫂∧(⊙↵-(⫏≰10220020∑⇟⊟⫏≰12120100))⪮%⊝(⫏≰11101211↛⩡⫤)⪮%⊝(⫏≰20022011⪨≂⫏≰1111101)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10205,"operation_count":11,"complexity_ratio":927.7272727272727,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5258,"base":3},"right_expr":{"type":"numeric_atoms","value":1756,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2740,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2841,"base":3},"right_expr":{"type":"numeric_atoms","value":4059,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3208,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4594,"base":3},"right_expr":{"type":"numeric_atoms","value":1090,"base":3}}}}},"used_operators":["Ph9nP6C5qx","megm06wKyl","sdazOOVcIp","2td37pGCOC","IWmyXbctLI","oWn0xqSxBt","U7g4x0WXJJ","FU0Cs4j7VP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5258","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=5258, right_input=1756, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7106","layer":3},{"info":"number node, value=2740","layer":4},{"info":"compute unary expreesion, input=2740, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2740","layer":3},{"info":"compute binary expreesion, left_input=7106, right_input=2740, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2267","layer":2},{"info":"compute unary expreesion, input=2267, 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=2841","layer":4},{"info":"number node, value=4059","layer":4},{"info":"compute binary expreesion, left_input=2841, right_input=4059, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=3208","layer":4},{"info":"compute unary expreesion, input=3208, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-480497","layer":3},{"info":"number node, value=4594","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=4594, right_input=1090, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7110","layer":3},{"info":"compute binary expreesion, left_input=-480497, right_input=7110, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-960678","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-960678, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"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":0}],"base":3,"result_base":3,"text":"(⨈⫕(⫏≰21012202⪨≂⫏≰2102001)≧⫂∧(⩦⩻⨪⫏≰10202111))≧⫂∧(⊙↵-(⫏≰10220020∑⇟⊟⫏≰12120100))⪮%⊝(⫏≰11101211↛⩡⫤)⪮%⊝(⫏≰20022011⪨≂⫏≰1111101)=NaN","reverse_text":"NaN=(⨈⫕(⫏≰21012202⪨≂⫏≰2102001)≧⫂∧(⩦⩻⨪⫏≰10202111))≧⫂∧(⊙↵-(⫏≰10220020∑⇟⊟⫏≰12120100))⪮%⊝(⫏≰11101211↛⩡⫤)⪮%⊝(⫏≰20022011⪨≂⫏≰1111101)","cot":[{"info":"⫏≰21012202⪨≂⫏≰2102001=⫏≰100202012","layer":3},{"info":"⩦⩻⨪⫏≰10202111=⫏≰10202111","layer":3},{"info":"⫏≰100202012≧⫂∧⫏≰10202111=⫏≰10002222","layer":2},{"info":"⨈⫕⫏≰10002222=⫏≰-210","layer":1},{"info":"⫏≰10220020∑⇟⊟⫏≰12120100=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⫏≰11101211↛⩡⫤=⫏≰-220102010012","layer":3},{"info":"⫏≰20022011⪨≂⫏≰1111101=⫏≰100202100","layer":3},{"info":"⫏≰-220102010012⪮%⊝⫏≰100202100=⫏≰-1210210210200","layer":2},{"info":"NaN⪮%⊝⫏≰-1210210210200=NaN","layer":1},{"info":"⫏≰-210≧⫂∧NaN=NaN","layer":0}]}
{"id":768,"expression_no_base_symbol":"(($3959$⊭↱$9381$)⨰$7841$⊴$1505$⇼⇔∾$4629$∑⇟⊟$5418$≧⫂∧($1139$⨵⪆$6197$))⇋≉","expression":"((⫏≰12102122⊭↱⫏≰110212110)⨰⫏≰101202102⊴⫏≰2001202⇼⇔∾⫏≰20100110∑⇟⊟⫏≰21102200≧⫂∧(⫏≰1120012⨵⪆⫏≰22111112))⇋≉","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9554,"operation_count":8,"complexity_ratio":1194.25,"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":3959,"base":3},"right_expr":{"type":"numeric_atoms","value":9381,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7841,"base":3},"right_expr":{"type":"numeric_atoms","value":1505,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4629,"base":3},"right_expr":{"type":"numeric_atoms","value":5418,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1139,"base":3},"right_expr":{"type":"numeric_atoms","value":6197,"base":3}}}}},"used_operators":["XIabStNQrY","tifHPKVTfV","eewbuw0ToL","COABgblf1C","Nsiff2A1zJ","Ph9nP6C5qx","U7g4x0WXJJ","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3959","layer":4},{"info":"number node, value=9381","layer":4},{"info":"compute binary expreesion, left_input=3959, right_input=9381, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10849","layer":3},{"info":"number node, value=7841","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=7841, right_input=1505, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10849, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=4629","layer":4},{"info":"number node, value=5418","layer":4},{"info":"compute binary expreesion, left_input=4629, right_input=5418, 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":"number node, value=6197","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=6197, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12102122⊭↱⫏≰110212110)⨰⫏≰101202102⊴⫏≰2001202⇼⇔∾⫏≰20100110∑⇟⊟⫏≰21102200≧⫂∧(⫏≰1120012⨵⪆⫏≰22111112))⇋≉=NaN","reverse_text":"NaN=((⫏≰12102122⊭↱⫏≰110212110)⨰⫏≰101202102⊴⫏≰2001202⇼⇔∾⫏≰20100110∑⇟⊟⫏≰21102200≧⫂∧(⫏≰1120012⨵⪆⫏≰22111112))⇋≉","cot":[{"info":"⫏≰12102122⊭↱⫏≰110212110=⫏≰112212211","layer":3},{"info":"⫏≰101202102⊴⫏≰2001202=NaN","layer":3},{"info":"⫏≰112212211⨰NaN=NaN","layer":2},{"info":"⫏≰20100110∑⇟⊟⫏≰21102200=NaN","layer":3},{"info":"⫏≰1120012⨵⪆⫏≰22111112=⫏≰12221","layer":3},{"info":"NaN≧⫂∧⫏≰12221=⫏≰-102121","layer":2},{"info":"NaN⇼⇔∾⫏≰-102121=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":769,"expression_no_base_symbol":"(($1076$⪒$3195$)↬(⪝⪂⫅$3743$)⩚⊴⇥($7013$⩚⊴⇥$3192$)⩷∴(↥$1958$))∀⇚≩(($4153$⊭∹↮)⨟⋌⩍($1795$⨳⩥⨓$4332$)≎⊠⪸($4748$⪄$3231$)≹⇙⪍($4919$⇷$3218$))","expression":"((⫏≰1110212⪒⫏≰11101100)↬(⪝⪂⫅⫏≰12010122)⩚⊴⇥(⫏≰100121202⩚⊴⇥⫏≰11101020)⩷∴(↥⫏≰2200112))∀⇚≩((⫏≰12200211⊭∹↮)⨟⋌⩍(⫏≰2110111⨳⩥⨓⫏≰12221110)≎⊠⪸(⫏≰20111212⪄⫏≰11102200)≹⇙⪍(⫏≰20202012⇷⫏≰11102012))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":69194,"operation_count":15,"complexity_ratio":4612.933333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1076,"base":3},"right_expr":{"type":"numeric_atoms","value":3195,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3743,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7013,"base":3},"right_expr":{"type":"numeric_atoms","value":3192,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1958,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4153,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1795,"base":3},"right_expr":{"type":"numeric_atoms","value":4332,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4748,"base":3},"right_expr":{"type":"numeric_atoms","value":3231,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4919,"base":3},"right_expr":{"type":"numeric_atoms","value":3218,"base":3}}}}},"used_operators":["LRNGc0VcxI","NTOWxs364D","B5M0gjZbta","f6k1SAg4EE","XTarYq4gQB","9FxExcQeMw","A8NUZmVepG","bJkvcejdHO","rGHVDoGpnC","xNBdhnnwKq","nCS4ZIUYfx","AHs5Up7iyr","SUmda5xLS4","mp7IySMOzn"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tcnh7f0tEr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1076","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=3195, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4271","layer":3},{"info":"number node, value=3743","layer":4},{"info":"compute unary expreesion, input=3743, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-550221","layer":3},{"info":"compute binary expreesion, left_input=-4271, right_input=-550221, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7013","layer":4},{"info":"number node, value=3192","layer":4},{"info":"compute binary expreesion, left_input=7013, right_input=3192, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10326","layer":3},{"info":"number node, value=1958","layer":4},{"info":"compute unary expreesion, input=1958, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-10326, right_input=20, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-20724","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-20724, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=4153","layer":4},{"info":"compute unary expreesion, input=4153, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8306","layer":3},{"info":"number node, value=1795","layer":4},{"info":"number node, value=4332","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=4332, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2537","layer":3},{"info":"compute binary expreesion, left_input=8306, right_input=2537, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=4748","layer":4},{"info":"number node, value=3231","layer":4},{"info":"compute binary expreesion, left_input=4748, right_input=3231, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-711717","layer":3},{"info":"number node, value=4919","layer":4},{"info":"number node, value=3218","layer":4},{"info":"compute binary expreesion, left_input=4919, right_input=3218, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6436","layer":3},{"info":"compute binary expreesion, left_input=-711717, right_input=6436, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":3,"result_base":3,"text":"((⫏≰1110212⪒⫏≰11101100)↬(⪝⪂⫅⫏≰12010122)⩚⊴⇥(⫏≰100121202⩚⊴⇥⫏≰11101020)⩷∴(↥⫏≰2200112))∀⇚≩((⫏≰12200211⊭∹↮)⨟⋌⩍(⫏≰2110111⨳⩥⨓⫏≰12221110)≎⊠⪸(⫏≰20111212⪄⫏≰11102200)≹⇙⪍(⫏≰20202012⇷⫏≰11102012))=NaN","reverse_text":"NaN=((⫏≰1110212⪒⫏≰11101100)↬(⪝⪂⫅⫏≰12010122)⩚⊴⇥(⫏≰100121202⩚⊴⇥⫏≰11101020)⩷∴(↥⫏≰2200112))∀⇚≩((⫏≰12200211⊭∹↮)⨟⋌⩍(⫏≰2110111⨳⩥⨓⫏≰12221110)≎⊠⪸(⫏≰20111212⪄⫏≰11102200)≹⇙⪍(⫏≰20202012⇷⫏≰11102012))","cot":[{"info":"⫏≰1110212⪒⫏≰11101100=⫏≰-12212012","layer":3},{"info":"⪝⪂⫅⫏≰12010122=⫏≰-1000221202120","layer":3},{"info":"⫏≰-12212012↬⫏≰-1000221202120=NaN","layer":2},{"info":"⫏≰100121202⩚⊴⇥⫏≰11101020=⫏≰-112011110","layer":3},{"info":"↥⫏≰2200112=⫏≰202","layer":3},{"info":"⫏≰-112011110⩷∴⫏≰202=⫏≰-1001102120","layer":2},{"info":"NaN⩚⊴⇥⫏≰-1001102120=NaN","layer":1},{"info":"⫏≰12200211⊭∹↮=⫏≰102101122","layer":3},{"info":"⫏≰2110111⨳⩥⨓⫏≰12221110=⫏≰10110222","layer":3},{"info":"⫏≰102101122⨟⋌⩍⫏≰10110222=NaN","layer":2},{"info":"⫏≰20111212⪄⫏≰11102200=⫏≰-1100011021220","layer":3},{"info":"⫏≰20202012⇷⫏≰11102012=⫏≰22211101","layer":3},{"info":"⫏≰-1100011021220≹⇙⪍⫏≰22211101=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"NaN∀⇚≩⫏≰2111=NaN","layer":0}]}
{"id":770,"expression_no_base_symbol":"((≉$1150$)⇼⇔∾$3610$⋥≓≎$4877$∲⫓$4050$⨟⋌⩍$1104$-$2565$∲⫓$1669$)⊪","expression":"((≉⫏≰1120121)⇼⇔∾⫏≰11221201⋥≓≎⫏≰20200122∲⫓⫏≰12120000⨟⋌⩍⫏≰1111220-⫏≰10112000∲⫓⫏≰2021211)⊪","highest_n_order":4,"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":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1150,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3610,"base":3},"right_expr":{"type":"numeric_atoms","value":4877,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4050,"base":3},"right_expr":{"type":"numeric_atoms","value":1104,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2565,"base":3},"right_expr":{"type":"numeric_atoms","value":1669,"base":3}}}}},"used_operators":["zVYPLywUTj","i8ToyICDmI","tifHPKVTfV","e1ybzncUwg","Qy55tPpLXF","rysDP5nf3Z","rGHVDoGpnC"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1150","layer":4},{"info":"compute unary expreesion, input=1150, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1681","layer":3},{"info":"number node, value=3610","layer":4},{"info":"number node, value=4877","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=4877, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6177","layer":3},{"info":"compute binary expreesion, left_input=1681, right_input=6177, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4496","layer":2},{"info":"number node, value=4050","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=4050, right_input=1104, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=2565","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=2565, right_input=1669, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4496, 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 = 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":3,"result_base":3,"text":"((≉⫏≰1120121)⇼⇔∾⫏≰11221201⋥≓≎⫏≰20200122∲⫓⫏≰12120000⨟⋌⩍⫏≰1111220-⫏≰10112000∲⫓⫏≰2021211)⊪=NaN","reverse_text":"NaN=((≉⫏≰1120121)⇼⇔∾⫏≰11221201⋥≓≎⫏≰20200122∲⫓⫏≰12120000⨟⋌⩍⫏≰1111220-⫏≰10112000∲⫓⫏≰2021211)⊪","cot":[{"info":"≉⫏≰1120121=⫏≰2022021","layer":3},{"info":"⫏≰11221201⋥≓≎⫏≰20200122=⫏≰22110210","layer":3},{"info":"⫏≰2022021⇼⇔∾⫏≰22110210=⫏≰20011112","layer":2},{"info":"⫏≰12120000⨟⋌⩍⫏≰1111220=NaN","layer":3},{"info":"⫏≰10112000∲⫓⫏≰2021211=⫏≰0","layer":3},{"info":"NaN-⫏≰0=NaN","layer":2},{"info":"⫏≰20011112∲⫓NaN=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":771,"expression_no_base_symbol":"⇁⨣⪵(($2420$⫡⨏$1792$+($3019$⪠⩆⊳))%($1702$⨸⪁$1499$)⪢($6965$⇷$1212$))","expression":"⇁⨣⪵((⫏≰10022122⫡⨏⫏≰2110101+(⫏≰11010211⪠⩆⊳))%(⫏≰2100001⨸⪁⫏≰2001112)⪢(⫏≰100112222⇷⫏≰1122220))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":101143,"operation_count":8,"complexity_ratio":12642.875,"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":2420,"base":3},"right_expr":{"type":"numeric_atoms","value":1792,"base":3}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3019,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1702,"base":3},"right_expr":{"type":"numeric_atoms","value":1499,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6965,"base":3},"right_expr":{"type":"numeric_atoms","value":1212,"base":3}}}}},"used_operators":["inkyxCbjAn","k8jYdgA6NY","W4YGzv6Whe","QMFrweE19q","JLbD19bQDL","dWAJyo7jo9","g55IO6H4Gj","mp7IySMOzn"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2420","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=1792, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16467","layer":3},{"info":"number node, value=3019","layer":4},{"info":"compute unary expreesion, input=3019, 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=16467, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=16467","layer":2},{"info":"number node, value=1702","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=1499, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6402","layer":3},{"info":"number node, value=6965","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=6965, right_input=1212, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2424","layer":3},{"info":"compute binary expreesion, left_input=6402, right_input=2424, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16467, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⇁⨣⪵((⫏≰10022122⫡⨏⫏≰2110101+(⫏≰11010211⪠⩆⊳))%(⫏≰2100001⨸⪁⫏≰2001112)⪢(⫏≰100112222⇷⫏≰1122220))=NaN","reverse_text":"NaN=⇁⨣⪵((⫏≰10022122⫡⨏⫏≰2110101+(⫏≰11010211⪠⩆⊳))%(⫏≰2100001⨸⪁⫏≰2001112)⪢(⫏≰100112222⇷⫏≰1122220))","cot":[{"info":"⫏≰10022122⫡⨏⫏≰2110101=⫏≰211120220","layer":3},{"info":"⫏≰11010211⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰211120220+⫏≰0=⫏≰211120220","layer":2},{"info":"⫏≰2100001⨸⪁⫏≰2001112=⫏≰22210010","layer":3},{"info":"⫏≰100112222⇷⫏≰1122220=⫏≰10022210","layer":3},{"info":"⫏≰22210010⪢⫏≰10022210=NaN","layer":2},{"info":"⫏≰211120220%NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":772,"expression_no_base_symbol":"($1161$⫥∨⫟$3328$⫸⊐(⫓⪴$3571$))⨪↰⇹(($4917$⋫)⨳⩥⨓$3637$≭$2011$)∲⫓($9762$≎⊠⪸$1738$)⨪↰⇹($5037$*$1581$)≧⫂∧(($1772$-$1299$)%$1086$*$4875$)","expression":"(⫏≰1121000⫥∨⫟⫏≰11120021⫸⊐(⫓⪴⫏≰11220021))⨪↰⇹((⫏≰20202010⋫)⨳⩥⨓⫏≰11222201≭⫏≰2202111)∲⫓(⫏≰111101120≎⊠⪸⫏≰2101101)⨪↰⇹(⫏≰20220120*⫏≰2011120)≧⫂∧((⫏≰2102122-⫏≰1210010)%⫏≰1111020*⫏≰20200120)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11593,"operation_count":15,"complexity_ratio":772.8666666666667,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1161,"base":3},"right_expr":{"type":"numeric_atoms","value":3328,"base":3}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3571,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4917,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3637,"base":3},"right_expr":{"type":"numeric_atoms","value":2011,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":9762,"base":3},"right_expr":{"type":"numeric_atoms","value":1738,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5037,"base":3},"right_expr":{"type":"numeric_atoms","value":1581,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1772,"base":3},"right_expr":{"type":"numeric_atoms","value":1299,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1086,"base":3},"right_expr":{"type":"numeric_atoms","value":4875,"base":3}}}}},"used_operators":["i8ToyICDmI","tmPS8pqC7x","mqXw5SEYmG","KYD54nUTWz","eLxqMNBOBk","nCS4ZIUYfx","JL8yIekQnl","rxpJgHHUmx","Ph9nP6C5qx","bJkvcejdHO","9HNa5Wba9A","k8jYdgA6NY","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1161","layer":4},{"info":"number node, value=3328","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=3328, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3571","layer":4},{"info":"compute unary expreesion, input=3571, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12752041","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12752041, 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=4917","layer":4},{"info":"compute unary expreesion, input=4917, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4917","layer":3},{"info":"number node, value=3637","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=3637, right_input=2011, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4917, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=9762","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=9762, right_input=1738, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2527885","layer":3},{"info":"number node, value=5037","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=5037, right_input=1581, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7963497","layer":3},{"info":"compute binary expreesion, left_input=2527885, right_input=7963497, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1772","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=1299, op_id = rysDP5nf3Z binary_op_definition= 'None', output=473","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=4875","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=4875, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5294250","layer":3},{"info":"compute binary expreesion, left_input=473, right_input=5294250, op_id = k8jYdgA6NY binary_op_definition= 'None', output=473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=473, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1121000⫥∨⫟⫏≰11120021⫸⊐(⫓⪴⫏≰11220021))⨪↰⇹((⫏≰20202010⋫)⨳⩥⨓⫏≰11222201≭⫏≰2202111)∲⫓(⫏≰111101120≎⊠⪸⫏≰2101101)⨪↰⇹(⫏≰20220120*⫏≰2011120)≧⫂∧((⫏≰2102122-⫏≰1210010)%⫏≰1111020*⫏≰20200120)=NaN","reverse_text":"NaN=(⫏≰1121000⫥∨⫟⫏≰11120021⫸⊐(⫓⪴⫏≰11220021))⨪↰⇹((⫏≰20202010⋫)⨳⩥⨓⫏≰11222201≭⫏≰2202111)∲⫓(⫏≰111101120≎⊠⪸⫏≰2101101)⨪↰⇹(⫏≰20220120*⫏≰2011120)≧⫂∧((⫏≰2102122-⫏≰1210010)%⫏≰1111020*⫏≰20200120)","cot":[{"info":"⫏≰1121000⫥∨⫟⫏≰11120021=NaN","layer":3},{"info":"⫓⪴⫏≰11220021=⫏≰212222212111211","layer":3},{"info":"NaN⫸⊐⫏≰212222212111211=NaN","layer":2},{"info":"⫏≰20202010⋫=⫏≰20202010","layer":3},{"info":"⫏≰11222201≭⫏≰2202111=NaN","layer":3},{"info":"⫏≰20202010⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⫏≰111101120≎⊠⪸⫏≰2101101=⫏≰11202102121101","layer":3},{"info":"⫏≰20220120*⫏≰2011120=⫏≰112222120212100","layer":3},{"info":"⫏≰11202102121101⨪↰⇹⫏≰112222120212100=NaN","layer":2},{"info":"⫏≰2102122-⫏≰1210010=⫏≰122112","layer":3},{"info":"⫏≰1111020*⫏≰20200120=⫏≰100221222100100","layer":3},{"info":"⫏≰122112%⫏≰100221222100100=⫏≰122112","layer":2},{"info":"NaN≧⫂∧⫏≰122112=⫏≰0","layer":1},{"info":"NaN∲⫓⫏≰0=NaN","layer":0}]}
{"id":773,"expression_no_base_symbol":"-($1131$⇼⇔∾$5103$)⋳⪒$6768$⪮%⊝$5095$⨎($3652$⋝⋈⪟$1749$)∑⇟⊟(⫛⫱⨽$1059$)","expression":"-(⫏≰1112220⇼⇔∾⫏≰21000000)⋳⪒⫏≰100021200⪮%⊝⫏≰20222201⨎(⫏≰12000021⋝⋈⪟⫏≰2101210)∑⇟⊟(⫛⫱⨽⫏≰1110020)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1446,"operation_count":8,"complexity_ratio":180.75,"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":1131,"base":3},"right_expr":{"type":"numeric_atoms","value":5103,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6768,"base":3},"right_expr":{"type":"numeric_atoms","value":5095,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3652,"base":3},"right_expr":{"type":"numeric_atoms","value":1749,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1059,"base":3}}}}},"used_operators":["t8gj7n24qd","rJVOvQCfKK","12rbrZMWeM","tifHPKVTfV","IWmyXbctLI","U7g4x0WXJJ","2DDjHMKMc0","DlLNRPXxWL"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⫏≰-12000021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1131","layer":4},{"info":"number node, value=5103","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=5103, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3972","layer":3},{"info":"number node, value=6768","layer":4},{"info":"number node, value=5095","layer":4},{"info":"compute binary expreesion, left_input=6768, right_input=5095, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13852","layer":3},{"info":"compute binary expreesion, left_input=3972, right_input=13852, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6195","layer":2},{"info":"number node, value=3652","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=3652, right_input=1749, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3652","layer":3},{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3652, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=3652","layer":2},{"info":"compute binary expreesion, left_input=-6195, right_input=3652, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3652","layer":1},{"info":"compute unary expreesion, input=3652, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3652","layer":0}],"base":3,"result_base":3,"text":"-(⫏≰1112220⇼⇔∾⫏≰21000000)⋳⪒⫏≰100021200⪮%⊝⫏≰20222201⨎(⫏≰12000021⋝⋈⪟⫏≰2101210)∑⇟⊟(⫛⫱⨽⫏≰1110020)=⫏≰-12000021","reverse_text":"⫏≰-12000021=-(⫏≰1112220⇼⇔∾⫏≰21000000)⋳⪒⫏≰100021200⪮%⊝⫏≰20222201⨎(⫏≰12000021⋝⋈⪟⫏≰2101210)∑⇟⊟(⫛⫱⨽⫏≰1110020)","cot":[{"info":"⫏≰1112220⇼⇔∾⫏≰21000000=⫏≰12110010","layer":3},{"info":"⫏≰100021200⪮%⊝⫏≰20222201=⫏≰201000001","layer":3},{"info":"⫏≰12110010⋳⪒⫏≰201000001=⫏≰-22111110","layer":2},{"info":"⫏≰12000021⋝⋈⪟⫏≰2101210=⫏≰12000021","layer":3},{"info":"⫛⫱⨽⫏≰1110020=⫏≰0","layer":3},{"info":"⫏≰12000021∑⇟⊟⫏≰0=⫏≰12000021","layer":2},{"info":"⫏≰-22111110⨎⫏≰12000021=⫏≰12000021","layer":1},{"info":"-⫏≰12000021=⫏≰-12000021","layer":0}]}
{"id":774,"expression_no_base_symbol":"((-$1116$)⨳⩥⨓($1007$⋷$1049$)↺($8028$⨎$1039$)≹⇙⪍($1946$⊴$3550$))⩷∴(((⇁⨣⪵$3649$)⪨≂($3247$⊪))⫸⊐($1543$+$1979$)↺($5113$⫌⩹⨱))","expression":"((-⫏≰1112100)⨳⩥⨓(⫏≰1101022⋷⫏≰1102212)↺(⫏≰102000100⨎⫏≰1102111)≹⇙⪍(⫏≰2200002⊴⫏≰11212111))⩷∴(((⇁⨣⪵⫏≰12000011)⪨≂(⫏≰11110021⊪))⫸⊐(⫏≰2010011+⫏≰2201022)↺(⫏≰21000101⫌⩹⨱))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3626,"operation_count":15,"complexity_ratio":241.73333333333332,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1116,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1007,"base":3},"right_expr":{"type":"numeric_atoms","value":1049,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8028,"base":3},"right_expr":{"type":"numeric_atoms","value":1039,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1946,"base":3},"right_expr":{"type":"numeric_atoms","value":3550,"base":3}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3649,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3247,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1543,"base":3},"right_expr":{"type":"numeric_atoms","value":1979,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5113,"base":3}}}}},"used_operators":["9FxExcQeMw","7j4O788W3g","nCS4ZIUYfx","t8gj7n24qd","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","Nsiff2A1zJ","mqXw5SEYmG","sdazOOVcIp","inkyxCbjAn","zVYPLywUTj","W4YGzv6Whe","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1116","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1049, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1091","layer":3},{"info":"compute binary expreesion, left_input=-1116, right_input=1091, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2207","layer":2},{"info":"number node, value=8028","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=8028, right_input=1039, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1039","layer":3},{"info":"number node, value=1946","layer":4},{"info":"number node, value=3550","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=3550, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1039, 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=2207, 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=3649","layer":4},{"info":"compute unary expreesion, input=3649, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3247","layer":4},{"info":"compute unary expreesion, input=3247, 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 = 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=1543","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=1979, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3522","layer":3},{"info":"number node, value=5113","layer":4},{"info":"compute unary expreesion, input=5113, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11627","layer":3},{"info":"compute binary expreesion, left_input=3522, right_input=11627, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=11627","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11627, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((-⫏≰1112100)⨳⩥⨓(⫏≰1101022⋷⫏≰1102212)↺(⫏≰102000100⨎⫏≰1102111)≹⇙⪍(⫏≰2200002⊴⫏≰11212111))⩷∴(((⇁⨣⪵⫏≰12000011)⪨≂(⫏≰11110021⊪))⫸⊐(⫏≰2010011+⫏≰2201022)↺(⫏≰21000101⫌⩹⨱))=NaN","reverse_text":"NaN=((-⫏≰1112100)⨳⩥⨓(⫏≰1101022⋷⫏≰1102212)↺(⫏≰102000100⨎⫏≰1102111)≹⇙⪍(⫏≰2200002⊴⫏≰11212111))⩷∴(((⇁⨣⪵⫏≰12000011)⪨≂(⫏≰11110021⊪))⫸⊐(⫏≰2010011+⫏≰2201022)↺(⫏≰21000101⫌⩹⨱))","cot":[{"info":"-⫏≰1112100=⫏≰-1112100","layer":3},{"info":"⫏≰1101022⋷⫏≰1102212=⫏≰1111102","layer":3},{"info":"⫏≰-1112100⨳⩥⨓⫏≰1111102=⫏≰10000202","layer":2},{"info":"⫏≰102000100⨎⫏≰1102111=⫏≰1102111","layer":3},{"info":"⫏≰2200002⊴⫏≰11212111=NaN","layer":3},{"info":"⫏≰1102111≹⇙⪍NaN=NaN","layer":2},{"info":"⫏≰10000202↺NaN=NaN","layer":1},{"info":"⇁⨣⪵⫏≰12000011=NaN","layer":3},{"info":"⫏≰11110021⊪=⫏≰0","layer":3},{"info":"NaN⪨≂⫏≰0=NaN","layer":2},{"info":"⫏≰2010011+⫏≰2201022=⫏≰11211110","layer":3},{"info":"⫏≰21000101⫌⩹⨱=⫏≰120221122","layer":3},{"info":"⫏≰11211110↺⫏≰120221122=⫏≰120221122","layer":2},{"info":"NaN⫸⊐⫏≰120221122=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":775,"expression_no_base_symbol":"((⊄⩳↩($1567$⊘))⨵⪆$5965$⨰$2885$≭($2252$⊉≛↸$1087$))⊉≛↸(⨵≀≌(⊄⩳↩$1609$)⨓(⪲⇎$1704$))","expression":"((⊄⩳↩(⫏≰2011001⊘))⨵⪆⫏≰22011221⨰⫏≰10221212≭(⫏≰10002102⊉≛↸⫏≰1111021))⊉≛↸(⨵≀≌(⊄⩳↩⫏≰2012121)⨓(⪲⇎⫏≰2100010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6869,"operation_count":11,"complexity_ratio":624.4545454545455,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1567,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5965,"base":3},"right_expr":{"type":"numeric_atoms","value":2885,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2252,"base":3},"right_expr":{"type":"numeric_atoms","value":1087,"base":3}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1609,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1704,"base":3}}}}},"used_operators":["DZ8iAZOCBD","2DQ55sFlQl","8w2t5hMYqp","gu96TGCTMs","rxpJgHHUmx","eewbuw0ToL","srAu1WTS94","3ViojmjbAp","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰102212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1567","layer":4},{"info":"compute unary expreesion, input=1567, 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":"number node, value=5965","layer":4},{"info":"number node, value=2885","layer":4},{"info":"compute binary expreesion, left_input=5965, right_input=2885, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3090","layer":3},{"info":"number node, value=2252","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=2252, right_input=1087, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4504","layer":3},{"info":"compute binary expreesion, left_input=3090, right_input=4504, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4827","layer":3},{"info":"number node, value=1704","layer":4},{"info":"compute unary expreesion, input=1704, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3408","layer":3},{"info":"compute binary expreesion, left_input=-4827, right_input=3408, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3411","layer":2},{"info":"compute unary expreesion, input=-3411, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=11634921","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=11634921, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":0}],"base":3,"result_base":3,"text":"((⊄⩳↩(⫏≰2011001⊘))⨵⪆⫏≰22011221⨰⫏≰10221212≭(⫏≰10002102⊉≛↸⫏≰1111021))⊉≛↸(⨵≀≌(⊄⩳↩⫏≰2012121)⨓(⪲⇎⫏≰2100010))=⫏≰102212","reverse_text":"⫏≰102212=((⊄⩳↩(⫏≰2011001⊘))⨵⪆⫏≰22011221⨰⫏≰10221212≭(⫏≰10002102⊉≛↸⫏≰1111021))⊉≛↸(⨵≀≌(⊄⩳↩⫏≰2012121)⨓(⪲⇎⫏≰2100010))","cot":[{"info":"⫏≰2011001⊘=⫏≰0","layer":3},{"info":"⊄⩳↩⫏≰0=⫏≰0","layer":2},{"info":"⫏≰22011221⨰⫏≰10221212=⫏≰11020110","layer":3},{"info":"⫏≰10002102⊉≛↸⫏≰1111021=⫏≰20011211","layer":3},{"info":"⫏≰11020110≭⫏≰20011211=NaN","layer":2},{"info":"⫏≰0⨵⪆NaN=⫏≰12221","layer":1},{"info":"⊄⩳↩⫏≰2012121=⫏≰-20121210","layer":3},{"info":"⪲⇎⫏≰2100010=⫏≰11200020","layer":3},{"info":"⫏≰-20121210⨓⫏≰11200020=⫏≰-11200100","layer":2},{"info":"⨵≀≌⫏≰-11200100=⫏≰210220010010000","layer":1},{"info":"⫏≰12221⊉≛↸⫏≰210220010010000=⫏≰102212","layer":0}]}
{"id":776,"expression_no_base_symbol":"(($2403$⫡⨏$8429$)≎⊠⪸($4111$⨽$1962$)*(⨰⫟⨤$2108$)⨎($1712$⨐⩸⫘$8949$))∸","expression":"((⫏≰10022000⫡⨏⫏≰102120012)≎⊠⪸(⫏≰12122021⨽⫏≰2200200)*(⨰⫟⨤⫏≰2220002)⨎(⫏≰2100102⨐⩸⫘⫏≰110021110))∸","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11910,"operation_count":8,"complexity_ratio":1488.75,"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":2403,"base":3},"right_expr":{"type":"numeric_atoms","value":8429,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4111,"base":3},"right_expr":{"type":"numeric_atoms","value":1962,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2108,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1712,"base":3},"right_expr":{"type":"numeric_atoms","value":8949,"base":3}}}}},"used_operators":["o20kRiQErp","9HNa5Wba9A","bJkvcejdHO","QMFrweE19q","8HhzD0ZcuI","rJVOvQCfKK","Tw270M8GLb","fu6greOZ01"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","3ViojmjbAp"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2403","layer":4},{"info":"number node, value=8429","layer":4},{"info":"compute binary expreesion, left_input=2403, right_input=8429, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=29656","layer":3},{"info":"number node, value=4111","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=4111, right_input=1962, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-50705535","layer":3},{"info":"compute binary expreesion, left_input=29656, right_input=-50705535, 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=2108","layer":4},{"info":"compute unary expreesion, input=2108, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1712","layer":4},{"info":"number node, value=8949","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=8949, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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=67, 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":3,"result_base":3,"text":"((⫏≰10022000⫡⨏⫏≰102120012)≎⊠⪸(⫏≰12122021⨽⫏≰2200200)*(⨰⫟⨤⫏≰2220002)⨎(⫏≰2100102⨐⩸⫘⫏≰110021110))∸=⫏≰20120","reverse_text":"⫏≰20120=((⫏≰10022000⫡⨏⫏≰102120012)≎⊠⪸(⫏≰12122021⨽⫏≰2200200)*(⨰⫟⨤⫏≰2220002)⨎(⫏≰2100102⨐⩸⫘⫏≰110021110))∸","cot":[{"info":"⫏≰10022000⫡⨏⫏≰102120012=⫏≰1111200101","layer":3},{"info":"⫏≰12122021⨽⫏≰2200200=⫏≰-10112102002220210","layer":3},{"info":"⫏≰1111200101≎⊠⪸⫏≰-10112102002220210=⫏≰2111","layer":2},{"info":"⨰⫟⨤⫏≰2220002=NaN","layer":3},{"info":"⫏≰2100102⨐⩸⫘⫏≰110021110=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"⫏≰2111*NaN=NaN","layer":1},{"info":"NaN∸=⫏≰20120","layer":0}]}
{"id":777,"expression_no_base_symbol":"∥⊫((↯⪼$6757$)⊭∹↮)⋝⋈⪟($5824$↺$2577$⨵⪆$5493$⪮%⊝$1888$)","expression":"∥⊫((↯⪼⫏≰100021021)⊭∹↮)⋝⋈⪟(⫏≰21222201↺⫏≰10112110⨵⪆⫏≰21112110⪮%⊝⫏≰2120221)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":51,"operation_count":7,"complexity_ratio":7.285714285714286,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6757,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5824,"base":3},"right_expr":{"type":"numeric_atoms","value":2577,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5493,"base":3},"right_expr":{"type":"numeric_atoms","value":1888,"base":3}}}}},"used_operators":["P8v4zCKN1o","2DDjHMKMc0","xNBdhnnwKq","8jW3W4yZS5","2DQ55sFlQl","7j4O788W3g","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫏≰1011101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6757","layer":4},{"info":"compute unary expreesion, input=6757, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-21","layer":2},{"info":"number node, value=5824","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=5824, right_input=2577, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2577","layer":3},{"info":"number node, value=5493","layer":4},{"info":"number node, value=1888","layer":4},{"info":"compute binary expreesion, left_input=5493, right_input=1888, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11302","layer":3},{"info":"compute binary expreesion, left_input=2577, right_input=11302, 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=-21, right_input=160, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=847","layer":0}],"base":3,"result_base":3,"text":"∥⊫((↯⪼⫏≰100021021)⊭∹↮)⋝⋈⪟(⫏≰21222201↺⫏≰10112110⨵⪆⫏≰21112110⪮%⊝⫏≰2120221)=⫏≰1011101","reverse_text":"⫏≰1011101=∥⊫((↯⪼⫏≰100021021)⊭∹↮)⋝⋈⪟(⫏≰21222201↺⫏≰10112110⨵⪆⫏≰21112110⪮%⊝⫏≰2120221)","cot":[{"info":"↯⪼⫏≰100021021=⫏≰-210","layer":3},{"info":"⫏≰-210⊭∹↮=⫏≰-210","layer":2},{"info":"⫏≰21222201↺⫏≰10112110=⫏≰10112110","layer":3},{"info":"⫏≰21112110⪮%⊝⫏≰2120221=⫏≰120111121","layer":3},{"info":"⫏≰10112110⨵⪆⫏≰120111121=⫏≰12221","layer":2},{"info":"⫏≰-210⋝⋈⪟⫏≰12221=⫏≰-210","layer":1},{"info":"∥⊫⫏≰-210=⫏≰1011101","layer":0}]}
{"id":778,"expression_no_base_symbol":"(($2684$+⇶⊼$1493$)⨪↰⇹(∂$2603$)⫩⊇)⋳⪒(($1071$⋳⪒$2397$⨳⩥⨓$1114$⨟⋌⩍$3064$)⩠)","expression":"((⫏≰10200102+⇶⊼⫏≰2001022)⨪↰⇹(∂⫏≰10120102)⫩⊇)⋳⪒((⫏≰1110200⋳⪒⫏≰10021210⨳⩥⨓⫏≰1112021⨟⋌⩍⫏≰11012111)⩠)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":41,"operation_count":9,"complexity_ratio":4.555555555555555,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2684,"base":3},"right_expr":{"type":"numeric_atoms","value":1493,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2603,"base":3}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1071,"base":3},"right_expr":{"type":"numeric_atoms","value":2397,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1114,"base":3},"right_expr":{"type":"numeric_atoms","value":3064,"base":3}}}}},"used_operators":["12rbrZMWeM","BjRHVeLaeN","tmPS8pqC7x","TpPTUOHfaN","Uaa54Peajs","sJAwomhLZr","nCS4ZIUYfx","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2684","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=1493, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2603","layer":4},{"info":"compute unary expreesion, input=2603, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"number node, value=1071","layer":4},{"info":"number node, value=2397","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=2397, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-542","layer":3},{"info":"number node, value=1114","layer":4},{"info":"number node, value=3064","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=3064, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=-542, 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=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10200102+⇶⊼⫏≰2001022)⨪↰⇹(∂⫏≰10120102)⫩⊇)⋳⪒((⫏≰1110200⋳⪒⫏≰10021210⨳⩥⨓⫏≰1112021⨟⋌⩍⫏≰11012111)⩠)=NaN","reverse_text":"NaN=((⫏≰10200102+⇶⊼⫏≰2001022)⨪↰⇹(∂⫏≰10120102)⫩⊇)⋳⪒((⫏≰1110200⋳⪒⫏≰10021210⨳⩥⨓⫏≰1112021⨟⋌⩍⫏≰11012111)⩠)","cot":[{"info":"⫏≰10200102+⇶⊼⫏≰2001022=NaN","layer":3},{"info":"∂⫏≰10120102=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"⫏≰1110200⋳⪒⫏≰10021210=⫏≰-202002","layer":3},{"info":"⫏≰1112021⨟⋌⩍⫏≰11012111=NaN","layer":3},{"info":"⫏≰-202002⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":779,"expression_no_base_symbol":"(⊄⩳↩($1500$∀⇚≩$1150$⨸⪁($4767$/$4016$)))≭(↩($4206$⪢$2050$⪨≂$2519$*$1224$))","expression":"(⊄⩳↩(⫏≰2001120∀⇚≩⫏≰1120121⨸⪁(⫏≰20112120/⫏≰12111202)))≭(↩(⫏≰12202210⪢⫏≰2210221⪨≂⫏≰10110022*⫏≰1200100))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14741,"operation_count":9,"complexity_ratio":1637.888888888889,"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":1500,"base":3},"right_expr":{"type":"numeric_atoms","value":1150,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4767,"base":3},"right_expr":{"type":"numeric_atoms","value":4016,"base":3}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4206,"base":3},"right_expr":{"type":"numeric_atoms","value":2050,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2519,"base":3},"right_expr":{"type":"numeric_atoms","value":1224,"base":3}}}}},"used_operators":["rxpJgHHUmx","8w2t5hMYqp","g55IO6H4Gj","LRNGc0VcxI","XhwjNDsVaA","jLgFTUHLKL","sdazOOVcIp","dWAJyo7jo9","9HNa5Wba9A"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1500","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=1150, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4767","layer":4},{"info":"number node, value=4016","layer":4},{"info":"compute binary expreesion, left_input=4767, right_input=4016, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+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=4206","layer":4},{"info":"number node, value=2050","layer":4},{"info":"compute binary expreesion, left_input=4206, right_input=2050, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2519","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=2519, right_input=1224, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3083256","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3083256, op_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 = 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"(⊄⩳↩(⫏≰2001120∀⇚≩⫏≰1120121⨸⪁(⫏≰20112120/⫏≰12111202)))≭(↩(⫏≰12202210⪢⫏≰2210221⪨≂⫏≰10110022*⫏≰1200100))=NaN","reverse_text":"NaN=(⊄⩳↩(⫏≰2001120∀⇚≩⫏≰1120121⨸⪁(⫏≰20112120/⫏≰12111202)))≭(↩(⫏≰12202210⪢⫏≰2210221⪨≂⫏≰10110022*⫏≰1200100))","cot":[{"info":"⫏≰2001120∀⇚≩⫏≰1120121=NaN","layer":3},{"info":"⫏≰20112120/⫏≰12111202=⫏≰1","layer":3},{"info":"NaN⨸⪁⫏≰1=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⫏≰12202210⪢⫏≰2210221=NaN","layer":3},{"info":"⫏≰10110022*⫏≰1200100=⫏≰12210122102200","layer":3},{"info":"NaN⪨≂⫏≰12210122102200=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":780,"expression_no_base_symbol":"(⫛⫱⨽((⊙↵-$6512$)∧))⪛(($4524$⩚⊴⇥$1976$⩚⊴⇥(⊥$3353$))⨓((⇁⨣⪵$9034$)⋓($1639$⫸⊐$3981$)))","expression":"(⫛⫱⨽((⊙↵-⫏≰22221012)∧))⪛((⫏≰20012120⩚⊴⇥⫏≰2201012⩚⊴⇥(⊥⫏≰11121012))⨓((⇁⨣⪵⫏≰110101121)⋓(⫏≰2020201⫸⊐⫏≰12110110)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8839,"operation_count":11,"complexity_ratio":803.5454545454545,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":6512,"base":3}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4524,"base":3},"right_expr":{"type":"numeric_atoms","value":1976,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3353,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":9034,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1639,"base":3},"right_expr":{"type":"numeric_atoms","value":3981,"base":3}}}}},"used_operators":["uFcxV4UQCh","DlLNRPXxWL","z63VuFQld9","oWn0xqSxBt","3ViojmjbAp","NTOWxs364D","Q3PJZHRvZv","T2fj7uvVaJ","inkyxCbjAn","mqXw5SEYmG"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6512","layer":4},{"info":"compute unary expreesion, input=6512, 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 = 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=4524","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=4524, right_input=1976, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6621","layer":3},{"info":"number node, value=3353","layer":4},{"info":"compute unary expreesion, input=3353, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6621, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=9034","layer":4},{"info":"compute unary expreesion, input=9034, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1639","layer":4},{"info":"number node, value=3981","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=3981, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15799","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15799, op_id = T2fj7uvVaJ 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 = 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫛⫱⨽((⊙↵-⫏≰22221012)∧))⪛((⫏≰20012120⩚⊴⇥⫏≰2201012⩚⊴⇥(⊥⫏≰11121012))⨓((⇁⨣⪵⫏≰110101121)⋓(⫏≰2020201⫸⊐⫏≰12110110)))=NaN","reverse_text":"NaN=(⫛⫱⨽((⊙↵-⫏≰22221012)∧))⪛((⫏≰20012120⩚⊴⇥⫏≰2201012⩚⊴⇥(⊥⫏≰11121012))⨓((⇁⨣⪵⫏≰110101121)⋓(⫏≰2020201⫸⊐⫏≰12110110)))","cot":[{"info":"⊙↵-⫏≰22221012=⫏≰-1","layer":3},{"info":"⫏≰-1∧=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⫏≰20012120⩚⊴⇥⫏≰2201012=⫏≰-100002020","layer":3},{"info":"⊥⫏≰11121012=NaN","layer":3},{"info":"⫏≰-100002020⩚⊴⇥NaN=NaN","layer":2},{"info":"⇁⨣⪵⫏≰110101121=NaN","layer":3},{"info":"⫏≰2020201⫸⊐⫏≰12110110=⫏≰210200011","layer":3},{"info":"NaN⋓⫏≰210200011=⫏≰0","layer":2},{"info":"NaN⨓⫏≰0=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":781,"expression_no_base_symbol":"((⊄⩳↩($1329$⨵⪆$1092$))⪒(⨈⫕$2953$)⋓($2980$⋳⪒$1440$))⇼⇔∾(↯⪼($2288$≭$1904$⨸⪁$1294$↙$6583$))","expression":"((⊄⩳↩(⫏≰1211020⨵⪆⫏≰1111110))⪒(⨈⫕⫏≰11001101)⋓(⫏≰11002101⋳⪒⫏≰1222100))⇼⇔∾(↯⪼(⫏≰10010202≭⫏≰2121112⨸⪁⫏≰1202221↙⫏≰100000211))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7036,"operation_count":11,"complexity_ratio":639.6363636363636,"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":1329,"base":3},"right_expr":{"type":"numeric_atoms","value":1092,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2953,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2980,"base":3},"right_expr":{"type":"numeric_atoms","value":1440,"base":3}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2288,"base":3},"right_expr":{"type":"numeric_atoms","value":1904,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1294,"base":3},"right_expr":{"type":"numeric_atoms","value":6583,"base":3}}}}},"used_operators":["tifHPKVTfV","f6k1SAg4EE","8w2t5hMYqp","2DQ55sFlQl","T2fj7uvVaJ","megm06wKyl","12rbrZMWeM","8jW3W4yZS5","g55IO6H4Gj","rxpJgHHUmx","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY"],"result":"⫏≰-200120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1329","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=1092, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-480","layer":2},{"info":"number node, value=2953","layer":4},{"info":"compute unary expreesion, input=2953, 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=2980","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=1440, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4233","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=4233, op_id = T2fj7uvVaJ 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=-480, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=480","layer":1},{"info":"number node, value=2288","layer":4},{"info":"number node, value=1904","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=1904, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1294","layer":4},{"info":"number node, value=6583","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=6583, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19749","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-19749, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+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":"compute binary expreesion, left_input=480, right_input=-21, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-501","layer":0}],"base":3,"result_base":3,"text":"((⊄⩳↩(⫏≰1211020⨵⪆⫏≰1111110))⪒(⨈⫕⫏≰11001101)⋓(⫏≰11002101⋳⪒⫏≰1222100))⇼⇔∾(↯⪼(⫏≰10010202≭⫏≰2121112⨸⪁⫏≰1202221↙⫏≰100000211))=⫏≰-200120","reverse_text":"⫏≰-200120=((⊄⩳↩(⫏≰1211020⨵⪆⫏≰1111110))⪒(⨈⫕⫏≰11001101)⋓(⫏≰11002101⋳⪒⫏≰1222100))⇼⇔∾(↯⪼(⫏≰10010202≭⫏≰2121112⨸⪁⫏≰1202221↙⫏≰100000211))","cot":[{"info":"⫏≰1211020⨵⪆⫏≰1111110=⫏≰12221","layer":3},{"info":"⊄⩳↩⫏≰12221=⫏≰-122210","layer":2},{"info":"⨈⫕⫏≰11001101=⫏≰-210","layer":3},{"info":"⫏≰11002101⋳⪒⫏≰1222100=⫏≰12210210","layer":3},{"info":"⫏≰-210⋓⫏≰12210210=⫏≰0","layer":2},{"info":"⫏≰-122210⪒⫏≰0=⫏≰122210","layer":1},{"info":"⫏≰10010202≭⫏≰2121112=NaN","layer":3},{"info":"⫏≰1202221↙⫏≰100000211=⫏≰-1000002110","layer":3},{"info":"NaN⨸⪁⫏≰-1000002110=NaN","layer":2},{"info":"↯⪼NaN=⫏≰-210","layer":1},{"info":"⫏≰122210⇼⇔∾⫏≰-210=⫏≰-200120","layer":0}]}
{"id":782,"expression_no_base_symbol":"(⫛⫱⨽$2886$)⫸⊐($2947$≋⫹)⨸⪁(($3970$⋷$2164$)⩠)⊭↱(⨞⊢(($3779$*$3502$)⪠⩆⊳))","expression":"(⫛⫱⨽⫏≰10221220)⫸⊐(⫏≰11001011≋⫹)⨸⪁((⫏≰12110001⋷⫏≰2222011)⩠)⊭↱(⨞⊢((⫏≰12011222*⫏≰11210201)⪠⩆⊳))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4968,"operation_count":10,"complexity_ratio":496.8,"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":2886,"base":3}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2947,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3970,"base":3},"right_expr":{"type":"numeric_atoms","value":2164,"base":3}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3779,"base":3},"right_expr":{"type":"numeric_atoms","value":3502,"base":3}}}}},"used_operators":["COABgblf1C","g55IO6H4Gj","mqXw5SEYmG","DlLNRPXxWL","N41Kp7NANJ","sJAwomhLZr","23Mk6UjR3U","xUOZtlo3hN","JLbD19bQDL","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫏≰20020111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2886","layer":4},{"info":"compute unary expreesion, input=2886, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2947","layer":4},{"info":"compute unary expreesion, input=2947, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5894","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5894, 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=3970","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=3970, right_input=2164, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=358","layer":3},{"info":"compute unary expreesion, input=358, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=-1223","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1223, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2446","layer":1},{"info":"number node, value=3779","layer":4},{"info":"number node, value=3502","layer":4},{"info":"compute binary expreesion, left_input=3779, right_input=3502, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13234058","layer":3},{"info":"compute unary expreesion, input=13234058, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=-2446, right_input=-174, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4549","layer":0}],"base":3,"result_base":3,"text":"(⫛⫱⨽⫏≰10221220)⫸⊐(⫏≰11001011≋⫹)⨸⪁((⫏≰12110001⋷⫏≰2222011)⩠)⊭↱(⨞⊢((⫏≰12011222*⫏≰11210201)⪠⩆⊳))=⫏≰20020111","reverse_text":"⫏≰20020111=(⫛⫱⨽⫏≰10221220)⫸⊐(⫏≰11001011≋⫹)⨸⪁((⫏≰12110001⋷⫏≰2222011)⩠)⊭↱(⨞⊢((⫏≰12011222*⫏≰11210201)⪠⩆⊳))","cot":[{"info":"⫛⫱⨽⫏≰10221220=⫏≰0","layer":3},{"info":"⫏≰11001011≋⫹=⫏≰-22002022","layer":3},{"info":"⫏≰0⫸⊐⫏≰-22002022=⫏≰0","layer":2},{"info":"⫏≰12110001⋷⫏≰2222011=⫏≰111021","layer":3},{"info":"⫏≰111021⩠=⫏≰-1200022","layer":2},{"info":"⫏≰0⨸⪁⫏≰-1200022=⫏≰-10100121","layer":1},{"info":"⫏≰12011222*⫏≰11210201=⫏≰220220100201022","layer":3},{"info":"⫏≰220220100201022⪠⩆⊳=⫏≰0","layer":2},{"info":"⨞⊢⫏≰0=⫏≰-20110","layer":1},{"info":"⫏≰-10100121⊭↱⫏≰-20110=⫏≰20020111","layer":0}]}
{"id":783,"expression_no_base_symbol":"(⨵≀≌($4272$⋳⪒$1654$⊠≄⫣))⨐⩸⫘((∂($3234$⋓$4469$))⨳⩥⨓(⊄⩳↩$1197$)∑⇟⊟($5233$⪨≂$4768$))","expression":"(⨵≀≌(⫏≰12212020⋳⪒⫏≰2021021⊠≄⫣))⨐⩸⫘((∂(⫏≰11102210⋓⫏≰20010112))⨳⩥⨓(⊄⩳↩⫏≰1122100)∑⇟⊟(⫏≰21011211⪨≂⫏≰20112121))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":459,"operation_count":10,"complexity_ratio":45.9,"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":4272,"base":3},"right_expr":{"type":"numeric_atoms","value":1654,"base":3}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3234,"base":3},"right_expr":{"type":"numeric_atoms","value":4469,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1197,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5233,"base":3},"right_expr":{"type":"numeric_atoms","value":4768,"base":3}}}}},"used_operators":["fu6greOZ01","srAu1WTS94","DIvbN7qnHd","12rbrZMWeM","nCS4ZIUYfx","Uaa54Peajs","T2fj7uvVaJ","U7g4x0WXJJ","8w2t5hMYqp","sdazOOVcIp"],"dependent_operators":["3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4272","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=4272, right_input=1654, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6603","layer":3},{"info":"compute unary expreesion, input=6603, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"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":1},{"info":"number node, value=3234","layer":4},{"info":"number node, value=4469","layer":4},{"info":"compute binary expreesion, left_input=3234, right_input=4469, op_id = T2fj7uvVaJ 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-264","layer":2},{"info":"number node, value=1197","layer":4},{"info":"compute unary expreesion, input=1197, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3591","layer":3},{"info":"number node, value=5233","layer":4},{"info":"number node, value=4768","layer":4},{"info":"compute binary expreesion, left_input=5233, right_input=4768, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1032","layer":3},{"info":"compute binary expreesion, left_input=-3591, right_input=1032, 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=-264, 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=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":3,"result_base":3,"text":"(⨵≀≌(⫏≰12212020⋳⪒⫏≰2021021⊠≄⫣))⨐⩸⫘((∂(⫏≰11102210⋓⫏≰20010112))⨳⩥⨓(⊄⩳↩⫏≰1122100)∑⇟⊟(⫏≰21011211⪨≂⫏≰20112121))=NaN","reverse_text":"NaN=(⨵≀≌(⫏≰12212020⋳⪒⫏≰2021021⊠≄⫣))⨐⩸⫘((∂(⫏≰11102210⋓⫏≰20010112))⨳⩥⨓(⊄⩳↩⫏≰1122100)∑⇟⊟(⫏≰21011211⪨≂⫏≰20112121))","cot":[{"info":"⫏≰12212020⋳⪒⫏≰2021021=⫏≰100001120","layer":3},{"info":"⫏≰100001120⊠≄⫣=⫏≰0","layer":2},{"info":"⨵≀≌⫏≰0=⫏≰0","layer":1},{"info":"⫏≰11102210⋓⫏≰20010112=⫏≰0","layer":3},{"info":"∂⫏≰0=⫏≰-100210","layer":2},{"info":"⊄⩳↩⫏≰1122100=⫏≰-11221000","layer":3},{"info":"⫏≰21011211⪨≂⫏≰20112121=⫏≰1102020","layer":3},{"info":"⫏≰-11221000∑⇟⊟⫏≰1102020=NaN","layer":2},{"info":"⫏≰-100210⨳⩥⨓NaN=NaN","layer":1},{"info":"⫏≰0⨐⩸⫘NaN=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"(-($1811$⇋≉)⨸⪁($1535$⫡⨏$4378$))+⇶⊼(($2805$⨸⪁$6574$)≭($5097$⇼⇔∾$1100$)≭($1012$≧⫂∧$3038$⫸⊐(⋗⩬⋾$5313$)))","expression":"(-(⫏≰2111002⇋≉)⨸⪁(⫏≰2002212⫡⨏⫏≰20000011))+⇶⊼((⫏≰10211220⨸⪁⫏≰100000111)≭(⫏≰20222210⇼⇔∾⫏≰1111202)≭(⫏≰1101111≧⫂∧⫏≰11011112⫸⊐(⋗⩬⋾⫏≰21021210)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":48,"operation_count":12,"complexity_ratio":4.0,"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":1811,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1535,"base":3},"right_expr":{"type":"numeric_atoms","value":4378,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2805,"base":3},"right_expr":{"type":"numeric_atoms","value":6574,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5097,"base":3},"right_expr":{"type":"numeric_atoms","value":1100,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1012,"base":3},"right_expr":{"type":"numeric_atoms","value":3038,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5313,"base":3}}}}},"used_operators":["TpPTUOHfaN","t8gj7n24qd","g55IO6H4Gj","XIabStNQrY","QMFrweE19q","rxpJgHHUmx","tifHPKVTfV","mqXw5SEYmG","Ph9nP6C5qx","DpFCA1CohY"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1811","layer":4},{"info":"compute unary expreesion, input=1811, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3524","layer":3},{"info":"number node, value=1535","layer":4},{"info":"number node, value=4378","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=4378, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17214","layer":3},{"info":"compute binary expreesion, left_input=3524, right_input=17214, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=41476","layer":2},{"info":"compute unary expreesion, input=41476, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-41476","layer":1},{"info":"number node, value=2805","layer":4},{"info":"number node, value=6574","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=6574, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18758","layer":3},{"info":"number node, value=5097","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=5097, right_input=1100, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3997","layer":3},{"info":"compute binary expreesion, left_input=18758, right_input=-3997, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1012","layer":4},{"info":"number node, value=3038","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=3038, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2565","layer":3},{"info":"number node, value=5313","layer":4},{"info":"compute unary expreesion, input=5313, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15939","layer":3},{"info":"compute binary expreesion, left_input=2565, right_input=-15939, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-32007","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-32007, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-41476, 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":3,"result_base":3,"text":"(-(⫏≰2111002⇋≉)⨸⪁(⫏≰2002212⫡⨏⫏≰20000011))+⇶⊼((⫏≰10211220⨸⪁⫏≰100000111)≭(⫏≰20222210⇼⇔∾⫏≰1111202)≭(⫏≰1101111≧⫂∧⫏≰11011112⫸⊐(⋗⩬⋾⫏≰21021210)))=NaN","reverse_text":"NaN=(-(⫏≰2111002⇋≉)⨸⪁(⫏≰2002212⫡⨏⫏≰20000011))+⇶⊼((⫏≰10211220⨸⪁⫏≰100000111)≭(⫏≰20222210⇼⇔∾⫏≰1111202)≭(⫏≰1101111≧⫂∧⫏≰11011112⫸⊐(⋗⩬⋾⫏≰21021210)))","cot":[{"info":"⫏≰2111002⇋≉=⫏≰11211112","layer":3},{"info":"⫏≰2002212⫡⨏⫏≰20000011=⫏≰212121120","layer":3},{"info":"⫏≰11211112⨸⪁⫏≰212121120=⫏≰2002220011","layer":2},{"info":"-⫏≰2002220011=⫏≰-2002220011","layer":1},{"info":"⫏≰10211220⨸⪁⫏≰100000111=⫏≰221201202","layer":3},{"info":"⫏≰20222210⇼⇔∾⫏≰1111202=⫏≰-12111001","layer":3},{"info":"⫏≰221201202≭⫏≰-12111001=NaN","layer":2},{"info":"⫏≰1101111≧⫂∧⫏≰11011112=⫏≰10112000","layer":3},{"info":"⋗⩬⋾⫏≰21021210=⫏≰-210212100","layer":3},{"info":"⫏≰10112000⫸⊐⫏≰-210212100=⫏≰-1121220110","layer":2},{"info":"NaN≭⫏≰-1121220110=NaN","layer":1},{"info":"⫏≰-2002220011+⇶⊼NaN=NaN","layer":0}]}
{"id":785,"expression_no_base_symbol":"(($4293$⋫)+$1353$⨸⪁$1624$)↺(⨵≀≌$2096$)≎⊠⪸$3030$⇷$2909$⨳⩥⨓($5307$⨓$3514$≎⊠⪸(⇁⨣⪵$2695$))⨪↰⇹($1754$⇼⇔∾$3413$⨵⪆(≤/$1121$))","expression":"((⫏≰12220000⋫)+⫏≰1212010⨸⪁⫏≰2020011)↺(⨵≀≌⫏≰2212122)≎⊠⪸⫏≰11011020⇷⫏≰10222202⨳⩥⨓(⫏≰21021120⨓⫏≰11211011≎⊠⪸(⇁⨣⪵⫏≰10200211))⨪↰⇹(⫏≰2101222⇼⇔∾⫏≰11200102⨵⪆(≤/⫏≰1112112))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":50605,"operation_count":15,"complexity_ratio":3373.6666666666665,"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":4293,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1353,"base":3},"right_expr":{"type":"numeric_atoms","value":1624,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2096,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3030,"base":3},"right_expr":{"type":"numeric_atoms","value":2909,"base":3}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5307,"base":3},"right_expr":{"type":"numeric_atoms","value":3514,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2695,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1754,"base":3},"right_expr":{"type":"numeric_atoms","value":3413,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1121,"base":3}}}}},"used_operators":["nCS4ZIUYfx","7j4O788W3g","W4YGzv6Whe","JL8yIekQnl","g55IO6H4Gj","bJkvcejdHO","srAu1WTS94","mp7IySMOzn","tmPS8pqC7x","3ViojmjbAp","inkyxCbjAn","2DQ55sFlQl","tifHPKVTfV","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫏≰-10001201220202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4293","layer":4},{"info":"compute unary expreesion, input=4293, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4293","layer":3},{"info":"number node, value=1353","layer":4},{"info":"number node, value=1624","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=1624, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5954","layer":3},{"info":"compute binary expreesion, left_input=4293, right_input=5954, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10247","layer":2},{"info":"number node, value=2096","layer":4},{"info":"compute unary expreesion, input=2096, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6288","layer":3},{"info":"number node, value=3030","layer":4},{"info":"number node, value=2909","layer":4},{"info":"compute binary expreesion, left_input=3030, right_input=2909, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5818","layer":3},{"info":"compute binary expreesion, left_input=-6288, right_input=5818, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1628592","layer":2},{"info":"compute binary expreesion, left_input=10247, right_input=1628592, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1628592","layer":1},{"info":"number node, value=5307","layer":4},{"info":"number node, value=3514","layer":4},{"info":"compute binary expreesion, left_input=5307, right_input=3514, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3517","layer":3},{"info":"number node, value=2695","layer":4},{"info":"compute unary expreesion, input=2695, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3517, 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=1754","layer":4},{"info":"number node, value=3413","layer":4},{"info":"compute binary expreesion, left_input=1754, right_input=3413, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1659","layer":3},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-637","layer":3},{"info":"compute binary expreesion, left_input=1659, right_input=-637, 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=67, 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=67","layer":1},{"info":"compute binary expreesion, left_input=1628592, right_input=67, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1628525","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12220000⋫)+⫏≰1212010⨸⪁⫏≰2020011)↺(⨵≀≌⫏≰2212122)≎⊠⪸⫏≰11011020⇷⫏≰10222202⨳⩥⨓(⫏≰21021120⨓⫏≰11211011≎⊠⪸(⇁⨣⪵⫏≰10200211))⨪↰⇹(⫏≰2101222⇼⇔∾⫏≰11200102⨵⪆(≤/⫏≰1112112))=⫏≰-10001201220202","reverse_text":"⫏≰-10001201220202=((⫏≰12220000⋫)+⫏≰1212010⨸⪁⫏≰2020011)↺(⨵≀≌⫏≰2212122)≎⊠⪸⫏≰11011020⇷⫏≰10222202⨳⩥⨓(⫏≰21021120⨓⫏≰11211011≎⊠⪸(⇁⨣⪵⫏≰10200211))⨪↰⇹(⫏≰2101222⇼⇔∾⫏≰11200102⨵⪆(≤/⫏≰1112112))","cot":[{"info":"⫏≰12220000⋫=⫏≰12220000","layer":3},{"info":"⫏≰1212010⨸⪁⫏≰2020011=⫏≰22011112","layer":3},{"info":"⫏≰12220000+⫏≰22011112=⫏≰112001112","layer":2},{"info":"⨵≀≌⫏≰2212122=⫏≰-22121220","layer":3},{"info":"⫏≰11011020⇷⫏≰10222202=⫏≰21222111","layer":3},{"info":"⫏≰-22121220≎⊠⪸⫏≰21222111=⫏≰10001202000020","layer":2},{"info":"⫏≰112001112↺⫏≰10001202000020=⫏≰10001202000020","layer":1},{"info":"⫏≰21021120⨓⫏≰11211011=⫏≰-11211021","layer":3},{"info":"⇁⨣⪵⫏≰10200211=NaN","layer":3},{"info":"⫏≰-11211021≎⊠⪸NaN=⫏≰2111","layer":2},{"info":"⫏≰2101222⇼⇔∾⫏≰11200102=⫏≰2021110","layer":3},{"info":"≤/⫏≰1112112=⫏≰-212121","layer":3},{"info":"⫏≰2021110⨵⪆⫏≰-212121=⫏≰12221","layer":2},{"info":"⫏≰2111⨪↰⇹⫏≰12221=⫏≰2111","layer":1},{"info":"⫏≰10001202000020⨳⩥⨓⫏≰2111=⫏≰-10001201220202","layer":0}]}
{"id":786,"expression_no_base_symbol":"⊙↵-(⇁⨣⪵((⨰⫟⨤$2403$)⇼⇔∾($4125$⫡⨏$5193$)))","expression":"⊙↵-(⇁⨣⪵((⨰⫟⨤⫏≰10022000)⇼⇔∾(⫏≰12122210⫡⨏⫏≰21010100)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8809,"operation_count":5,"complexity_ratio":1761.8,"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":2403,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4125,"base":3},"right_expr":{"type":"numeric_atoms","value":5193,"base":3}}}}},"used_operators":["oWn0xqSxBt","inkyxCbjAn","tifHPKVTfV","Tw270M8GLb","QMFrweE19q"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2403","layer":4},{"info":"compute unary expreesion, input=2403, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4125","layer":4},{"info":"number node, value=5193","layer":4},{"info":"compute binary expreesion, left_input=4125, right_input=5193, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31794","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=31794, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', 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":3,"result_base":3,"text":"⊙↵-(⇁⨣⪵((⨰⫟⨤⫏≰10022000)⇼⇔∾(⫏≰12122210⫡⨏⫏≰21010100)))=NaN","reverse_text":"NaN=⊙↵-(⇁⨣⪵((⨰⫟⨤⫏≰10022000)⇼⇔∾(⫏≰12122210⫡⨏⫏≰21010100)))","cot":[{"info":"⨰⫟⨤⫏≰10022000=NaN","layer":3},{"info":"⫏≰12122210⫡⨏⫏≰21010100=⫏≰1121121120","layer":3},{"info":"NaN⇼⇔∾⫏≰1121121120=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":787,"expression_no_base_symbol":"((↣≠⋷($4580$↬$1053$))⫥∨⫟($2033$+$2212$/$4687$∲⫓$6516$))⪘⫢(($5135$≭$2599$)⨓($3073$⨸⪁$3790$)∲⫓$4170$+⇶⊼$2468$≭($6994$⨳⩥⨓$3733$))","expression":"((↣≠⋷(⫏≰20021122↬⫏≰1110000))⫥∨⫟(⫏≰2210022+⫏≰10000221/⫏≰20102121∲⫓⫏≰22221100))⪘⫢((⫏≰21001012≭⫏≰10120021)⨓(⫏≰11012211⨸⪁⫏≰12012101)∲⫓⫏≰12201110+⇶⊼⫏≰10101102≭(⫏≰100121001⨳⩥⨓⫏≰12010021))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13914,"operation_count":14,"complexity_ratio":993.8571428571429,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4580,"base":3},"right_expr":{"type":"numeric_atoms","value":1053,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2033,"base":3},"right_expr":{"type":"numeric_atoms","value":2212,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4687,"base":3},"right_expr":{"type":"numeric_atoms","value":6516,"base":3}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5135,"base":3},"right_expr":{"type":"numeric_atoms","value":2599,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3073,"base":3},"right_expr":{"type":"numeric_atoms","value":3790,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4170,"base":3},"right_expr":{"type":"numeric_atoms","value":2468,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6994,"base":3},"right_expr":{"type":"numeric_atoms","value":3733,"base":3}}}}},"used_operators":["oacrs7FA3X","KYD54nUTWz","Asc51vEJeQ","B5M0gjZbta","XhwjNDsVaA","W4YGzv6Whe","i8ToyICDmI","3ViojmjbAp","rxpJgHHUmx","g55IO6H4Gj","TpPTUOHfaN","nCS4ZIUYfx"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4580","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=4580, right_input=1053, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":"number node, value=2033","layer":4},{"info":"number node, value=2212","layer":4},{"info":"compute binary expreesion, left_input=2033, right_input=2212, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4245","layer":3},{"info":"number node, value=4687","layer":4},{"info":"number node, value=6516","layer":4},{"info":"compute binary expreesion, left_input=4687, right_input=6516, 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=4245, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=5135","layer":4},{"info":"number node, value=2599","layer":4},{"info":"compute binary expreesion, left_input=5135, right_input=2599, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3073","layer":4},{"info":"number node, value=3790","layer":4},{"info":"compute binary expreesion, left_input=3073, right_input=3790, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13726","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13726, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-13729","layer":2},{"info":"number node, value=4170","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=4170, right_input=2468, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=6994","layer":4},{"info":"number node, value=3733","layer":4},{"info":"compute binary expreesion, left_input=6994, right_input=3733, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3261","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3261, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-13729, 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 = 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":3,"result_base":3,"text":"((↣≠⋷(⫏≰20021122↬⫏≰1110000))⫥∨⫟(⫏≰2210022+⫏≰10000221/⫏≰20102121∲⫓⫏≰22221100))⪘⫢((⫏≰21001012≭⫏≰10120021)⨓(⫏≰11012211⨸⪁⫏≰12012101)∲⫓⫏≰12201110+⇶⊼⫏≰10101102≭(⫏≰100121001⨳⩥⨓⫏≰12010021))=NaN","reverse_text":"NaN=((↣≠⋷(⫏≰20021122↬⫏≰1110000))⫥∨⫟(⫏≰2210022+⫏≰10000221/⫏≰20102121∲⫓⫏≰22221100))⪘⫢((⫏≰21001012≭⫏≰10120021)⨓(⫏≰11012211⨸⪁⫏≰12012101)∲⫓⫏≰12201110+⇶⊼⫏≰10101102≭(⫏≰100121001⨳⩥⨓⫏≰12010021))","cot":[{"info":"⫏≰20021122↬⫏≰1110000=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⫏≰2210022+⫏≰10000221=⫏≰12211020","layer":3},{"info":"⫏≰20102121∲⫓⫏≰22221100=⫏≰0","layer":3},{"info":"⫏≰12211020/⫏≰0=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⫏≰21001012≭⫏≰10120021=NaN","layer":3},{"info":"⫏≰11012211⨸⪁⫏≰12012101=⫏≰200211101","layer":3},{"info":"NaN⨓⫏≰200211101=⫏≰-200211111","layer":2},{"info":"⫏≰12201110+⇶⊼⫏≰10101102=NaN","layer":3},{"info":"⫏≰100121001⨳⩥⨓⫏≰12010021=⫏≰-11110210","layer":3},{"info":"NaN≭⫏≰-11110210=NaN","layer":2},{"info":"⫏≰-200211111∲⫓NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":788,"expression_no_base_symbol":"(↥($3885$-$1909$⋷$1232$%$1072$))≹⇙⪍(((≤/$1294$)⨎$1105$≹⇙⪍$5547$)⪮%⊝(⨑⩽⪐($6111$↙$2793$)))","expression":"(↥(⫏≰12022220-⫏≰2121201⋷⫏≰1200122%⫏≰1110201))≹⇙⪍(((≤/⫏≰1202221)⨎⫏≰1111221≹⇙⪍⫏≰21121110)⪮%⊝(⨑⩽⪐(⫏≰22101100↙⫏≰10211110)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2853,"operation_count":11,"complexity_ratio":259.3636363636364,"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":3885,"base":3},"right_expr":{"type":"numeric_atoms","value":1909,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1232,"base":3},"right_expr":{"type":"numeric_atoms","value":1072,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1294,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1105,"base":3},"right_expr":{"type":"numeric_atoms","value":5547,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6111,"base":3},"right_expr":{"type":"numeric_atoms","value":2793,"base":3}}}}},"used_operators":["AHs5Up7iyr","A8NUZmVepG","23Mk6UjR3U","rysDP5nf3Z","k8jYdgA6NY","IWmyXbctLI","rJVOvQCfKK","eLAdDNolq6","AF7qkfDlqP","yyfyN0ffXY"],"dependent_operators":["dWAJyo7jo9","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3885","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=3885, right_input=1909, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1976","layer":3},{"info":"number node, value=1232","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=1072, op_id = k8jYdgA6NY binary_op_definition= 'None', output=160","layer":3},{"info":"compute binary expreesion, left_input=1976, right_input=160, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1656","layer":2},{"info":"compute unary expreesion, input=-1656, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=27","layer":1},{"info":"number node, value=1294","layer":4},{"info":"compute unary expreesion, input=1294, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-810","layer":3},{"info":"number node, value=1105","layer":4},{"info":"number node, value=5547","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=5547, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-810, 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=6111","layer":4},{"info":"number node, value=2793","layer":4},{"info":"compute binary expreesion, left_input=6111, right_input=2793, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8379","layer":3},{"info":"compute unary expreesion, input=-8379, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=17547","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17547, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=27, 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":3,"result_base":3,"text":"(↥(⫏≰12022220-⫏≰2121201⋷⫏≰1200122%⫏≰1110201))≹⇙⪍(((≤/⫏≰1202221)⨎⫏≰1111221≹⇙⪍⫏≰21121110)⪮%⊝(⨑⩽⪐(⫏≰22101100↙⫏≰10211110)))=NaN","reverse_text":"NaN=(↥(⫏≰12022220-⫏≰2121201⋷⫏≰1200122%⫏≰1110201))≹⇙⪍(((≤/⫏≰1202221)⨎⫏≰1111221≹⇙⪍⫏≰21121110)⪮%⊝(⨑⩽⪐(⫏≰22101100↙⫏≰10211110)))","cot":[{"info":"⫏≰12022220-⫏≰2121201=⫏≰2201012","layer":3},{"info":"⫏≰1200122%⫏≰1110201=⫏≰12221","layer":3},{"info":"⫏≰2201012⋷⫏≰12221=⫏≰-2021100","layer":2},{"info":"↥⫏≰-2021100=⫏≰1000","layer":1},{"info":"≤/⫏≰1202221=⫏≰-1010000","layer":3},{"info":"⫏≰1111221≹⇙⪍⫏≰21121110=NaN","layer":3},{"info":"⫏≰-1010000⨎NaN=NaN","layer":2},{"info":"⫏≰22101100↙⫏≰10211110=⫏≰-102111100","layer":3},{"info":"⨑⩽⪐⫏≰-102111100=⫏≰220001220","layer":2},{"info":"NaN⪮%⊝⫏≰220001220=NaN","layer":1},{"info":"⫏≰1000≹⇙⪍NaN=NaN","layer":0}]}
{"id":789,"expression_no_base_symbol":"↯⪼((($2200$⋥≓≎$5953$)⫩⊇)≎⊠⪸(≦∁$1750$⊴$2976$))","expression":"↯⪼(((⫏≰10000111⋥≓≎⫏≰22011111)⫩⊇)≎⊠⪸(≦∁⫏≰2101211⊴⫏≰11002020))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3031,"operation_count":6,"complexity_ratio":505.1666666666667,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2200,"base":3},"right_expr":{"type":"numeric_atoms","value":5953,"base":3}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1750,"base":3},"right_expr":{"type":"numeric_atoms","value":2976,"base":3}}}}},"used_operators":["8jW3W4yZS5","bJkvcejdHO","BjRHVeLaeN","Qy55tPpLXF","9ICcGScMcE","Nsiff2A1zJ"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","14qkJME0vr"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2200","layer":4},{"info":"number node, value=5953","layer":4},{"info":"compute binary expreesion, left_input=2200, right_input=5953, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9739","layer":3},{"info":"compute unary expreesion, input=9739, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-9697","layer":2},{"info":"number node, value=1750","layer":4},{"info":"number node, value=2976","layer":4},{"info":"compute binary expreesion, left_input=1750, right_input=2976, 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=-9697, 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 unary expreesion, input=67, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":3,"result_base":3,"text":"↯⪼(((⫏≰10000111⋥≓≎⫏≰22011111)⫩⊇)≎⊠⪸(≦∁⫏≰2101211⊴⫏≰11002020))=⫏≰-210","reverse_text":"⫏≰-210=↯⪼(((⫏≰10000111⋥≓≎⫏≰22011111)⫩⊇)≎⊠⪸(≦∁⫏≰2101211⊴⫏≰11002020))","cot":[{"info":"⫏≰10000111⋥≓≎⫏≰22011111=⫏≰111100201","layer":3},{"info":"⫏≰111100201⫩⊇=⫏≰-111022011","layer":2},{"info":"⫏≰2101211⊴⫏≰11002020=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⫏≰-111022011≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"↯⪼⫏≰2111=⫏≰-210","layer":0}]}
{"id":790,"expression_no_base_symbol":"(↽≂($5360$⊭↱$1225$))⋓($1257$⨳⩥⨓$1258$⪒($1792$⫡⨏$4954$))⨳⩥⨓(≤/$7838$↺$2508$)⋝⋈⪟(⪝⪂⫅($3640$⩨$4787$))","expression":"(↽≂(⫏≰21100112⊭↱⫏≰1200101))⋓(⫏≰1201120⨳⩥⨓⫏≰1201121⪒(⫏≰2110101⫡⨏⫏≰20210111))⨳⩥⨓(≤/⫏≰101202022↺⫏≰10102220)⋝⋈⪟(⪝⪂⫅(⫏≰11222211⩨⫏≰20120022))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":54,"operation_count":12,"complexity_ratio":4.5,"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":5360,"base":3},"right_expr":{"type":"numeric_atoms","value":1225,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1257,"base":3},"right_expr":{"type":"numeric_atoms","value":1258,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1792,"base":3},"right_expr":{"type":"numeric_atoms","value":4954,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7838,"base":3},"right_expr":{"type":"numeric_atoms","value":2508,"base":3}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3640,"base":3},"right_expr":{"type":"numeric_atoms","value":4787,"base":3}}}}},"used_operators":["nCS4ZIUYfx","T2fj7uvVaJ","u6S6b8DprG","COABgblf1C","f6k1SAg4EE","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","7j4O788W3g","XTarYq4gQB","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫏≰-2202222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5360","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=5360, right_input=1225, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8265","layer":3},{"info":"compute unary expreesion, input=-8265, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=16530","layer":2},{"info":"number node, value=1257","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=1258, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1","layer":3},{"info":"number node, value=1792","layer":4},{"info":"number node, value=4954","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=4954, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19651","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=19651, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-19652","layer":2},{"info":"compute binary expreesion, left_input=16530, right_input=-19652, op_id = T2fj7uvVaJ 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=7838","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=7838, right_input=2508, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2508","layer":3},{"info":"compute unary expreesion, input=2508, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2024","layer":2},{"info":"number node, value=3640","layer":4},{"info":"number node, value=4787","layer":4},{"info":"compute binary expreesion, left_input=3640, right_input=4787, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=441","layer":2},{"info":"compute binary expreesion, left_input=-2024, right_input=441, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-2024","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2024, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2024","layer":0}],"base":3,"result_base":3,"text":"(↽≂(⫏≰21100112⊭↱⫏≰1200101))⋓(⫏≰1201120⨳⩥⨓⫏≰1201121⪒(⫏≰2110101⫡⨏⫏≰20210111))⨳⩥⨓(≤/⫏≰101202022↺⫏≰10102220)⋝⋈⪟(⪝⪂⫅(⫏≰11222211⩨⫏≰20120022))=⫏≰-2202222","reverse_text":"⫏≰-2202222=(↽≂(⫏≰21100112⊭↱⫏≰1200101))⋓(⫏≰1201120⨳⩥⨓⫏≰1201121⪒(⫏≰2110101⫡⨏⫏≰20210111))⨳⩥⨓(≤/⫏≰101202022↺⫏≰10102220)⋝⋈⪟(⪝⪂⫅(⫏≰11222211⩨⫏≰20120022))","cot":[{"info":"⫏≰21100112⊭↱⫏≰1200101=⫏≰-102100010","layer":3},{"info":"↽≂⫏≰-102100010=⫏≰211200020","layer":2},{"info":"⫏≰1201120⨳⩥⨓⫏≰1201121=⫏≰1","layer":3},{"info":"⫏≰2110101⫡⨏⫏≰20210111=⫏≰222221211","layer":3},{"info":"⫏≰1⪒⫏≰222221211=⫏≰-222221212","layer":2},{"info":"⫏≰211200020⋓⫏≰-222221212=⫏≰0","layer":1},{"info":"⫏≰101202022↺⫏≰10102220=⫏≰10102220","layer":3},{"info":"≤/⫏≰10102220=⫏≰-2202222","layer":2},{"info":"⫏≰11222211⩨⫏≰20120022=⫏≰-10","layer":3},{"info":"⪝⪂⫅⫏≰-10=⫏≰121100","layer":2},{"info":"⫏≰-2202222⋝⋈⪟⫏≰121100=⫏≰-2202222","layer":1},{"info":"⫏≰0⨳⩥⨓⫏≰-2202222=⫏≰-2202222","layer":0}]}
{"id":791,"expression_no_base_symbol":"((⊙↵-(⨵≀≌$2617$))⨵⪆($2365$⩚⊴⇥$5776$)⋓($2161$*$8076$))⨓($2140$⨟⋌⩍$6609$⋝⋈⪟($1365$⋳⪒$8500$)⋫)","expression":"((⊙↵-(⨵≀≌⫏≰10120221))⨵⪆(⫏≰10020121⩚⊴⇥⫏≰21220221)⋓(⫏≰2222001*⫏≰102002010))⨓(⫏≰2221021⨟⋌⩍⫏≰100001210⋝⋈⪟(⫏≰1212120⋳⪒⫏≰102122211)⋫)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10083,"operation_count":11,"complexity_ratio":916.6363636363636,"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":2617,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2365,"base":3},"right_expr":{"type":"numeric_atoms","value":5776,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2161,"base":3},"right_expr":{"type":"numeric_atoms","value":8076,"base":3}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2140,"base":3},"right_expr":{"type":"numeric_atoms","value":6609,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1365,"base":3},"right_expr":{"type":"numeric_atoms","value":8500,"base":3}}}}},"used_operators":["3ViojmjbAp","2DQ55sFlQl","oWn0xqSxBt","srAu1WTS94","T2fj7uvVaJ","NTOWxs364D","9HNa5Wba9A","JL8yIekQnl","2DDjHMKMc0","rGHVDoGpnC","12rbrZMWeM"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2617","layer":4},{"info":"compute unary expreesion, input=2617, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7851","layer":3},{"info":"compute unary expreesion, input=-7851, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=2365","layer":4},{"info":"number node, value=5776","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=5776, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8262","layer":3},{"info":"number node, value=2161","layer":4},{"info":"number node, value=8076","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=8076, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17452236","layer":3},{"info":"compute binary expreesion, left_input=-8262, right_input=17452236, op_id = T2fj7uvVaJ 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=196, 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=2140","layer":4},{"info":"number node, value=6609","layer":4},{"info":"compute binary expreesion, left_input=2140, right_input=6609, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1365","layer":4},{"info":"number node, value=8500","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=8500, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6057","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6057, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊙↵-(⨵≀≌⫏≰10120221))⨵⪆(⫏≰10020121⩚⊴⇥⫏≰21220221)⋓(⫏≰2222001*⫏≰102002010))⨓(⫏≰2221021⨟⋌⩍⫏≰100001210⋝⋈⪟(⫏≰1212120⋳⪒⫏≰102122211)⋫)=NaN","reverse_text":"NaN=((⊙↵-(⨵≀≌⫏≰10120221))⨵⪆(⫏≰10020121⩚⊴⇥⫏≰21220221)⋓(⫏≰2222001*⫏≰102002010))⨓(⫏≰2221021⨟⋌⩍⫏≰100001210⋝⋈⪟(⫏≰1212120⋳⪒⫏≰102122211)⋫)","cot":[{"info":"⨵≀≌⫏≰10120221=⫏≰-101202210","layer":3},{"info":"⊙↵-⫏≰-101202210=⫏≰21021","layer":2},{"info":"⫏≰10020121⩚⊴⇥⫏≰21220221=⫏≰-102100000","layer":3},{"info":"⫏≰2222001*⫏≰102002010=⫏≰1012211122222010","layer":3},{"info":"⫏≰-102100000⋓⫏≰1012211122222010=⫏≰0","layer":2},{"info":"⫏≰21021⨵⪆⫏≰0=⫏≰12221","layer":1},{"info":"⫏≰2221021⨟⋌⩍⫏≰100001210=NaN","layer":3},{"info":"⫏≰1212120⋳⪒⫏≰102122211=⫏≰-22022100","layer":3},{"info":"NaN⋝⋈⪟⫏≰-22022100=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"⫏≰12221⨓NaN=NaN","layer":0}]}
{"id":792,"expression_no_base_symbol":"(⇁⨣⪵$7109$⪘⫢$4170$)⩷∴($1051$⪒$1063$)⇷(⊙↵-$4323$)⩷∴(⨞⊢(⨞⊢($1672$⪒$1324$)))","expression":"(⇁⨣⪵⫏≰100202022⪘⫢⫏≰12201110)⩷∴(⫏≰1102221⪒⫏≰1110101)⇷(⊙↵-⫏≰12221010)⩷∴(⨞⊢(⨞⊢(⫏≰2021221⪒⫏≰1211001)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":34009,"operation_count":10,"complexity_ratio":3400.9,"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":7109,"base":3},"right_expr":{"type":"numeric_atoms","value":4170,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1051,"base":3},"right_expr":{"type":"numeric_atoms","value":1063,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4323,"base":3}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1672,"base":3},"right_expr":{"type":"numeric_atoms","value":1324,"base":3}}}}},"used_operators":["9FxExcQeMw","inkyxCbjAn","oacrs7FA3X","mp7IySMOzn","f6k1SAg4EE","oWn0xqSxBt","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7109","layer":4},{"info":"number node, value=4170","layer":4},{"info":"compute binary expreesion, left_input=7109, right_input=4170, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14094","layer":3},{"info":"compute unary expreesion, input=14094, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1051","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1063, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2114","layer":3},{"info":"number node, value=4323","layer":4},{"info":"compute unary expreesion, input=4323, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-2114, right_input=-1, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-2","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1672","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=1672, right_input=1324, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2996","layer":3},{"info":"compute unary expreesion, input=-2996, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2996","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2996, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇁⨣⪵⫏≰100202022⪘⫢⫏≰12201110)⩷∴(⫏≰1102221⪒⫏≰1110101)⇷(⊙↵-⫏≰12221010)⩷∴(⨞⊢(⨞⊢(⫏≰2021221⪒⫏≰1211001)))=NaN","reverse_text":"NaN=(⇁⨣⪵⫏≰100202022⪘⫢⫏≰12201110)⩷∴(⫏≰1102221⪒⫏≰1110101)⇷(⊙↵-⫏≰12221010)⩷∴(⨞⊢(⨞⊢(⫏≰2021221⪒⫏≰1211001)))","cot":[{"info":"⫏≰100202022⪘⫢⫏≰12201110=⫏≰201100000","layer":3},{"info":"⇁⨣⪵⫏≰201100000=NaN","layer":2},{"info":"⫏≰1102221⪒⫏≰1110101=⫏≰-2220022","layer":3},{"info":"⊙↵-⫏≰12221010=⫏≰-1","layer":3},{"info":"⫏≰-2220022⇷⫏≰-1=⫏≰-2","layer":2},{"info":"NaN⩷∴⫏≰-2=NaN","layer":1},{"info":"⫏≰2021221⪒⫏≰1211001=⫏≰-11002222","layer":3},{"info":"⨞⊢⫏≰-11002222=⫏≰10212112","layer":2},{"info":"⨞⊢⫏≰10212112=⫏≰-11002222","layer":1},{"info":"NaN⩷∴⫏≰-11002222=NaN","layer":0}]}
{"id":793,"expression_no_base_symbol":"((↔($2516$⨰$1428$))⇋≉)⋝⋈⪟((⫓⪴$3085$)⨽(⨵≀≌$1118$)∲⫓(⊥$7681$)⩨($1909$⩠))","expression":"((↔(⫏≰10110012⨰⫏≰1221220))⇋≉)⋝⋈⪟((⫓⪴⫏≰11020021)⨽(⨵≀≌⫏≰1112102)∲⫓(⊥⫏≰101112111)⩨(⫏≰2121201⩠))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9520366,"operation_count":11,"complexity_ratio":865487.8181818182,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2516,"base":3},"right_expr":{"type":"numeric_atoms","value":1428,"base":3}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3085,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1118,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7681,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1909,"base":3}}}}},"used_operators":["2DDjHMKMc0","XIabStNQrY","ruOEQAzv1W","eewbuw0ToL","i8ToyICDmI","8HhzD0ZcuI","eLxqMNBOBk","srAu1WTS94","2DlMacCsIx","Q3PJZHRvZv","sJAwomhLZr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","fu6greOZ01","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2516","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=1428, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1098","layer":3},{"info":"compute unary expreesion, input=1098, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-825","layer":2},{"info":"compute unary expreesion, input=-825, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-1748","layer":1},{"info":"number node, value=3085","layer":4},{"info":"compute unary expreesion, input=3085, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9517225","layer":3},{"info":"number node, value=1118","layer":4},{"info":"compute unary expreesion, input=1118, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3354","layer":3},{"info":"compute binary expreesion, left_input=9517225, right_input=-3354, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=7681","layer":4},{"info":"compute unary expreesion, input=7681, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1909","layer":4},{"info":"compute unary expreesion, input=1909, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-inf, 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=-1748, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↔(⫏≰10110012⨰⫏≰1221220))⇋≉)⋝⋈⪟((⫓⪴⫏≰11020021)⨽(⨵≀≌⫏≰1112102)∲⫓(⊥⫏≰101112111)⩨(⫏≰2121201⩠))=NaN","reverse_text":"NaN=((↔(⫏≰10110012⨰⫏≰1221220))⇋≉)⋝⋈⪟((⫓⪴⫏≰11020021)⨽(⨵≀≌⫏≰1112102)∲⫓(⊥⫏≰101112111)⩨(⫏≰2121201⩠))","cot":[{"info":"⫏≰10110012⨰⫏≰1221220=⫏≰1111200","layer":3},{"info":"↔⫏≰1111200=⫏≰-1010120","layer":2},{"info":"⫏≰-1010120⇋≉=⫏≰-2101202","layer":1},{"info":"⫓⪴⫏≰11020021=⫏≰122220112011211","layer":3},{"info":"⨵≀≌⫏≰1112102=⫏≰-11121020","layer":3},{"info":"⫏≰122220112011211⨽⫏≰-11121020=-Inf","layer":2},{"info":"⊥⫏≰101112111=NaN","layer":3},{"info":"⫏≰2121201⩠=⫏≰0","layer":3},{"info":"NaN⩨⫏≰0=NaN","layer":2},{"info":"-Inf∲⫓NaN=NaN","layer":1},{"info":"⫏≰-2101202⋝⋈⪟NaN=NaN","layer":0}]}
{"id":794,"expression_no_base_symbol":"(∥⊫$5555$)⨰(⨵≀≌$1268$)≧⫂∧((⨰⫟⨤$1010$)⩨$1310$∑⇟⊟$1684$)↺($3018$⨪↰⇹$2666$⨐⩸⫘$6631$⪘⫢$4968$)≎⊠⪸(↯⪼($1790$⨵⪆$1003$))","expression":"(∥⊫⫏≰21121202)⨰(⨵≀≌⫏≰1201222)≧⫂∧((⨰⫟⨤⫏≰1101102)⩨⫏≰1210112∑⇟⊟⫏≰2022101)↺(⫏≰11010210⨪↰⇹⫏≰10122202⨐⩸⫘⫏≰100002121⪘⫢⫏≰20211000)≎⊠⪸(↯⪼(⫏≰2110022⨵⪆⫏≰1101011))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6299,"operation_count":14,"complexity_ratio":449.92857142857144,"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":5555,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1268,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1010,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1310,"base":3},"right_expr":{"type":"numeric_atoms","value":1684,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3018,"base":3},"right_expr":{"type":"numeric_atoms","value":2666,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6631,"base":3},"right_expr":{"type":"numeric_atoms","value":4968,"base":3}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1790,"base":3},"right_expr":{"type":"numeric_atoms","value":1003,"base":3}}}}},"used_operators":["7j4O788W3g","Ph9nP6C5qx","eewbuw0ToL","P8v4zCKN1o","srAu1WTS94","2DlMacCsIx","Tw270M8GLb","U7g4x0WXJJ","bJkvcejdHO","fu6greOZ01","tmPS8pqC7x","oacrs7FA3X","8jW3W4yZS5","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5555","layer":4},{"info":"compute unary expreesion, input=5555, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6423","layer":3},{"info":"number node, value=1268","layer":4},{"info":"compute unary expreesion, input=1268, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3804","layer":3},{"info":"compute binary expreesion, left_input=6423, right_input=-3804, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=10237","layer":2},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1310","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=1684, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10237, 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=3018","layer":4},{"info":"number node, value=2666","layer":4},{"info":"compute binary expreesion, left_input=3018, right_input=2666, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3018","layer":3},{"info":"number node, value=6631","layer":4},{"info":"number node, value=4968","layer":4},{"info":"compute binary expreesion, left_input=6631, right_input=4968, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13138","layer":3},{"info":"compute binary expreesion, left_input=3018, right_input=13138, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1790","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=1003, 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 = 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 = 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(∥⊫⫏≰21121202)⨰(⨵≀≌⫏≰1201222)≧⫂∧((⨰⫟⨤⫏≰1101102)⩨⫏≰1210112∑⇟⊟⫏≰2022101)↺(⫏≰11010210⨪↰⇹⫏≰10122202⨐⩸⫘⫏≰100002121⪘⫢⫏≰20211000)≎⊠⪸(↯⪼(⫏≰2110022⨵⪆⫏≰1101011))=NaN","reverse_text":"NaN=(∥⊫⫏≰21121202)⨰(⨵≀≌⫏≰1201222)≧⫂∧((⨰⫟⨤⫏≰1101102)⩨⫏≰1210112∑⇟⊟⫏≰2022101)↺(⫏≰11010210⨪↰⇹⫏≰10122202⨐⩸⫘⫏≰100002121⪘⫢⫏≰20211000)≎⊠⪸(↯⪼(⫏≰2110022⨵⪆⫏≰1101011))","cot":[{"info":"∥⊫⫏≰21121202=⫏≰22210220","layer":3},{"info":"⨵≀≌⫏≰1201222=⫏≰-12012220","layer":3},{"info":"⫏≰22210220⨰⫏≰-12012220=⫏≰112001011","layer":2},{"info":"⨰⫟⨤⫏≰1101102=NaN","layer":3},{"info":"⫏≰1210112∑⇟⊟⫏≰2022101=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"⫏≰112001011≧⫂∧NaN=NaN","layer":1},{"info":"⫏≰11010210⨪↰⇹⫏≰10122202=⫏≰11010210","layer":3},{"info":"⫏≰100002121⪘⫢⫏≰20211000=⫏≰200000121","layer":3},{"info":"⫏≰11010210⨐⩸⫘⫏≰200000121=NaN","layer":2},{"info":"⫏≰2110022⨵⪆⫏≰1101011=⫏≰12221","layer":3},{"info":"↯⪼⫏≰12221=⫏≰-210","layer":2},{"info":"NaN≎⊠⪸⫏≰-210=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":795,"expression_no_base_symbol":"∥⊫(⨵≀≌(⨰⫟⨤$4109$)⪮%⊝(-$1188$))","expression":"∥⊫(⨵≀≌(⨰⫟⨤⫏≰12122012)⪮%⊝(-⫏≰1122000))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":15612,"operation_count":5,"complexity_ratio":3122.4,"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":4109,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1188,"base":3}}}}},"used_operators":["P8v4zCKN1o","srAu1WTS94","IWmyXbctLI","Tw270M8GLb","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4109","layer":4},{"info":"compute unary expreesion, input=4109, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1188","layer":4},{"info":"compute unary expreesion, input=1188, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1188","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1188, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"compute 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":3,"result_base":3,"text":"∥⊫(⨵≀≌(⨰⫟⨤⫏≰12122012)⪮%⊝(-⫏≰1122000))=NaN","reverse_text":"NaN=∥⊫(⨵≀≌(⨰⫟⨤⫏≰12122012)⪮%⊝(-⫏≰1122000))","cot":[{"info":"⨰⫟⨤⫏≰12122012=NaN","layer":3},{"info":"-⫏≰1122000=⫏≰-1122000","layer":3},{"info":"NaN⪮%⊝⫏≰-1122000=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":796,"expression_no_base_symbol":"(($1244$⨽$2120$+(⋗⩬⋾$1722$))*$2782$⊴$1078$∀⇚≩($1742$⊪))⨪↰⇹(($5256$⪨≂$4503$⫡⨏$2155$⨰$6991$)-$1128$⨪↰⇹$1048$⊉≛↸$6648$↬$4164$)","expression":"((⫏≰1201002⨽⫏≰2220112+(⋗⩬⋾⫏≰2100210))*⫏≰10211001⊴⫏≰1110221∀⇚≩(⫏≰2101112⊪))⨪↰⇹((⫏≰21012200⪨≂⫏≰20011210⫡⨏⫏≰2221211⨰⫏≰100120221)-⫏≰1112210⨪↰⇹⫏≰1102211⊉≛↸⫏≰100010020↬⫏≰12201020)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4930,"operation_count":15,"complexity_ratio":328.6666666666667,"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":1244,"base":3},"right_expr":{"type":"numeric_atoms","value":2120,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1722,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2782,"base":3},"right_expr":{"type":"numeric_atoms","value":1078,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1742,"base":3}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5256,"base":3},"right_expr":{"type":"numeric_atoms","value":4503,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2155,"base":3},"right_expr":{"type":"numeric_atoms","value":6991,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1128,"base":3},"right_expr":{"type":"numeric_atoms","value":1048,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6648,"base":3},"right_expr":{"type":"numeric_atoms","value":4164,"base":3}}}}},"used_operators":["tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","8HhzD0ZcuI","DpFCA1CohY","LRNGc0VcxI","Nsiff2A1zJ","zVYPLywUTj","rysDP5nf3Z","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","DZ8iAZOCBD","B5M0gjZbta"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1244","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=2120, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4647654","layer":3},{"info":"number node, value=1722","layer":4},{"info":"compute unary expreesion, input=1722, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5166","layer":3},{"info":"compute binary expreesion, left_input=-4647654, right_input=-5166, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4652820","layer":2},{"info":"number node, value=2782","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=2782, right_input=1078, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1742","layer":4},{"info":"compute unary expreesion, input=1742, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-4652820, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5256","layer":4},{"info":"number node, value=4503","layer":4},{"info":"compute binary expreesion, left_input=5256, right_input=4503, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1608","layer":3},{"info":"number node, value=2155","layer":4},{"info":"number node, value=6991","layer":4},{"info":"compute binary expreesion, left_input=2155, right_input=6991, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4826","layer":3},{"info":"compute binary expreesion, left_input=1608, right_input=-4826, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-829","layer":2},{"info":"number node, value=1128","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=1048, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1128","layer":3},{"info":"number node, value=6648","layer":4},{"info":"number node, value=4164","layer":4},{"info":"compute binary expreesion, left_input=6648, right_input=4164, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1128, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2256","layer":2},{"info":"compute binary expreesion, left_input=-829, right_input=2256, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3085","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3085, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":3,"result_base":3,"text":"((⫏≰1201002⨽⫏≰2220112+(⋗⩬⋾⫏≰2100210))*⫏≰10211001⊴⫏≰1110221∀⇚≩(⫏≰2101112⊪))⨪↰⇹((⫏≰21012200⪨≂⫏≰20011210⫡⨏⫏≰2221211⨰⫏≰100120221)-⫏≰1112210⨪↰⇹⫏≰1102211⊉≛↸⫏≰100010020↬⫏≰12201020)=NaN","reverse_text":"NaN=((⫏≰1201002⨽⫏≰2220112+(⋗⩬⋾⫏≰2100210))*⫏≰10211001⊴⫏≰1110221∀⇚≩(⫏≰2101112⊪))⨪↰⇹((⫏≰21012200⪨≂⫏≰20011210⫡⨏⫏≰2221211⨰⫏≰100120221)-⫏≰1112210⨪↰⇹⫏≰1102211⊉≛↸⫏≰100010020↬⫏≰12201020)","cot":[{"info":"⫏≰1201002⨽⫏≰2220112=⫏≰-22202010101100","layer":3},{"info":"⋗⩬⋾⫏≰2100210=⫏≰-21002100","layer":3},{"info":"⫏≰-22202010101100+⫏≰-21002100=⫏≰-22202101110200","layer":2},{"info":"⫏≰10211001⊴⫏≰1110221=NaN","layer":3},{"info":"⫏≰2101112⊪=⫏≰0","layer":3},{"info":"NaN∀⇚≩⫏≰0=NaN","layer":2},{"info":"⫏≰-22202101110200*NaN=NaN","layer":1},{"info":"⫏≰21012200⪨≂⫏≰20011210=⫏≰2012120","layer":3},{"info":"⫏≰2221211⨰⫏≰100120221=⫏≰-20121202","layer":3},{"info":"⫏≰2012120⫡⨏⫏≰-20121202=⫏≰-1010201","layer":2},{"info":"⫏≰1112210⨪↰⇹⫏≰1102211=⫏≰1112210","layer":3},{"info":"⫏≰100010020↬⫏≰12201020=NaN","layer":3},{"info":"⫏≰1112210⊉≛↸NaN=⫏≰10002120","layer":2},{"info":"⫏≰-1010201-⫏≰10002120=⫏≰-11020021","layer":1},{"info":"NaN⨪↰⇹⫏≰-11020021=NaN","layer":0}]}
{"id":797,"expression_no_base_symbol":"(⨈⫕(⊙↵-($2394$⪠⩆⊳)))⋷(($3162$≭$1154$)⪛$3386$⪢$4477$/$2021$⋥≓≎$6559$⪄$7210$≧⫂∧$8113$)","expression":"(⨈⫕(⊙↵-(⫏≰10021200⪠⩆⊳)))⋷((⫏≰11100010≭⫏≰1120202)⪛⫏≰11122102⪢⫏≰20010211/⫏≰2202212⋥≓≎⫏≰22222221⪄⫏≰100220001≧⫂∧⫏≰102010111)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5004,"operation_count":11,"complexity_ratio":454.90909090909093,"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":2394,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3162,"base":3},"right_expr":{"type":"numeric_atoms","value":1154,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3386,"base":3},"right_expr":{"type":"numeric_atoms","value":4477,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2021,"base":3},"right_expr":{"type":"numeric_atoms","value":6559,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7210,"base":3},"right_expr":{"type":"numeric_atoms","value":8113,"base":3}}}}},"used_operators":["23Mk6UjR3U","megm06wKyl","oWn0xqSxBt","JLbD19bQDL","XhwjNDsVaA","uFcxV4UQCh","rxpJgHHUmx","dWAJyo7jo9","SUmda5xLS4","Qy55tPpLXF","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰1120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2394","layer":4},{"info":"compute unary expreesion, input=2394, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢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":"number node, value=3162","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=3162, right_input=1154, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3386","layer":4},{"info":"number node, value=4477","layer":4},{"info":"compute binary expreesion, left_input=3386, right_input=4477, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=2021","layer":4},{"info":"number node, value=6559","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=6559, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11130","layer":3},{"info":"number node, value=7210","layer":4},{"info":"number node, value=8113","layer":4},{"info":"compute binary expreesion, left_input=7210, right_input=8113, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7640","layer":3},{"info":"compute binary expreesion, left_input=11130, right_input=7640, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1673889","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1673889, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":3,"result_base":3,"text":"(⨈⫕(⊙↵-(⫏≰10021200⪠⩆⊳)))⋷((⫏≰11100010≭⫏≰1120202)⪛⫏≰11122102⪢⫏≰20010211/⫏≰2202212⋥≓≎⫏≰22222221⪄⫏≰100220001≧⫂∧⫏≰102010111)=⫏≰1120","reverse_text":"⫏≰1120=(⨈⫕(⊙↵-(⫏≰10021200⪠⩆⊳)))⋷((⫏≰11100010≭⫏≰1120202)⪛⫏≰11122102⪢⫏≰20010211/⫏≰2202212⋥≓≎⫏≰22222221⪄⫏≰100220001≧⫂∧⫏≰102010111)","cot":[{"info":"⫏≰10021200⪠⩆⊳=⫏≰0","layer":3},{"info":"⊙↵-⫏≰0=⫏≰0","layer":2},{"info":"⨈⫕⫏≰0=⫏≰-210","layer":1},{"info":"⫏≰11100010≭⫏≰1120202=NaN","layer":3},{"info":"⫏≰11122102⪢⫏≰20010211=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"⫏≰2202212⋥≓≎⫏≰22222221=⫏≰120021020","layer":3},{"info":"⫏≰100220001≧⫂∧⫏≰102010111=⫏≰101110222","layer":3},{"info":"⫏≰120021020⪄⫏≰101110222=⫏≰-10011001010220","layer":2},{"info":"NaN/⫏≰-10011001010220=NaN","layer":1},{"info":"⫏≰-210⋷NaN=⫏≰1120","layer":0}]}
{"id":798,"expression_no_base_symbol":"$3919$⪮%⊝$1080$⨎($2037$⨎$1167$)⫸⊐(($2059$≣⋋)↪⪝)/($1109$⋷$1427$)⩷∴($7088$*$3494$)≭($2598$⩚⊴⇥$1252$)∼($6277$≧⫂∧$2074$)","expression":"⫏≰12101011⪮%⊝⫏≰1111000⨎(⫏≰2210110⨎⫏≰1121020)⫸⊐((⫏≰2211021≣⋋)↪⪝)/(⫏≰1112002⋷⫏≰1221212)⩷∴(⫏≰100201112*⫏≰11210102)≭(⫏≰10120020⩚⊴⇥⫏≰1201101)∼(⫏≰22121111≧⫂∧⫏≰2211211)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4142,"operation_count":14,"complexity_ratio":295.85714285714283,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3919,"base":3},"right_expr":{"type":"numeric_atoms","value":1080,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2037,"base":3},"right_expr":{"type":"numeric_atoms","value":1167,"base":3}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2059,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1109,"base":3},"right_expr":{"type":"numeric_atoms","value":1427,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7088,"base":3},"right_expr":{"type":"numeric_atoms","value":3494,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2598,"base":3},"right_expr":{"type":"numeric_atoms","value":1252,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6277,"base":3},"right_expr":{"type":"numeric_atoms","value":2074,"base":3}}}}},"used_operators":["XhwjNDsVaA","mqXw5SEYmG","rJVOvQCfKK","IWmyXbctLI","l07mrZUIn9","Tcnh7f0tEr","rxpJgHHUmx","9FxExcQeMw","23Mk6UjR3U","9HNa5Wba9A","DyGG3AbaNP","NTOWxs364D","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3919","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=3919, right_input=1080, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8154","layer":3},{"info":"number node, value=2037","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=1167, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1167","layer":3},{"info":"compute binary expreesion, left_input=8154, right_input=1167, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1167","layer":2},{"info":"number node, value=2059","layer":4},{"info":"compute unary expreesion, input=2059, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1167, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-125","layer":1},{"info":"number node, value=1109","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1427, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1745","layer":3},{"info":"number node, value=7088","layer":4},{"info":"number node, value=3494","layer":4},{"info":"compute binary expreesion, left_input=7088, right_input=3494, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=24765472","layer":3},{"info":"compute binary expreesion, left_input=1745, right_input=24765472, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-49527486","layer":2},{"info":"number node, value=2598","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=2598, right_input=1252, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3971","layer":3},{"info":"number node, value=6277","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=6277, right_input=2074, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1601","layer":3},{"info":"compute binary expreesion, left_input=-3971, right_input=1601, 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=-49527486, 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=-125, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫏≰12101011⪮%⊝⫏≰1111000⨎(⫏≰2210110⨎⫏≰1121020)⫸⊐((⫏≰2211021≣⋋)↪⪝)/(⫏≰1112002⋷⫏≰1221212)⩷∴(⫏≰100201112*⫏≰11210102)≭(⫏≰10120020⩚⊴⇥⫏≰1201101)∼(⫏≰22121111≧⫂∧⫏≰2211211)=NaN","reverse_text":"NaN=⫏≰12101011⪮%⊝⫏≰1111000⨎(⫏≰2210110⨎⫏≰1121020)⫸⊐((⫏≰2211021≣⋋)↪⪝)/(⫏≰1112002⋷⫏≰1221212)⩷∴(⫏≰100201112*⫏≰11210102)≭(⫏≰10120020⩚⊴⇥⫏≰1201101)∼(⫏≰22121111≧⫂∧⫏≰2211211)","cot":[{"info":"⫏≰12101011⪮%⊝⫏≰1111000=⫏≰102012000","layer":3},{"info":"⫏≰2210110⨎⫏≰1121020=⫏≰1121020","layer":3},{"info":"⫏≰102012000⨎⫏≰1121020=⫏≰1121020","layer":2},{"info":"⫏≰2211021≣⋋=⫏≰0","layer":3},{"info":"⫏≰0↪⪝=⫏≰0","layer":2},{"info":"⫏≰1121020⫸⊐⫏≰0=⫏≰-11122","layer":1},{"info":"⫏≰1112002⋷⫏≰1221212=⫏≰2101122","layer":3},{"info":"⫏≰100201112*⫏≰11210102=⫏≰1201121012211201","layer":3},{"info":"⫏≰2101122⩷∴⫏≰1201121012211201=⫏≰-10110012020221100","layer":2},{"info":"⫏≰10120020⩚⊴⇥⫏≰1201101=⫏≰-12110002","layer":3},{"info":"⫏≰22121111≧⫂∧⫏≰2211211=⫏≰2012022","layer":3},{"info":"⫏≰-12110002∼⫏≰2012022=NaN","layer":2},{"info":"⫏≰-10110012020221100≭NaN=NaN","layer":1},{"info":"⫏≰-11122/NaN=NaN","layer":0}]}
{"id":799,"expression_no_base_symbol":"((≦∁$3173$⋝⋈⪟$7618$)⪨≂(⨵≀≌($2679$⫡⨏$3227$)))⨓((⫛⫱⨽($1725$↙$1241$))⨵⪆$1348$⊴$4822$⨸⪁$1191$↬$1832$)","expression":"((≦∁⫏≰11100112⋝⋈⪟⫏≰101110011)⪨≂(⨵≀≌(⫏≰10200020⫡⨏⫏≰11102112)))⨓((⫛⫱⨽(⫏≰2100220↙⫏≰1200222))⨵⪆⫏≰1211221⊴⫏≰20121121⨸⪁⫏≰1122010↬⫏≰2111212)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7684,"operation_count":12,"complexity_ratio":640.3333333333334,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3173,"base":3},"right_expr":{"type":"numeric_atoms","value":7618,"base":3}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2679,"base":3},"right_expr":{"type":"numeric_atoms","value":3227,"base":3}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1725,"base":3},"right_expr":{"type":"numeric_atoms","value":1241,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1348,"base":3},"right_expr":{"type":"numeric_atoms","value":4822,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1191,"base":3},"right_expr":{"type":"numeric_atoms","value":1832,"base":3}}}}},"used_operators":["3ViojmjbAp","sdazOOVcIp","9ICcGScMcE","2DDjHMKMc0","srAu1WTS94","QMFrweE19q","2DQ55sFlQl","DlLNRPXxWL","yyfyN0ffXY","g55IO6H4Gj","Nsiff2A1zJ","B5M0gjZbta"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC"],"result":"⫏≰-20001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3173","layer":4},{"info":"number node, value=7618","layer":4},{"info":"compute binary expreesion, left_input=3173, right_input=7618, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3173","layer":3},{"info":"compute unary expreesion, input=3173, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3173","layer":2},{"info":"number node, value=2679","layer":4},{"info":"number node, value=3227","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=3227, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20632","layer":3},{"info":"compute unary expreesion, input=20632, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-61896","layer":2},{"info":"compute binary expreesion, left_input=3173, right_input=-61896, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=130240","layer":1},{"info":"number node, value=1725","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=1725, right_input=1241, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3723","layer":3},{"info":"compute unary expreesion, input=-3723, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1348","layer":4},{"info":"number node, value=4822","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=4822, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1191","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=1832, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=130240, right_input=160, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-163","layer":0}],"base":3,"result_base":3,"text":"((≦∁⫏≰11100112⋝⋈⪟⫏≰101110011)⪨≂(⨵≀≌(⫏≰10200020⫡⨏⫏≰11102112)))⨓((⫛⫱⨽(⫏≰2100220↙⫏≰1200222))⨵⪆⫏≰1211221⊴⫏≰20121121⨸⪁⫏≰1122010↬⫏≰2111212)=⫏≰-20001","reverse_text":"⫏≰-20001=((≦∁⫏≰11100112⋝⋈⪟⫏≰101110011)⪨≂(⨵≀≌(⫏≰10200020⫡⨏⫏≰11102112)))⨓((⫛⫱⨽(⫏≰2100220↙⫏≰1200222))⨵⪆⫏≰1211221⊴⫏≰20121121⨸⪁⫏≰1122010↬⫏≰2111212)","cot":[{"info":"⫏≰11100112⋝⋈⪟⫏≰101110011=⫏≰11100112","layer":3},{"info":"≦∁⫏≰11100112=⫏≰11100112","layer":2},{"info":"⫏≰10200020⫡⨏⫏≰11102112=⫏≰1001022011","layer":3},{"info":"⨵≀≌⫏≰1001022011=⫏≰-10010220110","layer":2},{"info":"⫏≰11100112⪨≂⫏≰-10010220110=⫏≰20121122201","layer":1},{"info":"⫏≰2100220↙⫏≰1200222=⫏≰-12002220","layer":3},{"info":"⫛⫱⨽⫏≰-12002220=⫏≰0","layer":2},{"info":"⫏≰1211221⊴⫏≰20121121=NaN","layer":3},{"info":"⫏≰1122010↬⫏≰2111212=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"⫏≰0⨵⪆NaN=⫏≰12221","layer":1},{"info":"⫏≰20121122201⨓⫏≰12221=⫏≰-20001","layer":0}]}
{"id":800,"expression_no_base_symbol":"(($9245$⨽$1506$⨸⪁($6246$+$1828$))⨰($2426$↺$1534$⊭↱(↩$1500$)))⊴(($3524$⨟⋌⩍$5344$⫡⨏(⊙↵-$3885$))⨽($1416$⪄$7232$)⨽$2156$⇷$3366$)","expression":"((⫏≰110200102⨽⫏≰2001210⨸⪁(⫏≰22120100+⫏≰2111201))⨰(⫏≰10022212↺⫏≰2002211⊭↱(↩⫏≰2001120)))⊴((⫏≰11211112⨟⋌⩍⫏≰21022221⫡⨏(⊙↵-⫏≰12022220))⨽(⫏≰1221110⪄⫏≰100220212)⨽⫏≰2221212⇷⫏≰11121200)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":278123,"operation_count":15,"complexity_ratio":18541.533333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":9245,"base":3},"right_expr":{"type":"numeric_atoms","value":1506,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6246,"base":3},"right_expr":{"type":"numeric_atoms","value":1828,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2426,"base":3},"right_expr":{"type":"numeric_atoms","value":1534,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1500,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3524,"base":3},"right_expr":{"type":"numeric_atoms","value":5344,"base":3}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3885,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1416,"base":3},"right_expr":{"type":"numeric_atoms","value":7232,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2156,"base":3},"right_expr":{"type":"numeric_atoms","value":3366,"base":3}}}}},"used_operators":["Nsiff2A1zJ","eewbuw0ToL","g55IO6H4Gj","8HhzD0ZcuI","W4YGzv6Whe","COABgblf1C","7j4O788W3g","jLgFTUHLKL","QMFrweE19q","rGHVDoGpnC","oWn0xqSxBt","SUmda5xLS4","mp7IySMOzn"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9245","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=9245, right_input=1506, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-256413279","layer":3},{"info":"number node, value=6246","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=6246, right_input=1828, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8074","layer":3},{"info":"compute binary expreesion, left_input=-256413279, right_input=8074, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-512810410","layer":2},{"info":"number node, value=2426","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=1534, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1534","layer":3},{"info":"number node, value=1500","layer":4},{"info":"compute unary expreesion, input=1500, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9220","layer":3},{"info":"compute binary expreesion, left_input=1534, right_input=-9220, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-21503","layer":2},{"info":"compute binary expreesion, left_input=-512810410, right_input=-21503, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-512788897","layer":1},{"info":"number node, value=3524","layer":4},{"info":"number node, value=5344","layer":4},{"info":"compute binary expreesion, left_input=3524, right_input=5344, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=3885","layer":4},{"info":"compute unary expreesion, input=3885, 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 = 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=1416","layer":4},{"info":"number node, value=7232","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=7232, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-234585","layer":3},{"info":"number node, value=2156","layer":4},{"info":"number node, value=3366","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=3366, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6732","layer":3},{"info":"compute binary expreesion, left_input=-234585, right_input=6732, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-512788897, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰110200102⨽⫏≰2001210⨸⪁(⫏≰22120100+⫏≰2111201))⨰(⫏≰10022212↺⫏≰2002211⊭↱(↩⫏≰2001120)))⊴((⫏≰11211112⨟⋌⩍⫏≰21022221⫡⨏(⊙↵-⫏≰12022220))⨽(⫏≰1221110⪄⫏≰100220212)⨽⫏≰2221212⇷⫏≰11121200)=NaN","reverse_text":"NaN=((⫏≰110200102⨽⫏≰2001210⨸⪁(⫏≰22120100+⫏≰2111201))⨰(⫏≰10022212↺⫏≰2002211⊭↱(↩⫏≰2001120)))⊴((⫏≰11211112⨟⋌⩍⫏≰21022221⫡⨏(⊙↵-⫏≰12022220))⨽(⫏≰1221110⪄⫏≰100220212)⨽⫏≰2221212⇷⫏≰11121200)","cot":[{"info":"⫏≰110200102⨽⫏≰2001210=⫏≰-122212111010220010","layer":3},{"info":"⫏≰22120100+⫏≰2111201=⫏≰102002001","layer":3},{"info":"⫏≰-122212111010220010⨸⪁⫏≰102002001=⫏≰-1022201221110122011","layer":2},{"info":"⫏≰10022212↺⫏≰2002211=⫏≰2002211","layer":3},{"info":"↩⫏≰2001120=⫏≰-110122111","layer":3},{"info":"⫏≰2002211⊭↱⫏≰-110122111=⫏≰-1002111102","layer":2},{"info":"⫏≰-1022201221110122011⨰⫏≰-1002111102=⫏≰-1022201220101010101","layer":1},{"info":"⫏≰11211112⨟⋌⩍⫏≰21022221=NaN","layer":3},{"info":"⊙↵-⫏≰12022220=⫏≰-1","layer":3},{"info":"NaN⫡⨏⫏≰-1=NaN","layer":2},{"info":"⫏≰1221110⪄⫏≰100220212=⫏≰-102220210100","layer":3},{"info":"⫏≰2221212⇷⫏≰11121200=⫏≰100020100","layer":3},{"info":"⫏≰-102220210100⨽⫏≰100020100=-Inf","layer":2},{"info":"NaN⨽-Inf=NaN","layer":1},{"info":"⫏≰-1022201220101010101⊴NaN=NaN","layer":0}]}
{"id":801,"expression_no_base_symbol":"($3631$≣⋋)⩷∴$4915$⨟⋌⩍$3021$⋓(≉($2696$≣⋋))↙(($1105$⊉≛↸$1631$)⊦⊿)∑⇟⊟((≦∁$3024$)⫡⨏($1268$/$1238$))","expression":"(⫏≰11222111≣⋋)⩷∴⫏≰20202001⨟⋌⩍⫏≰11010220⋓(≉(⫏≰10200212≣⋋))↙((⫏≰1111221⊉≛↸⫏≰2020102)⊦⊿)∑⇟⊟((≦∁⫏≰11011000)⫡⨏(⫏≰1201222/⫏≰1200212))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1069,"operation_count":13,"complexity_ratio":82.23076923076923,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3631,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4915,"base":3},"right_expr":{"type":"numeric_atoms","value":3021,"base":3}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2696,"base":3}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1105,"base":3},"right_expr":{"type":"numeric_atoms","value":1631,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3024,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1268,"base":3},"right_expr":{"type":"numeric_atoms","value":1238,"base":3}}}}},"used_operators":["yyfyN0ffXY","T2fj7uvVaJ","9FxExcQeMw","Tcnh7f0tEr","rGHVDoGpnC","e1ybzncUwg","U7g4x0WXJJ","14qkJME0vr","DZ8iAZOCBD","QMFrweE19q","9ICcGScMcE","XhwjNDsVaA"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3631","layer":4},{"info":"compute unary expreesion, input=3631, 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=4915","layer":4},{"info":"number node, value=3021","layer":4},{"info":"compute binary expreesion, left_input=4915, right_input=3021, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=2696","layer":4},{"info":"compute unary expreesion, input=2696, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=531, op_id = T2fj7uvVaJ 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=1105","layer":4},{"info":"number node, value=1631","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=1631, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2210","layer":3},{"info":"compute unary expreesion, input=2210, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6709","layer":2},{"info":"number node, value=3024","layer":4},{"info":"compute unary expreesion, input=3024, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3024","layer":3},{"info":"number node, value=1268","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=1238, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=3024, 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=15905","layer":2},{"info":"compute binary expreesion, left_input=-6709, right_input=15905, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11222111≣⋋)⩷∴⫏≰20202001⨟⋌⩍⫏≰11010220⋓(≉(⫏≰10200212≣⋋))↙((⫏≰1111221⊉≛↸⫏≰2020102)⊦⊿)∑⇟⊟((≦∁⫏≰11011000)⫡⨏(⫏≰1201222/⫏≰1200212))=⫏≰0","reverse_text":"⫏≰0=(⫏≰11222111≣⋋)⩷∴⫏≰20202001⨟⋌⩍⫏≰11010220⋓(≉(⫏≰10200212≣⋋))↙((⫏≰1111221⊉≛↸⫏≰2020102)⊦⊿)∑⇟⊟((≦∁⫏≰11011000)⫡⨏(⫏≰1201222/⫏≰1200212))","cot":[{"info":"⫏≰11222111≣⋋=⫏≰0","layer":3},{"info":"⫏≰20202001⨟⋌⩍⫏≰11010220=NaN","layer":3},{"info":"⫏≰0⩷∴NaN=NaN","layer":2},{"info":"⫏≰10200212≣⋋=⫏≰0","layer":3},{"info":"≉⫏≰0=⫏≰201200","layer":2},{"info":"NaN⋓⫏≰201200=⫏≰0","layer":1},{"info":"⫏≰1111221⊉≛↸⫏≰2020102=⫏≰10000212","layer":3},{"info":"⫏≰10000212⊦⊿=⫏≰-100012111","layer":2},{"info":"≦∁⫏≰11011000=⫏≰11011000","layer":3},{"info":"⫏≰1201222/⫏≰1200212=⫏≰1","layer":3},{"info":"⫏≰11011000⫡⨏⫏≰1=⫏≰210211002","layer":2},{"info":"⫏≰-100012111∑⇟⊟⫏≰210211002=NaN","layer":1},{"info":"⫏≰0↙NaN=⫏≰0","layer":0}]}
{"id":802,"expression_no_base_symbol":"(⊄⩳↩($3572$⋳⪒$6462$))≭($1250$⨟⋌⩍$1068$⋥≓≎($1051$⫸⊐$4362$))⨁⊸⫻","expression":"(⊄⩳↩(⫏≰11220022⋳⪒⫏≰22212100))≭(⫏≰1201022⨟⋌⩍⫏≰1110120⋥≓≎(⫏≰1102221⫸⊐⫏≰12222120))⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1322,"operation_count":7,"complexity_ratio":188.85714285714286,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3572,"base":3},"right_expr":{"type":"numeric_atoms","value":6462,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1250,"base":3},"right_expr":{"type":"numeric_atoms","value":1068,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1051,"base":3},"right_expr":{"type":"numeric_atoms","value":4362,"base":3}}}}},"used_operators":["glklzrTFfD","rxpJgHHUmx","8w2t5hMYqp","12rbrZMWeM","Qy55tPpLXF","rGHVDoGpnC","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3572","layer":4},{"info":"number node, value=6462","layer":4},{"info":"compute binary expreesion, left_input=3572, right_input=6462, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=395","layer":3},{"info":"compute unary expreesion, input=395, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-1185","layer":2},{"info":"number node, value=1250","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=1068, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=4362","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=4362, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17323","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17323, 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=-1185, right_input=67, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"(⊄⩳↩(⫏≰11220022⋳⪒⫏≰22212100))≭(⫏≰1201022⨟⋌⩍⫏≰1110120⋥≓≎(⫏≰1102221⫸⊐⫏≰12222120))⨁⊸⫻=NaN","reverse_text":"NaN=(⊄⩳↩(⫏≰11220022⋳⪒⫏≰22212100))≭(⫏≰1201022⨟⋌⩍⫏≰1110120⋥≓≎(⫏≰1102221⫸⊐⫏≰12222120))⨁⊸⫻","cot":[{"info":"⫏≰11220022⋳⪒⫏≰22212100=⫏≰112122","layer":3},{"info":"⊄⩳↩⫏≰112122=⫏≰-1121220","layer":2},{"info":"⫏≰1201022⨟⋌⩍⫏≰1110120=NaN","layer":3},{"info":"⫏≰1102221⫸⊐⫏≰12222120=⫏≰212202121","layer":3},{"info":"NaN⋥≓≎⫏≰212202121=⫏≰2111","layer":2},{"info":"⫏≰-1121220≭⫏≰2111=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":803,"expression_no_base_symbol":"(⨑⩽⪐(($3617$⨳⩥⨓$1358$)⫩⊇))⋝⋈⪟($3271$⪒$3025$/$5896$⩷∴$1684$)⨪↰⇹(($1235$⨸⪁$1056$)+⇶⊼$1694$⪘⫢$1075$)","expression":"(⨑⩽⪐((⫏≰11221222⨳⩥⨓⫏≰1212022)⫩⊇))⋝⋈⪟(⫏≰11111011⪒⫏≰11011001/⫏≰22002101⩷∴⫏≰2022101)⨪↰⇹((⫏≰1200202⨸⪁⫏≰1110010)+⇶⊼⫏≰2022202⪘⫢⫏≰1110211)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":42,"operation_count":11,"complexity_ratio":3.8181818181818183,"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":3617,"base":3},"right_expr":{"type":"numeric_atoms","value":1358,"base":3}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3271,"base":3},"right_expr":{"type":"numeric_atoms","value":3025,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5896,"base":3},"right_expr":{"type":"numeric_atoms","value":1684,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1235,"base":3},"right_expr":{"type":"numeric_atoms","value":1056,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1694,"base":3},"right_expr":{"type":"numeric_atoms","value":1075,"base":3}}}}},"used_operators":["2DDjHMKMc0","AF7qkfDlqP","BjRHVeLaeN","nCS4ZIUYfx","tmPS8pqC7x","XhwjNDsVaA","f6k1SAg4EE","9FxExcQeMw","TpPTUOHfaN","g55IO6H4Gj","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫏≰-2210010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3617","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=3617, right_input=1358, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2259","layer":3},{"info":"compute unary expreesion, input=-2259, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2301","layer":2},{"info":"compute unary expreesion, input=2301, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2028","layer":1},{"info":"number node, value=3271","layer":4},{"info":"number node, value=3025","layer":4},{"info":"compute binary expreesion, left_input=3271, right_input=3025, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6296","layer":3},{"info":"number node, value=5896","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=5896, right_input=1684, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8392","layer":3},{"info":"compute binary expreesion, left_input=-6296, right_input=8392, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1235","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=1056, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4582","layer":3},{"info":"number node, value=1694","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1694, right_input=1075, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3264","layer":3},{"info":"compute binary expreesion, left_input=4582, right_input=3264, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1","layer":1},{"info":"compute binary expreesion, left_input=-2028, right_input=1, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-2028","layer":0}],"base":3,"result_base":3,"text":"(⨑⩽⪐((⫏≰11221222⨳⩥⨓⫏≰1212022)⫩⊇))⋝⋈⪟(⫏≰11111011⪒⫏≰11011001/⫏≰22002101⩷∴⫏≰2022101)⨪↰⇹((⫏≰1200202⨸⪁⫏≰1110010)+⇶⊼⫏≰2022202⪘⫢⫏≰1110211)=⫏≰-2210010","reverse_text":"⫏≰-2210010=(⨑⩽⪐((⫏≰11221222⨳⩥⨓⫏≰1212022)⫩⊇))⋝⋈⪟(⫏≰11111011⪒⫏≰11011001/⫏≰22002101⩷∴⫏≰2022101)⨪↰⇹((⫏≰1200202⨸⪁⫏≰1110010)+⇶⊼⫏≰2022202⪘⫢⫏≰1110211)","cot":[{"info":"⫏≰11221222⨳⩥⨓⫏≰1212022=⫏≰-10002200","layer":3},{"info":"⫏≰-10002200⫩⊇=⫏≰10011020","layer":2},{"info":"⨑⩽⪐⫏≰10011020=⫏≰-2210010","layer":1},{"info":"⫏≰11111011⪒⫏≰11011001=⫏≰-22122012","layer":3},{"info":"⫏≰22002101⩷∴⫏≰2022101=⫏≰102111211","layer":3},{"info":"⫏≰-22122012/⫏≰102111211=⫏≰-1","layer":2},{"info":"⫏≰1200202⨸⪁⫏≰1110010=⫏≰20021201","layer":3},{"info":"⫏≰2022202⪘⫢⫏≰1110211=⫏≰11110220","layer":3},{"info":"⫏≰20021201+⇶⊼⫏≰11110220=NaN","layer":2},{"info":"⫏≰-1⨪↰⇹NaN=⫏≰1","layer":1},{"info":"⫏≰-2210010⋝⋈⪟⫏≰1=⫏≰-2210010","layer":0}]}
{"id":804,"expression_no_base_symbol":"($4733$⨸⪁$1274$⪨≂(≉$5307$))↺(-$3739$)⨟⋌⩍(⨵≀≌$1608$)⇼⇔∾(⪲⇎($3173$⋥≓≎$2899$⨳⩥⨓($1591$⪨≂$1248$)))","expression":"(⫏≰20111022⨸⪁⫏≰1202012⪨≂(≉⫏≰21021120))↺(-⫏≰12010111)⨟⋌⩍(⨵≀≌⫏≰2012120)⇼⇔∾(⪲⇎(⫏≰11100112⋥≓≎⫏≰10222101⨳⩥⨓(⫏≰2011221⪨≂⫏≰1201020)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33,"operation_count":12,"complexity_ratio":2.75,"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":4733,"base":3},"right_expr":{"type":"numeric_atoms","value":1274,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5307,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3739,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1608,"base":3}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3173,"base":3},"right_expr":{"type":"numeric_atoms","value":2899,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1591,"base":3},"right_expr":{"type":"numeric_atoms","value":1248,"base":3}}}}},"used_operators":["tifHPKVTfV","7j4O788W3g","sdazOOVcIp","g55IO6H4Gj","e1ybzncUwg","rGHVDoGpnC","t8gj7n24qd","srAu1WTS94","XPYlsWDdGa","nCS4ZIUYfx","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4733","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=4733, right_input=1274, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12014","layer":3},{"info":"number node, value=5307","layer":4},{"info":"compute unary expreesion, input=5307, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5838","layer":3},{"info":"compute binary expreesion, left_input=12014, right_input=5838, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=12454","layer":2},{"info":"number node, value=3739","layer":4},{"info":"compute unary expreesion, input=3739, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3739","layer":3},{"info":"number node, value=1608","layer":4},{"info":"compute unary expreesion, input=1608, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4824","layer":3},{"info":"compute binary expreesion, left_input=-3739, right_input=-4824, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=12454, 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=3173","layer":4},{"info":"number node, value=2899","layer":4},{"info":"compute binary expreesion, left_input=3173, right_input=2899, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2658","layer":3},{"info":"number node, value=1591","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=1248, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=788","layer":3},{"info":"compute binary expreesion, left_input=2658, right_input=788, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1870","layer":2},{"info":"compute unary expreesion, input=-1870, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-3740","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3740, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20111022⨸⪁⫏≰1202012⪨≂(≉⫏≰21021120))↺(-⫏≰12010111)⨟⋌⩍(⨵≀≌⫏≰2012120)⇼⇔∾(⪲⇎(⫏≰11100112⋥≓≎⫏≰10222101⨳⩥⨓(⫏≰2011221⪨≂⫏≰1201020)))=NaN","reverse_text":"NaN=(⫏≰20111022⨸⪁⫏≰1202012⪨≂(≉⫏≰21021120))↺(-⫏≰12010111)⨟⋌⩍(⨵≀≌⫏≰2012120)⇼⇔∾(⪲⇎(⫏≰11100112⋥≓≎⫏≰10222101⨳⩥⨓(⫏≰2011221⪨≂⫏≰1201020)))","cot":[{"info":"⫏≰20111022⨸⪁⫏≰1202012=⫏≰121110222","layer":3},{"info":"≉⫏≰21021120=⫏≰22000020","layer":3},{"info":"⫏≰121110222⪨≂⫏≰22000020=⫏≰122002021","layer":2},{"info":"-⫏≰12010111=⫏≰-12010111","layer":3},{"info":"⨵≀≌⫏≰2012120=⫏≰-20121200","layer":3},{"info":"⫏≰-12010111⨟⋌⩍⫏≰-20121200=NaN","layer":2},{"info":"⫏≰122002021↺NaN=NaN","layer":1},{"info":"⫏≰11100112⋥≓≎⫏≰10222101=⫏≰10122110","layer":3},{"info":"⫏≰2011221⪨≂⫏≰1201020=⫏≰1002012","layer":3},{"info":"⫏≰10122110⨳⩥⨓⫏≰1002012=⫏≰-2120021","layer":2},{"info":"⪲⇎⫏≰-2120021=⫏≰-12010112","layer":1},{"info":"NaN⇼⇔∾⫏≰-12010112=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"(⊥(($1873$⪒$2897$)⊘))∀⇚≩($2496$≎⊠⪸$4059$⋥≓≎($1330$-$3230$)⊉≛↸(∂$5292$∼$2441$))","expression":"(⊥((⫏≰2120101⪒⫏≰10222022)⊘))∀⇚≩(⫏≰10102110≎⊠⪸⫏≰12120100⋥≓≎(⫏≰1211021-⫏≰11102122)⊉≛↸(∂⫏≰21021000∼⫏≰10100102))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":444,"operation_count":10,"complexity_ratio":44.4,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1873,"base":3},"right_expr":{"type":"numeric_atoms","value":2897,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2496,"base":3},"right_expr":{"type":"numeric_atoms","value":4059,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1330,"base":3},"right_expr":{"type":"numeric_atoms","value":3230,"base":3}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5292,"base":3},"right_expr":{"type":"numeric_atoms","value":2441,"base":3}}}}},"used_operators":["LRNGc0VcxI","Q3PJZHRvZv","gu96TGCTMs","f6k1SAg4EE","DZ8iAZOCBD","Qy55tPpLXF","bJkvcejdHO","rysDP5nf3Z","Uaa54Peajs","DyGG3AbaNP"],"dependent_operators":["X99M06cbEe","fu6greOZ01","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1873","layer":4},{"info":"number node, value=2897","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=2897, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4770","layer":3},{"info":"compute unary expreesion, input=-4770, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=4","layer":1},{"info":"number node, value=2496","layer":4},{"info":"number node, value=4059","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=4059, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=645991","layer":3},{"info":"number node, value=1330","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=3230, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1900","layer":3},{"info":"compute binary expreesion, left_input=645991, right_input=-1900, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-649758","layer":2},{"info":"number node, value=5292","layer":4},{"info":"number node, value=2441","layer":4},{"info":"compute binary expreesion, left_input=5292, right_input=2441, 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=-649758, 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=4, 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":3,"result_base":3,"text":"(⊥((⫏≰2120101⪒⫏≰10222022)⊘))∀⇚≩(⫏≰10102110≎⊠⪸⫏≰12120100⋥≓≎(⫏≰1211021-⫏≰11102122)⊉≛↸(∂⫏≰21021000∼⫏≰10100102))=NaN","reverse_text":"NaN=(⊥((⫏≰2120101⪒⫏≰10222022)⊘))∀⇚≩(⫏≰10102110≎⊠⪸⫏≰12120100⋥≓≎(⫏≰1211021-⫏≰11102122)⊉≛↸(∂⫏≰21021000∼⫏≰10100102))","cot":[{"info":"⫏≰2120101⪒⫏≰10222022=⫏≰-20112200","layer":3},{"info":"⫏≰-20112200⊘=⫏≰-1","layer":2},{"info":"⊥⫏≰-1=⫏≰11","layer":1},{"info":"⫏≰10102110≎⊠⪸⫏≰12120100=⫏≰1012211010121","layer":3},{"info":"⫏≰1211021-⫏≰11102122=⫏≰-2121101","layer":3},{"info":"⫏≰1012211010121⋥≓≎⫏≰-2121101=⫏≰-1020000022010","layer":2},{"info":"⫏≰21021000∼⫏≰10100102=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⫏≰-1020000022010⊉≛↸NaN=NaN","layer":1},{"info":"⫏≰11∀⇚≩NaN=NaN","layer":0}]}
{"id":806,"expression_no_base_symbol":"⨑⩽⪐(⫓⪴(($2961$⊠≄⫣)↺($1808$≫≃)))","expression":"⨑⩽⪐(⫓⪴((⫏≰11001200⊠≄⫣)↺(⫏≰2110222≫≃)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5033,"operation_count":5,"complexity_ratio":1006.6,"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":2961,"base":3}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1808,"base":3}}}}},"used_operators":["AF7qkfDlqP","eLxqMNBOBk","7j4O788W3g","DIvbN7qnHd","X99M06cbEe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⫏≰-1202100202202211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2961","layer":4},{"info":"compute unary expreesion, input=2961, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1808","layer":4},{"info":"compute unary expreesion, input=1808, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5017","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5017, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5017","layer":2},{"info":"compute unary expreesion, input=5017, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=25170289","layer":1},{"info":"compute unary expreesion, input=25170289, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-25170016","layer":0}],"base":3,"result_base":3,"text":"⨑⩽⪐(⫓⪴((⫏≰11001200⊠≄⫣)↺(⫏≰2110222≫≃)))=⫏≰-1202100202202211","reverse_text":"⫏≰-1202100202202211=⨑⩽⪐(⫓⪴((⫏≰11001200⊠≄⫣)↺(⫏≰2110222≫≃)))","cot":[{"info":"⫏≰11001200⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰2110222≫≃=⫏≰20212211","layer":3},{"info":"⫏≰0↺⫏≰20212211=⫏≰20212211","layer":2},{"info":"⫓⪴⫏≰20212211=⫏≰1202100210010221","layer":1},{"info":"⨑⩽⪐⫏≰1202100210010221=⫏≰-1202100202202211","layer":0}]}
{"id":807,"expression_no_base_symbol":"↥((+⊝⨔$6737$)≎⊠⪸(≤/$6193$)⇼⇔∾(↣≠⋷(↽≂$4284$)))","expression":"↥((+⊝⨔⫏≰100020112)≎⊠⪸(≤/⫏≰22111101)⇼⇔∾(↣≠⋷(↽≂⫏≰12212200)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":61,"operation_count":7,"complexity_ratio":8.714285714285714,"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":6737,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6193,"base":3}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4284,"base":3}}}}},"used_operators":["A8NUZmVepG","tifHPKVTfV","bJkvcejdHO","DhbWaqg5eL","eLAdDNolq6","Asc51vEJeQ","u6S6b8DprG"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6737","layer":4},{"info":"compute unary expreesion, input=6737, 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=6193","layer":4},{"info":"compute unary expreesion, input=6193, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5709","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-5709, 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=4284","layer":4},{"info":"compute unary expreesion, input=4284, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8568","layer":3},{"info":"compute unary expreesion, input=-8568, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↥((+⊝⨔⫏≰100020112)≎⊠⪸(≤/⫏≰22111101)⇼⇔∾(↣≠⋷(↽≂⫏≰12212200)))=NaN","reverse_text":"NaN=↥((+⊝⨔⫏≰100020112)≎⊠⪸(≤/⫏≰22111101)⇼⇔∾(↣≠⋷(↽≂⫏≰12212200)))","cot":[{"info":"+⊝⨔⫏≰100020112=⫏≰2002101","layer":3},{"info":"≤/⫏≰22111101=⫏≰-21211110","layer":3},{"info":"⫏≰2002101≎⊠⪸⫏≰-21211110=⫏≰2111","layer":2},{"info":"↽≂⫏≰12212200=⫏≰-102202100","layer":3},{"info":"↣≠⋷⫏≰-102202100=NaN","layer":2},{"info":"⫏≰2111⇼⇔∾NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":808,"expression_no_base_symbol":"($2289$⪢$4550$⊦⊿)⩷∴(($1194$⨸⪁$4031$)⨰(↣≠⋷$1401$))⨳⩥⨓(($4483$⨵⪆$2717$)⩷∴($1027$⨰$1509$)↺(↔(≤/$5793$)))","expression":"(⫏≰10010210⪢⫏≰20020112⊦⊿)⩷∴((⫏≰1122020⨸⪁⫏≰12112022)⨰(↣≠⋷⫏≰1220220))⨳⩥⨓((⫏≰20011001⨵⪆⫏≰10201122)⩷∴(⫏≰1102001⨰⫏≰2001220)↺(↔(≤/⫏≰21221120)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4615,"operation_count":13,"complexity_ratio":355.0,"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":2289,"base":3},"right_expr":{"type":"numeric_atoms","value":4550,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1194,"base":3},"right_expr":{"type":"numeric_atoms","value":4031,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1401,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4483,"base":3},"right_expr":{"type":"numeric_atoms","value":2717,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1027,"base":3},"right_expr":{"type":"numeric_atoms","value":1509,"base":3}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5793,"base":3}}}}},"used_operators":["nCS4ZIUYfx","9FxExcQeMw","14qkJME0vr","dWAJyo7jo9","eewbuw0ToL","g55IO6H4Gj","Asc51vEJeQ","7j4O788W3g","2DQ55sFlQl","ruOEQAzv1W","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2289","layer":4},{"info":"number node, value=4550","layer":4},{"info":"compute binary expreesion, left_input=2289, right_input=4550, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1194","layer":4},{"info":"number node, value=4031","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=4031, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10450","layer":3},{"info":"number node, value=1401","layer":4},{"info":"compute unary expreesion, input=1401, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10450, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=4483","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=4483, right_input=2717, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1509, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-472","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-472, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1232","layer":2},{"info":"number node, value=5793","layer":4},{"info":"compute unary expreesion, input=5793, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5309","layer":3},{"info":"compute unary expreesion, input=-5309, 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=1232, right_input=-134, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10010210⪢⫏≰20020112⊦⊿)⩷∴((⫏≰1122020⨸⪁⫏≰12112022)⨰(↣≠⋷⫏≰1220220))⨳⩥⨓((⫏≰20011001⨵⪆⫏≰10201122)⩷∴(⫏≰1102001⨰⫏≰2001220)↺(↔(≤/⫏≰21221120)))=NaN","reverse_text":"NaN=(⫏≰10010210⪢⫏≰20020112⊦⊿)⩷∴((⫏≰1122020⨸⪁⫏≰12112022)⨰(↣≠⋷⫏≰1220220))⨳⩥⨓((⫏≰20011001⨵⪆⫏≰10201122)⩷∴(⫏≰1102001⨰⫏≰2001220)↺(↔(≤/⫏≰21221120)))","cot":[{"info":"⫏≰10010210⪢⫏≰20020112=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⫏≰1122020⨸⪁⫏≰12112022=⫏≰112100001","layer":3},{"info":"↣≠⋷⫏≰1220220=NaN","layer":3},{"info":"⫏≰112100001⨰NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⫏≰20011001⨵⪆⫏≰10201122=⫏≰12221","layer":3},{"info":"⫏≰1102001⨰⫏≰2001220=⫏≰-122111","layer":3},{"info":"⫏≰12221⩷∴⫏≰-122111=⫏≰1200122","layer":2},{"info":"≤/⫏≰21221120=⫏≰-21021122","layer":3},{"info":"↔⫏≰-21021122=⫏≰-11222","layer":2},{"info":"⫏≰1200122↺⫏≰-11222=⫏≰-11222","layer":1},{"info":"NaN⨳⩥⨓⫏≰-11222=NaN","layer":0}]}
{"id":809,"expression_no_base_symbol":"≉(↥(($8447$∲⫓$4273$)⩨$4783$⋝⋈⪟$1187$))","expression":"≉(↥((⫏≰102120212∲⫓⫏≰12212021)⩨⫏≰20120011⋝⋈⪟⫏≰1121222))","highest_n_order":2,"priority_hierarchical_complexity":5,"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":8447,"base":3},"right_expr":{"type":"numeric_atoms","value":4273,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4783,"base":3},"right_expr":{"type":"numeric_atoms","value":1187,"base":3}}}}},"used_operators":["e1ybzncUwg","A8NUZmVepG","2DlMacCsIx","i8ToyICDmI","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=8447","layer":4},{"info":"number node, value=4273","layer":4},{"info":"compute binary expreesion, left_input=8447, right_input=4273, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4783","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=4783, right_input=1187, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4783","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4783, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', 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":3,"result_base":3,"text":"≉(↥((⫏≰102120212∲⫓⫏≰12212021)⩨⫏≰20120011⋝⋈⪟⫏≰1121222))=NaN","reverse_text":"NaN=≉(↥((⫏≰102120212∲⫓⫏≰12212021)⩨⫏≰20120011⋝⋈⪟⫏≰1121222))","cot":[{"info":"⫏≰102120212∲⫓⫏≰12212021=⫏≰0","layer":3},{"info":"⫏≰20120011⋝⋈⪟⫏≰1121222=⫏≰20120011","layer":3},{"info":"⫏≰0⩨⫏≰20120011=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":810,"expression_no_base_symbol":"$1043$≹⇙⪍$5118$⨟⋌⩍($2826$⪘⫢$4424$)⨪↰⇹($1322$⨪↰⇹$2482$⨐⩸⫘(∂$3938$))⋥≓≎(($1153$⊉≛↸$1258$)⨽$2116$⩷∴$6298$⪐)","expression":"⫏≰1102122≹⇙⪍⫏≰21000120⨟⋌⩍(⫏≰10212200⪘⫢⫏≰20001212)⨪↰⇹(⫏≰1210222⨪↰⇹⫏≰10101221⨐⩸⫘(∂⫏≰12101212))⋥≓≎((⫏≰1120201⊉≛↸⫏≰1201121)⨽⫏≰2220101⩷∴⫏≰22122021⪐)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3669,"operation_count":12,"complexity_ratio":305.75,"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":1043,"base":3},"right_expr":{"type":"numeric_atoms","value":5118,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2826,"base":3},"right_expr":{"type":"numeric_atoms","value":4424,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1322,"base":3},"right_expr":{"type":"numeric_atoms","value":2482,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3938,"base":3}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1153,"base":3},"right_expr":{"type":"numeric_atoms","value":1258,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2116,"base":3},"right_expr":{"type":"numeric_atoms","value":6298,"base":3}}}}},"used_operators":["Qy55tPpLXF","tmPS8pqC7x","rGHVDoGpnC","AHs5Up7iyr","oacrs7FA3X","fu6greOZ01","Uaa54Peajs","eH2TOUuTDT","8HhzD0ZcuI","DZ8iAZOCBD","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","Tcnh7f0tEr","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"number node, value=5118","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=5118, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2826","layer":4},{"info":"number node, value=4424","layer":4},{"info":"compute binary expreesion, left_input=2826, right_input=4424, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5528","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5528, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1322","layer":4},{"info":"number node, value=2482","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=2482, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1322","layer":3},{"info":"number node, value=3938","layer":4},{"info":"compute unary expreesion, input=3938, 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=1322, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1153","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=1258, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2306","layer":3},{"info":"number node, value=2116","layer":4},{"info":"number node, value=6298","layer":4},{"info":"compute binary expreesion, left_input=2116, right_input=6298, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8396","layer":3},{"info":"compute binary expreesion, left_input=2306, right_input=-8396, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-15926406","layer":2},{"info":"compute unary expreesion, input=-15926406, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-31852812","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-31852812, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"⫏≰1102122≹⇙⪍⫏≰21000120⨟⋌⩍(⫏≰10212200⪘⫢⫏≰20001212)⨪↰⇹(⫏≰1210222⨪↰⇹⫏≰10101221⨐⩸⫘(∂⫏≰12101212))⋥≓≎((⫏≰1120201⊉≛↸⫏≰1201121)⨽⫏≰2220101⩷∴⫏≰22122021⪐)=⫏≰2111","reverse_text":"⫏≰2111=⫏≰1102122≹⇙⪍⫏≰21000120⨟⋌⩍(⫏≰10212200⪘⫢⫏≰20001212)⨪↰⇹(⫏≰1210222⨪↰⇹⫏≰10101221⨐⩸⫘(∂⫏≰12101212))⋥≓≎((⫏≰1120201⊉≛↸⫏≰1201121)⨽⫏≰2220101⩷∴⫏≰22122021⪐)","cot":[{"info":"⫏≰1102122≹⇙⪍⫏≰21000120=NaN","layer":3},{"info":"⫏≰10212200⪘⫢⫏≰20001212=⫏≰21120202","layer":3},{"info":"NaN⨟⋌⩍⫏≰21120202=NaN","layer":2},{"info":"⫏≰1210222⨪↰⇹⫏≰10101221=⫏≰1210222","layer":3},{"info":"∂⫏≰12101212=NaN","layer":3},{"info":"⫏≰1210222⨐⩸⫘NaN=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⫏≰1120201⊉≛↸⫏≰1201121=⫏≰10011102","layer":3},{"info":"⫏≰2220101⩷∴⫏≰22122021=⫏≰-102111222","layer":3},{"info":"⫏≰10011102⨽⫏≰-102111222=⫏≰-1002222010220220","layer":2},{"info":"⫏≰-1002222010220220⪐=⫏≰-2012221021211210","layer":1},{"info":"NaN⋥≓≎⫏≰-2012221021211210=⫏≰2111","layer":0}]}
{"id":811,"expression_no_base_symbol":"⪲⇎(↣≠⋷(($5564$⊪)⩨$3439$⋳⪒$7765$))","expression":"⪲⇎(↣≠⋷((⫏≰21122002⊪)⩨⫏≰11201101⋳⪒⫏≰101122121))","highest_n_order":4,"priority_hierarchical_complexity":5,"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":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5564,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3439,"base":3},"right_expr":{"type":"numeric_atoms","value":7765,"base":3}}}}},"used_operators":["XPYlsWDdGa","Asc51vEJeQ","2DlMacCsIx","zVYPLywUTj","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=5564","layer":4},{"info":"compute unary expreesion, input=5564, 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=3439","layer":4},{"info":"number node, value=7765","layer":4},{"info":"compute binary expreesion, left_input=3439, right_input=7765, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1174","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1174, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪲⇎(↣≠⋷((⫏≰21122002⊪)⩨⫏≰11201101⋳⪒⫏≰101122121))=NaN","reverse_text":"NaN=⪲⇎(↣≠⋷((⫏≰21122002⊪)⩨⫏≰11201101⋳⪒⫏≰101122121))","cot":[{"info":"⫏≰21122002⊪=⫏≰0","layer":3},{"info":"⫏≰11201101⋳⪒⫏≰101122121=⫏≰-1121111","layer":3},{"info":"⫏≰0⩨⫏≰-1121111=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":812,"expression_no_base_symbol":"⫛⫱⨽(⫛⫱⨽(⫓⪴($1026$⪨≂$1501$)))","expression":"⫛⫱⨽(⫛⫱⨽(⫓⪴(⫏≰1102000⪨≂⫏≰2001121)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3187,"operation_count":4,"complexity_ratio":796.75,"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":1026,"base":3},"right_expr":{"type":"numeric_atoms","value":1501,"base":3}}}}},"used_operators":["DlLNRPXxWL","eLxqMNBOBk","sdazOOVcIp"],"dependent_operators":["rGHVDoGpnC","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1501, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-848","layer":3},{"info":"compute unary expreesion, input=-848, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=719104","layer":2},{"info":"compute unary expreesion, input=719104, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⫛⫱⨽(⫛⫱⨽(⫓⪴(⫏≰1102000⪨≂⫏≰2001121)))=⫏≰0","reverse_text":"⫏≰0=⫛⫱⨽(⫛⫱⨽(⫓⪴(⫏≰1102000⪨≂⫏≰2001121)))","cot":[{"info":"⫏≰1102000⪨≂⫏≰2001121=⫏≰-1011102","layer":3},{"info":"⫓⪴⫏≰-1011102=⫏≰1100112102111","layer":2},{"info":"⫛⫱⨽⫏≰1100112102111=⫏≰0","layer":1},{"info":"⫛⫱⨽⫏≰0=⫏≰0","layer":0}]}
{"id":813,"expression_no_base_symbol":"(($9162$≧⫂∧$4507$)∑⇟⊟$1132$⪛$4443$⋷(∂($2920$/$1644$)))≭(($6492$⨐⩸⫘$1098$∲⫓$4687$⊉≛↸$4925$)⩚⊴⇥($1846$∑⇟⊟$2433$)⪢($1008$∼$6087$))","expression":"((⫏≰110120100≧⫂∧⫏≰20011221)∑⇟⊟⫏≰1112221⪛⫏≰20002120⋷(∂(⫏≰11000011/⫏≰2020220)))≭((⫏≰22220110⨐⩸⫘⫏≰1111200∲⫓⫏≰20102121⊉≛↸⫏≰20202102)⩚⊴⇥(⫏≰2112101∑⇟⊟⫏≰10100010)⪢(⫏≰1101100∼⫏≰22100110))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":458,"operation_count":14,"complexity_ratio":32.714285714285715,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":9162,"base":3},"right_expr":{"type":"numeric_atoms","value":4507,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1132,"base":3},"right_expr":{"type":"numeric_atoms","value":4443,"base":3}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2920,"base":3},"right_expr":{"type":"numeric_atoms","value":1644,"base":3}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6492,"base":3},"right_expr":{"type":"numeric_atoms","value":1098,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4687,"base":3},"right_expr":{"type":"numeric_atoms","value":4925,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1846,"base":3},"right_expr":{"type":"numeric_atoms","value":2433,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1008,"base":3},"right_expr":{"type":"numeric_atoms","value":6087,"base":3}}}}},"used_operators":["rxpJgHHUmx","23Mk6UjR3U","U7g4x0WXJJ","Ph9nP6C5qx","uFcxV4UQCh","Uaa54Peajs","XhwjNDsVaA","NTOWxs364D","i8ToyICDmI","fu6greOZ01","DZ8iAZOCBD","dWAJyo7jo9","DyGG3AbaNP"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9162","layer":4},{"info":"number node, value=4507","layer":4},{"info":"compute binary expreesion, left_input=9162, right_input=4507, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4034","layer":3},{"info":"number node, value=1132","layer":4},{"info":"number node, value=4443","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=4443, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1132","layer":3},{"info":"compute binary expreesion, left_input=4034, right_input=1132, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2920","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=2920, right_input=1644, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=6492","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=6492, right_input=1098, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4687","layer":4},{"info":"number node, value=4925","layer":4},{"info":"compute binary expreesion, left_input=4687, right_input=4925, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9374","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9374, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1846","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=2433, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=6087","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=6087, 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":"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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"((⫏≰110120100≧⫂∧⫏≰20011221)∑⇟⊟⫏≰1112221⪛⫏≰20002120⋷(∂(⫏≰11000011/⫏≰2020220)))≭((⫏≰22220110⨐⩸⫘⫏≰1111200∲⫓⫏≰20102121⊉≛↸⫏≰20202102)⩚⊴⇥(⫏≰2112101∑⇟⊟⫏≰10100010)⪢(⫏≰1101100∼⫏≰22100110))=NaN","reverse_text":"NaN=((⫏≰110120100≧⫂∧⫏≰20011221)∑⇟⊟⫏≰1112221⪛⫏≰20002120⋷(∂(⫏≰11000011/⫏≰2020220)))≭((⫏≰22220110⨐⩸⫘⫏≰1111200∲⫓⫏≰20102121⊉≛↸⫏≰20202102)⩚⊴⇥(⫏≰2112101∑⇟⊟⫏≰10100010)⪢(⫏≰1101100∼⫏≰22100110))","cot":[{"info":"⫏≰110120100≧⫂∧⫏≰20011221=⫏≰12112102","layer":3},{"info":"⫏≰1112221⪛⫏≰20002120=⫏≰1112221","layer":3},{"info":"⫏≰12112102∑⇟⊟⫏≰1112221=NaN","layer":2},{"info":"⫏≰11000011/⫏≰2020220=⫏≰1","layer":3},{"info":"∂⫏≰1=⫏≰-100211","layer":2},{"info":"NaN⋷⫏≰-100211=NaN","layer":1},{"info":"⫏≰22220110⨐⩸⫘⫏≰1111200=NaN","layer":3},{"info":"⫏≰20102121⊉≛↸⫏≰20202102=⫏≰110212012","layer":3},{"info":"NaN∲⫓⫏≰110212012=⫏≰0","layer":2},{"info":"⫏≰2112101∑⇟⊟⫏≰10100010=NaN","layer":3},{"info":"⫏≰1101100∼⫏≰22100110=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"⫏≰0⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":814,"expression_no_base_symbol":"⊙↵-(($2034$/$3282$)⨰(∂$1080$)⊭∹↮)","expression":"⊙↵-((⫏≰2210100/⫏≰11111120)⨰(∂⫏≰1111000)⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":41,"operation_count":5,"complexity_ratio":8.2,"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":2034,"base":3},"right_expr":{"type":"numeric_atoms","value":3282,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1080,"base":3}}}}},"used_operators":["oWn0xqSxBt","xNBdhnnwKq","eewbuw0ToL","XhwjNDsVaA","Uaa54Peajs"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2034","layer":4},{"info":"number node, value=3282","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=3282, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊙↵-((⫏≰2210100/⫏≰11111120)⨰(∂⫏≰1111000)⊭∹↮)=NaN","reverse_text":"NaN=⊙↵-((⫏≰2210100/⫏≰11111120)⨰(∂⫏≰1111000)⊭∹↮)","cot":[{"info":"⫏≰2210100/⫏≰11111120=⫏≰0","layer":3},{"info":"∂⫏≰1111000=NaN","layer":3},{"info":"⫏≰0⨰NaN=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":815,"expression_no_base_symbol":"((⩦⩻⨪$2219$)⪒$7664$⪛$6528$)≎⊠⪸($6302$⨳⩥⨓$1134$)⨰(⋗⩬⋾$3568$)⫥∨⫟((⫛⫱⨽$7297$)⪠⩆⊳)⇷(≉$2259$↺$1078$)","expression":"((⩦⩻⨪⫏≰10001012)⪒⫏≰101111212⪛⫏≰22221210)≎⊠⪸(⫏≰22122102⨳⩥⨓⫏≰1120000)⨰(⋗⩬⋾⫏≰11220011)⫥∨⫟((⫛⫱⨽⫏≰101000021)⪠⩆⊳)⇷(≉⫏≰10002200↺⫏≰1110221)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1886,"operation_count":13,"complexity_ratio":145.07692307692307,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2219,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7664,"base":3},"right_expr":{"type":"numeric_atoms","value":6528,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6302,"base":3},"right_expr":{"type":"numeric_atoms","value":1134,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3568,"base":3}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7297,"base":3}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2259,"base":3},"right_expr":{"type":"numeric_atoms","value":1078,"base":3}}}}},"used_operators":["KYD54nUTWz","bJkvcejdHO","f6k1SAg4EE","2td37pGCOC","uFcxV4UQCh","eewbuw0ToL","nCS4ZIUYfx","DpFCA1CohY","mp7IySMOzn","JLbD19bQDL","DlLNRPXxWL","e1ybzncUwg","7j4O788W3g"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2219","layer":4},{"info":"compute unary expreesion, input=2219, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2219","layer":3},{"info":"number node, value=7664","layer":4},{"info":"number node, value=6528","layer":4},{"info":"compute binary expreesion, left_input=7664, right_input=6528, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1136","layer":3},{"info":"compute binary expreesion, left_input=2219, right_input=1136, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3355","layer":2},{"info":"number node, value=6302","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=6302, right_input=1134, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5168","layer":3},{"info":"number node, value=3568","layer":4},{"info":"compute unary expreesion, input=3568, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10704","layer":3},{"info":"compute binary expreesion, left_input=-5168, right_input=-10704, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5546","layer":2},{"info":"compute binary expreesion, left_input=-3355, right_input=5546, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=868945","layer":1},{"info":"number node, value=7297","layer":4},{"info":"compute unary expreesion, input=7297, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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":"number node, value=2259","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=1078, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1078","layer":3},{"info":"compute unary expreesion, input=1078, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1609","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1609, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3218","layer":1},{"info":"compute binary expreesion, left_input=868945, right_input=3218, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⩦⩻⨪⫏≰10001012)⪒⫏≰101111212⪛⫏≰22221210)≎⊠⪸(⫏≰22122102⨳⩥⨓⫏≰1120000)⨰(⋗⩬⋾⫏≰11220011)⫥∨⫟((⫛⫱⨽⫏≰101000021)⪠⩆⊳)⇷(≉⫏≰10002200↺⫏≰1110221)=NaN","reverse_text":"NaN=((⩦⩻⨪⫏≰10001012)⪒⫏≰101111212⪛⫏≰22221210)≎⊠⪸(⫏≰22122102⨳⩥⨓⫏≰1120000)⨰(⋗⩬⋾⫏≰11220011)⫥∨⫟((⫛⫱⨽⫏≰101000021)⪠⩆⊳)⇷(≉⫏≰10002200↺⫏≰1110221)","cot":[{"info":"⩦⩻⨪⫏≰10001012=⫏≰10001012","layer":3},{"info":"⫏≰101111212⪛⫏≰22221210=⫏≰1120002","layer":3},{"info":"⫏≰10001012⪒⫏≰1120002=⫏≰-11121021","layer":2},{"info":"⫏≰22122102⨳⩥⨓⫏≰1120000=⫏≰-21002102","layer":3},{"info":"⋗⩬⋾⫏≰11220011=⫏≰-112200110","layer":3},{"info":"⫏≰-21002102⨰⫏≰-112200110=⫏≰21121102","layer":2},{"info":"⫏≰-11121021≎⊠⪸⫏≰21121102=⫏≰1122010222011","layer":1},{"info":"⫛⫱⨽⫏≰101000021=⫏≰0","layer":3},{"info":"⫏≰0⪠⩆⊳=⫏≰0","layer":2},{"info":"⫏≰10002200↺⫏≰1110221=⫏≰1110221","layer":3},{"info":"≉⫏≰1110221=⫏≰2012121","layer":2},{"info":"⫏≰0⇷⫏≰2012121=⫏≰11102012","layer":1},{"info":"⫏≰1122010222011⫥∨⫟⫏≰11102012=NaN","layer":0}]}
{"id":816,"expression_no_base_symbol":"(($3972$⪘⫢$1726$⋥≓≎$6463$⪮%⊝$2276$)≦≮≮)⋓(($5960$⨽$4333$⋷$5994$⩨$1203$)⫥∨⫟((⊥$1095$)⨵⪆$6034$⪮%⊝$3760$))","expression":"((⫏≰12110010⪘⫢⫏≰2100221⋥≓≎⫏≰22212101⪮%⊝⫏≰10010022)≦≮≮)⋓((⫏≰22011202⨽⫏≰12221111⋷⫏≰22020000⩨⫏≰1122120)⫥∨⫟((⊥⫏≰1111120)⨵⪆⫏≰22021111⪮%⊝⫏≰12011021))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6184,"operation_count":12,"complexity_ratio":515.3333333333334,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3972,"base":3},"right_expr":{"type":"numeric_atoms","value":1726,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6463,"base":3},"right_expr":{"type":"numeric_atoms","value":2276,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5960,"base":3},"right_expr":{"type":"numeric_atoms","value":4333,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5994,"base":3},"right_expr":{"type":"numeric_atoms","value":1203,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1095,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6034,"base":3},"right_expr":{"type":"numeric_atoms","value":3760,"base":3}}}}},"used_operators":["T2fj7uvVaJ","D4vGDi5EA2","Qy55tPpLXF","oacrs7FA3X","IWmyXbctLI","KYD54nUTWz","23Mk6UjR3U","8HhzD0ZcuI","2DlMacCsIx","2DQ55sFlQl","Q3PJZHRvZv"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3972","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=3972, right_input=1726, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7820","layer":3},{"info":"number node, value=6463","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=6463, right_input=2276, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13242","layer":3},{"info":"compute binary expreesion, left_input=7820, right_input=13242, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=18697","layer":2},{"info":"compute unary expreesion, input=18697, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-56091","layer":1},{"info":"number node, value=5960","layer":4},{"info":"number node, value=4333","layer":4},{"info":"compute binary expreesion, left_input=5960, right_input=4333, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-106576485","layer":3},{"info":"number node, value=5994","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=5994, right_input=1203, 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=-106576485, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=213152970","layer":2},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=6034","layer":4},{"info":"number node, value=3760","layer":4},{"info":"compute binary expreesion, left_input=6034, right_input=3760, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12384","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12384, 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=213152970, right_input=160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-56091, 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":3,"result_base":3,"text":"((⫏≰12110010⪘⫢⫏≰2100221⋥≓≎⫏≰22212101⪮%⊝⫏≰10010022)≦≮≮)⋓((⫏≰22011202⨽⫏≰12221111⋷⫏≰22020000⩨⫏≰1122120)⫥∨⫟((⊥⫏≰1111120)⨵⪆⫏≰22021111⪮%⊝⫏≰12011021))=NaN","reverse_text":"NaN=((⫏≰12110010⪘⫢⫏≰2100221⋥≓≎⫏≰22212101⪮%⊝⫏≰10010022)≦≮≮)⋓((⫏≰22011202⨽⫏≰12221111⋷⫏≰22020000⩨⫏≰1122120)⫥∨⫟((⊥⫏≰1111120)⨵⪆⫏≰22021111⪮%⊝⫏≰12011021))","cot":[{"info":"⫏≰12110010⪘⫢⫏≰2100221=⫏≰101201122","layer":3},{"info":"⫏≰22212101⪮%⊝⫏≰10010022=⫏≰200011110","layer":3},{"info":"⫏≰101201122⋥≓≎⫏≰200011110=⫏≰221122111","layer":2},{"info":"⫏≰221122111≦≮≮=⫏≰-2211221110","layer":1},{"info":"⫏≰22011202⨽⫏≰12221111=⫏≰-21102112122110020","layer":3},{"info":"⫏≰22020000⩨⫏≰1122120=⫏≰0","layer":3},{"info":"⫏≰-21102112122110020⋷⫏≰0=⫏≰112212002021220110","layer":2},{"info":"⊥⫏≰1111120=NaN","layer":3},{"info":"⫏≰22021111⪮%⊝⫏≰12011021=⫏≰121222200","layer":3},{"info":"NaN⨵⪆⫏≰121222200=⫏≰12221","layer":2},{"info":"⫏≰112212002021220110⫥∨⫟⫏≰12221=NaN","layer":1},{"info":"⫏≰-2211221110⋓NaN=NaN","layer":0}]}
{"id":817,"expression_no_base_symbol":"((($1715$+$2626$)⨎(≉$3307$))⫩⊇)⊭↱($6489$⋝⋈⪟$3044$⩷∴$1620$⨓$2224$)⪛(($1324$⨽$6894$)⨰($1422$⫌⩹⨱))","expression":"(((⫏≰2100112+⫏≰10121021)⨎(≉⫏≰11112111))⫩⊇)⊭↱(⫏≰22220100⋝⋈⪟⫏≰11011202⩷∴⫏≰2020000⨓⫏≰10001101)⪛((⫏≰1211001⨽⫏≰100110100)⨰(⫏≰1221200⫌⩹⨱))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3601,"operation_count":12,"complexity_ratio":300.0833333333333,"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":1715,"base":3},"right_expr":{"type":"numeric_atoms","value":2626,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3307,"base":3}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6489,"base":3},"right_expr":{"type":"numeric_atoms","value":3044,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1620,"base":3},"right_expr":{"type":"numeric_atoms","value":2224,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1324,"base":3},"right_expr":{"type":"numeric_atoms","value":6894,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1422,"base":3}}}}},"used_operators":["COABgblf1C","BjRHVeLaeN","rJVOvQCfKK","W4YGzv6Whe","e1ybzncUwg","uFcxV4UQCh","9FxExcQeMw","2DDjHMKMc0","3ViojmjbAp","eewbuw0ToL","8HhzD0ZcuI","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰-201210121101100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1715","layer":4},{"info":"number node, value=2626","layer":4},{"info":"compute binary expreesion, left_input=1715, right_input=2626, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4341","layer":3},{"info":"number node, value=3307","layer":4},{"info":"compute unary expreesion, input=3307, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3838","layer":3},{"info":"compute binary expreesion, left_input=4341, right_input=3838, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3838","layer":2},{"info":"compute unary expreesion, input=3838, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3796","layer":1},{"info":"number node, value=6489","layer":4},{"info":"number node, value=3044","layer":4},{"info":"compute binary expreesion, left_input=6489, right_input=3044, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6489","layer":3},{"info":"number node, value=1620","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=2224, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2227","layer":3},{"info":"compute binary expreesion, left_input=6489, right_input=-2227, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=17400","layer":2},{"info":"number node, value=1324","layer":4},{"info":"number node, value=6894","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=6894, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5278296","layer":3},{"info":"number node, value=1422","layer":4},{"info":"compute unary expreesion, input=1422, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4245","layer":3},{"info":"compute binary expreesion, left_input=-5278296, right_input=4245, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5282531","layer":2},{"info":"compute binary expreesion, left_input=17400, right_input=-5282531, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-5265131","layer":1},{"info":"compute binary expreesion, left_input=-3796, right_input=-5265131, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-10522665","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2100112+⫏≰10121021)⨎(≉⫏≰11112111))⫩⊇)⊭↱(⫏≰22220100⋝⋈⪟⫏≰11011202⩷∴⫏≰2020000⨓⫏≰10001101)⪛((⫏≰1211001⨽⫏≰100110100)⨰(⫏≰1221200⫌⩹⨱))=⫏≰-201210121101100","reverse_text":"⫏≰-201210121101100=(((⫏≰2100112+⫏≰10121021)⨎(≉⫏≰11112111))⫩⊇)⊭↱(⫏≰22220100⋝⋈⪟⫏≰11011202⩷∴⫏≰2020000⨓⫏≰10001101)⪛((⫏≰1211001⨽⫏≰100110100)⨰(⫏≰1221200⫌⩹⨱))","cot":[{"info":"⫏≰2100112+⫏≰10121021=⫏≰12221210","layer":3},{"info":"≉⫏≰11112111=⫏≰12021011","layer":3},{"info":"⫏≰12221210⨎⫏≰12021011=⫏≰12021011","layer":2},{"info":"⫏≰12021011⫩⊇=⫏≰-12012121","layer":1},{"info":"⫏≰22220100⋝⋈⪟⫏≰11011202=⫏≰22220100","layer":3},{"info":"⫏≰2020000⨓⫏≰10001101=⫏≰-10001111","layer":3},{"info":"⫏≰22220100⩷∴⫏≰-10001111=⫏≰212212110","layer":2},{"info":"⫏≰1211001⨽⫏≰100110100=⫏≰-100221011110110","layer":3},{"info":"⫏≰1221200⫌⩹⨱=⫏≰12211020","layer":3},{"info":"⫏≰-100221011110110⨰⫏≰12211020=⫏≰-100221101021022","layer":2},{"info":"⫏≰212212110⪛⫏≰-100221101021022=⫏≰-100220111101212","layer":1},{"info":"⫏≰-12012121⊭↱⫏≰-100220111101212=⫏≰-201210121101100","layer":0}]}
{"id":818,"expression_no_base_symbol":"(($5651$⨳⩥⨓$1280$)⨟⋌⩍($4637$⨎$2858$)⨵⪆$1411$∼$1147$⫥∨⫟($3257$↙$1610$))⋳⪒(($6483$⋓$6130$-$2448$+⇶⊼$8457$)⊘)","expression":"((⫏≰21202022⨳⩥⨓⫏≰1202102)⨟⋌⩍(⫏≰20100202⨎⫏≰10220212)⨵⪆⫏≰1221021∼⫏≰1120111⫥∨⫟(⫏≰11110122↙⫏≰2012122))⋳⪒((⫏≰22220010⋓⫏≰22102001-⫏≰10100200+⇶⊼⫏≰102121020)⊘)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1845,"operation_count":12,"complexity_ratio":153.75,"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":5651,"base":3},"right_expr":{"type":"numeric_atoms","value":1280,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4637,"base":3},"right_expr":{"type":"numeric_atoms","value":2858,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1411,"base":3},"right_expr":{"type":"numeric_atoms","value":1147,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3257,"base":3},"right_expr":{"type":"numeric_atoms","value":1610,"base":3}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6483,"base":3},"right_expr":{"type":"numeric_atoms","value":6130,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2448,"base":3},"right_expr":{"type":"numeric_atoms","value":8457,"base":3}}}}},"used_operators":["12rbrZMWeM","2DQ55sFlQl","rGHVDoGpnC","nCS4ZIUYfx","rJVOvQCfKK","KYD54nUTWz","DyGG3AbaNP","yyfyN0ffXY","gu96TGCTMs","rysDP5nf3Z","T2fj7uvVaJ","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5651","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=5651, right_input=1280, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4371","layer":3},{"info":"number node, value=4637","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=4637, right_input=2858, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2858","layer":3},{"info":"compute binary expreesion, left_input=-4371, right_input=2858, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1411","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=1147, 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=3257","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=3257, right_input=1610, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4830","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4830, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=6483","layer":4},{"info":"number node, value=6130","layer":4},{"info":"compute binary expreesion, left_input=6483, right_input=6130, op_id = T2fj7uvVaJ 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=2448","layer":4},{"info":"number node, value=8457","layer":4},{"info":"compute binary expreesion, left_input=2448, right_input=8457, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = rysDP5nf3Z binary_op_definition= 'None', 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=160, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21202022⨳⩥⨓⫏≰1202102)⨟⋌⩍(⫏≰20100202⨎⫏≰10220212)⨵⪆⫏≰1221021∼⫏≰1120111⫥∨⫟(⫏≰11110122↙⫏≰2012122))⋳⪒((⫏≰22220010⋓⫏≰22102001-⫏≰10100200+⇶⊼⫏≰102121020)⊘)=NaN","reverse_text":"NaN=((⫏≰21202022⨳⩥⨓⫏≰1202102)⨟⋌⩍(⫏≰20100202⨎⫏≰10220212)⨵⪆⫏≰1221021∼⫏≰1120111⫥∨⫟(⫏≰11110122↙⫏≰2012122))⋳⪒((⫏≰22220010⋓⫏≰22102001-⫏≰10100200+⇶⊼⫏≰102121020)⊘)","cot":[{"info":"⫏≰21202022⨳⩥⨓⫏≰1202102=⫏≰-12222220","layer":3},{"info":"⫏≰20100202⨎⫏≰10220212=⫏≰10220212","layer":3},{"info":"⫏≰-12222220⨟⋌⩍⫏≰10220212=NaN","layer":2},{"info":"⫏≰1221021∼⫏≰1120111=NaN","layer":3},{"info":"⫏≰11110122↙⫏≰2012122=⫏≰-20121220","layer":3},{"info":"NaN⫥∨⫟⫏≰-20121220=NaN","layer":2},{"info":"NaN⨵⪆NaN=⫏≰12221","layer":1},{"info":"⫏≰22220010⋓⫏≰22102001=⫏≰0","layer":3},{"info":"⫏≰10100200+⇶⊼⫏≰102121020=NaN","layer":3},{"info":"⫏≰0-NaN=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⫏≰12221⋳⪒NaN=NaN","layer":0}]}
{"id":819,"expression_no_base_symbol":"(⫓⪴($4148$↙$1085$⩨$3193$≭$5004$))≫≃","expression":"(⫓⪴(⫏≰12200122↙⫏≰1111012⩨⫏≰11101021≭⫏≰20212100))≫≃","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1101,"operation_count":5,"complexity_ratio":220.2,"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":4148,"base":3},"right_expr":{"type":"numeric_atoms","value":1085,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3193,"base":3},"right_expr":{"type":"numeric_atoms","value":5004,"base":3}}}}},"used_operators":["X99M06cbEe","eLxqMNBOBk","2DlMacCsIx","yyfyN0ffXY","rxpJgHHUmx"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4148","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=4148, right_input=1085, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3255","layer":3},{"info":"number node, value=3193","layer":4},{"info":"number node, value=5004","layer":4},{"info":"compute binary expreesion, left_input=3193, right_input=5004, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-3255, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', 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":3,"result_base":3,"text":"(⫓⪴(⫏≰12200122↙⫏≰1111012⩨⫏≰11101021≭⫏≰20212100))≫≃=NaN","reverse_text":"NaN=(⫓⪴(⫏≰12200122↙⫏≰1111012⩨⫏≰11101021≭⫏≰20212100))≫≃","cot":[{"info":"⫏≰12200122↙⫏≰1111012=⫏≰-11110120","layer":3},{"info":"⫏≰11101021≭⫏≰20212100=NaN","layer":3},{"info":"⫏≰-11110120⩨NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":820,"expression_no_base_symbol":"($1893$⪛$1001$⩚⊴⇥(↔$1471$))⪘⫢(($1689$⇋≉)⋷$1866$⊭↱$3745$)↺((⪲⇎$7990$)⨸⪁$4662$⋓$2150$∲⫓($2932$⫩⊇)⇷(⋗⩬⋾$1020$))","expression":"(⫏≰2121010⪛⫏≰1101002⩚⊴⇥(↔⫏≰2000111))⪘⫢((⫏≰2022120⇋≉)⋷⫏≰2120010⊭↱⫏≰12010201)↺((⪲⇎⫏≰101221221)⨸⪁⫏≰20101200⋓⫏≰2221122∲⫓(⫏≰11000121⫩⊇)⇷(⋗⩬⋾⫏≰1101210))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":40536,"operation_count":15,"complexity_ratio":2702.4,"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":1893,"base":3},"right_expr":{"type":"numeric_atoms","value":1001,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1471,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1689,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1866,"base":3},"right_expr":{"type":"numeric_atoms","value":3745,"base":3}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":7990,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4662,"base":3},"right_expr":{"type":"numeric_atoms","value":2150,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2932,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1020,"base":3}}}}},"used_operators":["7j4O788W3g","oacrs7FA3X","NTOWxs364D","uFcxV4UQCh","ruOEQAzv1W","23Mk6UjR3U","XIabStNQrY","COABgblf1C","i8ToyICDmI","g55IO6H4Gj","XPYlsWDdGa","T2fj7uvVaJ","mp7IySMOzn","BjRHVeLaeN","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1893","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=1001, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=892","layer":3},{"info":"number node, value=1471","layer":4},{"info":"compute unary expreesion, input=1471, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1198","layer":3},{"info":"compute binary expreesion, left_input=892, right_input=-1198, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=185","layer":2},{"info":"number node, value=1689","layer":4},{"info":"compute unary expreesion, input=1689, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3280","layer":3},{"info":"number node, value=1866","layer":4},{"info":"number node, value=3745","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=3745, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3763","layer":3},{"info":"compute binary expreesion, left_input=3280, right_input=3763, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4246","layer":2},{"info":"compute binary expreesion, left_input=185, right_input=4246, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=246","layer":1},{"info":"number node, value=7990","layer":4},{"info":"compute unary expreesion, input=7990, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=15980","layer":3},{"info":"number node, value=4662","layer":4},{"info":"number node, value=2150","layer":4},{"info":"compute binary expreesion, left_input=4662, right_input=2150, op_id = T2fj7uvVaJ 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=15980, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=31960","layer":2},{"info":"number node, value=2932","layer":4},{"info":"compute unary expreesion, input=2932, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2890","layer":3},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3060","layer":3},{"info":"compute binary expreesion, left_input=-2890, right_input=-3060, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=31960, 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=246, 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":3,"result_base":3,"text":"(⫏≰2121010⪛⫏≰1101002⩚⊴⇥(↔⫏≰2000111))⪘⫢((⫏≰2022120⇋≉)⋷⫏≰2120010⊭↱⫏≰12010201)↺((⪲⇎⫏≰101221221)⨸⪁⫏≰20101200⋓⫏≰2221122∲⫓(⫏≰11000121⫩⊇)⇷(⋗⩬⋾⫏≰1101210))=NaN","reverse_text":"NaN=(⫏≰2121010⪛⫏≰1101002⩚⊴⇥(↔⫏≰2000111))⪘⫢((⫏≰2022120⇋≉)⋷⫏≰2120010⊭↱⫏≰12010201)↺((⪲⇎⫏≰101221221)⨸⪁⫏≰20101200⋓⫏≰2221122∲⫓(⫏≰11000121⫩⊇)⇷(⋗⩬⋾⫏≰1101210))","cot":[{"info":"⫏≰2121010⪛⫏≰1101002=⫏≰1020001","layer":3},{"info":"↔⫏≰2000111=⫏≰-1122101","layer":3},{"info":"⫏≰1020001⩚⊴⇥⫏≰-1122101=⫏≰20212","layer":2},{"info":"⫏≰2022120⇋≉=⫏≰11111111","layer":3},{"info":"⫏≰2120010⊭↱⫏≰12010201=⫏≰12011101","layer":3},{"info":"⫏≰11111111⋷⫏≰12011101=⫏≰12211021","layer":2},{"info":"⫏≰20212⪘⫢⫏≰12211021=⫏≰100010","layer":1},{"info":"⪲⇎⫏≰101221221=⫏≰210220212","layer":3},{"info":"⫏≰20101200⋓⫏≰2221122=⫏≰0","layer":3},{"info":"⫏≰210220212⨸⪁⫏≰0=⫏≰1121211201","layer":2},{"info":"⫏≰11000121⫩⊇=⫏≰-10222001","layer":3},{"info":"⋗⩬⋾⫏≰1101210=⫏≰-11012100","layer":3},{"info":"⫏≰-10222001⇷⫏≰-11012100=NaN","layer":2},{"info":"⫏≰1121211201∲⫓NaN=NaN","layer":1},{"info":"⫏≰100010↺NaN=NaN","layer":0}]}
{"id":821,"expression_no_base_symbol":"($1349$⊉≛↸$3114$⪨≂($6245$+$3792$))⪛($1115$⇼⇔∾$1043$)⪮%⊝($2882$-$2303$)↙(($1422$≣⋋)⨽($1162$⨳⩥⨓$7632$)↙$1005$⪘⫢$1881$⨰($7043$↺$4660$))","expression":"(⫏≰1211222⊉≛↸⫏≰11021100⪨≂(⫏≰22120022+⫏≰12012110))⪛(⫏≰1112022⇼⇔∾⫏≰1102122)⪮%⊝(⫏≰10221202-⫏≰10011022)↙((⫏≰1221200≣⋋)⨽(⫏≰1121001⨳⩥⨓⫏≰101110200)↙⫏≰1101020⪘⫢⫏≰2120200⨰(⫏≰100122212↺⫏≰20101121))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":659,"operation_count":15,"complexity_ratio":43.93333333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1349,"base":3},"right_expr":{"type":"numeric_atoms","value":3114,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6245,"base":3},"right_expr":{"type":"numeric_atoms","value":3792,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1115,"base":3},"right_expr":{"type":"numeric_atoms","value":1043,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2882,"base":3},"right_expr":{"type":"numeric_atoms","value":2303,"base":3}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1422,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1162,"base":3},"right_expr":{"type":"numeric_atoms","value":7632,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1005,"base":3},"right_expr":{"type":"numeric_atoms","value":1881,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7043,"base":3},"right_expr":{"type":"numeric_atoms","value":4660,"base":3}}}}},"used_operators":["yyfyN0ffXY","uFcxV4UQCh","sdazOOVcIp","DZ8iAZOCBD","W4YGzv6Whe","IWmyXbctLI","tifHPKVTfV","rysDP5nf3Z","8HhzD0ZcuI","Tcnh7f0tEr","nCS4ZIUYfx","eewbuw0ToL","oacrs7FA3X","7j4O788W3g"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰1122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=3114, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2698","layer":3},{"info":"number node, value=6245","layer":4},{"info":"number node, value=3792","layer":4},{"info":"compute binary expreesion, left_input=6245, right_input=3792, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10037","layer":3},{"info":"compute binary expreesion, left_input=2698, right_input=10037, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-14576","layer":2},{"info":"number node, value=1115","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1043, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-72","layer":3},{"info":"number node, value=2882","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=2882, right_input=2303, op_id = rysDP5nf3Z binary_op_definition= 'None', output=579","layer":3},{"info":"compute binary expreesion, left_input=-72, right_input=579, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=172","layer":2},{"info":"compute binary expreesion, left_input=-14576, right_input=172, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=44","layer":1},{"info":"number node, value=1422","layer":4},{"info":"compute unary expreesion, input=1422, 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=1162","layer":4},{"info":"number node, value=7632","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=7632, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6470","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6470, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18096","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1881, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1886","layer":3},{"info":"number node, value=7043","layer":4},{"info":"number node, value=4660","layer":4},{"info":"compute binary expreesion, left_input=7043, right_input=4660, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4660","layer":3},{"info":"compute binary expreesion, left_input=1886, right_input=4660, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2764","layer":2},{"info":"compute binary expreesion, left_input=-18096, right_input=-2764, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-18096","layer":1},{"info":"compute binary expreesion, left_input=44, right_input=-18096, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=44","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1211222⊉≛↸⫏≰11021100⪨≂(⫏≰22120022+⫏≰12012110))⪛(⫏≰1112022⇼⇔∾⫏≰1102122)⪮%⊝(⫏≰10221202-⫏≰10011022)↙((⫏≰1221200≣⋋)⨽(⫏≰1121001⨳⩥⨓⫏≰101110200)↙⫏≰1101020⪘⫢⫏≰2120200⨰(⫏≰100122212↺⫏≰20101121))=⫏≰1122","reverse_text":"⫏≰1122=(⫏≰1211222⊉≛↸⫏≰11021100⪨≂(⫏≰22120022+⫏≰12012110))⪛(⫏≰1112022⇼⇔∾⫏≰1102122)⪮%⊝(⫏≰10221202-⫏≰10011022)↙((⫏≰1221200≣⋋)⨽(⫏≰1121001⨳⩥⨓⫏≰101110200)↙⫏≰1101020⪘⫢⫏≰2120200⨰(⫏≰100122212↺⫏≰20101121))","cot":[{"info":"⫏≰1211222⊉≛↸⫏≰11021100=⫏≰10200221","layer":3},{"info":"⫏≰22120022+⫏≰12012110=⫏≰111202202","layer":3},{"info":"⫏≰10200221⪨≂⫏≰111202202=⫏≰-201222212","layer":2},{"info":"⫏≰1112022⇼⇔∾⫏≰1102122=⫏≰-2200","layer":3},{"info":"⫏≰10221202-⫏≰10011022=⫏≰210110","layer":3},{"info":"⫏≰-2200⪮%⊝⫏≰210110=⫏≰20101","layer":2},{"info":"⫏≰-201222212⪛⫏≰20101=⫏≰1122","layer":1},{"info":"⫏≰1221200≣⋋=⫏≰0","layer":3},{"info":"⫏≰1121001⨳⩥⨓⫏≰101110200=⫏≰22212122","layer":3},{"info":"⫏≰0⨽⫏≰22212122=⫏≰-220211020","layer":2},{"info":"⫏≰1101020⪘⫢⫏≰2120200=⫏≰2120212","layer":3},{"info":"⫏≰100122212↺⫏≰20101121=⫏≰20101121","layer":3},{"info":"⫏≰2120212⨰⫏≰20101121=⫏≰-10210101","layer":2},{"info":"⫏≰-220211020↙⫏≰-10210101=⫏≰-220211020","layer":1},{"info":"⫏≰1122↙⫏≰-220211020=⫏≰1122","layer":0}]}
{"id":822,"expression_no_base_symbol":"(($1899$⪄$3368$)≭($2176$⨸⪁$2872$))∼(($1227$⨁⊸⫻)%($3538$⇋≉))-(⨈⫕($2967$∲⫓$3198$))*(⊄⩳↩($2160$⊉≛↸$1435$))","expression":"((⫏≰2121100⪄⫏≰11121202)≭(⫏≰2222121⨸⪁⫏≰10221101))∼((⫏≰1200110⨁⊸⫻)%(⫏≰11212001⇋≉))-(⨈⫕(⫏≰11001220∲⫓⫏≰11101110))*(⊄⩳↩(⫏≰2222000⊉≛↸⫏≰1222011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":522,"operation_count":13,"complexity_ratio":40.15384615384615,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1899,"base":3},"right_expr":{"type":"numeric_atoms","value":3368,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2176,"base":3},"right_expr":{"type":"numeric_atoms","value":2872,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1227,"base":3}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3538,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2967,"base":3},"right_expr":{"type":"numeric_atoms","value":3198,"base":3}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2160,"base":3},"right_expr":{"type":"numeric_atoms","value":1435,"base":3}}}}},"used_operators":["rysDP5nf3Z","DyGG3AbaNP","rxpJgHHUmx","SUmda5xLS4","g55IO6H4Gj","k8jYdgA6NY","glklzrTFfD","XIabStNQrY","9HNa5Wba9A","megm06wKyl","i8ToyICDmI","8w2t5hMYqp","DZ8iAZOCBD"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1899","layer":4},{"info":"number node, value=3368","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=3368, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-290613","layer":3},{"info":"number node, value=2176","layer":4},{"info":"number node, value=2872","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=2872, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10096","layer":3},{"info":"compute binary expreesion, left_input=-290613, right_input=10096, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1227","layer":4},{"info":"compute unary expreesion, input=1227, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1227","layer":3},{"info":"number node, value=3538","layer":4},{"info":"compute unary expreesion, input=3538, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6978","layer":3},{"info":"compute binary expreesion, left_input=1227, right_input=6978, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1227","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1227, 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=2967","layer":4},{"info":"number node, value=3198","layer":4},{"info":"compute binary expreesion, left_input=2967, right_input=3198, 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 = 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=2160","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=1435, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4320","layer":3},{"info":"compute unary expreesion, input=4320, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12960","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-12960, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=272160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=272160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2121100⪄⫏≰11121202)≭(⫏≰2222121⨸⪁⫏≰10221101))∼((⫏≰1200110⨁⊸⫻)%(⫏≰11212001⇋≉))-(⨈⫕(⫏≰11001220∲⫓⫏≰11101110))*(⊄⩳↩(⫏≰2222000⊉≛↸⫏≰1222011))=NaN","reverse_text":"NaN=((⫏≰2121100⪄⫏≰11121202)≭(⫏≰2222121⨸⪁⫏≰10221101))∼((⫏≰1200110⨁⊸⫻)%(⫏≰11212001⇋≉))-(⨈⫕(⫏≰11001220∲⫓⫏≰11101110))*(⊄⩳↩(⫏≰2222000⊉≛↸⫏≰1222011))","cot":[{"info":"⫏≰2121100⪄⫏≰11121202=⫏≰-112202122110","layer":3},{"info":"⫏≰2222121⨸⪁⫏≰10221101=⫏≰111211221","layer":3},{"info":"⫏≰-112202122110≭⫏≰111211221=NaN","layer":2},{"info":"⫏≰1200110⨁⊸⫻=⫏≰1200110","layer":3},{"info":"⫏≰11212001⇋≉=⫏≰100120110","layer":3},{"info":"⫏≰1200110%⫏≰100120110=⫏≰1200110","layer":2},{"info":"NaN∼⫏≰1200110=NaN","layer":1},{"info":"⫏≰11001220∲⫓⫏≰11101110=⫏≰0","layer":3},{"info":"⨈⫕⫏≰0=⫏≰-210","layer":2},{"info":"⫏≰2222000⊉≛↸⫏≰1222011=⫏≰12221000","layer":3},{"info":"⊄⩳↩⫏≰12221000=⫏≰-122210000","layer":2},{"info":"⫏≰-210*⫏≰-122210000=⫏≰111211100000","layer":1},{"info":"NaN-⫏≰111211100000=NaN","layer":0}]}
{"id":823,"expression_no_base_symbol":"⨑⩽⪐(≉$4885$)⨟⋌⩍($3413$⇷$3890$)⫥∨⫟(($6692$⫌⩹⨱)⋳⪒($1037$⊉≛↸$1696$))","expression":"⨑⩽⪐(≉⫏≰20200221)⨟⋌⩍(⫏≰11200102⇷⫏≰12100002)⫥∨⫟((⫏≰100011212⫌⩹⨱)⋳⪒(⫏≰1102102⊉≛↸⫏≰2022211))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":47968,"operation_count":8,"complexity_ratio":5996.0,"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":4885,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3413,"base":3},"right_expr":{"type":"numeric_atoms","value":3890,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":6692,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1037,"base":3},"right_expr":{"type":"numeric_atoms","value":1696,"base":3}}}}},"used_operators":["AF7qkfDlqP","KYD54nUTWz","rGHVDoGpnC","e1ybzncUwg","mp7IySMOzn","12rbrZMWeM","EBcxylXtPf","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4885","layer":4},{"info":"compute unary expreesion, input=4885, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5416","layer":3},{"info":"number node, value=3413","layer":4},{"info":"number node, value=3890","layer":4},{"info":"compute binary expreesion, left_input=3413, right_input=3890, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7780","layer":3},{"info":"compute binary expreesion, left_input=5416, right_input=7780, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=6692","layer":4},{"info":"compute unary expreesion, input=6692, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=14785","layer":3},{"info":"number node, value=1037","layer":4},{"info":"number node, value=1696","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=1696, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2074","layer":3},{"info":"compute binary expreesion, left_input=14785, right_input=2074, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=27209","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=27209, 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":3,"result_base":3,"text":"⨑⩽⪐(≉⫏≰20200221)⨟⋌⩍(⫏≰11200102⇷⫏≰12100002)⫥∨⫟((⫏≰100011212⫌⩹⨱)⋳⪒(⫏≰1102102⊉≛↸⫏≰2022211))=NaN","reverse_text":"NaN=⨑⩽⪐(≉⫏≰20200221)⨟⋌⩍(⫏≰11200102⇷⫏≰12100002)⫥∨⫟((⫏≰100011212⫌⩹⨱)⋳⪒(⫏≰1102102⊉≛↸⫏≰2022211))","cot":[{"info":"≉⫏≰20200221=⫏≰21102121","layer":3},{"info":"⫏≰11200102⇷⫏≰12100002=⫏≰101200011","layer":3},{"info":"⫏≰21102121⨟⋌⩍⫏≰101200011=NaN","layer":2},{"info":"⫏≰100011212⫌⩹⨱=⫏≰202021121","layer":3},{"info":"⫏≰1102102⊉≛↸⫏≰2022211=⫏≰2211211","layer":3},{"info":"⫏≰202021121⋳⪒⫏≰2211211=⫏≰1101022202","layer":2},{"info":"NaN⫥∨⫟⫏≰1101022202=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":824,"expression_no_base_symbol":"($1351$⊉≛↸$4805$)⇷($2104$⇼⇔∾$2621$)⨳⩥⨓($2564$⨎$4276$≣⋋)⨳⩥⨓(((+⊝⨔$6850$)⊘)≣⋋)","expression":"(⫏≰1212001⊉≛↸⫏≰20120222)⇷(⫏≰2212221⇼⇔∾⫏≰10121002)⨳⩥⨓(⫏≰10111222⨎⫏≰12212101≣⋋)⨳⩥⨓(((+⊝⨔⫏≰100101201)⊘)≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":38422,"operation_count":10,"complexity_ratio":3842.2,"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":1351,"base":3},"right_expr":{"type":"numeric_atoms","value":4805,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2104,"base":3},"right_expr":{"type":"numeric_atoms","value":2621,"base":3}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2564,"base":3},"right_expr":{"type":"numeric_atoms","value":4276,"base":3}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6850,"base":3}}}}},"used_operators":["nCS4ZIUYfx","mp7IySMOzn","DZ8iAZOCBD","tifHPKVTfV","Tcnh7f0tEr","rJVOvQCfKK","gu96TGCTMs","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫏≰1102022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1351","layer":4},{"info":"number node, value=4805","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=4805, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2702","layer":3},{"info":"number node, value=2104","layer":4},{"info":"number node, value=2621","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=2621, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=517","layer":3},{"info":"compute binary expreesion, left_input=2702, right_input=517, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1034","layer":2},{"info":"number node, value=2564","layer":4},{"info":"number node, value=4276","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=4276, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4276","layer":3},{"info":"compute unary expreesion, input=4276, 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=1034, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1034","layer":1},{"info":"number node, value=6850","layer":4},{"info":"compute unary expreesion, input=6850, 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 = 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1034, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1034","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1212001⊉≛↸⫏≰20120222)⇷(⫏≰2212221⇼⇔∾⫏≰10121002)⨳⩥⨓(⫏≰10111222⨎⫏≰12212101≣⋋)⨳⩥⨓(((+⊝⨔⫏≰100101201)⊘)≣⋋)=⫏≰1102022","reverse_text":"⫏≰1102022=(⫏≰1212001⊉≛↸⫏≰20120222)⇷(⫏≰2212221⇼⇔∾⫏≰10121002)⨳⩥⨓(⫏≰10111222⨎⫏≰12212101≣⋋)⨳⩥⨓(((+⊝⨔⫏≰100101201)⊘)≣⋋)","cot":[{"info":"⫏≰1212001⊉≛↸⫏≰20120222=⫏≰10201002","layer":3},{"info":"⫏≰2212221⇼⇔∾⫏≰10121002=⫏≰201011","layer":3},{"info":"⫏≰10201002⇷⫏≰201011=⫏≰1102022","layer":2},{"info":"⫏≰10111222⨎⫏≰12212101=⫏≰12212101","layer":3},{"info":"⫏≰12212101≣⋋=⫏≰0","layer":2},{"info":"⫏≰1102022⨳⩥⨓⫏≰0=⫏≰-1102022","layer":1},{"info":"+⊝⨔⫏≰100101201=⫏≰2002101","layer":3},{"info":"⫏≰2002101⊘=⫏≰0","layer":2},{"info":"⫏≰0≣⋋=⫏≰0","layer":1},{"info":"⫏≰-1102022⨳⩥⨓⫏≰0=⫏≰1102022","layer":0}]}
{"id":825,"expression_no_base_symbol":"↯⪼((≤/$4486$≎⊠⪸$1553$)+($2200$⩠)⨐⩸⫘(⋗⩬⋾$7041$))","expression":"↯⪼((≤/⫏≰20011011≎⊠⪸⫏≰2010112)+(⫏≰10000111⩠)⨐⩸⫘(⋗⩬⋾⫏≰100122210))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":325,"operation_count":7,"complexity_ratio":46.42857142857143,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4486,"base":3},"right_expr":{"type":"numeric_atoms","value":1553,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2200,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":7041,"base":3}}}}},"used_operators":["8jW3W4yZS5","W4YGzv6Whe","eLAdDNolq6","bJkvcejdHO","fu6greOZ01","sJAwomhLZr","DpFCA1CohY"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4486","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=4486, right_input=1553, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1161401","layer":3},{"info":"compute unary expreesion, input=1161401, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1160917","layer":2},{"info":"number node, value=2200","layer":4},{"info":"compute unary expreesion, input=2200, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=7041","layer":4},{"info":"compute unary expreesion, input=7041, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-21123","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-21123, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-1160917, 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":3,"result_base":3,"text":"↯⪼((≤/⫏≰20011011≎⊠⪸⫏≰2010112)+(⫏≰10000111⩠)⨐⩸⫘(⋗⩬⋾⫏≰100122210))=⫏≰-210","reverse_text":"⫏≰-210=↯⪼((≤/⫏≰20011011≎⊠⪸⫏≰2010112)+(⫏≰10000111⩠)⨐⩸⫘(⋗⩬⋾⫏≰100122210))","cot":[{"info":"⫏≰20011011≎⊠⪸⫏≰2010112=⫏≰2012000010212","layer":3},{"info":"≤/⫏≰2012000010212=⫏≰-2011222110221","layer":2},{"info":"⫏≰10000111⩠=⫏≰0","layer":3},{"info":"⋗⩬⋾⫏≰100122210=⫏≰-1001222100","layer":3},{"info":"⫏≰0⨐⩸⫘⫏≰-1001222100=NaN","layer":2},{"info":"⫏≰-2011222110221+NaN=NaN","layer":1},{"info":"↯⪼NaN=⫏≰-210","layer":0}]}
{"id":826,"expression_no_base_symbol":"⊥((($2587$/$3599$)⫌⩹⨱)⫸⊐$3863$≭$1224$⫥∨⫟($1404$↪⪝))","expression":"⊥(((⫏≰10112211/⫏≰11221022)⫌⩹⨱)⫸⊐⫏≰12022002≭⫏≰1200100⫥∨⫟(⫏≰1221000↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":886,"operation_count":7,"complexity_ratio":126.57142857142857,"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":2587,"base":3},"right_expr":{"type":"numeric_atoms","value":3599,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3863,"base":3},"right_expr":{"type":"numeric_atoms","value":1224,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1404,"base":3}}}}},"used_operators":["Q3PJZHRvZv","mqXw5SEYmG","EBcxylXtPf","XhwjNDsVaA","KYD54nUTWz","rxpJgHHUmx","l07mrZUIn9"],"dependent_operators":["fu6greOZ01","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2587","layer":4},{"info":"number node, value=3599","layer":4},{"info":"compute binary expreesion, left_input=2587, right_input=3599, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":2},{"info":"number node, value=3863","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=3863, right_input=1224, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1404","layer":4},{"info":"compute unary expreesion, input=1404, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=85899528","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=85899528, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1401, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊥(((⫏≰10112211/⫏≰11221022)⫌⩹⨱)⫸⊐⫏≰12022002≭⫏≰1200100⫥∨⫟(⫏≰1221000↪⪝))=NaN","reverse_text":"NaN=⊥(((⫏≰10112211/⫏≰11221022)⫌⩹⨱)⫸⊐⫏≰12022002≭⫏≰1200100⫥∨⫟(⫏≰1221000↪⪝))","cot":[{"info":"⫏≰10112211/⫏≰11221022=⫏≰0","layer":3},{"info":"⫏≰0⫌⩹⨱=⫏≰1220220","layer":2},{"info":"⫏≰12022002≭⫏≰1200100=NaN","layer":3},{"info":"⫏≰1221000↪⪝=⫏≰12222122011000000","layer":3},{"info":"NaN⫥∨⫟⫏≰12222122011000000=NaN","layer":2},{"info":"⫏≰1220220⫸⊐NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":827,"expression_no_base_symbol":"⊙↵-(($1853$⨓$7562$⊠≄⫣)⨳⩥⨓($2177$⨰$1105$)⊴($1923$⊭↱$5521$))","expression":"⊙↵-((⫏≰2112122⨓⫏≰101101002⊠≄⫣)⨳⩥⨓(⫏≰2222122⨰⫏≰1111221)⊴(⫏≰2122020⊭↱⫏≰21120111))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14820,"operation_count":7,"complexity_ratio":2117.1428571428573,"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":1853,"base":3},"right_expr":{"type":"numeric_atoms","value":7562,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2177,"base":3},"right_expr":{"type":"numeric_atoms","value":1105,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1923,"base":3},"right_expr":{"type":"numeric_atoms","value":5521,"base":3}}}}},"used_operators":["oWn0xqSxBt","nCS4ZIUYfx","DIvbN7qnHd","3ViojmjbAp","Nsiff2A1zJ","eewbuw0ToL","COABgblf1C"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1853","layer":4},{"info":"number node, value=7562","layer":4},{"info":"compute binary expreesion, left_input=1853, right_input=7562, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7565","layer":3},{"info":"compute unary expreesion, input=-7565, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=2177","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=1105, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1082","layer":3},{"info":"number node, value=1923","layer":4},{"info":"number node, value=5521","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=5521, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7201","layer":3},{"info":"compute binary expreesion, left_input=1082, right_input=7201, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+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":3,"result_base":3,"text":"⊙↵-((⫏≰2112122⨓⫏≰101101002⊠≄⫣)⨳⩥⨓(⫏≰2222122⨰⫏≰1111221)⊴(⫏≰2122020⊭↱⫏≰21120111))=NaN","reverse_text":"NaN=⊙↵-((⫏≰2112122⨓⫏≰101101002⊠≄⫣)⨳⩥⨓(⫏≰2222122⨰⫏≰1111221)⊴(⫏≰2122020⊭↱⫏≰21120111))","cot":[{"info":"⫏≰2112122⨓⫏≰101101002=⫏≰-101101012","layer":3},{"info":"⫏≰-101101012⊠≄⫣=⫏≰0","layer":2},{"info":"⫏≰2222122⨰⫏≰1111221=⫏≰1111002","layer":3},{"info":"⫏≰2122020⊭↱⫏≰21120111=⫏≰100212201","layer":3},{"info":"⫏≰1111002⊴⫏≰100212201=NaN","layer":2},{"info":"⫏≰0⨳⩥⨓NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":828,"expression_no_base_symbol":"(($3425$⨎$1725$)≎⊠⪸$6405$⨟⋌⩍$4588$⊭↱(($1680$-$4543$)↛⩡⫤))⩷∴(($1422$+$2022$)∼($1416$⊉≛↸$3598$)⋓(-$1814$)⨓(+⊝⨔$4032$))","expression":"((⫏≰11200212⨎⫏≰2100220)≎⊠⪸⫏≰22210020⨟⋌⩍⫏≰20021221⊭↱((⫏≰2022020-⫏≰20020021)↛⩡⫤))⩷∴((⫏≰1221200+⫏≰2202220)∼(⫏≰1221110⊉≛↸⫏≰11221021)⋓(-⫏≰2111012)⨓(+⊝⨔⫏≰12112100))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10384,"operation_count":14,"complexity_ratio":741.7142857142857,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3425,"base":3},"right_expr":{"type":"numeric_atoms","value":1725,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6405,"base":3},"right_expr":{"type":"numeric_atoms","value":4588,"base":3}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1680,"base":3},"right_expr":{"type":"numeric_atoms","value":4543,"base":3}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1422,"base":3},"right_expr":{"type":"numeric_atoms","value":2022,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1416,"base":3},"right_expr":{"type":"numeric_atoms","value":3598,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1814,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4032,"base":3}}}}},"used_operators":["9FxExcQeMw","COABgblf1C","bJkvcejdHO","rJVOvQCfKK","rGHVDoGpnC","FU0Cs4j7VP","rysDP5nf3Z","T2fj7uvVaJ","DyGG3AbaNP","W4YGzv6Whe","DZ8iAZOCBD","3ViojmjbAp","t8gj7n24qd","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫏≰-10001102100112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3425","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=3425, right_input=1725, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1725","layer":3},{"info":"number node, value=6405","layer":4},{"info":"number node, value=4588","layer":4},{"info":"compute binary expreesion, left_input=6405, right_input=4588, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1725, 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=1680","layer":4},{"info":"number node, value=4543","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=4543, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2863","layer":3},{"info":"compute unary expreesion, input=-2863, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-405498","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-405498, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-811125","layer":1},{"info":"number node, value=1422","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=1422, right_input=2022, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3444","layer":3},{"info":"number node, value=1416","layer":4},{"info":"number node, value=3598","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=3598, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2832","layer":3},{"info":"compute binary expreesion, left_input=3444, right_input=2832, 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=1814","layer":4},{"info":"compute unary expreesion, input=1814, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1814","layer":3},{"info":"number node, value=4032","layer":4},{"info":"compute unary expreesion, input=4032, 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=-1814, right_input=1522, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1525","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1525, op_id = T2fj7uvVaJ 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=-811125, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1622282","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11200212⨎⫏≰2100220)≎⊠⪸⫏≰22210020⨟⋌⩍⫏≰20021221⊭↱((⫏≰2022020-⫏≰20020021)↛⩡⫤))⩷∴((⫏≰1221200+⫏≰2202220)∼(⫏≰1221110⊉≛↸⫏≰11221021)⋓(-⫏≰2111012)⨓(+⊝⨔⫏≰12112100))=⫏≰-10001102100112","reverse_text":"⫏≰-10001102100112=((⫏≰11200212⨎⫏≰2100220)≎⊠⪸⫏≰22210020⨟⋌⩍⫏≰20021221⊭↱((⫏≰2022020-⫏≰20020021)↛⩡⫤))⩷∴((⫏≰1221200+⫏≰2202220)∼(⫏≰1221110⊉≛↸⫏≰11221021)⋓(-⫏≰2111012)⨓(+⊝⨔⫏≰12112100))","cot":[{"info":"⫏≰11200212⨎⫏≰2100220=⫏≰2100220","layer":3},{"info":"⫏≰22210020⨟⋌⩍⫏≰20021221=NaN","layer":3},{"info":"⫏≰2100220≎⊠⪸NaN=⫏≰2111","layer":2},{"info":"⫏≰2022020-⫏≰20020021=⫏≰-10221001","layer":3},{"info":"⫏≰-10221001↛⩡⫤=⫏≰-202121020110","layer":2},{"info":"⫏≰2111⊭↱⫏≰-202121020110=⫏≰-1112012122200","layer":1},{"info":"⫏≰1221200+⫏≰2202220=⫏≰11201120","layer":3},{"info":"⫏≰1221110⊉≛↸⫏≰11221021=⫏≰10212220","layer":3},{"info":"⫏≰11201120∼⫏≰10212220=NaN","layer":2},{"info":"-⫏≰2111012=⫏≰-2111012","layer":3},{"info":"+⊝⨔⫏≰12112100=⫏≰2002101","layer":3},{"info":"⫏≰-2111012⨓⫏≰2002101=⫏≰-2002111","layer":2},{"info":"NaN⋓⫏≰-2002111=⫏≰0","layer":1},{"info":"⫏≰-1112012122200⩷∴⫏≰0=⫏≰-10001102100112","layer":0}]}
{"id":829,"expression_no_base_symbol":"(($2903$⨵⪆$2503$)⊴($1670$⫡⨏$4671$)⨓($2922$*$6278$⇼⇔∾($4747$⫡⨏$8122$)))∀⇚≩((+⊝⨔($4999$≭$1007$))⋳⪒(($1068$⨵⪆$1843$)⩨$5970$⨪↰⇹$5388$))","expression":"((⫏≰10222112⨵⪆⫏≰10102201)⊴(⫏≰2021212⫡⨏⫏≰20102000)⨓(⫏≰11000020*⫏≰22121112⇼⇔∾(⫏≰20111211⫡⨏⫏≰102010211)))∀⇚≩((+⊝⨔(⫏≰20212011≭⫏≰1101022))⋳⪒((⫏≰1110120⨵⪆⫏≰2112021)⩨⫏≰22012010⨪↰⇹⫏≰21101120))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27467,"operation_count":14,"complexity_ratio":1961.9285714285713,"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":2903,"base":3},"right_expr":{"type":"numeric_atoms","value":2503,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1670,"base":3},"right_expr":{"type":"numeric_atoms","value":4671,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2922,"base":3},"right_expr":{"type":"numeric_atoms","value":6278,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4747,"base":3},"right_expr":{"type":"numeric_atoms","value":8122,"base":3}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4999,"base":3},"right_expr":{"type":"numeric_atoms","value":1007,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1068,"base":3},"right_expr":{"type":"numeric_atoms","value":1843,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5970,"base":3},"right_expr":{"type":"numeric_atoms","value":5388,"base":3}}}}},"used_operators":["LRNGc0VcxI","3ViojmjbAp","Nsiff2A1zJ","2DQ55sFlQl","QMFrweE19q","tifHPKVTfV","9HNa5Wba9A","12rbrZMWeM","DhbWaqg5eL","rxpJgHHUmx","2DlMacCsIx","tmPS8pqC7x"],"dependent_operators":["X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2903","layer":4},{"info":"number node, value=2503","layer":4},{"info":"compute binary expreesion, left_input=2903, right_input=2503, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1670","layer":4},{"info":"number node, value=4671","layer":4},{"info":"compute binary expreesion, left_input=1670, 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=18475","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=18475, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2922","layer":4},{"info":"number node, value=6278","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=6278, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18344316","layer":3},{"info":"number node, value=4747","layer":4},{"info":"number node, value=8122","layer":4},{"info":"compute binary expreesion, left_input=4747, right_input=8122, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=40762","layer":3},{"info":"compute binary expreesion, left_input=18344316, right_input=40762, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-18303554","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-18303554, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=4999","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=4999, right_input=1007, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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=1068","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1843, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5970","layer":4},{"info":"number node, value=5388","layer":4},{"info":"compute binary expreesion, left_input=5970, right_input=5388, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5970","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=5970, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-111","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-111, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2868, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":3,"result_base":3,"text":"((⫏≰10222112⨵⪆⫏≰10102201)⊴(⫏≰2021212⫡⨏⫏≰20102000)⨓(⫏≰11000020*⫏≰22121112⇼⇔∾(⫏≰20111211⫡⨏⫏≰102010211)))∀⇚≩((+⊝⨔(⫏≰20212011≭⫏≰1101022))⋳⪒((⫏≰1110120⨵⪆⫏≰2112021)⩨⫏≰22012010⨪↰⇹⫏≰21101120))=NaN","reverse_text":"NaN=((⫏≰10222112⨵⪆⫏≰10102201)⊴(⫏≰2021212⫡⨏⫏≰20102000)⨓(⫏≰11000020*⫏≰22121112⇼⇔∾(⫏≰20111211⫡⨏⫏≰102010211)))∀⇚≩((+⊝⨔(⫏≰20212011≭⫏≰1101022))⋳⪒((⫏≰1110120⨵⪆⫏≰2112021)⩨⫏≰22012010⨪↰⇹⫏≰21101120))","cot":[{"info":"⫏≰10222112⨵⪆⫏≰10102201=⫏≰12221","layer":3},{"info":"⫏≰2021212⫡⨏⫏≰20102000=⫏≰221100021","layer":3},{"info":"⫏≰12221⊴⫏≰221100021=NaN","layer":2},{"info":"⫏≰11000020*⫏≰22121112=⫏≰1021111222200010","layer":3},{"info":"⫏≰20111211⫡⨏⫏≰102010211=⫏≰2001220201","layer":3},{"info":"⫏≰1021111222200010⇼⇔∾⫏≰2001220201=⫏≰-1021102220202102","layer":2},{"info":"NaN⨓⫏≰-1021102220202102=NaN","layer":1},{"info":"⫏≰20212011≭⫏≰1101022=NaN","layer":3},{"info":"+⊝⨔NaN=⫏≰2002101","layer":2},{"info":"⫏≰1110120⨵⪆⫏≰2112021=⫏≰12221","layer":3},{"info":"⫏≰22012010⨪↰⇹⫏≰21101120=⫏≰22012010","layer":3},{"info":"⫏≰12221⩨⫏≰22012010=⫏≰-11010","layer":2},{"info":"⫏≰2002101⋳⪒⫏≰-11010=⫏≰10221020","layer":1},{"info":"NaN∀⇚≩⫏≰10221020=NaN","layer":0}]}
{"id":830,"expression_no_base_symbol":"(⫓⪴(($4437$⨵⪆$1353$)⩨(↯⪼$2216$)))+⇶⊼(+⊝⨔(⨞⊢$5192$⋓$2394$))","expression":"(⫓⪴((⫏≰20002100⨵⪆⫏≰1212010)⩨(↯⪼⫏≰10001002)))+⇶⊼(+⊝⨔(⨞⊢⫏≰21010022⋓⫏≰10021200))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":75,"operation_count":8,"complexity_ratio":9.375,"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":4437,"base":3},"right_expr":{"type":"numeric_atoms","value":1353,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2216,"base":3}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5192,"base":3},"right_expr":{"type":"numeric_atoms","value":2394,"base":3}}}}},"used_operators":["TpPTUOHfaN","eLxqMNBOBk","2DlMacCsIx","2DQ55sFlQl","8jW3W4yZS5","DhbWaqg5eL","xUOZtlo3hN","T2fj7uvVaJ"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4437","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=4437, right_input=1353, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2216","layer":4},{"info":"compute unary expreesion, input=2216, 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=160, right_input=-21, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9","layer":1},{"info":"number node, value=5192","layer":4},{"info":"number node, value=2394","layer":4},{"info":"compute binary expreesion, left_input=5192, right_input=2394, op_id = T2fj7uvVaJ 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 = 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=9, 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":0}],"base":3,"result_base":3,"text":"(⫓⪴((⫏≰20002100⨵⪆⫏≰1212010)⩨(↯⪼⫏≰10001002)))+⇶⊼(+⊝⨔(⨞⊢⫏≰21010022⋓⫏≰10021200))=NaN","reverse_text":"NaN=(⫓⪴((⫏≰20002100⨵⪆⫏≰1212010)⩨(↯⪼⫏≰10001002)))+⇶⊼(+⊝⨔(⨞⊢⫏≰21010022⋓⫏≰10021200))","cot":[{"info":"⫏≰20002100⨵⪆⫏≰1212010=⫏≰12221","layer":3},{"info":"↯⪼⫏≰10001002=⫏≰-210","layer":3},{"info":"⫏≰12221⩨⫏≰-210=⫏≰10","layer":2},{"info":"⫓⪴⫏≰10=⫏≰100","layer":1},{"info":"⫏≰21010022⋓⫏≰10021200=⫏≰0","layer":3},{"info":"⨞⊢⫏≰0=⫏≰-20110","layer":2},{"info":"+⊝⨔⫏≰-20110=⫏≰2002101","layer":1},{"info":"⫏≰100+⇶⊼⫏≰2002101=NaN","layer":0}]}
{"id":831,"expression_no_base_symbol":"(($3453$⇷$3264$*$2121$⩚⊴⇥$1457$)⨎($1682$⪒$1899$)↬($2932$⩚⊴⇥$1425$))⇷((($2234$⪠⩆⊳)∲⫓(⊥$1414$))-($1577$⪐)⪘⫢($2296$⋷$2171$))","expression":"((⫏≰11201220⇷⫏≰11110220*⫏≰2220120⩚⊴⇥⫏≰1222222)⨎(⫏≰2022022⪒⫏≰2121100)↬(⫏≰11000121⩚⊴⇥⫏≰1221210))⇷(((⫏≰10001202⪠⩆⊳)∲⫓(⊥⫏≰1221101))-(⫏≰2011102⪐)⪘⫢(⫏≰10011001⋷⫏≰2222102))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":52095,"operation_count":15,"complexity_ratio":3473.0,"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":3453,"base":3},"right_expr":{"type":"numeric_atoms","value":3264,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2121,"base":3},"right_expr":{"type":"numeric_atoms","value":1457,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1682,"base":3},"right_expr":{"type":"numeric_atoms","value":1899,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2932,"base":3},"right_expr":{"type":"numeric_atoms","value":1425,"base":3}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2234,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1414,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1577,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2296,"base":3},"right_expr":{"type":"numeric_atoms","value":2171,"base":3}}}}},"used_operators":["mp7IySMOzn","rJVOvQCfKK","9HNa5Wba9A","NTOWxs364D","B5M0gjZbta","f6k1SAg4EE","rysDP5nf3Z","i8ToyICDmI","JLbD19bQDL","Q3PJZHRvZv","oacrs7FA3X","eH2TOUuTDT","23Mk6UjR3U"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3453","layer":4},{"info":"number node, value=3264","layer":4},{"info":"compute binary expreesion, left_input=3453, right_input=3264, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6528","layer":3},{"info":"number node, value=2121","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=1457, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3699","layer":3},{"info":"compute binary expreesion, left_input=6528, right_input=-3699, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-24147072","layer":2},{"info":"number node, value=1682","layer":4},{"info":"number node, value=1899","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=1899, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3581","layer":3},{"info":"number node, value=2932","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=2932, right_input=1425, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4478","layer":3},{"info":"compute binary expreesion, left_input=-3581, right_input=-4478, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-24147072, 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=2234","layer":4},{"info":"compute unary expreesion, input=2234, 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=1414","layer":4},{"info":"compute unary expreesion, input=1414, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"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":2},{"info":"number node, value=1577","layer":4},{"info":"compute unary expreesion, input=1577, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3154","layer":3},{"info":"number node, value=2296","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=2171, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2046","layer":3},{"info":"compute binary expreesion, left_input=3154, right_input=2046, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=6184, op_id = rysDP5nf3Z 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":3,"result_base":3,"text":"((⫏≰11201220⇷⫏≰11110220*⫏≰2220120⩚⊴⇥⫏≰1222222)⨎(⫏≰2022022⪒⫏≰2121100)↬(⫏≰11000121⩚⊴⇥⫏≰1221210))⇷(((⫏≰10001202⪠⩆⊳)∲⫓(⊥⫏≰1221101))-(⫏≰2011102⪐)⪘⫢(⫏≰10011001⋷⫏≰2222102))=NaN","reverse_text":"NaN=((⫏≰11201220⇷⫏≰11110220*⫏≰2220120⩚⊴⇥⫏≰1222222)⨎(⫏≰2022022⪒⫏≰2121100)↬(⫏≰11000121⩚⊴⇥⫏≰1221210))⇷(((⫏≰10001202⪠⩆⊳)∲⫓(⊥⫏≰1221101))-(⫏≰2011102⪐)⪘⫢(⫏≰10011001⋷⫏≰2222102))","cot":[{"info":"⫏≰11201220⇷⫏≰11110220=⫏≰22221210","layer":3},{"info":"⫏≰2220120⩚⊴⇥⫏≰1222222=⫏≰-12002000","layer":3},{"info":"⫏≰22221210*⫏≰-12002000=⫏≰-1200102210120000","layer":2},{"info":"⫏≰2022022⪒⫏≰2121100=⫏≰-11220122","layer":3},{"info":"⫏≰11000121⩚⊴⇥⫏≰1221210=⫏≰-20010212","layer":3},{"info":"⫏≰-11220122↬⫏≰-20010212=NaN","layer":2},{"info":"⫏≰-1200102210120000⨎NaN=NaN","layer":1},{"info":"⫏≰10001202⪠⩆⊳=⫏≰0","layer":3},{"info":"⊥⫏≰1221101=NaN","layer":3},{"info":"⫏≰0∲⫓NaN=NaN","layer":2},{"info":"⫏≰2011102⪐=⫏≰11022211","layer":3},{"info":"⫏≰10011001⋷⫏≰2222102=⫏≰2210210","layer":3},{"info":"⫏≰11022211⪘⫢⫏≰2210210=⫏≰22111001","layer":2},{"info":"NaN-⫏≰22111001=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":832,"expression_no_base_symbol":"∂(($1167$⨸⪁$2427$)⋓($2760$⊦⊿))↬($1310$+⇶⊼$1392$)⪘⫢($3084$⊘)","expression":"∂((⫏≰1121020⨸⪁⫏≰10022220)⋓(⫏≰10210020⊦⊿))↬(⫏≰1210112+⇶⊼⫏≰1220120)⪘⫢(⫏≰11020020⊘)","highest_n_order":5,"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":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1167,"base":3},"right_expr":{"type":"numeric_atoms","value":2427,"base":3}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2760,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1310,"base":3},"right_expr":{"type":"numeric_atoms","value":1392,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3084,"base":3}}}}},"used_operators":["Uaa54Peajs","B5M0gjZbta","T2fj7uvVaJ","g55IO6H4Gj","14qkJME0vr","oacrs7FA3X","TpPTUOHfaN","gu96TGCTMs"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1167","layer":4},{"info":"number node, value=2427","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=2427, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7188","layer":3},{"info":"number node, value=2760","layer":4},{"info":"compute unary expreesion, input=2760, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8359","layer":3},{"info":"compute binary expreesion, left_input=7188, right_input=-8359, op_id = T2fj7uvVaJ 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=1310","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=1392, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3084","layer":4},{"info":"compute unary expreesion, input=3084, 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 = 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=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 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":3,"result_base":3,"text":"∂((⫏≰1121020⨸⪁⫏≰10022220)⋓(⫏≰10210020⊦⊿))↬(⫏≰1210112+⇶⊼⫏≰1220120)⪘⫢(⫏≰11020020⊘)=NaN","reverse_text":"NaN=∂((⫏≰1121020⨸⪁⫏≰10022220)⋓(⫏≰10210020⊦⊿))↬(⫏≰1210112+⇶⊼⫏≰1220120)⪘⫢(⫏≰11020020⊘)","cot":[{"info":"⫏≰1121020⨸⪁⫏≰10022220=⫏≰100212020","layer":3},{"info":"⫏≰10210020⊦⊿=⫏≰-102110121","layer":3},{"info":"⫏≰100212020⋓⫏≰-102110121=⫏≰0","layer":2},{"info":"⫏≰1210112+⇶⊼⫏≰1220120=NaN","layer":3},{"info":"⫏≰11020020⊘=⫏≰0","layer":3},{"info":"NaN⪘⫢⫏≰0=NaN","layer":2},{"info":"⫏≰0↬NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":833,"expression_no_base_symbol":"⫓⪴((($2802$⨐⩸⫘$1548$)∧)⫸⊐($2459$⩷∴$1336$*$3930$⇷$1745$))","expression":"⫓⪴(((⫏≰10211210⨐⩸⫘⫏≰2010100)∧)⫸⊐(⫏≰10101002⩷∴⫏≰1211111*⫏≰12101120⇷⫏≰2101122))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":57260,"operation_count":7,"complexity_ratio":8180.0,"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":2802,"base":3},"right_expr":{"type":"numeric_atoms","value":1548,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2459,"base":3},"right_expr":{"type":"numeric_atoms","value":1336,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3930,"base":3},"right_expr":{"type":"numeric_atoms","value":1745,"base":3}}}}},"used_operators":["eLxqMNBOBk","mqXw5SEYmG","z63VuFQld9","fu6greOZ01","9HNa5Wba9A","9FxExcQeMw","mp7IySMOzn"],"dependent_operators":["9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2802","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=2802, right_input=1548, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute 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":"number node, value=2459","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=1336, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2214","layer":3},{"info":"number node, value=3930","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=3930, right_input=1745, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3490","layer":3},{"info":"compute binary expreesion, left_input=2214, right_input=3490, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7726860","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7726860, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫓⪴(((⫏≰10211210⨐⩸⫘⫏≰2010100)∧)⫸⊐(⫏≰10101002⩷∴⫏≰1211111*⫏≰12101120⇷⫏≰2101122))=NaN","reverse_text":"NaN=⫓⪴(((⫏≰10211210⨐⩸⫘⫏≰2010100)∧)⫸⊐(⫏≰10101002⩷∴⫏≰1211111*⫏≰12101120⇷⫏≰2101122))","cot":[{"info":"⫏≰10211210⨐⩸⫘⫏≰2010100=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⫏≰10101002⩷∴⫏≰1211111=⫏≰10001000","layer":3},{"info":"⫏≰12101120⇷⫏≰2101122=⫏≰11210021","layer":3},{"info":"⫏≰10001000*⫏≰11210021=⫏≰112112120021000","layer":2},{"info":"NaN⫸⊐⫏≰112112120021000=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":834,"expression_no_base_symbol":"((↣≠⋷(⪲⇎$1217$))∧)%(($3604$≎⊠⪸$1732$⨵⪆($2042$+$2220$))⨁⊸⫻)","expression":"((↣≠⋷(⪲⇎⫏≰1200002))∧)%((⫏≰11221111≎⊠⪸⫏≰2101011⨵⪆(⫏≰2210122+⫏≰10001020))⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":287,"operation_count":8,"complexity_ratio":35.875,"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":1217,"base":3}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3604,"base":3},"right_expr":{"type":"numeric_atoms","value":1732,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2042,"base":3},"right_expr":{"type":"numeric_atoms","value":2220,"base":3}}}}},"used_operators":["k8jYdgA6NY","z63VuFQld9","Asc51vEJeQ","XPYlsWDdGa","glklzrTFfD","2DQ55sFlQl","bJkvcejdHO","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2434","layer":3},{"info":"compute unary expreesion, input=2434, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"number node, value=3604","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=3604, right_input=1732, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=932963","layer":3},{"info":"number node, value=2042","layer":4},{"info":"number node, value=2220","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=2220, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4262","layer":3},{"info":"compute binary expreesion, left_input=932963, right_input=4262, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↣≠⋷(⪲⇎⫏≰1200002))∧)%((⫏≰11221111≎⊠⪸⫏≰2101011⨵⪆(⫏≰2210122+⫏≰10001020))⨁⊸⫻)=NaN","reverse_text":"NaN=((↣≠⋷(⪲⇎⫏≰1200002))∧)%((⫏≰11221111≎⊠⪸⫏≰2101011⨵⪆(⫏≰2210122+⫏≰10001020))⨁⊸⫻)","cot":[{"info":"⪲⇎⫏≰1200002=⫏≰10100011","layer":3},{"info":"↣≠⋷⫏≰10100011=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⫏≰11221111≎⊠⪸⫏≰2101011=⫏≰1202101210012","layer":3},{"info":"⫏≰2210122+⫏≰10001020=⫏≰12211212","layer":3},{"info":"⫏≰1202101210012⨵⪆⫏≰12211212=⫏≰12221","layer":2},{"info":"⫏≰12221⨁⊸⫻=⫏≰12221","layer":1},{"info":"NaN%⫏≰12221=NaN","layer":0}]}
{"id":835,"expression_no_base_symbol":"∂((⪲⇎($2042$/$1682$))⨎(($2967$⫸⊐$1490$)⨎($1334$⪨≂$2578$)))","expression":"∂((⪲⇎(⫏≰2210122/⫏≰2022022))⨎((⫏≰11001220⫸⊐⫏≰2001012)⨎(⫏≰1211102⪨≂⫏≰10112111)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":451,"operation_count":7,"complexity_ratio":64.42857142857143,"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":2042,"base":3},"right_expr":{"type":"numeric_atoms","value":1682,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2967,"base":3},"right_expr":{"type":"numeric_atoms","value":1490,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1334,"base":3},"right_expr":{"type":"numeric_atoms","value":2578,"base":3}}}}},"used_operators":["Uaa54Peajs","rJVOvQCfKK","XPYlsWDdGa","XhwjNDsVaA","mqXw5SEYmG","sdazOOVcIp"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰2220121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2042","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=1682, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2","layer":2},{"info":"number node, value=2967","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=2967, right_input=1490, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5835","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=2578","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=2578, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2386","layer":3},{"info":"compute binary expreesion, left_input=5835, right_input=-2386, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2386","layer":2},{"info":"compute binary expreesion, left_input=2, right_input=-2386, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2386","layer":1},{"info":"compute unary expreesion, input=-2386, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=2122","layer":0}],"base":3,"result_base":3,"text":"∂((⪲⇎(⫏≰2210122/⫏≰2022022))⨎((⫏≰11001220⫸⊐⫏≰2001012)⨎(⫏≰1211102⪨≂⫏≰10112111)))=⫏≰2220121","reverse_text":"⫏≰2220121=∂((⪲⇎(⫏≰2210122/⫏≰2022022))⨎((⫏≰11001220⫸⊐⫏≰2001012)⨎(⫏≰1211102⪨≂⫏≰10112111)))","cot":[{"info":"⫏≰2210122/⫏≰2022022=⫏≰1","layer":3},{"info":"⪲⇎⫏≰1=⫏≰2","layer":2},{"info":"⫏≰11001220⫸⊐⫏≰2001012=⫏≰22000010","layer":3},{"info":"⫏≰1211102⪨≂⫏≰10112111=⫏≰-10021101","layer":3},{"info":"⫏≰22000010⨎⫏≰-10021101=⫏≰-10021101","layer":2},{"info":"⫏≰2⨎⫏≰-10021101=⫏≰-10021101","layer":1},{"info":"∂⫏≰-10021101=⫏≰2220121","layer":0}]}
{"id":836,"expression_no_base_symbol":"(($1549$⋝⋈⪟$1038$⪒($4014$⇋≉))⨎($3364$≹⇙⪍$2554$⪠⩆⊳))≭((⪲⇎$2136$)↬$1314$⇷$2322$⨳⩥⨓(($1016$∑⇟⊟$4171$)∧))","expression":"((⫏≰2010101⋝⋈⪟⫏≰1102110⪒(⫏≰12111200⇋≉))⨎(⫏≰11121121≹⇙⪍⫏≰10111121⪠⩆⊳))≭((⪲⇎⫏≰2221010)↬⫏≰1210200⇷⫏≰10012000⨳⩥⨓((⫏≰1101122∑⇟⊟⫏≰12201111)∧))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18435,"operation_count":13,"complexity_ratio":1418.076923076923,"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":1549,"base":3},"right_expr":{"type":"numeric_atoms","value":1038,"base":3}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4014,"base":3}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3364,"base":3},"right_expr":{"type":"numeric_atoms","value":2554,"base":3}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2136,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1314,"base":3},"right_expr":{"type":"numeric_atoms","value":2322,"base":3}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1016,"base":3},"right_expr":{"type":"numeric_atoms","value":4171,"base":3}}}}},"used_operators":["rxpJgHHUmx","rJVOvQCfKK","f6k1SAg4EE","2DDjHMKMc0","XIabStNQrY","JLbD19bQDL","AHs5Up7iyr","nCS4ZIUYfx","B5M0gjZbta","XPYlsWDdGa","mp7IySMOzn","z63VuFQld9","U7g4x0WXJJ"],"dependent_operators":["AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1549","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=1549, right_input=1038, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1549","layer":3},{"info":"number node, value=4014","layer":4},{"info":"compute unary expreesion, input=4014, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7930","layer":3},{"info":"compute binary expreesion, left_input=1549, right_input=7930, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9479","layer":2},{"info":"number node, value=3364","layer":4},{"info":"number node, value=2554","layer":4},{"info":"compute binary expreesion, left_input=3364, right_input=2554, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9479, 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=2136","layer":4},{"info":"compute unary expreesion, input=2136, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4272","layer":3},{"info":"number node, value=1314","layer":4},{"info":"number node, value=2322","layer":4},{"info":"compute binary expreesion, left_input=1314, right_input=2322, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4644","layer":3},{"info":"compute binary expreesion, left_input=4272, right_input=4644, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1016","layer":4},{"info":"number node, value=4171","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=4171, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"((⫏≰2010101⋝⋈⪟⫏≰1102110⪒(⫏≰12111200⇋≉))⨎(⫏≰11121121≹⇙⪍⫏≰10111121⪠⩆⊳))≭((⪲⇎⫏≰2221010)↬⫏≰1210200⇷⫏≰10012000⨳⩥⨓((⫏≰1101122∑⇟⊟⫏≰12201111)∧))=NaN","reverse_text":"NaN=((⫏≰2010101⋝⋈⪟⫏≰1102110⪒(⫏≰12111200⇋≉))⨎(⫏≰11121121≹⇙⪍⫏≰10111121⪠⩆⊳))≭((⪲⇎⫏≰2221010)↬⫏≰1210200⇷⫏≰10012000⨳⩥⨓((⫏≰1101122∑⇟⊟⫏≰12201111)∧))","cot":[{"info":"⫏≰2010101⋝⋈⪟⫏≰1102110=⫏≰2010101","layer":3},{"info":"⫏≰12111200⇋≉=⫏≰101212201","layer":3},{"info":"⫏≰2010101⪒⫏≰101212201=⫏≰-111000002","layer":2},{"info":"⫏≰11121121≹⇙⪍⫏≰10111121=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"⫏≰-111000002⨎NaN=NaN","layer":1},{"info":"⪲⇎⫏≰2221010=⫏≰12212020","layer":3},{"info":"⫏≰1210200⇷⫏≰10012000=⫏≰20101000","layer":3},{"info":"⫏≰12212020↬⫏≰20101000=NaN","layer":2},{"info":"⫏≰1101122∑⇟⊟⫏≰12201111=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":837,"expression_no_base_symbol":"($1399$⪢$2285$⊪)⨓($1641$⊴$1699$⋳⪒(≉$7523$))⨵⪆(⨈⫕($1120$⨐⩸⫘$3523$)≹⇙⪍($1135$⩨$3674$))","expression":"(⫏≰1220211⪢⫏≰10010122⊪)⨓(⫏≰2020210⊴⫏≰2022221⋳⪒(≉⫏≰101022122))⨵⪆(⨈⫕(⫏≰1112111⨐⩸⫘⫏≰11211111)≹⇙⪍(⫏≰1120001⩨⫏≰12001002))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4494,"operation_count":11,"complexity_ratio":408.54545454545456,"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":1399,"base":3},"right_expr":{"type":"numeric_atoms","value":2285,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1641,"base":3},"right_expr":{"type":"numeric_atoms","value":1699,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7523,"base":3}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1120,"base":3},"right_expr":{"type":"numeric_atoms","value":3523,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1135,"base":3},"right_expr":{"type":"numeric_atoms","value":3674,"base":3}}}}},"used_operators":["2DQ55sFlQl","3ViojmjbAp","zVYPLywUTj","dWAJyo7jo9","12rbrZMWeM","Nsiff2A1zJ","e1ybzncUwg","megm06wKyl","AHs5Up7iyr","fu6greOZ01","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1399","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=2285, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=1641","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=1699, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7523","layer":4},{"info":"compute unary expreesion, input=7523, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=8054","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8054, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1120","layer":4},{"info":"number node, value=3523","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=3523, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1135","layer":4},{"info":"number node, value=3674","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=3674, 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=nan, right_input=-9, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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":3,"result_base":3,"text":"(⫏≰1220211⪢⫏≰10010122⊪)⨓(⫏≰2020210⊴⫏≰2022221⋳⪒(≉⫏≰101022122))⨵⪆(⨈⫕(⫏≰1112111⨐⩸⫘⫏≰11211111)≹⇙⪍(⫏≰1120001⩨⫏≰12001002))=⫏≰12221","reverse_text":"⫏≰12221=(⫏≰1220211⪢⫏≰10010122⊪)⨓(⫏≰2020210⊴⫏≰2022221⋳⪒(≉⫏≰101022122))⨵⪆(⨈⫕(⫏≰1112111⨐⩸⫘⫏≰11211111)≹⇙⪍(⫏≰1120001⩨⫏≰12001002))","cot":[{"info":"⫏≰1220211⪢⫏≰10010122=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"⫏≰2020210⊴⫏≰2022221=NaN","layer":3},{"info":"≉⫏≰101022122=⫏≰102001022","layer":3},{"info":"NaN⋳⪒⫏≰102001022=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⫏≰1112111⨐⩸⫘⫏≰11211111=NaN","layer":3},{"info":"⫏≰1120001⩨⫏≰12001002=⫏≰-100","layer":3},{"info":"NaN≹⇙⪍⫏≰-100=NaN","layer":2},{"info":"⨈⫕NaN=⫏≰-210","layer":1},{"info":"NaN⨵⪆⫏≰-210=⫏≰12221","layer":0}]}
{"id":838,"expression_no_base_symbol":"($4269$⨸⪁$1860$⪨≂($2286$⨁⊸⫻))∀⇚≩(⪲⇎$1204$⫥∨⫟$2855$)+⇶⊼($2058$⨎$5376$⫡⨏$4514$∲⫓$5220$)∼((↩$5082$)≭(⨵≀≌$7684$))","expression":"(⫏≰12212010⨸⪁⫏≰2112220⪨≂(⫏≰10010200⨁⊸⫻))∀⇚≩(⪲⇎⫏≰1122121⫥∨⫟⫏≰10220202)+⇶⊼(⫏≰2211020⨎⫏≰21101010⫡⨏⫏≰20012012∲⫓⫏≰21011100)∼((↩⫏≰20222020)≭(⨵≀≌⫏≰101112121))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":141062,"operation_count":14,"complexity_ratio":10075.857142857143,"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":4269,"base":3},"right_expr":{"type":"numeric_atoms","value":1860,"base":3}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2286,"base":3}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1204,"base":3},"right_expr":{"type":"numeric_atoms","value":2855,"base":3}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2058,"base":3},"right_expr":{"type":"numeric_atoms","value":5376,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4514,"base":3},"right_expr":{"type":"numeric_atoms","value":5220,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5082,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7684,"base":3}}}}},"used_operators":["TpPTUOHfaN","LRNGc0VcxI","sdazOOVcIp","g55IO6H4Gj","glklzrTFfD","XPYlsWDdGa","KYD54nUTWz","DyGG3AbaNP","QMFrweE19q","rJVOvQCfKK","i8ToyICDmI","rxpJgHHUmx","jLgFTUHLKL","srAu1WTS94"],"dependent_operators":["AHs5Up7iyr","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4269","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=4269, right_input=1860, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12258","layer":3},{"info":"number node, value=2286","layer":4},{"info":"compute unary expreesion, input=2286, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2286","layer":3},{"info":"compute binary expreesion, left_input=12258, right_input=2286, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=20046","layer":2},{"info":"number node, value=1204","layer":4},{"info":"number node, value=2855","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=2855, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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=20046, 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=2058","layer":4},{"info":"number node, value=5376","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=5376, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5376","layer":3},{"info":"number node, value=4514","layer":4},{"info":"number node, value=5220","layer":4},{"info":"compute binary expreesion, left_input=4514, right_input=5220, 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=5376, 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=27663","layer":2},{"info":"number node, value=5082","layer":4},{"info":"compute unary expreesion, input=5082, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-37876","layer":3},{"info":"number node, value=7684","layer":4},{"info":"compute unary expreesion, input=7684, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-23052","layer":3},{"info":"compute binary expreesion, left_input=-37876, right_input=-23052, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=27663, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":3,"result_base":3,"text":"(⫏≰12212010⨸⪁⫏≰2112220⪨≂(⫏≰10010200⨁⊸⫻))∀⇚≩(⪲⇎⫏≰1122121⫥∨⫟⫏≰10220202)+⇶⊼(⫏≰2211020⨎⫏≰21101010⫡⨏⫏≰20012012∲⫓⫏≰21011100)∼((↩⫏≰20222020)≭(⨵≀≌⫏≰101112121))=NaN","reverse_text":"NaN=(⫏≰12212010⨸⪁⫏≰2112220⪨≂(⫏≰10010200⨁⊸⫻))∀⇚≩(⪲⇎⫏≰1122121⫥∨⫟⫏≰10220202)+⇶⊼(⫏≰2211020⨎⫏≰21101010⫡⨏⫏≰20012012∲⫓⫏≰21011100)∼((↩⫏≰20222020)≭(⨵≀≌⫏≰101112121))","cot":[{"info":"⫏≰12212010⨸⪁⫏≰2112220=⫏≰121211000","layer":3},{"info":"⫏≰10010200⨁⊸⫻=⫏≰10010200","layer":3},{"info":"⫏≰121211000⪨≂⫏≰10010200=⫏≰1000111110","layer":2},{"info":"⫏≰1122121⫥∨⫟⫏≰10220202=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⫏≰1000111110∀⇚≩NaN=NaN","layer":1},{"info":"⫏≰2211020⨎⫏≰21101010=⫏≰21101010","layer":3},{"info":"⫏≰20012012∲⫓⫏≰21011100=⫏≰0","layer":3},{"info":"⫏≰21101010⫡⨏⫏≰0=⫏≰1101221120","layer":2},{"info":"↩⫏≰20222020=⫏≰-1220221211","layer":3},{"info":"⨵≀≌⫏≰101112121=⫏≰-1011121210","layer":3},{"info":"⫏≰-1220221211≭⫏≰-1011121210=NaN","layer":2},{"info":"⫏≰1101221120∼NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":839,"expression_no_base_symbol":"($1234$⩤)⋓(+⊝⨔$1370$)⩷∴($4398$⋝⋈⪟$2163$⨵⪆$4407$*$1203$)+($1248$⊴$1311$+$1049$-$1032$)⨟⋌⩍(⇁⨣⪵$1296$⨟⋌⩍$2214$)","expression":"(⫏≰1200201⩤)⋓(+⊝⨔⫏≰1212202)⩷∴(⫏≰20000220⋝⋈⪟⫏≰2222010⨵⪆⫏≰20001020*⫏≰1122120)+(⫏≰1201020⊴⫏≰1210120+⫏≰1102212-⫏≰1102020)⨟⋌⩍(⇁⨣⪵⫏≰1210000⨟⋌⩍⫏≰10001000)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2590,"operation_count":14,"complexity_ratio":185.0,"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":1234,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1370,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4398,"base":3},"right_expr":{"type":"numeric_atoms","value":2163,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4407,"base":3},"right_expr":{"type":"numeric_atoms","value":1203,"base":3}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1248,"base":3},"right_expr":{"type":"numeric_atoms","value":1311,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1049,"base":3},"right_expr":{"type":"numeric_atoms","value":1032,"base":3}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1296,"base":3},"right_expr":{"type":"numeric_atoms","value":2214,"base":3}}}}},"used_operators":["W4YGzv6Whe","9FxExcQeMw","T2fj7uvVaJ","Z2TMIBDE3Q","DhbWaqg5eL","2DQ55sFlQl","2DDjHMKMc0","9HNa5Wba9A","rGHVDoGpnC","Nsiff2A1zJ","rysDP5nf3Z","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Tcnh7f0tEr","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1234","layer":4},{"info":"compute unary expreesion, input=1234, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1234","layer":3},{"info":"number node, value=1370","layer":4},{"info":"compute unary expreesion, input=1370, 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=-1234, 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":2},{"info":"number node, value=4398","layer":4},{"info":"number node, value=2163","layer":4},{"info":"compute binary expreesion, left_input=4398, right_input=2163, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4398","layer":3},{"info":"number node, value=4407","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=4407, right_input=1203, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5301621","layer":3},{"info":"compute binary expreesion, left_input=4398, right_input=5301621, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-352","layer":1},{"info":"number node, value=1248","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=1311, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1032, op_id = rysDP5nf3Z binary_op_definition= 'None', output=17","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1296","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=2214, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = inkyxCbjAn, 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":"compute binary expreesion, left_input=-352, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1200201⩤)⋓(+⊝⨔⫏≰1212202)⩷∴(⫏≰20000220⋝⋈⪟⫏≰2222010⨵⪆⫏≰20001020*⫏≰1122120)+(⫏≰1201020⊴⫏≰1210120+⫏≰1102212-⫏≰1102020)⨟⋌⩍(⇁⨣⪵⫏≰1210000⨟⋌⩍⫏≰10001000)=NaN","reverse_text":"NaN=(⫏≰1200201⩤)⋓(+⊝⨔⫏≰1212202)⩷∴(⫏≰20000220⋝⋈⪟⫏≰2222010⨵⪆⫏≰20001020*⫏≰1122120)+(⫏≰1201020⊴⫏≰1210120+⫏≰1102212-⫏≰1102020)⨟⋌⩍(⇁⨣⪵⫏≰1210000⨟⋌⩍⫏≰10001000)","cot":[{"info":"⫏≰1200201⩤=⫏≰-1200201","layer":3},{"info":"+⊝⨔⫏≰1212202=⫏≰2002101","layer":3},{"info":"⫏≰-1200201⋓⫏≰2002101=⫏≰0","layer":2},{"info":"⫏≰20000220⋝⋈⪟⫏≰2222010=⫏≰20000220","layer":3},{"info":"⫏≰20001020*⫏≰1122120=⫏≰100222100110100","layer":3},{"info":"⫏≰20000220⨵⪆⫏≰100222100110100=⫏≰12221","layer":2},{"info":"⫏≰0⩷∴⫏≰12221=⫏≰-111001","layer":1},{"info":"⫏≰1201020⊴⫏≰1210120=NaN","layer":3},{"info":"⫏≰1102212-⫏≰1102020=⫏≰122","layer":3},{"info":"NaN+⫏≰122=NaN","layer":2},{"info":"⫏≰1210000⨟⋌⩍⫏≰10001000=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⫏≰-111001+NaN=NaN","layer":0}]}
{"id":840,"expression_no_base_symbol":"($1233$≧⫂∧$1339$↺$1095$⨓$6048$)⇷($4563$⨪↰⇹$7622$⫸⊐$2435$⨳⩥⨓$3035$)⊪","expression":"(⫏≰1200200≧⫂∧⫏≰1211121↺⫏≰1111120⨓⫏≰22022000)⇷(⫏≰20021000⨪↰⇹⫏≰101110022⫸⊐⫏≰10100012⨳⩥⨓⫏≰11011102)⊪","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":95400,"operation_count":8,"complexity_ratio":11925.0,"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":1233,"base":3},"right_expr":{"type":"numeric_atoms","value":1339,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1095,"base":3},"right_expr":{"type":"numeric_atoms","value":6048,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4563,"base":3},"right_expr":{"type":"numeric_atoms","value":7622,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2435,"base":3},"right_expr":{"type":"numeric_atoms","value":3035,"base":3}}}}},"used_operators":["zVYPLywUTj","mp7IySMOzn","7j4O788W3g","Ph9nP6C5qx","3ViojmjbAp","mqXw5SEYmG","tmPS8pqC7x","nCS4ZIUYfx"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1233","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=1339, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=866","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=6048","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=6048, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6051","layer":3},{"info":"compute binary expreesion, left_input=866, right_input=-6051, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-6051","layer":2},{"info":"number node, value=4563","layer":4},{"info":"number node, value=7622","layer":4},{"info":"compute binary expreesion, left_input=4563, right_input=7622, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4563","layer":3},{"info":"number node, value=2435","layer":4},{"info":"number node, value=3035","layer":4},{"info":"compute binary expreesion, left_input=2435, right_input=3035, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=600","layer":3},{"info":"compute binary expreesion, left_input=4563, right_input=600, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=2275","layer":2},{"info":"compute binary expreesion, left_input=-6051, right_input=2275, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4550","layer":1},{"info":"compute unary expreesion, input=4550, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1200200≧⫂∧⫏≰1211121↺⫏≰1111120⨓⫏≰22022000)⇷(⫏≰20021000⨪↰⇹⫏≰101110022⫸⊐⫏≰10100012⨳⩥⨓⫏≰11011102)⊪=⫏≰0","reverse_text":"⫏≰0=(⫏≰1200200≧⫂∧⫏≰1211121↺⫏≰1111120⨓⫏≰22022000)⇷(⫏≰20021000⨪↰⇹⫏≰101110022⫸⊐⫏≰10100012⨳⩥⨓⫏≰11011102)⊪","cot":[{"info":"⫏≰1200200≧⫂∧⫏≰1211121=⫏≰1012002","layer":3},{"info":"⫏≰1111120⨓⫏≰22022000=⫏≰-22022010","layer":3},{"info":"⫏≰1012002↺⫏≰-22022010=⫏≰-22022010","layer":2},{"info":"⫏≰20021000⨪↰⇹⫏≰101110022=⫏≰20021000","layer":3},{"info":"⫏≰10100012⨳⩥⨓⫏≰11011102=⫏≰211020","layer":3},{"info":"⫏≰20021000⫸⊐⫏≰211020=⫏≰10010021","layer":2},{"info":"⫏≰-22022010⇷⫏≰10010021=⫏≰20020112","layer":1},{"info":"⫏≰20020112⊪=⫏≰0","layer":0}]}
{"id":841,"expression_no_base_symbol":"($2545$⪛$1976$⋝⋈⪟$2457$⪢$1400$*(+⊝⨔($6873$+⇶⊼$3434$)))⨰(($1960$⇷$3728$⊭∹↮)⪨≂(⨞⊢$1631$↬$1072$))","expression":"(⫏≰10111021⪛⫏≰2201012⋝⋈⪟⫏≰10101000⪢⫏≰1220212*(+⊝⨔(⫏≰100102120+⇶⊼⫏≰11201012)))⨰((⫏≰2200121⇷⫏≰12010002⊭∹↮)⪨≂(⨞⊢⫏≰2020102↬⫏≰1110201))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":29343,"operation_count":12,"complexity_ratio":2445.25,"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":2545,"base":3},"right_expr":{"type":"numeric_atoms","value":1976,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2457,"base":3},"right_expr":{"type":"numeric_atoms","value":1400,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6873,"base":3},"right_expr":{"type":"numeric_atoms","value":3434,"base":3}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1960,"base":3},"right_expr":{"type":"numeric_atoms","value":3728,"base":3}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1631,"base":3},"right_expr":{"type":"numeric_atoms","value":1072,"base":3}}}}},"used_operators":["eewbuw0ToL","9HNa5Wba9A","2DDjHMKMc0","uFcxV4UQCh","dWAJyo7jo9","DhbWaqg5eL","TpPTUOHfaN","sdazOOVcIp","xNBdhnnwKq","mp7IySMOzn","xUOZtlo3hN","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2545","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=2545, right_input=1976, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=569","layer":3},{"info":"number node, value=2457","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=2457, right_input=1400, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=569, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=6873","layer":4},{"info":"number node, value=3434","layer":4},{"info":"compute binary expreesion, left_input=6873, right_input=3434, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1960","layer":4},{"info":"number node, value=3728","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=3728, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7456","layer":3},{"info":"compute unary expreesion, input=7456, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=14912","layer":2},{"info":"number node, value=1631","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=1072, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14912, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10111021⪛⫏≰2201012⋝⋈⪟⫏≰10101000⪢⫏≰1220212*(+⊝⨔(⫏≰100102120+⇶⊼⫏≰11201012)))⨰((⫏≰2200121⇷⫏≰12010002⊭∹↮)⪨≂(⨞⊢⫏≰2020102↬⫏≰1110201))=NaN","reverse_text":"NaN=(⫏≰10111021⪛⫏≰2201012⋝⋈⪟⫏≰10101000⪢⫏≰1220212*(+⊝⨔(⫏≰100102120+⇶⊼⫏≰11201012)))⨰((⫏≰2200121⇷⫏≰12010002⊭∹↮)⪨≂(⨞⊢⫏≰2020102↬⫏≰1110201))","cot":[{"info":"⫏≰10111021⪛⫏≰2201012=⫏≰210002","layer":3},{"info":"⫏≰10101000⪢⫏≰1220212=NaN","layer":3},{"info":"⫏≰210002⋝⋈⪟NaN=NaN","layer":2},{"info":"⫏≰100102120+⇶⊼⫏≰11201012=NaN","layer":3},{"info":"+⊝⨔NaN=⫏≰2002101","layer":2},{"info":"NaN*⫏≰2002101=NaN","layer":1},{"info":"⫏≰2200121⇷⫏≰12010002=⫏≰101020011","layer":3},{"info":"⫏≰101020011⊭∹↮=⫏≰202110022","layer":2},{"info":"⫏≰2020102↬⫏≰1110201=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⫏≰202110022⪨≂NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":842,"expression_no_base_symbol":"↩(($1624$≧⫂∧$3578$⩤)⩤)","expression":"↩((⫏≰2020011≧⫂∧⫏≰11220112⩤)⩤)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":4,"complexity_ratio":4.75,"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":1624,"base":3},"right_expr":{"type":"numeric_atoms","value":3578,"base":3}}}}},"used_operators":["jLgFTUHLKL","Z2TMIBDE3Q","Ph9nP6C5qx"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-1010021001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1624","layer":4},{"info":"number node, value=3578","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=3578, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3105","layer":3},{"info":"compute unary expreesion, input=3105, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3105","layer":2},{"info":"compute unary expreesion, input=-3105, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=3105","layer":1},{"info":"compute unary expreesion, input=3105, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-22060","layer":0}],"base":3,"result_base":3,"text":"↩((⫏≰2020011≧⫂∧⫏≰11220112⩤)⩤)=⫏≰-1010021001","reverse_text":"⫏≰-1010021001=↩((⫏≰2020011≧⫂∧⫏≰11220112⩤)⩤)","cot":[{"info":"⫏≰2020011≧⫂∧⫏≰11220112=⫏≰11021000","layer":3},{"info":"⫏≰11021000⩤=⫏≰-11021000","layer":2},{"info":"⫏≰-11021000⩤=⫏≰11021000","layer":1},{"info":"↩⫏≰11021000=⫏≰-1010021001","layer":0}]}
{"id":843,"expression_no_base_symbol":"((⨑⩽⪐$1960$↬$7697$)⨟⋌⩍(($2999$⫡⨏$4796$)⨽($3184$⋷$1329$)))∧","expression":"((⨑⩽⪐⫏≰2200121↬⫏≰101120002)⨟⋌⩍((⫏≰11010002⫡⨏⫏≰20120122)⨽(⫏≰11100221⋷⫏≰1211020)))∧","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":25406,"operation_count":7,"complexity_ratio":3629.4285714285716,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1960,"base":3},"right_expr":{"type":"numeric_atoms","value":7697,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2999,"base":3},"right_expr":{"type":"numeric_atoms","value":4796,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3184,"base":3},"right_expr":{"type":"numeric_atoms","value":1329,"base":3}}}}},"used_operators":["z63VuFQld9","rGHVDoGpnC","AF7qkfDlqP","B5M0gjZbta","8HhzD0ZcuI","QMFrweE19q","23Mk6UjR3U"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1960","layer":4},{"info":"number node, value=7697","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=7697, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2999","layer":4},{"info":"number node, value=4796","layer":4},{"info":"compute binary expreesion, left_input=2999, right_input=4796, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=25370","layer":3},{"info":"number node, value=3184","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=3184, right_input=1329, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=25370, right_input=-526, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1930907808","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1930907808, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨑⩽⪐⫏≰2200121↬⫏≰101120002)⨟⋌⩍((⫏≰11010002⫡⨏⫏≰20120122)⨽(⫏≰11100221⋷⫏≰1211020)))∧=NaN","reverse_text":"NaN=((⨑⩽⪐⫏≰2200121↬⫏≰101120002)⨟⋌⩍((⫏≰11010002⫡⨏⫏≰20120122)⨽(⫏≰11100221⋷⫏≰1211020)))∧","cot":[{"info":"⫏≰2200121↬⫏≰101120002=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⫏≰11010002⫡⨏⫏≰20120122=⫏≰1021210122","layer":3},{"info":"⫏≰11100221⋷⫏≰1211020=⫏≰-201111","layer":3},{"info":"⫏≰1021210122⨽⫏≰-201111=⫏≰-11222120100021120000","layer":2},{"info":"NaN⨟⋌⩍⫏≰-11222120100021120000=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":844,"expression_no_base_symbol":"(+⊝⨔(($1465$↙$4302$)⊦⊿))≫≃","expression":"(+⊝⨔((⫏≰2000021↙⫏≰12220100)⊦⊿))≫≃","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4358,"operation_count":4,"complexity_ratio":1089.5,"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":1465,"base":3},"right_expr":{"type":"numeric_atoms","value":4302,"base":3}}}}},"used_operators":["X99M06cbEe","DhbWaqg5eL","14qkJME0vr","yyfyN0ffXY"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫏≰20002122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1465","layer":4},{"info":"number node, value=4302","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=4302, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12906","layer":3},{"info":"compute unary expreesion, input=-12906, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=38639","layer":2},{"info":"compute unary expreesion, input=38639, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4445","layer":0}],"base":3,"result_base":3,"text":"(+⊝⨔((⫏≰2000021↙⫏≰12220100)⊦⊿))≫≃=⫏≰20002122","reverse_text":"⫏≰20002122=(+⊝⨔((⫏≰2000021↙⫏≰12220100)⊦⊿))≫≃","cot":[{"info":"⫏≰2000021↙⫏≰12220100=⫏≰-122201000","layer":3},{"info":"⫏≰-122201000⊦⊿=⫏≰1222000002","layer":2},{"info":"+⊝⨔⫏≰1222000002=⫏≰2002101","layer":1},{"info":"⫏≰2002101≫≃=⫏≰20002122","layer":0}]}
{"id":845,"expression_no_base_symbol":"($4639$⊭↱$6452$⩨$4565$⋥≓≎$1695$)⪘⫢(∂($3901$⨵⪆$3217$))∲⫓($4522$≧⫂∧$4134$⪒(⇁⨣⪵$5587$))⋝⋈⪟(($1110$⋷$2623$)⨳⩥⨓($3152$≦≮≮))","expression":"(⫏≰20100211⊭↱⫏≰22211222⩨⫏≰20021002⋥≓≎⫏≰2022210)⪘⫢(∂(⫏≰12100111⨵⪆⫏≰11102011))∲⫓(⫏≰20012111≧⫂∧⫏≰12200010⪒(⇁⨣⪵⫏≰21122221))⋝⋈⪟((⫏≰1112010⋷⫏≰10121011)⨳⩥⨓(⫏≰11022202≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":462,"operation_count":14,"complexity_ratio":33.0,"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":4639,"base":3},"right_expr":{"type":"numeric_atoms","value":6452,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4565,"base":3},"right_expr":{"type":"numeric_atoms","value":1695,"base":3}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3901,"base":3},"right_expr":{"type":"numeric_atoms","value":3217,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4522,"base":3},"right_expr":{"type":"numeric_atoms","value":4134,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5587,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1110,"base":3},"right_expr":{"type":"numeric_atoms","value":2623,"base":3}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3152,"base":3}}}}},"used_operators":["i8ToyICDmI","oacrs7FA3X","2DlMacCsIx","COABgblf1C","Qy55tPpLXF","Uaa54Peajs","2DQ55sFlQl","2DDjHMKMc0","f6k1SAg4EE","Ph9nP6C5qx","inkyxCbjAn","nCS4ZIUYfx","23Mk6UjR3U","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4639","layer":4},{"info":"number node, value=6452","layer":4},{"info":"compute binary expreesion, left_input=4639, right_input=6452, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3631","layer":3},{"info":"number node, value=4565","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=4565, right_input=1695, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1142","layer":3},{"info":"compute binary expreesion, left_input=3631, right_input=-1142, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=3901","layer":4},{"info":"number node, value=3217","layer":4},{"info":"compute binary expreesion, left_input=3901, right_input=3217, 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-424","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=-424, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-4","layer":1},{"info":"number node, value=4522","layer":4},{"info":"number node, value=4134","layer":4},{"info":"compute binary expreesion, left_input=4522, right_input=4134, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3661","layer":3},{"info":"number node, value=5587","layer":4},{"info":"compute unary expreesion, input=5587, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3661, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1110","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=2623, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4136","layer":3},{"info":"number node, value=3152","layer":4},{"info":"compute unary expreesion, input=3152, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9456","layer":3},{"info":"compute binary expreesion, left_input=4136, right_input=-9456, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-13592","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13592, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20100211⊭↱⫏≰22211222⩨⫏≰20021002⋥≓≎⫏≰2022210)⪘⫢(∂(⫏≰12100111⨵⪆⫏≰11102011))∲⫓(⫏≰20012111≧⫂∧⫏≰12200010⪒(⇁⨣⪵⫏≰21122221))⋝⋈⪟((⫏≰1112010⋷⫏≰10121011)⨳⩥⨓(⫏≰11022202≦≮≮))=NaN","reverse_text":"NaN=(⫏≰20100211⊭↱⫏≰22211222⩨⫏≰20021002⋥≓≎⫏≰2022210)⪘⫢(∂(⫏≰12100111⨵⪆⫏≰11102011))∲⫓(⫏≰20012111≧⫂∧⫏≰12200010⪒(⇁⨣⪵⫏≰21122221))⋝⋈⪟((⫏≰1112010⋷⫏≰10121011)⨳⩥⨓(⫏≰11022202≦≮≮))","cot":[{"info":"⫏≰20100211⊭↱⫏≰22211222=⫏≰11222111","layer":3},{"info":"⫏≰20021002⋥≓≎⫏≰2022210=⫏≰-1120022","layer":3},{"info":"⫏≰11222111⩨⫏≰-1120022=⫏≰10","layer":2},{"info":"⫏≰12100111⨵⪆⫏≰11102011=⫏≰12221","layer":3},{"info":"∂⫏≰12221=⫏≰-120201","layer":2},{"info":"⫏≰10⪘⫢⫏≰-120201=⫏≰-11","layer":1},{"info":"⫏≰20012111≧⫂∧⫏≰12200010=⫏≰12000121","layer":3},{"info":"⇁⨣⪵⫏≰21122221=NaN","layer":3},{"info":"⫏≰12000121⪒NaN=NaN","layer":2},{"info":"⫏≰1112010⋷⫏≰10121011=⫏≰12200012","layer":3},{"info":"⫏≰11022202≦≮≮=⫏≰-110222020","layer":3},{"info":"⫏≰12200012⨳⩥⨓⫏≰-110222020=⫏≰-200122102","layer":2},{"info":"NaN⋝⋈⪟⫏≰-200122102=NaN","layer":1},{"info":"⫏≰-11∲⫓NaN=NaN","layer":0}]}
{"id":846,"expression_no_base_symbol":"(⊥($3045$⊭∹↮))+⇶⊼($3372$∼$8385$↪⪝)%($2394$⩨$1361$)∀⇚≩($3512$⪐)⨽($5197$+⇶⊼$2406$+$6661$≧⫂∧$1898$)","expression":"(⊥(⫏≰11011210⊭∹↮))+⇶⊼(⫏≰11121220∼⫏≰102111120↪⪝)%(⫏≰10021200⩨⫏≰1212102)∀⇚≩(⫏≰11211002⪐)⨽(⫏≰21010111+⇶⊼⫏≰10022010+⫏≰100010201≧⫂∧⫏≰2121022)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7125,"operation_count":13,"complexity_ratio":548.0769230769231,"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":3045,"base":3}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3372,"base":3},"right_expr":{"type":"numeric_atoms","value":8385,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2394,"base":3},"right_expr":{"type":"numeric_atoms","value":1361,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3512,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5197,"base":3},"right_expr":{"type":"numeric_atoms","value":2406,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6661,"base":3},"right_expr":{"type":"numeric_atoms","value":1898,"base":3}}}}},"used_operators":["k8jYdgA6NY","TpPTUOHfaN","Q3PJZHRvZv","xNBdhnnwKq","l07mrZUIn9","DyGG3AbaNP","8HhzD0ZcuI","LRNGc0VcxI","2DlMacCsIx","eH2TOUuTDT","W4YGzv6Whe","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","fu6greOZ01","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3045","layer":4},{"info":"compute unary expreesion, input=3045, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6090","layer":3},{"info":"compute unary expreesion, input=6090, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=3372","layer":4},{"info":"number node, value=8385","layer":4},{"info":"compute binary expreesion, left_input=3372, right_input=8385, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', 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=2394","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=1361, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3512","layer":4},{"info":"compute unary expreesion, input=3512, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7024","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7024, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=7024","layer":2},{"info":"number node, value=5197","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=5197, right_input=2406, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=6661","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=6661, right_input=1898, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1425","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1425, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7024, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊥(⫏≰11011210⊭∹↮))+⇶⊼(⫏≰11121220∼⫏≰102111120↪⪝)%(⫏≰10021200⩨⫏≰1212102)∀⇚≩(⫏≰11211002⪐)⨽(⫏≰21010111+⇶⊼⫏≰10022010+⫏≰100010201≧⫂∧⫏≰2121022)=NaN","reverse_text":"NaN=(⊥(⫏≰11011210⊭∹↮))+⇶⊼(⫏≰11121220∼⫏≰102111120↪⪝)%(⫏≰10021200⩨⫏≰1212102)∀⇚≩(⫏≰11211002⪐)⨽(⫏≰21010111+⇶⊼⫏≰10022010+⫏≰100010201≧⫂∧⫏≰2121022)","cot":[{"info":"⫏≰11011210⊭∹↮=⫏≰22100120","layer":3},{"info":"⊥⫏≰22100120=NaN","layer":2},{"info":"⫏≰11121220∼⫏≰102111120=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⫏≰10021200⩨⫏≰1212102=⫏≰0","layer":3},{"info":"⫏≰11211002⪐=⫏≰100122011","layer":3},{"info":"⫏≰0∀⇚≩⫏≰100122011=⫏≰100122011","layer":2},{"info":"⫏≰21010111+⇶⊼⫏≰10022010=NaN","layer":3},{"info":"⫏≰100010201≧⫂∧⫏≰2121022=⫏≰1221210","layer":3},{"info":"NaN+⫏≰1221210=NaN","layer":2},{"info":"⫏≰100122011⨽NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":847,"expression_no_base_symbol":"≤/((↯⪼($3735$⪨≂$2724$))⨵⪆($1860$+$4613$)↙$1567$⨐⩸⫘$3672$)","expression":"≤/((↯⪼(⫏≰12010100⪨≂⫏≰10201220))⨵⪆(⫏≰2112220+⫏≰20022212)↙⫏≰2011001⨐⩸⫘⫏≰12001000)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":44,"operation_count":7,"complexity_ratio":6.285714285714286,"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":3735,"base":3},"right_expr":{"type":"numeric_atoms","value":2724,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1860,"base":3},"right_expr":{"type":"numeric_atoms","value":4613,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1567,"base":3},"right_expr":{"type":"numeric_atoms","value":3672,"base":3}}}}},"used_operators":["eLAdDNolq6","2DQ55sFlQl","8jW3W4yZS5","sdazOOVcIp","yyfyN0ffXY","W4YGzv6Whe","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp"],"result":"⫏≰110000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3735","layer":4},{"info":"number node, value=2724","layer":4},{"info":"compute binary expreesion, left_input=3735, right_input=2724, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2124","layer":3},{"info":"compute unary expreesion, input=2124, 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=1860","layer":4},{"info":"number node, value=4613","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=4613, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6473","layer":3},{"info":"number node, value=1567","layer":4},{"info":"number node, value=3672","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=3672, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=6473, right_input=nan, 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=-21, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=324","layer":0}],"base":3,"result_base":3,"text":"≤/((↯⪼(⫏≰12010100⪨≂⫏≰10201220))⨵⪆(⫏≰2112220+⫏≰20022212)↙⫏≰2011001⨐⩸⫘⫏≰12001000)=⫏≰110000","reverse_text":"⫏≰110000=≤/((↯⪼(⫏≰12010100⪨≂⫏≰10201220))⨵⪆(⫏≰2112220+⫏≰20022212)↙⫏≰2011001⨐⩸⫘⫏≰12001000)","cot":[{"info":"⫏≰12010100⪨≂⫏≰10201220=⫏≰2220200","layer":3},{"info":"↯⪼⫏≰2220200=⫏≰-210","layer":2},{"info":"⫏≰2112220+⫏≰20022212=⫏≰22212202","layer":3},{"info":"⫏≰2011001⨐⩸⫘⫏≰12001000=NaN","layer":3},{"info":"⫏≰22212202↙NaN=NaN","layer":2},{"info":"⫏≰-210⨵⪆NaN=⫏≰12221","layer":1},{"info":"≤/⫏≰12221=⫏≰110000","layer":0}]}
{"id":848,"expression_no_base_symbol":"(⨰⫟⨤($1660$⨟⋌⩍$1564$⩚⊴⇥(⋗⩬⋾$3037$)))≭((⇁⨣⪵$4915$)⫥∨⫟(⨰⫟⨤$1022$)⨽($2429$⩨$1502$-$1197$+⇶⊼$2586$))","expression":"(⨰⫟⨤(⫏≰2021111⨟⋌⩍⫏≰2010221⩚⊴⇥(⋗⩬⋾⫏≰11011111)))≭((⇁⨣⪵⫏≰20202001)⫥∨⫟(⨰⫟⨤⫏≰1101212)⨽(⫏≰10022222⩨⫏≰2001122-⫏≰1122100+⇶⊼⫏≰10112210))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3456,"operation_count":12,"complexity_ratio":288.0,"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":1660,"base":3},"right_expr":{"type":"numeric_atoms","value":1564,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3037,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4915,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1022,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2429,"base":3},"right_expr":{"type":"numeric_atoms","value":1502,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1197,"base":3},"right_expr":{"type":"numeric_atoms","value":2586,"base":3}}}}},"used_operators":["rxpJgHHUmx","Tw270M8GLb","NTOWxs364D","rGHVDoGpnC","DpFCA1CohY","8HhzD0ZcuI","KYD54nUTWz","inkyxCbjAn","rysDP5nf3Z","2DlMacCsIx","TpPTUOHfaN"],"dependent_operators":["AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1660","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=1564, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=3037","layer":4},{"info":"compute unary expreesion, input=3037, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9111","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9111, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=4915","layer":4},{"info":"compute unary expreesion, input=4915, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1022","layer":4},{"info":"compute unary expreesion, input=1022, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2429","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=2429, right_input=1502, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=2586, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = rysDP5nf3Z binary_op_definition= 'None', 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"(⨰⫟⨤(⫏≰2021111⨟⋌⩍⫏≰2010221⩚⊴⇥(⋗⩬⋾⫏≰11011111)))≭((⇁⨣⪵⫏≰20202001)⫥∨⫟(⨰⫟⨤⫏≰1101212)⨽(⫏≰10022222⩨⫏≰2001122-⫏≰1122100+⇶⊼⫏≰10112210))=NaN","reverse_text":"NaN=(⨰⫟⨤(⫏≰2021111⨟⋌⩍⫏≰2010221⩚⊴⇥(⋗⩬⋾⫏≰11011111)))≭((⇁⨣⪵⫏≰20202001)⫥∨⫟(⨰⫟⨤⫏≰1101212)⨽(⫏≰10022222⩨⫏≰2001122-⫏≰1122100+⇶⊼⫏≰10112210))","cot":[{"info":"⫏≰2021111⨟⋌⩍⫏≰2010221=NaN","layer":3},{"info":"⋗⩬⋾⫏≰11011111=⫏≰-110111110","layer":3},{"info":"NaN⩚⊴⇥⫏≰-110111110=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⇁⨣⪵⫏≰20202001=NaN","layer":3},{"info":"⨰⫟⨤⫏≰1101212=NaN","layer":3},{"info":"NaN⫥∨⫟NaN=NaN","layer":2},{"info":"⫏≰10022222⩨⫏≰2001122=⫏≰0","layer":3},{"info":"⫏≰1122100+⇶⊼⫏≰10112210=NaN","layer":3},{"info":"⫏≰0-NaN=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":849,"expression_no_base_symbol":"((⊙↵-($1869$⨳⩥⨓$5717$))⋓(($1110$∲⫓$2833$)⋳⪒($4656$⩠)))∼($1727$∼$1085$*$1333$≹⇙⪍$1000$/(↩$1909$)⊉≛↸$7548$∼$2512$)","expression":"((⊙↵-(⫏≰2120020⨳⩥⨓⫏≰21211202))⋓((⫏≰1112010∲⫓⫏≰10212221)⋳⪒(⫏≰20101110⩠)))∼(⫏≰2100222∼⫏≰1111012*⫏≰1211101≹⇙⪍⫏≰1101001/(↩⫏≰2121201)⊉≛↸⫏≰101100120∼⫏≰10110001)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1005482,"operation_count":14,"complexity_ratio":71820.14285714286,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1869,"base":3},"right_expr":{"type":"numeric_atoms","value":5717,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1110,"base":3},"right_expr":{"type":"numeric_atoms","value":2833,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4656,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1727,"base":3},"right_expr":{"type":"numeric_atoms","value":1085,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1333,"base":3},"right_expr":{"type":"numeric_atoms","value":1000,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1909,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7548,"base":3},"right_expr":{"type":"numeric_atoms","value":2512,"base":3}}}}},"used_operators":["DyGG3AbaNP","T2fj7uvVaJ","oWn0xqSxBt","nCS4ZIUYfx","12rbrZMWeM","i8ToyICDmI","sJAwomhLZr","XhwjNDsVaA","9HNa5Wba9A","AHs5Up7iyr","DZ8iAZOCBD","jLgFTUHLKL"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1869","layer":4},{"info":"number node, value=5717","layer":4},{"info":"compute binary expreesion, left_input=1869, right_input=5717, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3848","layer":3},{"info":"compute unary expreesion, input=3848, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=1110","layer":4},{"info":"number node, value=2833","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=2833, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4656","layer":4},{"info":"compute unary expreesion, input=4656, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-287","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-287, op_id = T2fj7uvVaJ 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=1727","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=1085, 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=1333","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=1000, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1909","layer":4},{"info":"compute unary expreesion, input=1909, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-12492","layer":3},{"info":"number node, value=7548","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=7548, right_input=2512, 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=-12492, 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 binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊙↵-(⫏≰2120020⨳⩥⨓⫏≰21211202))⋓((⫏≰1112010∲⫓⫏≰10212221)⋳⪒(⫏≰20101110⩠)))∼(⫏≰2100222∼⫏≰1111012*⫏≰1211101≹⇙⪍⫏≰1101001/(↩⫏≰2121201)⊉≛↸⫏≰101100120∼⫏≰10110001)=NaN","reverse_text":"NaN=((⊙↵-(⫏≰2120020⨳⩥⨓⫏≰21211202))⋓((⫏≰1112010∲⫓⫏≰10212221)⋳⪒(⫏≰20101110⩠)))∼(⫏≰2100222∼⫏≰1111012*⫏≰1211101≹⇙⪍⫏≰1101001/(↩⫏≰2121201)⊉≛↸⫏≰101100120∼⫏≰10110001)","cot":[{"info":"⫏≰2120020⨳⩥⨓⫏≰21211202=⫏≰12021112","layer":3},{"info":"⊙↵-⫏≰12021112=⫏≰-1","layer":2},{"info":"⫏≰1112010∲⫓⫏≰10212221=⫏≰0","layer":3},{"info":"⫏≰20101110⩠=⫏≰0","layer":3},{"info":"⫏≰0⋳⪒⫏≰0=⫏≰-101122","layer":2},{"info":"⫏≰-1⋓⫏≰-101122=⫏≰0","layer":1},{"info":"⫏≰2100222∼⫏≰1111012=NaN","layer":3},{"info":"⫏≰1211101≹⇙⪍⫏≰1101001=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"↩⫏≰2121201=⫏≰-122010200","layer":3},{"info":"⫏≰101100120∼⫏≰10110001=NaN","layer":3},{"info":"⫏≰-122010200⊉≛↸NaN=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⫏≰0∼NaN=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"(($3528$⩚⊴⇥$1982$)⊴(≉$7790$)⫌⩹⨱)⋥≓≎(-((⨰⫟⨤$2960$)⨁⊸⫻))","expression":"((⫏≰11211200⩚⊴⇥⫏≰2201102)⊴(≉⫏≰101200112)⫌⩹⨱)⋥≓≎(-((⨰⫟⨤⫏≰11001122)⨁⊸⫻))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22640,"operation_count":8,"complexity_ratio":2830.0,"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":3528,"base":3},"right_expr":{"type":"numeric_atoms","value":1982,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7790,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2960,"base":3}}}}},"used_operators":["Qy55tPpLXF","EBcxylXtPf","Nsiff2A1zJ","NTOWxs364D","e1ybzncUwg","t8gj7n24qd","glklzrTFfD","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3528","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=3528, right_input=1982, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5631","layer":3},{"info":"number node, value=7790","layer":4},{"info":"compute unary expreesion, input=7790, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=8321","layer":3},{"info":"compute binary expreesion, left_input=-5631, right_input=8321, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":"number node, value=2960","layer":4},{"info":"compute unary expreesion, input=2960, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', 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":3,"result_base":3,"text":"((⫏≰11211200⩚⊴⇥⫏≰2201102)⊴(≉⫏≰101200112)⫌⩹⨱)⋥≓≎(-((⨰⫟⨤⫏≰11001122)⨁⊸⫻))=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰11211200⩚⊴⇥⫏≰2201102)⊴(≉⫏≰101200112)⫌⩹⨱)⋥≓≎(-((⨰⫟⨤⫏≰11001122)⨁⊸⫻))","cot":[{"info":"⫏≰11211200⩚⊴⇥⫏≰2201102=⫏≰-21201120","layer":3},{"info":"≉⫏≰101200112=⫏≰102102012","layer":3},{"info":"⫏≰-21201120⊴⫏≰102102012=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"⨰⫟⨤⫏≰11001122=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫏≰2111","layer":0}]}
{"id":851,"expression_no_base_symbol":"($5205$⫩⊇)⪢($1407$%$4201$)⩨(($2775$↪⪝)⊪)⇼⇔∾(↩(↥($2144$⫡⨏$2720$)))","expression":"(⫏≰21010210⫩⊇)⪢(⫏≰1221010%⫏≰12202121)⩨((⫏≰10210210↪⪝)⊪)⇼⇔∾(↩(↥(⫏≰2221102⫡⨏⫏≰10201202)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4557,"operation_count":10,"complexity_ratio":455.7,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5205,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1407,"base":3},"right_expr":{"type":"numeric_atoms","value":4201,"base":3}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2775,"base":3}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2144,"base":3},"right_expr":{"type":"numeric_atoms","value":2720,"base":3}}}}},"used_operators":["tifHPKVTfV","2DlMacCsIx","dWAJyo7jo9","BjRHVeLaeN","k8jYdgA6NY","zVYPLywUTj","l07mrZUIn9","jLgFTUHLKL","A8NUZmVepG","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5205","layer":4},{"info":"compute unary expreesion, input=5205, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5163","layer":3},{"info":"number node, value=1407","layer":4},{"info":"number node, value=4201","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=4201, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1407","layer":3},{"info":"compute binary expreesion, left_input=-5163, right_input=1407, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2775","layer":4},{"info":"compute unary expreesion, input=2775, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=169780050","layer":3},{"info":"compute unary expreesion, input=169780050, 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=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=2144","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=2720, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16943","layer":3},{"info":"compute unary expreesion, input=16943, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=11","layer":2},{"info":"compute unary expreesion, input=11, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4712","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4712, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21010210⫩⊇)⪢(⫏≰1221010%⫏≰12202121)⩨((⫏≰10210210↪⪝)⊪)⇼⇔∾(↩(↥(⫏≰2221102⫡⨏⫏≰10201202)))=NaN","reverse_text":"NaN=(⫏≰21010210⫩⊇)⪢(⫏≰1221010%⫏≰12202121)⩨((⫏≰10210210↪⪝)⊪)⇼⇔∾(↩(↥(⫏≰2221102⫡⨏⫏≰10201202)))","cot":[{"info":"⫏≰21010210⫩⊇=⫏≰-21002020","layer":3},{"info":"⫏≰1221010%⫏≰12202121=⫏≰1221010","layer":3},{"info":"⫏≰-21002020⪢⫏≰1221010=NaN","layer":2},{"info":"⫏≰10210210↪⪝=⫏≰102211110201110000","layer":3},{"info":"⫏≰102211110201110000⊪=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⫏≰2221102⫡⨏⫏≰10201202=⫏≰212020112","layer":3},{"info":"↥⫏≰212020112=⫏≰102","layer":2},{"info":"↩⫏≰102=⫏≰20110112","layer":1},{"info":"NaN⇼⇔∾⫏≰20110112=NaN","layer":0}]}
{"id":852,"expression_no_base_symbol":"≦∁(↯⪼(⨰⫟⨤($4362$⨽$2352$)))","expression":"≦∁(↯⪼(⨰⫟⨤(⫏≰12222120⨽⫏≰10020010)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":114179071,"operation_count":4,"complexity_ratio":28544767.75,"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":4362,"base":3},"right_expr":{"type":"numeric_atoms","value":2352,"base":3}}}}},"used_operators":["9ICcGScMcE","8jW3W4yZS5","Tw270M8GLb","8HhzD0ZcuI"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫏≰-2121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4362","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=4362, right_input=2352, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-57086874","layer":3},{"info":"compute unary expreesion, input=-57086874, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-70","layer":0}],"base":3,"result_base":3,"text":"≦∁(↯⪼(⨰⫟⨤(⫏≰12222120⨽⫏≰10020010)))=⫏≰-2121","reverse_text":"⫏≰-2121=≦∁(↯⪼(⨰⫟⨤(⫏≰12222120⨽⫏≰10020010)))","cot":[{"info":"⫏≰12222120⨽⫏≰10020010=⫏≰-10222102022110200","layer":3},{"info":"⨰⫟⨤⫏≰-10222102022110200=NaN","layer":2},{"info":"↯⪼NaN=⫏≰-210","layer":1},{"info":"≦∁⫏≰-210=⫏≰-2121","layer":0}]}
{"id":853,"expression_no_base_symbol":"((($2666$≦≮≮)⪨≂($6617$⊠≄⫣))⨁⊸⫻)⋷(($4355$≧⫂∧$1219$/($6812$⫡⨏$1524$))∸)","expression":"(((⫏≰10122202≦≮≮)⪨≂(⫏≰100002002⊠≄⫣))⨁⊸⫻)⋷((⫏≰12222022≧⫂∧⫏≰1200011/(⫏≰100100022⫡⨏⫏≰2002110))∸)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":202,"operation_count":9,"complexity_ratio":22.444444444444443,"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":2666,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":6617,"base":3}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4355,"base":3},"right_expr":{"type":"numeric_atoms","value":1219,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6812,"base":3},"right_expr":{"type":"numeric_atoms","value":1524,"base":3}}}}},"used_operators":["23Mk6UjR3U","glklzrTFfD","sdazOOVcIp","D4vGDi5EA2","DIvbN7qnHd","o20kRiQErp","XhwjNDsVaA","Ph9nP6C5qx","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰10020012200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2666","layer":4},{"info":"compute unary expreesion, input=2666, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7998","layer":3},{"info":"number node, value=6617","layer":4},{"info":"compute unary expreesion, input=6617, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7998, 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=-15894","layer":2},{"info":"compute unary expreesion, input=-15894, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-31788","layer":1},{"info":"number node, value=4355","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=4355, right_input=1219, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=746","layer":3},{"info":"number node, value=6812","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=6812, right_input=1524, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=37891","layer":3},{"info":"compute binary expreesion, left_input=746, right_input=37891, op_id = XhwjNDsVaA binary_op_definition= 'None', 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=-31788, right_input=177, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=63576","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰10122202≦≮≮)⪨≂(⫏≰100002002⊠≄⫣))⨁⊸⫻)⋷((⫏≰12222022≧⫂∧⫏≰1200011/(⫏≰100100022⫡⨏⫏≰2002110))∸)=⫏≰10020012200","reverse_text":"⫏≰10020012200=(((⫏≰10122202≦≮≮)⪨≂(⫏≰100002002⊠≄⫣))⨁⊸⫻)⋷((⫏≰12222022≧⫂∧⫏≰1200011/(⫏≰100100022⫡⨏⫏≰2002110))∸)","cot":[{"info":"⫏≰10122202≦≮≮=⫏≰-101222020","layer":3},{"info":"⫏≰100002002⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰-101222020⪨≂⫏≰0=⫏≰-210210200","layer":2},{"info":"⫏≰-210210200⨁⊸⫻=⫏≰-1121121100","layer":1},{"info":"⫏≰12222022≧⫂∧⫏≰1200011=⫏≰1000122","layer":3},{"info":"⫏≰100100022⫡⨏⫏≰2002110=⫏≰1220222101","layer":3},{"info":"⫏≰1000122/⫏≰1220222101=⫏≰0","layer":2},{"info":"⫏≰0∸=⫏≰20120","layer":1},{"info":"⫏≰-1121121100⋷⫏≰20120=⫏≰10020012200","layer":0}]}
{"id":854,"expression_no_base_symbol":"⨑⩽⪐($6831$⋳⪒$2204$⇼⇔∾($4374$/$8811$))⪘⫢(⨵≀≌(⊄⩳↩$5891$))","expression":"⨑⩽⪐(⫏≰100101000⋳⪒⫏≰10000122⇼⇔∾(⫏≰20000000/⫏≰110002100))⪘⫢(⨵≀≌(⊄⩳↩⫏≰22002012))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17707,"operation_count":7,"complexity_ratio":2529.5714285714284,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6831,"base":3},"right_expr":{"type":"numeric_atoms","value":2204,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4374,"base":3},"right_expr":{"type":"numeric_atoms","value":8811,"base":3}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5891,"base":3}}}}},"used_operators":["AF7qkfDlqP","oacrs7FA3X","tifHPKVTfV","12rbrZMWeM","XhwjNDsVaA","srAu1WTS94","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰1002020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6831","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=6831, right_input=2204, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11171","layer":3},{"info":"number node, value=4374","layer":4},{"info":"number node, value=8811","layer":4},{"info":"compute binary expreesion, left_input=4374, right_input=8811, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=11171, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-11171","layer":2},{"info":"number node, value=5891","layer":4},{"info":"compute unary expreesion, input=5891, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17673","layer":3},{"info":"compute unary expreesion, input=-17673, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=312334929","layer":2},{"info":"compute binary expreesion, left_input=-11171, right_input=312334929, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":0}],"base":3,"result_base":3,"text":"⨑⩽⪐(⫏≰100101000⋳⪒⫏≰10000122⇼⇔∾(⫏≰20000000/⫏≰110002100))⪘⫢(⨵≀≌(⊄⩳↩⫏≰22002012))=⫏≰1002020","reverse_text":"⫏≰1002020=⨑⩽⪐(⫏≰100101000⋳⪒⫏≰10000122⇼⇔∾(⫏≰20000000/⫏≰110002100))⪘⫢(⨵≀≌(⊄⩳↩⫏≰22002012))","cot":[{"info":"⫏≰100101000⋳⪒⫏≰10000122=⫏≰120022202","layer":3},{"info":"⫏≰20000000/⫏≰110002100=⫏≰0","layer":3},{"info":"⫏≰120022202⇼⇔∾⫏≰0=⫏≰-120022202","layer":2},{"info":"⊄⩳↩⫏≰22002012=⫏≰-220020120","layer":3},{"info":"⨵≀≌⫏≰-220020120=⫏≰210202201020222100","layer":2},{"info":"⫏≰-120022202⪘⫢⫏≰210202201020222100=⫏≰0","layer":1},{"info":"⨑⩽⪐⫏≰0=⫏≰1002020","layer":0}]}
{"id":855,"expression_no_base_symbol":"(($1427$≦≮≮)⩷∴($1375$⨵⪆$1090$)↺(↯⪼$1012$)⩚⊴⇥($1742$↛⩡⫤))⩚⊴⇥($1734$⨪↰⇹$2160$⊘)⨪↰⇹($1362$⨎$1718$)⪘⫢$5391$⇷$1604$","expression":"((⫏≰1221212≦≮≮)⩷∴(⫏≰1212221⨵⪆⫏≰1111101)↺(↯⪼⫏≰1101111)⩚⊴⇥(⫏≰2101112↛⩡⫤))⩚⊴⇥(⫏≰2101020⨪↰⇹⫏≰2222000⊘)⨪↰⇹(⫏≰1212110⨎⫏≰2100122)⪘⫢⫏≰21101200⇷⫏≰2012102","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":82659,"operation_count":14,"complexity_ratio":5904.214285714285,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1427,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1375,"base":3},"right_expr":{"type":"numeric_atoms","value":1090,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1012,"base":3}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1742,"base":3}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1734,"base":3},"right_expr":{"type":"numeric_atoms","value":2160,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1362,"base":3},"right_expr":{"type":"numeric_atoms","value":1718,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5391,"base":3},"right_expr":{"type":"numeric_atoms","value":1604,"base":3}}}}},"used_operators":["NTOWxs364D","7j4O788W3g","9FxExcQeMw","D4vGDi5EA2","2DQ55sFlQl","8jW3W4yZS5","FU0Cs4j7VP","tmPS8pqC7x","gu96TGCTMs","oacrs7FA3X","rJVOvQCfKK","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rJVOvQCfKK","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫏≰-111011111020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4281","layer":3},{"info":"number node, value=1375","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=1090, 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=-4281, right_input=160, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8914","layer":2},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, 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=1742","layer":4},{"info":"compute unary expreesion, input=1742, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-259131","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-259131, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=259031","layer":2},{"info":"compute binary expreesion, left_input=-8914, right_input=259031, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=259031","layer":1},{"info":"number node, value=1734","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=2160, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1734","layer":3},{"info":"compute unary expreesion, input=1734, 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=1362","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=1718, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1718","layer":3},{"info":"number node, value=5391","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=5391, right_input=1604, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3208","layer":3},{"info":"compute binary expreesion, left_input=1718, right_input=3208, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3312","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3312, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=259031, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-259152","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1221212≦≮≮)⩷∴(⫏≰1212221⨵⪆⫏≰1111101)↺(↯⪼⫏≰1101111)⩚⊴⇥(⫏≰2101112↛⩡⫤))⩚⊴⇥(⫏≰2101020⨪↰⇹⫏≰2222000⊘)⨪↰⇹(⫏≰1212110⨎⫏≰2100122)⪘⫢⫏≰21101200⇷⫏≰2012102=⫏≰-111011111020","reverse_text":"⫏≰-111011111020=((⫏≰1221212≦≮≮)⩷∴(⫏≰1212221⨵⪆⫏≰1111101)↺(↯⪼⫏≰1101111)⩚⊴⇥(⫏≰2101112↛⩡⫤))⩚⊴⇥(⫏≰2101020⨪↰⇹⫏≰2222000⊘)⨪↰⇹(⫏≰1212110⨎⫏≰2100122)⪘⫢⫏≰21101200⇷⫏≰2012102","cot":[{"info":"⫏≰1221212≦≮≮=⫏≰-12212120","layer":3},{"info":"⫏≰1212221⨵⪆⫏≰1111101=⫏≰12221","layer":3},{"info":"⫏≰-12212120⩷∴⫏≰12221=⫏≰-110020011","layer":2},{"info":"↯⪼⫏≰1101111=⫏≰-210","layer":3},{"info":"⫏≰2101112↛⩡⫤=⫏≰-111011110110","layer":3},{"info":"⫏≰-210⩚⊴⇥⫏≰-111011110110=⫏≰111011022202","layer":2},{"info":"⫏≰-110020011↺⫏≰111011022202=⫏≰111011022202","layer":1},{"info":"⫏≰2101020⨪↰⇹⫏≰2222000=⫏≰2101020","layer":3},{"info":"⫏≰2101020⊘=⫏≰0","layer":2},{"info":"⫏≰1212110⨎⫏≰2100122=⫏≰2100122","layer":3},{"info":"⫏≰21101200⇷⫏≰2012102=⫏≰11101211","layer":3},{"info":"⫏≰2100122⪘⫢⫏≰11101211=⫏≰11112200","layer":2},{"info":"⫏≰0⨪↰⇹⫏≰11112200=⫏≰0","layer":1},{"info":"⫏≰111011022202⩚⊴⇥⫏≰0=⫏≰-111011111020","layer":0}]}
{"id":856,"expression_no_base_symbol":"(⊄⩳↩($2837$≹⇙⪍$7983$⫸⊐$2505$⫥∨⫟$4730$))⫡⨏(($5732$⩤)⇼⇔∾$4098$+⇶⊼$2004$)⪮%⊝(⨑⩽⪐$5491$⨓$5170$)","expression":"(⊄⩳↩(⫏≰10220002≹⇙⪍⫏≰101221200⫸⊐⫏≰10102210⫥∨⫟⫏≰20111012))⫡⨏((⫏≰21212022⩤)⇼⇔∾⫏≰12121210+⇶⊼⫏≰2202020)⪮%⊝(⨑⩽⪐⫏≰21112101⨓⫏≰21002111)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5365,"operation_count":11,"complexity_ratio":487.72727272727275,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2837,"base":3},"right_expr":{"type":"numeric_atoms","value":7983,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2505,"base":3},"right_expr":{"type":"numeric_atoms","value":4730,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5732,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4098,"base":3},"right_expr":{"type":"numeric_atoms","value":2004,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5491,"base":3},"right_expr":{"type":"numeric_atoms","value":5170,"base":3}}}}},"used_operators":["QMFrweE19q","8w2t5hMYqp","mqXw5SEYmG","AHs5Up7iyr","KYD54nUTWz","IWmyXbctLI","tifHPKVTfV","Z2TMIBDE3Q","TpPTUOHfaN","AF7qkfDlqP","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2837","layer":4},{"info":"number node, value=7983","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=7983, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2505","layer":4},{"info":"number node, value=4730","layer":4},{"info":"compute binary expreesion, left_input=2505, right_input=4730, 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 = 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=5732","layer":4},{"info":"compute unary expreesion, input=5732, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5732","layer":3},{"info":"number node, value=4098","layer":4},{"info":"number node, value=2004","layer":4},{"info":"compute binary expreesion, left_input=4098, right_input=2004, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-5732, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=5491","layer":4},{"info":"number node, value=5170","layer":4},{"info":"compute binary expreesion, left_input=5491, right_input=5170, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5173","layer":3},{"info":"compute unary expreesion, input=-5173, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=11135","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11135, 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 = 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":3,"result_base":3,"text":"(⊄⩳↩(⫏≰10220002≹⇙⪍⫏≰101221200⫸⊐⫏≰10102210⫥∨⫟⫏≰20111012))⫡⨏((⫏≰21212022⩤)⇼⇔∾⫏≰12121210+⇶⊼⫏≰2202020)⪮%⊝(⨑⩽⪐⫏≰21112101⨓⫏≰21002111)=NaN","reverse_text":"NaN=(⊄⩳↩(⫏≰10220002≹⇙⪍⫏≰101221200⫸⊐⫏≰10102210⫥∨⫟⫏≰20111012))⫡⨏((⫏≰21212022⩤)⇼⇔∾⫏≰12121210+⇶⊼⫏≰2202020)⪮%⊝(⨑⩽⪐⫏≰21112101⨓⫏≰21002111)","cot":[{"info":"⫏≰10220002≹⇙⪍⫏≰101221200=NaN","layer":3},{"info":"⫏≰10102210⫥∨⫟⫏≰20111012=NaN","layer":3},{"info":"NaN⫸⊐NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⫏≰21212022⩤=⫏≰-21212022","layer":3},{"info":"⫏≰12121210+⇶⊼⫏≰2202020=NaN","layer":3},{"info":"⫏≰-21212022⇼⇔∾NaN=NaN","layer":2},{"info":"⫏≰21112101⨓⫏≰21002111=⫏≰-21002121","layer":3},{"info":"⨑⩽⪐⫏≰-21002121=⫏≰120021102","layer":2},{"info":"NaN⪮%⊝⫏≰120021102=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":857,"expression_no_base_symbol":"((($1965$+$1000$)⪒$5161$⨐⩸⫘$3677$)⨪↰⇹(($2228$⪄$4320$)⫩⊇))⪘⫢($2782$⇼⇔∾$3348$⇼⇔∾$1001$⨐⩸⫘$6210$*($3958$⪨≂$2308$)⪮%⊝($1141$⇼⇔∾$3329$))","expression":"(((⫏≰2200210+⫏≰1101001)⪒⫏≰21002011⨐⩸⫘⫏≰12001012)⨪↰⇹((⫏≰10001112⪄⫏≰12221000)⫩⊇))⪘⫢(⫏≰10211001⇼⇔∾⫏≰11121000⇼⇔∾⫏≰1101002⨐⩸⫘⫏≰22112000*(⫏≰12102121⪨≂⫏≰10011111)⪮%⊝(⫏≰1120021⇼⇔∾⫏≰11120022))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":134,"operation_count":14,"complexity_ratio":9.571428571428571,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1965,"base":3},"right_expr":{"type":"numeric_atoms","value":1000,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5161,"base":3},"right_expr":{"type":"numeric_atoms","value":3677,"base":3}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2228,"base":3},"right_expr":{"type":"numeric_atoms","value":4320,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2782,"base":3},"right_expr":{"type":"numeric_atoms","value":3348,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1001,"base":3},"right_expr":{"type":"numeric_atoms","value":6210,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3958,"base":3},"right_expr":{"type":"numeric_atoms","value":2308,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1141,"base":3},"right_expr":{"type":"numeric_atoms","value":3329,"base":3}}}}},"used_operators":["oacrs7FA3X","tmPS8pqC7x","f6k1SAg4EE","W4YGzv6Whe","fu6greOZ01","BjRHVeLaeN","SUmda5xLS4","9HNa5Wba9A","tifHPKVTfV","IWmyXbctLI","sdazOOVcIp"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1965","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1965, right_input=1000, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2965","layer":3},{"info":"number node, value=5161","layer":4},{"info":"number node, value=3677","layer":4},{"info":"compute binary expreesion, left_input=5161, right_input=3677, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2965, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2228","layer":4},{"info":"number node, value=4320","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=4320, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-343113","layer":3},{"info":"compute unary expreesion, input=-343113, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=343155","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=343155, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=2782","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=2782, right_input=3348, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=566","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=6210","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=6210, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=566, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=3958","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=3958, right_input=2308, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3402","layer":3},{"info":"number node, value=1141","layer":4},{"info":"number node, value=3329","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=3329, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2188","layer":3},{"info":"compute binary expreesion, left_input=3402, right_input=2188, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7120","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7120, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":3,"result_base":3,"text":"(((⫏≰2200210+⫏≰1101001)⪒⫏≰21002011⨐⩸⫘⫏≰12001012)⨪↰⇹((⫏≰10001112⪄⫏≰12221000)⫩⊇))⪘⫢(⫏≰10211001⇼⇔∾⫏≰11121000⇼⇔∾⫏≰1101002⨐⩸⫘⫏≰22112000*(⫏≰12102121⪨≂⫏≰10011111)⪮%⊝(⫏≰1120021⇼⇔∾⫏≰11120022))=NaN","reverse_text":"NaN=(((⫏≰2200210+⫏≰1101001)⪒⫏≰21002011⨐⩸⫘⫏≰12001012)⨪↰⇹((⫏≰10001112⪄⫏≰12221000)⫩⊇))⪘⫢(⫏≰10211001⇼⇔∾⫏≰11121000⇼⇔∾⫏≰1101002⨐⩸⫘⫏≰22112000*(⫏≰12102121⪨≂⫏≰10011111)⪮%⊝(⫏≰1120021⇼⇔∾⫏≰11120022))","cot":[{"info":"⫏≰2200210+⫏≰1101001=⫏≰11001211","layer":3},{"info":"⫏≰21002011⨐⩸⫘⫏≰12001012=NaN","layer":3},{"info":"⫏≰11001211⪒NaN=NaN","layer":2},{"info":"⫏≰10001112⪄⫏≰12221000=⫏≰-122102122220","layer":3},{"info":"⫏≰-122102122220⫩⊇=⫏≰122102201110","layer":2},{"info":"NaN⨪↰⇹⫏≰122102201110=NaN","layer":1},{"info":"⫏≰10211001⇼⇔∾⫏≰11121000=⫏≰202222","layer":3},{"info":"⫏≰1101002⨐⩸⫘⫏≰22112000=NaN","layer":3},{"info":"⫏≰202222⇼⇔∾NaN=NaN","layer":2},{"info":"⫏≰12102121⪨≂⫏≰10011111=⫏≰11200000","layer":3},{"info":"⫏≰1120021⇼⇔∾⫏≰11120022=⫏≰10000001","layer":3},{"info":"⫏≰11200000⪮%⊝⫏≰10000001=⫏≰100202201","layer":2},{"info":"NaN*⫏≰100202201=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":858,"expression_no_base_symbol":"(($3666$⫡⨏$1612$)⪘⫢($3202$⨎$6782$))⊴((-$1270$)%$5195$-$5986$)⋥≓≎($3307$↬$1807$↙$1344$⪘⫢$1972$)≧⫂∧(↣≠⋷(⫓⪴$5356$))","expression":"((⫏≰12000210⫡⨏⫏≰2012201)⪘⫢(⫏≰11101121⨎⫏≰100022012))⊴((-⫏≰1202001)%⫏≰21010102-⫏≰22012201)⋥≓≎(⫏≰11112111↬⫏≰2110221↙⫏≰1211210⪘⫢⫏≰2201001)≧⫂∧(↣≠⋷(⫓⪴⫏≰21100101))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13654,"operation_count":14,"complexity_ratio":975.2857142857143,"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":3666,"base":3},"right_expr":{"type":"numeric_atoms","value":1612,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3202,"base":3},"right_expr":{"type":"numeric_atoms","value":6782,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1270,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5195,"base":3},"right_expr":{"type":"numeric_atoms","value":5986,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3307,"base":3},"right_expr":{"type":"numeric_atoms","value":1807,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1344,"base":3},"right_expr":{"type":"numeric_atoms","value":1972,"base":3}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5356,"base":3}}}}},"used_operators":["Qy55tPpLXF","Nsiff2A1zJ","oacrs7FA3X","QMFrweE19q","rJVOvQCfKK","k8jYdgA6NY","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","yyfyN0ffXY","B5M0gjZbta","Asc51vEJeQ","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3666","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=3666, right_input=1612, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22337","layer":3},{"info":"number node, value=3202","layer":4},{"info":"number node, value=6782","layer":4},{"info":"compute binary expreesion, left_input=3202, right_input=6782, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6782","layer":3},{"info":"compute binary expreesion, left_input=22337, right_input=6782, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=44550","layer":2},{"info":"number node, value=1270","layer":4},{"info":"compute unary expreesion, input=1270, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1270","layer":3},{"info":"number node, value=5195","layer":4},{"info":"number node, value=5986","layer":4},{"info":"compute binary expreesion, left_input=5195, right_input=5986, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-791","layer":3},{"info":"compute binary expreesion, left_input=-1270, right_input=-791, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-479","layer":2},{"info":"compute binary expreesion, left_input=44550, right_input=-479, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3307","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=3307, right_input=1807, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1344","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=1972, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2564","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2564, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=5356","layer":4},{"info":"compute unary expreesion, input=5356, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=28686736","layer":3},{"info":"compute unary expreesion, input=28686736, 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 = 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12000210⫡⨏⫏≰2012201)⪘⫢(⫏≰11101121⨎⫏≰100022012))⊴((-⫏≰1202001)%⫏≰21010102-⫏≰22012201)⋥≓≎(⫏≰11112111↬⫏≰2110221↙⫏≰1211210⪘⫢⫏≰2201001)≧⫂∧(↣≠⋷(⫓⪴⫏≰21100101))=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰12000210⫡⨏⫏≰2012201)⪘⫢(⫏≰11101121⨎⫏≰100022012))⊴((-⫏≰1202001)%⫏≰21010102-⫏≰22012201)⋥≓≎(⫏≰11112111↬⫏≰2110221↙⫏≰1211210⪘⫢⫏≰2201001)≧⫂∧(↣≠⋷(⫓⪴⫏≰21100101))","cot":[{"info":"⫏≰12000210⫡⨏⫏≰2012201=⫏≰1010122022","layer":3},{"info":"⫏≰11101121⨎⫏≰100022012=⫏≰100022012","layer":3},{"info":"⫏≰1010122022⪘⫢⫏≰100022012=⫏≰2021010000","layer":2},{"info":"-⫏≰1202001=⫏≰-1202001","layer":3},{"info":"⫏≰21010102-⫏≰22012201=⫏≰-1002022","layer":3},{"info":"⫏≰-1202001%⫏≰-1002022=⫏≰-122202","layer":2},{"info":"⫏≰2021010000⊴⫏≰-122202=NaN","layer":1},{"info":"⫏≰11112111↬⫏≰2110221=NaN","layer":3},{"info":"⫏≰1211210⪘⫢⫏≰2201001=⫏≰10111222","layer":3},{"info":"NaN↙⫏≰10111222=NaN","layer":2},{"info":"⫓⪴⫏≰21100101=⫏≰1222222102210201","layer":3},{"info":"↣≠⋷⫏≰1222222102210201=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫏≰2111","layer":0}]}
{"id":859,"expression_no_base_symbol":"(⨰⫟⨤(⊄⩳↩($2319$⋓$1380$)))⩚⊴⇥(($3092$+⇶⊼$1446$)⨓($2399$⋝⋈⪟$1335$)⨁⊸⫻)","expression":"(⨰⫟⨤(⊄⩳↩(⫏≰10011220⋓⫏≰1220010)))⩚⊴⇥((⫏≰11020112+⇶⊼⫏≰1222120)⨓(⫏≰10021212⋝⋈⪟⫏≰1211110)⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3325,"operation_count":8,"complexity_ratio":415.625,"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":2319,"base":3},"right_expr":{"type":"numeric_atoms","value":1380,"base":3}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3092,"base":3},"right_expr":{"type":"numeric_atoms","value":1446,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2399,"base":3},"right_expr":{"type":"numeric_atoms","value":1335,"base":3}}}}},"used_operators":["NTOWxs364D","Tw270M8GLb","8w2t5hMYqp","T2fj7uvVaJ","glklzrTFfD","3ViojmjbAp","TpPTUOHfaN","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-22110000100110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2319","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=1380, op_id = T2fj7uvVaJ 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-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":"number node, value=3092","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=3092, right_input=1446, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2399","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=2399, right_input=1335, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2399","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2399, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2402","layer":2},{"info":"compute unary expreesion, input=-2402, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-4804","layer":1},{"info":"compute binary expreesion, left_input=4492662, right_input=-4804, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4487979","layer":0}],"base":3,"result_base":3,"text":"(⨰⫟⨤(⊄⩳↩(⫏≰10011220⋓⫏≰1220010)))⩚⊴⇥((⫏≰11020112+⇶⊼⫏≰1222120)⨓(⫏≰10021212⋝⋈⪟⫏≰1211110)⨁⊸⫻)=⫏≰-22110000100110","reverse_text":"⫏≰-22110000100110=(⨰⫟⨤(⊄⩳↩(⫏≰10011220⋓⫏≰1220010)))⩚⊴⇥((⫏≰11020112+⇶⊼⫏≰1222120)⨓(⫏≰10021212⋝⋈⪟⫏≰1211110)⨁⊸⫻)","cot":[{"info":"⫏≰10011220⋓⫏≰1220010=⫏≰0","layer":3},{"info":"⊄⩳↩⫏≰0=⫏≰0","layer":2},{"info":"⨰⫟⨤⫏≰0=⫏≰22110020202220","layer":1},{"info":"⫏≰11020112+⇶⊼⫏≰1222120=NaN","layer":3},{"info":"⫏≰10021212⋝⋈⪟⫏≰1211110=⫏≰10021212","layer":3},{"info":"NaN⨓⫏≰10021212=⫏≰-10021222","layer":2},{"info":"⫏≰-10021222⨁⊸⫻=⫏≰-20120221","layer":1},{"info":"⫏≰22110020202220⩚⊴⇥⫏≰-20120221=⫏≰-22110000100110","layer":0}]}
{"id":860,"expression_no_base_symbol":"(($1411$⊉≛↸$1064$)⨎($4462$⨵⪆$3613$)⪨≂$1890$⪛$4895$⊉≛↸(⪲⇎$1591$))⨓(⩦⩻⨪($2304$⪛$2569$-($1059$⫩⊇)))","expression":"((⫏≰1221021⊉≛↸⫏≰1110102)⨎(⫏≰20010021⨵⪆⫏≰11221211)⪨≂⫏≰2121000⪛⫏≰20201022⊉≛↸(⪲⇎⫏≰2011221))⨓(⩦⩻⨪(⫏≰10011100⪛⫏≰10112011-(⫏≰1110020⫩⊇)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3354,"operation_count":12,"complexity_ratio":279.5,"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":1411,"base":3},"right_expr":{"type":"numeric_atoms","value":1064,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4462,"base":3},"right_expr":{"type":"numeric_atoms","value":3613,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1890,"base":3},"right_expr":{"type":"numeric_atoms","value":4895,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1591,"base":3}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2304,"base":3},"right_expr":{"type":"numeric_atoms","value":2569,"base":3}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1059,"base":3}}}}},"used_operators":["3ViojmjbAp","sdazOOVcIp","rJVOvQCfKK","DZ8iAZOCBD","2DQ55sFlQl","uFcxV4UQCh","XPYlsWDdGa","2td37pGCOC","rysDP5nf3Z","BjRHVeLaeN"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-11120010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1411","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=1064, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2822","layer":3},{"info":"number node, value=4462","layer":4},{"info":"number node, value=3613","layer":4},{"info":"compute binary expreesion, left_input=4462, right_input=3613, 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=2822, 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=1890","layer":4},{"info":"number node, value=4895","layer":4},{"info":"compute binary expreesion, left_input=1890, right_input=4895, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1890","layer":3},{"info":"number node, value=1591","layer":4},{"info":"compute unary expreesion, input=1591, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3182","layer":3},{"info":"compute binary expreesion, left_input=1890, right_input=3182, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3780","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=3780, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7138","layer":1},{"info":"number node, value=2304","layer":4},{"info":"number node, value=2569","layer":4},{"info":"compute binary expreesion, left_input=2304, right_input=2569, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2304","layer":3},{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1017","layer":3},{"info":"compute binary expreesion, left_input=2304, right_input=-1017, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3321","layer":2},{"info":"compute unary expreesion, input=3321, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3321","layer":1},{"info":"compute binary expreesion, left_input=-7138, right_input=3321, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3324","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1221021⊉≛↸⫏≰1110102)⨎(⫏≰20010021⨵⪆⫏≰11221211)⪨≂⫏≰2121000⪛⫏≰20201022⊉≛↸(⪲⇎⫏≰2011221))⨓(⩦⩻⨪(⫏≰10011100⪛⫏≰10112011-(⫏≰1110020⫩⊇)))=⫏≰-11120010","reverse_text":"⫏≰-11120010=((⫏≰1221021⊉≛↸⫏≰1110102)⨎(⫏≰20010021⨵⪆⫏≰11221211)⪨≂⫏≰2121000⪛⫏≰20201022⊉≛↸(⪲⇎⫏≰2011221))⨓(⩦⩻⨪(⫏≰10011100⪛⫏≰10112011-(⫏≰1110020⫩⊇)))","cot":[{"info":"⫏≰1221021⊉≛↸⫏≰1110102=⫏≰10212112","layer":3},{"info":"⫏≰20010021⨵⪆⫏≰11221211=⫏≰12221","layer":3},{"info":"⫏≰10212112⨎⫏≰12221=⫏≰12221","layer":2},{"info":"⫏≰2121000⪛⫏≰20201022=⫏≰2121000","layer":3},{"info":"⪲⇎⫏≰2011221=⫏≰11100212","layer":3},{"info":"⫏≰2121000⊉≛↸⫏≰11100212=⫏≰12012000","layer":2},{"info":"⫏≰12221⪨≂⫏≰12012000=⫏≰-100210101","layer":1},{"info":"⫏≰10011100⪛⫏≰10112011=⫏≰10011100","layer":3},{"info":"⫏≰1110020⫩⊇=⫏≰-1101200","layer":3},{"info":"⫏≰10011100-⫏≰-1101200=⫏≰11120000","layer":2},{"info":"⩦⩻⨪⫏≰11120000=⫏≰11120000","layer":1},{"info":"⫏≰-100210101⨓⫏≰11120000=⫏≰-11120010","layer":0}]}
{"id":861,"expression_no_base_symbol":"($2458$⪮%⊝$3948$⩷∴$2368$⇷$2003$⊭↱(⩦⩻⨪($5304$↙$5140$)))⪐","expression":"(⫏≰10101001⪮%⊝⫏≰12102020⩷∴⫏≰10020201⇷⫏≰2202012⊭↱(⩦⩻⨪(⫏≰21021110↙⫏≰21001101)))⪐","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":38327,"operation_count":7,"complexity_ratio":5475.285714285715,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2458,"base":3},"right_expr":{"type":"numeric_atoms","value":3948,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2368,"base":3},"right_expr":{"type":"numeric_atoms","value":2003,"base":3}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5304,"base":3},"right_expr":{"type":"numeric_atoms","value":5140,"base":3}}}}},"used_operators":["eH2TOUuTDT","COABgblf1C","9FxExcQeMw","IWmyXbctLI","mp7IySMOzn","2td37pGCOC","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫏≰-10121212121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2458","layer":4},{"info":"number node, value=3948","layer":4},{"info":"compute binary expreesion, left_input=2458, right_input=3948, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5232","layer":3},{"info":"number node, value=2368","layer":4},{"info":"number node, value=2003","layer":4},{"info":"compute binary expreesion, left_input=2368, right_input=2003, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4006","layer":3},{"info":"compute binary expreesion, left_input=5232, right_input=4006, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2420","layer":2},{"info":"number node, value=5304","layer":4},{"info":"number node, value=5140","layer":4},{"info":"compute binary expreesion, left_input=5304, right_input=5140, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15420","layer":3},{"info":"compute unary expreesion, input=-15420, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-15420","layer":2},{"info":"compute binary expreesion, left_input=2420, right_input=-15420, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-35675","layer":1},{"info":"compute unary expreesion, input=-35675, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-71350","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10101001⪮%⊝⫏≰12102020⩷∴⫏≰10020201⇷⫏≰2202012⊭↱(⩦⩻⨪(⫏≰21021110↙⫏≰21001101)))⪐=⫏≰-10121212121","reverse_text":"⫏≰-10121212121=(⫏≰10101001⪮%⊝⫏≰12102020⩷∴⫏≰10020201⇷⫏≰2202012⊭↱(⩦⩻⨪(⫏≰21021110↙⫏≰21001101)))⪐","cot":[{"info":"⫏≰10101001⪮%⊝⫏≰12102020=⫏≰21011210","layer":3},{"info":"⫏≰10020201⇷⫏≰2202012=⫏≰12111101","layer":3},{"info":"⫏≰21011210⩷∴⫏≰12111101=⫏≰10022122","layer":2},{"info":"⫏≰21021110↙⫏≰21001101=⫏≰-210011010","layer":3},{"info":"⩦⩻⨪⫏≰-210011010=⫏≰-210011010","layer":2},{"info":"⫏≰10022122⊭↱⫏≰-210011010=⫏≰-1210221022","layer":1},{"info":"⫏≰-1210221022⪐=⫏≰-10121212121","layer":0}]}
{"id":862,"expression_no_base_symbol":"⩦⩻⨪((⫓⪴(-$3329$))⇼⇔∾($1233$≎⊠⪸$5313$⨸⪁$1281$⩷∴$1445$))","expression":"⩦⩻⨪((⫓⪴(-⫏≰11120022))⇼⇔∾(⫏≰1200200≎⊠⪸⫏≰21021210⨸⪁⫏≰1202110⩷∴⫏≰1222112))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3614,"operation_count":7,"complexity_ratio":516.2857142857143,"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":3329,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1233,"base":3},"right_expr":{"type":"numeric_atoms","value":5313,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1281,"base":3},"right_expr":{"type":"numeric_atoms","value":1445,"base":3}}}}},"used_operators":["2td37pGCOC","tifHPKVTfV","eLxqMNBOBk","t8gj7n24qd","g55IO6H4Gj","bJkvcejdHO","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z"],"result":"⫏≰-201122200010202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3329","layer":4},{"info":"compute unary expreesion, input=3329, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3329","layer":3},{"info":"compute unary expreesion, input=-3329, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11082241","layer":2},{"info":"number node, value=1233","layer":4},{"info":"number node, value=5313","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=5313, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=318874","layer":3},{"info":"number node, value=1281","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=1445, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-360","layer":3},{"info":"compute binary expreesion, left_input=318874, right_input=-360, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=637028","layer":2},{"info":"compute binary expreesion, left_input=11082241, right_input=637028, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-10445213","layer":1},{"info":"compute unary expreesion, input=-10445213, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-10445213","layer":0}],"base":3,"result_base":3,"text":"⩦⩻⨪((⫓⪴(-⫏≰11120022))⇼⇔∾(⫏≰1200200≎⊠⪸⫏≰21021210⨸⪁⫏≰1202110⩷∴⫏≰1222112))=⫏≰-201122200010202","reverse_text":"⫏≰-201122200010202=⩦⩻⨪((⫓⪴(-⫏≰11120022))⇼⇔∾(⫏≰1200200≎⊠⪸⫏≰21021210⨸⪁⫏≰1202110⩷∴⫏≰1222112))","cot":[{"info":"-⫏≰11120022=⫏≰-11120022","layer":3},{"info":"⫓⪴⫏≰-11120022=⫏≰202212000222101","layer":2},{"info":"⫏≰1200200≎⊠⪸⫏≰21021210=⫏≰121012102011","layer":3},{"info":"⫏≰1202110⩷∴⫏≰1222112=⫏≰-111100","layer":3},{"info":"⫏≰121012102011⨸⪁⫏≰-111100=⫏≰1012100211122","layer":2},{"info":"⫏≰202212000222101⇼⇔∾⫏≰1012100211122=⫏≰-201122200010202","layer":1},{"info":"⩦⩻⨪⫏≰-201122200010202=⫏≰-201122200010202","layer":0}]}
{"id":863,"expression_no_base_symbol":"⊥(((↽≂$2380$)⪒$2236$⨽$4777$)⊭∹↮)","expression":"⊥(((↽≂⫏≰10021011)⪒⫏≰10001211⨽⫏≰20112221)⊭∹↮)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2258,"operation_count":5,"complexity_ratio":451.6,"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":2380,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2236,"base":3},"right_expr":{"type":"numeric_atoms","value":4777,"base":3}}}}},"used_operators":["Q3PJZHRvZv","xNBdhnnwKq","f6k1SAg4EE","u6S6b8DprG","8HhzD0ZcuI"],"dependent_operators":["fu6greOZ01","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2380","layer":4},{"info":"compute unary expreesion, input=2380, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4760","layer":3},{"info":"number node, value=2236","layer":4},{"info":"number node, value=4777","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=4777, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-15012105","layer":3},{"info":"compute binary expreesion, left_input=-4760, right_input=-15012105, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=15016865","layer":2},{"info":"compute unary expreesion, input=15016865, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=30033730","layer":1},{"info":"compute unary expreesion, input=30033730, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊥(((↽≂⫏≰10021011)⪒⫏≰10001211⨽⫏≰20112221)⊭∹↮)=NaN","reverse_text":"NaN=⊥(((↽≂⫏≰10021011)⪒⫏≰10001211⨽⫏≰20112221)⊭∹↮)","cot":[{"info":"↽≂⫏≰10021011=⫏≰-20112022","layer":3},{"info":"⫏≰10001211⨽⫏≰20112221=⫏≰-1001020200201220","layer":3},{"info":"⫏≰-20112022⪒⫏≰-1001020200201220=⫏≰1001020221021012","layer":2},{"info":"⫏≰1001020221021012⊭∹↮=⫏≰2002111212112101","layer":1},{"info":"⊥⫏≰2002111212112101=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"(($2772$⨸⪁$1603$)⪘⫢$4234$⪛$6267$⇼⇔∾($1010$≹⇙⪍$7951$⩠))⪮%⊝((($1746$-$3187$)⫩⊇)⨳⩥⨓($2805$⨓$2529$⨵⪆$1267$∑⇟⊟$8979$))","expression":"((⫏≰10210200⨸⪁⫏≰2012101)⪘⫢⫏≰12210211⪛⫏≰22121010⇼⇔∾(⫏≰1101102≹⇙⪍⫏≰101220111⩠))⪮%⊝(((⫏≰2101200-⫏≰11101001)⫩⊇)⨳⩥⨓(⫏≰10211220⨓⫏≰10110200⨵⪆⫏≰1201221∑⇟⊟⫏≰110022120))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2595,"operation_count":13,"complexity_ratio":199.6153846153846,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2772,"base":3},"right_expr":{"type":"numeric_atoms","value":1603,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4234,"base":3},"right_expr":{"type":"numeric_atoms","value":6267,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1010,"base":3},"right_expr":{"type":"numeric_atoms","value":7951,"base":3}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1746,"base":3},"right_expr":{"type":"numeric_atoms","value":3187,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2805,"base":3},"right_expr":{"type":"numeric_atoms","value":2529,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1267,"base":3},"right_expr":{"type":"numeric_atoms","value":8979,"base":3}}}}},"used_operators":["IWmyXbctLI","tifHPKVTfV","oacrs7FA3X","g55IO6H4Gj","uFcxV4UQCh","sJAwomhLZr","AHs5Up7iyr","nCS4ZIUYfx","BjRHVeLaeN","rysDP5nf3Z","2DQ55sFlQl","3ViojmjbAp","U7g4x0WXJJ"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2772","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=2772, right_input=1603, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8750","layer":3},{"info":"number node, value=4234","layer":4},{"info":"number node, value=6267","layer":4},{"info":"compute binary expreesion, left_input=4234, right_input=6267, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4234","layer":3},{"info":"compute binary expreesion, left_input=8750, right_input=4234, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=17376","layer":2},{"info":"number node, value=1010","layer":4},{"info":"number node, value=7951","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=7951, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=17376, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1746","layer":4},{"info":"number node, value=3187","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=3187, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1441","layer":3},{"info":"compute unary expreesion, input=-1441, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=1483","layer":2},{"info":"number node, value=2805","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=2529, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2532","layer":3},{"info":"number node, value=1267","layer":4},{"info":"number node, value=8979","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=8979, 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=-2532, 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=1483, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1323","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1323, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10210200⨸⪁⫏≰2012101)⪘⫢⫏≰12210211⪛⫏≰22121010⇼⇔∾(⫏≰1101102≹⇙⪍⫏≰101220111⩠))⪮%⊝(((⫏≰2101200-⫏≰11101001)⫩⊇)⨳⩥⨓(⫏≰10211220⨓⫏≰10110200⨵⪆⫏≰1201221∑⇟⊟⫏≰110022120))=NaN","reverse_text":"NaN=((⫏≰10210200⨸⪁⫏≰2012101)⪘⫢⫏≰12210211⪛⫏≰22121010⇼⇔∾(⫏≰1101102≹⇙⪍⫏≰101220111⩠))⪮%⊝(((⫏≰2101200-⫏≰11101001)⫩⊇)⨳⩥⨓(⫏≰10211220⨓⫏≰10110200⨵⪆⫏≰1201221∑⇟⊟⫏≰110022120))","cot":[{"info":"⫏≰10210200⨸⪁⫏≰2012101=⫏≰110000002","layer":3},{"info":"⫏≰12210211⪛⫏≰22121010=⫏≰12210211","layer":3},{"info":"⫏≰110000002⪘⫢⫏≰12210211=⫏≰212211120","layer":2},{"info":"⫏≰1101102≹⇙⪍⫏≰101220111=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"⫏≰212211120⇼⇔∾NaN=NaN","layer":1},{"info":"⫏≰2101200-⫏≰11101001=⫏≰-1222101","layer":3},{"info":"⫏≰-1222101⫩⊇=⫏≰2000221","layer":2},{"info":"⫏≰10211220⨓⫏≰10110200=⫏≰-10110210","layer":3},{"info":"⫏≰1201221∑⇟⊟⫏≰110022120=NaN","layer":3},{"info":"⫏≰-10110210⨵⪆NaN=⫏≰12221","layer":2},{"info":"⫏≰2000221⨳⩥⨓⫏≰12221=⫏≰-1211000","layer":1},{"info":"NaN⪮%⊝⫏≰-1211000=NaN","layer":0}]}
{"id":865,"expression_no_base_symbol":"(($3228$⫸⊐$5109$)⋳⪒($2396$⊉≛↸$2937$)⫥∨⫟($2293$⪛$2948$↛⩡⫤))⩚⊴⇥((($1704$⨵⪆$3429$)⊘)≭(⨵≀≌$3272$)⨟⋌⩍($2879$∀⇚≩$2934$))","expression":"((⫏≰11102120⫸⊐⫏≰21000020)⋳⪒(⫏≰10021202⊉≛↸⫏≰11000210)⫥∨⫟(⫏≰10010221⪛⫏≰11001012↛⩡⫤))⩚⊴⇥(((⫏≰2100010⨵⪆⫏≰11201000)⊘)≭(⨵≀≌⫏≰11111012)⨟⋌⩍(⫏≰10221122∀⇚≩⫏≰11000200))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27385,"operation_count":13,"complexity_ratio":2106.5384615384614,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3228,"base":3},"right_expr":{"type":"numeric_atoms","value":5109,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2396,"base":3},"right_expr":{"type":"numeric_atoms","value":2937,"base":3}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2293,"base":3},"right_expr":{"type":"numeric_atoms","value":2948,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1704,"base":3},"right_expr":{"type":"numeric_atoms","value":3429,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3272,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2879,"base":3},"right_expr":{"type":"numeric_atoms","value":2934,"base":3}}}}},"used_operators":["NTOWxs364D","KYD54nUTWz","12rbrZMWeM","mqXw5SEYmG","DZ8iAZOCBD","FU0Cs4j7VP","uFcxV4UQCh","rxpJgHHUmx","gu96TGCTMs","2DQ55sFlQl","rGHVDoGpnC","srAu1WTS94","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3228","layer":4},{"info":"number node, value=5109","layer":4},{"info":"compute binary expreesion, left_input=3228, right_input=5109, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20311","layer":3},{"info":"number node, value=2396","layer":4},{"info":"number node, value=2937","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=2937, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4792","layer":3},{"info":"compute binary expreesion, left_input=20311, right_input=4792, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=35543","layer":2},{"info":"number node, value=2293","layer":4},{"info":"number node, value=2948","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=2948, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2293","layer":3},{"info":"compute unary expreesion, input=2293, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-342332","layer":2},{"info":"compute binary expreesion, left_input=35543, right_input=-342332, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1704","layer":4},{"info":"number node, value=3429","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=3429, 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 = 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=3272","layer":4},{"info":"compute unary expreesion, input=3272, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9816","layer":3},{"info":"number node, value=2879","layer":4},{"info":"number node, value=2934","layer":4},{"info":"compute binary expreesion, left_input=2879, right_input=2934, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-9816, 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=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 binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11102120⫸⊐⫏≰21000020)⋳⪒(⫏≰10021202⊉≛↸⫏≰11000210)⫥∨⫟(⫏≰10010221⪛⫏≰11001012↛⩡⫤))⩚⊴⇥(((⫏≰2100010⨵⪆⫏≰11201000)⊘)≭(⨵≀≌⫏≰11111012)⨟⋌⩍(⫏≰10221122∀⇚≩⫏≰11000200))=NaN","reverse_text":"NaN=((⫏≰11102120⫸⊐⫏≰21000020)⋳⪒(⫏≰10021202⊉≛↸⫏≰11000210)⫥∨⫟(⫏≰10010221⪛⫏≰11001012↛⩡⫤))⩚⊴⇥(((⫏≰2100010⨵⪆⫏≰11201000)⊘)≭(⨵≀≌⫏≰11111012)⨟⋌⩍(⫏≰10221122∀⇚≩⫏≰11000200))","cot":[{"info":"⫏≰11102120⫸⊐⫏≰21000020=⫏≰1000212021","layer":3},{"info":"⫏≰10021202⊉≛↸⫏≰11000210=⫏≰20120111","layer":3},{"info":"⫏≰1000212021⋳⪒⫏≰20120111=⫏≰1210202102","layer":2},{"info":"⫏≰10010221⪛⫏≰11001012=⫏≰10010221","layer":3},{"info":"⫏≰10010221↛⩡⫤=⫏≰-122101120222","layer":2},{"info":"⫏≰1210202102⫥∨⫟⫏≰-122101120222=NaN","layer":1},{"info":"⫏≰2100010⨵⪆⫏≰11201000=⫏≰12221","layer":3},{"info":"⫏≰12221⊘=⫏≰0","layer":2},{"info":"⨵≀≌⫏≰11111012=⫏≰-111110120","layer":3},{"info":"⫏≰10221122∀⇚≩⫏≰11000200=NaN","layer":3},{"info":"⫏≰-111110120⨟⋌⩍NaN=NaN","layer":2},{"info":"⫏≰0≭NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"($1109$⇼⇔∾$2874$⨸⪁($1869$∧)⨵⪆(⊥$5216$)⨳⩥⨓$4249$∑⇟⊟$1201$)⪮%⊝($5839$⋝⋈⪟$1552$⨸⪁($4629$≦≮≮))⪢(($1237$⪐)⨓($6386$%$4041$))","expression":"(⫏≰1112002⇼⇔∾⫏≰10221110⨸⪁(⫏≰2120020∧)⨵⪆(⊥⫏≰21011012)⨳⩥⨓⫏≰12211101∑⇟⊟⫏≰1122111)⪮%⊝(⫏≰22000021⋝⋈⪟⫏≰2010111⨸⪁(⫏≰20100110≦≮≮))⪢((⫏≰1200211⪐)⨓(⫏≰22202112%⫏≰12112200))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5312,"operation_count":15,"complexity_ratio":354.1333333333333,"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":1109,"base":3},"right_expr":{"type":"numeric_atoms","value":2874,"base":3}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1869,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5216,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4249,"base":3},"right_expr":{"type":"numeric_atoms","value":1201,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5839,"base":3},"right_expr":{"type":"numeric_atoms","value":1552,"base":3}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4629,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1237,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6386,"base":3},"right_expr":{"type":"numeric_atoms","value":4041,"base":3}}}}},"used_operators":["IWmyXbctLI","2DQ55sFlQl","g55IO6H4Gj","tifHPKVTfV","z63VuFQld9","nCS4ZIUYfx","Q3PJZHRvZv","U7g4x0WXJJ","dWAJyo7jo9","2DDjHMKMc0","D4vGDi5EA2","3ViojmjbAp","eH2TOUuTDT","k8jYdgA6NY"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1109","layer":4},{"info":"number node, value=2874","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=2874, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1765","layer":3},{"info":"number node, value=1869","layer":4},{"info":"compute unary expreesion, input=1869, 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=1765, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=5216","layer":4},{"info":"compute unary expreesion, input=5216, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=4249","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=4249, right_input=1201, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=5839","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=5839, right_input=1552, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5839","layer":3},{"info":"number node, value=4629","layer":4},{"info":"compute unary expreesion, input=4629, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13887","layer":3},{"info":"compute binary expreesion, left_input=5839, right_input=-13887, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-16096","layer":2},{"info":"number node, value=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2474","layer":3},{"info":"number node, value=6386","layer":4},{"info":"number node, value=4041","layer":4},{"info":"compute binary expreesion, left_input=6386, right_input=4041, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2345","layer":3},{"info":"compute binary expreesion, left_input=2474, right_input=2345, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2348","layer":2},{"info":"compute binary expreesion, left_input=-16096, right_input=-2348, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=160, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1112002⇼⇔∾⫏≰10221110⨸⪁(⫏≰2120020∧)⨵⪆(⊥⫏≰21011012)⨳⩥⨓⫏≰12211101∑⇟⊟⫏≰1122111)⪮%⊝(⫏≰22000021⋝⋈⪟⫏≰2010111⨸⪁(⫏≰20100110≦≮≮))⪢((⫏≰1200211⪐)⨓(⫏≰22202112%⫏≰12112200))=NaN","reverse_text":"NaN=(⫏≰1112002⇼⇔∾⫏≰10221110⨸⪁(⫏≰2120020∧)⨵⪆(⊥⫏≰21011012)⨳⩥⨓⫏≰12211101∑⇟⊟⫏≰1122111)⪮%⊝(⫏≰22000021⋝⋈⪟⫏≰2010111⨸⪁(⫏≰20100110≦≮≮))⪢((⫏≰1200211⪐)⨓(⫏≰22202112%⫏≰12112200))","cot":[{"info":"⫏≰1112002⇼⇔∾⫏≰10221110=⫏≰2102101","layer":3},{"info":"⫏≰2120020∧=NaN","layer":3},{"info":"⫏≰2102101⨸⪁NaN=NaN","layer":2},{"info":"⊥⫏≰21011012=NaN","layer":3},{"info":"⫏≰12211101∑⇟⊟⫏≰1122111=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⨵⪆NaN=⫏≰12221","layer":1},{"info":"⫏≰22000021⋝⋈⪟⫏≰2010111=⫏≰22000021","layer":3},{"info":"⫏≰20100110≦≮≮=⫏≰-201001100","layer":3},{"info":"⫏≰22000021⨸⪁⫏≰-201001100=⫏≰-211002011","layer":2},{"info":"⫏≰1200211⪐=⫏≰10101122","layer":3},{"info":"⫏≰22202112%⫏≰12112200=⫏≰10012212","layer":3},{"info":"⫏≰10101122⨓⫏≰10012212=⫏≰-10012222","layer":2},{"info":"⫏≰-211002011⪢⫏≰-10012222=NaN","layer":1},{"info":"⫏≰12221⪮%⊝NaN=NaN","layer":0}]}
{"id":867,"expression_no_base_symbol":"((↥$6125$)⪒$1133$⋥≓≎$5000$)∀⇚≩(+⊝⨔($1774$↬$4659$))∑⇟⊟((↯⪼(⋗⩬⋾$5741$))+(($2950$⨁⊸⫻)⊦⊿))","expression":"((↥⫏≰22101212)⪒⫏≰1112222⋥≓≎⫏≰20212012)∀⇚≩(+⊝⨔(⫏≰2102201↬⫏≰20101120))∑⇟⊟((↯⪼(⋗⩬⋾⫏≰21212122))+((⫏≰11001021⨁⊸⫻)⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62508,"operation_count":12,"complexity_ratio":5209.0,"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":6125,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1133,"base":3},"right_expr":{"type":"numeric_atoms","value":5000,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1774,"base":3},"right_expr":{"type":"numeric_atoms","value":4659,"base":3}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5741,"base":3}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2950,"base":3}}}}},"used_operators":["U7g4x0WXJJ","LRNGc0VcxI","f6k1SAg4EE","A8NUZmVepG","Qy55tPpLXF","DhbWaqg5eL","B5M0gjZbta","W4YGzv6Whe","8jW3W4yZS5","DpFCA1CohY","14qkJME0vr","glklzrTFfD"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6125","layer":4},{"info":"compute unary expreesion, input=6125, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=5","layer":3},{"info":"number node, value=1133","layer":4},{"info":"number node, value=5000","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=5000, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8900","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=8900, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8905","layer":2},{"info":"number node, value=1774","layer":4},{"info":"number node, value=4659","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=4659, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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=-8905, 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":1},{"info":"number node, value=5741","layer":4},{"info":"compute unary expreesion, input=5741, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17223","layer":3},{"info":"compute unary expreesion, input=-17223, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=33529","layer":2},{"info":"number node, value=2950","layer":4},{"info":"compute unary expreesion, input=2950, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2950","layer":3},{"info":"compute unary expreesion, input=2950, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8929","layer":2},{"info":"compute binary expreesion, left_input=33529, right_input=-8929, op_id = W4YGzv6Whe binary_op_definition= 'None', output=24600","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=24600, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↥⫏≰22101212)⪒⫏≰1112222⋥≓≎⫏≰20212012)∀⇚≩(+⊝⨔(⫏≰2102201↬⫏≰20101120))∑⇟⊟((↯⪼(⋗⩬⋾⫏≰21212122))+((⫏≰11001021⨁⊸⫻)⊦⊿))=NaN","reverse_text":"NaN=((↥⫏≰22101212)⪒⫏≰1112222⋥≓≎⫏≰20212012)∀⇚≩(+⊝⨔(⫏≰2102201↬⫏≰20101120))∑⇟⊟((↯⪼(⋗⩬⋾⫏≰21212122))+((⫏≰11001021⨁⊸⫻)⊦⊿))","cot":[{"info":"↥⫏≰22101212=⫏≰12","layer":3},{"info":"⫏≰1112222⋥≓≎⫏≰20212012=⫏≰110012122","layer":3},{"info":"⫏≰12⪒⫏≰110012122=⫏≰-110012211","layer":2},{"info":"⫏≰2102201↬⫏≰20101120=NaN","layer":3},{"info":"+⊝⨔NaN=⫏≰2002101","layer":2},{"info":"⫏≰-110012211∀⇚≩⫏≰2002101=NaN","layer":1},{"info":"⋗⩬⋾⫏≰21212122=⫏≰-212121220","layer":3},{"info":"↯⪼⫏≰-212121220=⫏≰1200222211","layer":2},{"info":"⫏≰11001021⨁⊸⫻=⫏≰11001021","layer":3},{"info":"⫏≰11001021⊦⊿=⫏≰-110020201","layer":2},{"info":"⫏≰1200222211+⫏≰-110020201=⫏≰1020202010","layer":1},{"info":"NaN∑⇟⊟⫏≰1020202010=NaN","layer":0}]}
{"id":868,"expression_no_base_symbol":"($1868$↺$2263$∲⫓(⊄⩳↩$4742$))+⇶⊼((≤/$2896$)⊪)/(∂($2318$⫡⨏$7188$+$5955$≹⇙⪍$7190$))","expression":"(⫏≰2120012↺⫏≰10002211∲⫓(⊄⩳↩⫏≰20111122))+⇶⊼((≤/⫏≰10222021)⊪)/(∂(⫏≰10011212⫡⨏⫏≰100212020+⫏≰22011120≹⇙⪍⫏≰100212022))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7272,"operation_count":11,"complexity_ratio":661.0909090909091,"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":1868,"base":3},"right_expr":{"type":"numeric_atoms","value":2263,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4742,"base":3}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2896,"base":3}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2318,"base":3},"right_expr":{"type":"numeric_atoms","value":7188,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5955,"base":3},"right_expr":{"type":"numeric_atoms","value":7190,"base":3}}}}},"used_operators":["XhwjNDsVaA","TpPTUOHfaN","i8ToyICDmI","7j4O788W3g","8w2t5hMYqp","zVYPLywUTj","eLAdDNolq6","Uaa54Peajs","W4YGzv6Whe","QMFrweE19q","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1868","layer":4},{"info":"number node, value=2263","layer":4},{"info":"compute binary expreesion, left_input=1868, right_input=2263, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2263","layer":3},{"info":"number node, value=4742","layer":4},{"info":"compute unary expreesion, input=4742, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14226","layer":3},{"info":"compute binary expreesion, left_input=2263, right_input=-14226, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=2263","layer":2},{"info":"number node, value=2896","layer":4},{"info":"compute unary expreesion, input=2896, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2412","layer":3},{"info":"compute unary expreesion, input=-2412, 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=58457654","layer":2},{"info":"compute binary expreesion, left_input=2263, right_input=58457654, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2318","layer":4},{"info":"number node, value=7188","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=7188, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=26749","layer":3},{"info":"number node, value=5955","layer":4},{"info":"number node, value=7190","layer":4},{"info":"compute binary expreesion, left_input=5955, right_input=7190, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=26749, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2120012↺⫏≰10002211∲⫓(⊄⩳↩⫏≰20111122))+⇶⊼((≤/⫏≰10222021)⊪)/(∂(⫏≰10011212⫡⨏⫏≰100212020+⫏≰22011120≹⇙⪍⫏≰100212022))=NaN","reverse_text":"NaN=(⫏≰2120012↺⫏≰10002211∲⫓(⊄⩳↩⫏≰20111122))+⇶⊼((≤/⫏≰10222021)⊪)/(∂(⫏≰10011212⫡⨏⫏≰100212020+⫏≰22011120≹⇙⪍⫏≰100212022))","cot":[{"info":"⫏≰2120012↺⫏≰10002211=⫏≰10002211","layer":3},{"info":"⊄⩳↩⫏≰20111122=⫏≰-201111220","layer":3},{"info":"⫏≰10002211∲⫓⫏≰-201111220=⫏≰10002211","layer":2},{"info":"≤/⫏≰10222021=⫏≰-10022100","layer":3},{"info":"⫏≰-10022100⊪=⫏≰11001222221211022","layer":2},{"info":"⫏≰10002211+⇶⊼⫏≰11001222221211022=NaN","layer":1},{"info":"⫏≰10011212⫡⨏⫏≰100212020=⫏≰1100200201","layer":3},{"info":"⫏≰22011120≹⇙⪍⫏≰100212022=NaN","layer":3},{"info":"⫏≰1100200201+NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":869,"expression_no_base_symbol":"((⨞⊢$1384$)⪄$3075$+⇶⊼$2061$*($1181$↪⪝)⨐⩸⫘($1865$⋫))⇷((($3224$⨟⋌⩍$1918$)∧)↛⩡⫤)","expression":"((⨞⊢⫏≰1220021)⪄⫏≰11012220+⇶⊼⫏≰2211100*(⫏≰1121202↪⪝)⨐⩸⫘(⫏≰2120002⋫))⇷(((⫏≰11102102⨟⋌⩍⫏≰2122001)∧)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2741,"operation_count":11,"complexity_ratio":249.1818181818182,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1384,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3075,"base":3},"right_expr":{"type":"numeric_atoms","value":2061,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1181,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1865,"base":3}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3224,"base":3},"right_expr":{"type":"numeric_atoms","value":1918,"base":3}}}}},"used_operators":["mp7IySMOzn","9HNa5Wba9A","SUmda5xLS4","xUOZtlo3hN","TpPTUOHfaN","fu6greOZ01","l07mrZUIn9","JL8yIekQnl","FU0Cs4j7VP","z63VuFQld9","rGHVDoGpnC"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","tmPS8pqC7x","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1384","layer":4},{"info":"compute unary expreesion, input=1384, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1558","layer":3},{"info":"number node, value=3075","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=3075, right_input=2061, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-1558, 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":"number node, value=1181","layer":4},{"info":"compute unary expreesion, input=1181, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=72255942","layer":3},{"info":"number node, value=1865","layer":4},{"info":"compute unary expreesion, input=1865, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1865","layer":3},{"info":"compute binary expreesion, left_input=72255942, right_input=1865, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3979, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3224","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=3224, right_input=1918, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨞⊢⫏≰1220021)⪄⫏≰11012220+⇶⊼⫏≰2211100*(⫏≰1121202↪⪝)⨐⩸⫘(⫏≰2120002⋫))⇷(((⫏≰11102102⨟⋌⩍⫏≰2122001)∧)↛⩡⫤)=NaN","reverse_text":"NaN=((⨞⊢⫏≰1220021)⪄⫏≰11012220+⇶⊼⫏≰2211100*(⫏≰1121202↪⪝)⨐⩸⫘(⫏≰2120002⋫))⇷(((⫏≰11102102⨟⋌⩍⫏≰2122001)∧)↛⩡⫤)","cot":[{"info":"⨞⊢⫏≰1220021=⫏≰-2010201","layer":3},{"info":"⫏≰11012220+⇶⊼⫏≰2211100=NaN","layer":3},{"info":"⫏≰-2010201⪄NaN=⫏≰12110101","layer":2},{"info":"⫏≰1121202↪⪝=⫏≰12000221222112000","layer":3},{"info":"⫏≰2120002⋫=⫏≰2120002","layer":3},{"info":"⫏≰12000221222112000⨐⩸⫘⫏≰2120002=NaN","layer":2},{"info":"⫏≰12110101*NaN=NaN","layer":1},{"info":"⫏≰11102102⨟⋌⩍⫏≰2122001=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":870,"expression_no_base_symbol":"(⇁⨣⪵$1180$⨰$3283$)⨟⋌⩍(⊥(⩦⩻⨪$5939$))⫸⊐(($1850$⋥≓≎$1226$)↬(↥$5774$))↬(($5334$⨁⊸⫻)⨳⩥⨓($2859$⪨≂$4169$))","expression":"(⇁⨣⪵⫏≰1121201⨰⫏≰11111121)⨟⋌⩍(⊥(⩦⩻⨪⫏≰22010222))⫸⊐((⫏≰2112112⋥≓≎⫏≰1200102)↬(↥⫏≰21220212))↬((⫏≰21022120⨁⊸⫻)⨳⩥⨓(⫏≰10220220⪨≂⫏≰12201102))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":144,"operation_count":13,"complexity_ratio":11.076923076923077,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1180,"base":3},"right_expr":{"type":"numeric_atoms","value":3283,"base":3}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5939,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1850,"base":3},"right_expr":{"type":"numeric_atoms","value":1226,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5774,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5334,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2859,"base":3},"right_expr":{"type":"numeric_atoms","value":4169,"base":3}}}}},"used_operators":["mqXw5SEYmG","rGHVDoGpnC","inkyxCbjAn","eewbuw0ToL","Q3PJZHRvZv","2td37pGCOC","B5M0gjZbta","Qy55tPpLXF","A8NUZmVepG","nCS4ZIUYfx","glklzrTFfD","sdazOOVcIp"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"number node, value=3283","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=3283, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2093","layer":3},{"info":"compute unary expreesion, input=-2093, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=5939","layer":4},{"info":"compute unary expreesion, input=5939, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5939","layer":3},{"info":"compute unary expreesion, input=5939, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1850","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=1226, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=635","layer":3},{"info":"number node, value=5774","layer":4},{"info":"compute unary expreesion, input=5774, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=11","layer":3},{"info":"compute binary expreesion, left_input=635, right_input=11, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5334","layer":4},{"info":"compute unary expreesion, input=5334, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5334","layer":3},{"info":"number node, value=2859","layer":4},{"info":"number node, value=4169","layer":4},{"info":"compute binary expreesion, left_input=2859, right_input=4169, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2518","layer":3},{"info":"compute binary expreesion, left_input=5334, right_input=-2518, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7852","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7852, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇁⨣⪵⫏≰1121201⨰⫏≰11111121)⨟⋌⩍(⊥(⩦⩻⨪⫏≰22010222))⫸⊐((⫏≰2112112⋥≓≎⫏≰1200102)↬(↥⫏≰21220212))↬((⫏≰21022120⨁⊸⫻)⨳⩥⨓(⫏≰10220220⪨≂⫏≰12201102))=NaN","reverse_text":"NaN=(⇁⨣⪵⫏≰1121201⨰⫏≰11111121)⨟⋌⩍(⊥(⩦⩻⨪⫏≰22010222))⫸⊐((⫏≰2112112⋥≓≎⫏≰1200102)↬(↥⫏≰21220212))↬((⫏≰21022120⨁⊸⫻)⨳⩥⨓(⫏≰10220220⪨≂⫏≰12201102))","cot":[{"info":"⫏≰1121201⨰⫏≰11111121=⫏≰-2212112","layer":3},{"info":"⇁⨣⪵⫏≰-2212112=NaN","layer":2},{"info":"⩦⩻⨪⫏≰22010222=⫏≰22010222","layer":3},{"info":"⊥⫏≰22010222=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⫏≰2112112⋥≓≎⫏≰1200102=⫏≰212112","layer":3},{"info":"↥⫏≰21220212=⫏≰102","layer":3},{"info":"⫏≰212112↬⫏≰102=NaN","layer":2},{"info":"⫏≰21022120⨁⊸⫻=⫏≰21022120","layer":3},{"info":"⫏≰10220220⪨≂⫏≰12201102=⫏≰-10110021","layer":3},{"info":"⫏≰21022120⨳⩥⨓⫏≰-10110021=⫏≰-101202211","layer":2},{"info":"NaN↬⫏≰-101202211=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":871,"expression_no_base_symbol":"($2031$⫥∨⫟$2608$+$2716$⋥≓≎$1270$)↬($5024$≦≮≮)∀⇚≩($1072$⪨≂$2915$)⫡⨏($2391$≧⫂∧$5434$⨁⊸⫻)⋝⋈⪟($1402$⇷$1820$⨰(⊥$3876$))","expression":"(⫏≰2210020⫥∨⫟⫏≰10120121+⫏≰10201121⋥≓≎⫏≰1202001)↬(⫏≰20220002≦≮≮)∀⇚≩(⫏≰1110201⪨≂⫏≰10222222)⫡⨏(⫏≰10021120≧⫂∧⫏≰21110021⨁⊸⫻)⋝⋈⪟(⫏≰1220221⇷⫏≰2111102⨰(⊥⫏≰12022120))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":125325,"operation_count":14,"complexity_ratio":8951.785714285714,"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":2031,"base":3},"right_expr":{"type":"numeric_atoms","value":2608,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2716,"base":3},"right_expr":{"type":"numeric_atoms","value":1270,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":5024,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1072,"base":3},"right_expr":{"type":"numeric_atoms","value":2915,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2391,"base":3},"right_expr":{"type":"numeric_atoms","value":5434,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1402,"base":3},"right_expr":{"type":"numeric_atoms","value":1820,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3876,"base":3}}}}},"used_operators":["QMFrweE19q","B5M0gjZbta","W4YGzv6Whe","KYD54nUTWz","Qy55tPpLXF","LRNGc0VcxI","D4vGDi5EA2","sdazOOVcIp","2DDjHMKMc0","glklzrTFfD","Ph9nP6C5qx","eewbuw0ToL","mp7IySMOzn","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2031","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=2608, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2716","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=2716, right_input=1270, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-143","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-143, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5024","layer":4},{"info":"compute unary expreesion, input=5024, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-15072","layer":3},{"info":"number node, value=1072","layer":4},{"info":"number node, value=2915","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=2915, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3584","layer":3},{"info":"compute binary expreesion, left_input=-15072, right_input=-3584, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2391","layer":4},{"info":"number node, value=5434","layer":4},{"info":"compute binary expreesion, left_input=2391, right_input=5434, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4961","layer":3},{"info":"compute unary expreesion, input=4961, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4961","layer":2},{"info":"number node, value=1402","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=1820, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3640","layer":3},{"info":"number node, value=3876","layer":4},{"info":"compute unary expreesion, input=3876, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3640, 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=4961, 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 = 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":3,"result_base":3,"text":"(⫏≰2210020⫥∨⫟⫏≰10120121+⫏≰10201121⋥≓≎⫏≰1202001)↬(⫏≰20220002≦≮≮)∀⇚≩(⫏≰1110201⪨≂⫏≰10222222)⫡⨏(⫏≰10021120≧⫂∧⫏≰21110021⨁⊸⫻)⋝⋈⪟(⫏≰1220221⇷⫏≰2111102⨰(⊥⫏≰12022120))=NaN","reverse_text":"NaN=(⫏≰2210020⫥∨⫟⫏≰10120121+⫏≰10201121⋥≓≎⫏≰1202001)↬(⫏≰20220002≦≮≮)∀⇚≩(⫏≰1110201⪨≂⫏≰10222222)⫡⨏(⫏≰10021120≧⫂∧⫏≰21110021⨁⊸⫻)⋝⋈⪟(⫏≰1220221⇷⫏≰2111102⨰(⊥⫏≰12022120))","cot":[{"info":"⫏≰2210020⫥∨⫟⫏≰10120121=NaN","layer":3},{"info":"⫏≰10201121⋥≓≎⫏≰1202001=⫏≰-12022","layer":3},{"info":"NaN+⫏≰-12022=NaN","layer":2},{"info":"⫏≰20220002≦≮≮=⫏≰-202200020","layer":3},{"info":"⫏≰1110201⪨≂⫏≰10222222=⫏≰-11220202","layer":3},{"info":"⫏≰-202200020∀⇚≩⫏≰-11220202=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⫏≰10021120≧⫂∧⫏≰21110021=⫏≰20210202","layer":3},{"info":"⫏≰20210202⨁⊸⫻=⫏≰20210202","layer":2},{"info":"⫏≰1220221⇷⫏≰2111102=⫏≰11222211","layer":3},{"info":"⊥⫏≰12022120=NaN","layer":3},{"info":"⫏≰11222211⨰NaN=NaN","layer":2},{"info":"⫏≰20210202⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":872,"expression_no_base_symbol":"((($3879$*$1993$)⊭∹↮)%($1675$⋳⪒$1913$)∀⇚≩($5459$⪄$4203$))↙(≉($6652$⩚⊴⇥$5467$)∑⇟⊟$4330$⪛$1152$)","expression":"(((⫏≰12022200*⫏≰2201211)⊭∹↮)%(⫏≰2022001⋳⪒⫏≰2121212)∀⇚≩(⫏≰21111012⪄⫏≰12202200))↙(≉(⫏≰100010101⩚⊴⇥⫏≰21111111)∑⇟⊟⫏≰12221101⪛⫏≰1120200)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":774095,"operation_count":11,"complexity_ratio":70372.27272727272,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3879,"base":3},"right_expr":{"type":"numeric_atoms","value":1993,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1675,"base":3},"right_expr":{"type":"numeric_atoms","value":1913,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5459,"base":3},"right_expr":{"type":"numeric_atoms","value":4203,"base":3}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6652,"base":3},"right_expr":{"type":"numeric_atoms","value":5467,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4330,"base":3},"right_expr":{"type":"numeric_atoms","value":1152,"base":3}}}}},"used_operators":["yyfyN0ffXY","k8jYdgA6NY","xNBdhnnwKq","9HNa5Wba9A","LRNGc0VcxI","12rbrZMWeM","SUmda5xLS4","e1ybzncUwg","U7g4x0WXJJ","NTOWxs364D","uFcxV4UQCh"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3879","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=3879, right_input=1993, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7730847","layer":3},{"info":"compute unary expreesion, input=7730847, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=15461694","layer":2},{"info":"number node, value=1675","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=1913, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1150","layer":3},{"info":"number node, value=5459","layer":4},{"info":"number node, value=4203","layer":4},{"info":"compute binary expreesion, left_input=5459, right_input=4203, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-820833","layer":3},{"info":"compute binary expreesion, left_input=1150, right_input=-820833, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=15461694, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6652","layer":4},{"info":"number node, value=5467","layer":4},{"info":"compute binary expreesion, left_input=6652, right_input=5467, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12240","layer":3},{"info":"number node, value=4330","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=4330, right_input=1152, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=874","layer":3},{"info":"compute binary expreesion, left_input=-12240, right_input=874, 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=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰12022200*⫏≰2201211)⊭∹↮)%(⫏≰2022001⋳⪒⫏≰2121212)∀⇚≩(⫏≰21111012⪄⫏≰12202200))↙(≉(⫏≰100010101⩚⊴⇥⫏≰21111111)∑⇟⊟⫏≰12221101⪛⫏≰1120200)=NaN","reverse_text":"NaN=(((⫏≰12022200*⫏≰2201211)⊭∹↮)%(⫏≰2022001⋳⪒⫏≰2121212)∀⇚≩(⫏≰21111012⪄⫏≰12202200))↙(≉(⫏≰100010101⩚⊴⇥⫏≰21111111)∑⇟⊟⫏≰12221101⪛⫏≰1120200)","cot":[{"info":"⫏≰12022200*⫏≰2201211=⫏≰112112202201200","layer":3},{"info":"⫏≰112112202201200⊭∹↮=⫏≰1002002112110100","layer":2},{"info":"⫏≰2022001⋳⪒⫏≰2121212=⫏≰1120121","layer":3},{"info":"⫏≰21111012⪄⫏≰12202200=⫏≰-1112200222020","layer":3},{"info":"⫏≰1120121∀⇚≩⫏≰-1112200222020=NaN","layer":2},{"info":"⫏≰1002002112110100%NaN=NaN","layer":1},{"info":"⫏≰100010101⩚⊴⇥⫏≰21111111=⫏≰-121210100","layer":3},{"info":"⫏≰12221101⪛⫏≰1120200=⫏≰1012101","layer":3},{"info":"⫏≰-121210100∑⇟⊟⫏≰1012101=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":873,"expression_no_base_symbol":"(($1662$⫩⊇)⨓($3497$↙$1751$)⩨($3495$+⇶⊼$5663$)⋝⋈⪟($5061$⫩⊇))∸","expression":"((⫏≰2021120⫩⊇)⨓(⫏≰11210112↙⫏≰2101212)⩨(⫏≰11210110+⇶⊼⫏≰21202202)⋝⋈⪟(⫏≰20221110⫩⊇))∸","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7202,"operation_count":8,"complexity_ratio":900.25,"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":1662,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3497,"base":3},"right_expr":{"type":"numeric_atoms","value":1751,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3495,"base":3},"right_expr":{"type":"numeric_atoms","value":5663,"base":3}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5061,"base":3}}}}},"used_operators":["o20kRiQErp","2DlMacCsIx","3ViojmjbAp","BjRHVeLaeN","yyfyN0ffXY","2DDjHMKMc0","TpPTUOHfaN"],"dependent_operators":["tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1662","layer":4},{"info":"compute unary expreesion, input=1662, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1620","layer":3},{"info":"number node, value=3497","layer":4},{"info":"number node, value=1751","layer":4},{"info":"compute binary expreesion, left_input=3497, right_input=1751, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5253","layer":3},{"info":"compute binary expreesion, left_input=-1620, right_input=-5253, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5256","layer":2},{"info":"number node, value=3495","layer":4},{"info":"number node, value=5663","layer":4},{"info":"compute binary expreesion, left_input=3495, right_input=5663, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=5061","layer":4},{"info":"compute unary expreesion, input=5061, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5019","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5019, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5256, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2021120⫩⊇)⨓(⫏≰11210112↙⫏≰2101212)⩨(⫏≰11210110+⇶⊼⫏≰21202202)⋝⋈⪟(⫏≰20221110⫩⊇))∸=⫏≰20120","reverse_text":"⫏≰20120=((⫏≰2021120⫩⊇)⨓(⫏≰11210112↙⫏≰2101212)⩨(⫏≰11210110+⇶⊼⫏≰21202202)⋝⋈⪟(⫏≰20221110⫩⊇))∸","cot":[{"info":"⫏≰2021120⫩⊇=⫏≰-2020000","layer":3},{"info":"⫏≰11210112↙⫏≰2101212=⫏≰-21012120","layer":3},{"info":"⫏≰-2020000⨓⫏≰-21012120=⫏≰-21012200","layer":2},{"info":"⫏≰11210110+⇶⊼⫏≰21202202=NaN","layer":3},{"info":"⫏≰20221110⫩⊇=⫏≰-20212220","layer":3},{"info":"NaN⋝⋈⪟⫏≰-20212220=NaN","layer":2},{"info":"⫏≰-21012200⩨NaN=NaN","layer":1},{"info":"NaN∸=⫏≰20120","layer":0}]}
{"id":874,"expression_no_base_symbol":"(↣≠⋷($6756$≭$5251$))⊭↱(⊄⩳↩($2865$∸))+(⊙↵-(⪝⪂⫅($3593$↺$2321$)))","expression":"(↣≠⋷(⫏≰100021020≭⫏≰21012111))⊭↱(⊄⩳↩(⫏≰10221010∸))+(⊙↵-(⪝⪂⫅(⫏≰11221002↺⫏≰10011222)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":341562,"operation_count":9,"complexity_ratio":37951.333333333336,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6756,"base":3},"right_expr":{"type":"numeric_atoms","value":5251,"base":3}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2865,"base":3}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3593,"base":3},"right_expr":{"type":"numeric_atoms","value":2321,"base":3}}}}},"used_operators":["W4YGzv6Whe","COABgblf1C","Asc51vEJeQ","rxpJgHHUmx","8w2t5hMYqp","o20kRiQErp","oWn0xqSxBt","XTarYq4gQB","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6756","layer":4},{"info":"number node, value=5251","layer":4},{"info":"compute binary expreesion, left_input=6756, right_input=5251, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2865","layer":4},{"info":"compute unary expreesion, input=2865, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-531","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-531, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=3593","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=3593, right_input=2321, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2321","layer":3},{"info":"compute unary expreesion, input=2321, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-341187","layer":2},{"info":"compute unary expreesion, input=-341187, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↣≠⋷(⫏≰100021020≭⫏≰21012111))⊭↱(⊄⩳↩(⫏≰10221010∸))+(⊙↵-(⪝⪂⫅(⫏≰11221002↺⫏≰10011222)))=NaN","reverse_text":"NaN=(↣≠⋷(⫏≰100021020≭⫏≰21012111))⊭↱(⊄⩳↩(⫏≰10221010∸))+(⊙↵-(⪝⪂⫅(⫏≰11221002↺⫏≰10011222)))","cot":[{"info":"⫏≰100021020≭⫏≰21012111=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⫏≰10221010∸=⫏≰20120","layer":3},{"info":"⊄⩳↩⫏≰20120=⫏≰-201200","layer":2},{"info":"NaN⊭↱⫏≰-201200=NaN","layer":1},{"info":"⫏≰11221002↺⫏≰10011222=⫏≰10011222","layer":3},{"info":"⪝⪂⫅⫏≰10011222=⫏≰-122100000120","layer":2},{"info":"⊙↵-⫏≰-122100000120=⫏≰21021","layer":1},{"info":"NaN+⫏≰21021=NaN","layer":0}]}
{"id":875,"expression_no_base_symbol":"(($1304$↙$3472$)⪘⫢($1671$⋫))⊴(($1021$⪘⫢$2603$)⪢($1236$⨰$3806$))↬(($2479$↺$2108$)≎⊠⪸$7662$⪘⫢$2734$)≹⇙⪍((⨈⫕$2599$)≹⇙⪍($1063$↬$1508$))","expression":"((⫏≰1210022↙⫏≰11202121)⪘⫢(⫏≰2021220⋫))⊴((⫏≰1101211⪘⫢⫏≰10120102)⪢(⫏≰1200210⨰⫏≰12012222))↬((⫏≰10101211↺⫏≰2220002)≎⊠⪸⫏≰101111210⪘⫢⫏≰10202021)≹⇙⪍((⨈⫕⫏≰10120021)≹⇙⪍(⫏≰1110101↬⫏≰2001212))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9411,"operation_count":15,"complexity_ratio":627.4,"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":1304,"base":3},"right_expr":{"type":"numeric_atoms","value":3472,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1671,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1021,"base":3},"right_expr":{"type":"numeric_atoms","value":2603,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1236,"base":3},"right_expr":{"type":"numeric_atoms","value":3806,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2479,"base":3},"right_expr":{"type":"numeric_atoms","value":2108,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7662,"base":3},"right_expr":{"type":"numeric_atoms","value":2734,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2599,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1063,"base":3},"right_expr":{"type":"numeric_atoms","value":1508,"base":3}}}}},"used_operators":["B5M0gjZbta","Nsiff2A1zJ","oacrs7FA3X","yyfyN0ffXY","JL8yIekQnl","dWAJyo7jo9","eewbuw0ToL","AHs5Up7iyr","bJkvcejdHO","7j4O788W3g","megm06wKyl"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","tmPS8pqC7x","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1304","layer":4},{"info":"number node, value=3472","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=3472, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10416","layer":3},{"info":"number node, value=1671","layer":4},{"info":"compute unary expreesion, input=1671, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1671","layer":3},{"info":"compute binary expreesion, left_input=-10416, right_input=1671, 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=1021","layer":4},{"info":"number node, value=2603","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=2603, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1918","layer":3},{"info":"number node, value=1236","layer":4},{"info":"number node, value=3806","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=3806, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2560","layer":3},{"info":"compute binary expreesion, left_input=1918, right_input=-2560, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-1, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2479","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=2479, right_input=2108, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2108","layer":3},{"info":"number node, value=7662","layer":4},{"info":"number node, value=2734","layer":4},{"info":"compute binary expreesion, left_input=7662, right_input=2734, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=15200","layer":3},{"info":"compute binary expreesion, left_input=2108, right_input=15200, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=545499","layer":2},{"info":"number node, value=2599","layer":4},{"info":"compute unary expreesion, input=2599, 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=1063","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=1508, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-21, 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=545499, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":3,"result_base":3,"text":"((⫏≰1210022↙⫏≰11202121)⪘⫢(⫏≰2021220⋫))⊴((⫏≰1101211⪘⫢⫏≰10120102)⪢(⫏≰1200210⨰⫏≰12012222))↬((⫏≰10101211↺⫏≰2220002)≎⊠⪸⫏≰101111210⪘⫢⫏≰10202021)≹⇙⪍((⨈⫕⫏≰10120021)≹⇙⪍(⫏≰1110101↬⫏≰2001212))=NaN","reverse_text":"NaN=((⫏≰1210022↙⫏≰11202121)⪘⫢(⫏≰2021220⋫))⊴((⫏≰1101211⪘⫢⫏≰10120102)⪢(⫏≰1200210⨰⫏≰12012222))↬((⫏≰10101211↺⫏≰2220002)≎⊠⪸⫏≰101111210⪘⫢⫏≰10202021)≹⇙⪍((⨈⫕⫏≰10120021)≹⇙⪍(⫏≰1110101↬⫏≰2001212))","cot":[{"info":"⫏≰1210022↙⫏≰11202121=⫏≰-112021210","layer":3},{"info":"⫏≰2021220⋫=⫏≰2021220","layer":3},{"info":"⫏≰-112021210⪘⫢⫏≰2021220=⫏≰-1","layer":2},{"info":"⫏≰1101211⪘⫢⫏≰10120102=⫏≰2122001","layer":3},{"info":"⫏≰1200210⨰⫏≰12012222=⫏≰-10111211","layer":3},{"info":"⫏≰2122001⪢⫏≰-10111211=NaN","layer":2},{"info":"⫏≰-1⊴NaN=NaN","layer":1},{"info":"⫏≰10101211↺⫏≰2220002=⫏≰2220002","layer":3},{"info":"⫏≰101111210⪘⫢⫏≰10202021=⫏≰202211222","layer":3},{"info":"⫏≰2220002≎⊠⪸⫏≰202211222=⫏≰1000201021200","layer":2},{"info":"⨈⫕⫏≰10120021=⫏≰-210","layer":3},{"info":"⫏≰1110101↬⫏≰2001212=NaN","layer":3},{"info":"⫏≰-210≹⇙⪍NaN=NaN","layer":2},{"info":"⫏≰1000201021200≹⇙⪍NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":876,"expression_no_base_symbol":"(($2260$≦≮≮)⊪)⨟⋌⩍($4452$⨸⪁$6096$%$1192$%$2600$)≋⫹","expression":"((⫏≰10002201≦≮≮)⊪)⨟⋌⩍(⫏≰20002220⨸⪁⫏≰22100210%⫏≰1122011%⫏≰10120022)≋⫹","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":24222,"operation_count":7,"complexity_ratio":3460.285714285714,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2260,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4452,"base":3},"right_expr":{"type":"numeric_atoms","value":6096,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1192,"base":3},"right_expr":{"type":"numeric_atoms","value":2600,"base":3}}}}},"used_operators":["N41Kp7NANJ","rGHVDoGpnC","zVYPLywUTj","D4vGDi5EA2","k8jYdgA6NY","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2260","layer":4},{"info":"compute unary expreesion, input=2260, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6780","layer":3},{"info":"compute unary expreesion, input=-6780, 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=460470902","layer":2},{"info":"number node, value=4452","layer":4},{"info":"number node, value=6096","layer":4},{"info":"compute binary expreesion, left_input=4452, right_input=6096, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21096","layer":3},{"info":"number node, value=1192","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=2600, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1192","layer":3},{"info":"compute binary expreesion, left_input=21096, right_input=1192, op_id = k8jYdgA6NY binary_op_definition= 'None', output=832","layer":2},{"info":"compute binary expreesion, left_input=460470902, right_input=832, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10002201≦≮≮)⊪)⨟⋌⩍(⫏≰20002220⨸⪁⫏≰22100210%⫏≰1122011%⫏≰10120022)≋⫹=NaN","reverse_text":"NaN=((⫏≰10002201≦≮≮)⊪)⨟⋌⩍(⫏≰20002220⨸⪁⫏≰22100210%⫏≰1122011%⫏≰10120022)≋⫹","cot":[{"info":"⫏≰10002201≦≮≮=⫏≰-100022010","layer":3},{"info":"⫏≰-100022010⊪=⫏≰1012002110100022212","layer":2},{"info":"⫏≰20002220⨸⪁⫏≰22100210=⫏≰1001221100","layer":3},{"info":"⫏≰1122011%⫏≰10120022=⫏≰1122011","layer":3},{"info":"⫏≰1001221100%⫏≰1122011=⫏≰1010211","layer":2},{"info":"⫏≰1012002110100022212⨟⋌⩍⫏≰1010211=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":877,"expression_no_base_symbol":"∂(($5209$⩚⊴⇥$4015$)⨰($2594$≎⊠⪸$1119$)⋫)","expression":"∂((⫏≰21010221⩚⊴⇥⫏≰12111201)⨰(⫏≰10120002≎⊠⪸⫏≰1112110)⋫)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":681404,"operation_count":5,"complexity_ratio":136280.8,"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":5209,"base":3},"right_expr":{"type":"numeric_atoms","value":4015,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2594,"base":3},"right_expr":{"type":"numeric_atoms","value":1119,"base":3}}}}},"used_operators":["Uaa54Peajs","JL8yIekQnl","eewbuw0ToL","NTOWxs364D","bJkvcejdHO"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫏≰1021120101122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5209","layer":4},{"info":"number node, value=4015","layer":4},{"info":"compute binary expreesion, left_input=5209, right_input=4015, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9345","layer":3},{"info":"number node, value=2594","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=1119, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=671373","layer":3},{"info":"compute binary expreesion, left_input=-9345, right_input=671373, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-680708","layer":2},{"info":"compute unary expreesion, input=-680708, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-680708","layer":1},{"info":"compute unary expreesion, input=-680708, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=680444","layer":0}],"base":3,"result_base":3,"text":"∂((⫏≰21010221⩚⊴⇥⫏≰12111201)⨰(⫏≰10120002≎⊠⪸⫏≰1112110)⋫)=⫏≰1021120101122","reverse_text":"⫏≰1021120101122=∂((⫏≰21010221⩚⊴⇥⫏≰12111201)⨰(⫏≰10120002≎⊠⪸⫏≰1112110)⋫)","cot":[{"info":"⫏≰21010221⩚⊴⇥⫏≰12111201=⫏≰-110211010","layer":3},{"info":"⫏≰10120002≎⊠⪸⫏≰1112110=⫏≰1021002221200","layer":3},{"info":"⫏≰-110211010⨰⫏≰1021002221200=⫏≰-1021120202102","layer":2},{"info":"⫏≰-1021120202102⋫=⫏≰-1021120202102","layer":1},{"info":"∂⫏≰-1021120202102=⫏≰1021120101122","layer":0}]}
{"id":878,"expression_no_base_symbol":"(⊄⩳↩(∂$3488$))⋳⪒((⇁⨣⪵$1417$)⪨≂$1013$∑⇟⊟$2716$)⇼⇔∾($1610$⨸⪁$5299$%(∥⊫$1437$))⨰($6134$⋓$3600$)⪛(≉$2833$)","expression":"(⊄⩳↩(∂⫏≰11210012))⋳⪒((⇁⨣⪵⫏≰1221111)⪨≂⫏≰1101112∑⇟⊟⫏≰10201121)⇼⇔∾(⫏≰2012122⨸⪁⫏≰21021021%(∥⊫⫏≰1222020))⨰(⫏≰22102012⋓⫏≰11221100)⪛(≉⫏≰10212221)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":57,"operation_count":14,"complexity_ratio":4.071428571428571,"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":3488,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1417,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1013,"base":3},"right_expr":{"type":"numeric_atoms","value":2716,"base":3}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1610,"base":3},"right_expr":{"type":"numeric_atoms","value":5299,"base":3}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1437,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6134,"base":3},"right_expr":{"type":"numeric_atoms","value":3600,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2833,"base":3}}}}},"used_operators":["tifHPKVTfV","12rbrZMWeM","8w2t5hMYqp","Uaa54Peajs","sdazOOVcIp","inkyxCbjAn","U7g4x0WXJJ","eewbuw0ToL","k8jYdgA6NY","g55IO6H4Gj","P8v4zCKN1o","uFcxV4UQCh","T2fj7uvVaJ","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3488","layer":4},{"info":"compute unary expreesion, input=3488, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1417","layer":4},{"info":"compute unary expreesion, input=1417, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1013","layer":4},{"info":"number node, value=2716","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=2716, 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 = 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=1610","layer":4},{"info":"number node, value=5299","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=5299, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13818","layer":3},{"info":"number node, value=1437","layer":4},{"info":"compute unary expreesion, input=1437, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2305","layer":3},{"info":"compute binary expreesion, left_input=13818, right_input=2305, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2293","layer":2},{"info":"number node, value=6134","layer":4},{"info":"number node, value=3600","layer":4},{"info":"compute binary expreesion, left_input=6134, right_input=3600, op_id = T2fj7uvVaJ 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=2833","layer":4},{"info":"compute unary expreesion, input=2833, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3364","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3364, 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=2293, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2303","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2303, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊄⩳↩(∂⫏≰11210012))⋳⪒((⇁⨣⪵⫏≰1221111)⪨≂⫏≰1101112∑⇟⊟⫏≰10201121)⇼⇔∾(⫏≰2012122⨸⪁⫏≰21021021%(∥⊫⫏≰1222020))⨰(⫏≰22102012⋓⫏≰11221100)⪛(≉⫏≰10212221)=NaN","reverse_text":"NaN=(⊄⩳↩(∂⫏≰11210012))⋳⪒((⇁⨣⪵⫏≰1221111)⪨≂⫏≰1101112∑⇟⊟⫏≰10201121)⇼⇔∾(⫏≰2012122⨸⪁⫏≰21021021%(∥⊫⫏≰1222020))⨰(⫏≰22102012⋓⫏≰11221100)⪛(≉⫏≰10212221)","cot":[{"info":"∂⫏≰11210012=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⇁⨣⪵⫏≰1221111=NaN","layer":3},{"info":"⫏≰1101112∑⇟⊟⫏≰10201121=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⫏≰2012122⨸⪁⫏≰21021021=⫏≰200221210","layer":3},{"info":"∥⊫⫏≰1222020=⫏≰10011101","layer":3},{"info":"⫏≰200221210%⫏≰10011101=⫏≰10010221","layer":2},{"info":"⫏≰22102012⋓⫏≰11221100=⫏≰0","layer":3},{"info":"≉⫏≰10212221=⫏≰11121121","layer":3},{"info":"⫏≰0⪛⫏≰11121121=⫏≰0","layer":2},{"info":"⫏≰10010221⨰⫏≰0=⫏≰10011022","layer":1},{"info":"NaN⇼⇔∾⫏≰10011022=NaN","layer":0}]}
{"id":879,"expression_no_base_symbol":"(≤/(+⊝⨔$5520$))⋝⋈⪟$7088$⪘⫢$3703$∑⇟⊟($1208$⨰$1926$)%(↣≠⋷(⋗⩬⋾(⨑⩽⪐$5295$)))","expression":"(≤/(+⊝⨔⫏≰21120110))⋝⋈⪟⫏≰100201112⪘⫢⫏≰12002011∑⇟⊟(⫏≰1122202⨰⫏≰2122100)%(↣≠⋷(⋗⩬⋾(⨑⩽⪐⫏≰21021010)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":502657,"operation_count":10,"complexity_ratio":50265.7,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5520,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7088,"base":3},"right_expr":{"type":"numeric_atoms","value":3703,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1208,"base":3},"right_expr":{"type":"numeric_atoms","value":1926,"base":3}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5295,"base":3}}}}},"used_operators":["k8jYdgA6NY","2DDjHMKMc0","eLAdDNolq6","DhbWaqg5eL","U7g4x0WXJJ","oacrs7FA3X","eewbuw0ToL","Asc51vEJeQ","DpFCA1CohY","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5520","layer":4},{"info":"compute unary expreesion, input=5520, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1038","layer":2},{"info":"number node, value=7088","layer":4},{"info":"number node, value=3703","layer":4},{"info":"compute binary expreesion, left_input=7088, right_input=3703, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14052","layer":3},{"info":"number node, value=1208","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=1926, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-708","layer":3},{"info":"compute binary expreesion, left_input=14052, right_input=-708, 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=-1038, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=5295","layer":4},{"info":"compute unary expreesion, input=5295, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5022","layer":3},{"info":"compute unary expreesion, input=-5022, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=15066","layer":2},{"info":"compute unary expreesion, input=15066, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≤/(+⊝⨔⫏≰21120110))⋝⋈⪟⫏≰100201112⪘⫢⫏≰12002011∑⇟⊟(⫏≰1122202⨰⫏≰2122100)%(↣≠⋷(⋗⩬⋾(⨑⩽⪐⫏≰21021010)))=NaN","reverse_text":"NaN=(≤/(+⊝⨔⫏≰21120110))⋝⋈⪟⫏≰100201112⪘⫢⫏≰12002011∑⇟⊟(⫏≰1122202⨰⫏≰2122100)%(↣≠⋷(⋗⩬⋾(⨑⩽⪐⫏≰21021010)))","cot":[{"info":"+⊝⨔⫏≰21120110=⫏≰2002101","layer":3},{"info":"≤/⫏≰2002101=⫏≰-1102110","layer":2},{"info":"⫏≰100201112⪘⫢⫏≰12002011=⫏≰201021110","layer":3},{"info":"⫏≰1122202⨰⫏≰2122100=⫏≰-222020","layer":3},{"info":"⫏≰201021110∑⇟⊟⫏≰-222020=NaN","layer":2},{"info":"⫏≰-1102110⋝⋈⪟NaN=NaN","layer":1},{"info":"⨑⩽⪐⫏≰21021010=⫏≰-20220000","layer":3},{"info":"⋗⩬⋾⫏≰-20220000=⫏≰202200000","layer":2},{"info":"↣≠⋷⫏≰202200000=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":880,"expression_no_base_symbol":"⋗⩬⋾(($1000$∑⇟⊟$3646$)⪘⫢($1560$⩨$4080$))⨪↰⇹(∂(+⊝⨔$5012$))","expression":"⋗⩬⋾((⫏≰1101001∑⇟⊟⫏≰12000001)⪘⫢(⫏≰2010210⩨⫏≰12121010))⨪↰⇹(∂(+⊝⨔⫏≰20212122))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":60,"operation_count":7,"complexity_ratio":8.571428571428571,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1000,"base":3},"right_expr":{"type":"numeric_atoms","value":3646,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1560,"base":3},"right_expr":{"type":"numeric_atoms","value":4080,"base":3}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5012,"base":3}}}}},"used_operators":["DpFCA1CohY","tmPS8pqC7x","oacrs7FA3X","U7g4x0WXJJ","2DlMacCsIx","Uaa54Peajs","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=3646","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=3646, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1560","layer":4},{"info":"number node, value=4080","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=4080, 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 = 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=5012","layer":4},{"info":"compute unary expreesion, input=5012, 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":"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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⋗⩬⋾((⫏≰1101001∑⇟⊟⫏≰12000001)⪘⫢(⫏≰2010210⩨⫏≰12121010))⨪↰⇹(∂(+⊝⨔⫏≰20212122))=NaN","reverse_text":"NaN=⋗⩬⋾((⫏≰1101001∑⇟⊟⫏≰12000001)⪘⫢(⫏≰2010210⩨⫏≰12121010))⨪↰⇹(∂(+⊝⨔⫏≰20212122))","cot":[{"info":"⫏≰1101001∑⇟⊟⫏≰12000001=NaN","layer":3},{"info":"⫏≰2010210⩨⫏≰12121010=⫏≰-20","layer":3},{"info":"NaN⪘⫢⫏≰-20=NaN","layer":2},{"info":"+⊝⨔⫏≰20212122=⫏≰2002101","layer":3},{"info":"∂⫏≰2002101=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":881,"expression_no_base_symbol":"(⪲⇎$7748$∀⇚≩$4344$)⨽(↽≂$3122$)⪘⫢($1301$↙$9296$)⨳⩥⨓(($1900$⊭↱$4039$%($8214$⫡⨏$3365$))∧)","expression":"(⪲⇎⫏≰101121222∀⇚≩⫏≰12221220)⨽(↽≂⫏≰11021122)⪘⫢(⫏≰1210012↙⫏≰110202022)⨳⩥⨓((⫏≰2121101⊭↱⫏≰12112121%(⫏≰102021020⫡⨏⫏≰11121122))∧)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":63582,"operation_count":11,"complexity_ratio":5780.181818181818,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7748,"base":3},"right_expr":{"type":"numeric_atoms","value":4344,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3122,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1301,"base":3},"right_expr":{"type":"numeric_atoms","value":9296,"base":3}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1900,"base":3},"right_expr":{"type":"numeric_atoms","value":4039,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8214,"base":3},"right_expr":{"type":"numeric_atoms","value":3365,"base":3}}}}},"used_operators":["nCS4ZIUYfx","8HhzD0ZcuI","XPYlsWDdGa","LRNGc0VcxI","oacrs7FA3X","u6S6b8DprG","yyfyN0ffXY","z63VuFQld9","k8jYdgA6NY","COABgblf1C","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7748","layer":4},{"info":"number node, value=4344","layer":4},{"info":"compute binary expreesion, left_input=7748, right_input=4344, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":"number node, value=3122","layer":4},{"info":"compute unary expreesion, input=3122, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6244","layer":3},{"info":"number node, value=1301","layer":4},{"info":"number node, value=9296","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=9296, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-27888","layer":3},{"info":"compute binary expreesion, left_input=-6244, right_input=-27888, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=1900","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=1900, right_input=4039, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4283","layer":3},{"info":"number node, value=8214","layer":4},{"info":"number node, value=3365","layer":4},{"info":"compute binary expreesion, left_input=8214, right_input=3365, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=48583","layer":3},{"info":"compute binary expreesion, left_input=4283, right_input=48583, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4283","layer":2},{"info":"compute unary expreesion, input=4283, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⪲⇎⫏≰101121222∀⇚≩⫏≰12221220)⨽(↽≂⫏≰11021122)⪘⫢(⫏≰1210012↙⫏≰110202022)⨳⩥⨓((⫏≰2121101⊭↱⫏≰12112121%(⫏≰102021020⫡⨏⫏≰11121122))∧)=NaN","reverse_text":"NaN=(⪲⇎⫏≰101121222∀⇚≩⫏≰12221220)⨽(↽≂⫏≰11021122)⪘⫢(⫏≰1210012↙⫏≰110202022)⨳⩥⨓((⫏≰2121101⊭↱⫏≰12112121%(⫏≰102021020⫡⨏⫏≰11121122))∧)","cot":[{"info":"⫏≰101121222∀⇚≩⫏≰12221220=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"↽≂⫏≰11021122=⫏≰-22120021","layer":3},{"info":"⫏≰1210012↙⫏≰110202022=⫏≰-1102020220","layer":3},{"info":"⫏≰-22120021⪘⫢⫏≰-1102020220=⫏≰-1","layer":2},{"info":"NaN⨽⫏≰-1=NaN","layer":1},{"info":"⫏≰2121101⊭↱⫏≰12112121=⫏≰12212122","layer":3},{"info":"⫏≰102021020⫡⨏⫏≰11121122=⫏≰2110122101","layer":3},{"info":"⫏≰12212122%⫏≰2110122101=⫏≰12212122","layer":2},{"info":"⫏≰12212122∧=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":882,"expression_no_base_symbol":"(($3699$∲⫓$1678$)⇼⇔∾$1227$↺$2903$)⪘⫢($1771$⨪↰⇹$1817$)⨪↰⇹(-$5783$)⇋≉","expression":"((⫏≰12002000∲⫓⫏≰2022011)⇼⇔∾⫏≰1200110↺⫏≰10222112)⪘⫢(⫏≰2102121⨪↰⇹⫏≰2111022)⨪↰⇹(-⫏≰21221012)⇋≉","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3567,"operation_count":8,"complexity_ratio":445.875,"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":3699,"base":3},"right_expr":{"type":"numeric_atoms","value":1678,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1227,"base":3},"right_expr":{"type":"numeric_atoms","value":2903,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1771,"base":3},"right_expr":{"type":"numeric_atoms","value":1817,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5783,"base":3}}}}},"used_operators":["XIabStNQrY","oacrs7FA3X","tifHPKVTfV","i8ToyICDmI","7j4O788W3g","tmPS8pqC7x","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"⫏≰120110021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3699","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=1678, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1227","layer":4},{"info":"number node, value=2903","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=2903, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2903","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2903, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2903","layer":2},{"info":"number node, value=1771","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=1771, right_input=1817, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1771","layer":3},{"info":"number node, value=5783","layer":4},{"info":"compute unary expreesion, input=5783, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5783","layer":3},{"info":"compute binary expreesion, left_input=1771, right_input=-5783, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1771","layer":2},{"info":"compute binary expreesion, left_input=2903, right_input=1771, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5682","layer":1},{"info":"compute unary expreesion, input=5682, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=11266","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12002000∲⫓⫏≰2022011)⇼⇔∾⫏≰1200110↺⫏≰10222112)⪘⫢(⫏≰2102121⨪↰⇹⫏≰2111022)⨪↰⇹(-⫏≰21221012)⇋≉=⫏≰120110021","reverse_text":"⫏≰120110021=((⫏≰12002000∲⫓⫏≰2022011)⇼⇔∾⫏≰1200110↺⫏≰10222112)⪘⫢(⫏≰2102121⨪↰⇹⫏≰2111022)⨪↰⇹(-⫏≰21221012)⇋≉","cot":[{"info":"⫏≰12002000∲⫓⫏≰2022011=⫏≰0","layer":3},{"info":"⫏≰1200110↺⫏≰10222112=⫏≰10222112","layer":3},{"info":"⫏≰0⇼⇔∾⫏≰10222112=⫏≰10222112","layer":2},{"info":"⫏≰2102121⨪↰⇹⫏≰2111022=⫏≰2102121","layer":3},{"info":"-⫏≰21221012=⫏≰-21221012","layer":3},{"info":"⫏≰2102121⨪↰⇹⫏≰-21221012=⫏≰2102121","layer":2},{"info":"⫏≰10222112⪘⫢⫏≰2102121=⫏≰21210110","layer":1},{"info":"⫏≰21210110⇋≉=⫏≰120110021","layer":0}]}
{"id":883,"expression_no_base_symbol":"((($1278$⫸⊐$5905$)≹⇙⪍($6565$∲⫓$3829$))∧)⋳⪒(⋗⩬⋾$3014$⪘⫢$1378$)∑⇟⊟(⊄⩳↩($2088$⨽$1026$))","expression":"(((⫏≰1202100⫸⊐⫏≰22002201)≹⇙⪍(⫏≰100000011∲⫓⫏≰12020211))∧)⋳⪒(⋗⩬⋾⫏≰11010122⪘⫢⫏≰1220001)∑⇟⊟(⊄⩳↩(⫏≰2212100⨽⫏≰1102000))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2159,"operation_count":10,"complexity_ratio":215.9,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1278,"base":3},"right_expr":{"type":"numeric_atoms","value":5905,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6565,"base":3},"right_expr":{"type":"numeric_atoms","value":3829,"base":3}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3014,"base":3},"right_expr":{"type":"numeric_atoms","value":1378,"base":3}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2088,"base":3},"right_expr":{"type":"numeric_atoms","value":1026,"base":3}}}}},"used_operators":["12rbrZMWeM","z63VuFQld9","AHs5Up7iyr","mqXw5SEYmG","i8ToyICDmI","U7g4x0WXJJ","DpFCA1CohY","oacrs7FA3X","8w2t5hMYqp","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1278","layer":4},{"info":"number node, value=5905","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=5905, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23495","layer":3},{"info":"number node, value=6565","layer":4},{"info":"number node, value=3829","layer":4},{"info":"compute binary expreesion, left_input=6565, right_input=3829, 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=23495, 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=23495","layer":2},{"info":"compute unary expreesion, input=23495, 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=3014","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=3014, right_input=1378, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5904","layer":3},{"info":"compute unary expreesion, input=5904, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17712","layer":2},{"info":"number node, value=2088","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=1026, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13080996","layer":3},{"info":"compute unary expreesion, input=-13080996, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=39242988","layer":2},{"info":"compute binary expreesion, left_input=-17712, right_input=39242988, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1202100⫸⊐⫏≰22002201)≹⇙⪍(⫏≰100000011∲⫓⫏≰12020211))∧)⋳⪒(⋗⩬⋾⫏≰11010122⪘⫢⫏≰1220001)∑⇟⊟(⊄⩳↩(⫏≰2212100⨽⫏≰1102000))=NaN","reverse_text":"NaN=(((⫏≰1202100⫸⊐⫏≰22002201)≹⇙⪍(⫏≰100000011∲⫓⫏≰12020211))∧)⋳⪒(⋗⩬⋾⫏≰11010122⪘⫢⫏≰1220001)∑⇟⊟(⊄⩳↩(⫏≰2212100⨽⫏≰1102000))","cot":[{"info":"⫏≰1202100⫸⊐⫏≰22002201=⫏≰1012020012","layer":3},{"info":"⫏≰100000011∲⫓⫏≰12020211=⫏≰0","layer":3},{"info":"⫏≰1012020012≹⇙⪍⫏≰0=⫏≰1012020012","layer":2},{"info":"⫏≰1012020012∧=NaN","layer":1},{"info":"⫏≰11010122⪘⫢⫏≰1220001=⫏≰22002200","layer":3},{"info":"⋗⩬⋾⫏≰22002200=⫏≰-220022000","layer":2},{"info":"⫏≰2212100⨽⫏≰1102000=⫏≰-220121120202100","layer":3},{"info":"⊄⩳↩⫏≰-220121120202100=⫏≰2201211202021000","layer":2},{"info":"⫏≰-220022000∑⇟⊟⫏≰2201211202021000=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":884,"expression_no_base_symbol":"(↣≠⋷($1113$∀⇚≩$4137$≎⊠⪸($1006$⫡⨏$8538$)))⇼⇔∾((⨰⫟⨤($2551$⨐⩸⫘$1617$))⩨($5654$⨽$1181$⩨($1021$⩨$1224$)))","expression":"(↣≠⋷(⫏≰1112020∀⇚≩⫏≰12200020≎⊠⪸(⫏≰1101021⫡⨏⫏≰102201020)))⇼⇔∾((⨰⫟⨤(⫏≰10111111⨐⩸⫘⫏≰2012220))⩨(⫏≰21202102⨽⫏≰1121202⩨(⫏≰1101211⩨⫏≰1200100)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":13520,"operation_count":11,"complexity_ratio":1229.090909090909,"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":1113,"base":3},"right_expr":{"type":"numeric_atoms","value":4137,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1006,"base":3},"right_expr":{"type":"numeric_atoms","value":8538,"base":3}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2551,"base":3},"right_expr":{"type":"numeric_atoms","value":1617,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5654,"base":3},"right_expr":{"type":"numeric_atoms","value":1181,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1021,"base":3},"right_expr":{"type":"numeric_atoms","value":1224,"base":3}}}}},"used_operators":["tifHPKVTfV","Asc51vEJeQ","bJkvcejdHO","LRNGc0VcxI","QMFrweE19q","2DlMacCsIx","Tw270M8GLb","fu6greOZ01","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1113","layer":4},{"info":"number node, value=4137","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=4137, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1006","layer":4},{"info":"number node, value=8538","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=8538, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22889","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=22889, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪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":"number node, value=2551","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=1617, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=5654","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=5654, right_input=1181, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-95905377","layer":3},{"info":"number node, value=1021","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1224, 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=-95905377, right_input=-3, 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 = 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↣≠⋷(⫏≰1112020∀⇚≩⫏≰12200020≎⊠⪸(⫏≰1101021⫡⨏⫏≰102201020)))⇼⇔∾((⨰⫟⨤(⫏≰10111111⨐⩸⫘⫏≰2012220))⩨(⫏≰21202102⨽⫏≰1121202⩨(⫏≰1101211⩨⫏≰1200100)))=NaN","reverse_text":"NaN=(↣≠⋷(⫏≰1112020∀⇚≩⫏≰12200020≎⊠⪸(⫏≰1101021⫡⨏⫏≰102201020)))⇼⇔∾((⨰⫟⨤(⫏≰10111111⨐⩸⫘⫏≰2012220))⩨(⫏≰21202102⨽⫏≰1121202⩨(⫏≰1101211⩨⫏≰1200100)))","cot":[{"info":"⫏≰1112020∀⇚≩⫏≰12200020=NaN","layer":3},{"info":"⫏≰1101021⫡⨏⫏≰102201020=⫏≰1011101202","layer":3},{"info":"NaN≎⊠⪸⫏≰1011101202=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⫏≰10111111⨐⩸⫘⫏≰2012220=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⫏≰21202102⨽⫏≰1121202=⫏≰-20200110111110000","layer":3},{"info":"⫏≰1101211⩨⫏≰1200100=⫏≰-10","layer":3},{"info":"⫏≰-20200110111110000⩨⫏≰-10=⫏≰0","layer":2},{"info":"NaN⩨⫏≰0=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":885,"expression_no_base_symbol":"((↯⪼$2224$)≭(⪝⪂⫅$4817$)≋⫹)⨽$4420$⫥∨⫟$2757$⋳⪒($7847$⨐⩸⫘$4758$)⨎(∂$2759$)⨪↰⇹$1930$⨪↰⇹$2014$","expression":"((↯⪼⫏≰10001101)≭(⪝⪂⫅⫏≰20121102)≋⫹)⨽⫏≰20001201⫥∨⫟⫏≰10210010⋳⪒(⫏≰101202122⨐⩸⫘⫏≰20112020)⨎(∂⫏≰10210012)⨪↰⇹⫏≰2122111⨪↰⇹⫏≰2202121","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2290,"operation_count":12,"complexity_ratio":190.83333333333334,"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":2224,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4817,"base":3}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4420,"base":3},"right_expr":{"type":"numeric_atoms","value":2757,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7847,"base":3},"right_expr":{"type":"numeric_atoms","value":4758,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2759,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1930,"base":3},"right_expr":{"type":"numeric_atoms","value":2014,"base":3}}}}},"used_operators":["8HhzD0ZcuI","N41Kp7NANJ","rxpJgHHUmx","8jW3W4yZS5","XTarYq4gQB","rJVOvQCfKK","12rbrZMWeM","KYD54nUTWz","fu6greOZ01","tmPS8pqC7x","Uaa54Peajs"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","rJVOvQCfKK","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2224","layer":4},{"info":"compute unary expreesion, input=2224, 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=4817","layer":4},{"info":"compute unary expreesion, input=4817, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-708099","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-708099, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=4420","layer":4},{"info":"number node, value=2757","layer":4},{"info":"compute binary expreesion, left_input=4420, right_input=2757, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=7847","layer":4},{"info":"number node, value=4758","layer":4},{"info":"compute binary expreesion, left_input=7847, right_input=4758, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2759","layer":4},{"info":"compute unary expreesion, input=2759, 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=1930","layer":4},{"info":"number node, value=2014","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=2014, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1930","layer":3},{"info":"compute binary expreesion, left_input=nan, 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=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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↯⪼⫏≰10001101)≭(⪝⪂⫅⫏≰20121102)≋⫹)⨽⫏≰20001201⫥∨⫟⫏≰10210010⋳⪒(⫏≰101202122⨐⩸⫘⫏≰20112020)⨎(∂⫏≰10210012)⨪↰⇹⫏≰2122111⨪↰⇹⫏≰2202121=NaN","reverse_text":"NaN=((↯⪼⫏≰10001101)≭(⪝⪂⫅⫏≰20121102)≋⫹)⨽⫏≰20001201⫥∨⫟⫏≰10210010⋳⪒(⫏≰101202122⨐⩸⫘⫏≰20112020)⨎(∂⫏≰10210012)⨪↰⇹⫏≰2122111⨪↰⇹⫏≰2202121","cot":[{"info":"↯⪼⫏≰10001101=⫏≰-210","layer":3},{"info":"⪝⪂⫅⫏≰20121102=⫏≰-1022222022220","layer":3},{"info":"⫏≰-210≭⫏≰-1022222022220=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⫏≰20001201⫥∨⫟⫏≰10210010=NaN","layer":3},{"info":"⫏≰101202122⨐⩸⫘⫏≰20112020=NaN","layer":3},{"info":"NaN⋳⪒NaN=NaN","layer":2},{"info":"∂⫏≰10210012=NaN","layer":3},{"info":"⫏≰2122111⨪↰⇹⫏≰2202121=⫏≰2122111","layer":3},{"info":"NaN⨪↰⇹⫏≰2122111=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":886,"expression_no_base_symbol":"(≤/($3292$⊦⊿)∑⇟⊟($2384$⪒$3495$))+((⨈⫕($4121$⨸⪁$3987$))⨁⊸⫻)","expression":"(≤/(⫏≰11111221⊦⊿)∑⇟⊟(⫏≰10021022⪒⫏≰11210110))+((⨈⫕(⫏≰12122122⨸⪁⫏≰12110200))⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":404,"operation_count":8,"complexity_ratio":50.5,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3292,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2384,"base":3},"right_expr":{"type":"numeric_atoms","value":3495,"base":3}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4121,"base":3},"right_expr":{"type":"numeric_atoms","value":3987,"base":3}}}}},"used_operators":["W4YGzv6Whe","eLAdDNolq6","U7g4x0WXJJ","14qkJME0vr","f6k1SAg4EE","glklzrTFfD","megm06wKyl","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3292","layer":4},{"info":"compute unary expreesion, input=3292, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9955","layer":3},{"info":"number node, value=2384","layer":4},{"info":"number node, value=3495","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=3495, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5879","layer":3},{"info":"compute binary expreesion, left_input=-9955, right_input=-5879, 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=4121","layer":4},{"info":"number node, value=3987","layer":4},{"info":"compute binary expreesion, left_input=4121, right_input=3987, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16216","layer":3},{"info":"compute unary expreesion, input=16216, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-42","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-42, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≤/(⫏≰11111221⊦⊿)∑⇟⊟(⫏≰10021022⪒⫏≰11210110))+((⨈⫕(⫏≰12122122⨸⪁⫏≰12110200))⨁⊸⫻)=NaN","reverse_text":"NaN=(≤/(⫏≰11111221⊦⊿)∑⇟⊟(⫏≰10021022⪒⫏≰11210110))+((⨈⫕(⫏≰12122122⨸⪁⫏≰12110200))⨁⊸⫻)","cot":[{"info":"⫏≰11111221⊦⊿=⫏≰-111122201","layer":3},{"info":"⫏≰10021022⪒⫏≰11210110=⫏≰-22001202","layer":3},{"info":"⫏≰-111122201∑⇟⊟⫏≰-22001202=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"⫏≰12122122⨸⪁⫏≰12110200=⫏≰211020121","layer":3},{"info":"⨈⫕⫏≰211020121=⫏≰-210","layer":2},{"info":"⫏≰-210⨁⊸⫻=⫏≰-1120","layer":1},{"info":"NaN+⫏≰-1120=NaN","layer":0}]}
{"id":887,"expression_no_base_symbol":"($4639$↺$5486$⫡⨏$5234$↺$1539$)≎⊠⪸($2135$⨽$3782$∲⫓($3137$⫩⊇))⊦⊿","expression":"(⫏≰20100211↺⫏≰21112012⫡⨏⫏≰21011212↺⫏≰2010000)≎⊠⪸(⫏≰2221002⨽⫏≰12012002∲⫓(⫏≰11022012⫩⊇))⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2175,"operation_count":8,"complexity_ratio":271.875,"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":4639,"base":3},"right_expr":{"type":"numeric_atoms","value":5486,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5234,"base":3},"right_expr":{"type":"numeric_atoms","value":1539,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2135,"base":3},"right_expr":{"type":"numeric_atoms","value":3782,"base":3}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3137,"base":3}}}}},"used_operators":["14qkJME0vr","bJkvcejdHO","QMFrweE19q","7j4O788W3g","i8ToyICDmI","8HhzD0ZcuI","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-101101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4639","layer":4},{"info":"number node, value=5486","layer":4},{"info":"compute binary expreesion, left_input=4639, right_input=5486, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5486","layer":3},{"info":"number node, value=5234","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=5234, right_input=1539, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1539","layer":3},{"info":"compute binary expreesion, left_input=5486, right_input=1539, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31291","layer":2},{"info":"number node, value=2135","layer":4},{"info":"number node, value=3782","layer":4},{"info":"compute binary expreesion, left_input=2135, right_input=3782, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13684707","layer":3},{"info":"number node, value=3137","layer":4},{"info":"compute unary expreesion, input=3137, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3095","layer":3},{"info":"compute binary expreesion, left_input=-13684707, right_input=-3095, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-13684707","layer":2},{"info":"compute binary expreesion, left_input=31291, right_input=-13684707, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-280","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20100211↺⫏≰21112012⫡⨏⫏≰21011212↺⫏≰2010000)≎⊠⪸(⫏≰2221002⨽⫏≰12012002∲⫓(⫏≰11022012⫩⊇))⊦⊿=⫏≰-101101","reverse_text":"⫏≰-101101=(⫏≰20100211↺⫏≰21112012⫡⨏⫏≰21011212↺⫏≰2010000)≎⊠⪸(⫏≰2221002⨽⫏≰12012002∲⫓(⫏≰11022012⫩⊇))⊦⊿","cot":[{"info":"⫏≰20100211↺⫏≰21112012=⫏≰21112012","layer":3},{"info":"⫏≰21011212↺⫏≰2010000=⫏≰2010000","layer":3},{"info":"⫏≰21112012⫡⨏⫏≰2010000=⫏≰1120220221","layer":2},{"info":"⫏≰2221002⨽⫏≰12012002=⫏≰-221202020220000","layer":3},{"info":"⫏≰11022012⫩⊇=⫏≰-11020122","layer":3},{"info":"⫏≰-221202020220000∲⫓⫏≰-11020122=⫏≰-221202020220000","layer":2},{"info":"⫏≰1120220221≎⊠⪸⫏≰-221202020220000=⫏≰2111","layer":1},{"info":"⫏≰2111⊦⊿=⫏≰-101101","layer":0}]}
{"id":888,"expression_no_base_symbol":"+⊝⨔(⫓⪴(≦∁($1464$⫡⨏$2204$)))","expression":"+⊝⨔(⫓⪴(≦∁(⫏≰2000020⫡⨏⫏≰10000122)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":12559,"operation_count":4,"complexity_ratio":3139.75,"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":1464,"base":3},"right_expr":{"type":"numeric_atoms","value":2204,"base":3}}}}},"used_operators":["DhbWaqg5eL","eLxqMNBOBk","9ICcGScMcE","QMFrweE19q"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1464","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=2204, op_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 unary expreesion, input=12511, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=12511","layer":2},{"info":"compute unary expreesion, input=12511, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=156525121","layer":1},{"info":"compute unary expreesion, input=156525121, 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":3,"result_base":3,"text":"+⊝⨔(⫓⪴(≦∁(⫏≰2000020⫡⨏⫏≰10000122)))=⫏≰2002101","reverse_text":"⫏≰2002101=+⊝⨔(⫓⪴(≦∁(⫏≰2000020⫡⨏⫏≰10000122)))","cot":[{"info":"⫏≰2000020⫡⨏⫏≰10000122=⫏≰122011101","layer":3},{"info":"≦∁⫏≰122011101=⫏≰122011101","layer":2},{"info":"⫓⪴⫏≰122011101=⫏≰101220112022002201","layer":1},{"info":"+⊝⨔⫏≰101220112022002201=⫏≰2002101","layer":0}]}
{"id":889,"expression_no_base_symbol":"(↔(∂(⋗⩬⋾$1733$)))≦≮≮","expression":"(↔(∂(⋗⩬⋾⫏≰2101012)))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":430,"operation_count":4,"complexity_ratio":107.5,"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":1733,"base":3}}}}},"used_operators":["D4vGDi5EA2","ruOEQAzv1W","Uaa54Peajs","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰201012000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1733","layer":4},{"info":"compute unary expreesion, input=1733, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5199","layer":3},{"info":"compute unary expreesion, input=-5199, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=4935","layer":2},{"info":"compute unary expreesion, input=4935, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4662","layer":1},{"info":"compute unary expreesion, input=-4662, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=13986","layer":0}],"base":3,"result_base":3,"text":"(↔(∂(⋗⩬⋾⫏≰2101012)))≦≮≮=⫏≰201012000","reverse_text":"⫏≰201012000=(↔(∂(⋗⩬⋾⫏≰2101012)))≦≮≮","cot":[{"info":"⋗⩬⋾⫏≰2101012=⫏≰-21010120","layer":3},{"info":"∂⫏≰-21010120=⫏≰20202210","layer":2},{"info":"↔⫏≰20202210=⫏≰-20101200","layer":1},{"info":"⫏≰-20101200≦≮≮=⫏≰201012000","layer":0}]}
{"id":890,"expression_no_base_symbol":"(⋗⩬⋾($1044$⫥∨⫟$7726$-$3984$⪮%⊝$1720$))+((⫛⫱⨽$1048$)∲⫓$6705$⨳⩥⨓$3824$)⇼⇔∾($2239$%$8388$)⪮%⊝($2800$↺$2616$)","expression":"(⋗⩬⋾(⫏≰1102200⫥∨⫟⫏≰101121011-⫏≰12110120⪮%⊝⫏≰2100201))+((⫛⫱⨽⫏≰1102211)∲⫓⫏≰100012100⨳⩥⨓⫏≰12020122)⇼⇔∾(⫏≰10001221%⫏≰102111200)⪮%⊝(⫏≰10211201↺⫏≰10120220)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1608,"operation_count":12,"complexity_ratio":134.0,"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":1044,"base":3},"right_expr":{"type":"numeric_atoms","value":7726,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3984,"base":3},"right_expr":{"type":"numeric_atoms","value":1720,"base":3}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1048,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6705,"base":3},"right_expr":{"type":"numeric_atoms","value":3824,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2239,"base":3},"right_expr":{"type":"numeric_atoms","value":8388,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2800,"base":3},"right_expr":{"type":"numeric_atoms","value":2616,"base":3}}}}},"used_operators":["W4YGzv6Whe","DpFCA1CohY","rysDP5nf3Z","KYD54nUTWz","IWmyXbctLI","tifHPKVTfV","i8ToyICDmI","DlLNRPXxWL","nCS4ZIUYfx","k8jYdgA6NY","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1044","layer":4},{"info":"number node, value=7726","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=7726, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3984","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=3984, right_input=1720, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8284","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8284, op_id = rysDP5nf3Z binary_op_definition= 'None', 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=1048","layer":4},{"info":"compute unary expreesion, input=1048, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=6705","layer":4},{"info":"number node, value=3824","layer":4},{"info":"compute binary expreesion, left_input=6705, right_input=3824, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2881","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2881, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2239","layer":4},{"info":"number node, value=8388","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=8388, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2239","layer":3},{"info":"number node, value=2800","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=2616, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2616","layer":3},{"info":"compute binary expreesion, left_input=2239, right_input=2616, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4794","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4794, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4794","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4794, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⋗⩬⋾(⫏≰1102200⫥∨⫟⫏≰101121011-⫏≰12110120⪮%⊝⫏≰2100201))+((⫛⫱⨽⫏≰1102211)∲⫓⫏≰100012100⨳⩥⨓⫏≰12020122)⇼⇔∾(⫏≰10001221%⫏≰102111200)⪮%⊝(⫏≰10211201↺⫏≰10120220)=NaN","reverse_text":"NaN=(⋗⩬⋾(⫏≰1102200⫥∨⫟⫏≰101121011-⫏≰12110120⪮%⊝⫏≰2100201))+((⫛⫱⨽⫏≰1102211)∲⫓⫏≰100012100⨳⩥⨓⫏≰12020122)⇼⇔∾(⫏≰10001221%⫏≰102111200)⪮%⊝(⫏≰10211201↺⫏≰10120220)","cot":[{"info":"⫏≰1102200⫥∨⫟⫏≰101121011=NaN","layer":3},{"info":"⫏≰12110120⪮%⊝⫏≰2100201=⫏≰102100211","layer":3},{"info":"NaN-⫏≰102100211=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⫛⫱⨽⫏≰1102211=⫏≰0","layer":3},{"info":"⫏≰100012100⨳⩥⨓⫏≰12020122=⫏≰-10221201","layer":3},{"info":"⫏≰0∲⫓⫏≰-10221201=⫏≰0","layer":2},{"info":"⫏≰10001221%⫏≰102111200=⫏≰10001221","layer":3},{"info":"⫏≰10211201↺⫏≰10120220=⫏≰10120220","layer":3},{"info":"⫏≰10001221⪮%⊝⫏≰10120220=⫏≰20120120","layer":2},{"info":"⫏≰0⇼⇔∾⫏≰20120120=⫏≰20120120","layer":1},{"info":"NaN+⫏≰20120120=NaN","layer":0}]}
{"id":891,"expression_no_base_symbol":"(⨑⩽⪐($1083$⫡⨏$1500$)⩷∴($2888$⩷∴$6299$))∑⇟⊟((($2862$⪒$5285$)≎⊠⪸($2193$⋫))⨰($1366$⋝⋈⪟$5225$⊘))","expression":"(⨑⩽⪐(⫏≰1111010⫡⨏⫏≰2001120)⩷∴(⫏≰10221222⩷∴⫏≰22122022))∑⇟⊟(((⫏≰10221000⪒⫏≰21020202)≎⊠⪸(⫏≰10000020⋫))⨰(⫏≰1212121⋝⋈⪟⫏≰21011112⊘))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2519,"operation_count":11,"complexity_ratio":229.0,"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":1083,"base":3},"right_expr":{"type":"numeric_atoms","value":1500,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2888,"base":3},"right_expr":{"type":"numeric_atoms","value":6299,"base":3}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2862,"base":3},"right_expr":{"type":"numeric_atoms","value":5285,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2193,"base":3}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1366,"base":3},"right_expr":{"type":"numeric_atoms","value":5225,"base":3}}}}},"used_operators":["U7g4x0WXJJ","AF7qkfDlqP","9FxExcQeMw","QMFrweE19q","eewbuw0ToL","bJkvcejdHO","f6k1SAg4EE","JL8yIekQnl","gu96TGCTMs","2DDjHMKMc0"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=1500, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9198","layer":3},{"info":"number node, value=2888","layer":4},{"info":"number node, value=6299","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=6299, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6854","layer":3},{"info":"compute binary expreesion, left_input=9198, right_input=-6854, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=32072","layer":2},{"info":"compute unary expreesion, input=32072, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-31799","layer":1},{"info":"number node, value=2862","layer":4},{"info":"number node, value=5285","layer":4},{"info":"compute binary expreesion, left_input=2862, right_input=5285, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8147","layer":3},{"info":"number node, value=2193","layer":4},{"info":"compute unary expreesion, input=2193, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2193","layer":3},{"info":"compute binary expreesion, left_input=-8147, right_input=2193, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2110073","layer":2},{"info":"number node, value=1366","layer":4},{"info":"number node, value=5225","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=5225, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1366","layer":3},{"info":"compute unary expreesion, input=1366, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2110073, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2110083","layer":1},{"info":"compute binary expreesion, left_input=-31799, right_input=2110083, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨑⩽⪐(⫏≰1111010⫡⨏⫏≰2001120)⩷∴(⫏≰10221222⩷∴⫏≰22122022))∑⇟⊟(((⫏≰10221000⪒⫏≰21020202)≎⊠⪸(⫏≰10000020⋫))⨰(⫏≰1212121⋝⋈⪟⫏≰21011112⊘))=NaN","reverse_text":"NaN=(⨑⩽⪐(⫏≰1111010⫡⨏⫏≰2001120)⩷∴(⫏≰10221222⩷∴⫏≰22122022))∑⇟⊟(((⫏≰10221000⪒⫏≰21020202)≎⊠⪸(⫏≰10000020⋫))⨰(⫏≰1212121⋝⋈⪟⫏≰21011112⊘))","cot":[{"info":"⫏≰1111010⫡⨏⫏≰2001120=⫏≰110121200","layer":3},{"info":"⫏≰10221222⩷∴⫏≰22122022=⫏≰-100101212","layer":3},{"info":"⫏≰110121200⩷∴⫏≰-100101212=⫏≰1121222212","layer":2},{"info":"⨑⩽⪐⫏≰1121222212=⫏≰-1121121202","layer":1},{"info":"⫏≰10221000⪒⫏≰21020202=⫏≰-102011202","layer":3},{"info":"⫏≰10000020⋫=⫏≰10000020","layer":3},{"info":"⫏≰-102011202≎⊠⪸⫏≰10000020=⫏≰10222012110212","layer":2},{"info":"⫏≰1212121⋝⋈⪟⫏≰21011112=⫏≰1212121","layer":3},{"info":"⫏≰1212121⊘=⫏≰0","layer":2},{"info":"⫏≰10222012110212⨰⫏≰0=⫏≰10222012111020","layer":1},{"info":"⫏≰-1121121202∑⇟⊟⫏≰10222012111020=NaN","layer":0}]}
{"id":892,"expression_no_base_symbol":"(+⊝⨔((↯⪼$1154$)⨸⪁($3853$⊭↱$1665$)))⊴((⨵≀≌($2016$⫡⨏$3837$))⨸⪁(∂(≉$3283$)))","expression":"(+⊝⨔((↯⪼⫏≰1120202)⨸⪁(⫏≰12021201⊭↱⫏≰2021200)))⊴((⨵≀≌(⫏≰2202200⫡⨏⫏≰12021010))⨸⪁(∂(≉⫏≰11111121)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":83,"operation_count":10,"complexity_ratio":8.3,"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":1154,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3853,"base":3},"right_expr":{"type":"numeric_atoms","value":1665,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2016,"base":3},"right_expr":{"type":"numeric_atoms","value":3837,"base":3}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3283,"base":3}}}}},"used_operators":["Nsiff2A1zJ","DhbWaqg5eL","g55IO6H4Gj","8jW3W4yZS5","COABgblf1C","srAu1WTS94","QMFrweE19q","Uaa54Peajs","e1ybzncUwg"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, 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=3853","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=3853, right_input=1665, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4371","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-4371, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-8784","layer":2},{"info":"compute unary expreesion, input=-8784, 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=2016","layer":4},{"info":"number node, value=3837","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=3837, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18537","layer":3},{"info":"compute unary expreesion, input=18537, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-55611","layer":2},{"info":"number node, value=3283","layer":4},{"info":"compute unary expreesion, input=3283, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3814","layer":3},{"info":"compute unary expreesion, input=3814, 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=-55611, 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=1522, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(+⊝⨔((↯⪼⫏≰1120202)⨸⪁(⫏≰12021201⊭↱⫏≰2021200)))⊴((⨵≀≌(⫏≰2202200⫡⨏⫏≰12021010))⨸⪁(∂(≉⫏≰11111121)))=NaN","reverse_text":"NaN=(+⊝⨔((↯⪼⫏≰1120202)⨸⪁(⫏≰12021201⊭↱⫏≰2021200)))⊴((⨵≀≌(⫏≰2202200⫡⨏⫏≰12021010))⨸⪁(∂(≉⫏≰11111121)))","cot":[{"info":"↯⪼⫏≰1120202=⫏≰-210","layer":3},{"info":"⫏≰12021201⊭↱⫏≰2021200=⫏≰-12222220","layer":3},{"info":"⫏≰-210⨸⪁⫏≰-12222220=⫏≰-110001100","layer":2},{"info":"+⊝⨔⫏≰-110001100=⫏≰2002101","layer":1},{"info":"⫏≰2202200⫡⨏⫏≰12021010=⫏≰221102120","layer":3},{"info":"⨵≀≌⫏≰221102120=⫏≰-2211021200","layer":2},{"info":"≉⫏≰11111121=⫏≰12020021","layer":3},{"info":"∂⫏≰12020021=NaN","layer":2},{"info":"⫏≰-2211021200⨸⪁NaN=NaN","layer":1},{"info":"⫏≰2002101⊴NaN=NaN","layer":0}]}
{"id":893,"expression_no_base_symbol":"(($3814$⪠⩆⊳)%(⨵≀≌$1437$)⫡⨏(($5358$⩨$4067$)⩤))%$1688$⨟⋌⩍$4001$⇷$1325$⊴$1624$⋝⋈⪟(⨰⫟⨤($4762$%$1426$))","expression":"((⫏≰12020021⪠⩆⊳)%(⨵≀≌⫏≰1222020)⫡⨏((⫏≰21100110⩨⫏≰12120122)⩤))%⫏≰2022112⨟⋌⩍⫏≰12111012⇷⫏≰1211002⊴⫏≰2020011⋝⋈⪟(⨰⫟⨤(⫏≰20112101%⫏≰1221211))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2763,"operation_count":13,"complexity_ratio":212.53846153846155,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3814,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1437,"base":3}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5358,"base":3},"right_expr":{"type":"numeric_atoms","value":4067,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1688,"base":3},"right_expr":{"type":"numeric_atoms","value":4001,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1325,"base":3},"right_expr":{"type":"numeric_atoms","value":1624,"base":3}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4762,"base":3},"right_expr":{"type":"numeric_atoms","value":1426,"base":3}}}}},"used_operators":["k8jYdgA6NY","QMFrweE19q","JLbD19bQDL","srAu1WTS94","Z2TMIBDE3Q","2DlMacCsIx","2DDjHMKMc0","mp7IySMOzn","rGHVDoGpnC","Nsiff2A1zJ","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3814","layer":4},{"info":"compute unary expreesion, input=3814, 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=1437","layer":4},{"info":"compute unary expreesion, input=1437, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4311","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4311, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=5358","layer":4},{"info":"number node, value=4067","layer":4},{"info":"compute binary expreesion, left_input=5358, right_input=4067, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":2},{"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":1},{"info":"number node, value=1688","layer":4},{"info":"number node, value=4001","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=4001, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1325","layer":4},{"info":"number node, value=1624","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=1624, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=4762","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=4762, right_input=1426, op_id = k8jYdgA6NY binary_op_definition= 'None', output=484","layer":3},{"info":"compute unary expreesion, input=484, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=783, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12020021⪠⩆⊳)%(⨵≀≌⫏≰1222020)⫡⨏((⫏≰21100110⩨⫏≰12120122)⩤))%⫏≰2022112⨟⋌⩍⫏≰12111012⇷⫏≰1211002⊴⫏≰2020011⋝⋈⪟(⨰⫟⨤(⫏≰20112101%⫏≰1221211))=NaN","reverse_text":"NaN=((⫏≰12020021⪠⩆⊳)%(⨵≀≌⫏≰1222020)⫡⨏((⫏≰21100110⩨⫏≰12120122)⩤))%⫏≰2022112⨟⋌⩍⫏≰12111012⇷⫏≰1211002⊴⫏≰2020011⋝⋈⪟(⨰⫟⨤(⫏≰20112101%⫏≰1221211))","cot":[{"info":"⫏≰12020021⪠⩆⊳=⫏≰0","layer":3},{"info":"⨵≀≌⫏≰1222020=⫏≰-12220200","layer":3},{"info":"⫏≰0%⫏≰-12220200=⫏≰0","layer":2},{"info":"⫏≰21100110⩨⫏≰12120122=⫏≰0","layer":3},{"info":"⫏≰0⩤=⫏≰0","layer":2},{"info":"⫏≰0⫡⨏⫏≰0=⫏≰1002000","layer":1},{"info":"⫏≰2022112⨟⋌⩍⫏≰12111012=NaN","layer":3},{"info":"⫏≰1211002⊴⫏≰2020011=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"⫏≰20112101%⫏≰1221211=⫏≰122221","layer":3},{"info":"⨰⫟⨤⫏≰122221=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⫏≰1002000%NaN=NaN","layer":0}]}
{"id":894,"expression_no_base_symbol":"((≤/$1080$⋓$1073$)↺($1580$⊴$8220$⋷($2192$⇋≉)))⪮%⊝(((↣≠⋷$2882$)%$2172$↺$7683$)⋳⪒($1018$+$4688$)⪮%⊝($1558$⫸⊐$2308$))","expression":"((≤/⫏≰1111000⋓⫏≰1110202)↺(⫏≰2011112⊴⫏≰102021110⋷(⫏≰10000012⇋≉)))⪮%⊝(((↣≠⋷⫏≰10221202)%⫏≰2222110↺⫏≰101112120)⋳⪒(⫏≰1101201+⫏≰20102122)⪮%⊝(⫏≰2010201⫸⊐⫏≰10011111))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8303,"operation_count":14,"complexity_ratio":593.0714285714286,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1080,"base":3},"right_expr":{"type":"numeric_atoms","value":1073,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1580,"base":3},"right_expr":{"type":"numeric_atoms","value":8220,"base":3}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2192,"base":3}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2882,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2172,"base":3},"right_expr":{"type":"numeric_atoms","value":7683,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1018,"base":3},"right_expr":{"type":"numeric_atoms","value":4688,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1558,"base":3},"right_expr":{"type":"numeric_atoms","value":2308,"base":3}}}}},"used_operators":["IWmyXbctLI","7j4O788W3g","eLAdDNolq6","T2fj7uvVaJ","23Mk6UjR3U","Nsiff2A1zJ","XIabStNQrY","12rbrZMWeM","k8jYdgA6NY","Asc51vEJeQ","W4YGzv6Whe","mqXw5SEYmG"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1080","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1073, op_id = T2fj7uvVaJ 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":2},{"info":"number node, value=1580","layer":4},{"info":"number node, value=8220","layer":4},{"info":"compute binary expreesion, left_input=1580, right_input=8220, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2192","layer":4},{"info":"compute unary expreesion, input=2192, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4286","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4286, 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=484, 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=2882","layer":4},{"info":"compute unary expreesion, input=2882, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2172","layer":4},{"info":"number node, value=7683","layer":4},{"info":"compute binary expreesion, left_input=2172, right_input=7683, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7683","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7683, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1018","layer":4},{"info":"number node, value=4688","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=4688, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5706","layer":3},{"info":"number node, value=1558","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=1558, right_input=2308, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9107","layer":3},{"info":"compute binary expreesion, left_input=5706, right_input=9107, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11728","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11728, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((≤/⫏≰1111000⋓⫏≰1110202)↺(⫏≰2011112⊴⫏≰102021110⋷(⫏≰10000012⇋≉)))⪮%⊝(((↣≠⋷⫏≰10221202)%⫏≰2222110↺⫏≰101112120)⋳⪒(⫏≰1101201+⫏≰20102122)⪮%⊝(⫏≰2010201⫸⊐⫏≰10011111))=NaN","reverse_text":"NaN=((≤/⫏≰1111000⋓⫏≰1110202)↺(⫏≰2011112⊴⫏≰102021110⋷(⫏≰10000012⇋≉)))⪮%⊝(((↣≠⋷⫏≰10221202)%⫏≰2222110↺⫏≰101112120)⋳⪒(⫏≰1101201+⫏≰20102122)⪮%⊝(⫏≰2010201⫸⊐⫏≰10011111))","cot":[{"info":"⫏≰1111000⋓⫏≰1110202=⫏≰0","layer":3},{"info":"≤/⫏≰0=⫏≰122221","layer":2},{"info":"⫏≰2011112⊴⫏≰102021110=NaN","layer":3},{"info":"⫏≰10000012⇋≉=⫏≰12212202","layer":3},{"info":"NaN⋷⫏≰12212202=NaN","layer":2},{"info":"⫏≰122221↺NaN=NaN","layer":1},{"info":"↣≠⋷⫏≰10221202=NaN","layer":3},{"info":"⫏≰2222110↺⫏≰101112120=⫏≰101112120","layer":3},{"info":"NaN%⫏≰101112120=NaN","layer":2},{"info":"⫏≰1101201+⫏≰20102122=⫏≰21211100","layer":3},{"info":"⫏≰2010201⫸⊐⫏≰10011111=⫏≰110111022","layer":3},{"info":"⫏≰21211100⪮%⊝⫏≰110111022=⫏≰121002101","layer":2},{"info":"NaN⋳⪒⫏≰121002101=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":895,"expression_no_base_symbol":"↩(($7221$⫡⨏$5705$)⨎($1171$*$3546$))⪮%⊝((⫓⪴$3838$)⨵⪆$4009$⨸⪁$1954$)","expression":"↩((⫏≰100220110⫡⨏⫏≰21211022)⨎(⫏≰1121101*⫏≰11212100))⪮%⊝((⫓⪴⫏≰12021011)⨵⪆⫏≰12111111⨸⪁⫏≰2200101)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5046,"operation_count":8,"complexity_ratio":630.75,"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":7221,"base":3},"right_expr":{"type":"numeric_atoms","value":5705,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1171,"base":3},"right_expr":{"type":"numeric_atoms","value":3546,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3838,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4009,"base":3},"right_expr":{"type":"numeric_atoms","value":1954,"base":3}}}}},"used_operators":["jLgFTUHLKL","IWmyXbctLI","rJVOvQCfKK","QMFrweE19q","9HNa5Wba9A","2DQ55sFlQl","eLxqMNBOBk","g55IO6H4Gj"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe"],"result":"⫏≰-11122000101021000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7221","layer":4},{"info":"number node, value=5705","layer":4},{"info":"compute binary expreesion, left_input=7221, right_input=5705, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=48298","layer":3},{"info":"number node, value=1171","layer":4},{"info":"number node, value=3546","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=3546, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4152366","layer":3},{"info":"compute binary expreesion, left_input=48298, right_input=4152366, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4152366","layer":2},{"info":"number node, value=3838","layer":4},{"info":"compute unary expreesion, input=3838, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=14730244","layer":3},{"info":"number node, value=4009","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=4009, right_input=1954, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11926","layer":3},{"info":"compute binary expreesion, left_input=14730244, right_input=11926, 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=4152366, right_input=160, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8305048","layer":1},{"info":"compute unary expreesion, input=8305048, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-66437604","layer":0}],"base":3,"result_base":3,"text":"↩((⫏≰100220110⫡⨏⫏≰21211022)⨎(⫏≰1121101*⫏≰11212100))⪮%⊝((⫓⪴⫏≰12021011)⨵⪆⫏≰12111111⨸⪁⫏≰2200101)=⫏≰-11122000101021000","reverse_text":"⫏≰-11122000101021000=↩((⫏≰100220110⫡⨏⫏≰21211022)⨎(⫏≰1121101*⫏≰11212100))⪮%⊝((⫓⪴⫏≰12021011)⨵⪆⫏≰12111111⨸⪁⫏≰2200101)","cot":[{"info":"⫏≰100220110⫡⨏⫏≰21211022=⫏≰2110020211","layer":3},{"info":"⫏≰1121101*⫏≰11212100=⫏≰21210221222100","layer":3},{"info":"⫏≰2110020211⨎⫏≰21210221222100=⫏≰21210221222100","layer":2},{"info":"⫓⪴⫏≰12021011=⫏≰1000201101002121","layer":3},{"info":"⫏≰12111111⨸⪁⫏≰2200101=⫏≰121100201","layer":3},{"info":"⫏≰1000201101002121⨵⪆⫏≰121100201=⫏≰12221","layer":2},{"info":"⫏≰21210221222100⪮%⊝⫏≰12221=⫏≰120121221101101","layer":1},{"info":"↩⫏≰120121221101101=⫏≰-11122000101021000","layer":0}]}
{"id":896,"expression_no_base_symbol":"($4236$⩷∴$1558$⋷$4258$-$1132$)⊉≛↸($1776$⋝⋈⪟$2542$)∀⇚≩$4521$↬$4910$⊉≛↸((≉($1646$⩠))⪒(⪝⪂⫅$1026$⇷$2933$))","expression":"(⫏≰12210220⩷∴⫏≰2010201⋷⫏≰12211201-⫏≰1112221)⊉≛↸(⫏≰2102210⋝⋈⪟⫏≰10111011)∀⇚≩⫏≰20012110↬⫏≰20201212⊉≛↸((≉(⫏≰2020222⩠))⪒(⪝⪂⫅⫏≰1102000⇷⫏≰11000122))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26993,"operation_count":13,"complexity_ratio":2076.3846153846152,"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":4236,"base":3},"right_expr":{"type":"numeric_atoms","value":1558,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4258,"base":3},"right_expr":{"type":"numeric_atoms","value":1132,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1776,"base":3},"right_expr":{"type":"numeric_atoms","value":2542,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4521,"base":3},"right_expr":{"type":"numeric_atoms","value":4910,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1646,"base":3}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1026,"base":3},"right_expr":{"type":"numeric_atoms","value":2933,"base":3}}}}},"used_operators":["DZ8iAZOCBD","23Mk6UjR3U","9FxExcQeMw","rysDP5nf3Z","LRNGc0VcxI","2DDjHMKMc0","B5M0gjZbta","f6k1SAg4EE","e1ybzncUwg","sJAwomhLZr","XTarYq4gQB","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫏≰12002111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4236","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=4236, right_input=1558, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5324","layer":3},{"info":"number node, value=4258","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=4258, right_input=1132, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3126","layer":3},{"info":"compute binary expreesion, left_input=5324, right_input=3126, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=928","layer":2},{"info":"number node, value=1776","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=2542, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1776","layer":3},{"info":"number node, value=4521","layer":4},{"info":"number node, value=4910","layer":4},{"info":"compute binary expreesion, left_input=4521, right_input=4910, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1776, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=928, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1856","layer":1},{"info":"number node, value=1646","layer":4},{"info":"compute unary expreesion, input=1646, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=2933","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=2933, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5866","layer":3},{"info":"compute unary expreesion, input=5866, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-862302","layer":2},{"info":"compute binary expreesion, left_input=531, right_input=-862302, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=861771","layer":1},{"info":"compute binary expreesion, left_input=1856, right_input=861771, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3712","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12210220⩷∴⫏≰2010201⋷⫏≰12211201-⫏≰1112221)⊉≛↸(⫏≰2102210⋝⋈⪟⫏≰10111011)∀⇚≩⫏≰20012110↬⫏≰20201212⊉≛↸((≉(⫏≰2020222⩠))⪒(⪝⪂⫅⫏≰1102000⇷⫏≰11000122))=⫏≰12002111","reverse_text":"⫏≰12002111=(⫏≰12210220⩷∴⫏≰2010201⋷⫏≰12211201-⫏≰1112221)⊉≛↸(⫏≰2102210⋝⋈⪟⫏≰10111011)∀⇚≩⫏≰20012110↬⫏≰20201212⊉≛↸((≉(⫏≰2020222⩠))⪒(⪝⪂⫅⫏≰1102000⇷⫏≰11000122))","cot":[{"info":"⫏≰12210220⩷∴⫏≰2010201=⫏≰21022012","layer":3},{"info":"⫏≰12211201-⫏≰1112221=⫏≰11021210","layer":3},{"info":"⫏≰21022012⋷⫏≰11021210=⫏≰1021101","layer":2},{"info":"⫏≰2102210⋝⋈⪟⫏≰10111011=⫏≰2102210","layer":3},{"info":"⫏≰20012110↬⫏≰20201212=NaN","layer":3},{"info":"⫏≰2102210∀⇚≩NaN=NaN","layer":2},{"info":"⫏≰1021101⊉≛↸NaN=⫏≰2112202","layer":1},{"info":"⫏≰2020222⩠=⫏≰0","layer":3},{"info":"≉⫏≰0=⫏≰201200","layer":2},{"info":"⫏≰1102000⇷⫏≰11000122=⫏≰22001021","layer":3},{"info":"⪝⪂⫅⫏≰22001021=⫏≰-1121210212010","layer":2},{"info":"⫏≰201200⪒⫏≰-1121210212010=⫏≰1121210010110","layer":1},{"info":"⫏≰2112202⊉≛↸⫏≰1121210010110=⫏≰12002111","layer":0}]}
{"id":897,"expression_no_base_symbol":"(($4090$⪨≂$2275$)-(⊥$4162$))%(⊥(≤/$1756$))↪⪝","expression":"((⫏≰12121111⪨≂⫏≰10010021)-(⊥⫏≰12201011))%(⊥(≤/⫏≰2102001))↪⪝","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":15,"operation_count":7,"complexity_ratio":2.142857142857143,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4090,"base":3},"right_expr":{"type":"numeric_atoms","value":2275,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4162,"base":3}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1756,"base":3}}}}},"used_operators":["l07mrZUIn9","k8jYdgA6NY","rysDP5nf3Z","sdazOOVcIp","Q3PJZHRvZv","eLAdDNolq6"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4090","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=4090, right_input=2275, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3732","layer":3},{"info":"number node, value=4162","layer":4},{"info":"compute unary expreesion, input=4162, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3732, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1756","layer":4},{"info":"compute unary expreesion, input=1756, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1272","layer":3},{"info":"compute unary expreesion, input=-1272, 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 = k8jYdgA6NY binary_op_definition= 'None', 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":3,"result_base":3,"text":"((⫏≰12121111⪨≂⫏≰10010021)-(⊥⫏≰12201011))%(⊥(≤/⫏≰2102001))↪⪝=NaN","reverse_text":"NaN=((⫏≰12121111⪨≂⫏≰10010021)-(⊥⫏≰12201011))%(⊥(≤/⫏≰2102001))↪⪝","cot":[{"info":"⫏≰12121111⪨≂⫏≰10010021=⫏≰12010020","layer":3},{"info":"⊥⫏≰12201011=NaN","layer":3},{"info":"⫏≰12010020-NaN=NaN","layer":2},{"info":"≤/⫏≰2102001=⫏≰-1202010","layer":3},{"info":"⊥⫏≰-1202010=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":898,"expression_no_base_symbol":"((⨵≀≌$5920$+⇶⊼$1790$)⨁⊸⫻)⋷(($1639$/$7139$)≧⫂∧($1878$⫌⩹⨱))⪢($4113$⨐⩸⫘$1665$⋷(⫛⫱⨽$6114$))","expression":"((⨵≀≌⫏≰22010021+⇶⊼⫏≰2110022)⨁⊸⫻)⋷((⫏≰2020201/⫏≰100210102)≧⫂∧(⫏≰2120120⫌⩹⨱))⪢(⫏≰12122100⨐⩸⫘⫏≰2021200⋷(⫛⫱⨽⫏≰22101110))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1442,"operation_count":11,"complexity_ratio":131.0909090909091,"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":5920,"base":3},"right_expr":{"type":"numeric_atoms","value":1790,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1639,"base":3},"right_expr":{"type":"numeric_atoms","value":7139,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1878,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4113,"base":3},"right_expr":{"type":"numeric_atoms","value":1665,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6114,"base":3}}}}},"used_operators":["23Mk6UjR3U","glklzrTFfD","srAu1WTS94","TpPTUOHfaN","dWAJyo7jo9","Ph9nP6C5qx","XhwjNDsVaA","EBcxylXtPf","fu6greOZ01","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5920","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=5920, right_input=1790, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾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=1639","layer":4},{"info":"number node, value=7139","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=7139, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1878","layer":4},{"info":"compute unary expreesion, input=1878, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5157","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5157, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4684","layer":2},{"info":"number node, value=4113","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=4113, right_input=1665, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=6114","layer":4},{"info":"compute unary expreesion, input=6114, 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 = 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=4684, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨵≀≌⫏≰22010021+⇶⊼⫏≰2110022)⨁⊸⫻)⋷((⫏≰2020201/⫏≰100210102)≧⫂∧(⫏≰2120120⫌⩹⨱))⪢(⫏≰12122100⨐⩸⫘⫏≰2021200⋷(⫛⫱⨽⫏≰22101110))=NaN","reverse_text":"NaN=((⨵≀≌⫏≰22010021+⇶⊼⫏≰2110022)⨁⊸⫻)⋷((⫏≰2020201/⫏≰100210102)≧⫂∧(⫏≰2120120⫌⩹⨱))⪢(⫏≰12122100⨐⩸⫘⫏≰2021200⋷(⫛⫱⨽⫏≰22101110))","cot":[{"info":"⫏≰22010021+⇶⊼⫏≰2110022=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⫏≰2020201/⫏≰100210102=⫏≰0","layer":3},{"info":"⫏≰2120120⫌⩹⨱=⫏≰21002000","layer":3},{"info":"⫏≰0≧⫂∧⫏≰21002000=⫏≰20102111","layer":2},{"info":"⫏≰12122100⨐⩸⫘⫏≰2021200=NaN","layer":3},{"info":"⫛⫱⨽⫏≰22101110=⫏≰0","layer":3},{"info":"NaN⋷⫏≰0=NaN","layer":2},{"info":"⫏≰20102111⪢NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":899,"expression_no_base_symbol":"(($3484$⇷$3577$⨳⩥⨓$3354$⇷$2603$)⨎($2213$⪛$2560$⫥∨⫟($1662$⫥∨⫟$4436$)))↬($2405$⨓$2088$⪄(≉$1181$)⨵⪆(↩($1091$⪠⩆⊳)))","expression":"((⫏≰11210001⇷⫏≰11220111⨳⩥⨓⫏≰11121020⇷⫏≰10120102)⨎(⫏≰10000222⪛⫏≰10111211⫥∨⫟(⫏≰2021120⫥∨⫟⫏≰20002022)))↬(⫏≰10022002⨓⫏≰2212100⪄(≉⫏≰1121202)⨵⪆(↩(⫏≰1111102⪠⩆⊳)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":98276,"operation_count":14,"complexity_ratio":7019.714285714285,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3484,"base":3},"right_expr":{"type":"numeric_atoms","value":3577,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3354,"base":3},"right_expr":{"type":"numeric_atoms","value":2603,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2213,"base":3},"right_expr":{"type":"numeric_atoms","value":2560,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1662,"base":3},"right_expr":{"type":"numeric_atoms","value":4436,"base":3}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2405,"base":3},"right_expr":{"type":"numeric_atoms","value":2088,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1181,"base":3}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1091,"base":3}}}}},"used_operators":["B5M0gjZbta","rJVOvQCfKK","nCS4ZIUYfx","mp7IySMOzn","KYD54nUTWz","uFcxV4UQCh","2DQ55sFlQl","SUmda5xLS4","3ViojmjbAp","e1ybzncUwg","jLgFTUHLKL","JLbD19bQDL"],"dependent_operators":["rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3484","layer":4},{"info":"number node, value=3577","layer":4},{"info":"compute binary expreesion, left_input=3484, right_input=3577, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7154","layer":3},{"info":"number node, value=3354","layer":4},{"info":"number node, value=2603","layer":4},{"info":"compute binary expreesion, left_input=3354, right_input=2603, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5206","layer":3},{"info":"compute binary expreesion, left_input=7154, right_input=5206, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1948","layer":2},{"info":"number node, value=2213","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=2560, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2213","layer":3},{"info":"number node, value=1662","layer":4},{"info":"number node, value=4436","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=4436, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2213, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1948, 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=2405","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=2088, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2091","layer":3},{"info":"number node, value=1181","layer":4},{"info":"compute unary expreesion, input=1181, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1712","layer":3},{"info":"compute binary expreesion, left_input=-2091, right_input=1712, 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=1091","layer":4},{"info":"compute unary expreesion, input=1091, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=4844, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":3,"result_base":3,"text":"((⫏≰11210001⇷⫏≰11220111⨳⩥⨓⫏≰11121020⇷⫏≰10120102)⨎(⫏≰10000222⪛⫏≰10111211⫥∨⫟(⫏≰2021120⫥∨⫟⫏≰20002022)))↬(⫏≰10022002⨓⫏≰2212100⪄(≉⫏≰1121202)⨵⪆(↩(⫏≰1111102⪠⩆⊳)))=NaN","reverse_text":"NaN=((⫏≰11210001⇷⫏≰11220111⨳⩥⨓⫏≰11121020⇷⫏≰10120102)⨎(⫏≰10000222⪛⫏≰10111211⫥∨⫟(⫏≰2021120⫥∨⫟⫏≰20002022)))↬(⫏≰10022002⨓⫏≰2212100⪄(≉⫏≰1121202)⨵⪆(↩(⫏≰1111102⪠⩆⊳)))","cot":[{"info":"⫏≰11210001⇷⫏≰11220111=⫏≰100210222","layer":3},{"info":"⫏≰11121020⇷⫏≰10120102=⫏≰21010211","layer":3},{"info":"⫏≰100210222⨳⩥⨓⫏≰21010211=⫏≰-2200011","layer":2},{"info":"⫏≰10000222⪛⫏≰10111211=⫏≰10000222","layer":3},{"info":"⫏≰2021120⫥∨⫟⫏≰20002022=NaN","layer":3},{"info":"⫏≰10000222⫥∨⫟NaN=NaN","layer":2},{"info":"⫏≰-2200011⨎NaN=NaN","layer":1},{"info":"⫏≰10022002⨓⫏≰2212100=⫏≰-2212110","layer":3},{"info":"≉⫏≰1121202=⫏≰2100102","layer":3},{"info":"⫏≰-2212110⪄⫏≰2100102=⫏≰12110101","layer":2},{"info":"⫏≰1111102⪠⩆⊳=⫏≰0","layer":3},{"info":"↩⫏≰0=⫏≰20122102","layer":2},{"info":"⫏≰12110101⨵⪆⫏≰20122102=⫏≰12221","layer":1},{"info":"NaN↬⫏≰12221=NaN","layer":0}]}
{"id":900,"expression_no_base_symbol":"∂(($6274$*$2106$)⇷($1117$⨰$1656$)⋷$1677$∀⇚≩$1380$↙($3330$⪨≂$1409$))","expression":"∂((⫏≰22121101*⫏≰2220000)⇷(⫏≰1112101⨰⫏≰2021100)⋷⫏≰2022010∀⇚≩⫏≰1220010↙(⫏≰11120100⪨≂⫏≰1221012))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13869,"operation_count":8,"complexity_ratio":1733.625,"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":6274,"base":3},"right_expr":{"type":"numeric_atoms","value":2106,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1117,"base":3},"right_expr":{"type":"numeric_atoms","value":1656,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1677,"base":3},"right_expr":{"type":"numeric_atoms","value":1380,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3330,"base":3},"right_expr":{"type":"numeric_atoms","value":1409,"base":3}}}}},"used_operators":["Uaa54Peajs","23Mk6UjR3U","mp7IySMOzn","9HNa5Wba9A","eewbuw0ToL","yyfyN0ffXY","LRNGc0VcxI","sdazOOVcIp"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6274","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=6274, right_input=2106, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13213044","layer":3},{"info":"number node, value=1117","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1656, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-529","layer":3},{"info":"compute binary expreesion, left_input=13213044, right_input=-529, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1677","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=1380, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3330","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=3330, right_input=1409, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3944","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3944, 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 = 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 = 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":3,"result_base":3,"text":"∂((⫏≰22121101*⫏≰2220000)⇷(⫏≰1112101⨰⫏≰2021100)⋷⫏≰2022010∀⇚≩⫏≰1220010↙(⫏≰11120100⪨≂⫏≰1221012))=NaN","reverse_text":"NaN=∂((⫏≰22121101*⫏≰2220000)⇷(⫏≰1112101⨰⫏≰2021100)⋷⫏≰2022010∀⇚≩⫏≰1220010↙(⫏≰11120100⪨≂⫏≰1221012))","cot":[{"info":"⫏≰22121101*⫏≰2220000=⫏≰220212021220000","layer":3},{"info":"⫏≰1112101⨰⫏≰2021100=⫏≰-201121","layer":3},{"info":"⫏≰220212021220000⇷⫏≰-201121=NaN","layer":2},{"info":"⫏≰2022010∀⇚≩⫏≰1220010=NaN","layer":3},{"info":"⫏≰11120100⪨≂⫏≰1221012=⫏≰12102002","layer":3},{"info":"NaN↙⫏≰12102002=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":901,"expression_no_base_symbol":"⨈⫕(⨵≀≌($3093$⪢$2635$⋷(+⊝⨔$2100$)))","expression":"⨈⫕(⨵≀≌(⫏≰11020120⪢⫏≰10121121⋷(+⊝⨔⫏≰2212210)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4807,"operation_count":5,"complexity_ratio":961.4,"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":3093,"base":3},"right_expr":{"type":"numeric_atoms","value":2635,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2100,"base":3}}}}},"used_operators":["megm06wKyl","srAu1WTS94","23Mk6UjR3U","dWAJyo7jo9","DhbWaqg5eL"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3093","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=2635, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2100","layer":4},{"info":"compute unary expreesion, input=2100, 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 = 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾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":3,"result_base":3,"text":"⨈⫕(⨵≀≌(⫏≰11020120⪢⫏≰10121121⋷(+⊝⨔⫏≰2212210)))=⫏≰-210","reverse_text":"⫏≰-210=⨈⫕(⨵≀≌(⫏≰11020120⪢⫏≰10121121⋷(+⊝⨔⫏≰2212210)))","cot":[{"info":"⫏≰11020120⪢⫏≰10121121=NaN","layer":3},{"info":"+⊝⨔⫏≰2212210=⫏≰2002101","layer":3},{"info":"NaN⋷⫏≰2002101=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⨈⫕NaN=⫏≰-210","layer":0}]}
{"id":902,"expression_no_base_symbol":"(($8092$⨵⪆$2382$)⩷∴($1998$⩠)⇼⇔∾($3954$⋷$1356$)⩷∴($1006$≧⫂∧$4201$))∼(($1893$∼$2107$⫩⊇)⨰($5525$⨰$3081$⩚⊴⇥($4069$%$7395$)))","expression":"((⫏≰102002201⨵⪆⫏≰10021020)⩷∴(⫏≰2202000⩠)⇼⇔∾(⫏≰12102110⋷⫏≰1212020)⩷∴(⫏≰1101021≧⫂∧⫏≰12202121))∼((⫏≰2121010∼⫏≰2220001⫩⊇)⨰(⫏≰21120122⨰⫏≰11020010⩚⊴⇥(⫏≰12120201%⫏≰101010220)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":297,"operation_count":14,"complexity_ratio":21.214285714285715,"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":8092,"base":3},"right_expr":{"type":"numeric_atoms","value":2382,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1998,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3954,"base":3},"right_expr":{"type":"numeric_atoms","value":1356,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1006,"base":3},"right_expr":{"type":"numeric_atoms","value":4201,"base":3}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1893,"base":3},"right_expr":{"type":"numeric_atoms","value":2107,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5525,"base":3},"right_expr":{"type":"numeric_atoms","value":3081,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4069,"base":3},"right_expr":{"type":"numeric_atoms","value":7395,"base":3}}}}},"used_operators":["DyGG3AbaNP","tifHPKVTfV","9FxExcQeMw","2DQ55sFlQl","sJAwomhLZr","23Mk6UjR3U","Ph9nP6C5qx","eewbuw0ToL","BjRHVeLaeN","NTOWxs364D","k8jYdgA6NY"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8092","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=8092, right_input=2382, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1998","layer":4},{"info":"compute unary expreesion, input=1998, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=288","layer":2},{"info":"number node, value=3954","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=3954, right_input=1356, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1242","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=4201","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=4201, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3728","layer":3},{"info":"compute binary expreesion, left_input=-1242, right_input=3728, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9972","layer":2},{"info":"compute binary expreesion, left_input=288, right_input=-9972, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-10260","layer":1},{"info":"number node, value=1893","layer":4},{"info":"number node, value=2107","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=2107, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"number node, value=5525","layer":4},{"info":"number node, value=3081","layer":4},{"info":"compute binary expreesion, left_input=5525, right_input=3081, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2454","layer":3},{"info":"number node, value=4069","layer":4},{"info":"number node, value=7395","layer":4},{"info":"compute binary expreesion, left_input=4069, right_input=7395, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4069","layer":3},{"info":"compute binary expreesion, left_input=2454, right_input=4069, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6644","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6644, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10260, 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":3,"result_base":3,"text":"((⫏≰102002201⨵⪆⫏≰10021020)⩷∴(⫏≰2202000⩠)⇼⇔∾(⫏≰12102110⋷⫏≰1212020)⩷∴(⫏≰1101021≧⫂∧⫏≰12202121))∼((⫏≰2121010∼⫏≰2220001⫩⊇)⨰(⫏≰21120122⨰⫏≰11020010⩚⊴⇥(⫏≰12120201%⫏≰101010220)))=NaN","reverse_text":"NaN=((⫏≰102002201⨵⪆⫏≰10021020)⩷∴(⫏≰2202000⩠)⇼⇔∾(⫏≰12102110⋷⫏≰1212020)⩷∴(⫏≰1101021≧⫂∧⫏≰12202121))∼((⫏≰2121010∼⫏≰2220001⫩⊇)⨰(⫏≰21120122⨰⫏≰11020010⩚⊴⇥(⫏≰12120201%⫏≰101010220)))","cot":[{"info":"⫏≰102002201⨵⪆⫏≰10021020=⫏≰12221","layer":3},{"info":"⫏≰2202000⩠=⫏≰0","layer":3},{"info":"⫏≰12221⩷∴⫏≰0=⫏≰101200","layer":2},{"info":"⫏≰12102110⋷⫏≰1212020=⫏≰-1201000","layer":3},{"info":"⫏≰1101021≧⫂∧⫏≰12202121=⫏≰12010002","layer":3},{"info":"⫏≰-1201000⩷∴⫏≰12010002=⫏≰-111200100","layer":2},{"info":"⫏≰101200⇼⇔∾⫏≰-111200100=⫏≰-112002000","layer":1},{"info":"⫏≰2121010∼⫏≰2220001=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"⫏≰21120122⨰⫏≰11020010=⫏≰10100220","layer":3},{"info":"⫏≰12120201%⫏≰101010220=⫏≰12120201","layer":3},{"info":"⫏≰10100220⩚⊴⇥⫏≰12120201=⫏≰-100010002","layer":2},{"info":"NaN⨰⫏≰-100010002=NaN","layer":1},{"info":"⫏≰-112002000∼NaN=NaN","layer":0}]}
{"id":903,"expression_no_base_symbol":"(($3545$⇼⇔∾$5227$⇼⇔∾$1483$⫸⊐$5786$)⨰((↯⪼$6528$)/($1147$⫌⩹⨱)))⨟⋌⩍(⫛⫱⨽(($5107$⊭∹↮)⇋≉))","expression":"((⫏≰11212022⇼⇔∾⫏≰21011121⇼⇔∾⫏≰2000221⫸⊐⫏≰21221022)⨰((↯⪼⫏≰22221210)/(⫏≰1120111⫌⩹⨱)))⨟⋌⩍(⫛⫱⨽((⫏≰21000011⊭∹↮)⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1505,"operation_count":11,"complexity_ratio":136.8181818181818,"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":3545,"base":3},"right_expr":{"type":"numeric_atoms","value":5227,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1483,"base":3},"right_expr":{"type":"numeric_atoms","value":5786,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6528,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1147,"base":3}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5107,"base":3}}}}},"used_operators":["rGHVDoGpnC","eewbuw0ToL","tifHPKVTfV","mqXw5SEYmG","XhwjNDsVaA","8jW3W4yZS5","EBcxylXtPf","DlLNRPXxWL","XIabStNQrY","xNBdhnnwKq"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫏≰1002021200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3545","layer":4},{"info":"number node, value=5227","layer":4},{"info":"compute binary expreesion, left_input=3545, right_input=5227, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1682","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=5786","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=5786, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23019","layer":3},{"info":"compute binary expreesion, left_input=1682, right_input=23019, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=21337","layer":2},{"info":"number node, value=6528","layer":4},{"info":"compute unary expreesion, input=6528, 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=1147","layer":4},{"info":"compute unary expreesion, input=1147, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3695","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=3695, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=21337, right_input=-1, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=21348","layer":1},{"info":"number node, value=5107","layer":4},{"info":"compute unary expreesion, input=5107, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10214","layer":3},{"info":"compute unary expreesion, input=10214, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=20330","layer":2},{"info":"compute unary expreesion, input=20330, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=21348, 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=21348","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11212022⇼⇔∾⫏≰21011121⇼⇔∾⫏≰2000221⫸⊐⫏≰21221022)⨰((↯⪼⫏≰22221210)/(⫏≰1120111⫌⩹⨱)))⨟⋌⩍(⫛⫱⨽((⫏≰21000011⊭∹↮)⇋≉))=⫏≰1002021200","reverse_text":"⫏≰1002021200=((⫏≰11212022⇼⇔∾⫏≰21011121⇼⇔∾⫏≰2000221⫸⊐⫏≰21221022)⨰((↯⪼⫏≰22221210)/(⫏≰1120111⫌⩹⨱)))⨟⋌⩍(⫛⫱⨽((⫏≰21000011⊭∹↮)⇋≉))","cot":[{"info":"⫏≰11212022⇼⇔∾⫏≰21011121=⫏≰2022022","layer":3},{"info":"⫏≰2000221⫸⊐⫏≰21221022=⫏≰1011120120","layer":3},{"info":"⫏≰2022022⇼⇔∾⫏≰1011120120=⫏≰1002021021","layer":2},{"info":"↯⪼⫏≰22221210=⫏≰-210","layer":3},{"info":"⫏≰1120111⫌⩹⨱=⫏≰12001212","layer":3},{"info":"⫏≰-210/⫏≰12001212=⫏≰-1","layer":2},{"info":"⫏≰1002021021⨰⫏≰-1=⫏≰1002021200","layer":1},{"info":"⫏≰21000011⊭∹↮=⫏≰112000022","layer":3},{"info":"⫏≰112000022⇋≉=⫏≰1000212222","layer":2},{"info":"⫛⫱⨽⫏≰1000212222=⫏≰0","layer":1},{"info":"⫏≰1002021200⨟⋌⩍⫏≰0=⫏≰1002021200","layer":0}]}
{"id":904,"expression_no_base_symbol":"(((⊙↵-$3969$)↪⪝)⨸⪁(↔($4625$⨐⩸⫘$2396$)))⫸⊐(($3220$⪄$3213$)≧⫂∧(≤/$5483$)⋷(-$1118$)↺($2134$↪⪝))","expression":"(((⊙↵-⫏≰12110000)↪⪝)⨸⪁(↔(⫏≰20100022⨐⩸⫘⫏≰10021202)))⫸⊐((⫏≰11102021⪄⫏≰11102000)≧⫂∧(≤/⫏≰21112002)⋷(-⫏≰1112102)↺(⫏≰2221001↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4955,"operation_count":13,"complexity_ratio":381.15384615384613,"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":3969,"base":3}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4625,"base":3},"right_expr":{"type":"numeric_atoms","value":2396,"base":3}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3220,"base":3},"right_expr":{"type":"numeric_atoms","value":3213,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5483,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1118,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2134,"base":3}}}}},"used_operators":["mqXw5SEYmG","g55IO6H4Gj","l07mrZUIn9","oWn0xqSxBt","ruOEQAzv1W","fu6greOZ01","23Mk6UjR3U","Ph9nP6C5qx","SUmda5xLS4","eLAdDNolq6","7j4O788W3g","t8gj7n24qd"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰1022212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3969","layer":4},{"info":"compute unary expreesion, input=3969, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-61182","layer":2},{"info":"number node, value=4625","layer":4},{"info":"number node, value=2396","layer":4},{"info":"compute binary expreesion, left_input=4625, right_input=2396, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-61182, right_input=-134, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-122632","layer":1},{"info":"number node, value=3220","layer":4},{"info":"number node, value=3213","layer":4},{"info":"compute binary expreesion, left_input=3220, right_input=3213, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-485501","layer":3},{"info":"number node, value=5483","layer":4},{"info":"compute unary expreesion, input=5483, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4999","layer":3},{"info":"compute binary expreesion, left_input=-485501, right_input=-4999, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-480502","layer":2},{"info":"number node, value=1118","layer":4},{"info":"compute unary expreesion, input=1118, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1118","layer":3},{"info":"number node, value=2134","layer":4},{"info":"compute unary expreesion, input=2134, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=130562388","layer":3},{"info":"compute binary expreesion, left_input=-1118, right_input=130562388, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=130562388","layer":2},{"info":"compute binary expreesion, left_input=-480502, right_input=130562388, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=961004","layer":1},{"info":"compute binary expreesion, left_input=-122632, right_input=961004, 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":3,"result_base":3,"text":"(((⊙↵-⫏≰12110000)↪⪝)⨸⪁(↔(⫏≰20100022⨐⩸⫘⫏≰10021202)))⫸⊐((⫏≰11102021⪄⫏≰11102000)≧⫂∧(≤/⫏≰21112002)⋷(-⫏≰1112102)↺(⫏≰2221001↪⪝))=⫏≰1022212","reverse_text":"⫏≰1022212=(((⊙↵-⫏≰12110000)↪⪝)⨸⪁(↔(⫏≰20100022⨐⩸⫘⫏≰10021202)))⫸⊐((⫏≰11102021⪄⫏≰11102000)≧⫂∧(≤/⫏≰21112002)⋷(-⫏≰1112102)↺(⫏≰2221001↪⪝))","cot":[{"info":"⊙↵-⫏≰12110000=⫏≰-1","layer":3},{"info":"⫏≰-1↪⪝=⫏≰-10002221000","layer":2},{"info":"⫏≰20100022⨐⩸⫘⫏≰10021202=NaN","layer":3},{"info":"↔NaN=⫏≰-11222","layer":2},{"info":"⫏≰-10002221000⨸⪁⫏≰-11222=⫏≰-20020012221","layer":1},{"info":"⫏≰11102021⪄⫏≰11102000=⫏≰-220122222112","layer":3},{"info":"≤/⫏≰21112002=⫏≰-20212011","layer":3},{"info":"⫏≰-220122222112≧⫂∧⫏≰-20212011=⫏≰-220102010101","layer":2},{"info":"-⫏≰1112102=⫏≰-1112102","layer":3},{"info":"⫏≰2221001↪⪝=⫏≰100002200020221000","layer":3},{"info":"⫏≰-1112102↺⫏≰100002200020221000=⫏≰100002200020221000","layer":2},{"info":"⫏≰-220102010101⋷⫏≰100002200020221000=⫏≰1210211020202","layer":1},{"info":"⫏≰-20020012221⫸⊐⫏≰1210211020202=⫏≰1022212","layer":0}]}
{"id":905,"expression_no_base_symbol":"(⨵≀≌($2563$∸)≧⫂∧$2931$⪮%⊝$3822$)⪘⫢(⨈⫕($2917$+$1214$)⩷∴($5093$*$4012$))","expression":"(⨵≀≌(⫏≰10111221∸)≧⫂∧⫏≰11000120⪮%⊝⫏≰12020120)⪘⫢(⨈⫕(⫏≰11000001+⫏≰1122222)⩷∴(⫏≰20222122*⫏≰12111121))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4604,"operation_count":9,"complexity_ratio":511.55555555555554,"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":2563,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2931,"base":3},"right_expr":{"type":"numeric_atoms","value":3822,"base":3}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2917,"base":3},"right_expr":{"type":"numeric_atoms","value":1214,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5093,"base":3},"right_expr":{"type":"numeric_atoms","value":4012,"base":3}}}}},"used_operators":["oacrs7FA3X","srAu1WTS94","Ph9nP6C5qx","o20kRiQErp","IWmyXbctLI","megm06wKyl","9FxExcQeMw","W4YGzv6Whe","9HNa5Wba9A"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe"],"result":"⫏≰-1","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2563","layer":4},{"info":"compute unary expreesion, input=2563, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=2931","layer":4},{"info":"number node, value=3822","layer":4},{"info":"compute binary expreesion, left_input=2931, right_input=3822, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6178","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=6178, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5705","layer":2},{"info":"compute unary expreesion, input=5705, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17115","layer":1},{"info":"number node, value=2917","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=2917, right_input=1214, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4131","layer":3},{"info":"number node, value=5093","layer":4},{"info":"number node, value=4012","layer":4},{"info":"compute binary expreesion, left_input=5093, right_input=4012, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20433116","layer":3},{"info":"compute binary expreesion, left_input=4131, right_input=20433116, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-40858002","layer":2},{"info":"compute unary expreesion, input=-40858002, 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=-17115, 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=-1","layer":0}],"base":3,"result_base":3,"text":"(⨵≀≌(⫏≰10111221∸)≧⫂∧⫏≰11000120⪮%⊝⫏≰12020120)⪘⫢(⨈⫕(⫏≰11000001+⫏≰1122222)⩷∴(⫏≰20222122*⫏≰12111121))=⫏≰-1","reverse_text":"⫏≰-1=(⨵≀≌(⫏≰10111221∸)≧⫂∧⫏≰11000120⪮%⊝⫏≰12020120)⪘⫢(⨈⫕(⫏≰11000001+⫏≰1122222)⩷∴(⫏≰20222122*⫏≰12111121))","cot":[{"info":"⫏≰10111221∸=⫏≰20120","layer":3},{"info":"⫏≰11000120⪮%⊝⫏≰12020120=⫏≰22110211","layer":3},{"info":"⫏≰20120≧⫂∧⫏≰22110211=⫏≰21211022","layer":2},{"info":"⨵≀≌⫏≰21211022=⫏≰-212110220","layer":1},{"info":"⫏≰11000001+⫏≰1122222=⫏≰12200000","layer":3},{"info":"⫏≰20222122*⫏≰12111121=⫏≰1102110002222002","layer":3},{"info":"⫏≰12200000⩷∴⫏≰1102110002222002=⫏≰-2211212210122100","layer":2},{"info":"⨈⫕⫏≰-2211212210122100=⫏≰-210","layer":1},{"info":"⫏≰-212110220⪘⫢⫏≰-210=⫏≰-1","layer":0}]}
{"id":906,"expression_no_base_symbol":"(($3203$-$1744$)⪐)≹⇙⪍($4129$⋥≓≎$2020$⫸⊐(⫛⫱⨽$7157$))+⇶⊼(⋗⩬⋾(($5891$⊪)↪⪝))","expression":"((⫏≰11101122-⫏≰2101121)⪐)≹⇙⪍(⫏≰12122221⋥≓≎⫏≰2202211⫸⊐(⫛⫱⨽⫏≰100211002))+⇶⊼(⋗⩬⋾((⫏≰22002012⊪)↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":187238,"operation_count":10,"complexity_ratio":18723.8,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3203,"base":3},"right_expr":{"type":"numeric_atoms","value":1744,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4129,"base":3},"right_expr":{"type":"numeric_atoms","value":2020,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7157,"base":3}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5891,"base":3}}}}},"used_operators":["TpPTUOHfaN","AHs5Up7iyr","eH2TOUuTDT","rysDP5nf3Z","mqXw5SEYmG","Qy55tPpLXF","DlLNRPXxWL","DpFCA1CohY","l07mrZUIn9","zVYPLywUTj"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3203","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=1744, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1459","layer":3},{"info":"compute unary expreesion, input=1459, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2918","layer":2},{"info":"number node, value=4129","layer":4},{"info":"number node, value=2020","layer":4},{"info":"compute binary expreesion, left_input=4129, right_input=2020, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-56","layer":3},{"info":"number node, value=7157","layer":4},{"info":"compute unary expreesion, input=7157, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-56, 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=428","layer":2},{"info":"compute binary expreesion, left_input=2918, right_input=428, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=5891","layer":4},{"info":"compute unary expreesion, input=5891, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(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":0}],"base":3,"result_base":3,"text":"((⫏≰11101122-⫏≰2101121)⪐)≹⇙⪍(⫏≰12122221⋥≓≎⫏≰2202211⫸⊐(⫛⫱⨽⫏≰100211002))+⇶⊼(⋗⩬⋾((⫏≰22002012⊪)↪⪝))=⫏≰0","reverse_text":"⫏≰0=((⫏≰11101122-⫏≰2101121)⪐)≹⇙⪍(⫏≰12122221⋥≓≎⫏≰2202211⫸⊐(⫛⫱⨽⫏≰100211002))+⇶⊼(⋗⩬⋾((⫏≰22002012⊪)↪⪝))","cot":[{"info":"⫏≰11101122-⫏≰2101121=⫏≰2000001","layer":3},{"info":"⫏≰2000001⪐=⫏≰11000002","layer":2},{"info":"⫏≰12122221⋥≓≎⫏≰2202211=⫏≰-2002","layer":3},{"info":"⫛⫱⨽⫏≰100211002=⫏≰0","layer":3},{"info":"⫏≰-2002⫸⊐⫏≰0=⫏≰120212","layer":2},{"info":"⫏≰11000002≹⇙⪍⫏≰120212=NaN","layer":1},{"info":"⫏≰22002012⊪=⫏≰0","layer":3},{"info":"⫏≰0↪⪝=⫏≰0","layer":2},{"info":"⋗⩬⋾⫏≰0=⫏≰0","layer":1},{"info":"NaN+⇶⊼⫏≰0=⫏≰0","layer":0}]}
{"id":907,"expression_no_base_symbol":"(($1705$⪨≂$3045$)⪛(⩦⩻⨪$3216$)⫸⊐$2018$∼$1534$+⇶⊼($5812$⨳⩥⨓$6231$))⨎(($1095$⨁⊸⫻)⋳⪒($1202$⨐⩸⫘$1552$))≭$2866$⪮%⊝$4753$⩷∴($4766$⇼⇔∾$2292$)","expression":"((⫏≰2100011⪨≂⫏≰11011210)⪛(⩦⩻⨪⫏≰11102010)⫸⊐⫏≰2202202∼⫏≰2002211+⇶⊼(⫏≰21222021⨳⩥⨓⫏≰22112210))⨎((⫏≰1111120⨁⊸⫻)⋳⪒(⫏≰1122112⨐⩸⫘⫏≰2010111))≭⫏≰10221011⪮%⊝⫏≰20112001⩷∴(⫏≰20112112⇼⇔∾⫏≰10010220)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":107,"operation_count":15,"complexity_ratio":7.133333333333334,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1705,"base":3},"right_expr":{"type":"numeric_atoms","value":3045,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3216,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2018,"base":3},"right_expr":{"type":"numeric_atoms","value":1534,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5812,"base":3},"right_expr":{"type":"numeric_atoms","value":6231,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1095,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1202,"base":3},"right_expr":{"type":"numeric_atoms","value":1552,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2866,"base":3},"right_expr":{"type":"numeric_atoms","value":4753,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4766,"base":3},"right_expr":{"type":"numeric_atoms","value":2292,"base":3}}}}},"used_operators":["rJVOvQCfKK","mqXw5SEYmG","uFcxV4UQCh","sdazOOVcIp","2td37pGCOC","TpPTUOHfaN","DyGG3AbaNP","nCS4ZIUYfx","rxpJgHHUmx","12rbrZMWeM","glklzrTFfD","fu6greOZ01","9FxExcQeMw","IWmyXbctLI","tifHPKVTfV"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1705","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=3045, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2578","layer":3},{"info":"number node, value=3216","layer":4},{"info":"compute unary expreesion, input=3216, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3216","layer":3},{"info":"compute binary expreesion, left_input=-2578, right_input=3216, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=638","layer":2},{"info":"number node, value=2018","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=2018, right_input=1534, 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=5812","layer":4},{"info":"number node, value=6231","layer":4},{"info":"compute binary expreesion, left_input=5812, right_input=6231, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=419","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=419, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=638, 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=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1095","layer":3},{"info":"number node, value=1202","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=1552, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1095, 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=2866","layer":4},{"info":"number node, value=4753","layer":4},{"info":"compute binary expreesion, left_input=2866, right_input=4753, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6048","layer":3},{"info":"number node, value=4766","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=4766, right_input=2292, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2474","layer":3},{"info":"compute binary expreesion, left_input=6048, right_input=-2474, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=17012","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17012, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2100011⪨≂⫏≰11011210)⪛(⩦⩻⨪⫏≰11102010)⫸⊐⫏≰2202202∼⫏≰2002211+⇶⊼(⫏≰21222021⨳⩥⨓⫏≰22112210))⨎((⫏≰1111120⨁⊸⫻)⋳⪒(⫏≰1122112⨐⩸⫘⫏≰2010111))≭⫏≰10221011⪮%⊝⫏≰20112001⩷∴(⫏≰20112112⇼⇔∾⫏≰10010220)=NaN","reverse_text":"NaN=((⫏≰2100011⪨≂⫏≰11011210)⪛(⩦⩻⨪⫏≰11102010)⫸⊐⫏≰2202202∼⫏≰2002211+⇶⊼(⫏≰21222021⨳⩥⨓⫏≰22112210))⨎((⫏≰1111120⨁⊸⫻)⋳⪒(⫏≰1122112⨐⩸⫘⫏≰2010111))≭⫏≰10221011⪮%⊝⫏≰20112001⩷∴(⫏≰20112112⇼⇔∾⫏≰10010220)","cot":[{"info":"⫏≰2100011⪨≂⫏≰11011210=⫏≰-10112111","layer":3},{"info":"⩦⩻⨪⫏≰11102010=⫏≰11102010","layer":3},{"info":"⫏≰-10112111⪛⫏≰11102010=⫏≰212122","layer":2},{"info":"⫏≰2202202∼⫏≰2002211=NaN","layer":3},{"info":"⫏≰21222021⨳⩥⨓⫏≰22112210=⫏≰120112","layer":3},{"info":"NaN+⇶⊼⫏≰120112=NaN","layer":2},{"info":"⫏≰212122⫸⊐NaN=NaN","layer":1},{"info":"⫏≰1111120⨁⊸⫻=⫏≰1111120","layer":3},{"info":"⫏≰1122112⨐⩸⫘⫏≰2010111=NaN","layer":3},{"info":"⫏≰1111120⋳⪒NaN=NaN","layer":2},{"info":"⫏≰10221011⪮%⊝⫏≰20112001=⫏≰22022000","layer":3},{"info":"⫏≰20112112⇼⇔∾⫏≰10010220=⫏≰-10101122","layer":3},{"info":"⫏≰22022000⩷∴⫏≰-10101122=⫏≰212100002","layer":2},{"info":"NaN≭⫏≰212100002=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":908,"expression_no_base_symbol":"((⪲⇎$2637$↬$1931$)⇼⇔∾($4928$%$4301$)⋥≓≎($1364$∧))⇷(($1435$∲⫓$9442$)≧⫂∧($1753$⨽$1034$)⩚⊴⇥(($1380$⩨$2351$)⊠≄⫣))","expression":"((⪲⇎⫏≰10121200↬⫏≰2122112)⇼⇔∾(⫏≰20202112%⫏≰12220022)⋥≓≎(⫏≰1212112∧))⇷((⫏≰1222011∲⫓⫏≰110221201)≧⫂∧(⫏≰2101221⨽⫏≰1102022)⩚⊴⇥((⫏≰1220010⩨⫏≰10020002)⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1801,"operation_count":13,"complexity_ratio":138.53846153846155,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2637,"base":3},"right_expr":{"type":"numeric_atoms","value":1931,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4928,"base":3},"right_expr":{"type":"numeric_atoms","value":4301,"base":3}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1364,"base":3}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1435,"base":3},"right_expr":{"type":"numeric_atoms","value":9442,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1753,"base":3},"right_expr":{"type":"numeric_atoms","value":1034,"base":3}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1380,"base":3},"right_expr":{"type":"numeric_atoms","value":2351,"base":3}}}}},"used_operators":["mp7IySMOzn","tifHPKVTfV","XPYlsWDdGa","B5M0gjZbta","Qy55tPpLXF","k8jYdgA6NY","z63VuFQld9","NTOWxs364D","Ph9nP6C5qx","i8ToyICDmI","8HhzD0ZcuI","DIvbN7qnHd","2DlMacCsIx"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2637","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=1931, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":"number node, value=4928","layer":4},{"info":"number node, value=4301","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=4301, op_id = k8jYdgA6NY binary_op_definition= 'None', output=627","layer":3},{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, 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=627, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1435","layer":4},{"info":"number node, value=9442","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=9442, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1753","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=1034, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9220815","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9220815, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=9220815","layer":2},{"info":"number node, value=1380","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=2351, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9220815, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9220936","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9220936, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⪲⇎⫏≰10121200↬⫏≰2122112)⇼⇔∾(⫏≰20202112%⫏≰12220022)⋥≓≎(⫏≰1212112∧))⇷((⫏≰1222011∲⫓⫏≰110221201)≧⫂∧(⫏≰2101221⨽⫏≰1102022)⩚⊴⇥((⫏≰1220010⩨⫏≰10020002)⊠≄⫣))=NaN","reverse_text":"NaN=((⪲⇎⫏≰10121200↬⫏≰2122112)⇼⇔∾(⫏≰20202112%⫏≰12220022)⋥≓≎(⫏≰1212112∧))⇷((⫏≰1222011∲⫓⫏≰110221201)≧⫂∧(⫏≰2101221⨽⫏≰1102022)⩚⊴⇥((⫏≰1220010⩨⫏≰10020002)⊠≄⫣))","cot":[{"info":"⫏≰10121200↬⫏≰2122112=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⫏≰20202112%⫏≰12220022=⫏≰212020","layer":3},{"info":"⫏≰1212112∧=NaN","layer":3},{"info":"⫏≰212020⋥≓≎NaN=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"⫏≰1222011∲⫓⫏≰110221201=⫏≰0","layer":3},{"info":"⫏≰2101221⨽⫏≰1102022=⫏≰-122100110120200","layer":3},{"info":"⫏≰0≧⫂∧⫏≰-122100110120200=⫏≰122100110120200","layer":2},{"info":"⫏≰1220010⩨⫏≰10020002=⫏≰-10","layer":3},{"info":"⫏≰-10⊠≄⫣=⫏≰0","layer":2},{"info":"⫏≰122100110120200⩚⊴⇥⫏≰0=⫏≰-122100110202011","layer":1},{"info":"NaN⇷⫏≰-122100110202011=NaN","layer":0}]}
{"id":909,"expression_no_base_symbol":"(((↩$1302$)+$1834$⊉≛↸$1024$)⊭∹↮)⨳⩥⨓(($2977$⨽$4084$)⨪↰⇹(⨵≀≌$3995$)⊦⊿)","expression":"(((↩⫏≰1210020)+⫏≰2111221⊉≛↸⫏≰1101221)⊭∹↮)⨳⩥⨓((⫏≰11002021⨽⫏≰12121021)⨪↰⇹(⨵≀≌⫏≰12110222)⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3019,"operation_count":9,"complexity_ratio":335.44444444444446,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1302,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1834,"base":3},"right_expr":{"type":"numeric_atoms","value":1024,"base":3}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2977,"base":3},"right_expr":{"type":"numeric_atoms","value":4084,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3995,"base":3}}}}},"used_operators":["nCS4ZIUYfx","xNBdhnnwKq","W4YGzv6Whe","jLgFTUHLKL","DZ8iAZOCBD","14qkJME0vr","tmPS8pqC7x","8HhzD0ZcuI","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7636","layer":3},{"info":"number node, value=1834","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=1024, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3668","layer":3},{"info":"compute binary expreesion, left_input=-7636, right_input=3668, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-3968","layer":2},{"info":"compute unary expreesion, input=-3968, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-3968","layer":1},{"info":"number node, value=2977","layer":4},{"info":"number node, value=4084","layer":4},{"info":"compute binary expreesion, left_input=2977, right_input=4084, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-26598525","layer":3},{"info":"number node, value=3995","layer":4},{"info":"compute unary expreesion, input=3995, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11985","layer":3},{"info":"compute binary expreesion, left_input=-26598525, right_input=-11985, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3968, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((↩⫏≰1210020)+⫏≰2111221⊉≛↸⫏≰1101221)⊭∹↮)⨳⩥⨓((⫏≰11002021⨽⫏≰12121021)⨪↰⇹(⨵≀≌⫏≰12110222)⊦⊿)=NaN","reverse_text":"NaN=(((↩⫏≰1210020)+⫏≰2111221⊉≛↸⫏≰1101221)⊭∹↮)⨳⩥⨓((⫏≰11002021⨽⫏≰12121021)⨪↰⇹(⨵≀≌⫏≰12110222)⊦⊿)","cot":[{"info":"↩⫏≰1210020=⫏≰-101110211","layer":3},{"info":"⫏≰2111221⊉≛↸⫏≰1101221=⫏≰12000212","layer":3},{"info":"⫏≰-101110211+⫏≰12000212=⫏≰-12102222","layer":2},{"info":"⫏≰-12102222⊭∹↮=⫏≰-12102222","layer":1},{"info":"⫏≰11002021⨽⫏≰12121021=⫏≰-1212001100022120","layer":3},{"info":"⨵≀≌⫏≰12110222=⫏≰-121102220","layer":3},{"info":"⫏≰-1212001100022120⨪↰⇹⫏≰-121102220=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⫏≰-12102222⨳⩥⨓NaN=NaN","layer":0}]}
{"id":910,"expression_no_base_symbol":"(⫓⪴((↩$1441$)↙($7774$↺$1653$)))⋷((↣≠⋷$3625$)↙($1565$⨳⩥⨓$4046$))⊴(($8652$⫩⊇)⪛(+⊝⨔$6438$))","expression":"(⫓⪴((↩⫏≰1222101)↙(⫏≰101122221↺⫏≰2021020)))⋷((↣≠⋷⫏≰11222021)↙(⫏≰2010222⨳⩥⨓⫏≰12112212))⊴((⫏≰102212110⫩⊇)⪛(+⊝⨔⫏≰22211110))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9355,"operation_count":12,"complexity_ratio":779.5833333333334,"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":1441,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7774,"base":3},"right_expr":{"type":"numeric_atoms","value":1653,"base":3}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3625,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1565,"base":3},"right_expr":{"type":"numeric_atoms","value":4046,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":8652,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6438,"base":3}}}}},"used_operators":["23Mk6UjR3U","eLxqMNBOBk","yyfyN0ffXY","jLgFTUHLKL","7j4O788W3g","Nsiff2A1zJ","Asc51vEJeQ","nCS4ZIUYfx","uFcxV4UQCh","BjRHVeLaeN","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1441","layer":4},{"info":"compute unary expreesion, input=1441, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8748","layer":3},{"info":"number node, value=7774","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=7774, right_input=1653, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1653","layer":3},{"info":"compute binary expreesion, left_input=-8748, right_input=1653, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8748","layer":2},{"info":"compute unary expreesion, input=-8748, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=76527504","layer":1},{"info":"number node, value=3625","layer":4},{"info":"compute unary expreesion, input=3625, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1565","layer":4},{"info":"number node, value=4046","layer":4},{"info":"compute binary expreesion, left_input=1565, right_input=4046, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2481","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2481, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=8652","layer":4},{"info":"compute unary expreesion, input=8652, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-8610","layer":3},{"info":"number node, value=6438","layer":4},{"info":"compute unary expreesion, input=6438, 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=-8610, right_input=1522, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=522, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=76527504, 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":3,"result_base":3,"text":"(⫓⪴((↩⫏≰1222101)↙(⫏≰101122221↺⫏≰2021020)))⋷((↣≠⋷⫏≰11222021)↙(⫏≰2010222⨳⩥⨓⫏≰12112212))⊴((⫏≰102212110⫩⊇)⪛(+⊝⨔⫏≰22211110))=NaN","reverse_text":"NaN=(⫓⪴((↩⫏≰1222101)↙(⫏≰101122221↺⫏≰2021020)))⋷((↣≠⋷⫏≰11222021)↙(⫏≰2010222⨳⩥⨓⫏≰12112212))⊴((⫏≰102212110⫩⊇)⪛(+⊝⨔⫏≰22211110))","cot":[{"info":"↩⫏≰1222101=⫏≰-110000000","layer":3},{"info":"⫏≰101122221↺⫏≰2021020=⫏≰2021020","layer":3},{"info":"⫏≰-110000000↙⫏≰2021020=⫏≰-110000000","layer":2},{"info":"⫓⪴⫏≰-110000000=⫏≰12100000000000000","layer":1},{"info":"↣≠⋷⫏≰11222021=NaN","layer":3},{"info":"⫏≰2010222⨳⩥⨓⫏≰12112212=⫏≰10101220","layer":3},{"info":"NaN↙⫏≰10101220=NaN","layer":2},{"info":"⫏≰102212110⫩⊇=⫏≰-102210220","layer":3},{"info":"+⊝⨔⫏≰22211110=⫏≰2002101","layer":3},{"info":"⫏≰-102210220⪛⫏≰2002101=⫏≰201100","layer":2},{"info":"NaN⊴⫏≰201100=NaN","layer":1},{"info":"⫏≰12100000000000000⋷NaN=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"-((≉$5768$)-(↔$2592$))⨰($2284$∼$4400$≭($2042$⊭↱$1244$))","expression":"-((≉⫏≰21220122)-(↔⫏≰10120000))⨰(⫏≰10010121∼⫏≰20000222≭(⫏≰2210122⊭↱⫏≰1201002))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":70,"operation_count":8,"complexity_ratio":8.75,"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":5768,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2592,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2284,"base":3},"right_expr":{"type":"numeric_atoms","value":4400,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2042,"base":3},"right_expr":{"type":"numeric_atoms","value":1244,"base":3}}}}},"used_operators":["t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","e1ybzncUwg","ruOEQAzv1W","rxpJgHHUmx","DyGG3AbaNP","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5768","layer":4},{"info":"compute unary expreesion, input=5768, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6299","layer":3},{"info":"number node, value=2592","layer":4},{"info":"compute unary expreesion, input=2592, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2319","layer":3},{"info":"compute binary expreesion, left_input=6299, right_input=-2319, op_id = rysDP5nf3Z binary_op_definition= 'None', output=8618","layer":2},{"info":"number node, value=2284","layer":4},{"info":"number node, value=4400","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=4400, 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=2042","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=1244, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1591","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1591, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=8618, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"-((≉⫏≰21220122)-(↔⫏≰10120000))⨰(⫏≰10010121∼⫏≰20000222≭(⫏≰2210122⊭↱⫏≰1201002))=NaN","reverse_text":"NaN=-((≉⫏≰21220122)-(↔⫏≰10120000))⨰(⫏≰10010121∼⫏≰20000222≭(⫏≰2210122⊭↱⫏≰1201002))","cot":[{"info":"≉⫏≰21220122=⫏≰22122022","layer":3},{"info":"↔⫏≰10120000=⫏≰-10011220","layer":3},{"info":"⫏≰22122022-⫏≰-10011220=⫏≰102211012","layer":2},{"info":"⫏≰10010121∼⫏≰20000222=NaN","layer":3},{"info":"⫏≰2210122⊭↱⫏≰1201002=⫏≰-2011221","layer":3},{"info":"NaN≭⫏≰-2011221=NaN","layer":2},{"info":"⫏≰102211012⨰NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":912,"expression_no_base_symbol":"($2004$⪒$1524$↪⪝)≹⇙⪍((∂$5830$)-$1627$⨽$7952$)⊉≛↸(($3939$⪒$2226$)⋝⋈⪟($2097$≣⋋))⇷((↩$3523$)∧)","expression":"(⫏≰2202020⪒⫏≰2002110↪⪝)≹⇙⪍((∂⫏≰21222221)-⫏≰2020021⨽⫏≰101220112)⊉≛↸((⫏≰12101220⪒⫏≰10001110)⋝⋈⪟(⫏≰2212200≣⋋))⇷((↩⫏≰11211111)∧)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":89204,"operation_count":13,"complexity_ratio":6861.846153846154,"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":2004,"base":3},"right_expr":{"type":"numeric_atoms","value":1524,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5830,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1627,"base":3},"right_expr":{"type":"numeric_atoms","value":7952,"base":3}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3939,"base":3},"right_expr":{"type":"numeric_atoms","value":2226,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2097,"base":3}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3523,"base":3}}}}},"used_operators":["DZ8iAZOCBD","AHs5Up7iyr","l07mrZUIn9","f6k1SAg4EE","rysDP5nf3Z","Uaa54Peajs","8HhzD0ZcuI","mp7IySMOzn","2DDjHMKMc0","Tcnh7f0tEr","z63VuFQld9","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2004","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=2004, right_input=1524, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3528","layer":3},{"info":"compute unary expreesion, input=-3528, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-215850096","layer":2},{"info":"number node, value=5830","layer":4},{"info":"compute unary expreesion, input=5830, 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=1627","layer":4},{"info":"number node, value=7952","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=7952, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7963929","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7963929, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-215850096, 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=3939","layer":4},{"info":"number node, value=2226","layer":4},{"info":"compute binary expreesion, left_input=3939, right_input=2226, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6165","layer":3},{"info":"number node, value=2097","layer":4},{"info":"compute unary expreesion, input=2097, 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=-6165, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-6165","layer":2},{"info":"number node, value=3523","layer":4},{"info":"compute unary expreesion, input=3523, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25404","layer":3},{"info":"compute unary expreesion, input=-25404, 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=-6165, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2202020⪒⫏≰2002110↪⪝)≹⇙⪍((∂⫏≰21222221)-⫏≰2020021⨽⫏≰101220112)⊉≛↸((⫏≰12101220⪒⫏≰10001110)⋝⋈⪟(⫏≰2212200≣⋋))⇷((↩⫏≰11211111)∧)=NaN","reverse_text":"NaN=(⫏≰2202020⪒⫏≰2002110↪⪝)≹⇙⪍((∂⫏≰21222221)-⫏≰2020021⨽⫏≰101220112)⊉≛↸((⫏≰12101220⪒⫏≰10001110)⋝⋈⪟(⫏≰2212200≣⋋))⇷((↩⫏≰11211111)∧)","cot":[{"info":"⫏≰2202020⪒⫏≰2002110=⫏≰-11211200","layer":3},{"info":"⫏≰-11211200↪⪝=⫏≰-120001011022200000","layer":2},{"info":"∂⫏≰21222221=NaN","layer":3},{"info":"⫏≰2020021⨽⫏≰101220112=⫏≰-112222121110100","layer":3},{"info":"NaN-⫏≰-112222121110100=NaN","layer":2},{"info":"⫏≰-120001011022200000≹⇙⪍NaN=NaN","layer":1},{"info":"⫏≰12101220⪒⫏≰10001110=⫏≰-22110100","layer":3},{"info":"⫏≰2212200≣⋋=⫏≰0","layer":3},{"info":"⫏≰-22110100⋝⋈⪟⫏≰0=⫏≰-22110100","layer":2},{"info":"↩⫏≰11211111=⫏≰-1021211220","layer":3},{"info":"⫏≰-1021211220∧=⫏≰0","layer":2},{"info":"⫏≰-22110100⇷⫏≰0=⫏≰0","layer":1},{"info":"NaN⊉≛↸⫏≰0=NaN","layer":0}]}
{"id":913,"expression_no_base_symbol":"(($2019$⨐⩸⫘$2053$)∼$1237$⪮%⊝$4126$⊉≛↸($1832$⩚⊴⇥$5154$)⋝⋈⪟($1053$⩨$8386$))⋳⪒(∂($4003$≧⫂∧$2261$))⨓($8028$⪘⫢$5262$⨰($1530$⨸⪁$6292$))","expression":"((⫏≰2202210⨐⩸⫘⫏≰2211001)∼⫏≰1200211⪮%⊝⫏≰12122211⊉≛↸(⫏≰2111212⩚⊴⇥⫏≰21001220)⋝⋈⪟(⫏≰1110000⩨⫏≰102111121))⋳⪒(∂(⫏≰12111021≧⫂∧⫏≰10002202))⨓(⫏≰102000100⪘⫢⫏≰21012220⨰(⫏≰2002200⨸⪁⫏≰22122001))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":368,"operation_count":14,"complexity_ratio":26.285714285714285,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2019,"base":3},"right_expr":{"type":"numeric_atoms","value":2053,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1237,"base":3},"right_expr":{"type":"numeric_atoms","value":4126,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1832,"base":3},"right_expr":{"type":"numeric_atoms","value":5154,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1053,"base":3},"right_expr":{"type":"numeric_atoms","value":8386,"base":3}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4003,"base":3},"right_expr":{"type":"numeric_atoms","value":2261,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8028,"base":3},"right_expr":{"type":"numeric_atoms","value":5262,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1530,"base":3},"right_expr":{"type":"numeric_atoms","value":6292,"base":3}}}}},"used_operators":["12rbrZMWeM","DZ8iAZOCBD","DyGG3AbaNP","fu6greOZ01","IWmyXbctLI","2DDjHMKMc0","NTOWxs364D","2DlMacCsIx","3ViojmjbAp","Uaa54Peajs","Ph9nP6C5qx","eewbuw0ToL","oacrs7FA3X","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2019","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=2053, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1237","layer":4},{"info":"number node, value=4126","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=4126, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2790","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2790, 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=1832","layer":4},{"info":"number node, value=5154","layer":4},{"info":"compute binary expreesion, left_input=1832, right_input=5154, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7107","layer":3},{"info":"number node, value=1053","layer":4},{"info":"number node, value=8386","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=8386, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-7107, right_input=-21, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-7107","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7107, 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=4003","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=4003, right_input=2261, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1788","layer":3},{"info":"compute unary expreesion, input=1788, 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=8028","layer":4},{"info":"number node, value=5262","layer":4},{"info":"compute binary expreesion, left_input=8028, right_input=5262, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=15932","layer":3},{"info":"number node, value=1530","layer":4},{"info":"number node, value=6292","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=6292, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15644","layer":3},{"info":"compute binary expreesion, left_input=15932, right_input=15644, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=298","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=298, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-301","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-301, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2202210⨐⩸⫘⫏≰2211001)∼⫏≰1200211⪮%⊝⫏≰12122211⊉≛↸(⫏≰2111212⩚⊴⇥⫏≰21001220)⋝⋈⪟(⫏≰1110000⩨⫏≰102111121))⋳⪒(∂(⫏≰12111021≧⫂∧⫏≰10002202))⨓(⫏≰102000100⪘⫢⫏≰21012220⨰(⫏≰2002200⨸⪁⫏≰22122001))=NaN","reverse_text":"NaN=((⫏≰2202210⨐⩸⫘⫏≰2211001)∼⫏≰1200211⪮%⊝⫏≰12122211⊉≛↸(⫏≰2111212⩚⊴⇥⫏≰21001220)⋝⋈⪟(⫏≰1110000⩨⫏≰102111121))⋳⪒(∂(⫏≰12111021≧⫂∧⫏≰10002202))⨓(⫏≰102000100⪘⫢⫏≰21012220⨰(⫏≰2002200⨸⪁⫏≰22122001))","cot":[{"info":"⫏≰2202210⨐⩸⫘⫏≰2211001=NaN","layer":3},{"info":"⫏≰1200211⪮%⊝⫏≰12122211=⫏≰10211100","layer":3},{"info":"NaN∼⫏≰10211100=NaN","layer":2},{"info":"⫏≰2111212⩚⊴⇥⫏≰21001220=⫏≰-100202020","layer":3},{"info":"⫏≰1110000⩨⫏≰102111121=⫏≰-210","layer":3},{"info":"⫏≰-100202020⋝⋈⪟⫏≰-210=⫏≰-100202020","layer":2},{"info":"NaN⊉≛↸⫏≰-100202020=NaN","layer":1},{"info":"⫏≰12111021≧⫂∧⫏≰10002202=⫏≰2110020","layer":3},{"info":"∂⫏≰2110020=NaN","layer":2},{"info":"⫏≰102000100⪘⫢⫏≰21012220=⫏≰210212002","layer":3},{"info":"⫏≰2002200⨸⪁⫏≰22122001=⫏≰210110102","layer":3},{"info":"⫏≰210212002⨰⫏≰210110102=⫏≰102001","layer":2},{"info":"NaN⨓⫏≰102001=⫏≰-102011","layer":1},{"info":"NaN⋳⪒⫏≰-102011=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"($3458$⋫)⨓($4957$↙$2705$)≧⫂∧($5580$⪘⫢$1280$+(↯⪼$1624$))↙($4438$*$2900$∲⫓$3948$∀⇚≩$9083$⨵⪆(≦∁($1491$⋷$1767$)))","expression":"(⫏≰11202002⋫)⨓(⫏≰20210121↙⫏≰10201012)≧⫂∧(⫏≰21122200⪘⫢⫏≰1202102+(↯⪼⫏≰2020011))↙(⫏≰20002101*⫏≰10222102∲⫓⫏≰12102020∀⇚≩⫏≰110110102⨵⪆(≦∁(⫏≰2001020⋷⫏≰2102110)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45041,"operation_count":14,"complexity_ratio":3217.214285714286,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3458,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4957,"base":3},"right_expr":{"type":"numeric_atoms","value":2705,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5580,"base":3},"right_expr":{"type":"numeric_atoms","value":1280,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1624,"base":3}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4438,"base":3},"right_expr":{"type":"numeric_atoms","value":2900,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3948,"base":3},"right_expr":{"type":"numeric_atoms","value":9083,"base":3}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1491,"base":3},"right_expr":{"type":"numeric_atoms","value":1767,"base":3}}}}},"used_operators":["yyfyN0ffXY","Ph9nP6C5qx","3ViojmjbAp","JL8yIekQnl","W4YGzv6Whe","oacrs7FA3X","8jW3W4yZS5","2DQ55sFlQl","i8ToyICDmI","9HNa5Wba9A","LRNGc0VcxI","9ICcGScMcE","23Mk6UjR3U"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-122210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3458","layer":4},{"info":"compute unary expreesion, input=3458, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3458","layer":3},{"info":"number node, value=4957","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=4957, right_input=2705, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8115","layer":3},{"info":"compute binary expreesion, left_input=3458, right_input=-8115, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8118","layer":2},{"info":"number node, value=5580","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=5580, right_input=1280, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11036","layer":3},{"info":"number node, value=1624","layer":4},{"info":"compute unary expreesion, input=1624, 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=11036, right_input=-21, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11015","layer":2},{"info":"compute binary expreesion, left_input=-8118, right_input=11015, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=10542","layer":1},{"info":"number node, value=4438","layer":4},{"info":"number node, value=2900","layer":4},{"info":"compute binary expreesion, left_input=4438, right_input=2900, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12870200","layer":3},{"info":"number node, value=3948","layer":4},{"info":"number node, value=9083","layer":4},{"info":"compute binary expreesion, left_input=3948, right_input=9083, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=12870200, 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=1491","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=1767, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2043","layer":3},{"info":"compute unary expreesion, input=2043, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2043","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2043, 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=10542, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-480","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11202002⋫)⨓(⫏≰20210121↙⫏≰10201012)≧⫂∧(⫏≰21122200⪘⫢⫏≰1202102+(↯⪼⫏≰2020011))↙(⫏≰20002101*⫏≰10222102∲⫓⫏≰12102020∀⇚≩⫏≰110110102⨵⪆(≦∁(⫏≰2001020⋷⫏≰2102110)))=⫏≰-122210","reverse_text":"⫏≰-122210=(⫏≰11202002⋫)⨓(⫏≰20210121↙⫏≰10201012)≧⫂∧(⫏≰21122200⪘⫢⫏≰1202102+(↯⪼⫏≰2020011))↙(⫏≰20002101*⫏≰10222102∲⫓⫏≰12102020∀⇚≩⫏≰110110102⨵⪆(≦∁(⫏≰2001020⋷⫏≰2102110)))","cot":[{"info":"⫏≰11202002⋫=⫏≰11202002","layer":3},{"info":"⫏≰20210121↙⫏≰10201012=⫏≰-102010120","layer":3},{"info":"⫏≰11202002⨓⫏≰-102010120=⫏≰-102010200","layer":2},{"info":"⫏≰21122200⪘⫢⫏≰1202102=⫏≰120010202","layer":3},{"info":"↯⪼⫏≰2020011=⫏≰-210","layer":3},{"info":"⫏≰120010202+⫏≰-210=⫏≰120002222","layer":2},{"info":"⫏≰-102010200≧⫂∧⫏≰120002222=⫏≰112110110","layer":1},{"info":"⫏≰20002101*⫏≰10222102=⫏≰220012212121002","layer":3},{"info":"⫏≰12102020∀⇚≩⫏≰110110102=NaN","layer":3},{"info":"⫏≰220012212121002∲⫓NaN=NaN","layer":2},{"info":"⫏≰2001020⋷⫏≰2102110=⫏≰2210200","layer":3},{"info":"≦∁⫏≰2210200=⫏≰2210200","layer":2},{"info":"NaN⨵⪆⫏≰2210200=⫏≰12221","layer":1},{"info":"⫏≰112110110↙⫏≰12221=⫏≰-122210","layer":0}]}
{"id":915,"expression_no_base_symbol":"((-(↩$1668$))⇋≉)⩷∴($1131$+⇶⊼$1659$⋳⪒($1161$⊭↱$1379$)-($1717$⨽$1424$⨵⪆$7713$⨓$1614$))","expression":"((-(↩⫏≰2021210))⇋≉)⩷∴(⫏≰1112220+⇶⊼⫏≰2021110⋳⪒(⫏≰1121000⊭↱⫏≰1220002)-(⫏≰2100121⨽⫏≰1221202⨵⪆⫏≰101120200⨓⫏≰2012210))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3388,"operation_count":11,"complexity_ratio":308.0,"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":1668,"base":3}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1131,"base":3},"right_expr":{"type":"numeric_atoms","value":1659,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1161,"base":3},"right_expr":{"type":"numeric_atoms","value":1379,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1717,"base":3},"right_expr":{"type":"numeric_atoms","value":1424,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7713,"base":3},"right_expr":{"type":"numeric_atoms","value":1614,"base":3}}}}},"used_operators":["9FxExcQeMw","XIabStNQrY","t8gj7n24qd","jLgFTUHLKL","rysDP5nf3Z","12rbrZMWeM","TpPTUOHfaN","COABgblf1C","2DQ55sFlQl","8HhzD0ZcuI","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1668","layer":4},{"info":"compute unary expreesion, input=1668, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10564","layer":3},{"info":"compute unary expreesion, input=-10564, op_id = t8gj7n24qd, unary_op_definition = 'None', output=10564","layer":2},{"info":"compute unary expreesion, input=10564, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=21030","layer":1},{"info":"number node, value=1131","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=1659, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1161","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=1379, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=441","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=441, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1717","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=1717, right_input=1424, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8847225","layer":3},{"info":"number node, value=7713","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=7713, right_input=1614, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1617","layer":3},{"info":"compute binary expreesion, left_input=-8847225, right_input=-1617, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=21030, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((-(↩⫏≰2021210))⇋≉)⩷∴(⫏≰1112220+⇶⊼⫏≰2021110⋳⪒(⫏≰1121000⊭↱⫏≰1220002)-(⫏≰2100121⨽⫏≰1221202⨵⪆⫏≰101120200⨓⫏≰2012210))=NaN","reverse_text":"NaN=((-(↩⫏≰2021210))⇋≉)⩷∴(⫏≰1112220+⇶⊼⫏≰2021110⋳⪒(⫏≰1121000⊭↱⫏≰1220002)-(⫏≰2100121⨽⫏≰1221202⨵⪆⫏≰101120200⨓⫏≰2012210))","cot":[{"info":"↩⫏≰2021210=⫏≰-112111021","layer":3},{"info":"-⫏≰-112111021=⫏≰112111021","layer":2},{"info":"⫏≰112111021⇋≉=⫏≰1001211220","layer":1},{"info":"⫏≰1112220+⇶⊼⫏≰2021110=NaN","layer":3},{"info":"⫏≰1121000⊭↱⫏≰1220002=⫏≰121100","layer":3},{"info":"NaN⋳⪒⫏≰121100=NaN","layer":2},{"info":"⫏≰2100121⨽⫏≰1221202=⫏≰-121122111010000","layer":3},{"info":"⫏≰101120200⨓⫏≰2012210=⫏≰-2012220","layer":3},{"info":"⫏≰-121122111010000⨵⪆⫏≰-2012220=⫏≰12221","layer":2},{"info":"NaN-⫏≰12221=NaN","layer":1},{"info":"⫏≰1001211220⩷∴NaN=NaN","layer":0}]}
{"id":916,"expression_no_base_symbol":"((⋗⩬⋾($1342$⪄$4836$))⨳⩥⨓(↽≂$3345$)⪮%⊝($1704$⨳⩥⨓$2351$))⨐⩸⫘$2564$⊴$4315$⪘⫢($1942$⊘)⋥≓≎((⨵≀≌$1633$)⊦⊿)","expression":"((⋗⩬⋾(⫏≰1211201⪄⫏≰20122010))⨳⩥⨓(↽≂⫏≰11120220)⪮%⊝(⫏≰2100010⨳⩥⨓⫏≰10020002))⨐⩸⫘⫏≰10111222⊴⫏≰12220211⪘⫢(⫏≰2122221⊘)⋥≓≎((⨵≀≌⫏≰2020111)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9367,"operation_count":13,"complexity_ratio":720.5384615384615,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1342,"base":3},"right_expr":{"type":"numeric_atoms","value":4836,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3345,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1704,"base":3},"right_expr":{"type":"numeric_atoms","value":2351,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2564,"base":3},"right_expr":{"type":"numeric_atoms","value":4315,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1942,"base":3}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1633,"base":3}}}}},"used_operators":["fu6greOZ01","nCS4ZIUYfx","DpFCA1CohY","SUmda5xLS4","IWmyXbctLI","u6S6b8DprG","Qy55tPpLXF","oacrs7FA3X","Nsiff2A1zJ","gu96TGCTMs","14qkJME0vr","srAu1WTS94"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫏≰-2121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":4},{"info":"number node, value=4836","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=4836, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-214049","layer":3},{"info":"compute unary expreesion, input=-214049, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=642147","layer":2},{"info":"number node, value=3345","layer":4},{"info":"compute unary expreesion, input=3345, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6690","layer":3},{"info":"number node, value=1704","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=2351, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=647","layer":3},{"info":"compute binary expreesion, left_input=-6690, right_input=647, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-13064","layer":2},{"info":"compute binary expreesion, left_input=642147, right_input=-13064, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-655211","layer":1},{"info":"number node, value=2564","layer":4},{"info":"number node, value=4315","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=4315, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1942","layer":4},{"info":"compute unary expreesion, input=1942, 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 = 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=1633","layer":4},{"info":"compute unary expreesion, input=1633, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4899","layer":3},{"info":"compute unary expreesion, input=-4899, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=14618","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14618, 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=-655211, right_input=67, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-70","layer":0}],"base":3,"result_base":3,"text":"((⋗⩬⋾(⫏≰1211201⪄⫏≰20122010))⨳⩥⨓(↽≂⫏≰11120220)⪮%⊝(⫏≰2100010⨳⩥⨓⫏≰10020002))⨐⩸⫘⫏≰10111222⊴⫏≰12220211⪘⫢(⫏≰2122221⊘)⋥≓≎((⨵≀≌⫏≰2020111)⊦⊿)=⫏≰-2121","reverse_text":"⫏≰-2121=((⋗⩬⋾(⫏≰1211201⪄⫏≰20122010))⨳⩥⨓(↽≂⫏≰11120220)⪮%⊝(⫏≰2100010⨳⩥⨓⫏≰10020002))⨐⩸⫘⫏≰10111222⊴⫏≰12220211⪘⫢(⫏≰2122221⊘)⋥≓≎((⨵≀≌⫏≰2020111)⊦⊿)","cot":[{"info":"⫏≰1211201⪄⫏≰20122010=⫏≰-101212121202","layer":3},{"info":"⋗⩬⋾⫏≰-101212121202=⫏≰1012121212020","layer":2},{"info":"↽≂⫏≰11120220=⫏≰-100011210","layer":3},{"info":"⫏≰2100010⨳⩥⨓⫏≰10020002=⫏≰212222","layer":3},{"info":"⫏≰-100011210⪮%⊝⫏≰212222=⫏≰-122220212","layer":2},{"info":"⫏≰1012121212020⨳⩥⨓⫏≰-122220212=⫏≰-1020021210002","layer":1},{"info":"⫏≰10111222⊴⫏≰12220211=NaN","layer":3},{"info":"⫏≰2122221⊘=⫏≰0","layer":3},{"info":"NaN⪘⫢⫏≰0=NaN","layer":2},{"info":"⨵≀≌⫏≰2020111=⫏≰-20201110","layer":3},{"info":"⫏≰-20201110⊦⊿=⫏≰202001102","layer":2},{"info":"NaN⋥≓≎⫏≰202001102=⫏≰2111","layer":1},{"info":"⫏≰-1020021210002⨐⩸⫘⫏≰2111=⫏≰-2121","layer":0}]}
{"id":917,"expression_no_base_symbol":"(($2090$⩨$2345$)+⇶⊼($4603$⩨$1710$))∼($2241$⪛$2154$⨎$5183$⇷$6892$)⊉≛↸($8175$⪄$3950$)⨰$1013$∼$4678$≧⫂∧(∂$4623$)⪢($1258$∑⇟⊟$1410$)","expression":"((⫏≰2212102⩨⫏≰10012212)+⇶⊼(⫏≰20022111⩨⫏≰2100100))∼(⫏≰10002000⪛⫏≰2221210⨎⫏≰21002222⇷⫏≰100110021)⊉≛↸(⫏≰102012210⪄⫏≰12102022)⨰⫏≰1101112∼⫏≰20102021≧⫂∧(∂⫏≰20100020)⪢(⫏≰1201121∑⇟⊟⫏≰1221020)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":72713,"operation_count":15,"complexity_ratio":4847.533333333334,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2090,"base":3},"right_expr":{"type":"numeric_atoms","value":2345,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4603,"base":3},"right_expr":{"type":"numeric_atoms","value":1710,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2241,"base":3},"right_expr":{"type":"numeric_atoms","value":2154,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5183,"base":3},"right_expr":{"type":"numeric_atoms","value":6892,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":8175,"base":3},"right_expr":{"type":"numeric_atoms","value":3950,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1013,"base":3},"right_expr":{"type":"numeric_atoms","value":4678,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4623,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1258,"base":3},"right_expr":{"type":"numeric_atoms","value":1410,"base":3}}}}},"used_operators":["DZ8iAZOCBD","DyGG3AbaNP","TpPTUOHfaN","2DlMacCsIx","rJVOvQCfKK","uFcxV4UQCh","mp7IySMOzn","Ph9nP6C5qx","eewbuw0ToL","SUmda5xLS4","dWAJyo7jo9","Uaa54Peajs","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2090","layer":4},{"info":"number node, value=2345","layer":4},{"info":"compute binary expreesion, left_input=2090, right_input=2345, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=4603","layer":4},{"info":"number node, value=1710","layer":4},{"info":"compute binary expreesion, left_input=4603, right_input=1710, 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=-3, 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=2241","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=2241, right_input=2154, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=87","layer":3},{"info":"number node, value=5183","layer":4},{"info":"number node, value=6892","layer":4},{"info":"compute binary expreesion, left_input=5183, right_input=6892, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13784","layer":3},{"info":"compute binary expreesion, left_input=87, right_input=13784, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=13784","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=13784, 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=8175","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=8175, right_input=3950, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1221789","layer":3},{"info":"number node, value=1013","layer":4},{"info":"number node, value=4678","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=4678, 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=-1221789, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=4623","layer":4},{"info":"compute unary expreesion, input=4623, 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=1258","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=1410, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2212102⩨⫏≰10012212)+⇶⊼(⫏≰20022111⩨⫏≰2100100))∼(⫏≰10002000⪛⫏≰2221210⨎⫏≰21002222⇷⫏≰100110021)⊉≛↸(⫏≰102012210⪄⫏≰12102022)⨰⫏≰1101112∼⫏≰20102021≧⫂∧(∂⫏≰20100020)⪢(⫏≰1201121∑⇟⊟⫏≰1221020)=NaN","reverse_text":"NaN=((⫏≰2212102⩨⫏≰10012212)+⇶⊼(⫏≰20022111⩨⫏≰2100100))∼(⫏≰10002000⪛⫏≰2221210⨎⫏≰21002222⇷⫏≰100110021)⊉≛↸(⫏≰102012210⪄⫏≰12102022)⨰⫏≰1101112∼⫏≰20102021≧⫂∧(∂⫏≰20100020)⪢(⫏≰1201121∑⇟⊟⫏≰1221020)","cot":[{"info":"⫏≰2212102⩨⫏≰10012212=⫏≰-10","layer":3},{"info":"⫏≰20022111⩨⫏≰2100100=⫏≰0","layer":3},{"info":"⫏≰-10+⇶⊼⫏≰0=⫏≰0","layer":2},{"info":"⫏≰10002000⪛⫏≰2221210=⫏≰10020","layer":3},{"info":"⫏≰21002222⇷⫏≰100110021=⫏≰200220112","layer":3},{"info":"⫏≰10020⨎⫏≰200220112=⫏≰200220112","layer":2},{"info":"⫏≰0∼⫏≰200220112=NaN","layer":1},{"info":"⫏≰102012210⪄⫏≰12102022=⫏≰-2022001222110","layer":3},{"info":"⫏≰1101112∼⫏≰20102021=NaN","layer":3},{"info":"⫏≰-2022001222110⨰NaN=NaN","layer":2},{"info":"∂⫏≰20100020=NaN","layer":3},{"info":"⫏≰1201121∑⇟⊟⫏≰1221020=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":918,"expression_no_base_symbol":"((↣≠⋷($1169$⪛$1484$))-(↩($3196$⊭↱$5224$)))⫌⩹⨱","expression":"((↣≠⋷(⫏≰1121022⪛⫏≰2000222))-(↩(⫏≰11101101⊭↱⫏≰21011111)))⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":37,"operation_count":6,"complexity_ratio":6.166666666666667,"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":1169,"base":3},"right_expr":{"type":"numeric_atoms","value":1484,"base":3}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3196,"base":3},"right_expr":{"type":"numeric_atoms","value":5224,"base":3}}}}},"used_operators":["EBcxylXtPf","rysDP5nf3Z","Asc51vEJeQ","uFcxV4UQCh","jLgFTUHLKL","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1169","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=1484, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1169","layer":3},{"info":"compute unary expreesion, input=1169, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=3196","layer":4},{"info":"number node, value=5224","layer":4},{"info":"compute binary expreesion, left_input=3196, right_input=5224, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4061","layer":3},{"info":"compute unary expreesion, input=4061, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-29708","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-29708, op_id = rysDP5nf3Z binary_op_definition= 'None', 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":3,"result_base":3,"text":"((↣≠⋷(⫏≰1121022⪛⫏≰2000222))-(↩(⫏≰11101101⊭↱⫏≰21011111)))⫌⩹⨱=NaN","reverse_text":"NaN=((↣≠⋷(⫏≰1121022⪛⫏≰2000222))-(↩(⫏≰11101101⊭↱⫏≰21011111)))⫌⩹⨱","cot":[{"info":"⫏≰1121022⪛⫏≰2000222=⫏≰1121022","layer":3},{"info":"↣≠⋷⫏≰1121022=NaN","layer":2},{"info":"⫏≰11101101⊭↱⫏≰21011111=⫏≰12120102","layer":3},{"info":"↩⫏≰12120102=⫏≰-1111202022","layer":2},{"info":"NaN-⫏≰-1111202022=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":919,"expression_no_base_symbol":"(⨵≀≌(∥⊫(↣≠⋷$3440$)))⊴(((⨑⩽⪐$4186$)⪒$2763$≎⊠⪸$2353$)⪄$4259$⨪↰⇹$4668$∑⇟⊟($1289$⪄$2580$))","expression":"(⨵≀≌(∥⊫(↣≠⋷⫏≰11201102)))⊴(((⨑⩽⪐⫏≰12202001)⪒⫏≰10210100≎⊠⪸⫏≰10020011)⪄⫏≰12211202⨪↰⇹⫏≰20101220∑⇟⊟(⫏≰1202202⪄⫏≰10112120))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8718,"operation_count":11,"complexity_ratio":792.5454545454545,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3440,"base":3}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4186,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2763,"base":3},"right_expr":{"type":"numeric_atoms","value":2353,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4259,"base":3},"right_expr":{"type":"numeric_atoms","value":4668,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1289,"base":3},"right_expr":{"type":"numeric_atoms","value":2580,"base":3}}}}},"used_operators":["Nsiff2A1zJ","srAu1WTS94","P8v4zCKN1o","Asc51vEJeQ","SUmda5xLS4","f6k1SAg4EE","AF7qkfDlqP","bJkvcejdHO","U7g4x0WXJJ","tmPS8pqC7x"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3440","layer":4},{"info":"compute unary expreesion, input=3440, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍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 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=4186","layer":4},{"info":"compute unary expreesion, input=4186, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3913","layer":3},{"info":"number node, value=2763","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=2763, right_input=2353, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=715144","layer":3},{"info":"compute binary expreesion, left_input=-3913, right_input=715144, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-711231","layer":2},{"info":"number node, value=4259","layer":4},{"info":"number node, value=4668","layer":4},{"info":"compute binary expreesion, left_input=4259, right_input=4668, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4259","layer":3},{"info":"number node, value=1289","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=2580, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-197181","layer":3},{"info":"compute binary expreesion, left_input=4259, right_input=-197181, 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=-711231, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨵≀≌(∥⊫(↣≠⋷⫏≰11201102)))⊴(((⨑⩽⪐⫏≰12202001)⪒⫏≰10210100≎⊠⪸⫏≰10020011)⪄⫏≰12211202⨪↰⇹⫏≰20101220∑⇟⊟(⫏≰1202202⪄⫏≰10112120))=NaN","reverse_text":"NaN=(⨵≀≌(∥⊫(↣≠⋷⫏≰11201102)))⊴(((⨑⩽⪐⫏≰12202001)⪒⫏≰10210100≎⊠⪸⫏≰10020011)⪄⫏≰12211202⨪↰⇹⫏≰20101220∑⇟⊟(⫏≰1202202⪄⫏≰10112120))","cot":[{"info":"↣≠⋷⫏≰11201102=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⨑⩽⪐⫏≰12202001=⫏≰-12100221","layer":3},{"info":"⫏≰10210100≎⊠⪸⫏≰10020011=⫏≰1100022222211","layer":3},{"info":"⫏≰-12100221⪒⫏≰1100022222211=⫏≰-1100010121220","layer":2},{"info":"⫏≰12211202⨪↰⇹⫏≰20101220=⫏≰12211202","layer":3},{"info":"⫏≰1202202⪄⫏≰10112120=⫏≰-101000111000","layer":3},{"info":"⫏≰12211202∑⇟⊟⫏≰-101000111000=NaN","layer":2},{"info":"⫏≰-1100010121220⪄NaN=⫏≰12110101","layer":1},{"info":"NaN⊴⫏≰12110101=NaN","layer":0}]}
{"id":920,"expression_no_base_symbol":"($5180$⪒$3636$)∼($2261$⋳⪒$1610$)⋝⋈⪟(↽≂$1626$)⨟⋌⩍$4869$⪢$3402$*($1385$⫡⨏$1348$)⩷∴($3904$⩷∴$7241$)⩷∴($1178$⇼⇔∾$1356$⋷($2533$⩤))","expression":"(⫏≰21002212⪒⫏≰11222200)∼(⫏≰10002202⋳⪒⫏≰2012122)⋝⋈⪟(↽≂⫏≰2020020)⨟⋌⩍⫏≰20200100⪢⫏≰11200000*(⫏≰1220022⫡⨏⫏≰1211221)⩷∴(⫏≰12100121⩷∴⫏≰100221012)⩷∴(⫏≰1121122⇼⇔∾⫏≰1212020⋷(⫏≰10110211⩤))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4444,"operation_count":15,"complexity_ratio":296.26666666666665,"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":5180,"base":3},"right_expr":{"type":"numeric_atoms","value":3636,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2261,"base":3},"right_expr":{"type":"numeric_atoms","value":1610,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1626,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4869,"base":3},"right_expr":{"type":"numeric_atoms","value":3402,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1385,"base":3},"right_expr":{"type":"numeric_atoms","value":1348,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3904,"base":3},"right_expr":{"type":"numeric_atoms","value":7241,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1178,"base":3},"right_expr":{"type":"numeric_atoms","value":1356,"base":3}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2533,"base":3}}}}},"used_operators":["9HNa5Wba9A","2DDjHMKMc0","DyGG3AbaNP","f6k1SAg4EE","12rbrZMWeM","rGHVDoGpnC","u6S6b8DprG","dWAJyo7jo9","9FxExcQeMw","QMFrweE19q","23Mk6UjR3U","tifHPKVTfV","Z2TMIBDE3Q"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5180","layer":4},{"info":"number node, value=3636","layer":4},{"info":"compute binary expreesion, left_input=5180, right_input=3636, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8816","layer":3},{"info":"number node, value=2261","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=2261, right_input=1610, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2625","layer":3},{"info":"compute binary expreesion, left_input=-8816, right_input=2625, 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=1626","layer":4},{"info":"compute unary expreesion, input=1626, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3252","layer":3},{"info":"number node, value=4869","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=4869, right_input=3402, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-3252, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1385","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1348, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10404","layer":3},{"info":"number node, value=3904","layer":4},{"info":"number node, value=7241","layer":4},{"info":"compute binary expreesion, left_input=3904, right_input=7241, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6706","layer":3},{"info":"compute binary expreesion, left_input=10404, right_input=-6706, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=34188","layer":2},{"info":"number node, value=1178","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=1356, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=178","layer":3},{"info":"number node, value=2533","layer":4},{"info":"compute unary expreesion, input=2533, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2533","layer":3},{"info":"compute binary expreesion, left_input=178, right_input=-2533, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-356","layer":2},{"info":"compute binary expreesion, left_input=34188, right_input=-356, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=69056","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=69056, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21002212⪒⫏≰11222200)∼(⫏≰10002202⋳⪒⫏≰2012122)⋝⋈⪟(↽≂⫏≰2020020)⨟⋌⩍⫏≰20200100⪢⫏≰11200000*(⫏≰1220022⫡⨏⫏≰1211221)⩷∴(⫏≰12100121⩷∴⫏≰100221012)⩷∴(⫏≰1121122⇼⇔∾⫏≰1212020⋷(⫏≰10110211⩤))=NaN","reverse_text":"NaN=(⫏≰21002212⪒⫏≰11222200)∼(⫏≰10002202⋳⪒⫏≰2012122)⋝⋈⪟(↽≂⫏≰2020020)⨟⋌⩍⫏≰20200100⪢⫏≰11200000*(⫏≰1220022⫡⨏⫏≰1211221)⩷∴(⫏≰12100121⩷∴⫏≰100221012)⩷∴(⫏≰1121122⇼⇔∾⫏≰1212020⋷(⫏≰10110211⩤))","cot":[{"info":"⫏≰21002212⪒⫏≰11222200=⫏≰-110002112","layer":3},{"info":"⫏≰10002202⋳⪒⫏≰2012122=⫏≰10121020","layer":3},{"info":"⫏≰-110002112∼⫏≰10121020=NaN","layer":2},{"info":"↽≂⫏≰2020020=⫏≰-11110110","layer":3},{"info":"⫏≰20200100⪢⫏≰11200000=NaN","layer":3},{"info":"⫏≰-11110110⨟⋌⩍NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⫏≰1220022⫡⨏⫏≰1211221=⫏≰112021100","layer":3},{"info":"⫏≰12100121⩷∴⫏≰100221012=⫏≰-100012101","layer":3},{"info":"⫏≰112021100⩷∴⫏≰-100012101=⫏≰1201220020","layer":2},{"info":"⫏≰1121122⇼⇔∾⫏≰1212020=⫏≰20121","layer":3},{"info":"⫏≰10110211⩤=⫏≰-10110211","layer":3},{"info":"⫏≰20121⋷⫏≰-10110211=⫏≰-111012","layer":2},{"info":"⫏≰1201220020⩷∴⫏≰-111012=⫏≰10111201122","layer":1},{"info":"NaN*⫏≰10111201122=NaN","layer":0}]}
{"id":921,"expression_no_base_symbol":"($3947$⩨$1240$⪒$6396$⊭↱$1060$)⋳⪒($2580$⨳⩥⨓$2356$⫡⨏(≤/$1457$))⋷((≦∁$3744$)≫≃)≭($4011$≧⫂∧$1253$⪨≂$7342$⇷$1137$)","expression":"(⫏≰12102012⩨⫏≰1200221⪒⫏≰22202220⊭↱⫏≰1110021)⋳⪒(⫏≰10112120⨳⩥⨓⫏≰10020021⫡⨏(≤/⫏≰1222222))⋷((≦∁⫏≰12010200)≫≃)≭(⫏≰12111120≧⫂∧⫏≰1201102⪨≂⫏≰101001221⇷⫏≰1120010)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":102843,"operation_count":14,"complexity_ratio":7345.928571428572,"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":3947,"base":3},"right_expr":{"type":"numeric_atoms","value":1240,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6396,"base":3},"right_expr":{"type":"numeric_atoms","value":1060,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2580,"base":3},"right_expr":{"type":"numeric_atoms","value":2356,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1457,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3744,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4011,"base":3},"right_expr":{"type":"numeric_atoms","value":1253,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7342,"base":3},"right_expr":{"type":"numeric_atoms","value":1137,"base":3}}}}},"used_operators":["23Mk6UjR3U","12rbrZMWeM","f6k1SAg4EE","2DlMacCsIx","COABgblf1C","QMFrweE19q","nCS4ZIUYfx","eLAdDNolq6","rxpJgHHUmx","X99M06cbEe","9ICcGScMcE","sdazOOVcIp","Ph9nP6C5qx","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3947","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=3947, right_input=1240, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=6396","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=6396, right_input=1060, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-10667","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10667, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=10667","layer":2},{"info":"number node, value=2580","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=2580, right_input=2356, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-224","layer":3},{"info":"number node, value=1457","layer":4},{"info":"compute unary expreesion, input=1457, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-973","layer":3},{"info":"compute binary expreesion, left_input=-224, right_input=-973, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-2283","layer":2},{"info":"compute binary expreesion, left_input=10667, right_input=-2283, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=23330","layer":1},{"info":"number node, value=3744","layer":4},{"info":"compute unary expreesion, input=3744, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3744","layer":3},{"info":"compute unary expreesion, input=3744, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8889","layer":2},{"info":"number node, value=4011","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=4011, right_input=1253, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=780","layer":3},{"info":"number node, value=7342","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=7342, right_input=1137, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2274","layer":3},{"info":"compute binary expreesion, left_input=780, right_input=2274, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2886","layer":2},{"info":"compute binary expreesion, left_input=8889, right_input=-2886, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=23330, 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":3,"result_base":3,"text":"(⫏≰12102012⩨⫏≰1200221⪒⫏≰22202220⊭↱⫏≰1110021)⋳⪒(⫏≰10112120⨳⩥⨓⫏≰10020021⫡⨏(≤/⫏≰1222222))⋷((≦∁⫏≰12010200)≫≃)≭(⫏≰12111120≧⫂∧⫏≰1201102⪨≂⫏≰101001221⇷⫏≰1120010)=NaN","reverse_text":"NaN=(⫏≰12102012⩨⫏≰1200221⪒⫏≰22202220⊭↱⫏≰1110021)⋳⪒(⫏≰10112120⨳⩥⨓⫏≰10020021⫡⨏(≤/⫏≰1222222))⋷((≦∁⫏≰12010200)≫≃)≭(⫏≰12111120≧⫂∧⫏≰1201102⪨≂⫏≰101001221⇷⫏≰1120010)","cot":[{"info":"⫏≰12102012⩨⫏≰1200221=⫏≰0","layer":3},{"info":"⫏≰22202220⊭↱⫏≰1110021=⫏≰-112122002","layer":3},{"info":"⫏≰0⪒⫏≰-112122002=⫏≰112122002","layer":2},{"info":"⫏≰10112120⨳⩥⨓⫏≰10020021=⫏≰-22022","layer":3},{"info":"≤/⫏≰1222222=⫏≰-1100001","layer":3},{"info":"⫏≰-22022⫡⨏⫏≰-1100001=⫏≰-10010120","layer":2},{"info":"⫏≰112122002⋳⪒⫏≰-10010120=⫏≰1012000002","layer":1},{"info":"≦∁⫏≰12010200=⫏≰12010200","layer":3},{"info":"⫏≰12010200≫≃=⫏≰110012020","layer":2},{"info":"⫏≰12111120≧⫂∧⫏≰1201102=⫏≰1001220","layer":3},{"info":"⫏≰101001221⇷⫏≰1120010=⫏≰10010020","layer":3},{"info":"⫏≰1001220⪨≂⫏≰10010020=⫏≰-10221220","layer":2},{"info":"⫏≰110012020≭⫏≰-10221220=NaN","layer":1},{"info":"⫏≰1012000002⋷NaN=NaN","layer":0}]}
{"id":922,"expression_no_base_symbol":"((⪝⪂⫅$1007$⊴$6684$)+⇶⊼(⨰⫟⨤($1152$⇼⇔∾$4237$)))≧⫂∧((↥($1216$∧))≧⫂∧(+⊝⨔($2557$⩠)))","expression":"((⪝⪂⫅⫏≰1101022⊴⫏≰100011120)+⇶⊼(⨰⫟⨤(⫏≰1120200⇼⇔∾⫏≰12210221)))≧⫂∧((↥(⫏≰1200001∧))≧⫂∧(+⊝⨔(⫏≰10111201⩠)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18244,"operation_count":11,"complexity_ratio":1658.5454545454545,"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":1007,"base":3},"right_expr":{"type":"numeric_atoms","value":6684,"base":3}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1152,"base":3},"right_expr":{"type":"numeric_atoms","value":4237,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1216,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2557,"base":3}}}}},"used_operators":["Ph9nP6C5qx","TpPTUOHfaN","XTarYq4gQB","Nsiff2A1zJ","Tw270M8GLb","tifHPKVTfV","A8NUZmVepG","z63VuFQld9","DhbWaqg5eL","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫏≰210100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"number node, value=6684","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=6684, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=1152","layer":4},{"info":"number node, value=4237","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=4237, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3085","layer":3},{"info":"compute unary expreesion, input=3085, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1216","layer":4},{"info":"compute unary expreesion, input=1216, 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=2557","layer":4},{"info":"compute unary expreesion, input=2557, 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 = 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1049","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1049, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=576","layer":0}],"base":3,"result_base":3,"text":"((⪝⪂⫅⫏≰1101022⊴⫏≰100011120)+⇶⊼(⨰⫟⨤(⫏≰1120200⇼⇔∾⫏≰12210221)))≧⫂∧((↥(⫏≰1200001∧))≧⫂∧(+⊝⨔(⫏≰10111201⩠)))=⫏≰210100","reverse_text":"⫏≰210100=((⪝⪂⫅⫏≰1101022⊴⫏≰100011120)+⇶⊼(⨰⫟⨤(⫏≰1120200⇼⇔∾⫏≰12210221)))≧⫂∧((↥(⫏≰1200001∧))≧⫂∧(+⊝⨔(⫏≰10111201⩠)))","cot":[{"info":"⫏≰1101022⊴⫏≰100011120=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⫏≰1120200⇼⇔∾⫏≰12210221=⫏≰11020021","layer":3},{"info":"⨰⫟⨤⫏≰11020021=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⫏≰1200001∧=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⫏≰10111201⩠=⫏≰0","layer":3},{"info":"+⊝⨔⫏≰0=⫏≰2002101","layer":2},{"info":"NaN≧⫂∧⫏≰2002101=⫏≰1102212","layer":1},{"info":"NaN≧⫂∧⫏≰1102212=⫏≰210100","layer":0}]}
{"id":923,"expression_no_base_symbol":"(($2651$⫥∨⫟$2665$)⨰($2927$*$1778$))⇷($2361$∀⇚≩$1389$↙($5786$≣⋋))+(⊥($2023$⋥≓≎$7950$⊉≛↸$1338$⫥∨⫟$5860$))","expression":"((⫏≰10122012⫥∨⫟⫏≰10122201)⨰(⫏≰11000102*⫏≰2102212))⇷(⫏≰10020110∀⇚≩⫏≰1220110↙(⫏≰21221022≣⋋))+(⊥(⫏≰2202221⋥≓≎⫏≰101220110⊉≛↸⫏≰1211120⫥∨⫟⫏≰22001001))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19149,"operation_count":12,"complexity_ratio":1595.75,"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":2651,"base":3},"right_expr":{"type":"numeric_atoms","value":2665,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2927,"base":3},"right_expr":{"type":"numeric_atoms","value":1778,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2361,"base":3},"right_expr":{"type":"numeric_atoms","value":1389,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5786,"base":3}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2023,"base":3},"right_expr":{"type":"numeric_atoms","value":7950,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1338,"base":3},"right_expr":{"type":"numeric_atoms","value":5860,"base":3}}}}},"used_operators":["W4YGzv6Whe","mp7IySMOzn","eewbuw0ToL","KYD54nUTWz","9HNa5Wba9A","yyfyN0ffXY","LRNGc0VcxI","Tcnh7f0tEr","Q3PJZHRvZv","DZ8iAZOCBD","Qy55tPpLXF"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2651","layer":4},{"info":"number node, value=2665","layer":4},{"info":"compute binary expreesion, left_input=2651, right_input=2665, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2927","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=2927, right_input=1778, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5204206","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5204206, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2361","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=2361, right_input=1389, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5786","layer":4},{"info":"compute unary expreesion, input=5786, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=2023","layer":4},{"info":"number node, value=7950","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=7950, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=13910","layer":3},{"info":"number node, value=1338","layer":4},{"info":"number node, value=5860","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=5860, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13910, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=27820","layer":2},{"info":"compute unary expreesion, input=27820, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10122012⫥∨⫟⫏≰10122201)⨰(⫏≰11000102*⫏≰2102212))⇷(⫏≰10020110∀⇚≩⫏≰1220110↙(⫏≰21221022≣⋋))+(⊥(⫏≰2202221⋥≓≎⫏≰101220110⊉≛↸⫏≰1211120⫥∨⫟⫏≰22001001))=NaN","reverse_text":"NaN=((⫏≰10122012⫥∨⫟⫏≰10122201)⨰(⫏≰11000102*⫏≰2102212))⇷(⫏≰10020110∀⇚≩⫏≰1220110↙(⫏≰21221022≣⋋))+(⊥(⫏≰2202221⋥≓≎⫏≰101220110⊉≛↸⫏≰1211120⫥∨⫟⫏≰22001001))","cot":[{"info":"⫏≰10122012⫥∨⫟⫏≰10122201=NaN","layer":3},{"info":"⫏≰11000102*⫏≰2102212=⫏≰100210101211101","layer":3},{"info":"NaN⨰⫏≰100210101211101=NaN","layer":2},{"info":"⫏≰10020110∀⇚≩⫏≰1220110=NaN","layer":3},{"info":"⫏≰21221022≣⋋=⫏≰0","layer":3},{"info":"NaN↙⫏≰0=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"⫏≰2202221⋥≓≎⫏≰101220110=⫏≰201002012","layer":3},{"info":"⫏≰1211120⫥∨⫟⫏≰22001001=NaN","layer":3},{"info":"⫏≰201002012⊉≛↸NaN=⫏≰1102011101","layer":2},{"info":"⊥⫏≰1102011101=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"⇁⨣⪵(($2599$⇼⇔∾$6320$)⋝⋈⪟($5296$⊠≄⫣))⪛((≤/$4561$)⫸⊐($1227$∲⫓$2597$))","expression":"⇁⨣⪵((⫏≰10120021⇼⇔∾⫏≰22200002)⋝⋈⪟(⫏≰21021011⊠≄⫣))⪛((≤/⫏≰20020221)⫸⊐(⫏≰1200110∲⫓⫏≰10120012))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22,"operation_count":8,"complexity_ratio":2.75,"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":2599,"base":3},"right_expr":{"type":"numeric_atoms","value":6320,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5296,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4561,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1227,"base":3},"right_expr":{"type":"numeric_atoms","value":2597,"base":3}}}}},"used_operators":["inkyxCbjAn","uFcxV4UQCh","2DDjHMKMc0","tifHPKVTfV","DIvbN7qnHd","mqXw5SEYmG","eLAdDNolq6","i8ToyICDmI"],"dependent_operators":["B5M0gjZbta","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2599","layer":4},{"info":"number node, value=6320","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=6320, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3721","layer":3},{"info":"number node, value=5296","layer":4},{"info":"compute unary expreesion, input=5296, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3721, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3721","layer":2},{"info":"number node, value=4561","layer":4},{"info":"compute unary expreesion, input=4561, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4077","layer":3},{"info":"number node, value=1227","layer":4},{"info":"number node, value=2597","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=2597, 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=-4077, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=3721, right_input=968, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=817","layer":1},{"info":"compute unary expreesion, input=817, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⇁⨣⪵((⫏≰10120021⇼⇔∾⫏≰22200002)⋝⋈⪟(⫏≰21021011⊠≄⫣))⪛((≤/⫏≰20020221)⫸⊐(⫏≰1200110∲⫓⫏≰10120012))=NaN","reverse_text":"NaN=⇁⨣⪵((⫏≰10120021⇼⇔∾⫏≰22200002)⋝⋈⪟(⫏≰21021011⊠≄⫣))⪛((≤/⫏≰20020221)⫸⊐(⫏≰1200110∲⫓⫏≰10120012))","cot":[{"info":"⫏≰10120021⇼⇔∾⫏≰22200002=⫏≰12002211","layer":3},{"info":"⫏≰21021011⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰12002211⋝⋈⪟⫏≰0=⫏≰12002211","layer":2},{"info":"≤/⫏≰20020221=⫏≰-12121000","layer":3},{"info":"⫏≰1200110∲⫓⫏≰10120012=⫏≰0","layer":3},{"info":"⫏≰-12121000⫸⊐⫏≰0=⫏≰1022212","layer":2},{"info":"⫏≰12002211⪛⫏≰1022212=⫏≰1010021","layer":1},{"info":"⇁⨣⪵⫏≰1010021=NaN","layer":0}]}
{"id":925,"expression_no_base_symbol":"(⨰⫟⨤($1021$⇼⇔∾$4023$∲⫓$1098$⪛$1660$))⊭∹↮","expression":"(⨰⫟⨤(⫏≰1101211⇼⇔∾⫏≰12112000∲⫓⫏≰1111200⪛⫏≰2021111))⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":908,"operation_count":5,"complexity_ratio":181.6,"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":1021,"base":3},"right_expr":{"type":"numeric_atoms","value":4023,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1098,"base":3},"right_expr":{"type":"numeric_atoms","value":1660,"base":3}}}}},"used_operators":["xNBdhnnwKq","Tw270M8GLb","i8ToyICDmI","tifHPKVTfV","uFcxV4UQCh"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫏≰121220111112210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1021","layer":4},{"info":"number node, value=4023","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=4023, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3002","layer":3},{"info":"number node, value=1098","layer":4},{"info":"number node, value=1660","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=1660, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1098","layer":3},{"info":"compute binary expreesion, left_input=3002, right_input=1098, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":1},{"info":"compute unary expreesion, input=4492662, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8985324","layer":0}],"base":3,"result_base":3,"text":"(⨰⫟⨤(⫏≰1101211⇼⇔∾⫏≰12112000∲⫓⫏≰1111200⪛⫏≰2021111))⊭∹↮=⫏≰121220111112210","reverse_text":"⫏≰121220111112210=(⨰⫟⨤(⫏≰1101211⇼⇔∾⫏≰12112000∲⫓⫏≰1111200⪛⫏≰2021111))⊭∹↮","cot":[{"info":"⫏≰1101211⇼⇔∾⫏≰12112000=⫏≰11010012","layer":3},{"info":"⫏≰1111200⪛⫏≰2021111=⫏≰1111200","layer":3},{"info":"⫏≰11010012∲⫓⫏≰1111200=⫏≰0","layer":2},{"info":"⨰⫟⨤⫏≰0=⫏≰22110020202220","layer":1},{"info":"⫏≰22110020202220⊭∹↮=⫏≰121220111112210","layer":0}]}
{"id":926,"expression_no_base_symbol":"(($6012$⪒$2845$⨵⪆(≉$1736$))⪠⩆⊳)∼((⇁⨣⪵($1860$-$3220$))⪘⫢(($3063$⨸⪁$1907$)⊪))","expression":"((⫏≰22020200⪒⫏≰10220101⨵⪆(≉⫏≰2101022))⪠⩆⊳)∼((⇁⨣⪵(⫏≰2112220-⫏≰11102021))⪘⫢((⫏≰11012110⨸⪁⫏≰2121122)⊪))","highest_n_order":5,"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":6012,"base":3},"right_expr":{"type":"numeric_atoms","value":2845,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1736,"base":3}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1860,"base":3},"right_expr":{"type":"numeric_atoms","value":3220,"base":3}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3063,"base":3},"right_expr":{"type":"numeric_atoms","value":1907,"base":3}}}}},"used_operators":["DyGG3AbaNP","JLbD19bQDL","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","oacrs7FA3X","inkyxCbjAn","rysDP5nf3Z","zVYPLywUTj","g55IO6H4Gj"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6012","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=6012, right_input=2845, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8857","layer":3},{"info":"number node, value=1736","layer":4},{"info":"compute unary expreesion, input=1736, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2267","layer":3},{"info":"compute binary expreesion, left_input=-8857, right_input=2267, 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 = 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=1860","layer":4},{"info":"number node, value=3220","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=3220, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1360","layer":3},{"info":"compute unary expreesion, input=-1360, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3063","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=3063, right_input=1907, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9940","layer":3},{"info":"compute unary expreesion, input=9940, 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 = 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=0, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22020200⪒⫏≰10220101⨵⪆(≉⫏≰2101022))⪠⩆⊳)∼((⇁⨣⪵(⫏≰2112220-⫏≰11102021))⪘⫢((⫏≰11012110⨸⪁⫏≰2121122)⊪))=NaN","reverse_text":"NaN=((⫏≰22020200⪒⫏≰10220101⨵⪆(≉⫏≰2101022))⪠⩆⊳)∼((⇁⨣⪵(⫏≰2112220-⫏≰11102021))⪘⫢((⫏≰11012110⨸⪁⫏≰2121122)⊪))","cot":[{"info":"⫏≰22020200⪒⫏≰10220101=⫏≰-110011001","layer":3},{"info":"≉⫏≰2101022=⫏≰10002222","layer":3},{"info":"⫏≰-110011001⨵⪆⫏≰10002222=⫏≰12221","layer":2},{"info":"⫏≰12221⪠⩆⊳=⫏≰0","layer":1},{"info":"⫏≰2112220-⫏≰11102021=⫏≰-1212101","layer":3},{"info":"⇁⨣⪵⫏≰-1212101=NaN","layer":2},{"info":"⫏≰11012110⨸⪁⫏≰2121122=⫏≰111122011","layer":3},{"info":"⫏≰111122011⊪=⫏≰0","layer":2},{"info":"NaN⪘⫢⫏≰0=NaN","layer":1},{"info":"⫏≰0∼NaN=NaN","layer":0}]}
{"id":927,"expression_no_base_symbol":"(∥⊫$1517$∼$1032$)⫸⊐(($1775$⨁⊸⫻)≦≮≮)⪒($1064$⫥∨⫟$6065$)⋝⋈⪟($5260$∲⫓$1062$)⫸⊐(($3664$↙$6584$)⩤)","expression":"(∥⊫⫏≰2002012∼⫏≰1102020)⫸⊐((⫏≰2102202⨁⊸⫻)≦≮≮)⪒(⫏≰1110102⫥∨⫟⫏≰22022122)⋝⋈⪟(⫏≰21012211∲⫓⫏≰1110100)⫸⊐((⫏≰12000201↙⫏≰100000212)⩤)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6796,"operation_count":12,"complexity_ratio":566.3333333333334,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1517,"base":3},"right_expr":{"type":"numeric_atoms","value":1032,"base":3}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1775,"base":3}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1064,"base":3},"right_expr":{"type":"numeric_atoms","value":6065,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5260,"base":3},"right_expr":{"type":"numeric_atoms","value":1062,"base":3}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3664,"base":3},"right_expr":{"type":"numeric_atoms","value":6584,"base":3}}}}},"used_operators":["f6k1SAg4EE","mqXw5SEYmG","P8v4zCKN1o","DyGG3AbaNP","D4vGDi5EA2","glklzrTFfD","2DDjHMKMc0","KYD54nUTWz","i8ToyICDmI","Z2TMIBDE3Q","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1517","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=1032, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"number node, value=1775","layer":4},{"info":"compute unary expreesion, input=1775, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1775","layer":3},{"info":"compute unary expreesion, input=1775, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5325","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5325, 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=1064","layer":4},{"info":"number node, value=6065","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=6065, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5260","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=5260, right_input=1062, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=3664","layer":4},{"info":"number node, value=6584","layer":4},{"info":"compute binary expreesion, left_input=3664, right_input=6584, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19752","layer":3},{"info":"compute unary expreesion, input=-19752, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=19752","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19752, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(∥⊫⫏≰2002012∼⫏≰1102020)⫸⊐((⫏≰2102202⨁⊸⫻)≦≮≮)⪒(⫏≰1110102⫥∨⫟⫏≰22022122)⋝⋈⪟(⫏≰21012211∲⫓⫏≰1110100)⫸⊐((⫏≰12000201↙⫏≰100000212)⩤)=NaN","reverse_text":"NaN=(∥⊫⫏≰2002012∼⫏≰1102020)⫸⊐((⫏≰2102202⨁⊸⫻)≦≮≮)⪒(⫏≰1110102⫥∨⫟⫏≰22022122)⋝⋈⪟(⫏≰21012211∲⫓⫏≰1110100)⫸⊐((⫏≰12000201↙⫏≰100000212)⩤)","cot":[{"info":"⫏≰2002012∼⫏≰1102020=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⫏≰2102202⨁⊸⫻=⫏≰2102202","layer":3},{"info":"⫏≰2102202≦≮≮=⫏≰-21022020","layer":2},{"info":"NaN⫸⊐⫏≰-21022020=NaN","layer":1},{"info":"⫏≰1110102⫥∨⫟⫏≰22022122=NaN","layer":3},{"info":"⫏≰21012211∲⫓⫏≰1110100=⫏≰0","layer":3},{"info":"NaN⋝⋈⪟⫏≰0=NaN","layer":2},{"info":"⫏≰12000201↙⫏≰100000212=⫏≰-1000002120","layer":3},{"info":"⫏≰-1000002120⩤=⫏≰1000002120","layer":2},{"info":"NaN⫸⊐⫏≰1000002120=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":928,"expression_no_base_symbol":"(⨑⩽⪐($4026$⫸⊐$2398$))⇷(($2255$⊭∹↮)↺($1455$⊉≛↸$3351$))⨎(⩦⩻⨪(⊥$2138$)↬($3789$⨎$2582$))","expression":"(⨑⩽⪐(⫏≰12112010⫸⊐⫏≰10021211))⇷((⫏≰10002112⊭∹↮)↺(⫏≰1222220⊉≛↸⫏≰11121010))⨎(⩦⩻⨪(⊥⫏≰2221012)↬(⫏≰12012100⨎⫏≰10112122))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":128767,"operation_count":11,"complexity_ratio":11706.09090909091,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4026,"base":3},"right_expr":{"type":"numeric_atoms","value":2398,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2255,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1455,"base":3},"right_expr":{"type":"numeric_atoms","value":3351,"base":3}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2138,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3789,"base":3},"right_expr":{"type":"numeric_atoms","value":2582,"base":3}}}}},"used_operators":["rJVOvQCfKK","mp7IySMOzn","AF7qkfDlqP","mqXw5SEYmG","7j4O788W3g","xNBdhnnwKq","DZ8iAZOCBD","2td37pGCOC","B5M0gjZbta","Q3PJZHRvZv"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4026","layer":4},{"info":"number node, value=2398","layer":4},{"info":"compute binary expreesion, left_input=4026, right_input=2398, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9467","layer":3},{"info":"compute unary expreesion, input=9467, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-9194","layer":2},{"info":"number node, value=2255","layer":4},{"info":"compute unary expreesion, input=2255, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4510","layer":3},{"info":"number node, value=1455","layer":4},{"info":"number node, value=3351","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=3351, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2910","layer":3},{"info":"compute binary expreesion, left_input=4510, right_input=2910, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2910","layer":2},{"info":"compute binary expreesion, left_input=-9194, right_input=2910, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5820","layer":1},{"info":"number node, value=2138","layer":4},{"info":"compute unary expreesion, input=2138, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3789","layer":4},{"info":"number node, value=2582","layer":4},{"info":"compute binary expreesion, left_input=3789, right_input=2582, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2582","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2582, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5820, 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":3,"result_base":3,"text":"(⨑⩽⪐(⫏≰12112010⫸⊐⫏≰10021211))⇷((⫏≰10002112⊭∹↮)↺(⫏≰1222220⊉≛↸⫏≰11121010))⨎(⩦⩻⨪(⊥⫏≰2221012)↬(⫏≰12012100⨎⫏≰10112122))=NaN","reverse_text":"NaN=(⨑⩽⪐(⫏≰12112010⫸⊐⫏≰10021211))⇷((⫏≰10002112⊭∹↮)↺(⫏≰1222220⊉≛↸⫏≰11121010))⨎(⩦⩻⨪(⊥⫏≰2221012)↬(⫏≰12012100⨎⫏≰10112122))","cot":[{"info":"⫏≰12112010⫸⊐⫏≰10021211=⫏≰110222122","layer":3},{"info":"⨑⩽⪐⫏≰110222122=⫏≰-110121112","layer":2},{"info":"⫏≰10002112⊭∹↮=⫏≰20012001","layer":3},{"info":"⫏≰1222220⊉≛↸⫏≰11121010=⫏≰10222210","layer":3},{"info":"⫏≰20012001↺⫏≰10222210=⫏≰10222210","layer":2},{"info":"⫏≰-110121112⇷⫏≰10222210=⫏≰21222120","layer":1},{"info":"⊥⫏≰2221012=NaN","layer":3},{"info":"⫏≰12012100⨎⫏≰10112122=⫏≰10112122","layer":3},{"info":"NaN↬⫏≰10112122=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⫏≰21222120⨎NaN=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"(($1038$⩷∴$2334$↙(↣≠⋷$1484$))⪠⩆⊳)⩨(⊙↵-(↽≂$4789$))⋥≓≎($3534$⪠⩆⊳)⩚⊴⇥$3409$⨓$2669$","expression":"((⫏≰1102110⩷∴⫏≰10012110↙(↣≠⋷⫏≰2000222))⪠⩆⊳)⩨(⊙↵-(↽≂⫏≰20120101))⋥≓≎(⫏≰11211220⪠⩆⊳)⩚⊴⇥⫏≰11200021⨓⫏≰10122212","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12321,"operation_count":11,"complexity_ratio":1120.090909090909,"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":1038,"base":3},"right_expr":{"type":"numeric_atoms","value":2334,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1484,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4789,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3534,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3409,"base":3},"right_expr":{"type":"numeric_atoms","value":2669,"base":3}}}}},"used_operators":["2DlMacCsIx","JLbD19bQDL","yyfyN0ffXY","9FxExcQeMw","Asc51vEJeQ","Qy55tPpLXF","oWn0xqSxBt","u6S6b8DprG","NTOWxs364D","3ViojmjbAp"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1038","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=2334, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2624","layer":3},{"info":"number node, value=1484","layer":4},{"info":"compute unary expreesion, input=1484, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2624, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2624","layer":2},{"info":"compute unary expreesion, input=-2624, 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=4789","layer":4},{"info":"compute unary expreesion, input=4789, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9578","layer":3},{"info":"compute unary expreesion, input=-9578, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=3534","layer":4},{"info":"compute unary expreesion, input=3534, 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=3409","layer":4},{"info":"number node, value=2669","layer":4},{"info":"compute binary expreesion, left_input=3409, right_input=2669, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2672","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2672, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=2551","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=2551, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4939","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4939, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1102110⩷∴⫏≰10012110↙(↣≠⋷⫏≰2000222))⪠⩆⊳)⩨(⊙↵-(↽≂⫏≰20120101))⋥≓≎(⫏≰11211220⪠⩆⊳)⩚⊴⇥⫏≰11200021⨓⫏≰10122212=NaN","reverse_text":"NaN=((⫏≰1102110⩷∴⫏≰10012110↙(↣≠⋷⫏≰2000222))⪠⩆⊳)⩨(⊙↵-(↽≂⫏≰20120101))⋥≓≎(⫏≰11211220⪠⩆⊳)⩚⊴⇥⫏≰11200021⨓⫏≰10122212","cot":[{"info":"⫏≰1102110⩷∴⫏≰10012110=⫏≰-10121012","layer":3},{"info":"↣≠⋷⫏≰2000222=NaN","layer":3},{"info":"⫏≰-10121012↙NaN=⫏≰-10121012","layer":2},{"info":"⫏≰-10121012⪠⩆⊳=⫏≰0","layer":1},{"info":"↽≂⫏≰20120101=⫏≰-111010202","layer":3},{"info":"⊙↵-⫏≰-111010202=⫏≰21021","layer":2},{"info":"⫏≰11211220⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰11200021⨓⫏≰10122212=⫏≰-10122222","layer":3},{"info":"⫏≰0⩚⊴⇥⫏≰-10122222=⫏≰10111111","layer":2},{"info":"⫏≰21021⋥≓≎⫏≰10111111=⫏≰20202221","layer":1},{"info":"⫏≰0⩨⫏≰20202221=NaN","layer":0}]}
{"id":930,"expression_no_base_symbol":"($5474$⨓$2196$⋳⪒$1237$⋓$8630$)+⇶⊼((↥$3992$)⨎($1154$⋷$1319$))+⇶⊼(($1419$⇷$1742$)⨪↰⇹($2208$+$1007$)-(⪝⪂⫅($1846$⪒$4065$)))","expression":"(⫏≰21111202⨓⫏≰10000100⋳⪒⫏≰1200211⋓⫏≰102211122)+⇶⊼((↥⫏≰12110212)⨎(⫏≰1120202⋷⫏≰1210212))+⇶⊼((⫏≰1221120⇷⫏≰2101112)⨪↰⇹(⫏≰10000210+⫏≰1101022)-(⪝⪂⫅(⫏≰2112101⪒⫏≰12120120)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25817,"operation_count":14,"complexity_ratio":1844.0714285714287,"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":5474,"base":3},"right_expr":{"type":"numeric_atoms","value":2196,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1237,"base":3},"right_expr":{"type":"numeric_atoms","value":8630,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3992,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1154,"base":3},"right_expr":{"type":"numeric_atoms","value":1319,"base":3}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1419,"base":3},"right_expr":{"type":"numeric_atoms","value":1742,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2208,"base":3},"right_expr":{"type":"numeric_atoms","value":1007,"base":3}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1846,"base":3},"right_expr":{"type":"numeric_atoms","value":4065,"base":3}}}}},"used_operators":["TpPTUOHfaN","12rbrZMWeM","3ViojmjbAp","T2fj7uvVaJ","rJVOvQCfKK","A8NUZmVepG","23Mk6UjR3U","rysDP5nf3Z","tmPS8pqC7x","mp7IySMOzn","W4YGzv6Whe","XTarYq4gQB","f6k1SAg4EE"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5474","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=5474, right_input=2196, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2199","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=8630","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=8630, op_id = T2fj7uvVaJ 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=-2199, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4685","layer":2},{"info":"number node, value=3992","layer":4},{"info":"compute unary expreesion, input=3992, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=14","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=1319, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1484","layer":3},{"info":"compute binary expreesion, left_input=14, right_input=1484, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1484","layer":2},{"info":"compute binary expreesion, left_input=-4685, right_input=1484, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1419","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=1742, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3484","layer":3},{"info":"number node, value=2208","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=1007, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3215","layer":3},{"info":"compute binary expreesion, left_input=3484, right_input=3215, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3484","layer":2},{"info":"number node, value=1846","layer":4},{"info":"number node, value=4065","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=4065, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5911","layer":3},{"info":"compute unary expreesion, input=-5911, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=868917","layer":2},{"info":"compute binary expreesion, left_input=3484, right_input=868917, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-865433","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-865433, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":3,"result_base":3,"text":"(⫏≰21111202⨓⫏≰10000100⋳⪒⫏≰1200211⋓⫏≰102211122)+⇶⊼((↥⫏≰12110212)⨎(⫏≰1120202⋷⫏≰1210212))+⇶⊼((⫏≰1221120⇷⫏≰2101112)⨪↰⇹(⫏≰10000210+⫏≰1101022)-(⪝⪂⫅(⫏≰2112101⪒⫏≰12120120)))=NaN","reverse_text":"NaN=(⫏≰21111202⨓⫏≰10000100⋳⪒⫏≰1200211⋓⫏≰102211122)+⇶⊼((↥⫏≰12110212)⨎(⫏≰1120202⋷⫏≰1210212))+⇶⊼((⫏≰1221120⇷⫏≰2101112)⨪↰⇹(⫏≰10000210+⫏≰1101022)-(⪝⪂⫅(⫏≰2112101⪒⫏≰12120120)))","cot":[{"info":"⫏≰21111202⨓⫏≰10000100=⫏≰-10000110","layer":3},{"info":"⫏≰1200211⋓⫏≰102211122=⫏≰0","layer":3},{"info":"⫏≰-10000110⋳⪒⫏≰0=⫏≰-20102112","layer":2},{"info":"↥⫏≰12110212=⫏≰112","layer":3},{"info":"⫏≰1120202⋷⫏≰1210212=⫏≰2000222","layer":3},{"info":"⫏≰112⨎⫏≰2000222=⫏≰2000222","layer":2},{"info":"⫏≰-20102112+⇶⊼⫏≰2000222=NaN","layer":1},{"info":"⫏≰1221120⇷⫏≰2101112=⫏≰11210001","layer":3},{"info":"⫏≰10000210+⫏≰1101022=⫏≰11102002","layer":3},{"info":"⫏≰11210001⨪↰⇹⫏≰11102002=⫏≰11210001","layer":2},{"info":"⫏≰2112101⪒⫏≰12120120=⫏≰-22002221","layer":3},{"info":"⪝⪂⫅⫏≰-22002221=⫏≰1122010221010","layer":2},{"info":"⫏≰11210001-⫏≰1122010221010=⫏≰-1121222011002","layer":1},{"info":"NaN+⇶⊼⫏≰-1121222011002=NaN","layer":0}]}
{"id":931,"expression_no_base_symbol":"(($9132$∑⇟⊟$3422$)∼($1174$≭$1171$)⋷($4692$⩨$6786$)⫸⊐(+⊝⨔$6579$))↺(($2663$↺$1719$)⫥∨⫟($2097$%$1041$)⪄(($1361$⪨≂$3044$)⊉≛↸$2539$⪘⫢$2260$))","expression":"((⫏≰110112020∑⇟⊟⫏≰11200202)∼(⫏≰1121111≭⫏≰1121101)⋷(⫏≰20102210⩨⫏≰100022100)⫸⊐(+⊝⨔⫏≰100000200))↺((⫏≰10122122↺⫏≰2100200)⫥∨⫟(⫏≰2212200%⫏≰1102120)⪄((⫏≰1212102⪨≂⫏≰11011202)⊉≛↸⫏≰10111001⪘⫢⫏≰10002201))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":260,"operation_count":15,"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":9132,"base":3},"right_expr":{"type":"numeric_atoms","value":3422,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1174,"base":3},"right_expr":{"type":"numeric_atoms","value":1171,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4692,"base":3},"right_expr":{"type":"numeric_atoms","value":6786,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6579,"base":3}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2663,"base":3},"right_expr":{"type":"numeric_atoms","value":1719,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2097,"base":3},"right_expr":{"type":"numeric_atoms","value":1041,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1361,"base":3},"right_expr":{"type":"numeric_atoms","value":3044,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2539,"base":3},"right_expr":{"type":"numeric_atoms","value":2260,"base":3}}}}},"used_operators":["7j4O788W3g","23Mk6UjR3U","DyGG3AbaNP","U7g4x0WXJJ","rxpJgHHUmx","mqXw5SEYmG","2DlMacCsIx","DhbWaqg5eL","SUmda5xLS4","KYD54nUTWz","k8jYdgA6NY","DZ8iAZOCBD","sdazOOVcIp","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫏≰12110101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9132","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=9132, right_input=3422, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=1171, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":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=4692","layer":4},{"info":"number node, value=6786","layer":4},{"info":"compute binary expreesion, left_input=4692, right_input=6786, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=6579","layer":4},{"info":"compute unary expreesion, input=6579, 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=-3, right_input=1522, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=481","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=481, 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=2663","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=1719, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1719","layer":3},{"info":"number node, value=2097","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=2097, right_input=1041, op_id = k8jYdgA6NY binary_op_definition= 'None', output=15","layer":3},{"info":"compute binary expreesion, left_input=1719, right_input=15, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1361","layer":4},{"info":"number node, value=3044","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=3044, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3264","layer":3},{"info":"number node, value=2539","layer":4},{"info":"number node, value=2260","layer":4},{"info":"compute binary expreesion, left_input=2539, right_input=2260, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4954","layer":3},{"info":"compute binary expreesion, left_input=-3264, right_input=4954, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-4954","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4954, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3979","layer":0}],"base":3,"result_base":3,"text":"((⫏≰110112020∑⇟⊟⫏≰11200202)∼(⫏≰1121111≭⫏≰1121101)⋷(⫏≰20102210⩨⫏≰100022100)⫸⊐(+⊝⨔⫏≰100000200))↺((⫏≰10122122↺⫏≰2100200)⫥∨⫟(⫏≰2212200%⫏≰1102120)⪄((⫏≰1212102⪨≂⫏≰11011202)⊉≛↸⫏≰10111001⪘⫢⫏≰10002201))=⫏≰12110101","reverse_text":"⫏≰12110101=((⫏≰110112020∑⇟⊟⫏≰11200202)∼(⫏≰1121111≭⫏≰1121101)⋷(⫏≰20102210⩨⫏≰100022100)⫸⊐(+⊝⨔⫏≰100000200))↺((⫏≰10122122↺⫏≰2100200)⫥∨⫟(⫏≰2212200%⫏≰1102120)⪄((⫏≰1212102⪨≂⫏≰11011202)⊉≛↸⫏≰10111001⪘⫢⫏≰10002201))","cot":[{"info":"⫏≰110112020∑⇟⊟⫏≰11200202=NaN","layer":3},{"info":"⫏≰1121111≭⫏≰1121101=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"⫏≰20102210⩨⫏≰100022100=⫏≰-10","layer":3},{"info":"+⊝⨔⫏≰100000200=⫏≰2002101","layer":3},{"info":"⫏≰-10⫸⊐⫏≰2002101=⫏≰122211","layer":2},{"info":"NaN⋷⫏≰122211=NaN","layer":1},{"info":"⫏≰10122122↺⫏≰2100200=⫏≰2100200","layer":3},{"info":"⫏≰2212200%⫏≰1102120=⫏≰120","layer":3},{"info":"⫏≰2100200⫥∨⫟⫏≰120=NaN","layer":2},{"info":"⫏≰1212102⪨≂⫏≰11011202=⫏≰-11110220","layer":3},{"info":"⫏≰10111001⪘⫢⫏≰10002201=⫏≰20210111","layer":3},{"info":"⫏≰-11110220⊉≛↸⫏≰20210111=⫏≰-20210111","layer":2},{"info":"NaN⪄⫏≰-20210111=⫏≰12110101","layer":1},{"info":"NaN↺⫏≰12110101=⫏≰12110101","layer":0}]}
{"id":932,"expression_no_base_symbol":"(↔($1052$≎⊠⪸$1053$))⋓(($9182$∲⫓$2642$)⋥≓≎(⪲⇎$1704$))⋝⋈⪟((↽≂(∂$8738$))⋷(↔($1284$⊭∹↮)))","expression":"(↔(⫏≰1102222≎⊠⪸⫏≰1110000))⋓((⫏≰110121002∲⫓⫏≰10121212)⋥≓≎(⪲⇎⫏≰2100010))⋝⋈⪟((↽≂(∂⫏≰102222122))⋷(↔(⫏≰1202120⊭∹↮)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":320,"operation_count":12,"complexity_ratio":26.666666666666668,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1052,"base":3},"right_expr":{"type":"numeric_atoms","value":1053,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":9182,"base":3},"right_expr":{"type":"numeric_atoms","value":2642,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1704,"base":3}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":8738,"base":3}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1284,"base":3}}}}},"used_operators":["2DDjHMKMc0","T2fj7uvVaJ","ruOEQAzv1W","bJkvcejdHO","Qy55tPpLXF","i8ToyICDmI","XPYlsWDdGa","23Mk6UjR3U","u6S6b8DprG","Uaa54Peajs","xNBdhnnwKq"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1052","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1053, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=271995","layer":3},{"info":"compute unary expreesion, input=271995, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-271722","layer":2},{"info":"number node, value=9182","layer":4},{"info":"number node, value=2642","layer":4},{"info":"compute binary expreesion, left_input=9182, right_input=2642, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1704","layer":4},{"info":"compute unary expreesion, input=1704, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3408","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3408, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6849","layer":2},{"info":"compute binary expreesion, left_input=-271722, right_input=6849, op_id = T2fj7uvVaJ 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=8738","layer":4},{"info":"compute unary expreesion, input=8738, 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 = 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":"number node, value=1284","layer":4},{"info":"compute unary expreesion, input=1284, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2568","layer":3},{"info":"compute unary expreesion, input=2568, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2295","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2295, 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=0, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↔(⫏≰1102222≎⊠⪸⫏≰1110000))⋓((⫏≰110121002∲⫓⫏≰10121212)⋥≓≎(⪲⇎⫏≰2100010))⋝⋈⪟((↽≂(∂⫏≰102222122))⋷(↔(⫏≰1202120⊭∹↮)))=NaN","reverse_text":"NaN=(↔(⫏≰1102222≎⊠⪸⫏≰1110000))⋓((⫏≰110121002∲⫓⫏≰10121212)⋥≓≎(⪲⇎⫏≰2100010))⋝⋈⪟((↽≂(∂⫏≰102222122))⋷(↔(⫏≰1202120⊭∹↮)))","cot":[{"info":"⫏≰1102222≎⊠⪸⫏≰1110000=⫏≰111211002220","layer":3},{"info":"↔⫏≰111211002220=⫏≰-111210201210","layer":2},{"info":"⫏≰110121002∲⫓⫏≰10121212=⫏≰0","layer":3},{"info":"⪲⇎⫏≰2100010=⫏≰11200020","layer":3},{"info":"⫏≰0⋥≓≎⫏≰11200020=⫏≰100101200","layer":2},{"info":"⫏≰-111210201210⋓⫏≰100101200=⫏≰0","layer":1},{"info":"∂⫏≰102222122=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⫏≰1202120⊭∹↮=⫏≰10112010","layer":3},{"info":"↔⫏≰10112010=⫏≰-10011000","layer":2},{"info":"NaN⋷⫏≰-10011000=NaN","layer":1},{"info":"⫏≰0⋝⋈⪟NaN=NaN","layer":0}]}
{"id":933,"expression_no_base_symbol":"⨈⫕$3009$⨟⋌⩍$3725$∼($3746$⇼⇔∾$6013$)⩷∴$1135$⇷$5143$⨓$2692$≹⇙⪍$2432$","expression":"⨈⫕⫏≰11010110⨟⋌⩍⫏≰12002222∼(⫏≰12010202⇼⇔∾⫏≰22020201)⩷∴⫏≰1120001⇷⫏≰21001111⨓⫏≰10200201≹⇙⪍⫏≰10100002","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16302,"operation_count":8,"complexity_ratio":2037.75,"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":3009,"base":3},"right_expr":{"type":"numeric_atoms","value":3725,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3746,"base":3},"right_expr":{"type":"numeric_atoms","value":6013,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1135,"base":3},"right_expr":{"type":"numeric_atoms","value":5143,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2692,"base":3},"right_expr":{"type":"numeric_atoms","value":2432,"base":3}}}}},"used_operators":["megm06wKyl","9FxExcQeMw","DyGG3AbaNP","rGHVDoGpnC","tifHPKVTfV","3ViojmjbAp","mp7IySMOzn","AHs5Up7iyr"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3009","layer":4},{"info":"number node, value=3725","layer":4},{"info":"compute binary expreesion, left_input=3009, right_input=3725, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=3746","layer":4},{"info":"number node, value=6013","layer":4},{"info":"compute binary expreesion, left_input=3746, right_input=6013, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2267","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2267, 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=1135","layer":4},{"info":"number node, value=5143","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=5143, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10286","layer":3},{"info":"number node, value=2692","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=2692, right_input=2432, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=10286, 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 = 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":3,"result_base":3,"text":"⨈⫕⫏≰11010110⨟⋌⩍⫏≰12002222∼(⫏≰12010202⇼⇔∾⫏≰22020201)⩷∴⫏≰1120001⇷⫏≰21001111⨓⫏≰10200201≹⇙⪍⫏≰10100002=⫏≰-210","reverse_text":"⫏≰-210=⨈⫕⫏≰11010110⨟⋌⩍⫏≰12002222∼(⫏≰12010202⇼⇔∾⫏≰22020201)⩷∴⫏≰1120001⇷⫏≰21001111⨓⫏≰10200201≹⇙⪍⫏≰10100002","cot":[{"info":"⫏≰11010110⨟⋌⩍⫏≰12002222=NaN","layer":3},{"info":"⫏≰12010202⇼⇔∾⫏≰22020201=⫏≰10002222","layer":3},{"info":"NaN∼⫏≰10002222=NaN","layer":2},{"info":"⫏≰1120001⇷⫏≰21001111=⫏≰112002222","layer":3},{"info":"⫏≰10200201≹⇙⪍⫏≰10100002=NaN","layer":3},{"info":"⫏≰112002222⨓NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⨈⫕NaN=⫏≰-210","layer":0}]}
{"id":934,"expression_no_base_symbol":"($1152$⨵⪆$4940$↪⪝)∑⇟⊟($1271$⩷∴$2870$)↬$1152$⪢$4169$⋳⪒(($1015$⨽$8113$)≹⇙⪍($2167$⨸⪁$4894$)∸)","expression":"(⫏≰1120200⨵⪆⫏≰20202222↪⪝)∑⇟⊟(⫏≰1202002⩷∴⫏≰10221022)↬⫏≰1120200⪢⫏≰12201102⋳⪒((⫏≰1101121⨽⫏≰102010111)≹⇙⪍(⫏≰2222021⨸⪁⫏≰20201021)∸)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5656,"operation_count":11,"complexity_ratio":514.1818181818181,"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":1152,"base":3},"right_expr":{"type":"numeric_atoms","value":4940,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1271,"base":3},"right_expr":{"type":"numeric_atoms","value":2870,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1152,"base":3},"right_expr":{"type":"numeric_atoms","value":4169,"base":3}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1015,"base":3},"right_expr":{"type":"numeric_atoms","value":8113,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2167,"base":3},"right_expr":{"type":"numeric_atoms","value":4894,"base":3}}}}},"used_operators":["12rbrZMWeM","U7g4x0WXJJ","l07mrZUIn9","2DQ55sFlQl","B5M0gjZbta","9FxExcQeMw","dWAJyo7jo9","o20kRiQErp","AHs5Up7iyr","8HhzD0ZcuI","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","k8jYdgA6NY","tmPS8pqC7x","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1152","layer":4},{"info":"number node, value=4940","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=4940, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=9789120","layer":2},{"info":"number node, value=1271","layer":4},{"info":"number node, value=2870","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=2870, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3230","layer":3},{"info":"number node, value=1152","layer":4},{"info":"number node, value=4169","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=4169, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-3230, 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=9789120, 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=1015","layer":4},{"info":"number node, value=8113","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=8113, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3113700","layer":3},{"info":"number node, value=2167","layer":4},{"info":"number node, value=4894","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=4894, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14122","layer":3},{"info":"compute binary expreesion, left_input=-3113700, right_input=14122, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1120200⨵⪆⫏≰20202222↪⪝)∑⇟⊟(⫏≰1202002⩷∴⫏≰10221022)↬⫏≰1120200⪢⫏≰12201102⋳⪒((⫏≰1101121⨽⫏≰102010111)≹⇙⪍(⫏≰2222021⨸⪁⫏≰20201021)∸)=NaN","reverse_text":"NaN=(⫏≰1120200⨵⪆⫏≰20202222↪⪝)∑⇟⊟(⫏≰1202002⩷∴⫏≰10221022)↬⫏≰1120200⪢⫏≰12201102⋳⪒((⫏≰1101121⨽⫏≰102010111)≹⇙⪍(⫏≰2222021⨸⪁⫏≰20201021)∸)","cot":[{"info":"⫏≰1120200⨵⪆⫏≰20202222=⫏≰12221","layer":3},{"info":"⫏≰12221↪⪝=⫏≰200102100011000","layer":2},{"info":"⫏≰1202002⩷∴⫏≰10221022=⫏≰-11102122","layer":3},{"info":"⫏≰1120200⪢⫏≰12201102=NaN","layer":3},{"info":"⫏≰-11102122↬NaN=NaN","layer":2},{"info":"⫏≰200102100011000∑⇟⊟NaN=NaN","layer":1},{"info":"⫏≰1101121⨽⫏≰102010111=⫏≰-12212012012020","layer":3},{"info":"⫏≰2222021⨸⪁⫏≰20201021=⫏≰201101001","layer":3},{"info":"⫏≰-12212012012020≹⇙⪍⫏≰201101001=NaN","layer":2},{"info":"NaN∸=⫏≰20120","layer":1},{"info":"NaN⋳⪒⫏≰20120=NaN","layer":0}]}
{"id":935,"expression_no_base_symbol":"((⊥($4837$⩚⊴⇥$4082$))⫡⨏(⨞⊢($5021$-$1615$)))⫸⊐($3143$⋳⪒$3674$⊠≄⫣)↙(↩$1144$)∀⇚≩($8018$⋓$1733$)","expression":"((⊥(⫏≰20122011⩚⊴⇥⫏≰12121012))⫡⨏(⨞⊢(⫏≰20212222-⫏≰2012211)))⫸⊐(⫏≰11022102⋳⪒⫏≰12001002⊠≄⫣)↙(↩⫏≰1120101)∀⇚≩(⫏≰101222222⋓⫏≰2101012)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":44662,"operation_count":12,"complexity_ratio":3721.8333333333335,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4837,"base":3},"right_expr":{"type":"numeric_atoms","value":4082,"base":3}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5021,"base":3},"right_expr":{"type":"numeric_atoms","value":1615,"base":3}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3143,"base":3},"right_expr":{"type":"numeric_atoms","value":3674,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1144,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8018,"base":3},"right_expr":{"type":"numeric_atoms","value":1733,"base":3}}}}},"used_operators":["mqXw5SEYmG","QMFrweE19q","Q3PJZHRvZv","NTOWxs364D","xUOZtlo3hN","rysDP5nf3Z","yyfyN0ffXY","DIvbN7qnHd","12rbrZMWeM","LRNGc0VcxI","jLgFTUHLKL","T2fj7uvVaJ"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4837","layer":4},{"info":"number node, value=4082","layer":4},{"info":"compute binary expreesion, left_input=4837, right_input=4082, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9040","layer":3},{"info":"compute unary expreesion, input=-9040, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=5021","layer":4},{"info":"number node, value=1615","layer":4},{"info":"compute binary expreesion, left_input=5021, right_input=1615, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3406","layer":3},{"info":"compute unary expreesion, input=3406, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3580","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3580, op_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=3143","layer":4},{"info":"number node, value=3674","layer":4},{"info":"compute binary expreesion, left_input=3143, right_input=3674, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2325","layer":3},{"info":"compute unary expreesion, input=2325, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6372","layer":3},{"info":"number node, value=8018","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=8018, right_input=1733, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6372, 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=0, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊥(⫏≰20122011⩚⊴⇥⫏≰12121012))⫡⨏(⨞⊢(⫏≰20212222-⫏≰2012211)))⫸⊐(⫏≰11022102⋳⪒⫏≰12001002⊠≄⫣)↙(↩⫏≰1120101)∀⇚≩(⫏≰101222222⋓⫏≰2101012)=NaN","reverse_text":"NaN=((⊥(⫏≰20122011⩚⊴⇥⫏≰12121012))⫡⨏(⨞⊢(⫏≰20212222-⫏≰2012211)))⫸⊐(⫏≰11022102⋳⪒⫏≰12001002⊠≄⫣)↙(↩⫏≰1120101)∀⇚≩(⫏≰101222222⋓⫏≰2101012)","cot":[{"info":"⫏≰20122011⩚⊴⇥⫏≰12121012=⫏≰-110101211","layer":3},{"info":"⊥⫏≰-110101211=NaN","layer":2},{"info":"⫏≰20212222-⫏≰2012211=⫏≰11200011","layer":3},{"info":"⨞⊢⫏≰11200011=⫏≰-11220121","layer":2},{"info":"NaN⫡⨏⫏≰-11220121=NaN","layer":1},{"info":"⫏≰11022102⋳⪒⫏≰12001002=⫏≰10012010","layer":3},{"info":"⫏≰10012010⊠≄⫣=⫏≰0","layer":2},{"info":"↩⫏≰1120101=⫏≰-22202000","layer":3},{"info":"⫏≰101222222⋓⫏≰2101012=⫏≰0","layer":3},{"info":"⫏≰-22202000∀⇚≩⫏≰0=NaN","layer":2},{"info":"⫏≰0↙NaN=⫏≰0","layer":1},{"info":"NaN⫸⊐⫏≰0=NaN","layer":0}]}
{"id":936,"expression_no_base_symbol":"($4548$⪢$1294$⨵⪆$4243$⪛$1079$)⋓(($1796$⨸⪁$6446$)⋝⋈⪟($2218$⩨$6172$))⪒(($2724$-$3949$)⪢($9169$⊘)⨵⪆($5529$≫≃)⨐⩸⫘($6025$⊉≛↸$8479$))","expression":"(⫏≰20020110⪢⫏≰1202221⨵⪆⫏≰12211011⪛⫏≰1110222)⋓((⫏≰2110112⨸⪁⫏≰22211202)⋝⋈⪟(⫏≰10001011⩨⫏≰22110121))⪒((⫏≰10201220-⫏≰12102021)⪢(⫏≰110120121⊘)⨵⪆(⫏≰21120210≫≃)⨐⩸⫘(⫏≰22021011⊉≛↸⫏≰102122001))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2077,"operation_count":15,"complexity_ratio":138.46666666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4548,"base":3},"right_expr":{"type":"numeric_atoms","value":1294,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4243,"base":3},"right_expr":{"type":"numeric_atoms","value":1079,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1796,"base":3},"right_expr":{"type":"numeric_atoms","value":6446,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2218,"base":3},"right_expr":{"type":"numeric_atoms","value":6172,"base":3}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2724,"base":3},"right_expr":{"type":"numeric_atoms","value":3949,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":9169,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5529,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6025,"base":3},"right_expr":{"type":"numeric_atoms","value":8479,"base":3}}}}},"used_operators":["f6k1SAg4EE","T2fj7uvVaJ","2DQ55sFlQl","dWAJyo7jo9","uFcxV4UQCh","2DDjHMKMc0","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","gu96TGCTMs","fu6greOZ01","X99M06cbEe","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","3ViojmjbAp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4548","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=4548, 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":"number node, value=4243","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=4243, right_input=1079, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1006","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1006, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1796","layer":4},{"info":"number node, value=6446","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=6446, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16484","layer":3},{"info":"number node, value=2218","layer":4},{"info":"number node, value=6172","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=6172, 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=16484, right_input=-6, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=16484","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=16484, op_id = T2fj7uvVaJ 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=2724","layer":4},{"info":"number node, value=3949","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=3949, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1225","layer":3},{"info":"number node, value=9169","layer":4},{"info":"compute unary expreesion, input=9169, 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=-1225, 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=5529","layer":4},{"info":"compute unary expreesion, input=5529, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12459","layer":3},{"info":"number node, value=6025","layer":4},{"info":"number node, value=8479","layer":4},{"info":"compute binary expreesion, left_input=6025, right_input=8479, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12050","layer":3},{"info":"compute binary expreesion, left_input=12459, right_input=12050, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-160","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20020110⪢⫏≰1202221⨵⪆⫏≰12211011⪛⫏≰1110222)⋓((⫏≰2110112⨸⪁⫏≰22211202)⋝⋈⪟(⫏≰10001011⩨⫏≰22110121))⪒((⫏≰10201220-⫏≰12102021)⪢(⫏≰110120121⊘)⨵⪆(⫏≰21120210≫≃)⨐⩸⫘(⫏≰22021011⊉≛↸⫏≰102122001))=⫏≰-12221","reverse_text":"⫏≰-12221=(⫏≰20020110⪢⫏≰1202221⨵⪆⫏≰12211011⪛⫏≰1110222)⋓((⫏≰2110112⨸⪁⫏≰22211202)⋝⋈⪟(⫏≰10001011⩨⫏≰22110121))⪒((⫏≰10201220-⫏≰12102021)⪢(⫏≰110120121⊘)⨵⪆(⫏≰21120210≫≃)⨐⩸⫘(⫏≰22021011⊉≛↸⫏≰102122001))","cot":[{"info":"⫏≰20020110⪢⫏≰1202221=NaN","layer":3},{"info":"⫏≰12211011⪛⫏≰1110222=⫏≰1101021","layer":3},{"info":"NaN⨵⪆⫏≰1101021=⫏≰12221","layer":2},{"info":"⫏≰2110112⨸⪁⫏≰22211202=⫏≰211121112","layer":3},{"info":"⫏≰10001011⩨⫏≰22110121=⫏≰-20","layer":3},{"info":"⫏≰211121112⋝⋈⪟⫏≰-20=⫏≰211121112","layer":2},{"info":"⫏≰12221⋓⫏≰211121112=⫏≰0","layer":1},{"info":"⫏≰10201220-⫏≰12102021=⫏≰-1200101","layer":3},{"info":"⫏≰110120121⊘=⫏≰0","layer":3},{"info":"⫏≰-1200101⪢⫏≰0=⫏≰0","layer":2},{"info":"⫏≰21120210≫≃=⫏≰122002110","layer":3},{"info":"⫏≰22021011⊉≛↸⫏≰102122001=⫏≰121112022","layer":3},{"info":"⫏≰122002110⨐⩸⫘⫏≰121112022=NaN","layer":2},{"info":"⫏≰0⨵⪆NaN=⫏≰12221","layer":1},{"info":"⫏≰0⪒⫏≰12221=⫏≰-12221","layer":0}]}
{"id":937,"expression_no_base_symbol":"(⫓⪴($2587$-$1215$))⨳⩥⨓($2418$≹⇙⪍$1809$⫡⨏$6373$∲⫓$5132$)%(↯⪼((⨰⫟⨤$1630$)∑⇟⊟$1392$⪘⫢$1382$))","expression":"(⫓⪴(⫏≰10112211-⫏≰1200000))⨳⩥⨓(⫏≰10022120≹⇙⪍⫏≰2111000⫡⨏⫏≰22202001∲⫓⫏≰21001002)%(↯⪼((⨰⫟⨤⫏≰2020101)∑⇟⊟⫏≰1220120⪘⫢⫏≰1220012))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7114,"operation_count":11,"complexity_ratio":646.7272727272727,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2587,"base":3},"right_expr":{"type":"numeric_atoms","value":1215,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2418,"base":3},"right_expr":{"type":"numeric_atoms","value":1809,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6373,"base":3},"right_expr":{"type":"numeric_atoms","value":5132,"base":3}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1630,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1392,"base":3},"right_expr":{"type":"numeric_atoms","value":1382,"base":3}}}}},"used_operators":["k8jYdgA6NY","nCS4ZIUYfx","eLxqMNBOBk","rysDP5nf3Z","QMFrweE19q","AHs5Up7iyr","i8ToyICDmI","8jW3W4yZS5","U7g4x0WXJJ","Tw270M8GLb","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2587","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=2587, right_input=1215, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1372","layer":3},{"info":"compute unary expreesion, input=1372, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1882384","layer":2},{"info":"number node, value=2418","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=1809, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=6373","layer":4},{"info":"number node, value=5132","layer":4},{"info":"compute binary expreesion, left_input=6373, right_input=5132, 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 = 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=1882384, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1392","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=1392, right_input=1382, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2660","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2660, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫓⪴(⫏≰10112211-⫏≰1200000))⨳⩥⨓(⫏≰10022120≹⇙⪍⫏≰2111000⫡⨏⫏≰22202001∲⫓⫏≰21001002)%(↯⪼((⨰⫟⨤⫏≰2020101)∑⇟⊟⫏≰1220120⪘⫢⫏≰1220012))=NaN","reverse_text":"NaN=(⫓⪴(⫏≰10112211-⫏≰1200000))⨳⩥⨓(⫏≰10022120≹⇙⪍⫏≰2111000⫡⨏⫏≰22202001∲⫓⫏≰21001002)%(↯⪼((⨰⫟⨤⫏≰2020101)∑⇟⊟⫏≰1220120⪘⫢⫏≰1220012))","cot":[{"info":"⫏≰10112211-⫏≰1200000=⫏≰1212211","layer":3},{"info":"⫓⪴⫏≰1212211=⫏≰10112122010221","layer":2},{"info":"⫏≰10022120≹⇙⪍⫏≰2111000=NaN","layer":3},{"info":"⫏≰22202001∲⫓⫏≰21001002=⫏≰0","layer":3},{"info":"NaN⫡⨏⫏≰0=NaN","layer":2},{"info":"⫏≰10112122010221⨳⩥⨓NaN=NaN","layer":1},{"info":"⨰⫟⨤⫏≰2020101=NaN","layer":3},{"info":"⫏≰1220120⪘⫢⫏≰1220012=⫏≰10122112","layer":3},{"info":"NaN∑⇟⊟⫏≰10122112=NaN","layer":2},{"info":"↯⪼NaN=⫏≰-210","layer":1},{"info":"NaN%⫏≰-210=NaN","layer":0}]}
{"id":938,"expression_no_base_symbol":"(($1771$⊴$1160$⋳⪒($4372$⨎$1093$))⊭∹↮)⫸⊐($3347$⨵⪆$1799$)⇷($3392$⫸⊐$3821$)⨳⩥⨓($1483$%$5646$)⪘⫢$1395$⪘⫢$1575$","expression":"((⫏≰2102121⊴⫏≰1120222⋳⪒(⫏≰12222221⨎⫏≰1111111))⊭∹↮)⫸⊐(⫏≰11120222⨵⪆⫏≰2110122)⇷(⫏≰11122122⫸⊐⫏≰12020112)⨳⩥⨓(⫏≰2000221%⫏≰21202010)⪘⫢⫏≰1220200⪘⫢⫏≰2011100","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3889,"operation_count":12,"complexity_ratio":324.0833333333333,"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":1771,"base":3},"right_expr":{"type":"numeric_atoms","value":1160,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4372,"base":3},"right_expr":{"type":"numeric_atoms","value":1093,"base":3}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3347,"base":3},"right_expr":{"type":"numeric_atoms","value":1799,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3392,"base":3},"right_expr":{"type":"numeric_atoms","value":3821,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1483,"base":3},"right_expr":{"type":"numeric_atoms","value":5646,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1395,"base":3},"right_expr":{"type":"numeric_atoms","value":1575,"base":3}}}}},"used_operators":["mqXw5SEYmG","xNBdhnnwKq","12rbrZMWeM","Nsiff2A1zJ","rJVOvQCfKK","nCS4ZIUYfx","mp7IySMOzn","2DQ55sFlQl","oacrs7FA3X","k8jYdgA6NY"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1771","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=1771, right_input=1160, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4372","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=4372, right_input=1093, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1093","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1093, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"number node, value=3347","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=3347, right_input=1799, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3392","layer":4},{"info":"number node, value=3821","layer":4},{"info":"compute binary expreesion, left_input=3392, right_input=3821, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15159","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=15159, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=30318","layer":2},{"info":"number node, value=1483","layer":4},{"info":"number node, value=5646","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=5646, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1483","layer":3},{"info":"number node, value=1395","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=1575, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2666","layer":3},{"info":"compute binary expreesion, left_input=1483, right_input=2666, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2842","layer":2},{"info":"compute binary expreesion, left_input=30318, right_input=2842, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-27476","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-27476, 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":3,"result_base":3,"text":"((⫏≰2102121⊴⫏≰1120222⋳⪒(⫏≰12222221⨎⫏≰1111111))⊭∹↮)⫸⊐(⫏≰11120222⨵⪆⫏≰2110122)⇷(⫏≰11122122⫸⊐⫏≰12020112)⨳⩥⨓(⫏≰2000221%⫏≰21202010)⪘⫢⫏≰1220200⪘⫢⫏≰2011100=NaN","reverse_text":"NaN=((⫏≰2102121⊴⫏≰1120222⋳⪒(⫏≰12222221⨎⫏≰1111111))⊭∹↮)⫸⊐(⫏≰11120222⨵⪆⫏≰2110122)⇷(⫏≰11122122⫸⊐⫏≰12020112)⨳⩥⨓(⫏≰2000221%⫏≰21202010)⪘⫢⫏≰1220200⪘⫢⫏≰2011100","cot":[{"info":"⫏≰2102121⊴⫏≰1120222=NaN","layer":3},{"info":"⫏≰12222221⨎⫏≰1111111=⫏≰1111111","layer":3},{"info":"NaN⋳⪒⫏≰1111111=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⫏≰11120222⨵⪆⫏≰2110122=⫏≰12221","layer":3},{"info":"⫏≰11122122⫸⊐⫏≰12020112=⫏≰202210110","layer":3},{"info":"⫏≰12221⇷⫏≰202210110=⫏≰1112120220","layer":2},{"info":"⫏≰2000221%⫏≰21202010=⫏≰2000221","layer":3},{"info":"⫏≰1220200⪘⫢⫏≰2011100=⫏≰10122202","layer":3},{"info":"⫏≰2000221⪘⫢⫏≰10122202=⫏≰10220021","layer":2},{"info":"⫏≰1112120220⨳⩥⨓⫏≰10220021=⫏≰-1101200122","layer":1},{"info":"NaN⫸⊐⫏≰-1101200122=NaN","layer":0}]}
{"id":939,"expression_no_base_symbol":"(($1410$⪨≂$2955$)⨽($1334$≣⋋)⊉≛↸($5701$≧⫂∧$4168$)⪢($5545$⩠))⋝⋈⪟((+⊝⨔$4203$)⪘⫢($9007$⪨≂$5779$)⨽($2661$≭$1419$)⪢(⪝⪂⫅$3733$))","expression":"((⫏≰1221020⪨≂⫏≰11001110)⨽(⫏≰1211102≣⋋)⊉≛↸(⫏≰21211011≧⫂∧⫏≰12201101)⪢(⫏≰21121101⩠))⋝⋈⪟((+⊝⨔⫏≰12202200)⪘⫢(⫏≰110100121⪨≂⫏≰21221001)⨽(⫏≰10122120≭⫏≰1221120)⪢(⪝⪂⫅⫏≰12010021))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":555434,"operation_count":15,"complexity_ratio":37028.933333333334,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1410,"base":3},"right_expr":{"type":"numeric_atoms","value":2955,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1334,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5701,"base":3},"right_expr":{"type":"numeric_atoms","value":4168,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5545,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4203,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":9007,"base":3},"right_expr":{"type":"numeric_atoms","value":5779,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2661,"base":3},"right_expr":{"type":"numeric_atoms","value":1419,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3733,"base":3}}}}},"used_operators":["2DDjHMKMc0","DZ8iAZOCBD","8HhzD0ZcuI","sdazOOVcIp","Tcnh7f0tEr","dWAJyo7jo9","Ph9nP6C5qx","sJAwomhLZr","oacrs7FA3X","DhbWaqg5eL","rxpJgHHUmx","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1410","layer":4},{"info":"number node, value=2955","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=2955, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2988","layer":3},{"info":"number node, value=1334","layer":4},{"info":"compute unary expreesion, input=1334, 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=-2988, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-26783118","layer":2},{"info":"number node, value=5701","layer":4},{"info":"number node, value=4168","layer":4},{"info":"compute binary expreesion, left_input=5701, right_input=4168, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3695","layer":3},{"info":"number node, value=5545","layer":4},{"info":"compute unary expreesion, input=5545, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3695, 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=-26783118, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"number node, value=4203","layer":4},{"info":"compute unary expreesion, input=4203, 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=9007","layer":4},{"info":"number node, value=5779","layer":4},{"info":"compute binary expreesion, left_input=9007, right_input=5779, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6558","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=6558, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2920","layer":2},{"info":"number node, value=2661","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=2661, right_input=1419, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3733","layer":4},{"info":"compute unary expreesion, input=3733, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-548751","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-548751, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2920, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1221020⪨≂⫏≰11001110)⨽(⫏≰1211102≣⋋)⊉≛↸(⫏≰21211011≧⫂∧⫏≰12201101)⪢(⫏≰21121101⩠))⋝⋈⪟((+⊝⨔⫏≰12202200)⪘⫢(⫏≰110100121⪨≂⫏≰21221001)⨽(⫏≰10122120≭⫏≰1221120)⪢(⪝⪂⫅⫏≰12010021))=NaN","reverse_text":"NaN=((⫏≰1221020⪨≂⫏≰11001110)⨽(⫏≰1211102≣⋋)⊉≛↸(⫏≰21211011≧⫂∧⫏≰12201101)⪢(⫏≰21121101⩠))⋝⋈⪟((+⊝⨔⫏≰12202200)⪘⫢(⫏≰110100121⪨≂⫏≰21221001)⨽(⫏≰10122120≭⫏≰1221120)⪢(⪝⪂⫅⫏≰12010021))","cot":[{"info":"⫏≰1221020⪨≂⫏≰11001110=⫏≰-11002200","layer":3},{"info":"⫏≰1211102≣⋋=⫏≰0","layer":3},{"info":"⫏≰-11002200⨽⫏≰0=⫏≰-1212101201112100","layer":2},{"info":"⫏≰21211011≧⫂∧⫏≰12201101=⫏≰12001212","layer":3},{"info":"⫏≰21121101⩠=⫏≰0","layer":3},{"info":"⫏≰12001212⪢⫏≰0=⫏≰0","layer":2},{"info":"⫏≰-1212101201112100⊉≛↸⫏≰0=⫏≰0","layer":1},{"info":"+⊝⨔⫏≰12202200=⫏≰2002101","layer":3},{"info":"⫏≰110100121⪨≂⫏≰21221001=⫏≰22222220","layer":3},{"info":"⫏≰2002101⪘⫢⫏≰22222220=⫏≰11000011","layer":2},{"info":"⫏≰10122120≭⫏≰1221120=NaN","layer":3},{"info":"⪝⪂⫅⫏≰12010021=⫏≰-1000212202010","layer":3},{"info":"NaN⪢⫏≰-1000212202010=NaN","layer":2},{"info":"⫏≰11000011⨽NaN=NaN","layer":1},{"info":"⫏≰0⋝⋈⪟NaN=NaN","layer":0}]}
{"id":940,"expression_no_base_symbol":"(⋗⩬⋾$3332$∼$3332$⋳⪒($5769$⨽$2108$))⨟⋌⩍(($1579$⨵⪆$1574$)≧⫂∧($1824$⫡⨏$2343$)≎⊠⪸(⨈⫕$3721$)⪢($7336$⨪↰⇹$1371$))","expression":"(⋗⩬⋾⫏≰11120102∼⫏≰11120102⋳⪒(⫏≰21220200⨽⫏≰2220002))⨟⋌⩍((⫏≰2011111⨵⪆⫏≰2011022)≧⫂∧(⫏≰2111120⫡⨏⫏≰10012210)≎⊠⪸(⨈⫕⫏≰12002211)⪢(⫏≰101001201⨪↰⇹⫏≰1212210))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21203,"operation_count":12,"complexity_ratio":1766.9166666666667,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3332,"base":3},"right_expr":{"type":"numeric_atoms","value":3332,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5769,"base":3},"right_expr":{"type":"numeric_atoms","value":2108,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1579,"base":3},"right_expr":{"type":"numeric_atoms","value":1574,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1824,"base":3},"right_expr":{"type":"numeric_atoms","value":2343,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3721,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7336,"base":3},"right_expr":{"type":"numeric_atoms","value":1371,"base":3}}}}},"used_operators":["rGHVDoGpnC","DpFCA1CohY","12rbrZMWeM","DyGG3AbaNP","8HhzD0ZcuI","bJkvcejdHO","Ph9nP6C5qx","2DQ55sFlQl","QMFrweE19q","dWAJyo7jo9","megm06wKyl","tmPS8pqC7x"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3332","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=3332, right_input=3332, 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=5769","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=5769, right_input=2108, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-99849093","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-99849093, 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 = 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=1579","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1579, right_input=1574, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1824","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=2343, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14589","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=14589, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=14116","layer":2},{"info":"number node, value=3721","layer":4},{"info":"compute unary expreesion, input=3721, 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=7336","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=7336, right_input=1371, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7336","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=7336, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=14116, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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":3,"result_base":3,"text":"(⋗⩬⋾⫏≰11120102∼⫏≰11120102⋳⪒(⫏≰21220200⨽⫏≰2220002))⨟⋌⩍((⫏≰2011111⨵⪆⫏≰2011022)≧⫂∧(⫏≰2111120⫡⨏⫏≰10012210)≎⊠⪸(⨈⫕⫏≰12002211)⪢(⫏≰101001201⨪↰⇹⫏≰1212210))=NaN","reverse_text":"NaN=(⋗⩬⋾⫏≰11120102∼⫏≰11120102⋳⪒(⫏≰21220200⨽⫏≰2220002))⨟⋌⩍((⫏≰2011111⨵⪆⫏≰2011022)≧⫂∧(⫏≰2111120⫡⨏⫏≰10012210)≎⊠⪸(⨈⫕⫏≰12002211)⪢(⫏≰101001201⨪↰⇹⫏≰1212210))","cot":[{"info":"⫏≰11120102∼⫏≰11120102=NaN","layer":3},{"info":"⫏≰21220200⨽⫏≰2220002=⫏≰-20221212212012120","layer":3},{"info":"NaN⋳⪒⫏≰-20221212212012120=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⫏≰2011111⨵⪆⫏≰2011022=⫏≰12221","layer":3},{"info":"⫏≰2111120⫡⨏⫏≰10012210=⫏≰202000100","layer":3},{"info":"⫏≰12221≧⫂∧⫏≰202000100=⫏≰201100211","layer":2},{"info":"⨈⫕⫏≰12002211=⫏≰-210","layer":3},{"info":"⫏≰101001201⨪↰⇹⫏≰1212210=⫏≰101001201","layer":3},{"info":"⫏≰-210⪢⫏≰101001201=NaN","layer":2},{"info":"⫏≰201100211≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"NaN⨟⋌⩍⫏≰2111=NaN","layer":0}]}
{"id":941,"expression_no_base_symbol":"($1414$*$9018$⨸⪁(⨈⫕$1936$))⨰($1653$+⇶⊼$5536$)⪢($3341$⨸⪁$1467$)⩨(+⊝⨔($1023$⨓$1595$≭(⨞⊢$3378$)))","expression":"(⫏≰1221101*⫏≰110101000⨸⪁(⨈⫕⫏≰2122201))⨰(⫏≰2021020+⇶⊼⫏≰21121001)⪢(⫏≰11120202⨸⪁⫏≰2000100)⩨(+⊝⨔(⫏≰1101220⨓⫏≰2012002≭(⨞⊢⫏≰11122010)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13057,"operation_count":12,"complexity_ratio":1088.0833333333333,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1414,"base":3},"right_expr":{"type":"numeric_atoms","value":9018,"base":3}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1936,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1653,"base":3},"right_expr":{"type":"numeric_atoms","value":5536,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3341,"base":3},"right_expr":{"type":"numeric_atoms","value":1467,"base":3}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1023,"base":3},"right_expr":{"type":"numeric_atoms","value":1595,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3378,"base":3}}}}},"used_operators":["2DlMacCsIx","eewbuw0ToL","g55IO6H4Gj","9HNa5Wba9A","megm06wKyl","dWAJyo7jo9","TpPTUOHfaN","DhbWaqg5eL","rxpJgHHUmx","3ViojmjbAp","xUOZtlo3hN"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","k8jYdgA6NY","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1414","layer":4},{"info":"number node, value=9018","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=9018, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12751452","layer":3},{"info":"number node, value=1936","layer":4},{"info":"compute unary expreesion, input=1936, 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=12751452, right_input=-21, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=25502862","layer":2},{"info":"number node, value=1653","layer":4},{"info":"number node, value=5536","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=5536, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3341","layer":4},{"info":"number node, value=1467","layer":4},{"info":"compute binary expreesion, left_input=3341, right_input=1467, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9616","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9616, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=25502862, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1023","layer":4},{"info":"number node, value=1595","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=1595, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1598","layer":3},{"info":"number node, value=3378","layer":4},{"info":"compute unary expreesion, input=3378, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3552","layer":3},{"info":"compute binary expreesion, left_input=-1598, right_input=-3552, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1221101*⫏≰110101000⨸⪁(⨈⫕⫏≰2122201))⨰(⫏≰2021020+⇶⊼⫏≰21121001)⪢(⫏≰11120202⨸⪁⫏≰2000100)⩨(+⊝⨔(⫏≰1101220⨓⫏≰2012002≭(⨞⊢⫏≰11122010)))=NaN","reverse_text":"NaN=(⫏≰1221101*⫏≰110101000⨸⪁(⨈⫕⫏≰2122201))⨰(⫏≰2021020+⇶⊼⫏≰21121001)⪢(⫏≰11120202⨸⪁⫏≰2000100)⩨(+⊝⨔(⫏≰1101220⨓⫏≰2012002≭(⨞⊢⫏≰11122010)))","cot":[{"info":"⫏≰1221101*⫏≰110101000=⫏≰212222211201000","layer":3},{"info":"⨈⫕⫏≰2122201=⫏≰-210","layer":3},{"info":"⫏≰212222211201000⨸⪁⫏≰-210=⫏≰1202222200100110","layer":2},{"info":"⫏≰2021020+⇶⊼⫏≰21121001=NaN","layer":3},{"info":"⫏≰11120202⨸⪁⫏≰2000100=⫏≰111012011","layer":3},{"info":"NaN⪢⫏≰111012011=NaN","layer":2},{"info":"⫏≰1202222200100110⨰NaN=NaN","layer":1},{"info":"⫏≰1101220⨓⫏≰2012002=⫏≰-2012012","layer":3},{"info":"⨞⊢⫏≰11122010=⫏≰-11212120","layer":3},{"info":"⫏≰-2012012≭⫏≰-11212120=NaN","layer":2},{"info":"+⊝⨔NaN=⫏≰2002101","layer":1},{"info":"NaN⩨⫏≰2002101=NaN","layer":0}]}
{"id":942,"expression_no_base_symbol":"($6466$⇼⇔∾$3856$)⨪↰⇹($6033$⪐)≧⫂∧(($1100$⊦⊿)⋝⋈⪟(⨵≀≌$3477$))*(($2831$∲⫓$7269$)⪄$6374$+⇶⊼$3427$)⨓($2219$⨓$6144$+⇶⊼$4014$∼$5633$)","expression":"(⫏≰22212111⇼⇔∾⫏≰12021211)⨪↰⇹(⫏≰22021110⪐)≧⫂∧((⫏≰1111202⊦⊿)⋝⋈⪟(⨵≀≌⫏≰11202210))*((⫏≰10212212∲⫓⫏≰100222020)⪄⫏≰22202002+⇶⊼⫏≰11200221)⨓(⫏≰10001012⨓⫏≰22102120+⇶⊼⫏≰12111200∼⫏≰21201122)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8893,"operation_count":15,"complexity_ratio":592.8666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6466,"base":3},"right_expr":{"type":"numeric_atoms","value":3856,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":6033,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1100,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3477,"base":3}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2831,"base":3},"right_expr":{"type":"numeric_atoms","value":7269,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6374,"base":3},"right_expr":{"type":"numeric_atoms","value":3427,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2219,"base":3},"right_expr":{"type":"numeric_atoms","value":6144,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4014,"base":3},"right_expr":{"type":"numeric_atoms","value":5633,"base":3}}}}},"used_operators":["9HNa5Wba9A","Ph9nP6C5qx","tmPS8pqC7x","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","14qkJME0vr","srAu1WTS94","3ViojmjbAp","SUmda5xLS4","i8ToyICDmI","TpPTUOHfaN","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6466","layer":4},{"info":"number node, value=3856","layer":4},{"info":"compute binary expreesion, left_input=6466, right_input=3856, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2610","layer":3},{"info":"number node, value=6033","layer":4},{"info":"compute unary expreesion, input=6033, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=12066","layer":3},{"info":"compute binary expreesion, left_input=-2610, right_input=12066, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-2610","layer":2},{"info":"number node, value=1100","layer":4},{"info":"compute unary expreesion, input=1100, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3379","layer":3},{"info":"number node, value=3477","layer":4},{"info":"compute unary expreesion, input=3477, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10431","layer":3},{"info":"compute binary expreesion, left_input=-3379, right_input=-10431, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-3379","layer":2},{"info":"compute binary expreesion, left_input=-2610, right_input=-3379, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=769","layer":1},{"info":"number node, value=2831","layer":4},{"info":"number node, value=7269","layer":4},{"info":"compute binary expreesion, left_input=2831, right_input=7269, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6374","layer":4},{"info":"number node, value=3427","layer":4},{"info":"compute binary expreesion, left_input=6374, right_input=3427, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=2219","layer":4},{"info":"number node, value=6144","layer":4},{"info":"compute binary expreesion, left_input=2219, right_input=6144, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6147","layer":3},{"info":"number node, value=4014","layer":4},{"info":"number node, value=5633","layer":4},{"info":"compute binary expreesion, left_input=4014, right_input=5633, 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=-6147, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=769, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰22212111⇼⇔∾⫏≰12021211)⨪↰⇹(⫏≰22021110⪐)≧⫂∧((⫏≰1111202⊦⊿)⋝⋈⪟(⨵≀≌⫏≰11202210))*((⫏≰10212212∲⫓⫏≰100222020)⪄⫏≰22202002+⇶⊼⫏≰11200221)⨓(⫏≰10001012⨓⫏≰22102120+⇶⊼⫏≰12111200∼⫏≰21201122)=NaN","reverse_text":"NaN=(⫏≰22212111⇼⇔∾⫏≰12021211)⨪↰⇹(⫏≰22021110⪐)≧⫂∧((⫏≰1111202⊦⊿)⋝⋈⪟(⨵≀≌⫏≰11202210))*((⫏≰10212212∲⫓⫏≰100222020)⪄⫏≰22202002+⇶⊼⫏≰11200221)⨓(⫏≰10001012⨓⫏≰22102120+⇶⊼⫏≰12111200∼⫏≰21201122)","cot":[{"info":"⫏≰22212111⇼⇔∾⫏≰12021211=⫏≰-10120200","layer":3},{"info":"⫏≰22021110⪐=⫏≰121112220","layer":3},{"info":"⫏≰-10120200⨪↰⇹⫏≰121112220=⫏≰-10120200","layer":2},{"info":"⫏≰1111202⊦⊿=⫏≰-11122011","layer":3},{"info":"⨵≀≌⫏≰11202210=⫏≰-112022100","layer":3},{"info":"⫏≰-11122011⋝⋈⪟⫏≰-112022100=⫏≰-11122011","layer":2},{"info":"⫏≰-10120200≧⫂∧⫏≰-11122011=⫏≰1001111","layer":1},{"info":"⫏≰10212212∲⫓⫏≰100222020=⫏≰0","layer":3},{"info":"⫏≰22202002+⇶⊼⫏≰11200221=NaN","layer":3},{"info":"⫏≰0⪄NaN=NaN","layer":2},{"info":"⫏≰10001012⨓⫏≰22102120=⫏≰-22102200","layer":3},{"info":"⫏≰12111200∼⫏≰21201122=NaN","layer":3},{"info":"⫏≰-22102200+⇶⊼NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⫏≰1001111*NaN=NaN","layer":0}]}
{"id":943,"expression_no_base_symbol":"(⨵≀≌($1684$⋥≓≎$1754$)⨎($1021$⨽$1435$))⨪↰⇹(($2679$⫡⨏$2857$)⨟⋌⩍($1142$↙$1985$)⋓($3540$⪢$4021$⨳⩥⨓($2420$↛⩡⫤)))","expression":"(⨵≀≌(⫏≰2022101⋥≓≎⫏≰2101222)⨎(⫏≰1101211⨽⫏≰1222011))⨪↰⇹((⫏≰10200020⫡⨏⫏≰10220211)⨟⋌⩍(⫏≰1120022↙⫏≰2201112)⋓(⫏≰11212010⪢⫏≰12111221⨳⩥⨓(⫏≰10022122↛⩡⫤)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3144782,"operation_count":12,"complexity_ratio":262065.16666666666,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1684,"base":3},"right_expr":{"type":"numeric_atoms","value":1754,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1021,"base":3},"right_expr":{"type":"numeric_atoms","value":1435,"base":3}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2679,"base":3},"right_expr":{"type":"numeric_atoms","value":2857,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1142,"base":3},"right_expr":{"type":"numeric_atoms","value":1985,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3540,"base":3},"right_expr":{"type":"numeric_atoms","value":4021,"base":3}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2420,"base":3}}}}},"used_operators":["tmPS8pqC7x","srAu1WTS94","rJVOvQCfKK","Qy55tPpLXF","8HhzD0ZcuI","T2fj7uvVaJ","rGHVDoGpnC","QMFrweE19q","yyfyN0ffXY","nCS4ZIUYfx","dWAJyo7jo9","FU0Cs4j7VP"],"dependent_operators":["rJVOvQCfKK","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1684","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=1754, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1857","layer":3},{"info":"number node, value=1021","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1435, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3130314","layer":3},{"info":"compute binary expreesion, left_input=1857, right_input=-3130314, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3130314","layer":2},{"info":"compute unary expreesion, input=-3130314, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":1},{"info":"number node, value=2679","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=2857, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19892","layer":3},{"info":"number node, value=1142","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=1985, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5955","layer":3},{"info":"compute binary expreesion, left_input=19892, right_input=-5955, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=3540","layer":4},{"info":"number node, value=4021","layer":4},{"info":"compute binary expreesion, left_input=3540, right_input=4021, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2420","layer":4},{"info":"compute unary expreesion, input=2420, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-361509","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-361509, 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 = T2fj7uvVaJ 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=inf, 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":3,"result_base":3,"text":"(⨵≀≌(⫏≰2022101⋥≓≎⫏≰2101222)⨎(⫏≰1101211⨽⫏≰1222011))⨪↰⇹((⫏≰10200020⫡⨏⫏≰10220211)⨟⋌⩍(⫏≰1120022↙⫏≰2201112)⋓(⫏≰11212010⪢⫏≰12111221⨳⩥⨓(⫏≰10022122↛⩡⫤)))=NaN","reverse_text":"NaN=(⨵≀≌(⫏≰2022101⋥≓≎⫏≰2101222)⨎(⫏≰1101211⨽⫏≰1222011))⨪↰⇹((⫏≰10200020⫡⨏⫏≰10220211)⨟⋌⩍(⫏≰1120022↙⫏≰2201112)⋓(⫏≰11212010⪢⫏≰12111221⨳⩥⨓(⫏≰10022122↛⩡⫤)))","cot":[{"info":"⫏≰2022101⋥≓≎⫏≰2101222=⫏≰2112210","layer":3},{"info":"⫏≰1101211⨽⫏≰1222011=⫏≰-12220000222120","layer":3},{"info":"⫏≰2112210⨎⫏≰-12220000222120=⫏≰-12220000222120","layer":2},{"info":"⨵≀≌⫏≰-12220000222120=Inf","layer":1},{"info":"⫏≰10200020⫡⨏⫏≰10220211=⫏≰1000021202","layer":3},{"info":"⫏≰1120022↙⫏≰2201112=⫏≰-22011120","layer":3},{"info":"⫏≰1000021202⨟⋌⩍⫏≰-22011120=NaN","layer":2},{"info":"⫏≰11212010⪢⫏≰12111221=NaN","layer":3},{"info":"⫏≰10022122↛⩡⫤=⫏≰-200100220020","layer":3},{"info":"NaN⨳⩥⨓⫏≰-200100220020=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"Inf⨪↰⇹NaN=NaN","layer":0}]}
{"id":944,"expression_no_base_symbol":"((($6352$⩨$8397$)↺($2055$%$1590$))⨎($6852$⪮%⊝$1764$⨳⩥⨓($4489$%$1754$)))≫≃","expression":"(((⫏≰22201021⩨⫏≰102112000)↺(⫏≰2211010%⫏≰2011220))⨎(⫏≰100101210⪮%⊝⫏≰2102100⨳⩥⨓(⫏≰20011021%⫏≰2101222)))≫≃","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":29,"operation_count":8,"complexity_ratio":3.625,"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":6352,"base":3},"right_expr":{"type":"numeric_atoms","value":8397,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2055,"base":3},"right_expr":{"type":"numeric_atoms","value":1590,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6852,"base":3},"right_expr":{"type":"numeric_atoms","value":1764,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4489,"base":3},"right_expr":{"type":"numeric_atoms","value":1754,"base":3}}}}},"used_operators":["X99M06cbEe","rJVOvQCfKK","7j4O788W3g","2DlMacCsIx","k8jYdgA6NY","nCS4ZIUYfx","IWmyXbctLI"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫏≰-1020211222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6352","layer":4},{"info":"number node, value=8397","layer":4},{"info":"compute binary expreesion, left_input=6352, right_input=8397, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2055","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=1590, op_id = k8jYdgA6NY binary_op_definition= 'None', output=465","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=465, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=465","layer":2},{"info":"number node, value=6852","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=6852, right_input=1764, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14020","layer":3},{"info":"number node, value=4489","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=4489, right_input=1754, op_id = k8jYdgA6NY binary_op_definition= 'None', output=981","layer":3},{"info":"compute binary expreesion, left_input=14020, right_input=981, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-13039","layer":2},{"info":"compute binary expreesion, left_input=465, right_input=-13039, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-13039","layer":1},{"info":"compute unary expreesion, input=-13039, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-24677","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰22201021⩨⫏≰102112000)↺(⫏≰2211010%⫏≰2011220))⨎(⫏≰100101210⪮%⊝⫏≰2102100⨳⩥⨓(⫏≰20011021%⫏≰2101222)))≫≃=⫏≰-1020211222","reverse_text":"⫏≰-1020211222=(((⫏≰22201021⩨⫏≰102112000)↺(⫏≰2211010%⫏≰2011220))⨎(⫏≰100101210⪮%⊝⫏≰2102100⨳⩥⨓(⫏≰20011021%⫏≰2101222)))≫≃","cot":[{"info":"⫏≰22201021⩨⫏≰102112000=⫏≰-10","layer":3},{"info":"⫏≰2211010%⫏≰2011220=⫏≰122020","layer":3},{"info":"⫏≰-10↺⫏≰122020=⫏≰122020","layer":2},{"info":"⫏≰100101210⪮%⊝⫏≰2102100=⫏≰201020021","layer":3},{"info":"⫏≰20011021%⫏≰2101222=⫏≰1100100","layer":3},{"info":"⫏≰201020021⨳⩥⨓⫏≰1100100=⫏≰-122212221","layer":2},{"info":"⫏≰122020⨎⫏≰-122212221=⫏≰-122212221","layer":1},{"info":"⫏≰-122212221≫≃=⫏≰-1020211222","layer":0}]}
{"id":945,"expression_no_base_symbol":"(($4146$∧)↺($3758$⪐))⨟⋌⩍(($5190$⫥∨⫟$1491$)⋓(↔$4702$))∑⇟⊟(($4235$⇋≉)⨟⋌⩍$3604$⪮%⊝$2281$⩤)","expression":"((⫏≰12200120∧)↺(⫏≰12011012⪐))⨟⋌⩍((⫏≰21010020⫥∨⫟⫏≰2001020)⋓(↔⫏≰20110011))∑⇟⊟((⫏≰12210212⇋≉)⨟⋌⩍⫏≰11221111⪮%⊝⫏≰10010111⩤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":200,"operation_count":12,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4146,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3758,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5190,"base":3},"right_expr":{"type":"numeric_atoms","value":1491,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4702,"base":3}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4235,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3604,"base":3},"right_expr":{"type":"numeric_atoms","value":2281,"base":3}}}}},"used_operators":["U7g4x0WXJJ","rGHVDoGpnC","7j4O788W3g","z63VuFQld9","eH2TOUuTDT","T2fj7uvVaJ","KYD54nUTWz","ruOEQAzv1W","Z2TMIBDE3Q","XIabStNQrY","IWmyXbctLI"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4146","layer":4},{"info":"compute unary expreesion, input=4146, 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=3758","layer":4},{"info":"compute unary expreesion, input=3758, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7516","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7516, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7516","layer":2},{"info":"number node, value=5190","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=5190, right_input=1491, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4702","layer":4},{"info":"compute unary expreesion, input=4702, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4429","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4429, op_id = T2fj7uvVaJ 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=7516, 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=7516","layer":1},{"info":"number node, value=4235","layer":4},{"info":"compute unary expreesion, input=4235, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=8372","layer":3},{"info":"number node, value=3604","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=3604, right_input=2281, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7524","layer":3},{"info":"compute binary expreesion, left_input=8372, right_input=7524, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7516, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12200120∧)↺(⫏≰12011012⪐))⨟⋌⩍((⫏≰21010020⫥∨⫟⫏≰2001020)⋓(↔⫏≰20110011))∑⇟⊟((⫏≰12210212⇋≉)⨟⋌⩍⫏≰11221111⪮%⊝⫏≰10010111⩤)=NaN","reverse_text":"NaN=((⫏≰12200120∧)↺(⫏≰12011012⪐))⨟⋌⩍((⫏≰21010020⫥∨⫟⫏≰2001020)⋓(↔⫏≰20110011))∑⇟⊟((⫏≰12210212⇋≉)⨟⋌⩍⫏≰11221111⪮%⊝⫏≰10010111⩤)","cot":[{"info":"⫏≰12200120∧=NaN","layer":3},{"info":"⫏≰12011012⪐=⫏≰101022101","layer":3},{"info":"NaN↺⫏≰101022101=⫏≰101022101","layer":2},{"info":"⫏≰21010020⫥∨⫟⫏≰2001020=NaN","layer":3},{"info":"↔⫏≰20110011=⫏≰-20002001","layer":3},{"info":"NaN⋓⫏≰-20002001=⫏≰0","layer":2},{"info":"⫏≰101022101⨟⋌⩍⫏≰0=⫏≰101022101","layer":1},{"info":"⫏≰12210212⇋≉=⫏≰102111002","layer":3},{"info":"⫏≰11221111⪮%⊝⫏≰10010111=⫏≰101022200","layer":3},{"info":"⫏≰102111002⨟⋌⩍⫏≰101022200=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"⫏≰101022101∑⇟⊟NaN=NaN","layer":0}]}
{"id":946,"expression_no_base_symbol":"((⋗⩬⋾$2764$)⋝⋈⪟($2209$+$5053$)⩨$1237$⋝⋈⪟$1449$⨰($2005$⪄$1685$))⋓(↯⪼(-(∂$2365$)))","expression":"((⋗⩬⋾⫏≰10210101)⋝⋈⪟(⫏≰10000211+⫏≰20221011)⩨⫏≰1200211⋝⋈⪟⫏≰1222200⨰(⫏≰2202021⪄⫏≰2022102))⋓(↯⪼(-(∂⫏≰10020121)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":196,"operation_count":11,"complexity_ratio":17.818181818181817,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2764,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2209,"base":3},"right_expr":{"type":"numeric_atoms","value":5053,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1237,"base":3},"right_expr":{"type":"numeric_atoms","value":1449,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2005,"base":3},"right_expr":{"type":"numeric_atoms","value":1685,"base":3}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2365,"base":3}}}}},"used_operators":["T2fj7uvVaJ","2DlMacCsIx","2DDjHMKMc0","DpFCA1CohY","W4YGzv6Whe","eewbuw0ToL","SUmda5xLS4","8jW3W4yZS5","t8gj7n24qd","Uaa54Peajs"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2764","layer":4},{"info":"compute unary expreesion, input=2764, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8292","layer":3},{"info":"number node, value=2209","layer":4},{"info":"number node, value=5053","layer":4},{"info":"compute binary expreesion, left_input=2209, right_input=5053, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7262","layer":3},{"info":"compute binary expreesion, left_input=-8292, right_input=7262, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-8292","layer":2},{"info":"number node, value=1237","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=1449, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1237","layer":3},{"info":"number node, value=2005","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=2005, right_input=1685, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-299569","layer":3},{"info":"compute binary expreesion, left_input=1237, right_input=-299569, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=300816","layer":2},{"info":"compute binary expreesion, left_input=-8292, right_input=300816, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=111","layer":1},{"info":"number node, value=2365","layer":4},{"info":"compute unary expreesion, input=2365, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=111, right_input=-21, op_id = T2fj7uvVaJ 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":3,"result_base":3,"text":"((⋗⩬⋾⫏≰10210101)⋝⋈⪟(⫏≰10000211+⫏≰20221011)⩨⫏≰1200211⋝⋈⪟⫏≰1222200⨰(⫏≰2202021⪄⫏≰2022102))⋓(↯⪼(-(∂⫏≰10020121)))=⫏≰0","reverse_text":"⫏≰0=((⋗⩬⋾⫏≰10210101)⋝⋈⪟(⫏≰10000211+⫏≰20221011)⩨⫏≰1200211⋝⋈⪟⫏≰1222200⨰(⫏≰2202021⪄⫏≰2022102))⋓(↯⪼(-(∂⫏≰10020121)))","cot":[{"info":"⋗⩬⋾⫏≰10210101=⫏≰-102101010","layer":3},{"info":"⫏≰10000211+⫏≰20221011=⫏≰100221222","layer":3},{"info":"⫏≰-102101010⋝⋈⪟⫏≰100221222=⫏≰-102101010","layer":2},{"info":"⫏≰1200211⋝⋈⪟⫏≰1222200=⫏≰1200211","layer":3},{"info":"⫏≰2202021⪄⫏≰2022102=⫏≰-120012221011","layer":3},{"info":"⫏≰1200211⨰⫏≰-120012221011=⫏≰120021122100","layer":2},{"info":"⫏≰-102101010⩨⫏≰120021122100=⫏≰11010","layer":1},{"info":"∂⫏≰10020121=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"↯⪼NaN=⫏≰-210","layer":1},{"info":"⫏≰11010⋓⫏≰-210=⫏≰0","layer":0}]}
{"id":947,"expression_no_base_symbol":"($1330$⨰$2023$⩷∴$3572$⪘⫢$5412$*($3983$⊦⊿)⪛(+⊝⨔$2251$))↺((⇁⨣⪵$4304$⋳⪒$3861$)⊭↱($3967$⋳⪒$2919$⪒$3939$⋥≓≎$1086$))","expression":"(⫏≰1211021⨰⫏≰2202221⩷∴⫏≰11220022⪘⫢⫏≰21102110*(⫏≰12110112⊦⊿)⪛(+⊝⨔⫏≰10002101))↺((⇁⨣⪵⫏≰12220102⋳⪒⫏≰12022000)⊭↱(⫏≰12102221⋳⪒⫏≰11000010⪒⫏≰12101220⋥≓≎⫏≰1111020))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":261,"operation_count":14,"complexity_ratio":18.642857142857142,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1330,"base":3},"right_expr":{"type":"numeric_atoms","value":2023,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3572,"base":3},"right_expr":{"type":"numeric_atoms","value":5412,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3983,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2251,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4304,"base":3},"right_expr":{"type":"numeric_atoms","value":3861,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3967,"base":3},"right_expr":{"type":"numeric_atoms","value":2919,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3939,"base":3},"right_expr":{"type":"numeric_atoms","value":1086,"base":3}}}}},"used_operators":["7j4O788W3g","9HNa5Wba9A","9FxExcQeMw","eewbuw0ToL","oacrs7FA3X","uFcxV4UQCh","14qkJME0vr","DhbWaqg5eL","COABgblf1C","inkyxCbjAn","12rbrZMWeM","f6k1SAg4EE","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1330","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=2023, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-683","layer":3},{"info":"number node, value=3572","layer":4},{"info":"number node, value=5412","layer":4},{"info":"compute binary expreesion, left_input=3572, right_input=5412, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7020","layer":3},{"info":"compute binary expreesion, left_input=-683, right_input=7020, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-15438","layer":2},{"info":"number node, value=3983","layer":4},{"info":"compute unary expreesion, input=3983, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12028","layer":3},{"info":"number node, value=2251","layer":4},{"info":"compute unary expreesion, input=2251, 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=-12028, right_input=1522, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=148","layer":2},{"info":"compute binary expreesion, left_input=-15438, right_input=148, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-2284824","layer":1},{"info":"number node, value=4304","layer":4},{"info":"number node, value=3861","layer":4},{"info":"compute binary expreesion, left_input=4304, right_input=3861, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4460","layer":3},{"info":"compute unary expreesion, input=4460, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3967","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=3967, right_input=2919, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4728","layer":3},{"info":"number node, value=3939","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=3939, right_input=1086, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1734","layer":3},{"info":"compute binary expreesion, left_input=4728, right_input=-1734, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2994","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2994, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2284824, 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":3,"result_base":3,"text":"(⫏≰1211021⨰⫏≰2202221⩷∴⫏≰11220022⪘⫢⫏≰21102110*(⫏≰12110112⊦⊿)⪛(+⊝⨔⫏≰10002101))↺((⇁⨣⪵⫏≰12220102⋳⪒⫏≰12022000)⊭↱(⫏≰12102221⋳⪒⫏≰11000010⪒⫏≰12101220⋥≓≎⫏≰1111020))=NaN","reverse_text":"NaN=(⫏≰1211021⨰⫏≰2202221⩷∴⫏≰11220022⪘⫢⫏≰21102110*(⫏≰12110112⊦⊿)⪛(+⊝⨔⫏≰10002101))↺((⇁⨣⪵⫏≰12220102⋳⪒⫏≰12022000)⊭↱(⫏≰12102221⋳⪒⫏≰11000010⪒⫏≰12101220⋥≓≎⫏≰1111020))","cot":[{"info":"⫏≰1211021⨰⫏≰2202221=⫏≰-221022","layer":3},{"info":"⫏≰11220022⪘⫢⫏≰21102110=⫏≰100122000","layer":3},{"info":"⫏≰-221022⩷∴⫏≰100122000=⫏≰-210011210","layer":2},{"info":"⫏≰12110112⊦⊿=⫏≰-121111111","layer":3},{"info":"+⊝⨔⫏≰10002101=⫏≰2002101","layer":3},{"info":"⫏≰-121111111⪛⫏≰2002101=⫏≰12111","layer":2},{"info":"⫏≰-210011210*⫏≰12111=⫏≰-11022002012010","layer":1},{"info":"⫏≰12220102⋳⪒⫏≰12022000=⫏≰20010012","layer":3},{"info":"⇁⨣⪵⫏≰20010012=NaN","layer":2},{"info":"⫏≰12102221⋳⪒⫏≰11000010=⫏≰20111010","layer":3},{"info":"⫏≰12101220⋥≓≎⫏≰1111020=⫏≰-2101020","layer":3},{"info":"⫏≰20111010⪒⫏≰-2101020=⫏≰-11002220","layer":2},{"info":"NaN⊭↱⫏≰-11002220=NaN","layer":1},{"info":"⫏≰-11022002012010↺NaN=NaN","layer":0}]}
{"id":948,"expression_no_base_symbol":"((⨑⩽⪐(≤/$2031$))⊉≛↸($3332$⪐)⪘⫢($3414$↙$6725$))⋳⪒(⫓⪴($1317$⩠)⊴($3290$≎⊠⪸$3809$))","expression":"((⨑⩽⪐(≤/⫏≰2210020))⊉≛↸(⫏≰11120102⪐)⪘⫢(⫏≰11200110↙⫏≰100020002))⋳⪒(⫓⪴(⫏≰1210210⩠)⊴(⫏≰11111212≎⊠⪸⫏≰12020002))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":858688,"operation_count":11,"complexity_ratio":78062.54545454546,"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":2031,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3332,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3414,"base":3},"right_expr":{"type":"numeric_atoms","value":6725,"base":3}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1317,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3290,"base":3},"right_expr":{"type":"numeric_atoms","value":3809,"base":3}}}}},"used_operators":["12rbrZMWeM","DZ8iAZOCBD","AF7qkfDlqP","eLAdDNolq6","oacrs7FA3X","eH2TOUuTDT","yyfyN0ffXY","eLxqMNBOBk","Nsiff2A1zJ","sJAwomhLZr","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2031","layer":4},{"info":"compute unary expreesion, input=2031, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1547","layer":3},{"info":"compute unary expreesion, input=-1547, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=3883","layer":2},{"info":"number node, value=3332","layer":4},{"info":"compute unary expreesion, input=3332, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6664","layer":3},{"info":"number node, value=3414","layer":4},{"info":"number node, value=6725","layer":4},{"info":"compute binary expreesion, left_input=3414, right_input=6725, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20175","layer":3},{"info":"compute binary expreesion, left_input=6664, right_input=-20175, 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=3883, right_input=-1, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7766","layer":1},{"info":"number node, value=1317","layer":4},{"info":"compute unary expreesion, input=1317, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=3290","layer":4},{"info":"number node, value=3809","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=3809, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=851637","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=851637, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7766, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨑⩽⪐(≤/⫏≰2210020))⊉≛↸(⫏≰11120102⪐)⪘⫢(⫏≰11200110↙⫏≰100020002))⋳⪒(⫓⪴(⫏≰1210210⩠)⊴(⫏≰11111212≎⊠⪸⫏≰12020002))=NaN","reverse_text":"NaN=((⨑⩽⪐(≤/⫏≰2210020))⊉≛↸(⫏≰11120102⪐)⪘⫢(⫏≰11200110↙⫏≰100020002))⋳⪒(⫓⪴(⫏≰1210210⩠)⊴(⫏≰11111212≎⊠⪸⫏≰12020002))","cot":[{"info":"≤/⫏≰2210020=⫏≰-2010022","layer":3},{"info":"⨑⩽⪐⫏≰-2010022=⫏≰12022211","layer":2},{"info":"⫏≰11120102⪐=⫏≰100010211","layer":3},{"info":"⫏≰11200110↙⫏≰100020002=⫏≰-1000200020","layer":3},{"info":"⫏≰100010211⪘⫢⫏≰-1000200020=⫏≰-1","layer":2},{"info":"⫏≰12022211⊉≛↸⫏≰-1=⫏≰101122122","layer":1},{"info":"⫏≰1210210⩠=⫏≰0","layer":3},{"info":"⫏≰11111212≎⊠⪸⫏≰12020002=⫏≰1121021020010","layer":3},{"info":"⫏≰0⊴⫏≰1121021020010=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⫏≰101122122⋳⪒NaN=NaN","layer":0}]}
{"id":949,"expression_no_base_symbol":"⪝⪂⫅($4612$≹⇙⪍$1064$⩷∴(⊥$2368$)⨐⩸⫘($2331$≎⊠⪸$3410$)⪘⫢($3031$⨁⊸⫻))","expression":"⪝⪂⫅(⫏≰20022211≹⇙⪍⫏≰1110102⩷∴(⊥⫏≰10020201)⨐⩸⫘(⫏≰10012100≎⊠⪸⫏≰11200022)⪘⫢(⫏≰11011021⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":299,"operation_count":8,"complexity_ratio":37.375,"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":4612,"base":3},"right_expr":{"type":"numeric_atoms","value":1064,"base":3}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2368,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2331,"base":3},"right_expr":{"type":"numeric_atoms","value":3410,"base":3}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3031,"base":3}}}}},"used_operators":["XTarYq4gQB","fu6greOZ01","9FxExcQeMw","AHs5Up7iyr","Q3PJZHRvZv","oacrs7FA3X","bJkvcejdHO","glklzrTFfD"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","3ViojmjbAp","rysDP5nf3Z","dWAJyo7jo9","fu6greOZ01","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4612","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=4612, right_input=1064, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2368","layer":4},{"info":"compute unary expreesion, input=2368, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=2331","layer":4},{"info":"number node, value=3410","layer":4},{"info":"compute binary expreesion, left_input=2331, right_input=3410, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=603256","layer":3},{"info":"number node, value=3031","layer":4},{"info":"compute unary expreesion, input=3031, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3031","layer":3},{"info":"compute binary expreesion, left_input=603256, right_input=3031, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1206388","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1206388, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪝⪂⫅(⫏≰20022211≹⇙⪍⫏≰1110102⩷∴(⊥⫏≰10020201)⨐⩸⫘(⫏≰10012100≎⊠⪸⫏≰11200022)⪘⫢(⫏≰11011021⨁⊸⫻))=NaN","reverse_text":"NaN=⪝⪂⫅(⫏≰20022211≹⇙⪍⫏≰1110102⩷∴(⊥⫏≰10020201)⨐⩸⫘(⫏≰10012100≎⊠⪸⫏≰11200022)⪘⫢(⫏≰11011021⨁⊸⫻))","cot":[{"info":"⫏≰20022211≹⇙⪍⫏≰1110102=NaN","layer":3},{"info":"⊥⫏≰10020201=NaN","layer":3},{"info":"NaN⩷∴NaN=NaN","layer":2},{"info":"⫏≰10012100≎⊠⪸⫏≰11200022=⫏≰1010122111211","layer":3},{"info":"⫏≰11011021⨁⊸⫻=⫏≰11011021","layer":3},{"info":"⫏≰1010122111211⪘⫢⫏≰11011021=⫏≰2021021212001","layer":2},{"info":"NaN⨐⩸⫘⫏≰2021021212001=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":950,"expression_no_base_symbol":"↽≂(($1514$⪢$1045$⨵⪆$8841$⋥≓≎$2220$)⩤)","expression":"↽≂((⫏≰2002002⪢⫏≰1102201⨵⪆⫏≰110010110⋥≓≎⫏≰10001020)⩤)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2445,"operation_count":5,"complexity_ratio":489.0,"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":1514,"base":3},"right_expr":{"type":"numeric_atoms","value":1045,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":8841,"base":3},"right_expr":{"type":"numeric_atoms","value":2220,"base":3}}}}},"used_operators":["u6S6b8DprG","Z2TMIBDE3Q","2DQ55sFlQl","dWAJyo7jo9","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰102212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1514","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=1045, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=8841","layer":4},{"info":"number node, value=2220","layer":4},{"info":"compute binary expreesion, left_input=8841, right_input=2220, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4368","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4368, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-160","layer":1},{"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":0}],"base":3,"result_base":3,"text":"↽≂((⫏≰2002002⪢⫏≰1102201⨵⪆⫏≰110010110⋥≓≎⫏≰10001020)⩤)=⫏≰102212","reverse_text":"⫏≰102212=↽≂((⫏≰2002002⪢⫏≰1102201⨵⪆⫏≰110010110⋥≓≎⫏≰10001020)⩤)","cot":[{"info":"⫏≰2002002⪢⫏≰1102201=NaN","layer":3},{"info":"⫏≰110010110⋥≓≎⫏≰10001020=⫏≰-12222210","layer":3},{"info":"NaN⨵⪆⫏≰-12222210=⫏≰12221","layer":2},{"info":"⫏≰12221⩤=⫏≰-12221","layer":1},{"info":"↽≂⫏≰-12221=⫏≰102212","layer":0}]}
{"id":951,"expression_no_base_symbol":"((⊄⩳↩$2364$)⨳⩥⨓($2053$⪨≂$3011$))⨓(⇁⨣⪵$2859$)≹⇙⪍($1193$⩚⊴⇥$7870$)⋓(($4100$⩨$2150$⩨$4642$⨽$1861$)⪄($1643$⋓$3386$⨵⪆(↯⪼$3923$)))","expression":"((⊄⩳↩⫏≰10020120)⨳⩥⨓(⫏≰2211001⪨≂⫏≰11010112))⨓(⇁⨣⪵⫏≰10220220)≹⇙⪍(⫏≰1122012⩚⊴⇥⫏≰101210111)⋓((⫏≰12121212⩨⫏≰2221122⩨⫏≰20100221⨽⫏≰2112221)⪄(⫏≰2020212⋓⫏≰11122102⨵⪆(↯⪼⫏≰12101022)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4762,"operation_count":15,"complexity_ratio":317.46666666666664,"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":2364,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2053,"base":3},"right_expr":{"type":"numeric_atoms","value":3011,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2859,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1193,"base":3},"right_expr":{"type":"numeric_atoms","value":7870,"base":3}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4100,"base":3},"right_expr":{"type":"numeric_atoms","value":2150,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4642,"base":3},"right_expr":{"type":"numeric_atoms","value":1861,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1643,"base":3},"right_expr":{"type":"numeric_atoms","value":3386,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3923,"base":3}}}}},"used_operators":["T2fj7uvVaJ","3ViojmjbAp","nCS4ZIUYfx","8w2t5hMYqp","sdazOOVcIp","AHs5Up7iyr","inkyxCbjAn","NTOWxs364D","SUmda5xLS4","2DlMacCsIx","8HhzD0ZcuI","2DQ55sFlQl","8jW3W4yZS5"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2364","layer":4},{"info":"compute unary expreesion, input=2364, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7092","layer":3},{"info":"number node, value=2053","layer":4},{"info":"number node, value=3011","layer":4},{"info":"compute binary expreesion, left_input=2053, right_input=3011, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1814","layer":3},{"info":"compute binary expreesion, left_input=-7092, right_input=-1814, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5278","layer":2},{"info":"number node, value=2859","layer":4},{"info":"compute unary expreesion, input=2859, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1193","layer":4},{"info":"number node, value=7870","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=7870, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9184","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9184, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=5278, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=4100","layer":4},{"info":"number node, value=2150","layer":4},{"info":"compute binary expreesion, left_input=4100, right_input=2150, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4642","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=4642, right_input=1861, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-64648761","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-64648761, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1643","layer":4},{"info":"number node, value=3386","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=3386, op_id = T2fj7uvVaJ 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=3923","layer":4},{"info":"compute unary expreesion, input=3923, 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=0, right_input=-21, 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 = 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 = T2fj7uvVaJ 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":3,"result_base":3,"text":"((⊄⩳↩⫏≰10020120)⨳⩥⨓(⫏≰2211001⪨≂⫏≰11010112))⨓(⇁⨣⪵⫏≰10220220)≹⇙⪍(⫏≰1122012⩚⊴⇥⫏≰101210111)⋓((⫏≰12121212⩨⫏≰2221122⩨⫏≰20100221⨽⫏≰2112221)⪄(⫏≰2020212⋓⫏≰11122102⨵⪆(↯⪼⫏≰12101022)))=⫏≰0","reverse_text":"⫏≰0=((⊄⩳↩⫏≰10020120)⨳⩥⨓(⫏≰2211001⪨≂⫏≰11010112))⨓(⇁⨣⪵⫏≰10220220)≹⇙⪍(⫏≰1122012⩚⊴⇥⫏≰101210111)⋓((⫏≰12121212⩨⫏≰2221122⩨⫏≰20100221⨽⫏≰2112221)⪄(⫏≰2020212⋓⫏≰11122102⨵⪆(↯⪼⫏≰12101022)))","cot":[{"info":"⊄⩳↩⫏≰10020120=⫏≰-100201200","layer":3},{"info":"⫏≰2211001⪨≂⫏≰11010112=⫏≰-2111012","layer":3},{"info":"⫏≰-100201200⨳⩥⨓⫏≰-2111012=⫏≰21020111","layer":2},{"info":"⇁⨣⪵⫏≰10220220=NaN","layer":3},{"info":"⫏≰1122012⩚⊴⇥⫏≰101210111=⫏≰-110121011","layer":3},{"info":"NaN≹⇙⪍⫏≰-110121011=NaN","layer":2},{"info":"⫏≰21020111⨓NaN=NaN","layer":1},{"info":"⫏≰12121212⩨⫏≰2221122=⫏≰0","layer":3},{"info":"⫏≰20100221⨽⫏≰2112221=⫏≰-11111122111102120","layer":3},{"info":"⫏≰0⩨⫏≰-11111122111102120=NaN","layer":2},{"info":"⫏≰2020212⋓⫏≰11122102=⫏≰0","layer":3},{"info":"↯⪼⫏≰12101022=⫏≰-210","layer":3},{"info":"⫏≰0⨵⪆⫏≰-210=⫏≰12221","layer":2},{"info":"NaN⪄⫏≰12221=⫏≰12110101","layer":1},{"info":"NaN⋓⫏≰12110101=⫏≰0","layer":0}]}
{"id":952,"expression_no_base_symbol":"⨰⫟⨤(($4832$⩨$7738$)⨎($3392$⨽$1749$)⋥≓≎$4339$⋓$4293$⋝⋈⪟($2909$⫥∨⫟$1881$))","expression":"⨰⫟⨤((⫏≰20121222⩨⫏≰101121121)⨎(⫏≰11122122⨽⫏≰2101210)⋥≓≎⫏≰12221201⋓⫏≰12220000⋝⋈⪟(⫏≰10222202⫥∨⫟⫏≰2120200))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4470,"operation_count":8,"complexity_ratio":558.75,"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":4832,"base":3},"right_expr":{"type":"numeric_atoms","value":7738,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3392,"base":3},"right_expr":{"type":"numeric_atoms","value":1749,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4339,"base":3},"right_expr":{"type":"numeric_atoms","value":4293,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2909,"base":3},"right_expr":{"type":"numeric_atoms","value":1881,"base":3}}}}},"used_operators":["Tw270M8GLb","Qy55tPpLXF","rJVOvQCfKK","2DlMacCsIx","8HhzD0ZcuI","2DDjHMKMc0","T2fj7uvVaJ","KYD54nUTWz"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4832","layer":4},{"info":"number node, value=7738","layer":4},{"info":"compute binary expreesion, left_input=4832, right_input=7738, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=3392","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=3392, right_input=1749, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34520925","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-34520925, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-34520925","layer":2},{"info":"number node, value=4339","layer":4},{"info":"number node, value=4293","layer":4},{"info":"compute binary expreesion, left_input=4339, right_input=4293, op_id = T2fj7uvVaJ 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=2909","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=2909, right_input=1881, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-34520925, 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 unary expreesion, input=67, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤((⫏≰20121222⩨⫏≰101121121)⨎(⫏≰11122122⨽⫏≰2101210)⋥≓≎⫏≰12221201⋓⫏≰12220000⋝⋈⪟(⫏≰10222202⫥∨⫟⫏≰2120200))=NaN","reverse_text":"NaN=⨰⫟⨤((⫏≰20121222⩨⫏≰101121121)⨎(⫏≰11122122⨽⫏≰2101210)⋥≓≎⫏≰12221201⋓⫏≰12220000⋝⋈⪟(⫏≰10222202⫥∨⫟⫏≰2120200))","cot":[{"info":"⫏≰20121222⩨⫏≰101121121=⫏≰-10","layer":3},{"info":"⫏≰11122122⨽⫏≰2101210=⫏≰-2101221211210210","layer":3},{"info":"⫏≰-10⨎⫏≰-2101221211210210=⫏≰-2101221211210210","layer":2},{"info":"⫏≰12221201⋓⫏≰12220000=⫏≰0","layer":3},{"info":"⫏≰10222202⫥∨⫟⫏≰2120200=NaN","layer":3},{"info":"⫏≰0⋝⋈⪟NaN=NaN","layer":2},{"info":"⫏≰-2101221211210210⋥≓≎NaN=⫏≰2111","layer":1},{"info":"⨰⫟⨤⫏≰2111=NaN","layer":0}]}
{"id":953,"expression_no_base_symbol":"(⨵≀≌($2964$⇷$1004$⇼⇔∾$1132$+⇶⊼$1738$))⨓(⊙↵-(($1473$⨵⪆$1612$)⩚⊴⇥(⪝⪂⫅$3129$)))","expression":"(⨵≀≌(⫏≰11001210⇷⫏≰1101012⇼⇔∾⫏≰1112221+⇶⊼⫏≰2101101))⨓(⊙↵-((⫏≰2000120⨵⪆⫏≰2012201)⩚⊴⇥(⪝⪂⫅⫏≰11021220)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":501397,"operation_count":9,"complexity_ratio":55710.77777777778,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2964,"base":3},"right_expr":{"type":"numeric_atoms","value":1004,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1132,"base":3},"right_expr":{"type":"numeric_atoms","value":1738,"base":3}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1473,"base":3},"right_expr":{"type":"numeric_atoms","value":1612,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3129,"base":3}}}}},"used_operators":["3ViojmjbAp","srAu1WTS94","tifHPKVTfV","mp7IySMOzn","TpPTUOHfaN","oWn0xqSxBt","NTOWxs364D","2DQ55sFlQl","XTarYq4gQB"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫏≰-11","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2964","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=2964, right_input=1004, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2008","layer":3},{"info":"number node, value=1132","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=1738, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2008, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"number node, value=1473","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=1612, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3129","layer":4},{"info":"compute unary expreesion, input=3129, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-459963","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-459963, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=459682","layer":2},{"info":"compute unary expreesion, input=459682, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4","layer":0}],"base":3,"result_base":3,"text":"(⨵≀≌(⫏≰11001210⇷⫏≰1101012⇼⇔∾⫏≰1112221+⇶⊼⫏≰2101101))⨓(⊙↵-((⫏≰2000120⨵⪆⫏≰2012201)⩚⊴⇥(⪝⪂⫅⫏≰11021220)))=⫏≰-11","reverse_text":"⫏≰-11=(⨵≀≌(⫏≰11001210⇷⫏≰1101012⇼⇔∾⫏≰1112221+⇶⊼⫏≰2101101))⨓(⊙↵-((⫏≰2000120⨵⪆⫏≰2012201)⩚⊴⇥(⪝⪂⫅⫏≰11021220)))","cot":[{"info":"⫏≰11001210⇷⫏≰1101012=⫏≰2202101","layer":3},{"info":"⫏≰1112221+⇶⊼⫏≰2101101=NaN","layer":3},{"info":"⫏≰2202101⇼⇔∾NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⫏≰2000120⨵⪆⫏≰2012201=⫏≰12221","layer":3},{"info":"⪝⪂⫅⫏≰11021220=⫏≰-212100221200","layer":3},{"info":"⫏≰12221⩚⊴⇥⫏≰-212100221200=⫏≰212100120021","layer":2},{"info":"⊙↵-⫏≰212100120021=⫏≰-1","layer":1},{"info":"NaN⨓⫏≰-1=⫏≰-11","layer":0}]}
{"id":954,"expression_no_base_symbol":"((($2114$⪠⩆⊳)⊭↱$7306$⋥≓≎$1379$)⨐⩸⫘(($2867$%$1142$)-($2396$/$3874$)))⋳⪒(($5910$⊉≛↸$1015$)≎⊠⪸($2462$≎⊠⪸$1430$)≋⫹)","expression":"(((⫏≰2220022⪠⩆⊳)⊭↱⫏≰101000121⋥≓≎⫏≰1220002)⨐⩸⫘((⫏≰10221012%⫏≰1120022)-(⫏≰10021202/⫏≰12022111)))⋳⪒((⫏≰22002220⊉≛↸⫏≰1101121)≎⊠⪸(⫏≰10101012≎⊠⪸⫏≰1221222)≋⫹)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":343959,"operation_count":12,"complexity_ratio":28663.25,"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":2114,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7306,"base":3},"right_expr":{"type":"numeric_atoms","value":1379,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2867,"base":3},"right_expr":{"type":"numeric_atoms","value":1142,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2396,"base":3},"right_expr":{"type":"numeric_atoms","value":3874,"base":3}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5910,"base":3},"right_expr":{"type":"numeric_atoms","value":1015,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2462,"base":3},"right_expr":{"type":"numeric_atoms","value":1430,"base":3}}}}},"used_operators":["12rbrZMWeM","fu6greOZ01","COABgblf1C","JLbD19bQDL","Qy55tPpLXF","rysDP5nf3Z","k8jYdgA6NY","XhwjNDsVaA","N41Kp7NANJ","bJkvcejdHO","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰102111221112211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2114","layer":4},{"info":"compute unary expreesion, input=2114, 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=7306","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=7306, right_input=1379, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4515","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4515, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9025","layer":2},{"info":"number node, value=2867","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=2867, right_input=1142, op_id = k8jYdgA6NY binary_op_definition= 'None', output=583","layer":3},{"info":"number node, value=2396","layer":4},{"info":"number node, value=3874","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=3874, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=583, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=583","layer":2},{"info":"compute binary expreesion, left_input=-9025, right_input=583, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-586","layer":1},{"info":"number node, value=5910","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=5910, right_input=1015, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11820","layer":3},{"info":"number node, value=2462","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=2462, right_input=1430, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=637185","layer":3},{"info":"compute binary expreesion, left_input=11820, right_input=637185, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3060907","layer":2},{"info":"compute unary expreesion, input=3060907, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6121814","layer":1},{"info":"compute binary expreesion, left_input=-586, right_input=-6121814, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6120355","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2220022⪠⩆⊳)⊭↱⫏≰101000121⋥≓≎⫏≰1220002)⨐⩸⫘((⫏≰10221012%⫏≰1120022)-(⫏≰10021202/⫏≰12022111)))⋳⪒((⫏≰22002220⊉≛↸⫏≰1101121)≎⊠⪸(⫏≰10101012≎⊠⪸⫏≰1221222)≋⫹)=⫏≰102111221112211","reverse_text":"⫏≰102111221112211=(((⫏≰2220022⪠⩆⊳)⊭↱⫏≰101000121⋥≓≎⫏≰1220002)⨐⩸⫘((⫏≰10221012%⫏≰1120022)-(⫏≰10021202/⫏≰12022111)))⋳⪒((⫏≰22002220⊉≛↸⫏≰1101121)≎⊠⪸(⫏≰10101012≎⊠⪸⫏≰1221222)≋⫹)","cot":[{"info":"⫏≰2220022⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰101000121⋥≓≎⫏≰1220002=⫏≰-20012020","layer":3},{"info":"⫏≰0⊭↱⫏≰-20012020=⫏≰-110101021","layer":2},{"info":"⫏≰10221012%⫏≰1120022=⫏≰210121","layer":3},{"info":"⫏≰10021202/⫏≰12022111=⫏≰0","layer":3},{"info":"⫏≰210121-⫏≰0=⫏≰210121","layer":2},{"info":"⫏≰-110101021⨐⩸⫘⫏≰210121=⫏≰-210201","layer":1},{"info":"⫏≰22002220⊉≛↸⫏≰1101121=⫏≰121012210","layer":3},{"info":"⫏≰10101012≎⊠⪸⫏≰1221222=⫏≰1012101001110","layer":3},{"info":"⫏≰121012210≎⊠⪸⫏≰1012101001110=⫏≰12202111202221","layer":2},{"info":"⫏≰12202111202221≋⫹=⫏≰-102112000112212","layer":1},{"info":"⫏≰-210201⋳⪒⫏≰-102112000112212=⫏≰102111221112211","layer":0}]}
{"id":955,"expression_no_base_symbol":"(($1297$%$2526$)+⇶⊼(⪲⇎$1853$))∑⇟⊟(($9378$⫥∨⫟$5445$)⨓(≤/$1449$))⋝⋈⪟(($2456$∼$1009$*$8876$⪘⫢$4462$)⨰($2691$⪘⫢$1555$)↬($2698$⩚⊴⇥$4885$))","expression":"((⫏≰1210001%⫏≰10110120)+⇶⊼(⪲⇎⫏≰2112122))∑⇟⊟((⫏≰110212100⫥∨⫟⫏≰21110200)⨓(≤/⫏≰1222200))⋝⋈⪟((⫏≰10100222∼⫏≰1101101*⫏≰110011202⪘⫢⫏≰20010021)⨰(⫏≰10200200⪘⫢⫏≰2010121)↬(⫏≰10200221⩚⊴⇥⫏≰20200221))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":938248,"operation_count":15,"complexity_ratio":62549.86666666667,"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":1297,"base":3},"right_expr":{"type":"numeric_atoms","value":2526,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1853,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":9378,"base":3},"right_expr":{"type":"numeric_atoms","value":5445,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1449,"base":3}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2456,"base":3},"right_expr":{"type":"numeric_atoms","value":1009,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8876,"base":3},"right_expr":{"type":"numeric_atoms","value":4462,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2691,"base":3},"right_expr":{"type":"numeric_atoms","value":1555,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2698,"base":3},"right_expr":{"type":"numeric_atoms","value":4885,"base":3}}}}},"used_operators":["2DDjHMKMc0","U7g4x0WXJJ","TpPTUOHfaN","k8jYdgA6NY","XPYlsWDdGa","3ViojmjbAp","KYD54nUTWz","eLAdDNolq6","eewbuw0ToL","9HNa5Wba9A","DyGG3AbaNP","oacrs7FA3X","B5M0gjZbta","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1297","layer":4},{"info":"number node, value=2526","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=2526, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1297","layer":3},{"info":"number node, value=1853","layer":4},{"info":"compute unary expreesion, input=1853, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3706","layer":3},{"info":"compute binary expreesion, left_input=1297, right_input=3706, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=9378","layer":4},{"info":"number node, value=5445","layer":4},{"info":"compute binary expreesion, left_input=9378, right_input=5445, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1449","layer":4},{"info":"compute unary expreesion, input=1449, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-965","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-965, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-968, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2456","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=2456, right_input=1009, 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=8876","layer":4},{"info":"number node, value=4462","layer":4},{"info":"compute binary expreesion, left_input=8876, right_input=4462, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=17628","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17628, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2691","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=1555, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5258","layer":3},{"info":"number node, value=2698","layer":4},{"info":"number node, value=4885","layer":4},{"info":"compute binary expreesion, left_input=2698, right_input=4885, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7704","layer":3},{"info":"compute binary expreesion, left_input=5258, right_input=-7704, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1210001%⫏≰10110120)+⇶⊼(⪲⇎⫏≰2112122))∑⇟⊟((⫏≰110212100⫥∨⫟⫏≰21110200)⨓(≤/⫏≰1222200))⋝⋈⪟((⫏≰10100222∼⫏≰1101101*⫏≰110011202⪘⫢⫏≰20010021)⨰(⫏≰10200200⪘⫢⫏≰2010121)↬(⫏≰10200221⩚⊴⇥⫏≰20200221))=NaN","reverse_text":"NaN=((⫏≰1210001%⫏≰10110120)+⇶⊼(⪲⇎⫏≰2112122))∑⇟⊟((⫏≰110212100⫥∨⫟⫏≰21110200)⨓(≤/⫏≰1222200))⋝⋈⪟((⫏≰10100222∼⫏≰1101101*⫏≰110011202⪘⫢⫏≰20010021)⨰(⫏≰10200200⪘⫢⫏≰2010121)↬(⫏≰10200221⩚⊴⇥⫏≰20200221))","cot":[{"info":"⫏≰1210001%⫏≰10110120=⫏≰1210001","layer":3},{"info":"⪲⇎⫏≰2112122=⫏≰12002021","layer":3},{"info":"⫏≰1210001+⇶⊼⫏≰12002021=NaN","layer":2},{"info":"⫏≰110212100⫥∨⫟⫏≰21110200=NaN","layer":3},{"info":"≤/⫏≰1222200=⫏≰-1022202","layer":3},{"info":"NaN⨓⫏≰-1022202=⫏≰-1022212","layer":2},{"info":"NaN∑⇟⊟⫏≰-1022212=NaN","layer":1},{"info":"⫏≰10100222∼⫏≰1101101=NaN","layer":3},{"info":"⫏≰110011202⪘⫢⫏≰20010021=⫏≰220011220","layer":3},{"info":"NaN*⫏≰220011220=NaN","layer":2},{"info":"⫏≰10200200⪘⫢⫏≰2010121=⫏≰21012202","layer":3},{"info":"⫏≰10200221⩚⊴⇥⫏≰20200221=⫏≰-101120100","layer":3},{"info":"⫏≰21012202↬⫏≰-101120100=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":956,"expression_no_base_symbol":"⇁⨣⪵(⨈⫕($1272$≎⊠⪸$2593$)⋓($2675$⪨≂$4128$))","expression":"⇁⨣⪵(⨈⫕(⫏≰1202010≎⊠⪸⫏≰10120001)⋓(⫏≰10200002⪨≂⫏≰12122220))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":798,"operation_count":5,"complexity_ratio":159.6,"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":1272,"base":3},"right_expr":{"type":"numeric_atoms","value":2593,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2675,"base":3},"right_expr":{"type":"numeric_atoms","value":4128,"base":3}}}}},"used_operators":["inkyxCbjAn","megm06wKyl","T2fj7uvVaJ","bJkvcejdHO","sdazOOVcIp"],"dependent_operators":["B5M0gjZbta","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1272","layer":4},{"info":"number node, value=2593","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2593, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=328975","layer":3},{"info":"number node, value=2675","layer":4},{"info":"number node, value=4128","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=4128, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2804","layer":3},{"info":"compute binary expreesion, left_input=328975, 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":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 unary expreesion, input=-21, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⇁⨣⪵(⨈⫕(⫏≰1202010≎⊠⪸⫏≰10120001)⋓(⫏≰10200002⪨≂⫏≰12122220))=⫏≰0","reverse_text":"⫏≰0=⇁⨣⪵(⨈⫕(⫏≰1202010≎⊠⪸⫏≰10120001)⋓(⫏≰10200002⪨≂⫏≰12122220))","cot":[{"info":"⫏≰1202010≎⊠⪸⫏≰10120001=⫏≰121201021021","layer":3},{"info":"⫏≰10200002⪨≂⫏≰12122220=⫏≰-10211212","layer":3},{"info":"⫏≰121201021021⋓⫏≰-10211212=⫏≰0","layer":2},{"info":"⨈⫕⫏≰0=⫏≰-210","layer":1},{"info":"⇁⨣⪵⫏≰-210=⫏≰0","layer":0}]}
{"id":957,"expression_no_base_symbol":"≦∁(⨵≀≌($7746$⋫))-($1479$∧)⊭↱(≤/$3797$)","expression":"≦∁(⨵≀≌(⫏≰101121220⋫))-(⫏≰2000210∧)⊭↱(≤/⫏≰12012122)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7764,"operation_count":7,"complexity_ratio":1109.142857142857,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":7746,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1479,"base":3}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3797,"base":3}}}}},"used_operators":["9ICcGScMcE","rysDP5nf3Z","srAu1WTS94","JL8yIekQnl","COABgblf1C","z63VuFQld9","eLAdDNolq6"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7746","layer":4},{"info":"compute unary expreesion, input=7746, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7746","layer":3},{"info":"compute unary expreesion, input=7746, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-23238","layer":2},{"info":"number node, value=1479","layer":4},{"info":"compute unary expreesion, input=1479, 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=3797","layer":4},{"info":"compute unary expreesion, input=3797, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3313","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3313, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-23238, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', 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":3,"result_base":3,"text":"≦∁(⨵≀≌(⫏≰101121220⋫))-(⫏≰2000210∧)⊭↱(≤/⫏≰12012122)=NaN","reverse_text":"NaN=≦∁(⨵≀≌(⫏≰101121220⋫))-(⫏≰2000210∧)⊭↱(≤/⫏≰12012122)","cot":[{"info":"⫏≰101121220⋫=⫏≰101121220","layer":3},{"info":"⨵≀≌⫏≰101121220=⫏≰-1011212200","layer":2},{"info":"⫏≰2000210∧=NaN","layer":3},{"info":"≤/⫏≰12012122=⫏≰-11112201","layer":3},{"info":"NaN⊭↱⫏≰-11112201=NaN","layer":2},{"info":"⫏≰-1011212200-NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":958,"expression_no_base_symbol":"((⨵≀≌$3101$)≭$2707$⪢$6687$⫌⩹⨱)⨓(⨑⩽⪐($5287$⋝⋈⪟$3616$)⪮%⊝(↣≠⋷$1439$))","expression":"((⨵≀≌⫏≰11020212)≭⫏≰10201021⪢⫏≰100011200⫌⩹⨱)⨓(⨑⩽⪐(⫏≰21020211⋝⋈⪟⫏≰11221221)⪮%⊝(↣≠⋷⫏≰1222022))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6727,"operation_count":9,"complexity_ratio":747.4444444444445,"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":3101,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2707,"base":3},"right_expr":{"type":"numeric_atoms","value":6687,"base":3}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5287,"base":3},"right_expr":{"type":"numeric_atoms","value":3616,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1439,"base":3}}}}},"used_operators":["3ViojmjbAp","EBcxylXtPf","rxpJgHHUmx","srAu1WTS94","dWAJyo7jo9","AF7qkfDlqP","IWmyXbctLI","2DDjHMKMc0","Asc51vEJeQ"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3101","layer":4},{"info":"compute unary expreesion, input=3101, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9303","layer":3},{"info":"number node, value=2707","layer":4},{"info":"number node, value=6687","layer":4},{"info":"compute binary expreesion, left_input=2707, right_input=6687, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-9303, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"number node, value=5287","layer":4},{"info":"number node, value=3616","layer":4},{"info":"compute binary expreesion, left_input=5287, right_input=3616, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5287","layer":3},{"info":"number node, value=1439","layer":4},{"info":"compute unary expreesion, input=1439, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5287, 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 = 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨵≀≌⫏≰11020212)≭⫏≰10201021⪢⫏≰100011200⫌⩹⨱)⨓(⨑⩽⪐(⫏≰21020211⋝⋈⪟⫏≰11221221)⪮%⊝(↣≠⋷⫏≰1222022))=NaN","reverse_text":"NaN=((⨵≀≌⫏≰11020212)≭⫏≰10201021⪢⫏≰100011200⫌⩹⨱)⨓(⨑⩽⪐(⫏≰21020211⋝⋈⪟⫏≰11221221)⪮%⊝(↣≠⋷⫏≰1222022))","cot":[{"info":"⨵≀≌⫏≰11020212=⫏≰-110202120","layer":3},{"info":"⫏≰10201021⪢⫏≰100011200=NaN","layer":3},{"info":"⫏≰-110202120≭NaN=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"⫏≰21020211⋝⋈⪟⫏≰11221221=⫏≰21020211","layer":3},{"info":"↣≠⋷⫏≰1222022=NaN","layer":3},{"info":"⫏≰21020211⪮%⊝NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":959,"expression_no_base_symbol":"(($2426$≧⫂∧$1694$)∼($2684$⪨≂$1000$)⨰((↣≠⋷$1162$)⩚⊴⇥($6013$⨐⩸⫘$5386$)))⪮%⊝(($2334$⇋≉)⪘⫢($6922$↪⪝)⋥≓≎((⨑⩽⪐$3761$)⪨≂$2868$+⇶⊼$2438$))","expression":"((⫏≰10022212≧⫂∧⫏≰2022202)∼(⫏≰10200102⪨≂⫏≰1101001)⨰((↣≠⋷⫏≰1121001)⩚⊴⇥(⫏≰22020201⨐⩸⫘⫏≰21101111)))⪮%⊝((⫏≰10012110⇋≉)⪘⫢(⫏≰100111101↪⪝)⋥≓≎((⨑⩽⪐⫏≰12011022)⪨≂⫏≰10221020+⇶⊼⫏≰10100022))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":785,"operation_count":15,"complexity_ratio":52.333333333333336,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2426,"base":3},"right_expr":{"type":"numeric_atoms","value":1694,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2684,"base":3},"right_expr":{"type":"numeric_atoms","value":1000,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1162,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6013,"base":3},"right_expr":{"type":"numeric_atoms","value":5386,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2334,"base":3}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":6922,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3761,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2868,"base":3},"right_expr":{"type":"numeric_atoms","value":2438,"base":3}}}}},"used_operators":["IWmyXbctLI","eewbuw0ToL","DyGG3AbaNP","Ph9nP6C5qx","sdazOOVcIp","NTOWxs364D","Asc51vEJeQ","fu6greOZ01","Qy55tPpLXF","oacrs7FA3X","XIabStNQrY","l07mrZUIn9","AF7qkfDlqP","TpPTUOHfaN"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2426","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=1694, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1221","layer":3},{"info":"number node, value=2684","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=1000, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3470","layer":3},{"info":"compute binary expreesion, left_input=1221, right_input=3470, 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=1162","layer":4},{"info":"compute unary expreesion, input=1162, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=6013","layer":4},{"info":"number node, value=5386","layer":4},{"info":"compute binary expreesion, left_input=6013, right_input=5386, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=2334","layer":4},{"info":"compute unary expreesion, input=2334, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4570","layer":3},{"info":"number node, value=6922","layer":4},{"info":"compute unary expreesion, input=6922, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=423501804","layer":3},{"info":"compute binary expreesion, left_input=4570, right_input=423501804, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9016","layer":2},{"info":"number node, value=3761","layer":4},{"info":"compute unary expreesion, input=3761, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3488","layer":3},{"info":"number node, value=2868","layer":4},{"info":"number node, value=2438","layer":4},{"info":"compute binary expreesion, left_input=2868, right_input=2438, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-3488, 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=9016, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10022212≧⫂∧⫏≰2022202)∼(⫏≰10200102⪨≂⫏≰1101001)⨰((↣≠⋷⫏≰1121001)⩚⊴⇥(⫏≰22020201⨐⩸⫘⫏≰21101111)))⪮%⊝((⫏≰10012110⇋≉)⪘⫢(⫏≰100111101↪⪝)⋥≓≎((⨑⩽⪐⫏≰12011022)⪨≂⫏≰10221020+⇶⊼⫏≰10100022))=NaN","reverse_text":"NaN=((⫏≰10022212≧⫂∧⫏≰2022202)∼(⫏≰10200102⪨≂⫏≰1101001)⨰((↣≠⋷⫏≰1121001)⩚⊴⇥(⫏≰22020201⨐⩸⫘⫏≰21101111)))⪮%⊝((⫏≰10012110⇋≉)⪘⫢(⫏≰100111101↪⪝)⋥≓≎((⨑⩽⪐⫏≰12011022)⪨≂⫏≰10221020+⇶⊼⫏≰10100022))","cot":[{"info":"⫏≰10022212≧⫂∧⫏≰2022202=⫏≰1200020","layer":3},{"info":"⫏≰10200102⪨≂⫏≰1101001=⫏≰11202112","layer":3},{"info":"⫏≰1200020∼⫏≰11202112=NaN","layer":2},{"info":"↣≠⋷⫏≰1121001=NaN","layer":3},{"info":"⫏≰22020201⨐⩸⫘⫏≰21101111=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⫏≰10012110⇋≉=⫏≰20021021","layer":3},{"info":"⫏≰100111101↪⪝=⫏≰1002111220010021000","layer":3},{"info":"⫏≰20021021⪘⫢⫏≰1002111220010021000=⫏≰110100221","layer":2},{"info":"⨑⩽⪐⫏≰12011022=⫏≰-11210012","layer":3},{"info":"⫏≰10221020+⇶⊼⫏≰10100022=NaN","layer":3},{"info":"⫏≰-11210012⪨≂NaN=NaN","layer":2},{"info":"⫏≰110100221⋥≓≎NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":960,"expression_no_base_symbol":"(⊥($4173$⊭↱$8149$%$3307$≧⫂∧$1385$))≎⊠⪸((⊙↵-($5594$⫌⩹⨱))∲⫓(↔(⨵≀≌$1434$)))","expression":"(⊥(⫏≰12201120⊭↱⫏≰102011211%⫏≰11112111≧⫂∧⫏≰1220022))≎⊠⪸((⊙↵-(⫏≰21200012⫌⩹⨱))∲⫓(↔(⨵≀≌⫏≰1222010)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":453841,"operation_count":10,"complexity_ratio":45384.1,"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":4173,"base":3},"right_expr":{"type":"numeric_atoms","value":8149,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3307,"base":3},"right_expr":{"type":"numeric_atoms","value":1385,"base":3}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5594,"base":3}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1434,"base":3}}}}},"used_operators":["bJkvcejdHO","Q3PJZHRvZv","k8jYdgA6NY","COABgblf1C","Ph9nP6C5qx","i8ToyICDmI","oWn0xqSxBt","EBcxylXtPf","ruOEQAzv1W","srAu1WTS94"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫏≰22201220111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4173","layer":4},{"info":"number node, value=8149","layer":4},{"info":"compute binary expreesion, left_input=4173, right_input=8149, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7957","layer":3},{"info":"number node, value=3307","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=3307, right_input=1385, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=912","layer":3},{"info":"compute binary expreesion, left_input=7957, right_input=912, op_id = k8jYdgA6NY binary_op_definition= 'None', output=661","layer":2},{"info":"compute unary expreesion, input=661, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-664","layer":1},{"info":"number node, value=5594","layer":4},{"info":"compute unary expreesion, input=5594, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=12589","layer":3},{"info":"compute unary expreesion, input=12589, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=1434","layer":4},{"info":"compute unary expreesion, input=1434, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4302","layer":3},{"info":"compute unary expreesion, input=-4302, 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=-1, right_input=-134, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-664, right_input=-1, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=171976","layer":0}],"base":3,"result_base":3,"text":"(⊥(⫏≰12201120⊭↱⫏≰102011211%⫏≰11112111≧⫂∧⫏≰1220022))≎⊠⪸((⊙↵-(⫏≰21200012⫌⩹⨱))∲⫓(↔(⨵≀≌⫏≰1222010)))=⫏≰22201220111","reverse_text":"⫏≰22201220111=(⊥(⫏≰12201120⊭↱⫏≰102011211%⫏≰11112111≧⫂∧⫏≰1220022))≎⊠⪸((⊙↵-(⫏≰21200012⫌⩹⨱))∲⫓(↔(⨵≀≌⫏≰1222010)))","cot":[{"info":"⫏≰12201120⊭↱⫏≰102011211=⫏≰101220201","layer":3},{"info":"⫏≰11112111≧⫂∧⫏≰1220022=⫏≰1020210","layer":3},{"info":"⫏≰101220201%⫏≰1020210=⫏≰220111","layer":2},{"info":"⊥⫏≰220111=⫏≰-220121","layer":1},{"info":"⫏≰21200012⫌⩹⨱=⫏≰122021021","layer":3},{"info":"⊙↵-⫏≰122021021=⫏≰-1","layer":2},{"info":"⨵≀≌⫏≰1222010=⫏≰-12220100","layer":3},{"info":"↔⫏≰-12220100=⫏≰-11222","layer":2},{"info":"⫏≰-1∲⫓⫏≰-11222=⫏≰-1","layer":1},{"info":"⫏≰-220121≎⊠⪸⫏≰-1=⫏≰22201220111","layer":0}]}
{"id":961,"expression_no_base_symbol":"($1373$∑⇟⊟$2918$⋝⋈⪟($1346$⪨≂$3483$)⨸⪁(($1186$-$1175$)⊭↱$8004$∑⇟⊟$3021$))⨐⩸⫘(↥($7152$⫡⨏$1425$⪨≂$4586$⪢$4672$))","expression":"(⫏≰1212212∑⇟⊟⫏≰11000002⋝⋈⪟(⫏≰1211212⪨≂⫏≰11210000)⨸⪁((⫏≰1121221-⫏≰1121112)⊭↱⫏≰101222110∑⇟⊟⫏≰11010220))⨐⩸⫘(↥(⫏≰100210220⫡⨏⫏≰1221210⪨≂⫏≰20021212⪢⫏≰20102001))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4706,"operation_count":12,"complexity_ratio":392.1666666666667,"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":1373,"base":3},"right_expr":{"type":"numeric_atoms","value":2918,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1346,"base":3},"right_expr":{"type":"numeric_atoms","value":3483,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1186,"base":3},"right_expr":{"type":"numeric_atoms","value":1175,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8004,"base":3},"right_expr":{"type":"numeric_atoms","value":3021,"base":3}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7152,"base":3},"right_expr":{"type":"numeric_atoms","value":1425,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4586,"base":3},"right_expr":{"type":"numeric_atoms","value":4672,"base":3}}}}},"used_operators":["fu6greOZ01","g55IO6H4Gj","2DDjHMKMc0","U7g4x0WXJJ","sdazOOVcIp","COABgblf1C","rysDP5nf3Z","A8NUZmVepG","QMFrweE19q","dWAJyo7jo9"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1373","layer":4},{"info":"number node, value=2918","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=2918, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1346","layer":4},{"info":"number node, value=3483","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=3483, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4172","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4172, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1186","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=1175, op_id = rysDP5nf3Z binary_op_definition= 'None', output=11","layer":3},{"info":"number node, value=8004","layer":4},{"info":"number node, value=3021","layer":4},{"info":"compute binary expreesion, left_input=8004, right_input=3021, 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=11, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=7152","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=7152, right_input=1425, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=39393","layer":3},{"info":"number node, value=4586","layer":4},{"info":"number node, value=4672","layer":4},{"info":"compute binary expreesion, left_input=4586, right_input=4672, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=39393, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', 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":3,"result_base":3,"text":"(⫏≰1212212∑⇟⊟⫏≰11000002⋝⋈⪟(⫏≰1211212⪨≂⫏≰11210000)⨸⪁((⫏≰1121221-⫏≰1121112)⊭↱⫏≰101222110∑⇟⊟⫏≰11010220))⨐⩸⫘(↥(⫏≰100210220⫡⨏⫏≰1221210⪨≂⫏≰20021212⪢⫏≰20102001))=NaN","reverse_text":"NaN=(⫏≰1212212∑⇟⊟⫏≰11000002⋝⋈⪟(⫏≰1211212⪨≂⫏≰11210000)⨸⪁((⫏≰1121221-⫏≰1121112)⊭↱⫏≰101222110∑⇟⊟⫏≰11010220))⨐⩸⫘(↥(⫏≰100210220⫡⨏⫏≰1221210⪨≂⫏≰20021212⪢⫏≰20102001))","cot":[{"info":"⫏≰1212212∑⇟⊟⫏≰11000002=NaN","layer":3},{"info":"⫏≰1211212⪨≂⫏≰11210000=⫏≰-12201112","layer":3},{"info":"NaN⋝⋈⪟⫏≰-12201112=NaN","layer":2},{"info":"⫏≰1121221-⫏≰1121112=⫏≰102","layer":3},{"info":"⫏≰101222110∑⇟⊟⫏≰11010220=NaN","layer":3},{"info":"⫏≰102⊭↱NaN=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⫏≰100210220⫡⨏⫏≰1221210=⫏≰2000001000","layer":3},{"info":"⫏≰20021212⪢⫏≰20102001=NaN","layer":3},{"info":"⫏≰2000001000⪨≂NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":962,"expression_no_base_symbol":"⨵≀≌($3512$⋝⋈⪟$1730$⊉≛↸($1773$-$1088$))⫸⊐(($3627$⨁⊸⫻)/$1002$⊉≛↸$1685$)","expression":"⨵≀≌(⫏≰11211002⋝⋈⪟⫏≰2101002⊉≛↸(⫏≰2102200-⫏≰1111022))⫸⊐((⫏≰11222100⨁⊸⫻)/⫏≰1101010⊉≛↸⫏≰2022102)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":160,"operation_count":8,"complexity_ratio":20.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3512,"base":3},"right_expr":{"type":"numeric_atoms","value":1730,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1773,"base":3},"right_expr":{"type":"numeric_atoms","value":1088,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3627,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1002,"base":3},"right_expr":{"type":"numeric_atoms","value":1685,"base":3}}}}},"used_operators":["srAu1WTS94","mqXw5SEYmG","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","XhwjNDsVaA","glklzrTFfD"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰202002021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3512","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=3512, right_input=1730, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3512","layer":3},{"info":"number node, value=1773","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=1088, op_id = rysDP5nf3Z binary_op_definition= 'None', output=685","layer":3},{"info":"compute binary expreesion, left_input=3512, right_input=685, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7024","layer":2},{"info":"number node, value=3627","layer":4},{"info":"compute unary expreesion, input=3627, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3627","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1685, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2004","layer":3},{"info":"compute binary expreesion, left_input=3627, right_input=2004, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"compute binary expreesion, left_input=7024, right_input=1, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-121","layer":1},{"info":"compute unary expreesion, input=-121, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=14641","layer":0}],"base":3,"result_base":3,"text":"⨵≀≌(⫏≰11211002⋝⋈⪟⫏≰2101002⊉≛↸(⫏≰2102200-⫏≰1111022))⫸⊐((⫏≰11222100⨁⊸⫻)/⫏≰1101010⊉≛↸⫏≰2022102)=⫏≰202002021","reverse_text":"⫏≰202002021=⨵≀≌(⫏≰11211002⋝⋈⪟⫏≰2101002⊉≛↸(⫏≰2102200-⫏≰1111022))⫸⊐((⫏≰11222100⨁⊸⫻)/⫏≰1101010⊉≛↸⫏≰2022102)","cot":[{"info":"⫏≰11211002⋝⋈⪟⫏≰2101002=⫏≰11211002","layer":3},{"info":"⫏≰2102200-⫏≰1111022=⫏≰221101","layer":3},{"info":"⫏≰11211002⊉≛↸⫏≰221101=⫏≰100122011","layer":2},{"info":"⫏≰11222100⨁⊸⫻=⫏≰11222100","layer":3},{"info":"⫏≰1101010⊉≛↸⫏≰2022102=⫏≰2202020","layer":3},{"info":"⫏≰11222100/⫏≰2202020=⫏≰1","layer":2},{"info":"⫏≰100122011⫸⊐⫏≰1=⫏≰-11111","layer":1},{"info":"⨵≀≌⫏≰-11111=⫏≰202002021","layer":0}]}
{"id":963,"expression_no_base_symbol":"+⊝⨔((($3296$⊪)⊦⊿)⨵⪆(⨈⫕($5061$⨵⪆$7079$)))","expression":"+⊝⨔(((⫏≰11112002⊪)⊦⊿)⨵⪆(⨈⫕(⫏≰20221110⨵⪆⫏≰100201012)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":447,"operation_count":6,"complexity_ratio":74.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3296,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5061,"base":3},"right_expr":{"type":"numeric_atoms","value":7079,"base":3}}}}},"used_operators":["DhbWaqg5eL","2DQ55sFlQl","14qkJME0vr","zVYPLywUTj","megm06wKyl"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3296","layer":4},{"info":"compute unary expreesion, input=3296, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":2},{"info":"number node, value=5061","layer":4},{"info":"number node, value=7079","layer":4},{"info":"compute binary expreesion, left_input=5061, right_input=7079, 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 = 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=-79, right_input=-21, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":3,"result_base":3,"text":"+⊝⨔(((⫏≰11112002⊪)⊦⊿)⨵⪆(⨈⫕(⫏≰20221110⨵⪆⫏≰100201012)))=⫏≰2002101","reverse_text":"⫏≰2002101=+⊝⨔(((⫏≰11112002⊪)⊦⊿)⨵⪆(⨈⫕(⫏≰20221110⨵⪆⫏≰100201012)))","cot":[{"info":"⫏≰11112002⊪=⫏≰0","layer":3},{"info":"⫏≰0⊦⊿=⫏≰-2221","layer":2},{"info":"⫏≰20221110⨵⪆⫏≰100201012=⫏≰12221","layer":3},{"info":"⨈⫕⫏≰12221=⫏≰-210","layer":2},{"info":"⫏≰-2221⨵⪆⫏≰-210=⫏≰12221","layer":1},{"info":"+⊝⨔⫏≰12221=⫏≰2002101","layer":0}]}
{"id":964,"expression_no_base_symbol":"(($4964$⨁⊸⫻)⨪↰⇹(∥⊫$2173$)∑⇟⊟($2383$↬$1294$⨰($1402$≣⋋)))≹⇙⪍(($5292$≭$2668$↙($1254$↺$8530$))↬($1116$⇷$1385$)⊴($5235$⩤))","expression":"((⫏≰20210212⨁⊸⫻)⨪↰⇹(∥⊫⫏≰2222111)∑⇟⊟(⫏≰10021021↬⫏≰1202221⨰(⫏≰1220221≣⋋)))≹⇙⪍((⫏≰21021000≭⫏≰10122211↙(⫏≰1201110↺⫏≰102200221))↬(⫏≰1112100⇷⫏≰1220022)⊴(⫏≰21011220⩤))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26682,"operation_count":15,"complexity_ratio":1778.8,"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":4964,"base":3}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2173,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2383,"base":3},"right_expr":{"type":"numeric_atoms","value":1294,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1402,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5292,"base":3},"right_expr":{"type":"numeric_atoms","value":2668,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1254,"base":3},"right_expr":{"type":"numeric_atoms","value":8530,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1116,"base":3},"right_expr":{"type":"numeric_atoms","value":1385,"base":3}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5235,"base":3}}}}},"used_operators":["AHs5Up7iyr","U7g4x0WXJJ","tmPS8pqC7x","glklzrTFfD","P8v4zCKN1o","eewbuw0ToL","B5M0gjZbta","Tcnh7f0tEr","yyfyN0ffXY","rxpJgHHUmx","7j4O788W3g","Nsiff2A1zJ","mp7IySMOzn","Z2TMIBDE3Q"],"dependent_operators":["dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4964","layer":4},{"info":"compute unary expreesion, input=4964, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4964","layer":3},{"info":"number node, value=2173","layer":4},{"info":"compute unary expreesion, input=2173, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3041","layer":3},{"info":"compute binary expreesion, left_input=4964, right_input=3041, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4964","layer":2},{"info":"number node, value=2383","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=2383, right_input=1294, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1402","layer":4},{"info":"compute unary expreesion, input=1402, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4964, 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=5292","layer":4},{"info":"number node, value=2668","layer":4},{"info":"compute binary expreesion, left_input=5292, right_input=2668, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1254","layer":4},{"info":"number node, value=8530","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=8530, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8530","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8530, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1116","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=1385, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2770","layer":3},{"info":"number node, value=5235","layer":4},{"info":"compute unary expreesion, input=5235, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5235","layer":3},{"info":"compute binary expreesion, left_input=2770, right_input=-5235, 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":"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":3,"result_base":3,"text":"((⫏≰20210212⨁⊸⫻)⨪↰⇹(∥⊫⫏≰2222111)∑⇟⊟(⫏≰10021021↬⫏≰1202221⨰(⫏≰1220221≣⋋)))≹⇙⪍((⫏≰21021000≭⫏≰10122211↙(⫏≰1201110↺⫏≰102200221))↬(⫏≰1112100⇷⫏≰1220022)⊴(⫏≰21011220⩤))=NaN","reverse_text":"NaN=((⫏≰20210212⨁⊸⫻)⨪↰⇹(∥⊫⫏≰2222111)∑⇟⊟(⫏≰10021021↬⫏≰1202221⨰(⫏≰1220221≣⋋)))≹⇙⪍((⫏≰21021000≭⫏≰10122211↙(⫏≰1201110↺⫏≰102200221))↬(⫏≰1112100⇷⫏≰1220022)⊴(⫏≰21011220⩤))","cot":[{"info":"⫏≰20210212⨁⊸⫻=⫏≰20210212","layer":3},{"info":"∥⊫⫏≰2222111=⫏≰11011122","layer":3},{"info":"⫏≰20210212⨪↰⇹⫏≰11011122=⫏≰20210212","layer":2},{"info":"⫏≰10021021↬⫏≰1202221=NaN","layer":3},{"info":"⫏≰1220221≣⋋=⫏≰0","layer":3},{"info":"NaN⨰⫏≰0=NaN","layer":2},{"info":"⫏≰20210212∑⇟⊟NaN=NaN","layer":1},{"info":"⫏≰21021000≭⫏≰10122211=NaN","layer":3},{"info":"⫏≰1201110↺⫏≰102200221=⫏≰102200221","layer":3},{"info":"NaN↙⫏≰102200221=NaN","layer":2},{"info":"⫏≰1112100⇷⫏≰1220022=⫏≰10210121","layer":3},{"info":"⫏≰21011220⩤=⫏≰-21011220","layer":3},{"info":"⫏≰10210121⊴⫏≰-21011220=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":965,"expression_no_base_symbol":"⨵≀≌(($6124$⪛$2960$-$2181$⪄$3950$)⋫)","expression":"⨵≀≌((⫏≰22101211⪛⫏≰11001122-⫏≰2222210⪄⫏≰12102022)⋫)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":334985,"operation_count":5,"complexity_ratio":66997.0,"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":6124,"base":3},"right_expr":{"type":"numeric_atoms","value":2960,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2181,"base":3},"right_expr":{"type":"numeric_atoms","value":3950,"base":3}}}}},"used_operators":["srAu1WTS94","JL8yIekQnl","rysDP5nf3Z","uFcxV4UQCh","SUmda5xLS4"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫏≰-1220001010000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6124","layer":4},{"info":"number node, value=2960","layer":4},{"info":"compute binary expreesion, left_input=6124, right_input=2960, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=204","layer":3},{"info":"number node, value=2181","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=3950, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-334677","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=-334677, op_id = rysDP5nf3Z binary_op_definition= 'None', output=334881","layer":2},{"info":"compute unary expreesion, input=334881, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=334881","layer":1},{"info":"compute unary expreesion, input=334881, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-1004643","layer":0}],"base":3,"result_base":3,"text":"⨵≀≌((⫏≰22101211⪛⫏≰11001122-⫏≰2222210⪄⫏≰12102022)⋫)=⫏≰-1220001010000","reverse_text":"⫏≰-1220001010000=⨵≀≌((⫏≰22101211⪛⫏≰11001122-⫏≰2222210⪄⫏≰12102022)⋫)","cot":[{"info":"⫏≰22101211⪛⫏≰11001122=⫏≰21120","layer":3},{"info":"⫏≰2222210⪄⫏≰12102022=⫏≰-122000002110","layer":3},{"info":"⫏≰21120-⫏≰-122000002110=⫏≰122000101000","layer":2},{"info":"⫏≰122000101000⋫=⫏≰122000101000","layer":1},{"info":"⨵≀≌⫏≰122000101000=⫏≰-1220001010000","layer":0}]}
{"id":966,"expression_no_base_symbol":"(⪲⇎($2923$⩤)⪘⫢($2308$⫸⊐$1927$))⩨(≉($1197$⨵⪆$3824$)∀⇚≩($3796$≧⫂∧$5459$))","expression":"(⪲⇎(⫏≰11000021⩤)⪘⫢(⫏≰10011111⫸⊐⫏≰2122101))⩨(≉(⫏≰1122100⨵⪆⫏≰12020122)∀⇚≩(⫏≰12012121≧⫂∧⫏≰21111012))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1163,"operation_count":9,"complexity_ratio":129.22222222222223,"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":2923,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2308,"base":3},"right_expr":{"type":"numeric_atoms","value":1927,"base":3}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1197,"base":3},"right_expr":{"type":"numeric_atoms","value":3824,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3796,"base":3},"right_expr":{"type":"numeric_atoms","value":5459,"base":3}}}}},"used_operators":["2DlMacCsIx","XPYlsWDdGa","oacrs7FA3X","Z2TMIBDE3Q","mqXw5SEYmG","e1ybzncUwg","LRNGc0VcxI","2DQ55sFlQl","Ph9nP6C5qx"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2923","layer":4},{"info":"compute unary expreesion, input=2923, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2923","layer":3},{"info":"number node, value=2308","layer":4},{"info":"number node, value=1927","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=1927, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7583","layer":3},{"info":"compute binary expreesion, left_input=-2923, right_input=7583, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":1},{"info":"number node, value=1197","layer":4},{"info":"number node, value=3824","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=3824, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3796","layer":4},{"info":"number node, value=5459","layer":4},{"info":"compute binary expreesion, left_input=3796, right_input=5459, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4986","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4986, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 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":0}],"base":3,"result_base":3,"text":"(⪲⇎(⫏≰11000021⩤)⪘⫢(⫏≰10011111⫸⊐⫏≰2122101))⩨(≉(⫏≰1122100⨵⪆⫏≰12020122)∀⇚≩(⫏≰12012121≧⫂∧⫏≰21111012))=NaN","reverse_text":"NaN=(⪲⇎(⫏≰11000021⩤)⪘⫢(⫏≰10011111⫸⊐⫏≰2122101))⩨(≉(⫏≰1122100⨵⪆⫏≰12020122)∀⇚≩(⫏≰12012121≧⫂∧⫏≰21111012))","cot":[{"info":"⫏≰11000021⩤=⫏≰-11000021","layer":3},{"info":"⫏≰10011111⫸⊐⫏≰2122101=⫏≰101101212","layer":3},{"info":"⫏≰-11000021⪘⫢⫏≰101101212=⫏≰0","layer":2},{"info":"⪲⇎⫏≰0=⫏≰0","layer":1},{"info":"⫏≰1122100⨵⪆⫏≰12020122=⫏≰12221","layer":3},{"info":"⫏≰12012121≧⫂∧⫏≰21111012=⫏≰20211200","layer":3},{"info":"⫏≰12221∀⇚≩⫏≰20211200=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⫏≰0⩨NaN=NaN","layer":0}]}
{"id":967,"expression_no_base_symbol":"(($3602$⩚⊴⇥$3244$)∀⇚≩$1181$⇷$4325$⊭↱$1680$≭$2934$⩚⊴⇥($3770$-$2500$))∸","expression":"((⫏≰11221102⩚⊴⇥⫏≰11110011)∀⇚≩⫏≰1121202⇷⫏≰12221012⊭↱⫏≰2022020≭⫏≰11000200⩚⊴⇥(⫏≰12011122-⫏≰10102121))∸","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":65500,"operation_count":8,"complexity_ratio":8187.5,"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":3602,"base":3},"right_expr":{"type":"numeric_atoms","value":3244,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1181,"base":3},"right_expr":{"type":"numeric_atoms","value":4325,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1680,"base":3},"right_expr":{"type":"numeric_atoms","value":2934,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3770,"base":3},"right_expr":{"type":"numeric_atoms","value":2500,"base":3}}}}},"used_operators":["o20kRiQErp","COABgblf1C","LRNGc0VcxI","NTOWxs364D","mp7IySMOzn","rxpJgHHUmx","rysDP5nf3Z"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3602","layer":4},{"info":"number node, value=3244","layer":4},{"info":"compute binary expreesion, left_input=3602, right_input=3244, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6967","layer":3},{"info":"number node, value=1181","layer":4},{"info":"number node, value=4325","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=4325, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8650","layer":3},{"info":"compute binary expreesion, left_input=-6967, right_input=8650, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1680","layer":4},{"info":"number node, value=2934","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=2934, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3770","layer":4},{"info":"number node, value=2500","layer":4},{"info":"compute binary expreesion, left_input=3770, right_input=2500, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1270","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1270, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11221102⩚⊴⇥⫏≰11110011)∀⇚≩⫏≰1121202⇷⫏≰12221012⊭↱⫏≰2022020≭⫏≰11000200⩚⊴⇥(⫏≰12011122-⫏≰10102121))∸=⫏≰20120","reverse_text":"⫏≰20120=((⫏≰11221102⩚⊴⇥⫏≰11110011)∀⇚≩⫏≰1121202⇷⫏≰12221012⊭↱⫏≰2022020≭⫏≰11000200⩚⊴⇥(⫏≰12011122-⫏≰10102121))∸","cot":[{"info":"⫏≰11221102⩚⊴⇥⫏≰11110011=⫏≰-100120001","layer":3},{"info":"⫏≰1121202⇷⫏≰12221012=⫏≰102212101","layer":3},{"info":"⫏≰-100120001∀⇚≩⫏≰102212101=NaN","layer":2},{"info":"⫏≰2022020≭⫏≰11000200=NaN","layer":3},{"info":"⫏≰12011122-⫏≰10102121=⫏≰1202001","layer":3},{"info":"NaN⩚⊴⇥⫏≰1202001=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"NaN∸=⫏≰20120","layer":0}]}
{"id":968,"expression_no_base_symbol":"($5155$⫥∨⫟$7897$⨵⪆$2889$+⇶⊼$1073$)⇷(⋗⩬⋾$3820$≹⇙⪍$4178$)⨎($1242$⨓$2331$)⊴(⪝⪂⫅$5200$)≧⫂∧(($7226$%$4563$)⇼⇔∾($1066$*$2696$))","expression":"(⫏≰21001221⫥∨⫟⫏≰101211111⨵⪆⫏≰10222000+⇶⊼⫏≰1110202)⇷(⋗⩬⋾⫏≰12020111≹⇙⪍⫏≰12201202)⨎(⫏≰1201000⨓⫏≰10012100)⊴(⪝⪂⫅⫏≰21010121)≧⫂∧((⫏≰100220122%⫏≰20021000)⇼⇔∾(⫏≰1110111*⫏≰10200212))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":770370,"operation_count":14,"complexity_ratio":55026.42857142857,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5155,"base":3},"right_expr":{"type":"numeric_atoms","value":7897,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2889,"base":3},"right_expr":{"type":"numeric_atoms","value":1073,"base":3}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3820,"base":3},"right_expr":{"type":"numeric_atoms","value":4178,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1242,"base":3},"right_expr":{"type":"numeric_atoms","value":2331,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5200,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7226,"base":3},"right_expr":{"type":"numeric_atoms","value":4563,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1066,"base":3},"right_expr":{"type":"numeric_atoms","value":2696,"base":3}}}}},"used_operators":["rJVOvQCfKK","mp7IySMOzn","2DQ55sFlQl","KYD54nUTWz","TpPTUOHfaN","DpFCA1CohY","AHs5Up7iyr","Ph9nP6C5qx","Nsiff2A1zJ","3ViojmjbAp","XTarYq4gQB","tifHPKVTfV","k8jYdgA6NY","9HNa5Wba9A"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"⫏≰12101211222221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5155","layer":4},{"info":"number node, value=7897","layer":4},{"info":"compute binary expreesion, left_input=5155, right_input=7897, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2889","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=2889, right_input=1073, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3820","layer":4},{"info":"number node, value=4178","layer":4},{"info":"compute binary expreesion, left_input=3820, right_input=4178, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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=160, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1242","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=2331, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2334","layer":3},{"info":"number node, value=5200","layer":4},{"info":"compute unary expreesion, input=5200, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-764400","layer":3},{"info":"compute binary expreesion, left_input=-2334, right_input=-764400, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=7226","layer":4},{"info":"number node, value=4563","layer":4},{"info":"compute binary expreesion, left_input=7226, right_input=4563, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2663","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=2696","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=2696, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2873936","layer":3},{"info":"compute binary expreesion, left_input=2663, right_input=2873936, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2871273","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2871273, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2870800","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2870800, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2870800","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21001221⫥∨⫟⫏≰101211111⨵⪆⫏≰10222000+⇶⊼⫏≰1110202)⇷(⋗⩬⋾⫏≰12020111≹⇙⪍⫏≰12201202)⨎(⫏≰1201000⨓⫏≰10012100)⊴(⪝⪂⫅⫏≰21010121)≧⫂∧((⫏≰100220122%⫏≰20021000)⇼⇔∾(⫏≰1110111*⫏≰10200212))=⫏≰12101211222221","reverse_text":"⫏≰12101211222221=(⫏≰21001221⫥∨⫟⫏≰101211111⨵⪆⫏≰10222000+⇶⊼⫏≰1110202)⇷(⋗⩬⋾⫏≰12020111≹⇙⪍⫏≰12201202)⨎(⫏≰1201000⨓⫏≰10012100)⊴(⪝⪂⫅⫏≰21010121)≧⫂∧((⫏≰100220122%⫏≰20021000)⇼⇔∾(⫏≰1110111*⫏≰10200212))","cot":[{"info":"⫏≰21001221⫥∨⫟⫏≰101211111=NaN","layer":3},{"info":"⫏≰10222000+⇶⊼⫏≰1110202=NaN","layer":3},{"info":"NaN⨵⪆NaN=⫏≰12221","layer":2},{"info":"⫏≰12020111≹⇙⪍⫏≰12201202=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⫏≰12221⇷NaN=NaN","layer":1},{"info":"⫏≰1201000⨓⫏≰10012100=⫏≰-10012110","layer":3},{"info":"⪝⪂⫅⫏≰21010121=⫏≰-1102211120010","layer":3},{"info":"⫏≰-10012110⊴⫏≰-1102211120010=NaN","layer":2},{"info":"⫏≰100220122%⫏≰20021000=⫏≰10122122","layer":3},{"info":"⫏≰1110111*⫏≰10200212=⫏≰12102000022002","layer":3},{"info":"⫏≰10122122⇼⇔∾⫏≰12102000022002=⫏≰12101212122110","layer":2},{"info":"NaN≧⫂∧⫏≰12101212122110=⫏≰12101211222221","layer":1},{"info":"NaN⨎⫏≰12101211222221=⫏≰12101211222221","layer":0}]}
{"id":969,"expression_no_base_symbol":"⨵≀≌(($1626$∲⫓$2547$⫡⨏$2363$⨐⩸⫘$1443$)*(⊙↵-($1531$⪨≂$3834$)))","expression":"⨵≀≌((⫏≰2020020∲⫓⫏≰10111100⫡⨏⫏≰10020112⨐⩸⫘⫏≰1222110)*(⊙↵-(⫏≰2002201⪨≂⫏≰12021000)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4555,"operation_count":7,"complexity_ratio":650.7142857142857,"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":1626,"base":3},"right_expr":{"type":"numeric_atoms","value":2547,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2363,"base":3},"right_expr":{"type":"numeric_atoms","value":1443,"base":3}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1531,"base":3},"right_expr":{"type":"numeric_atoms","value":3834,"base":3}}}}},"used_operators":["srAu1WTS94","9HNa5Wba9A","QMFrweE19q","i8ToyICDmI","fu6greOZ01","oWn0xqSxBt","sdazOOVcIp"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1626","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=2547, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2363","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=1443, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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=1531","layer":4},{"info":"number node, value=3834","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=3834, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4504","layer":3},{"info":"compute unary expreesion, input=-4504, 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 = 9HNa5Wba9A 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":3,"result_base":3,"text":"⨵≀≌((⫏≰2020020∲⫓⫏≰10111100⫡⨏⫏≰10020112⨐⩸⫘⫏≰1222110)*(⊙↵-(⫏≰2002201⪨≂⫏≰12021000)))=NaN","reverse_text":"NaN=⨵≀≌((⫏≰2020020∲⫓⫏≰10111100⫡⨏⫏≰10020112⨐⩸⫘⫏≰1222110)*(⊙↵-(⫏≰2002201⪨≂⫏≰12021000)))","cot":[{"info":"⫏≰2020020∲⫓⫏≰10111100=⫏≰0","layer":3},{"info":"⫏≰10020112⨐⩸⫘⫏≰1222110=NaN","layer":3},{"info":"⫏≰0⫡⨏NaN=NaN","layer":2},{"info":"⫏≰2002201⪨≂⫏≰12021000=⫏≰-20011211","layer":3},{"info":"⊙↵-⫏≰-20011211=⫏≰21021","layer":2},{"info":"NaN*⫏≰21021=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":970,"expression_no_base_symbol":"(+⊝⨔($3641$*$3767$))↺(+⊝⨔(∂$1259$))-(↽≂$2673$≹⇙⪍$4805$)⪒($2212$⫥∨⫟$2171$)↬($1326$⫌⩹⨱)","expression":"(+⊝⨔(⫏≰11222212*⫏≰12011112))↺(+⊝⨔(∂⫏≰1201122))-(↽≂⫏≰10200000≹⇙⪍⫏≰20120222)⪒(⫏≰10000221⫥∨⫟⫏≰2222102)↬(⫏≰1211010⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3874,"operation_count":12,"complexity_ratio":322.8333333333333,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3641,"base":3},"right_expr":{"type":"numeric_atoms","value":3767,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1259,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2673,"base":3},"right_expr":{"type":"numeric_atoms","value":4805,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2212,"base":3},"right_expr":{"type":"numeric_atoms","value":2171,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1326,"base":3}}}}},"used_operators":["rysDP5nf3Z","7j4O788W3g","DhbWaqg5eL","9HNa5Wba9A","Uaa54Peajs","f6k1SAg4EE","u6S6b8DprG","AHs5Up7iyr","B5M0gjZbta","KYD54nUTWz","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3641","layer":4},{"info":"number node, value=3767","layer":4},{"info":"compute binary expreesion, left_input=3641, right_input=3767, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13715647","layer":3},{"info":"compute unary expreesion, input=13715647, 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=1259","layer":4},{"info":"compute unary expreesion, input=1259, 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 = 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=1522, 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":1},{"info":"number node, value=2673","layer":4},{"info":"number node, value=4805","layer":4},{"info":"compute binary expreesion, left_input=2673, right_input=4805, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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":"number node, value=2212","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=2212, right_input=2171, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1326","layer":4},{"info":"compute unary expreesion, input=1326, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4053","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4053, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(+⊝⨔(⫏≰11222212*⫏≰12011112))↺(+⊝⨔(∂⫏≰1201122))-(↽≂⫏≰10200000≹⇙⪍⫏≰20120222)⪒(⫏≰10000221⫥∨⫟⫏≰2222102)↬(⫏≰1211010⫌⩹⨱)=NaN","reverse_text":"NaN=(+⊝⨔(⫏≰11222212*⫏≰12011112))↺(+⊝⨔(∂⫏≰1201122))-(↽≂⫏≰10200000≹⇙⪍⫏≰20120222)⪒(⫏≰10000221⫥∨⫟⫏≰2222102)↬(⫏≰1211010⫌⩹⨱)","cot":[{"info":"⫏≰11222212*⫏≰12011112=⫏≰221210211022221","layer":3},{"info":"+⊝⨔⫏≰221210211022221=⫏≰2002101","layer":2},{"info":"∂⫏≰1201122=NaN","layer":3},{"info":"+⊝⨔NaN=⫏≰2002101","layer":2},{"info":"⫏≰2002101↺⫏≰2002101=⫏≰2002101","layer":1},{"info":"⫏≰10200000≹⇙⪍⫏≰20120222=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⫏≰10000221⫥∨⫟⫏≰2222102=NaN","layer":3},{"info":"⫏≰1211010⫌⩹⨱=⫏≰12120010","layer":3},{"info":"NaN↬⫏≰12120010=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⫏≰2002101-NaN=NaN","layer":0}]}
{"id":971,"expression_no_base_symbol":"(⊄⩳↩($8828$∲⫓$4007$/$1077$∀⇚≩$4300$))≦≮≮","expression":"(⊄⩳↩(⫏≰110002222∲⫓⫏≰12111102/⫏≰1110220∀⇚≩⫏≰12220021))≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7548,"operation_count":5,"complexity_ratio":1509.6,"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":8828,"base":3},"right_expr":{"type":"numeric_atoms","value":4007,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1077,"base":3},"right_expr":{"type":"numeric_atoms","value":4300,"base":3}}}}},"used_operators":["D4vGDi5EA2","8w2t5hMYqp","XhwjNDsVaA","i8ToyICDmI","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=8828","layer":4},{"info":"number node, value=4007","layer":4},{"info":"compute binary expreesion, left_input=8828, right_input=4007, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=4300","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=4300, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = XhwjNDsVaA 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 unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊄⩳↩(⫏≰110002222∲⫓⫏≰12111102/⫏≰1110220∀⇚≩⫏≰12220021))≦≮≮=NaN","reverse_text":"NaN=(⊄⩳↩(⫏≰110002222∲⫓⫏≰12111102/⫏≰1110220∀⇚≩⫏≰12220021))≦≮≮","cot":[{"info":"⫏≰110002222∲⫓⫏≰12111102=⫏≰0","layer":3},{"info":"⫏≰1110220∀⇚≩⫏≰12220021=NaN","layer":3},{"info":"⫏≰0/NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":972,"expression_no_base_symbol":"($6356$⨪↰⇹$6410$↺($6286$≦≮≮)⊭↱($3223$⨪↰⇹$3954$⨵⪆($1093$⋫)))⇷(⊥($1359$+⇶⊼$2044$))⪮%⊝($4817$≭$2619$⊉≛↸$3424$↙$4686$)","expression":"(⫏≰22201102⨪↰⇹⫏≰22210102↺(⫏≰22121211≦≮≮)⊭↱(⫏≰11102101⨪↰⇹⫏≰12102110⨵⪆(⫏≰1111111⋫)))⇷(⊥(⫏≰1212100+⇶⊼⫏≰2210201))⪮%⊝(⫏≰20121102≭⫏≰10121000⊉≛↸⫏≰11200211↙⫏≰20102120)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":547967,"operation_count":14,"complexity_ratio":39140.5,"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":6356,"base":3},"right_expr":{"type":"numeric_atoms","value":6410,"base":3}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":6286,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3223,"base":3},"right_expr":{"type":"numeric_atoms","value":3954,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1093,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1359,"base":3},"right_expr":{"type":"numeric_atoms","value":2044,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4817,"base":3},"right_expr":{"type":"numeric_atoms","value":2619,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3424,"base":3},"right_expr":{"type":"numeric_atoms","value":4686,"base":3}}}}},"used_operators":["mp7IySMOzn","COABgblf1C","7j4O788W3g","tmPS8pqC7x","D4vGDi5EA2","2DQ55sFlQl","JL8yIekQnl","IWmyXbctLI","Q3PJZHRvZv","TpPTUOHfaN","DZ8iAZOCBD","rxpJgHHUmx","yyfyN0ffXY"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","fu6greOZ01","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6356","layer":4},{"info":"number node, value=6410","layer":4},{"info":"compute binary expreesion, left_input=6356, right_input=6410, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6356","layer":3},{"info":"number node, value=6286","layer":4},{"info":"compute unary expreesion, input=6286, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-18858","layer":3},{"info":"compute binary expreesion, left_input=6356, right_input=-18858, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-18858","layer":2},{"info":"number node, value=3223","layer":4},{"info":"number node, value=3954","layer":4},{"info":"compute binary expreesion, left_input=3223, right_input=3954, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":3},{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1093","layer":3},{"info":"compute binary expreesion, left_input=3223, right_input=1093, 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=-18858, right_input=160, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=38041","layer":1},{"info":"number node, value=1359","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=2044, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=4817","layer":4},{"info":"number node, value=2619","layer":4},{"info":"compute binary expreesion, left_input=4817, right_input=2619, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3424","layer":4},{"info":"number node, value=4686","layer":4},{"info":"compute binary expreesion, left_input=3424, right_input=4686, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14058","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14058, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=38041, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰22201102⨪↰⇹⫏≰22210102↺(⫏≰22121211≦≮≮)⊭↱(⫏≰11102101⨪↰⇹⫏≰12102110⨵⪆(⫏≰1111111⋫)))⇷(⊥(⫏≰1212100+⇶⊼⫏≰2210201))⪮%⊝(⫏≰20121102≭⫏≰10121000⊉≛↸⫏≰11200211↙⫏≰20102120)=NaN","reverse_text":"NaN=(⫏≰22201102⨪↰⇹⫏≰22210102↺(⫏≰22121211≦≮≮)⊭↱(⫏≰11102101⨪↰⇹⫏≰12102110⨵⪆(⫏≰1111111⋫)))⇷(⊥(⫏≰1212100+⇶⊼⫏≰2210201))⪮%⊝(⫏≰20121102≭⫏≰10121000⊉≛↸⫏≰11200211↙⫏≰20102120)","cot":[{"info":"⫏≰22201102⨪↰⇹⫏≰22210102=⫏≰22201102","layer":3},{"info":"⫏≰22121211≦≮≮=⫏≰-221212110","layer":3},{"info":"⫏≰22201102↺⫏≰-221212110=⫏≰-221212110","layer":2},{"info":"⫏≰11102101⨪↰⇹⫏≰12102110=⫏≰11102101","layer":3},{"info":"⫏≰1111111⋫=⫏≰1111111","layer":3},{"info":"⫏≰11102101⨵⪆⫏≰1111111=⫏≰12221","layer":2},{"info":"⫏≰-221212110⊭↱⫏≰12221=⫏≰1221011221","layer":1},{"info":"⫏≰1212100+⇶⊼⫏≰2210201=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⫏≰20121102≭⫏≰10121000=NaN","layer":3},{"info":"⫏≰11200211↙⫏≰20102120=⫏≰-201021200","layer":3},{"info":"NaN⊉≛↸⫏≰-201021200=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"⫏≰1221011221⇷NaN=NaN","layer":0}]}
{"id":973,"expression_no_base_symbol":"($1693$*$6493$)≹⇙⪍($1888$⊭↱$2238$)⋓((⪝⪂⫅$1314$)⩚⊴⇥($6611$⩚⊴⇥$5988$))*(($5083$∲⫓$2868$)⩨$2189$⇷$1352$)+⇶⊼($3737$↬$4102$⊠≄⫣)","expression":"(⫏≰2022201*⫏≰22220111)≹⇙⪍(⫏≰2120221⊭↱⫏≰10001220)⋓((⪝⪂⫅⫏≰1210200)⩚⊴⇥(⫏≰100001212⩚⊴⇥⫏≰22012210))*((⫏≰20222021∲⫓⫏≰10221020)⩨⫏≰10000002⇷⫏≰1212002)+⇶⊼(⫏≰12010102↬⫏≰12121221⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18425250,"operation_count":14,"complexity_ratio":1316089.2857142857,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1693,"base":3},"right_expr":{"type":"numeric_atoms","value":6493,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1888,"base":3},"right_expr":{"type":"numeric_atoms","value":2238,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1314,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6611,"base":3},"right_expr":{"type":"numeric_atoms","value":5988,"base":3}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5083,"base":3},"right_expr":{"type":"numeric_atoms","value":2868,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2189,"base":3},"right_expr":{"type":"numeric_atoms","value":1352,"base":3}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3737,"base":3},"right_expr":{"type":"numeric_atoms","value":4102,"base":3}}}}},"used_operators":["9HNa5Wba9A","T2fj7uvVaJ","AHs5Up7iyr","COABgblf1C","NTOWxs364D","XTarYq4gQB","TpPTUOHfaN","2DlMacCsIx","i8ToyICDmI","mp7IySMOzn","DIvbN7qnHd","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1693","layer":4},{"info":"number node, value=6493","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=6493, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10992649","layer":3},{"info":"number node, value=1888","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=1888, right_input=2238, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=705","layer":3},{"info":"compute binary expreesion, left_input=10992649, right_input=705, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1314","layer":4},{"info":"compute unary expreesion, input=1314, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-193158","layer":3},{"info":"number node, value=6611","layer":4},{"info":"number node, value=5988","layer":4},{"info":"compute binary expreesion, left_input=6611, right_input=5988, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12720","layer":3},{"info":"compute binary expreesion, left_input=-193158, right_input=-12720, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=205757","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=205757, op_id = T2fj7uvVaJ 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=5083","layer":4},{"info":"number node, value=2868","layer":4},{"info":"compute binary expreesion, left_input=5083, right_input=2868, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2189","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=2189, right_input=1352, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2704","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2704, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3737","layer":4},{"info":"number node, value=4102","layer":4},{"info":"compute binary expreesion, left_input=3737, right_input=4102, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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 binary expreesion, left_input=0, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2022201*⫏≰22220111)≹⇙⪍(⫏≰2120221⊭↱⫏≰10001220)⋓((⪝⪂⫅⫏≰1210200)⩚⊴⇥(⫏≰100001212⩚⊴⇥⫏≰22012210))*((⫏≰20222021∲⫓⫏≰10221020)⩨⫏≰10000002⇷⫏≰1212002)+⇶⊼(⫏≰12010102↬⫏≰12121221⊠≄⫣)=NaN","reverse_text":"NaN=(⫏≰2022201*⫏≰22220111)≹⇙⪍(⫏≰2120221⊭↱⫏≰10001220)⋓((⪝⪂⫅⫏≰1210200)⩚⊴⇥(⫏≰100001212⩚⊴⇥⫏≰22012210))*((⫏≰20222021∲⫓⫏≰10221020)⩨⫏≰10000002⇷⫏≰1212002)+⇶⊼(⫏≰12010102↬⫏≰12121221⊠≄⫣)","cot":[{"info":"⫏≰2022201*⫏≰22220111=⫏≰202200111002011","layer":3},{"info":"⫏≰2120221⊭↱⫏≰10001220=⫏≰222010","layer":3},{"info":"⫏≰202200111002011≹⇙⪍⫏≰222010=NaN","layer":2},{"info":"⪝⪂⫅⫏≰1210200=⫏≰-100210222000","layer":3},{"info":"⫏≰100001212⩚⊴⇥⫏≰22012210=⫏≰-122110010","layer":3},{"info":"⫏≰-100210222000⩚⊴⇥⫏≰-122110010=⫏≰101110020122","layer":2},{"info":"NaN⋓⫏≰101110020122=⫏≰0","layer":1},{"info":"⫏≰20222021∲⫓⫏≰10221020=⫏≰0","layer":3},{"info":"⫏≰10000002⇷⫏≰1212002=⫏≰10201011","layer":3},{"info":"⫏≰0⩨⫏≰10201011=NaN","layer":2},{"info":"⫏≰12010102↬⫏≰12121221=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⫏≰0*NaN=NaN","layer":0}]}
{"id":974,"expression_no_base_symbol":"(($2792$⩚⊴⇥$5708$)⨟⋌⩍($1402$⋥≓≎$2560$)⫡⨏$1657$⪮%⊝$1012$⋓($1712$⨳⩥⨓$1788$))≎⊠⪸($6056$≎⊠⪸$2556$⫡⨏$1147$⪘⫢$3003$)∑⇟⊟(⇁⨣⪵$3112$⪛$5700$)","expression":"((⫏≰10211102⩚⊴⇥⫏≰21211102)⨟⋌⩍(⫏≰1220221⋥≓≎⫏≰10111211)⫡⨏⫏≰2021101⪮%⊝⫏≰1101111⋓(⫏≰2100102⨳⩥⨓⫏≰2110020))≎⊠⪸(⫏≰22022022≎⊠⪸⫏≰10111200⫡⨏⫏≰1120111⪘⫢⫏≰11010020)∑⇟⊟(⇁⨣⪵⫏≰11021021⪛⫏≰21211010)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":349,"operation_count":14,"complexity_ratio":24.928571428571427,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2792,"base":3},"right_expr":{"type":"numeric_atoms","value":5708,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1402,"base":3},"right_expr":{"type":"numeric_atoms","value":2560,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1657,"base":3},"right_expr":{"type":"numeric_atoms","value":1012,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1712,"base":3},"right_expr":{"type":"numeric_atoms","value":1788,"base":3}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6056,"base":3},"right_expr":{"type":"numeric_atoms","value":2556,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1147,"base":3},"right_expr":{"type":"numeric_atoms","value":3003,"base":3}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3112,"base":3},"right_expr":{"type":"numeric_atoms","value":5700,"base":3}}}}},"used_operators":["bJkvcejdHO","QMFrweE19q","rGHVDoGpnC","NTOWxs364D","Qy55tPpLXF","T2fj7uvVaJ","IWmyXbctLI","nCS4ZIUYfx","U7g4x0WXJJ","oacrs7FA3X","inkyxCbjAn","uFcxV4UQCh"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2792","layer":4},{"info":"number node, value=5708","layer":4},{"info":"compute binary expreesion, left_input=2792, right_input=5708, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8621","layer":3},{"info":"number node, value=1402","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=2560, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3751","layer":3},{"info":"compute binary expreesion, left_input=-8621, right_input=3751, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1657","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=1012, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3630","layer":3},{"info":"number node, value=1712","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=1788, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=76","layer":3},{"info":"compute binary expreesion, left_input=3630, right_input=76, op_id = T2fj7uvVaJ 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 = 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=6056","layer":4},{"info":"number node, value=2556","layer":4},{"info":"compute binary expreesion, left_input=6056, right_input=2556, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1568031","layer":3},{"info":"number node, value=1147","layer":4},{"info":"number node, value=3003","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=3003, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2170","layer":3},{"info":"compute binary expreesion, left_input=1568031, right_input=2170, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=7845278","layer":2},{"info":"number node, value=3112","layer":4},{"info":"number node, value=5700","layer":4},{"info":"compute binary expreesion, left_input=3112, right_input=5700, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3112","layer":3},{"info":"compute unary expreesion, input=3112, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7845278, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10211102⩚⊴⇥⫏≰21211102)⨟⋌⩍(⫏≰1220221⋥≓≎⫏≰10111211)⫡⨏⫏≰2021101⪮%⊝⫏≰1101111⋓(⫏≰2100102⨳⩥⨓⫏≰2110020))≎⊠⪸(⫏≰22022022≎⊠⪸⫏≰10111200⫡⨏⫏≰1120111⪘⫢⫏≰11010020)∑⇟⊟(⇁⨣⪵⫏≰11021021⪛⫏≰21211010)=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰10211102⩚⊴⇥⫏≰21211102)⨟⋌⩍(⫏≰1220221⋥≓≎⫏≰10111211)⫡⨏⫏≰2021101⪮%⊝⫏≰1101111⋓(⫏≰2100102⨳⩥⨓⫏≰2110020))≎⊠⪸(⫏≰22022022≎⊠⪸⫏≰10111200⫡⨏⫏≰1120111⪘⫢⫏≰11010020)∑⇟⊟(⇁⨣⪵⫏≰11021021⪛⫏≰21211010)","cot":[{"info":"⫏≰10211102⩚⊴⇥⫏≰21211102=⫏≰-102211022","layer":3},{"info":"⫏≰1220221⋥≓≎⫏≰10111211=⫏≰12010221","layer":3},{"info":"⫏≰-102211022⨟⋌⩍⫏≰12010221=NaN","layer":2},{"info":"⫏≰2021101⪮%⊝⫏≰1101111=⫏≰11222110","layer":3},{"info":"⫏≰2100102⨳⩥⨓⫏≰2110020=⫏≰2211","layer":3},{"info":"⫏≰11222110⋓⫏≰2211=⫏≰0","layer":2},{"info":"NaN⫡⨏⫏≰0=NaN","layer":1},{"info":"⫏≰22022022≎⊠⪸⫏≰10111200=⫏≰2221122221020","layer":3},{"info":"⫏≰1120111⪘⫢⫏≰11010020=⫏≰2222101","layer":3},{"info":"⫏≰2221122221020⫡⨏⫏≰2222101=⫏≰112202120200212","layer":2},{"info":"⫏≰11021021⪛⫏≰21211010=⫏≰11021021","layer":3},{"info":"⇁⨣⪵⫏≰11021021=NaN","layer":2},{"info":"⫏≰112202120200212∑⇟⊟NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⫏≰2111","layer":0}]}
{"id":975,"expression_no_base_symbol":"(($1895$⊭∹↮)⋫)⨪↰⇹(($2010$-$4010$)⊪)-$5106$∑⇟⊟$1228$⨰($1244$≋⫹)⋳⪒($4450$⊭∹↮)+⇶⊼($6868$⊭↱$6079$)","expression":"((⫏≰2121012⊭∹↮)⋫)⨪↰⇹((⫏≰2202110-⫏≰12111112)⊪)-⫏≰21000010∑⇟⊟⫏≰1200111⨰(⫏≰1201002≋⫹)⋳⪒(⫏≰20002211⊭∹↮)+⇶⊼(⫏≰100102101⊭↱⫏≰22100011)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13635,"operation_count":13,"complexity_ratio":1048.8461538461538,"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":1895,"base":3}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2010,"base":3},"right_expr":{"type":"numeric_atoms","value":4010,"base":3}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5106,"base":3},"right_expr":{"type":"numeric_atoms","value":1228,"base":3}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1244,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4450,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6868,"base":3},"right_expr":{"type":"numeric_atoms","value":6079,"base":3}}}}},"used_operators":["rysDP5nf3Z","tmPS8pqC7x","JL8yIekQnl","xNBdhnnwKq","zVYPLywUTj","12rbrZMWeM","eewbuw0ToL","U7g4x0WXJJ","N41Kp7NANJ","TpPTUOHfaN","COABgblf1C"],"dependent_operators":["rJVOvQCfKK","tmPS8pqC7x","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1895","layer":4},{"info":"compute unary expreesion, input=1895, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3790","layer":3},{"info":"compute unary expreesion, input=3790, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3790","layer":2},{"info":"number node, value=2010","layer":4},{"info":"number node, value=4010","layer":4},{"info":"compute binary expreesion, left_input=2010, right_input=4010, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2000","layer":3},{"info":"compute unary expreesion, input=-2000, 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=40232422","layer":2},{"info":"compute binary expreesion, left_input=3790, right_input=40232422, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3790","layer":1},{"info":"number node, value=5106","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=5106, right_input=1228, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1244","layer":4},{"info":"compute unary expreesion, input=1244, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2488","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2488, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=4450","layer":4},{"info":"compute unary expreesion, input=4450, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8900","layer":3},{"info":"number node, value=6868","layer":4},{"info":"number node, value=6079","layer":4},{"info":"compute binary expreesion, left_input=6868, right_input=6079, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1573","layer":3},{"info":"compute binary expreesion, left_input=8900, right_input=-1573, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3790, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2121012⊭∹↮)⋫)⨪↰⇹((⫏≰2202110-⫏≰12111112)⊪)-⫏≰21000010∑⇟⊟⫏≰1200111⨰(⫏≰1201002≋⫹)⋳⪒(⫏≰20002211⊭∹↮)+⇶⊼(⫏≰100102101⊭↱⫏≰22100011)=NaN","reverse_text":"NaN=((⫏≰2121012⊭∹↮)⋫)⨪↰⇹((⫏≰2202110-⫏≰12111112)⊪)-⫏≰21000010∑⇟⊟⫏≰1200111⨰(⫏≰1201002≋⫹)⋳⪒(⫏≰20002211⊭∹↮)+⇶⊼(⫏≰100102101⊭↱⫏≰22100011)","cot":[{"info":"⫏≰2121012⊭∹↮=⫏≰12012101","layer":3},{"info":"⫏≰12012101⋫=⫏≰12012101","layer":2},{"info":"⫏≰2202110-⫏≰12111112=⫏≰-2202002","layer":3},{"info":"⫏≰-2202002⊪=⫏≰2210201000111201","layer":2},{"info":"⫏≰12012101⨪↰⇹⫏≰2210201000111201=⫏≰12012101","layer":1},{"info":"⫏≰21000010∑⇟⊟⫏≰1200111=NaN","layer":3},{"info":"⫏≰1201002≋⫹=⫏≰-10102011","layer":3},{"info":"NaN⨰⫏≰-10102011=NaN","layer":2},{"info":"⫏≰20002211⊭∹↮=⫏≰110012122","layer":3},{"info":"⫏≰100102101⊭↱⫏≰22100011=⫏≰-2011021","layer":3},{"info":"⫏≰110012122+⇶⊼⫏≰-2011021=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⫏≰12012101-NaN=NaN","layer":0}]}
{"id":976,"expression_no_base_symbol":"($1211$⫡⨏$1005$↪⪝)⪢($5514$⪄$3362$⊉≛↸($4174$-$4450$))⨵⪆(≤/($1482$⨵⪆$2839$⪨≂$2398$⩷∴$1003$))","expression":"(⫏≰1122212⫡⨏⫏≰1101020↪⪝)⪢(⫏≰21120020⪄⫏≰11121112⊉≛↸(⫏≰12201121-⫏≰20002211))⨵⪆(≤/(⫏≰2000220⨵⪆⫏≰10220011⪨≂⫏≰10021211⩷∴⫏≰1101011))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4468661,"operation_count":11,"complexity_ratio":406241.9090909091,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1211,"base":3},"right_expr":{"type":"numeric_atoms","value":1005,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5514,"base":3},"right_expr":{"type":"numeric_atoms","value":3362,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4174,"base":3},"right_expr":{"type":"numeric_atoms","value":4450,"base":3}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1482,"base":3},"right_expr":{"type":"numeric_atoms","value":2839,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2398,"base":3},"right_expr":{"type":"numeric_atoms","value":1003,"base":3}}}}},"used_operators":["2DQ55sFlQl","dWAJyo7jo9","l07mrZUIn9","QMFrweE19q","DZ8iAZOCBD","SUmda5xLS4","rysDP5nf3Z","eLAdDNolq6","sdazOOVcIp","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1211","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=1005, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=8848","layer":3},{"info":"compute unary expreesion, input=8848, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=541338336","layer":2},{"info":"number node, value=5514","layer":4},{"info":"number node, value=3362","layer":4},{"info":"compute binary expreesion, left_input=5514, right_input=3362, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-825609","layer":3},{"info":"number node, value=4174","layer":4},{"info":"number node, value=4450","layer":4},{"info":"compute binary expreesion, left_input=4174, right_input=4450, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-276","layer":3},{"info":"compute binary expreesion, left_input=-825609, right_input=-276, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=276","layer":2},{"info":"compute binary expreesion, left_input=541338336, right_input=276, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1482","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=2839, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2398","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=2398, right_input=1003, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2758","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2758, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5094","layer":2},{"info":"compute unary expreesion, input=-5094, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=5578","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5578, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1122212⫡⨏⫏≰1101020↪⪝)⪢(⫏≰21120020⪄⫏≰11121112⊉≛↸(⫏≰12201121-⫏≰20002211))⨵⪆(≤/(⫏≰2000220⨵⪆⫏≰10220011⪨≂⫏≰10021211⩷∴⫏≰1101011))=⫏≰12221","reverse_text":"⫏≰12221=(⫏≰1122212⫡⨏⫏≰1101020↪⪝)⪢(⫏≰21120020⪄⫏≰11121112⊉≛↸(⫏≰12201121-⫏≰20002211))⨵⪆(≤/(⫏≰2000220⨵⪆⫏≰10220011⪨≂⫏≰10021211⩷∴⫏≰1101011))","cot":[{"info":"⫏≰1122212⫡⨏⫏≰1101020=⫏≰110010201","layer":3},{"info":"⫏≰110010201↪⪝=⫏≰1101201121211121000","layer":2},{"info":"⫏≰21120020⪄⫏≰11121112=⫏≰-1112221112010","layer":3},{"info":"⫏≰12201121-⫏≰20002211=⫏≰-101020","layer":3},{"info":"⫏≰-1112221112010⊉≛↸⫏≰-101020=⫏≰101020","layer":2},{"info":"⫏≰1101201121211121000⪢⫏≰101020=NaN","layer":1},{"info":"⫏≰2000220⨵⪆⫏≰10220011=⫏≰12221","layer":3},{"info":"⫏≰10021211⩷∴⫏≰1101011=⫏≰10210011","layer":3},{"info":"⫏≰12221⪨≂⫏≰10210011=⫏≰-20222200","layer":2},{"info":"≤/⫏≰-20222200=⫏≰21122121","layer":1},{"info":"NaN⨵⪆⫏≰21122121=⫏≰12221","layer":0}]}
{"id":977,"expression_no_base_symbol":"⋗⩬⋾(($1446$⫡⨏$7097$)⫸⊐$4148$⊴$1674$⫡⨏($5867$⋝⋈⪟$4115$)⨓($2764$≎⊠⪸$3093$))","expression":"⋗⩬⋾((⫏≰1222120⫡⨏⫏≰100201212)⫸⊐⫏≰12200122⊴⫏≰2022000⫡⨏(⫏≰22001022⋝⋈⪟⫏≰12122102)⨓(⫏≰10210101≎⊠⪸⫏≰11020120))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":718469,"operation_count":8,"complexity_ratio":89808.625,"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":1446,"base":3},"right_expr":{"type":"numeric_atoms","value":7097,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4148,"base":3},"right_expr":{"type":"numeric_atoms","value":1674,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5867,"base":3},"right_expr":{"type":"numeric_atoms","value":4115,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2764,"base":3},"right_expr":{"type":"numeric_atoms","value":3093,"base":3}}}}},"used_operators":["DpFCA1CohY","QMFrweE19q","mqXw5SEYmG","Nsiff2A1zJ","3ViojmjbAp","2DDjHMKMc0","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1446","layer":4},{"info":"number node, value=7097","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=7097, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22207","layer":3},{"info":"number node, value=4148","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=4148, right_input=1674, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=22207, 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=5867","layer":4},{"info":"number node, value=4115","layer":4},{"info":"compute binary expreesion, left_input=5867, right_input=4115, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5867","layer":3},{"info":"number node, value=2764","layer":4},{"info":"number node, value=3093","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=3093, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=715403","layer":3},{"info":"compute binary expreesion, left_input=5867, right_input=715403, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-715406","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-715406, op_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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⋗⩬⋾((⫏≰1222120⫡⨏⫏≰100201212)⫸⊐⫏≰12200122⊴⫏≰2022000⫡⨏(⫏≰22001022⋝⋈⪟⫏≰12122102)⨓(⫏≰10210101≎⊠⪸⫏≰11020120))=NaN","reverse_text":"NaN=⋗⩬⋾((⫏≰1222120⫡⨏⫏≰100201212)⫸⊐⫏≰12200122⊴⫏≰2022000⫡⨏(⫏≰22001022⋝⋈⪟⫏≰12122102)⨓(⫏≰10210101≎⊠⪸⫏≰11020120))","cot":[{"info":"⫏≰1222120⫡⨏⫏≰100201212=⫏≰1010110111","layer":3},{"info":"⫏≰12200122⊴⫏≰2022000=NaN","layer":3},{"info":"⫏≰1010110111⫸⊐NaN=NaN","layer":2},{"info":"⫏≰22001022⋝⋈⪟⫏≰12122102=⫏≰22001022","layer":3},{"info":"⫏≰10210101≎⊠⪸⫏≰11020120=⫏≰1100100100102","layer":3},{"info":"⫏≰22001022⨓⫏≰1100100100102=⫏≰-1100100100112","layer":2},{"info":"NaN⫡⨏⫏≰-1100100100112=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":978,"expression_no_base_symbol":"(⨈⫕$1610$⩚⊴⇥$1264$)⨟⋌⩍(($1922$+$1184$)⨓($1265$⨵⪆$4099$))⋳⪒((↣≠⋷($2644$⨐⩸⫘$1069$))⪐)","expression":"(⨈⫕⫏≰2012122⩚⊴⇥⫏≰1201211)⨟⋌⩍((⫏≰2122012+⫏≰1121212)⨓(⫏≰1201212⨵⪆⫏≰12121211))⋳⪒((↣≠⋷(⫏≰10121221⨐⩸⫘⫏≰1110121))⪐)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1242,"operation_count":10,"complexity_ratio":124.2,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1610,"base":3},"right_expr":{"type":"numeric_atoms","value":1264,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1922,"base":3},"right_expr":{"type":"numeric_atoms","value":1184,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1265,"base":3},"right_expr":{"type":"numeric_atoms","value":4099,"base":3}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2644,"base":3},"right_expr":{"type":"numeric_atoms","value":1069,"base":3}}}}},"used_operators":["12rbrZMWeM","rGHVDoGpnC","megm06wKyl","NTOWxs364D","3ViojmjbAp","W4YGzv6Whe","2DQ55sFlQl","eH2TOUuTDT","Asc51vEJeQ","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1610","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=1264, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2995","layer":3},{"info":"compute unary expreesion, input=-2995, 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=1922","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=1184, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3106","layer":3},{"info":"number node, value=1265","layer":4},{"info":"number node, value=4099","layer":4},{"info":"compute binary expreesion, left_input=1265, right_input=4099, 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=3106, right_input=160, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-163","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-163, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=2644","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=2644, right_input=1069, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨈⫕⫏≰2012122⩚⊴⇥⫏≰1201211)⨟⋌⩍((⫏≰2122012+⫏≰1121212)⨓(⫏≰1201212⨵⪆⫏≰12121211))⋳⪒((↣≠⋷(⫏≰10121221⨐⩸⫘⫏≰1110121))⪐)=NaN","reverse_text":"NaN=(⨈⫕⫏≰2012122⩚⊴⇥⫏≰1201211)⨟⋌⩍((⫏≰2122012+⫏≰1121212)⨓(⫏≰1201212⨵⪆⫏≰12121211))⋳⪒((↣≠⋷(⫏≰10121221⨐⩸⫘⫏≰1110121))⪐)","cot":[{"info":"⫏≰2012122⩚⊴⇥⫏≰1201211=⫏≰-11002221","layer":3},{"info":"⨈⫕⫏≰-11002221=⫏≰-210","layer":2},{"info":"⫏≰2122012+⫏≰1121212=⫏≰11021001","layer":3},{"info":"⫏≰1201212⨵⪆⫏≰12121211=⫏≰12221","layer":3},{"info":"⫏≰11021001⨓⫏≰12221=⫏≰-20001","layer":2},{"info":"⫏≰-210⨟⋌⩍⫏≰-20001=⫏≰0","layer":1},{"info":"⫏≰10121221⨐⩸⫘⫏≰1110121=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⫏≰0⋳⪒NaN=NaN","layer":0}]}
{"id":979,"expression_no_base_symbol":"(↩(≦∁$1080$))⋓(⨰⫟⨤(-$4701$))⋓((⫛⫱⨽(↣≠⋷$1168$))⪄((⫓⪴$6711$)⊉≛↸($5687$⨸⪁$4625$)))","expression":"(↩(≦∁⫏≰1111000))⋓(⨰⫟⨤(-⫏≰20110010))⋓((⫛⫱⨽(↣≠⋷⫏≰1121021))⪄((⫓⪴⫏≰100012120)⊉≛↸(⫏≰21210122⨸⪁⫏≰20100022)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27393,"operation_count":12,"complexity_ratio":2282.75,"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":1080,"base":3}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4701,"base":3}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1168,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6711,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5687,"base":3},"right_expr":{"type":"numeric_atoms","value":4625,"base":3}}}}},"used_operators":["T2fj7uvVaJ","jLgFTUHLKL","9ICcGScMcE","Tw270M8GLb","t8gj7n24qd","SUmda5xLS4","DlLNRPXxWL","Asc51vEJeQ","DZ8iAZOCBD","eLxqMNBOBk","g55IO6H4Gj"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1080","layer":3},{"info":"compute unary expreesion, input=1080, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5860","layer":2},{"info":"number node, value=4701","layer":4},{"info":"compute unary expreesion, input=4701, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4701","layer":3},{"info":"compute unary expreesion, input=-4701, 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=-5860, 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=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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=6711","layer":4},{"info":"compute unary expreesion, input=6711, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=45037521","layer":3},{"info":"number node, value=5687","layer":4},{"info":"number node, value=4625","layer":4},{"info":"compute binary expreesion, left_input=5687, right_input=4625, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20624","layer":3},{"info":"compute binary expreesion, left_input=45037521, right_input=20624, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=90075042","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=90075042, 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 = T2fj7uvVaJ 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":3,"result_base":3,"text":"(↩(≦∁⫏≰1111000))⋓(⨰⫟⨤(-⫏≰20110010))⋓((⫛⫱⨽(↣≠⋷⫏≰1121021))⪄((⫓⪴⫏≰100012120)⊉≛↸(⫏≰21210122⨸⪁⫏≰20100022)))=⫏≰0","reverse_text":"⫏≰0=(↩(≦∁⫏≰1111000))⋓(⨰⫟⨤(-⫏≰20110010))⋓((⫛⫱⨽(↣≠⋷⫏≰1121021))⪄((⫓⪴⫏≰100012120)⊉≛↸(⫏≰21210122⨸⪁⫏≰20100022)))","cot":[{"info":"≦∁⫏≰1111000=⫏≰1111000","layer":3},{"info":"↩⫏≰1111000=⫏≰-22001001","layer":2},{"info":"-⫏≰20110010=⫏≰-20110010","layer":3},{"info":"⨰⫟⨤⫏≰-20110010=NaN","layer":2},{"info":"⫏≰-22001001⋓NaN=NaN","layer":1},{"info":"↣≠⋷⫏≰1121021=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⫓⪴⫏≰100012120=⫏≰10010202010212100","layer":3},{"info":"⫏≰21210122⨸⪁⫏≰20100022=⫏≰1001021212","layer":3},{"info":"⫏≰10010202010212100⊉≛↸⫏≰1001021212=⫏≰20021111021201200","layer":2},{"info":"NaN⪄⫏≰20021111021201200=⫏≰12110101","layer":1},{"info":"NaN⋓⫏≰12110101=⫏≰0","layer":0}]}
{"id":980,"expression_no_base_symbol":"($6937$↬$3161$⨰($6131$⨐⩸⫘$1081$))⨓(⨈⫕$2726$⨎$7474$)⫌⩹⨱","expression":"(⫏≰100111221↬⫏≰11100002⨰(⫏≰22102002⨐⩸⫘⫏≰1111001))⨓(⨈⫕⫏≰10201222⨎⫏≰101020211)⫌⩹⨱","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":429,"operation_count":7,"complexity_ratio":61.285714285714285,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6937,"base":3},"right_expr":{"type":"numeric_atoms","value":3161,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6131,"base":3},"right_expr":{"type":"numeric_atoms","value":1081,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2726,"base":3},"right_expr":{"type":"numeric_atoms","value":7474,"base":3}}}}},"used_operators":["EBcxylXtPf","3ViojmjbAp","eewbuw0ToL","B5M0gjZbta","fu6greOZ01","megm06wKyl","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫏≰1212010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6937","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=6937, right_input=3161, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6131","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=6131, right_input=1081, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2726","layer":4},{"info":"number node, value=7474","layer":4},{"info":"compute binary expreesion, left_input=2726, right_input=7474, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7474","layer":3},{"info":"compute unary expreesion, input=7474, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-24","layer":1},{"info":"compute unary expreesion, input=-24, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1353","layer":0}],"base":3,"result_base":3,"text":"(⫏≰100111221↬⫏≰11100002⨰(⫏≰22102002⨐⩸⫘⫏≰1111001))⨓(⨈⫕⫏≰10201222⨎⫏≰101020211)⫌⩹⨱=⫏≰1212010","reverse_text":"⫏≰1212010=(⫏≰100111221↬⫏≰11100002⨰(⫏≰22102002⨐⩸⫘⫏≰1111001))⨓(⨈⫕⫏≰10201222⨎⫏≰101020211)⫌⩹⨱","cot":[{"info":"⫏≰100111221↬⫏≰11100002=NaN","layer":3},{"info":"⫏≰22102002⨐⩸⫘⫏≰1111001=NaN","layer":3},{"info":"NaN⨰NaN=NaN","layer":2},{"info":"⫏≰10201222⨎⫏≰101020211=⫏≰101020211","layer":3},{"info":"⨈⫕⫏≰101020211=⫏≰-210","layer":2},{"info":"NaN⨓⫏≰-210=⫏≰-220","layer":1},{"info":"⫏≰-220⫌⩹⨱=⫏≰1212010","layer":0}]}
{"id":981,"expression_no_base_symbol":"(($1006$↙$6612$⇼⇔∾$1231$↬$7300$)≫≃)⪘⫢(($3975$⩤)∼($7230$⋫)⨓(⨑⩽⪐(↣≠⋷$4590$)))","expression":"((⫏≰1101021↙⫏≰100001220⇼⇔∾⫏≰1200121↬⫏≰101000101)≫≃)⪘⫢((⫏≰12110020⩤)∼(⫏≰100220210⋫)⨓(⨑⩽⪐(↣≠⋷⫏≰20022000)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13961,"operation_count":11,"complexity_ratio":1269.1818181818182,"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":1006,"base":3},"right_expr":{"type":"numeric_atoms","value":6612,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1231,"base":3},"right_expr":{"type":"numeric_atoms","value":7300,"base":3}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3975,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":7230,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4590,"base":3}}}}},"used_operators":["oacrs7FA3X","X99M06cbEe","tifHPKVTfV","yyfyN0ffXY","B5M0gjZbta","3ViojmjbAp","DyGG3AbaNP","Z2TMIBDE3Q","JL8yIekQnl","AF7qkfDlqP","Asc51vEJeQ"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"number node, value=6612","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=6612, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19836","layer":3},{"info":"number node, value=1231","layer":4},{"info":"number node, value=7300","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=7300, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-19836, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"number node, value=3975","layer":4},{"info":"compute unary expreesion, input=3975, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3975","layer":3},{"info":"number node, value=7230","layer":4},{"info":"compute unary expreesion, input=7230, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7230","layer":3},{"info":"compute binary expreesion, left_input=-3975, right_input=7230, 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=4590","layer":4},{"info":"compute unary expreesion, input=4590, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/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=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 = 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":3,"result_base":3,"text":"((⫏≰1101021↙⫏≰100001220⇼⇔∾⫏≰1200121↬⫏≰101000101)≫≃)⪘⫢((⫏≰12110020⩤)∼(⫏≰100220210⋫)⨓(⨑⩽⪐(↣≠⋷⫏≰20022000)))=NaN","reverse_text":"NaN=((⫏≰1101021↙⫏≰100001220⇼⇔∾⫏≰1200121↬⫏≰101000101)≫≃)⪘⫢((⫏≰12110020⩤)∼(⫏≰100220210⋫)⨓(⨑⩽⪐(↣≠⋷⫏≰20022000)))","cot":[{"info":"⫏≰1101021↙⫏≰100001220=⫏≰-1000012200","layer":3},{"info":"⫏≰1200121↬⫏≰101000101=NaN","layer":3},{"info":"⫏≰-1000012200⇼⇔∾NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⫏≰12110020⩤=⫏≰-12110020","layer":3},{"info":"⫏≰100220210⋫=⫏≰100220210","layer":3},{"info":"⫏≰-12110020∼⫏≰100220210=NaN","layer":2},{"info":"↣≠⋷⫏≰20022000=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":982,"expression_no_base_symbol":"(($2568$/$1568$)+⇶⊼(⫛⫱⨽$1525$)↙((⪝⪂⫅$4388$)⇋≉))⋳⪒(($1734$⊉≛↸$2451$)+⇶⊼($3424$⪒$2577$)⪨≂(⫓⪴$2051$)-($6283$⫡⨏$1870$))","expression":"((⫏≰10112010/⫏≰2011002)+⇶⊼(⫛⫱⨽⫏≰2002111)↙((⪝⪂⫅⫏≰20000112)⇋≉))⋳⪒((⫏≰2101020⊉≛↸⫏≰10100210)+⇶⊼(⫏≰11200211⪒⫏≰10112110)⪨≂(⫓⪴⫏≰2210222)-(⫏≰22121201⫡⨏⫏≰2120021))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3655,"operation_count":14,"complexity_ratio":261.07142857142856,"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":2568,"base":3},"right_expr":{"type":"numeric_atoms","value":1568,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1525,"base":3}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4388,"base":3}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1734,"base":3},"right_expr":{"type":"numeric_atoms","value":2451,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3424,"base":3},"right_expr":{"type":"numeric_atoms","value":2577,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2051,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6283,"base":3},"right_expr":{"type":"numeric_atoms","value":1870,"base":3}}}}},"used_operators":["12rbrZMWeM","yyfyN0ffXY","TpPTUOHfaN","XhwjNDsVaA","DlLNRPXxWL","XIabStNQrY","XTarYq4gQB","sdazOOVcIp","DZ8iAZOCBD","f6k1SAg4EE","rysDP5nf3Z","eLxqMNBOBk","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2568","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=1568, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1525","layer":4},{"info":"compute unary expreesion, input=1525, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1, 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=4388","layer":4},{"info":"compute unary expreesion, input=4388, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-645036","layer":3},{"info":"compute unary expreesion, input=-645036, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-1290170","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1290170, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"number node, value=1734","layer":4},{"info":"number node, value=2451","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=2451, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3468","layer":3},{"info":"number node, value=3424","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=3424, right_input=2577, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6001","layer":3},{"info":"compute binary expreesion, left_input=3468, right_input=-6001, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2051","layer":4},{"info":"compute unary expreesion, input=2051, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4206601","layer":3},{"info":"number node, value=6283","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=6283, right_input=1870, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=35938","layer":3},{"info":"compute binary expreesion, left_input=4206601, right_input=35938, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4170663","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4170663, op_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=0, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10112010/⫏≰2011002)+⇶⊼(⫛⫱⨽⫏≰2002111)↙((⪝⪂⫅⫏≰20000112)⇋≉))⋳⪒((⫏≰2101020⊉≛↸⫏≰10100210)+⇶⊼(⫏≰11200211⪒⫏≰10112110)⪨≂(⫓⪴⫏≰2210222)-(⫏≰22121201⫡⨏⫏≰2120021))=NaN","reverse_text":"NaN=((⫏≰10112010/⫏≰2011002)+⇶⊼(⫛⫱⨽⫏≰2002111)↙((⪝⪂⫅⫏≰20000112)⇋≉))⋳⪒((⫏≰2101020⊉≛↸⫏≰10100210)+⇶⊼(⫏≰11200211⪒⫏≰10112110)⪨≂(⫓⪴⫏≰2210222)-(⫏≰22121201⫡⨏⫏≰2120021))","cot":[{"info":"⫏≰10112010/⫏≰2011002=⫏≰1","layer":3},{"info":"⫛⫱⨽⫏≰2002111=⫏≰0","layer":3},{"info":"⫏≰1+⇶⊼⫏≰0=⫏≰0","layer":2},{"info":"⪝⪂⫅⫏≰20000112=⫏≰-1012202211020","layer":3},{"info":"⫏≰-1012202211020⇋≉=⫏≰-2102112210002","layer":2},{"info":"⫏≰0↙⫏≰-2102112210002=⫏≰0","layer":1},{"info":"⫏≰2101020⊉≛↸⫏≰10100210=⫏≰11202110","layer":3},{"info":"⫏≰11200211⪒⫏≰10112110=⫏≰-22020021","layer":3},{"info":"⫏≰11202110+⇶⊼⫏≰-22020021=NaN","layer":2},{"info":"⫓⪴⫏≰2210222=⫏≰21220201101001","layer":3},{"info":"⫏≰22121201⫡⨏⫏≰2120021=⫏≰1211022001","layer":3},{"info":"⫏≰21220201101001-⫏≰1211022001=⫏≰21211220002000","layer":2},{"info":"NaN⪨≂⫏≰21211220002000=NaN","layer":1},{"info":"⫏≰0⋳⪒NaN=NaN","layer":0}]}
{"id":983,"expression_no_base_symbol":"($3511$⊉≛↸$4841$)⪢($3201$-$1891$)⨸⪁($3318$⪄$3559$)∀⇚≩($2574$⪄$1647$)⨸⪁(↣≠⋷($2311$⋷$1262$))⨟⋌⩍($5074$↙$5734$-$1628$⨪↰⇹$3250$)","expression":"(⫏≰11211001⊉≛↸⫏≰20122022)⪢(⫏≰11101120-⫏≰2121001)⨸⪁(⫏≰11112220⪄⫏≰11212211)∀⇚≩(⫏≰10112100⪄⫏≰2021000)⨸⪁(↣≠⋷(⫏≰10011121⋷⫏≰1201202))⨟⋌⩍(⫏≰20221221↙⫏≰21212101-⫏≰2020022⨪↰⇹⫏≰11110101)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3567927,"operation_count":14,"complexity_ratio":254851.92857142858,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3511,"base":3},"right_expr":{"type":"numeric_atoms","value":4841,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3201,"base":3},"right_expr":{"type":"numeric_atoms","value":1891,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3318,"base":3},"right_expr":{"type":"numeric_atoms","value":3559,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2574,"base":3},"right_expr":{"type":"numeric_atoms","value":1647,"base":3}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2311,"base":3},"right_expr":{"type":"numeric_atoms","value":1262,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5074,"base":3},"right_expr":{"type":"numeric_atoms","value":5734,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1628,"base":3},"right_expr":{"type":"numeric_atoms","value":3250,"base":3}}}}},"used_operators":["g55IO6H4Gj","dWAJyo7jo9","DZ8iAZOCBD","rysDP5nf3Z","LRNGc0VcxI","SUmda5xLS4","rGHVDoGpnC","Asc51vEJeQ","23Mk6UjR3U","yyfyN0ffXY","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3511","layer":4},{"info":"number node, value=4841","layer":4},{"info":"compute binary expreesion, left_input=3511, right_input=4841, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7022","layer":3},{"info":"number node, value=3201","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=1891, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1310","layer":3},{"info":"compute binary expreesion, left_input=7022, right_input=1310, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3318","layer":4},{"info":"number node, value=3559","layer":4},{"info":"compute binary expreesion, left_input=3318, right_input=3559, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-501389","layer":3},{"info":"number node, value=2574","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=1647, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-383629","layer":3},{"info":"compute binary expreesion, left_input=-501389, right_input=-383629, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=2311","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=1262, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=213","layer":3},{"info":"compute unary expreesion, input=213, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=5074","layer":4},{"info":"number node, value=5734","layer":4},{"info":"compute binary expreesion, left_input=5074, right_input=5734, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17202","layer":3},{"info":"number node, value=1628","layer":4},{"info":"number node, value=3250","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=3250, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1628","layer":3},{"info":"compute binary expreesion, left_input=-17202, right_input=1628, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-18830","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-18830, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11211001⊉≛↸⫏≰20122022)⪢(⫏≰11101120-⫏≰2121001)⨸⪁(⫏≰11112220⪄⫏≰11212211)∀⇚≩(⫏≰10112100⪄⫏≰2021000)⨸⪁(↣≠⋷(⫏≰10011121⋷⫏≰1201202))⨟⋌⩍(⫏≰20221221↙⫏≰21212101-⫏≰2020022⨪↰⇹⫏≰11110101)=NaN","reverse_text":"NaN=(⫏≰11211001⊉≛↸⫏≰20122022)⪢(⫏≰11101120-⫏≰2121001)⨸⪁(⫏≰11112220⪄⫏≰11212211)∀⇚≩(⫏≰10112100⪄⫏≰2021000)⨸⪁(↣≠⋷(⫏≰10011121⋷⫏≰1201202))⨟⋌⩍(⫏≰20221221↙⫏≰21212101-⫏≰2020022⨪↰⇹⫏≰11110101)","cot":[{"info":"⫏≰11211001⊉≛↸⫏≰20122022=⫏≰100122002","layer":3},{"info":"⫏≰11101120-⫏≰2121001=⫏≰1210112","layer":3},{"info":"⫏≰100122002⪢⫏≰1210112=NaN","layer":2},{"info":"⫏≰11112220⪄⫏≰11212211=⫏≰-221110202222","layer":3},{"info":"⫏≰10112100⪄⫏≰2021000=⫏≰-201111020111","layer":3},{"info":"⫏≰-221110202222∀⇚≩⫏≰-201111020111=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⫏≰10011121⋷⫏≰1201202=⫏≰21220","layer":3},{"info":"↣≠⋷⫏≰21220=NaN","layer":2},{"info":"⫏≰20221221↙⫏≰21212101=⫏≰-212121010","layer":3},{"info":"⫏≰2020022⨪↰⇹⫏≰11110101=⫏≰2020022","layer":3},{"info":"⫏≰-212121010-⫏≰2020022=⫏≰-221211102","layer":2},{"info":"NaN⨟⋌⩍⫏≰-221211102=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":984,"expression_no_base_symbol":"((↥$4619$∀⇚≩$3849$)⨽($1287$⫡⨏$8730$⪨≂($3498$+$6367$)))⨓((⊄⩳↩($6696$⋷$2739$))⪄($2314$⋷$3910$)⪛($3011$⪘⫢$1106$))","expression":"((↥⫏≰20100002∀⇚≩⫏≰12021120)⨽(⫏≰1202200⫡⨏⫏≰102222100⪨≂(⫏≰11210120+⫏≰22201211)))⨓((⊄⩳↩(⫏≰100012000⋷⫏≰10202110))⪄(⫏≰10011201⋷⫏≰12100211)⪛(⫏≰11010112⪘⫢⫏≰1111222))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":591391,"operation_count":13,"complexity_ratio":45491.61538461538,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4619,"base":3},"right_expr":{"type":"numeric_atoms","value":3849,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1287,"base":3},"right_expr":{"type":"numeric_atoms","value":8730,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3498,"base":3},"right_expr":{"type":"numeric_atoms","value":6367,"base":3}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6696,"base":3},"right_expr":{"type":"numeric_atoms","value":2739,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2314,"base":3},"right_expr":{"type":"numeric_atoms","value":3910,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3011,"base":3},"right_expr":{"type":"numeric_atoms","value":1106,"base":3}}}}},"used_operators":["3ViojmjbAp","8HhzD0ZcuI","A8NUZmVepG","LRNGc0VcxI","sdazOOVcIp","QMFrweE19q","W4YGzv6Whe","SUmda5xLS4","8w2t5hMYqp","23Mk6UjR3U","uFcxV4UQCh","oacrs7FA3X"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","k8jYdgA6NY","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫏≰-1001101200022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4619","layer":4},{"info":"number node, value=3849","layer":4},{"info":"compute binary expreesion, left_input=4619, right_input=3849, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"number node, value=1287","layer":4},{"info":"number node, value=8730","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=8730, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24678","layer":3},{"info":"number node, value=3498","layer":4},{"info":"number node, value=6367","layer":4},{"info":"compute binary expreesion, left_input=3498, right_input=6367, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9865","layer":3},{"info":"compute binary expreesion, left_input=24678, right_input=9865, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=29728","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=29728, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=6696","layer":4},{"info":"number node, value=2739","layer":4},{"info":"compute binary expreesion, left_input=6696, right_input=2739, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1218","layer":3},{"info":"compute unary expreesion, input=-1218, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=3654","layer":2},{"info":"number node, value=2314","layer":4},{"info":"number node, value=3910","layer":4},{"info":"compute binary expreesion, left_input=2314, right_input=3910, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5506","layer":3},{"info":"number node, value=3011","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=3011, right_input=1106, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5898","layer":3},{"info":"compute binary expreesion, left_input=5506, right_input=5898, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5506","layer":2},{"info":"compute binary expreesion, left_input=3654, right_input=5506, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-558905","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-558905, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-558908","layer":0}],"base":3,"result_base":3,"text":"((↥⫏≰20100002∀⇚≩⫏≰12021120)⨽(⫏≰1202200⫡⨏⫏≰102222100⪨≂(⫏≰11210120+⫏≰22201211)))⨓((⊄⩳↩(⫏≰100012000⋷⫏≰10202110))⪄(⫏≰10011201⋷⫏≰12100211)⪛(⫏≰11010112⪘⫢⫏≰1111222))=⫏≰-1001101200022","reverse_text":"⫏≰-1001101200022=((↥⫏≰20100002∀⇚≩⫏≰12021120)⨽(⫏≰1202200⫡⨏⫏≰102222100⪨≂(⫏≰11210120+⫏≰22201211)))⨓((⊄⩳↩(⫏≰100012000⋷⫏≰10202110))⪄(⫏≰10011201⋷⫏≰12100211)⪛(⫏≰11010112⪘⫢⫏≰1111222))","cot":[{"info":"⫏≰20100002∀⇚≩⫏≰12021120=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⫏≰1202200⫡⨏⫏≰102222100=⫏≰1020212000","layer":3},{"info":"⫏≰11210120+⫏≰22201211=⫏≰111112101","layer":3},{"info":"⫏≰1020212000⪨≂⫏≰111112101=⫏≰1111210001","layer":2},{"info":"NaN⨽⫏≰1111210001=NaN","layer":1},{"info":"⫏≰100012000⋷⫏≰10202110=⫏≰-1200010","layer":3},{"info":"⊄⩳↩⫏≰-1200010=⫏≰12000100","layer":2},{"info":"⫏≰10011201⋷⫏≰12100211=⫏≰21112221","layer":3},{"info":"⫏≰11010112⪘⫢⫏≰1111222=⫏≰22002110","layer":3},{"info":"⫏≰21112221⪛⫏≰22002110=⫏≰21112221","layer":2},{"info":"⫏≰12000100⪄⫏≰21112221=⫏≰-1001101200012","layer":1},{"info":"NaN⨓⫏≰-1001101200012=⫏≰-1001101200022","layer":0}]}
{"id":985,"expression_no_base_symbol":"+⊝⨔(($2946$↺$4931$⋷($1492$∧))∲⫓($1436$+⇶⊼$1469$↛⩡⫤))","expression":"+⊝⨔((⫏≰11001010↺⫏≰20202122⋷(⫏≰2001021∧))∲⫓(⫏≰1222012+⇶⊼⫏≰2000102↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":97,"operation_count":7,"complexity_ratio":13.857142857142858,"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":2946,"base":3},"right_expr":{"type":"numeric_atoms","value":4931,"base":3}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1492,"base":3}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1436,"base":3},"right_expr":{"type":"numeric_atoms","value":1469,"base":3}}}}},"used_operators":["DhbWaqg5eL","i8ToyICDmI","23Mk6UjR3U","7j4O788W3g","z63VuFQld9","FU0Cs4j7VP","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2946","layer":4},{"info":"number node, value=4931","layer":4},{"info":"compute binary expreesion, left_input=2946, right_input=4931, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4931","layer":3},{"info":"number node, value=1492","layer":4},{"info":"compute unary expreesion, input=1492, 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=4931, 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=1436","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=1469, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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=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 = 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":3,"result_base":3,"text":"+⊝⨔((⫏≰11001010↺⫏≰20202122⋷(⫏≰2001021∧))∲⫓(⫏≰1222012+⇶⊼⫏≰2000102↛⩡⫤))=⫏≰2002101","reverse_text":"⫏≰2002101=+⊝⨔((⫏≰11001010↺⫏≰20202122⋷(⫏≰2001021∧))∲⫓(⫏≰1222012+⇶⊼⫏≰2000102↛⩡⫤))","cot":[{"info":"⫏≰11001010↺⫏≰20202122=⫏≰20202122","layer":3},{"info":"⫏≰2001021∧=NaN","layer":3},{"info":"⫏≰20202122⋷NaN=NaN","layer":2},{"info":"⫏≰1222012+⇶⊼⫏≰2000102=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⫏≰2002101","layer":0}]}
{"id":986,"expression_no_base_symbol":"((↥($1788$⪐))↛⩡⫤)⩷∴($2713$⪛$5533$⨽($3759$⪠⩆⊳)⪐)","expression":"((↥(⫏≰2110020⪐))↛⩡⫤)⩷∴(⫏≰10201111⪛⫏≰21120221⨽(⫏≰12011020⪠⩆⊳)⪐)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2898,"operation_count":8,"complexity_ratio":362.25,"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":1788,"base":3}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2713,"base":3},"right_expr":{"type":"numeric_atoms","value":5533,"base":3}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3759,"base":3}}}}},"used_operators":["9FxExcQeMw","FU0Cs4j7VP","A8NUZmVepG","eH2TOUuTDT","8HhzD0ZcuI","uFcxV4UQCh","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰20011012002002201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1788","layer":4},{"info":"compute unary expreesion, input=1788, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3576","layer":3},{"info":"compute unary expreesion, input=3576, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":2},{"info":"compute unary expreesion, input=6, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=6","layer":1},{"info":"number node, value=2713","layer":4},{"info":"number node, value=5533","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=5533, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2713","layer":3},{"info":"number node, value=3759","layer":4},{"info":"compute unary expreesion, input=3759, 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=2713, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-22079793","layer":2},{"info":"compute unary expreesion, input=-22079793, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-44159586","layer":1},{"info":"compute binary expreesion, left_input=6, right_input=-44159586, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=88319152","layer":0}],"base":3,"result_base":3,"text":"((↥(⫏≰2110020⪐))↛⩡⫤)⩷∴(⫏≰10201111⪛⫏≰21120221⨽(⫏≰12011020⪠⩆⊳)⪐)=⫏≰20011012002002201","reverse_text":"⫏≰20011012002002201=((↥(⫏≰2110020⪐))↛⩡⫤)⩷∴(⫏≰10201111⪛⫏≰21120221⨽(⫏≰12011020⪠⩆⊳)⪐)","cot":[{"info":"⫏≰2110020⪐=⫏≰11220110","layer":3},{"info":"↥⫏≰11220110=⫏≰20","layer":2},{"info":"⫏≰20↛⩡⫤=⫏≰20","layer":1},{"info":"⫏≰10201111⪛⫏≰21120221=⫏≰10201111","layer":3},{"info":"⫏≰12011020⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰10201111⨽⫏≰0=⫏≰-1112112202210010","layer":2},{"info":"⫏≰-1112112202210010⪐=⫏≰-10002002112120020","layer":1},{"info":"⫏≰20⩷∴⫏≰-10002002112120020=⫏≰20011012002002201","layer":0}]}
{"id":987,"expression_no_base_symbol":"((($2100$⨵⪆$1592$)⫥∨⫟(⫛⫱⨽$2733$))⊴(($2274$%$3663$)∼$2606$⪮%⊝$9004$))≹⇙⪍((≤/($1407$⋷$4337$))≦≮≮)","expression":"(((⫏≰2212210⨵⪆⫏≰2011222)⫥∨⫟(⫛⫱⨽⫏≰10202020))⊴((⫏≰10010020%⫏≰12000200)∼⫏≰10120112⪮%⊝⫏≰110100111))≹⇙⪍((≤/(⫏≰1221010⋷⫏≰12221122))≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1648,"operation_count":11,"complexity_ratio":149.8181818181818,"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":2100,"base":3},"right_expr":{"type":"numeric_atoms","value":1592,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2733,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2274,"base":3},"right_expr":{"type":"numeric_atoms","value":3663,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2606,"base":3},"right_expr":{"type":"numeric_atoms","value":9004,"base":3}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1407,"base":3},"right_expr":{"type":"numeric_atoms","value":4337,"base":3}}}}},"used_operators":["AHs5Up7iyr","Nsiff2A1zJ","KYD54nUTWz","2DQ55sFlQl","DlLNRPXxWL","DyGG3AbaNP","k8jYdgA6NY","IWmyXbctLI","D4vGDi5EA2","eLAdDNolq6","23Mk6UjR3U"],"dependent_operators":["dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2100","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=2100, right_input=1592, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2733","layer":4},{"info":"compute unary expreesion, input=2733, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2274","layer":4},{"info":"number node, value=3663","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=3663, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2274","layer":3},{"info":"number node, value=2606","layer":4},{"info":"number node, value=9004","layer":4},{"info":"compute binary expreesion, left_input=2606, right_input=9004, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5528","layer":3},{"info":"compute binary expreesion, left_input=2274, right_input=5528, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1407","layer":4},{"info":"number node, value=4337","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=4337, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7267","layer":3},{"info":"compute unary expreesion, input=7267, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6783","layer":2},{"info":"compute unary expreesion, input=-6783, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=20349","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20349, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"(((⫏≰2212210⨵⪆⫏≰2011222)⫥∨⫟(⫛⫱⨽⫏≰10202020))⊴((⫏≰10010020%⫏≰12000200)∼⫏≰10120112⪮%⊝⫏≰110100111))≹⇙⪍((≤/(⫏≰1221010⋷⫏≰12221122))≦≮≮)=NaN","reverse_text":"NaN=(((⫏≰2212210⨵⪆⫏≰2011222)⫥∨⫟(⫛⫱⨽⫏≰10202020))⊴((⫏≰10010020%⫏≰12000200)∼⫏≰10120112⪮%⊝⫏≰110100111))≹⇙⪍((≤/(⫏≰1221010⋷⫏≰12221122))≦≮≮)","cot":[{"info":"⫏≰2212210⨵⪆⫏≰2011222=⫏≰12221","layer":3},{"info":"⫛⫱⨽⫏≰10202020=⫏≰0","layer":3},{"info":"⫏≰12221⫥∨⫟⫏≰0=NaN","layer":2},{"info":"⫏≰10010020%⫏≰12000200=⫏≰10010020","layer":3},{"info":"⫏≰10120112⪮%⊝⫏≰110100111=⫏≰21120202","layer":3},{"info":"⫏≰10010020∼⫏≰21120202=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"⫏≰1221010⋷⫏≰12221122=⫏≰100222011","layer":3},{"info":"≤/⫏≰100222011=⫏≰-100022020","layer":2},{"info":"⫏≰-100022020≦≮≮=⫏≰1000220200","layer":1},{"info":"NaN≹⇙⪍⫏≰1000220200=NaN","layer":0}]}
{"id":988,"expression_no_base_symbol":"(($1891$↛⩡⫤)⇷($4693$⨰$1246$)↪⪝)≦≮≮","expression":"((⫏≰2121001↛⩡⫤)⇷(⫏≰20102211⨰⫏≰1201011)↪⪝)≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3949342,"operation_count":5,"complexity_ratio":789868.4,"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":1891,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4693,"base":3},"right_expr":{"type":"numeric_atoms","value":1246,"base":3}}}}},"used_operators":["D4vGDi5EA2","l07mrZUIn9","mp7IySMOzn","FU0Cs4j7VP","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-10021102220202120000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1891","layer":4},{"info":"compute unary expreesion, input=1891, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-281630","layer":3},{"info":"number node, value=4693","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=4693, right_input=1246, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3457","layer":3},{"info":"compute binary expreesion, left_input=-281630, right_input=3457, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6914","layer":2},{"info":"compute unary expreesion, input=6914, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=423012348","layer":1},{"info":"compute unary expreesion, input=423012348, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-1269037044","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2121001↛⩡⫤)⇷(⫏≰20102211⨰⫏≰1201011)↪⪝)≦≮≮=⫏≰-10021102220202120000","reverse_text":"⫏≰-10021102220202120000=((⫏≰2121001↛⩡⫤)⇷(⫏≰20102211⨰⫏≰1201011)↪⪝)≦≮≮","cot":[{"info":"⫏≰2121001↛⩡⫤=⫏≰-112022022202","layer":3},{"info":"⫏≰20102211⨰⫏≰1201011=⫏≰11202001","layer":3},{"info":"⫏≰-112022022202⇷⫏≰11202001=⫏≰100111002","layer":2},{"info":"⫏≰100111002↪⪝=⫏≰1002110222020212000","layer":1},{"info":"⫏≰1002110222020212000≦≮≮=⫏≰-10021102220202120000","layer":0}]}
{"id":989,"expression_no_base_symbol":"($2389$⊴$2181$⪛$1937$⨟⋌⩍$1879$⨸⪁(⨑⩽⪐($3692$-$4105$)))⨓(⨞⊢((⫓⪴$4734$)↺($1416$⋷$1589$)))","expression":"(⫏≰10021111⊴⫏≰2222210⪛⫏≰2122202⨟⋌⩍⫏≰2120121⨸⪁(⨑⩽⪐(⫏≰12001202-⫏≰12122001)))⨓(⨞⊢((⫓⪴⫏≰20111100)↺(⫏≰1221110⋷⫏≰2011212)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12620,"operation_count":11,"complexity_ratio":1147.2727272727273,"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":2389,"base":3},"right_expr":{"type":"numeric_atoms","value":2181,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1937,"base":3},"right_expr":{"type":"numeric_atoms","value":1879,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3692,"base":3},"right_expr":{"type":"numeric_atoms","value":4105,"base":3}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4734,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1416,"base":3},"right_expr":{"type":"numeric_atoms","value":1589,"base":3}}}}},"used_operators":["3ViojmjbAp","g55IO6H4Gj","uFcxV4UQCh","Nsiff2A1zJ","rGHVDoGpnC","AF7qkfDlqP","rysDP5nf3Z","xUOZtlo3hN","7j4O788W3g","eLxqMNBOBk","23Mk6UjR3U"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2122121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2389","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=2181, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1937","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=1879, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=3692","layer":4},{"info":"number node, value=4105","layer":4},{"info":"compute binary expreesion, left_input=3692, right_input=4105, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-413","layer":3},{"info":"compute unary expreesion, input=-413, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=1615","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1615, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=4734","layer":4},{"info":"compute unary expreesion, input=4734, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=22410756","layer":3},{"info":"number node, value=1416","layer":4},{"info":"number node, value=1589","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=1589, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1762","layer":3},{"info":"compute binary expreesion, left_input=22410756, right_input=1762, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1762","layer":2},{"info":"compute unary expreesion, input=1762, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1936","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1936, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=1933","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10021111⊴⫏≰2222210⪛⫏≰2122202⨟⋌⩍⫏≰2120121⨸⪁(⨑⩽⪐(⫏≰12001202-⫏≰12122001)))⨓(⨞⊢((⫓⪴⫏≰20111100)↺(⫏≰1221110⋷⫏≰2011212)))=⫏≰2122121","reverse_text":"⫏≰2122121=(⫏≰10021111⊴⫏≰2222210⪛⫏≰2122202⨟⋌⩍⫏≰2120121⨸⪁(⨑⩽⪐(⫏≰12001202-⫏≰12122001)))⨓(⨞⊢((⫓⪴⫏≰20111100)↺(⫏≰1221110⋷⫏≰2011212)))","cot":[{"info":"⫏≰10021111⊴⫏≰2222210=NaN","layer":3},{"info":"⫏≰2122202⨟⋌⩍⫏≰2120121=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"⫏≰12001202-⫏≰12122001=⫏≰-120022","layer":3},{"info":"⨑⩽⪐⫏≰-120022=⫏≰2012211","layer":2},{"info":"NaN⨸⪁⫏≰2012211=NaN","layer":1},{"info":"⫓⪴⫏≰20111100=⫏≰1120011120210000","layer":3},{"info":"⫏≰1221110⋷⫏≰2011212=⫏≰2102021","layer":3},{"info":"⫏≰1120011120210000↺⫏≰2102021=⫏≰2102021","layer":2},{"info":"⨞⊢⫏≰2102021=⫏≰-2122201","layer":1},{"info":"NaN⨓⫏≰-2122201=⫏≰2122121","layer":0}]}
{"id":990,"expression_no_base_symbol":"(↔($4193$∼$4226$⩷∴($4303$⩷∴$2817$)))⪮%⊝(($1197$↪⪝)⇷$2008$↬$2744$≭(↣≠⋷($3137$⩨$1118$)))","expression":"(↔(⫏≰12202022∼⫏≰12210112⩷∴(⫏≰12220101⩷∴⫏≰10212100)))⪮%⊝((⫏≰1122100↪⪝)⇷⫏≰2202101↬⫏≰10202122≭(↣≠⋷(⫏≰11022012⩨⫏≰1112102)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":843,"operation_count":11,"complexity_ratio":76.63636363636364,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4193,"base":3},"right_expr":{"type":"numeric_atoms","value":4226,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4303,"base":3},"right_expr":{"type":"numeric_atoms","value":2817,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1197,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2008,"base":3},"right_expr":{"type":"numeric_atoms","value":2744,"base":3}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3137,"base":3},"right_expr":{"type":"numeric_atoms","value":1118,"base":3}}}}},"used_operators":["IWmyXbctLI","ruOEQAzv1W","9FxExcQeMw","DyGG3AbaNP","rxpJgHHUmx","mp7IySMOzn","l07mrZUIn9","B5M0gjZbta","Asc51vEJeQ","2DlMacCsIx"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4193","layer":4},{"info":"number node, value=4226","layer":4},{"info":"compute binary expreesion, left_input=4193, right_input=4226, 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=4303","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=4303, right_input=2817, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2940","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2940, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=1197","layer":4},{"info":"compute unary expreesion, input=1197, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=73234854","layer":3},{"info":"number node, value=2008","layer":4},{"info":"number node, value=2744","layer":4},{"info":"compute binary expreesion, left_input=2008, right_input=2744, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=73234854, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=3137","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=3137, right_input=1118, 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 = 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-134, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↔(⫏≰12202022∼⫏≰12210112⩷∴(⫏≰12220101⩷∴⫏≰10212100)))⪮%⊝((⫏≰1122100↪⪝)⇷⫏≰2202101↬⫏≰10202122≭(↣≠⋷(⫏≰11022012⩨⫏≰1112102)))=NaN","reverse_text":"NaN=(↔(⫏≰12202022∼⫏≰12210112⩷∴(⫏≰12220101⩷∴⫏≰10212100)))⪮%⊝((⫏≰1122100↪⪝)⇷⫏≰2202101↬⫏≰10202122≭(↣≠⋷(⫏≰11022012⩨⫏≰1112102)))","cot":[{"info":"⫏≰12202022∼⫏≰12210112=NaN","layer":3},{"info":"⫏≰12220101⩷∴⫏≰10212100=⫏≰11000220","layer":3},{"info":"NaN⩷∴⫏≰11000220=NaN","layer":2},{"info":"↔NaN=⫏≰-11222","layer":1},{"info":"⫏≰1122100↪⪝=⫏≰12002210201100000","layer":3},{"info":"⫏≰2202101↬⫏≰10202122=NaN","layer":3},{"info":"⫏≰12002210201100000⇷NaN=NaN","layer":2},{"info":"⫏≰11022012⩨⫏≰1112102=⫏≰0","layer":3},{"info":"↣≠⋷⫏≰0=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"⫏≰-11222⪮%⊝NaN=NaN","layer":0}]}
{"id":991,"expression_no_base_symbol":"(⋗⩬⋾($7194$%$4133$)+⇶⊼($1515$⩨$7341$))⋳⪒(($2106$⪄$8609$)⇷($9713$≋⫹))⇷($1086$⨓$2181$)⪮%⊝(⊄⩳↩$5952$)","expression":"(⋗⩬⋾(⫏≰100212110%⫏≰12200002)+⇶⊼(⫏≰2002010⩨⫏≰101001220))⋳⪒((⫏≰2220000⪄⫏≰102210212)⇷(⫏≰111022202≋⫹))⇷(⫏≰1111020⨓⫏≰2222210)⪮%⊝(⊄⩳↩⫏≰22011110)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4799608,"operation_count":12,"complexity_ratio":399967.3333333333,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7194,"base":3},"right_expr":{"type":"numeric_atoms","value":4133,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1515,"base":3},"right_expr":{"type":"numeric_atoms","value":7341,"base":3}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2106,"base":3},"right_expr":{"type":"numeric_atoms","value":8609,"base":3}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":9713,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1086,"base":3},"right_expr":{"type":"numeric_atoms","value":2181,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5952,"base":3}}}}},"used_operators":["12rbrZMWeM","DpFCA1CohY","TpPTUOHfaN","k8jYdgA6NY","2DlMacCsIx","mp7IySMOzn","SUmda5xLS4","N41Kp7NANJ","IWmyXbctLI","3ViojmjbAp","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7194","layer":4},{"info":"number node, value=4133","layer":4},{"info":"compute binary expreesion, left_input=7194, right_input=4133, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3061","layer":3},{"info":"number node, value=1515","layer":4},{"info":"number node, value=7341","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=7341, 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=3061, right_input=-12, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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=2106","layer":4},{"info":"number node, value=8609","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=8609, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-342213","layer":3},{"info":"number node, value=9713","layer":4},{"info":"compute unary expreesion, input=9713, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-19426","layer":3},{"info":"compute binary expreesion, left_input=-342213, right_input=-19426, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1086","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=2181, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2184","layer":3},{"info":"number node, value=5952","layer":4},{"info":"compute unary expreesion, input=5952, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17856","layer":3},{"info":"compute binary expreesion, left_input=-2184, right_input=-17856, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-4052","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4052, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⋗⩬⋾(⫏≰100212110%⫏≰12200002)+⇶⊼(⫏≰2002010⩨⫏≰101001220))⋳⪒((⫏≰2220000⪄⫏≰102210212)⇷(⫏≰111022202≋⫹))⇷(⫏≰1111020⨓⫏≰2222210)⪮%⊝(⊄⩳↩⫏≰22011110)=NaN","reverse_text":"NaN=(⋗⩬⋾(⫏≰100212110%⫏≰12200002)+⇶⊼(⫏≰2002010⩨⫏≰101001220))⋳⪒((⫏≰2220000⪄⫏≰102210212)⇷(⫏≰111022202≋⫹))⇷(⫏≰1111020⨓⫏≰2222210)⪮%⊝(⊄⩳↩⫏≰22011110)","cot":[{"info":"⫏≰100212110%⫏≰12200002=⫏≰11012101","layer":3},{"info":"⫏≰2002010⩨⫏≰101001220=⫏≰-110","layer":3},{"info":"⫏≰11012101+⇶⊼⫏≰-110=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⫏≰2220000⪄⫏≰102210212=⫏≰-122101102120","layer":3},{"info":"⫏≰111022202≋⫹=⫏≰-222122111","layer":3},{"info":"⫏≰-122101102120⇷⫏≰-222122111=NaN","layer":2},{"info":"⫏≰1111020⨓⫏≰2222210=⫏≰-2222220","layer":3},{"info":"⊄⩳↩⫏≰22011110=⫏≰-220111100","layer":3},{"info":"⫏≰-2222220⪮%⊝⫏≰-220111100=⫏≰-12120002","layer":2},{"info":"NaN⇷⫏≰-12120002=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":992,"expression_no_base_symbol":"-((-$5028$)+($6108$↛⩡⫤))∀⇚≩((⨰⫟⨤$1630$)⪄($2422$⊠≄⫣))","expression":"-((-⫏≰20220020)+(⫏≰22101020↛⩡⫤))∀⇚≩((⨰⫟⨤⫏≰2020101)⪄(⫏≰10022201⊠≄⫣))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6488141,"operation_count":8,"complexity_ratio":811017.625,"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":5028,"base":3}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":6108,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1630,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2422,"base":3}}}}},"used_operators":["t8gj7n24qd","LRNGc0VcxI","W4YGzv6Whe","FU0Cs4j7VP","SUmda5xLS4","Tw270M8GLb","DIvbN7qnHd"],"dependent_operators":["X99M06cbEe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5028","layer":4},{"info":"compute unary expreesion, input=5028, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5028","layer":3},{"info":"number node, value=6108","layer":4},{"info":"compute unary expreesion, input=6108, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-918397","layer":3},{"info":"compute binary expreesion, left_input=-5028, right_input=-918397, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-923425","layer":2},{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2422","layer":4},{"info":"compute unary expreesion, input=2422, 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 = 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=-923425, right_input=3979, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"-((-⫏≰20220020)+(⫏≰22101020↛⩡⫤))∀⇚≩((⨰⫟⨤⫏≰2020101)⪄(⫏≰10022201⊠≄⫣))=NaN","reverse_text":"NaN=-((-⫏≰20220020)+(⫏≰22101020↛⩡⫤))∀⇚≩((⨰⫟⨤⫏≰2020101)⪄(⫏≰10022201⊠≄⫣))","cot":[{"info":"-⫏≰20220020=⫏≰-20220020","layer":3},{"info":"⫏≰22101020↛⩡⫤=⫏≰-1201122210201","layer":3},{"info":"⫏≰-20220020+⫏≰-1201122210201=⫏≰-1201220200221","layer":2},{"info":"⨰⫟⨤⫏≰2020101=NaN","layer":3},{"info":"⫏≰10022201⊠≄⫣=⫏≰0","layer":3},{"info":"NaN⪄⫏≰0=⫏≰12110101","layer":2},{"info":"⫏≰-1201220200221∀⇚≩⫏≰12110101=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":993,"expression_no_base_symbol":"(($1824$⋥≓≎$2263$)≹⇙⪍($3656$⨐⩸⫘$5310$)⊪)∀⇚≩(⨵≀≌(($7534$%$2923$)%$2383$⨓$2669$))","expression":"((⫏≰2111120⋥≓≎⫏≰10002211)≹⇙⪍(⫏≰12000102⨐⩸⫘⫏≰21021200)⊪)∀⇚≩(⨵≀≌((⫏≰101100001%⫏≰11000021)%⫏≰10021021⨓⫏≰10122212))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3687,"operation_count":9,"complexity_ratio":409.6666666666667,"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":1824,"base":3},"right_expr":{"type":"numeric_atoms","value":2263,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3656,"base":3},"right_expr":{"type":"numeric_atoms","value":5310,"base":3}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7534,"base":3},"right_expr":{"type":"numeric_atoms","value":2923,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2383,"base":3},"right_expr":{"type":"numeric_atoms","value":2669,"base":3}}}}},"used_operators":["LRNGc0VcxI","zVYPLywUTj","AHs5Up7iyr","Qy55tPpLXF","fu6greOZ01","srAu1WTS94","k8jYdgA6NY","3ViojmjbAp"],"dependent_operators":["X99M06cbEe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1824","layer":4},{"info":"number node, value=2263","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=2263, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2735","layer":3},{"info":"number node, value=3656","layer":4},{"info":"number node, value=5310","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=5310, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2735, 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 = 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":"number node, value=7534","layer":4},{"info":"number node, value=2923","layer":4},{"info":"compute binary expreesion, left_input=7534, right_input=2923, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1688","layer":3},{"info":"number node, value=2383","layer":4},{"info":"number node, value=2669","layer":4},{"info":"compute binary expreesion, left_input=2383, right_input=2669, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2672","layer":3},{"info":"compute binary expreesion, left_input=1688, right_input=-2672, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-984","layer":2},{"info":"compute unary expreesion, input=-984, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=968256","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=968256, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":3,"result_base":3,"text":"((⫏≰2111120⋥≓≎⫏≰10002211)≹⇙⪍(⫏≰12000102⨐⩸⫘⫏≰21021200)⊪)∀⇚≩(⨵≀≌((⫏≰101100001%⫏≰11000021)%⫏≰10021021⨓⫏≰10122212))=NaN","reverse_text":"NaN=((⫏≰2111120⋥≓≎⫏≰10002211)≹⇙⪍(⫏≰12000102⨐⩸⫘⫏≰21021200)⊪)∀⇚≩(⨵≀≌((⫏≰101100001%⫏≰11000021)%⫏≰10021021⨓⫏≰10122212))","cot":[{"info":"⫏≰2111120⋥≓≎⫏≰10002211=⫏≰10202022","layer":3},{"info":"⫏≰12000102⨐⩸⫘⫏≰21021200=NaN","layer":3},{"info":"⫏≰10202022≹⇙⪍NaN=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⫏≰101100001%⫏≰11000021=⫏≰2022112","layer":3},{"info":"⫏≰10021021⨓⫏≰10122212=⫏≰-10122222","layer":3},{"info":"⫏≰2022112%⫏≰-10122222=⫏≰-1100110","layer":2},{"info":"⨵≀≌⫏≰-1100110=⫏≰1211012012100","layer":1},{"info":"NaN∀⇚≩⫏≰1211012012100=NaN","layer":0}]}
{"id":994,"expression_no_base_symbol":"($3121$⩨$6188$⨵⪆$3014$⩷∴$5457$)∀⇚≩($1822$⋷$3812$↪⪝)⋳⪒((⫓⪴$5814$)-(↯⪼$1895$))+⇶⊼($5920$⫥∨⫟$6802$)⨰$3968$⨪↰⇹$3288$","expression":"(⫏≰11021121⩨⫏≰22111012⨵⪆⫏≰11010122⩷∴⫏≰21111010)∀⇚≩(⫏≰2111111⋷⫏≰12020012↪⪝)⋳⪒((⫓⪴⫏≰21222100)-(↯⪼⫏≰2121012))+⇶⊼(⫏≰22010021⫥∨⫟⫏≰100022221)⨰⫏≰12102222⨪↰⇹⫏≰11111210","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11816,"operation_count":14,"complexity_ratio":844.0,"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":3121,"base":3},"right_expr":{"type":"numeric_atoms","value":6188,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3014,"base":3},"right_expr":{"type":"numeric_atoms","value":5457,"base":3}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1822,"base":3},"right_expr":{"type":"numeric_atoms","value":3812,"base":3}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5814,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1895,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5920,"base":3},"right_expr":{"type":"numeric_atoms","value":6802,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3968,"base":3},"right_expr":{"type":"numeric_atoms","value":3288,"base":3}}}}},"used_operators":["12rbrZMWeM","LRNGc0VcxI","2DQ55sFlQl","2DlMacCsIx","9FxExcQeMw","l07mrZUIn9","23Mk6UjR3U","TpPTUOHfaN","rysDP5nf3Z","eLxqMNBOBk","8jW3W4yZS5","eewbuw0ToL","KYD54nUTWz","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3121","layer":4},{"info":"number node, value=6188","layer":4},{"info":"compute binary expreesion, left_input=3121, right_input=6188, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=3014","layer":4},{"info":"number node, value=5457","layer":4},{"info":"compute binary expreesion, left_input=3014, right_input=5457, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4918","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-4918, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1822","layer":4},{"info":"number node, value=3812","layer":4},{"info":"compute binary expreesion, left_input=1822, right_input=3812, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5802","layer":3},{"info":"compute unary expreesion, input=5802, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=354977964","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=354977964, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5814","layer":4},{"info":"compute unary expreesion, input=5814, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=33802596","layer":3},{"info":"number node, value=1895","layer":4},{"info":"compute unary expreesion, input=1895, 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=33802596, right_input=-21, op_id = rysDP5nf3Z binary_op_definition= 'None', output=33802617","layer":2},{"info":"number node, value=5920","layer":4},{"info":"number node, value=6802","layer":4},{"info":"compute binary expreesion, left_input=5920, right_input=6802, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3968","layer":4},{"info":"number node, value=3288","layer":4},{"info":"compute binary expreesion, left_input=3968, 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=3968","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3968, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=33802617, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11021121⩨⫏≰22111012⨵⪆⫏≰11010122⩷∴⫏≰21111010)∀⇚≩(⫏≰2111111⋷⫏≰12020012↪⪝)⋳⪒((⫓⪴⫏≰21222100)-(↯⪼⫏≰2121012))+⇶⊼(⫏≰22010021⫥∨⫟⫏≰100022221)⨰⫏≰12102222⨪↰⇹⫏≰11111210=NaN","reverse_text":"NaN=(⫏≰11021121⩨⫏≰22111012⨵⪆⫏≰11010122⩷∴⫏≰21111010)∀⇚≩(⫏≰2111111⋷⫏≰12020012↪⪝)⋳⪒((⫓⪴⫏≰21222100)-(↯⪼⫏≰2121012))+⇶⊼(⫏≰22010021⫥∨⫟⫏≰100022221)⨰⫏≰12102222⨪↰⇹⫏≰11111210","cot":[{"info":"⫏≰11021121⩨⫏≰22111012=⫏≰-10","layer":3},{"info":"⫏≰11010122⩷∴⫏≰21111010=⫏≰-20202011","layer":3},{"info":"⫏≰-10⨵⪆⫏≰-20202011=⫏≰12221","layer":2},{"info":"⫏≰2111111⋷⫏≰12020012=⫏≰21221220","layer":3},{"info":"⫏≰21221220↪⪝=⫏≰220201221202020000","layer":2},{"info":"⫏≰12221∀⇚≩⫏≰220201221202020000=NaN","layer":1},{"info":"⫓⪴⫏≰21222100=⫏≰2100121100110000","layer":3},{"info":"↯⪼⫏≰2121012=⫏≰-210","layer":3},{"info":"⫏≰2100121100110000-⫏≰-210=⫏≰2100121100110210","layer":2},{"info":"⫏≰22010021⫥∨⫟⫏≰100022221=NaN","layer":3},{"info":"⫏≰12102222⨪↰⇹⫏≰11111210=⫏≰12102222","layer":3},{"info":"NaN⨰⫏≰12102222=NaN","layer":2},{"info":"⫏≰2100121100110210+⇶⊼NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":995,"expression_no_base_symbol":"⪲⇎$1200$⩚⊴⇥$8802$≎⊠⪸$2692$⋓$3483$+⇶⊼($9422$∧)⋓(+⊝⨔$1661$)","expression":"⪲⇎⫏≰1122110⩚⊴⇥⫏≰110002000≎⊠⪸⫏≰10200201⋓⫏≰11210000+⇶⊼(⫏≰110220222∧)⋓(+⊝⨔⫏≰2021112)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":349,"operation_count":8,"complexity_ratio":43.625,"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":1200,"base":3},"right_expr":{"type":"numeric_atoms","value":8802,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2692,"base":3},"right_expr":{"type":"numeric_atoms","value":3483,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":9422,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1661,"base":3}}}}},"used_operators":["XPYlsWDdGa","TpPTUOHfaN","bJkvcejdHO","NTOWxs364D","T2fj7uvVaJ","z63VuFQld9","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1200","layer":4},{"info":"number node, value=8802","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=8802, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10123","layer":3},{"info":"number node, value=2692","layer":4},{"info":"number node, value=3483","layer":4},{"info":"compute binary expreesion, left_input=2692, right_input=3483, op_id = T2fj7uvVaJ 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=-10123, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2621857","layer":2},{"info":"number node, value=9422","layer":4},{"info":"compute unary expreesion, input=9422, 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=1661","layer":4},{"info":"compute unary expreesion, input=1661, 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 = T2fj7uvVaJ 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=2621857, 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":1},{"info":"compute unary expreesion, input=0, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"⪲⇎⫏≰1122110⩚⊴⇥⫏≰110002000≎⊠⪸⫏≰10200201⋓⫏≰11210000+⇶⊼(⫏≰110220222∧)⋓(+⊝⨔⫏≰2021112)=⫏≰0","reverse_text":"⫏≰0=⪲⇎⫏≰1122110⩚⊴⇥⫏≰110002000≎⊠⪸⫏≰10200201⋓⫏≰11210000+⇶⊼(⫏≰110220222∧)⋓(+⊝⨔⫏≰2021112)","cot":[{"info":"⫏≰1122110⩚⊴⇥⫏≰110002000=⫏≰-111212221","layer":3},{"info":"⫏≰10200201⋓⫏≰11210000=⫏≰0","layer":3},{"info":"⫏≰-111212221≎⊠⪸⫏≰0=⫏≰11221012111211","layer":2},{"info":"⫏≰110220222∧=NaN","layer":3},{"info":"+⊝⨔⫏≰2021112=⫏≰2002101","layer":3},{"info":"NaN⋓⫏≰2002101=⫏≰0","layer":2},{"info":"⫏≰11221012111211+⇶⊼⫏≰0=⫏≰0","layer":1},{"info":"⪲⇎⫏≰0=⫏≰0","layer":0}]}
{"id":996,"expression_no_base_symbol":"((⨑⩽⪐$1781$)≋⫹)-($1320$⩨$3694$)⪛(⇁⨣⪵$2429$)⪨≂$4590$⨪↰⇹$6837$⨓(⩦⩻⨪$1826$)↺($2131$⇼⇔∾$3168$)⊴($2905$⨳⩥⨓$3033$)","expression":"((⨑⩽⪐⫏≰2102222)≋⫹)-(⫏≰1210220⩨⫏≰12001211)⪛(⇁⨣⪵⫏≰10022222)⪨≂⫏≰20022000⨪↰⇹⫏≰100101020⨓(⩦⩻⨪⫏≰2111122)↺(⫏≰2220221⇼⇔∾⫏≰11100100)⊴(⫏≰10222121⨳⩥⨓⫏≰11011100)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7959,"operation_count":14,"complexity_ratio":568.5,"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":1781,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1320,"base":3},"right_expr":{"type":"numeric_atoms","value":3694,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2429,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4590,"base":3},"right_expr":{"type":"numeric_atoms","value":6837,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1826,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2131,"base":3},"right_expr":{"type":"numeric_atoms","value":3168,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2905,"base":3},"right_expr":{"type":"numeric_atoms","value":3033,"base":3}}}}},"used_operators":["sdazOOVcIp","rysDP5nf3Z","N41Kp7NANJ","AF7qkfDlqP","uFcxV4UQCh","2DlMacCsIx","inkyxCbjAn","7j4O788W3g","3ViojmjbAp","tmPS8pqC7x","2td37pGCOC","Nsiff2A1zJ","tifHPKVTfV","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1781","layer":4},{"info":"compute unary expreesion, input=1781, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1508","layer":3},{"info":"compute unary expreesion, input=-1508, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=3016","layer":2},{"info":"number node, value=1320","layer":4},{"info":"number node, value=3694","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=3694, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=2429","layer":4},{"info":"compute unary expreesion, input=2429, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6, 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=3016, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4590","layer":4},{"info":"number node, value=6837","layer":4},{"info":"compute binary expreesion, left_input=4590, right_input=6837, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4590","layer":3},{"info":"number node, value=1826","layer":4},{"info":"compute unary expreesion, input=1826, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1826","layer":3},{"info":"compute binary expreesion, left_input=4590, right_input=1826, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1829","layer":2},{"info":"number node, value=2131","layer":4},{"info":"number node, value=3168","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=3168, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1037","layer":3},{"info":"number node, value=2905","layer":4},{"info":"number node, value=3033","layer":4},{"info":"compute binary expreesion, left_input=2905, right_input=3033, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=128","layer":3},{"info":"compute binary expreesion, left_input=1037, right_input=128, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1829, 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 = 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":3,"result_base":3,"text":"((⨑⩽⪐⫏≰2102222)≋⫹)-(⫏≰1210220⩨⫏≰12001211)⪛(⇁⨣⪵⫏≰10022222)⪨≂⫏≰20022000⨪↰⇹⫏≰100101020⨓(⩦⩻⨪⫏≰2111122)↺(⫏≰2220221⇼⇔∾⫏≰11100100)⊴(⫏≰10222121⨳⩥⨓⫏≰11011100)=NaN","reverse_text":"NaN=((⨑⩽⪐⫏≰2102222)≋⫹)-(⫏≰1210220⩨⫏≰12001211)⪛(⇁⨣⪵⫏≰10022222)⪨≂⫏≰20022000⨪↰⇹⫏≰100101020⨓(⩦⩻⨪⫏≰2111122)↺(⫏≰2220221⇼⇔∾⫏≰11100100)⊴(⫏≰10222121⨳⩥⨓⫏≰11011100)","cot":[{"info":"⨑⩽⪐⫏≰2102222=⫏≰-2001212","layer":3},{"info":"⫏≰-2001212≋⫹=⫏≰11010201","layer":2},{"info":"⫏≰1210220⩨⫏≰12001211=⫏≰-20","layer":3},{"info":"⇁⨣⪵⫏≰10022222=NaN","layer":3},{"info":"⫏≰-20⪛NaN=NaN","layer":2},{"info":"⫏≰11010201-NaN=NaN","layer":1},{"info":"⫏≰20022000⨪↰⇹⫏≰100101020=⫏≰20022000","layer":3},{"info":"⩦⩻⨪⫏≰2111122=⫏≰2111122","layer":3},{"info":"⫏≰20022000⨓⫏≰2111122=⫏≰-2111202","layer":2},{"info":"⫏≰2220221⇼⇔∾⫏≰11100100=⫏≰1102102","layer":3},{"info":"⫏≰10222121⨳⩥⨓⫏≰11011100=⫏≰11202","layer":3},{"info":"⫏≰1102102⊴⫏≰11202=NaN","layer":2},{"info":"⫏≰-2111202↺NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":997,"expression_no_base_symbol":"(($1855$⨐⩸⫘$5922$)⨐⩸⫘(↣≠⋷$4687$)⨸⪁(($1107$≣⋋)+(↩$2170$)))≧⫂∧(($1182$/$3739$)≹⇙⪍($1463$≹⇙⪍$2439$)⪒($3401$↬$2254$↛⩡⫤))","expression":"((⫏≰2112201⨐⩸⫘⫏≰22010100)⨐⩸⫘(↣≠⋷⫏≰20102121)⨸⪁((⫏≰1112000≣⋋)+(↩⫏≰2222101)))≧⫂∧((⫏≰1121210/⫏≰12010111)≹⇙⪍(⫏≰2000012≹⇙⪍⫏≰10100100)⪒(⫏≰11122222↬⫏≰10002111↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":610,"operation_count":14,"complexity_ratio":43.57142857142857,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1855,"base":3},"right_expr":{"type":"numeric_atoms","value":5922,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4687,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1107,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2170,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1182,"base":3},"right_expr":{"type":"numeric_atoms","value":3739,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1463,"base":3},"right_expr":{"type":"numeric_atoms","value":2439,"base":3}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3401,"base":3},"right_expr":{"type":"numeric_atoms","value":2254,"base":3}}}}},"used_operators":["Ph9nP6C5qx","g55IO6H4Gj","fu6greOZ01","Asc51vEJeQ","W4YGzv6Whe","Tcnh7f0tEr","jLgFTUHLKL","f6k1SAg4EE","AHs5Up7iyr","XhwjNDsVaA","FU0Cs4j7VP","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1855","layer":4},{"info":"number node, value=5922","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=5922, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4687","layer":4},{"info":"compute unary expreesion, input=4687, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1107","layer":4},{"info":"compute unary expreesion, input=1107, 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=2170","layer":4},{"info":"compute unary expreesion, input=2170, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-14580","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14580, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-14580","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14580, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1182","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=3739, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1463","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=2439, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3401","layer":4},{"info":"number node, value=2254","layer":4},{"info":"compute binary expreesion, left_input=3401, right_input=2254, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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=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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2112201⨐⩸⫘⫏≰22010100)⨐⩸⫘(↣≠⋷⫏≰20102121)⨸⪁((⫏≰1112000≣⋋)+(↩⫏≰2222101)))≧⫂∧((⫏≰1121210/⫏≰12010111)≹⇙⪍(⫏≰2000012≹⇙⪍⫏≰10100100)⪒(⫏≰11122222↬⫏≰10002111↛⩡⫤))=NaN","reverse_text":"NaN=((⫏≰2112201⨐⩸⫘⫏≰22010100)⨐⩸⫘(↣≠⋷⫏≰20102121)⨸⪁((⫏≰1112000≣⋋)+(↩⫏≰2222101)))≧⫂∧((⫏≰1121210/⫏≰12010111)≹⇙⪍(⫏≰2000012≹⇙⪍⫏≰10100100)⪒(⫏≰11122222↬⫏≰10002111↛⩡⫤))","cot":[{"info":"⫏≰2112201⨐⩸⫘⫏≰22010100=NaN","layer":3},{"info":"↣≠⋷⫏≰20102121=NaN","layer":3},{"info":"NaN⨐⩸⫘NaN=NaN","layer":2},{"info":"⫏≰1112000≣⋋=⫏≰0","layer":3},{"info":"↩⫏≰2222101=⫏≰-202000000","layer":3},{"info":"⫏≰0+⫏≰-202000000=⫏≰-202000000","layer":2},{"info":"NaN⨸⪁⫏≰-202000000=NaN","layer":1},{"info":"⫏≰1121210/⫏≰12010111=⫏≰0","layer":3},{"info":"⫏≰2000012≹⇙⪍⫏≰10100100=NaN","layer":3},{"info":"⫏≰0≹⇙⪍NaN=NaN","layer":2},{"info":"⫏≰11122222↬⫏≰10002111=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":998,"expression_no_base_symbol":"((($3126$⊠≄⫣)⫌⩹⨱)↙($8550$≭$3127$)≹⇙⪍($4967$⊭∹↮))≹⇙⪍(($5120$⪒$1977$)⨪↰⇹($6978$%$2862$)+⇶⊼($1398$%$3775$)≹⇙⪍($1021$⨳⩥⨓$4554$))","expression":"(((⫏≰11021210⊠≄⫣)⫌⩹⨱)↙(⫏≰102201200≭⫏≰11021211)≹⇙⪍(⫏≰20210222⊭∹↮))≹⇙⪍((⫏≰21000122⪒⫏≰2201020)⨪↰⇹(⫏≰100120110%⫏≰10221000)+⇶⊼(⫏≰1220210%⫏≰12011211)≹⇙⪍(⫏≰1101211⨳⩥⨓⫏≰20020200))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7131,"operation_count":14,"complexity_ratio":509.35714285714283,"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":3126,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":8550,"base":3},"right_expr":{"type":"numeric_atoms","value":3127,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4967,"base":3}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5120,"base":3},"right_expr":{"type":"numeric_atoms","value":1977,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6978,"base":3},"right_expr":{"type":"numeric_atoms","value":2862,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1398,"base":3},"right_expr":{"type":"numeric_atoms","value":3775,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1021,"base":3},"right_expr":{"type":"numeric_atoms","value":4554,"base":3}}}}},"used_operators":["AHs5Up7iyr","yyfyN0ffXY","EBcxylXtPf","DIvbN7qnHd","rxpJgHHUmx","xNBdhnnwKq","TpPTUOHfaN","tmPS8pqC7x","f6k1SAg4EE","k8jYdgA6NY","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3126","layer":4},{"info":"compute unary expreesion, input=3126, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":2},{"info":"number node, value=8550","layer":4},{"info":"number node, value=3127","layer":4},{"info":"compute binary expreesion, left_input=8550, right_input=3127, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4967","layer":4},{"info":"compute unary expreesion, input=4967, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9934","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9934, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1401, 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=5120","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=5120, right_input=1977, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7097","layer":3},{"info":"number node, value=6978","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=6978, right_input=2862, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1254","layer":3},{"info":"compute binary expreesion, left_input=-7097, right_input=1254, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7097","layer":2},{"info":"number node, value=1398","layer":4},{"info":"number node, value=3775","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=3775, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1398","layer":3},{"info":"number node, value=1021","layer":4},{"info":"number node, value=4554","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=4554, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3533","layer":3},{"info":"compute binary expreesion, left_input=1398, right_input=3533, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=7097, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":3,"result_base":3,"text":"(((⫏≰11021210⊠≄⫣)⫌⩹⨱)↙(⫏≰102201200≭⫏≰11021211)≹⇙⪍(⫏≰20210222⊭∹↮))≹⇙⪍((⫏≰21000122⪒⫏≰2201020)⨪↰⇹(⫏≰100120110%⫏≰10221000)+⇶⊼(⫏≰1220210%⫏≰12011211)≹⇙⪍(⫏≰1101211⨳⩥⨓⫏≰20020200))=NaN","reverse_text":"NaN=(((⫏≰11021210⊠≄⫣)⫌⩹⨱)↙(⫏≰102201200≭⫏≰11021211)≹⇙⪍(⫏≰20210222⊭∹↮))≹⇙⪍((⫏≰21000122⪒⫏≰2201020)⨪↰⇹(⫏≰100120110%⫏≰10221000)+⇶⊼(⫏≰1220210%⫏≰12011211)≹⇙⪍(⫏≰1101211⨳⩥⨓⫏≰20020200))","cot":[{"info":"⫏≰11021210⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰0⫌⩹⨱=⫏≰1220220","layer":2},{"info":"⫏≰102201200≭⫏≰11021211=NaN","layer":3},{"info":"⫏≰20210222⊭∹↮=⫏≰111121221","layer":3},{"info":"NaN≹⇙⪍⫏≰111121221=NaN","layer":2},{"info":"⫏≰1220220↙NaN=NaN","layer":1},{"info":"⫏≰21000122⪒⫏≰2201020=⫏≰-100201212","layer":3},{"info":"⫏≰100120110%⫏≰10221000=⫏≰1201110","layer":3},{"info":"⫏≰-100201212⨪↰⇹⫏≰1201110=⫏≰100201212","layer":2},{"info":"⫏≰1220210%⫏≰12011211=⫏≰1220210","layer":3},{"info":"⫏≰1101211⨳⩥⨓⫏≰20020200=⫏≰11211212","layer":3},{"info":"⫏≰1220210≹⇙⪍⫏≰11211212=NaN","layer":2},{"info":"⫏≰100201212+⇶⊼NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":999,"expression_no_base_symbol":"(⊄⩳↩(($1098$⪨≂$3039$)⊭↱$1383$⪛$2036$))⪒(($3883$≋⫹)/$3575$*$4783$)↬(⫓⪴($1351$⨳⩥⨓$4817$))","expression":"(⊄⩳↩((⫏≰1111200⪨≂⫏≰11011120)⊭↱⫏≰1220020⪛⫏≰2210102))⪒((⫏≰12022211≋⫹)/⫏≰11220102*⫏≰20120011)↬(⫓⪴(⫏≰1212001⨳⩥⨓⫏≰20121102))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7070,"operation_count":11,"complexity_ratio":642.7272727272727,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1098,"base":3},"right_expr":{"type":"numeric_atoms","value":3039,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1383,"base":3},"right_expr":{"type":"numeric_atoms","value":2036,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3883,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3575,"base":3},"right_expr":{"type":"numeric_atoms","value":4783,"base":3}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1351,"base":3},"right_expr":{"type":"numeric_atoms","value":4817,"base":3}}}}},"used_operators":["f6k1SAg4EE","8w2t5hMYqp","COABgblf1C","sdazOOVcIp","uFcxV4UQCh","B5M0gjZbta","XhwjNDsVaA","N41Kp7NANJ","9HNa5Wba9A","eLxqMNBOBk","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=3039, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3780","layer":3},{"info":"number node, value=1383","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=2036, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1383","layer":3},{"info":"compute binary expreesion, left_input=-3780, right_input=1383, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10331","layer":2},{"info":"compute unary expreesion, input=10331, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-30993","layer":1},{"info":"number node, value=3883","layer":4},{"info":"compute unary expreesion, input=3883, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7766","layer":3},{"info":"number node, value=3575","layer":4},{"info":"number node, value=4783","layer":4},{"info":"compute binary expreesion, left_input=3575, right_input=4783, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17099225","layer":3},{"info":"compute binary expreesion, left_input=-7766, right_input=17099225, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1351","layer":4},{"info":"number node, value=4817","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=4817, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3466","layer":3},{"info":"compute unary expreesion, input=3466, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12013156","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=12013156, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-30993, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊄⩳↩((⫏≰1111200⪨≂⫏≰11011120)⊭↱⫏≰1220020⪛⫏≰2210102))⪒((⫏≰12022211≋⫹)/⫏≰11220102*⫏≰20120011)↬(⫓⪴(⫏≰1212001⨳⩥⨓⫏≰20121102))=NaN","reverse_text":"NaN=(⊄⩳↩((⫏≰1111200⪨≂⫏≰11011120)⊭↱⫏≰1220020⪛⫏≰2210102))⪒((⫏≰12022211≋⫹)/⫏≰11220102*⫏≰20120011)↬(⫓⪴(⫏≰1212001⨳⩥⨓⫏≰20121102))","cot":[{"info":"⫏≰1111200⪨≂⫏≰11011120=⫏≰-12012000","layer":3},{"info":"⫏≰1220020⪛⫏≰2210102=⫏≰1220020","layer":3},{"info":"⫏≰-12012000⊭↱⫏≰1220020=⫏≰112011122","layer":2},{"info":"⊄⩳↩⫏≰112011122=⫏≰-1120111220","layer":1},{"info":"⫏≰12022211≋⫹=⫏≰-101122122","layer":3},{"info":"⫏≰11220102*⫏≰20120011=⫏≰1012011201201122","layer":3},{"info":"⫏≰-101122122/⫏≰1012011201201122=⫏≰-1","layer":2},{"info":"⫏≰1212001⨳⩥⨓⫏≰20121102=⫏≰11202101","layer":3},{"info":"⫓⪴⫏≰11202101=⫏≰211121022221201","layer":2},{"info":"⫏≰-1↬⫏≰211121022221201=NaN","layer":1},{"info":"⫏≰-1120111220⪒NaN=NaN","layer":0}]}
{"id":1000,"expression_no_base_symbol":"((⊙↵-($3408$∸))⩚⊴⇥(($2164$⪄$1743$)⩚⊴⇥$4564$⨓$1893$))⇷(($5352$⊠≄⫣)≭$2353$⇷$4598$⊭↱($2595$⨰$1038$⩤))","expression":"((⊙↵-(⫏≰11200020∸))⩚⊴⇥((⫏≰2222011⪄⫏≰2101120)⩚⊴⇥⫏≰20021001⨓⫏≰2121010))⇷((⫏≰21100020⊠≄⫣)≭⫏≰10020011⇷⫏≰20022022⊭↱(⫏≰10120010⨰⫏≰1102110⩤))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4588557,"operation_count":13,"complexity_ratio":352965.92307692306,"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":3408,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2164,"base":3},"right_expr":{"type":"numeric_atoms","value":1743,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4564,"base":3},"right_expr":{"type":"numeric_atoms","value":1893,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5352,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2353,"base":3},"right_expr":{"type":"numeric_atoms","value":4598,"base":3}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2595,"base":3},"right_expr":{"type":"numeric_atoms","value":1038,"base":3}}}}},"used_operators":["mp7IySMOzn","NTOWxs364D","oWn0xqSxBt","o20kRiQErp","SUmda5xLS4","3ViojmjbAp","COABgblf1C","rxpJgHHUmx","DIvbN7qnHd","Z2TMIBDE3Q","eewbuw0ToL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3408","layer":4},{"info":"compute unary expreesion, input=3408, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"number node, value=2164","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=2164, right_input=1743, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-323333","layer":3},{"info":"number node, value=4564","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=4564, right_input=1893, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1896","layer":3},{"info":"compute binary expreesion, left_input=-323333, right_input=-1896, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=325108","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=325108, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-325229","layer":1},{"info":"number node, value=5352","layer":4},{"info":"compute unary expreesion, input=5352, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2353","layer":4},{"info":"number node, value=4598","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=4598, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9196","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9196, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2595","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=2595, right_input=1038, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1567","layer":3},{"info":"compute unary expreesion, input=1567, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1567","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1567, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-325229, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊙↵-(⫏≰11200020∸))⩚⊴⇥((⫏≰2222011⪄⫏≰2101120)⩚⊴⇥⫏≰20021001⨓⫏≰2121010))⇷((⫏≰21100020⊠≄⫣)≭⫏≰10020011⇷⫏≰20022022⊭↱(⫏≰10120010⨰⫏≰1102110⩤))=NaN","reverse_text":"NaN=((⊙↵-(⫏≰11200020∸))⩚⊴⇥((⫏≰2222011⪄⫏≰2101120)⩚⊴⇥⫏≰20021001⨓⫏≰2121010))⇷((⫏≰21100020⊠≄⫣)≭⫏≰10020011⇷⫏≰20022022⊭↱(⫏≰10120010⨰⫏≰1102110⩤))","cot":[{"info":"⫏≰11200020∸=⫏≰20120","layer":3},{"info":"⊙↵-⫏≰20120=⫏≰0","layer":2},{"info":"⫏≰2222011⪄⫏≰2101120=⫏≰-121102112022","layer":3},{"info":"⫏≰20021001⨓⫏≰2121010=⫏≰-2121020","layer":3},{"info":"⫏≰-121102112022⩚⊴⇥⫏≰-2121020=⫏≰121111222001","layer":2},{"info":"⫏≰0⩚⊴⇥⫏≰121111222001=⫏≰-121112010112","layer":1},{"info":"⫏≰21100020⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰10020011⇷⫏≰20022022=⫏≰110121121","layer":3},{"info":"⫏≰0≭⫏≰110121121=NaN","layer":2},{"info":"⫏≰10120010⨰⫏≰1102110=⫏≰2011001","layer":3},{"info":"⫏≰2011001⩤=⫏≰-2011001","layer":2},{"info":"NaN⊭↱⫏≰-2011001=NaN","layer":1},{"info":"⫏≰-121112010112⇷NaN=NaN","layer":0}]}